| { |
| "seed": 16102026, |
| "numerical_tolerance": 1e-07, |
| "groups": { |
| "one_frequency_physical_realization": { |
| "passed": true, |
| "cases": 120, |
| "max_error": 2.061184678958507e-13 |
| }, |
| "complex_tomography": { |
| "passed": true, |
| "cases": 240, |
| "max_error": 6.9715177555407e-14, |
| "setting_counts": [ |
| 4, |
| 9, |
| 16, |
| 25 |
| ] |
| }, |
| "reciprocal_tomography": { |
| "passed": true, |
| "cases": 240, |
| "max_error": 3.2695314095023566e-14, |
| "setting_counts": [ |
| 3, |
| 6, |
| 10, |
| 15 |
| ] |
| }, |
| "physical_short_design_ambiguities": { |
| "passed": true, |
| "cases": 9, |
| "max_error": 4.9508509587976365e-15 |
| }, |
| "canonical_and_flatness": { |
| "passed": true, |
| "cases": 425, |
| "max_error": 1.2116813367896757e-12 |
| }, |
| "extension_interface": { |
| "passed": true, |
| "cases": 125, |
| "max_error": 5.6568213462111505e-14, |
| "defect_identities": 225 |
| }, |
| "admissibility_and_input_rejections": { |
| "passed": true, |
| "cases": 4, |
| "max_error": 0.0 |
| }, |
| "node_independent_rank_profiles": { |
| "passed": true, |
| "cases": 3, |
| "max_error": 0.0, |
| "profiles": [ |
| [ |
| 3, |
| 6, |
| 7, |
| 7 |
| ], |
| [ |
| 3, |
| 6, |
| 7, |
| 7 |
| ], |
| [ |
| 3, |
| 6, |
| 7, |
| 7 |
| ] |
| ] |
| }, |
| "damped_rank_and_known_linewidth_repair": { |
| "passed": true, |
| "cases": 2, |
| "max_error": 0.0, |
| "smallest_unshifted_eigenvalue": 1.5129267065739995e-05 |
| }, |
| "dissipative_kernel_identity": { |
| "passed": true, |
| "cases": 50, |
| "max_error": 9.292499991001925e-15 |
| }, |
| "mixed_pole_phase_and_contrast": { |
| "passed": true, |
| "cases": 100, |
| "max_error": 8.005932084973442e-16 |
| }, |
| "rational_witness_and_mass_bounds": { |
| "passed": true, |
| "cases": 40, |
| "max_error": 4.422840674851928e-15 |
| }, |
| "joint_gauge_invariance": { |
| "passed": true, |
| "cases": 300, |
| "max_error": 0.0 |
| } |
| }, |
| "exact": { |
| "descriptor_identity": { |
| "passed": true, |
| "rank": 3, |
| "pivots": [ |
| 0, |
| 1, |
| 2 |
| ], |
| "gram": "Matrix([[6/5, 1, 16/25 - 13*I/25], [1, 11/10, 1/2 - I/2], [16/25 + 13*I/25, 1/2 + I/2, 3/5]])", |
| "shifted_gram": "Matrix([[-2/5, 0, -7/25 + I/25], [0, 3/10, 0], [-7/25 - I/25, 0, -1/5]])", |
| "data": "Matrix([[2/5 - 6*I/5, -I], [-I, -3/10 - 11*I/10], [4/5 - 3*I/5, 1/2 - I/2]])", |
| "identity": "D* (zG-J)^(-1) D = C* (zI-L)^(-1) C" |
| }, |
| "one_sample_distinct_visible_dimensions": { |
| "passed": true, |
| "functions": [ |
| "1/z", |
| "2*z/(z**2-1)" |
| ], |
| "common_value_at_i": "-I" |
| }, |
| "unbounded_extension_family": { |
| "passed": true, |
| "added_dimensions_tested": [ |
| 1, |
| 2, |
| 3, |
| 4 |
| ], |
| "all_visible": true |
| }, |
| "flat_two_sample_certificate": { |
| "passed": true, |
| "K": "Matrix([[1, 1/2], [1/2, 1/4]])", |
| "ranks": [ |
| 1, |
| 1 |
| ] |
| }, |
| "range_condition_counterexample": { |
| "passed": true, |
| "Pick": "0", |
| "data": "1" |
| }, |
| "two_channel_cross_pole_invariant": { |
| "passed": true, |
| "value": "-I", |
| "residue_ranks": [ |
| 1, |
| 1 |
| ] |
| }, |
| "damped_kernel_ranks": { |
| "passed": true, |
| "internal_damped_order": 1, |
| "ranks": [ |
| 1, |
| 2, |
| 3, |
| 4, |
| 5, |
| 6 |
| ] |
| }, |
| "MDS_all_maximal_minors": { |
| "passed": true, |
| "minors": 15, |
| "distance": 3 |
| }, |
| "rational_annihilator_identity": { |
| "passed": true, |
| "weights": [ |
| "-1", |
| "I*(2 - I)", |
| "1 - 2*I" |
| ] |
| } |
| }, |
| "elapsed_seconds": 3.6427738666534424, |
| "summary": { |
| "numerical_groups": 13, |
| "numerical_cases": 1658, |
| "exact_groups": 9, |
| "all_passed": true, |
| "formal_proof_assistant": "not available; symbolic checks are not formalized proofs" |
| } |
| } |
