{ "rho": 0.8, "gap_lower_bound": 0.2737964150527131, "threshold": 9.869604401089358, "next_tree_gap": 5.551652475612764, "residue": [ [ 0.0, 0.0 ], [ 0.0, 2.0000000000000004 ] ], "path_gram": [ [ 2.0, -1.0 ], [ -1.0, 3.0 ] ], "k": 5, "lengths": [ 1.0, 1.0, 2.0 ], "exact_excess_expression": "4*(pi-atan(sqrt(5)))**2-pi**2", "exact_excess_decimal": 5.991986821852391, "numerical_finest_excess": 5.99344283639317 }