{ "arithmetic": "rational LDL^T; integer comparisons and exact integer-square-root branch bounds", "best_history": [ { "nodes": 0, "normalized_value": "260100/664631", "polynomial": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 ] } ], "canonical_tie_count": 1, "canonical_ties": [ [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 ] ], "decomposition_seconds": 0.035403552999923704, "degree_bound": 34, "elapsed_seconds": 0.07020569299857016, "improvements": 0, "initial_bound": "260100/664631", "initial_candidate_kind": "Dirichlet product", "initial_dirichlet_lengths": [ 17, 18 ], "integral_over_2pi_display": 4.251954293932406, "lambda": "5/2", "leaves": 1, "node_limit": 10000000, "nodes": 6550, "normalized_best": "260100/664631", "normalized_minimum": "260100/664631", "normalized_objective": "integral / (2*pi*c0(lambda))", "polynomial": [ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 ], "polynomial_degree": 33, "python_version": "3.12.14", "real_relaxation_minimum": "5444517870735015415413993718908291383296/49954689679663878271884468653501275721677", "script_sha256": "586c569e25f769cd87db7bc558942e622576af6f764910f8616523abaed41885", "search_denominator_bits": 199, "status": "complete" }