diff --git a/src/openfermion/circuits/gates/four_qubit_gates.py b/src/openfermion/circuits/gates/four_qubit_gates.py
index 401d378f7..8916f0d03 100644
--- a/src/openfermion/circuits/gates/four_qubit_gates.py
+++ b/src/openfermion/circuits/gates/four_qubit_gates.py
@@ -124,9 +124,13 @@ def _circuit_diagram_info_(self, args: cirq.CircuitDiagramInfoArgs) -> cirq.Circ
             # Split up this string to avoid SyntaxError in Python 3.12.
             down_up = r'\/ /' + '\\'
             wire_symbols = (up_down, up_down, down_up, down_up)
-        return cirq.CircuitDiagramInfo(
-            wire_symbols=wire_symbols, exponent=self._diagram_exponent(args)
-        )
+
+        exponent = self._diagram_exponent(args)
+        if isinstance(exponent, (int, float, np.integer, np.floating)):
+            # Canonicalize rounded exponent into (-1, 1] range (DoubleExcitation has period 2)
+            exponent = 1.0 - (1.0 - exponent) % 2.0
+
+        return cirq.CircuitDiagramInfo(wire_symbols=wire_symbols, exponent=exponent)
 
     def __repr__(self):
         if self.exponent == 1: