{ "arithmetic": "rational LDL^T; integer comparisons and exact integer-square-root branch bounds", "best_history": [ { "nodes": 0, "normalized_value": "601836/9686105", "polynomial": [ 1, 4, 9, 15, 21, 26, 29, 29, 26, 21, 15, 9, 4, 1 ] } ], "canonical_tie_count": 1, "canonical_ties": [ [ 1, 4, 9, 15, 21, 26, 29, 29, 26, 21, 15, 9, 4, 1 ] ], "decomposition_seconds": 0.03291560700017726, "degree_bound": 34, "elapsed_seconds": 0.21706785400238005, "improvements": 0, "initial_bound": "601836/9686105", "initial_candidate_kind": "Dirichlet product", "initial_dirichlet_lengths": [ 2, 3, 5, 7 ], "integral_over_2pi_display": 8.229595503857196, "lambda": "9/2", "leaves": 1, "node_limit": 10000000, "nodes": 37855, "normalized_best": "601836/9686105", "normalized_minimum": "601836/9686105", "normalized_objective": "integral / (2*pi*c0(lambda))", "polynomial": [ 1, 4, 9, 15, 21, 26, 29, 29, 26, 21, 15, 9, 4, 1 ], "polynomial_degree": 13, "python_version": "3.12.14", "real_relaxation_minimum": "5444517870735015415413993718908291383296/428567601477547452559417236746572203794875", "script_sha256": "586c569e25f769cd87db7bc558942e622576af6f764910f8616523abaed41885", "search_denominator_bits": 194, "status": "complete" }