{ "arithmetic": "rational LDL^T; integer comparisons and exact integer-square-root branch bounds", "best_history": [ { "nodes": 0, "normalized_value": "1225/1633", "polynomial": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] } ], "canonical_tie_count": 1, "canonical_ties": [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ], "decomposition_seconds": 0.03013103600096656, "degree_bound": 34, "elapsed_seconds": 0.03280243300105212, "improvements": 0, "initial_bound": "1225/1633", "initial_candidate_kind": "Dirichlet product", "initial_dirichlet_lengths": [ 35 ], "integral_over_2pi_display": 2.5469988851611736, "lambda": "3/2", "leaves": 1, "node_limit": 10000000, "nodes": 296, "normalized_best": "1225/1633", "normalized_minimum": "1225/1633", "normalized_objective": "integral / (2*pi*c0(lambda))", "polynomial": [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], "polynomial_degree": 34, "python_version": "3.12.14", "real_relaxation_minimum": "10889035741470030830827987437816582766592/34731117519826359353974846380413253246165", "script_sha256": "586c569e25f769cd87db7bc558942e622576af6f764910f8616523abaed41885", "search_denominator_bits": 190, "status": "complete" }