{ "release": "ORYNTHRA-H6 v1.0.0", "seed": 20261009, "six_wing_subsets_checked": 64, "six_wing_source_dimension": 36, "maximum_proper_subset_rank": 6, "six_label_simplex": { "messages": 6, "permutations_checked": 720, "modes": 2, "coherent_cutoff": 4, "storage_cutoff": 2, "coherent_mean_photons": 3.3333333333333335, "storage_mean_photons": 1.3333333333333333, "simplex_angle_degrees": 101.53695903281549, "symbolic_gram_identity": true, "symbolic_simplex_identity": true, "max_gram_entry_error": 4.440892098500626e-16, "max_gate_operator_error": 3.969323289567251e-16, "max_number_commutator_operator_error": 3.034972788422345e-16, "max_unitarity_operator_error": 7.331673484992509e-16, "interpretation": "Exact algebraic identities plus floating-point checks; not hardware validation" }, "multiplicity_trap": { "logical_irrep_dimensions": [ 1, 1, 4, 4 ], "sector_dimensions": [ 1, 2, 3, 4 ], "total_dimension_test_passes": true, "largest_irrep_test_passes": true, "full_packing_exists": false, "maximum_matched_dimension": 6, "predicted_normalized_group_defect": 0.8, "measured_normalized_group_defect": 0.7999999999999994, "permutations_checked": 120, "number_commutator_error": 0.0, "minimal_exact_cutoff": 4 }, "one_mode_commutator": { "sizes_checked": [ 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 ], "maximum_deviation_from_sqrt3": 0.0, "equal_generator_operator_error_lower_bound": 0.4330127018922193 }, "S6_generator_gap": { "generators": "6-cycle, inverse 6-cycle, transposition (0 1)", "group_size": 720, "normalized_laplacian_gap": 0.055958538784548595, "largest_transition_eigenvalues": [ 0.9999999999999993, 0.9440414612154514, 0.9440414612154476, 0.9233562350360616 ], "below_threshold_generator_mean_defect_lower_bound": 0.09326423130758099, "numeric_not_formal_certificate": true }, "status": "All assertions in reproduce.py completed; see separate pytest report" }