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"arithmetic": "fractions.Fraction",
"status": "PASS",
"complex_words": 400,
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"sharp_inverse_margin_examples": 96,
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"orthonormal_atlas_and_deficient_atlas_dimensions": 7,
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"relational_matrix_completion_cases": 192,
"nonlinear_phase_loss_counterexamples": 1,
"quantitative_blind_region_cases": 192,
"synthetic_haar_rays": 84000,
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"errors_512_1024": [
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],
"scope": "Finite and synthetic checks support explicit constructions; proofs establish universal bounds. No empirical science or proof-assistant certification is claimed."
},
"continuous_factorization_extension": {
"status": "PASS",
"seed": 30001004,
"exact_monomial_subspaces": 494,
"exact_monomial_jet_determinants": 6124,
"exact_integer_polynomial_subspaces": 64,
"repair_cases": 224,
"reference_cases": 224,
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"inside_radius_cases": 224,
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"coordinate_atlas_cases": 224,
"transport_cycles": 224,
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"exact_holonomy_commutator_norm": "162/3481",
"topological_scope": "finite checks do not prove the global lower bounds"
},
"scope": "finite checks support the analytic proofs; topology is not proved by sampling"
}
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