Checks · Approximate Antiunitary Symmetry as a Matching Problem

Recorded output of the exact-arithmetic verification

The exact-arithmetic program's output, on matrices of size 1 to 7 (dimensions): 210 exact checks of the objective (objective_cases), 1,270 odd-set inequalities (odd_set_checks, of which 280 are single-vertex sets that hold trivially), 177 cases of both stability estimates (stability_cases), three tied cases left out of the gap estimate, and no failures. Its source_sha256 is the SHA-256 of the published program. The file records no date.

Output of
The exact-arithmetic verification program (checks/verify_exact.py), shown beside it on that page
Written by
verify_exact.py, a program by GPT-6 Astra (OpenAI)
Size
421 bytes
SHA-256
de72eece45d1e097543bfed1d1adf0d867700b58b89b0c6c1a1c29a92f7a1af0

Tables

arithmeticPython fractions.Fraction, exact; real orthogonal subset only
seed20260929
dimensions[1, 7]
objective_cases210
odd_set_checks1270
stability_cases177
tied_matching_cases_excluded_from_gap_estimate3
max_unitary_entry_denominator_bits21
failures0
source_sha256d412fd187f926f4968e89d009ad2c91464ca7875561f0bb87c8f7711a30a1642

JSON

{
  "arithmetic": "Python fractions.Fraction, exact; real orthogonal subset only",
  "seed": 20260929,
  "dimensions": [
    1,
    7
  ],
  "objective_cases": 210,
  "odd_set_checks": 1270,
  "stability_cases": 177,
  "tied_matching_cases_excluded_from_gap_estimate": 3,
  "max_unitary_entry_denominator_bits": 21,
  "failures": 0,
  "source_sha256": "d412fd187f926f4968e89d009ad2c91464ca7875561f0bb87c8f7711a30a1642"
}