{ "accepted_candidate_ids": [ "poschl-teller:N12:c0.7:j2", "poschl-teller:N12:c1.0:j2", "poschl-teller:N12:c1.4:j2", "poschl-teller:N20:c0.7:j2", "poschl-teller:N20:c1.0:j3", "poschl-teller:N20:c1.4:j2", "poschl-teller:N24:c0.7:j2", "poschl-teller:N24:c1.0:j2", "poschl-teller:N24:c1.4:j2", "poschl-teller:N28:c0.7:j1", "poschl-teller:N28:c1.0:j3", "poschl-teller:N28:c1.4:j2", "poschl-teller:N32:c0.7:j2", "poschl-teller:N32:c1.0:j2", "poschl-teller:N32:c1.4:j1", "poschl-teller:N36:c0.7:j2", "poschl-teller:N36:c1.0:j2", "poschl-teller:N36:c1.4:j3", "poschl-teller:N40:c0.7:j2", "poschl-teller:N40:c1.0:j2", "poschl-teller:N40:c1.4:j2", "poschl-teller:N44:c0.7:j2", "poschl-teller:N44:c1.0:j1", "poschl-teller:N44:c1.4:j2", "schwarzschild:N20:c0.7:j7", "schwarzschild:N20:c1.0:j7", "schwarzschild:N24:c0.7:j8", "schwarzschild:N24:c1.0:j8", "schwarzschild:N24:c1.4:j6", "schwarzschild:N28:c0.7:j8", "schwarzschild:N28:c1.0:j8", "schwarzschild:N28:c1.4:j7", "schwarzschild:N32:c0.7:j10", "schwarzschild:N32:c1.0:j7", "schwarzschild:N32:c1.4:j7", "schwarzschild:N36:c0.7:j9", "schwarzschild:N36:c1.0:j8", "schwarzschild:N36:c1.4:j7", "schwarzschild:N40:c0.7:j11", "schwarzschild:N40:c1.0:j12", "schwarzschild:N40:c1.4:j9", "schwarzschild:N44:c0.7:j12", "schwarzschild:N44:c1.0:j11", "schwarzschild:N44:c1.4:j9", "kerr-radial:N20:c0.7:j5", "kerr-radial:N20:c1.0:j5", "kerr-radial:N24:c0.7:j6", "kerr-radial:N24:c1.0:j5", "kerr-radial:N24:c1.4:j5", "kerr-radial:N28:c0.7:j8", "kerr-radial:N28:c1.0:j6", "kerr-radial:N28:c1.4:j5", "kerr-radial:N32:c0.7:j8", "kerr-radial:N32:c1.0:j7", "kerr-radial:N32:c1.4:j6", "kerr-radial:N36:c0.7:j8", "kerr-radial:N36:c1.0:j9", "kerr-radial:N36:c1.4:j7", "kerr-radial:N40:c0.7:j9", "kerr-radial:N40:c1.0:j9", "kerr-radial:N40:c1.4:j8", "kerr-radial:N44:c0.7:j9", "kerr-radial:N44:c1.0:j10", "kerr-radial:N44:c1.4:j8" ], "branches": [ { "branch_id": "branch-0000", "branch_unique": true, "members": [ "kerr-radial:N12:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0001", "branch_unique": true, "members": [ "kerr-radial:N12:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0002", "branch_unique": true, "members": [ "kerr-radial:N12:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0003", "branch_unique": true, "members": [ "kerr-radial:N12:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0004", "branch_unique": true, "members": [ "kerr-radial:N12:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0005", "branch_unique": true, "members": [ "kerr-radial:N12:c0.7:j5", "kerr-radial:N12:c1.0:j4", "kerr-radial:N20:c0.7:j5", "kerr-radial:N20:c1.0:j5", "kerr-radial:N20:c1.4:j4", "kerr-radial:N24:c0.7:j6", "kerr-radial:N24:c1.0:j5", "kerr-radial:N24:c1.4:j5", "kerr-radial:N28:c0.7:j8", "kerr-radial:N28:c1.0:j6", "kerr-radial:N28:c1.4:j5", "kerr-radial:N32:c0.7:j8", "kerr-radial:N32:c1.0:j7", "kerr-radial:N32:c1.4:j6", "kerr-radial:N36:c0.7:j8", "kerr-radial:N36:c1.0:j9", "kerr-radial:N36:c1.4:j7", "kerr-radial:N40:c0.7:j9", "kerr-radial:N40:c1.0:j9", "kerr-radial:N40:c1.4:j8", "kerr-radial:N44:c0.7:j9", "kerr-radial:N44:c1.0:j10", "kerr-radial:N44:c1.4:j8" ], "reference_label": "kerr-radial:fundamental-reference" }, { "branch_id": "branch-0006", "branch_unique": true, "members": [ "kerr-radial:N12:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0007", "branch_unique": true, "members": [ "kerr-radial:N12:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0008", "branch_unique": true, "members": [ "kerr-radial:N12:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0009", "branch_unique": true, "members": [ "kerr-radial:N12:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0010", "branch_unique": true, "members": [ "kerr-radial:N12:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0011", "branch_unique": true, "members": [ "kerr-radial:N12:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0012", "branch_unique": true, "members": [ "kerr-radial:N12:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0013", "branch_unique": true, "members": [ "kerr-radial:N12:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0014", "branch_unique": true, "members": [ "kerr-radial:N12:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0015", "branch_unique": true, "members": [ "kerr-radial:N20:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0016", "branch_unique": true, "members": [ "kerr-radial:N20:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0017", "branch_unique": true, "members": [ "kerr-radial:N20:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0018", "branch_unique": true, "members": [ "kerr-radial:N20:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0019", "branch_unique": true, "members": [ "kerr-radial:N20:c0.7:j4", "kerr-radial:N20:c1.0:j4", "kerr-radial:N24:c0.7:j5", "kerr-radial:N24:c1.0:j4", "kerr-radial:N24:c1.4:j4", "kerr-radial:N28:c0.7:j7", "kerr-radial:N28:c1.0:j5", "kerr-radial:N28:c1.4:j4", "kerr-radial:N32:c0.7:j7", "kerr-radial:N32:c1.0:j6", "kerr-radial:N32:c1.4:j5", "kerr-radial:N36:c0.7:j7", "kerr-radial:N36:c1.0:j8", "kerr-radial:N36:c1.4:j6", "kerr-radial:N40:c1.4:j7", "kerr-radial:N44:c1.4:j7" ], "reference_label": null }, { "branch_id": "branch-0020", "branch_unique": true, "members": [ "kerr-radial:N20:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0021", "branch_unique": true, "members": [ "kerr-radial:N20:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0022", "branch_unique": true, "members": [ "kerr-radial:N20:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0023", "branch_unique": true, "members": [ "kerr-radial:N20:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0024", "branch_unique": true, "members": [ "kerr-radial:N20:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0025", "branch_unique": true, "members": [ "kerr-radial:N20:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0026", "branch_unique": true, "members": [ "kerr-radial:N20:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0027", "branch_unique": true, "members": [ "kerr-radial:N20:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0028", "branch_unique": true, "members": [ "kerr-radial:N24:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0029", "branch_unique": true, "members": [ "kerr-radial:N24:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0030", "branch_unique": true, "members": [ "kerr-radial:N24:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0031", "branch_unique": true, "members": [ "kerr-radial:N24:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0032", "branch_unique": true, "members": [ "kerr-radial:N24:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0033", "branch_unique": true, "members": [ "kerr-radial:N24:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0034", "branch_unique": true, "members": [ "kerr-radial:N24:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0035", "branch_unique": true, "members": [ "kerr-radial:N24:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0036", "branch_unique": true, "members": [ "kerr-radial:N24:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0037", "branch_unique": true, "members": [ "kerr-radial:N24:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0038", "branch_unique": true, "members": [ "kerr-radial:N24:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0039", "branch_unique": true, "members": [ "kerr-radial:N24:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0040", "branch_unique": true, "members": [ "kerr-radial:N24:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0041", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0042", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0043", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0044", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0045", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0046", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0047", "branch_unique": true, "members": [ "kerr-radial:N28:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0048", "branch_unique": true, "members": [ "kerr-radial:N28:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0049", "branch_unique": true, "members": [ "kerr-radial:N28:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0050", "branch_unique": true, "members": [ "kerr-radial:N28:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0051", "branch_unique": true, "members": [ "kerr-radial:N28:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0052", "branch_unique": true, "members": [ "kerr-radial:N28:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0053", "branch_unique": true, "members": [ "kerr-radial:N28:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0054", "branch_unique": true, "members": [ "kerr-radial:N28:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0055", "branch_unique": true, "members": [ "kerr-radial:N28:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0056", "branch_unique": true, "members": [ "kerr-radial:N28:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0057", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0058", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0059", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0060", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0061", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0062", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0063", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0064", "branch_unique": true, "members": [ "kerr-radial:N32:c0.7:j9" ], "reference_label": null }, { "branch_id": "branch-0065", "branch_unique": true, "members": [ "kerr-radial:N32:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0066", "branch_unique": true, "members": [ "kerr-radial:N32:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0067", "branch_unique": true, "members": [ "kerr-radial:N32:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0068", "branch_unique": true, "members": [ "kerr-radial:N32:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0069", "branch_unique": true, "members": [ "kerr-radial:N32:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0070", "branch_unique": true, "members": [ "kerr-radial:N32:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0071", "branch_unique": true, "members": [ "kerr-radial:N32:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0072", "branch_unique": true, "members": [ "kerr-radial:N32:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0073", "branch_unique": true, "members": [ "kerr-radial:N32:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0074", "branch_unique": true, "members": [ "kerr-radial:N32:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0075", "branch_unique": true, "members": [ "kerr-radial:N32:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0076", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0077", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0078", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0079", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0080", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0081", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0082", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0083", "branch_unique": true, "members": [ "kerr-radial:N36:c0.7:j9" ], "reference_label": null }, { "branch_id": "branch-0084", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0085", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0086", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j10" ], "reference_label": null }, { "branch_id": "branch-0087", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0088", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0089", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0090", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0091", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0092", "branch_unique": true, "members": [ "kerr-radial:N36:c1.0:j7" ], "reference_label": null }, { "branch_id": "branch-0093", "branch_unique": true, "members": [ "kerr-radial:N36:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0094", "branch_unique": true, "members": [ "kerr-radial:N36:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0095", "branch_unique": true, "members": [ "kerr-radial:N36:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0096", "branch_unique": true, "members": [ "kerr-radial:N36:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0097", "branch_unique": true, "members": [ "kerr-radial:N36:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0098", "branch_unique": true, "members": [ "kerr-radial:N36:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0099", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0100", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0101", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j10" ], "reference_label": null }, { "branch_id": "branch-0102", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j11" ], "reference_label": null }, { "branch_id": "branch-0103", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j12" ], "reference_label": null }, { "branch_id": "branch-0104", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0105", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0106", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0107", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0108", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0109", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j7" ], "reference_label": null }, { "branch_id": "branch-0110", "branch_unique": true, "members": [ "kerr-radial:N40:c0.7:j8" ], "reference_label": null }, { "branch_id": "branch-0111", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0112", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0113", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j10" ], "reference_label": null }, { "branch_id": "branch-0114", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0115", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0116", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0117", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0118", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0119", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j7" ], "reference_label": null }, { "branch_id": "branch-0120", "branch_unique": true, "members": [ "kerr-radial:N40:c1.0:j8" ], "reference_label": null }, { "branch_id": "branch-0121", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0122", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0123", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0124", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0125", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0126", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0127", "branch_unique": true, "members": [ "kerr-radial:N40:c1.4:j6" ], "reference_label": null }, { "branch_id": "branch-0128", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0129", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0130", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j10" ], "reference_label": null }, { "branch_id": "branch-0131", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j11" ], "reference_label": null }, { "branch_id": "branch-0132", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j12" ], "reference_label": null }, { "branch_id": "branch-0133", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j13" ], "reference_label": null }, { "branch_id": "branch-0134", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0135", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0136", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0137", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0138", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0139", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j7" ], "reference_label": null }, { "branch_id": "branch-0140", "branch_unique": true, "members": [ "kerr-radial:N44:c0.7:j8" ], "reference_label": null }, { "branch_id": "branch-0141", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0142", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0143", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j11" ], "reference_label": null }, { "branch_id": "branch-0144", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j12" ], "reference_label": null }, { "branch_id": "branch-0145", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0146", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0147", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0148", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0149", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0150", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j7" ], "reference_label": null }, { "branch_id": "branch-0151", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j8" ], "reference_label": null }, { "branch_id": "branch-0152", "branch_unique": true, "members": [ "kerr-radial:N44:c1.0:j9" ], "reference_label": null }, { "branch_id": "branch-0153", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0154", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0155", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0156", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0157", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0158", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0159", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j6" ], "reference_label": null }, { "branch_id": "branch-0160", "branch_unique": true, "members": [ "kerr-radial:N44:c1.4:j9" ], "reference_label": null }, { "branch_id": "branch-0161", "branch_unique": true, "members": [ "poschl-teller:N12:c0.7:j0", "poschl-teller:N12:c1.0:j3", "poschl-teller:N12:c1.4:j0", "poschl-teller:N20:c0.7:j3", "poschl-teller:N20:c1.0:j0", "poschl-teller:N20:c1.4:j0", "poschl-teller:N24:c0.7:j0", "poschl-teller:N24:c1.0:j3", "poschl-teller:N24:c1.4:j1", "poschl-teller:N28:c0.7:j3", "poschl-teller:N28:c1.0:j0", "poschl-teller:N28:c1.4:j0", "poschl-teller:N32:c0.7:j0", "poschl-teller:N32:c1.0:j3", "poschl-teller:N32:c1.4:j3", "poschl-teller:N36:c0.7:j3", "poschl-teller:N36:c1.0:j0", "poschl-teller:N36:c1.4:j1", "poschl-teller:N40:c0.7:j3", "poschl-teller:N40:c1.0:j1", "poschl-teller:N40:c1.4:j3", "poschl-teller:N44:c0.7:j1", "poschl-teller:N44:c1.0:j4", "poschl-teller:N44:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0162", "branch_unique": true, "members": [ "poschl-teller:N12:c0.7:j1", "poschl-teller:N12:c1.0:j0", "poschl-teller:N12:c1.4:j1", "poschl-teller:N20:c0.7:j0", "poschl-teller:N20:c1.0:j1", "poschl-teller:N20:c1.4:j1", "poschl-teller:N24:c0.7:j1", "poschl-teller:N24:c1.0:j0", "poschl-teller:N24:c1.4:j4", "poschl-teller:N28:c0.7:j2", "poschl-teller:N28:c1.0:j2", "poschl-teller:N28:c1.4:j1", "poschl-teller:N32:c0.7:j1", "poschl-teller:N32:c1.0:j0", "poschl-teller:N32:c1.4:j4", "poschl-teller:N36:c0.7:j0", "poschl-teller:N36:c1.0:j1", "poschl-teller:N36:c1.4:j2", "poschl-teller:N40:c0.7:j0", "poschl-teller:N40:c1.0:j4", "poschl-teller:N40:c1.4:j0", "poschl-teller:N44:c0.7:j4", "poschl-teller:N44:c1.0:j3", "poschl-teller:N44:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0163", "branch_unique": true, "members": [ "poschl-teller:N12:c0.7:j2", "poschl-teller:N12:c1.0:j2", "poschl-teller:N12:c1.4:j2", "poschl-teller:N20:c0.7:j2", "poschl-teller:N20:c1.0:j3", "poschl-teller:N20:c1.4:j2", "poschl-teller:N24:c0.7:j2", "poschl-teller:N24:c1.0:j2", "poschl-teller:N24:c1.4:j2", "poschl-teller:N28:c0.7:j1", "poschl-teller:N28:c1.0:j3", "poschl-teller:N28:c1.4:j2", "poschl-teller:N32:c0.7:j2", "poschl-teller:N32:c1.0:j2", "poschl-teller:N32:c1.4:j1", "poschl-teller:N36:c0.7:j2", "poschl-teller:N36:c1.0:j2", "poschl-teller:N36:c1.4:j3", "poschl-teller:N40:c0.7:j2", "poschl-teller:N40:c1.0:j2", "poschl-teller:N40:c1.4:j2", "poschl-teller:N44:c0.7:j2", "poschl-teller:N44:c1.0:j1", "poschl-teller:N44:c1.4:j2" ], "reference_label": "poschl-teller:fundamental-reference" }, { "branch_id": "branch-0164", "branch_unique": true, "members": [ "poschl-teller:N12:c0.7:j3", "poschl-teller:N12:c1.0:j1", "poschl-teller:N12:c1.4:j3", "poschl-teller:N20:c0.7:j1", "poschl-teller:N20:c1.0:j2", "poschl-teller:N20:c1.4:j3", "poschl-teller:N24:c0.7:j3", "poschl-teller:N24:c1.0:j1", "poschl-teller:N24:c1.4:j3", "poschl-teller:N28:c0.7:j0", "poschl-teller:N28:c1.0:j4", "poschl-teller:N28:c1.4:j3", "poschl-teller:N32:c0.7:j3", "poschl-teller:N32:c1.0:j1", "poschl-teller:N32:c1.4:j2", "poschl-teller:N36:c0.7:j1", "poschl-teller:N36:c1.0:j3", "poschl-teller:N36:c1.4:j4", "poschl-teller:N40:c0.7:j1", "poschl-teller:N40:c1.0:j3", "poschl-teller:N40:c1.4:j1", "poschl-teller:N44:c0.7:j3", "poschl-teller:N44:c1.0:j2", "poschl-teller:N44:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0165", "branch_unique": true, "members": [ "poschl-teller:N12:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0166", "branch_unique": true, "members": [ "poschl-teller:N12:c1.0:j4", "poschl-teller:N20:c0.7:j4", "poschl-teller:N20:c1.0:j4", "poschl-teller:N20:c1.4:j4", "poschl-teller:N24:c0.7:j4", "poschl-teller:N24:c1.0:j4", "poschl-teller:N24:c1.4:j0", "poschl-teller:N28:c0.7:j4", "poschl-teller:N28:c1.0:j1", "poschl-teller:N28:c1.4:j4", "poschl-teller:N32:c0.7:j4", "poschl-teller:N32:c1.0:j4", "poschl-teller:N32:c1.4:j0", "poschl-teller:N36:c0.7:j4", "poschl-teller:N36:c1.0:j4", "poschl-teller:N36:c1.4:j0", "poschl-teller:N40:c0.7:j4", "poschl-teller:N40:c1.0:j0", "poschl-teller:N40:c1.4:j4", "poschl-teller:N44:c0.7:j0", "poschl-teller:N44:c1.0:j0", "poschl-teller:N44:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0167", "branch_unique": true, "members": [ "poschl-teller:N12:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0168", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0169", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0170", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0171", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0172", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0173", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0174", "branch_unique": true, "members": [ "schwarzschild:N12:c0.7:j6", "schwarzschild:N12:c1.0:j6", "schwarzschild:N20:c0.7:j7", "schwarzschild:N20:c1.0:j7", "schwarzschild:N20:c1.4:j6", "schwarzschild:N24:c0.7:j8", "schwarzschild:N24:c1.0:j8", "schwarzschild:N24:c1.4:j6", "schwarzschild:N28:c0.7:j8", "schwarzschild:N28:c1.0:j8", "schwarzschild:N28:c1.4:j7", "schwarzschild:N32:c0.7:j10", "schwarzschild:N32:c1.0:j7", "schwarzschild:N32:c1.4:j7", "schwarzschild:N36:c0.7:j9", "schwarzschild:N36:c1.0:j8", "schwarzschild:N36:c1.4:j7", "schwarzschild:N40:c0.7:j11", "schwarzschild:N40:c1.0:j12", "schwarzschild:N40:c1.4:j9", "schwarzschild:N44:c0.7:j12", "schwarzschild:N44:c1.0:j11", "schwarzschild:N44:c1.4:j9" ], "reference_label": "schwarzschild:fundamental-reference" }, { "branch_id": "branch-0175", "branch_unique": true, "members": [ "schwarzschild:N12:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0176", "branch_unique": true, "members": [ "schwarzschild:N12:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0177", "branch_unique": true, "members": [ "schwarzschild:N12:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0178", "branch_unique": true, "members": [ "schwarzschild:N12:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0179", "branch_unique": true, "members": [ "schwarzschild:N12:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0180", "branch_unique": true, "members": [ "schwarzschild:N12:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0181", "branch_unique": true, "members": [ "schwarzschild:N12:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0182", "branch_unique": true, "members": [ "schwarzschild:N12:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0183", "branch_unique": true, "members": [ "schwarzschild:N12:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0184", "branch_unique": true, "members": [ "schwarzschild:N12:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0185", "branch_unique": true, "members": [ "schwarzschild:N12:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0186", "branch_unique": true, "members": [ "schwarzschild:N12:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0187", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0188", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0189", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0190", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0191", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0192", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0193", "branch_unique": true, "members": [ "schwarzschild:N20:c0.7:j6", "schwarzschild:N20:c1.0:j6", "schwarzschild:N24:c0.7:j7", "schwarzschild:N24:c1.0:j7", "schwarzschild:N24:c1.4:j5", "schwarzschild:N28:c0.7:j7", "schwarzschild:N28:c1.0:j7", "schwarzschild:N28:c1.4:j6", "schwarzschild:N32:c0.7:j9", "schwarzschild:N32:c1.0:j6", "schwarzschild:N32:c1.4:j6", "schwarzschild:N36:c0.7:j8", "schwarzschild:N36:c1.0:j7", "schwarzschild:N36:c1.4:j6", "schwarzschild:N40:c0.7:j10", "schwarzschild:N40:c1.0:j11", "schwarzschild:N40:c1.4:j8", "schwarzschild:N44:c0.7:j11", "schwarzschild:N44:c1.0:j10", "schwarzschild:N44:c1.4:j8" ], "reference_label": null }, { "branch_id": "branch-0194", "branch_unique": true, "members": [ "schwarzschild:N20:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0195", "branch_unique": true, "members": [ "schwarzschild:N20:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0196", "branch_unique": true, "members": [ "schwarzschild:N20:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0197", "branch_unique": true, "members": [ "schwarzschild:N20:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0198", "branch_unique": true, "members": [ "schwarzschild:N20:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0199", "branch_unique": true, "members": [ "schwarzschild:N20:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0200", "branch_unique": true, "members": [ "schwarzschild:N20:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0201", "branch_unique": true, "members": [ "schwarzschild:N20:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0202", "branch_unique": true, "members": [ "schwarzschild:N20:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0203", "branch_unique": true, "members": [ "schwarzschild:N20:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0204", "branch_unique": true, "members": [ "schwarzschild:N20:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0205", "branch_unique": true, "members": [ "schwarzschild:N20:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0206", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0207", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0208", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0209", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0210", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0211", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0212", "branch_unique": true, "members": [ "schwarzschild:N24:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0213", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0214", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0215", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0216", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0217", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0218", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0219", "branch_unique": true, "members": [ "schwarzschild:N24:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0220", "branch_unique": true, "members": [ "schwarzschild:N24:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0221", "branch_unique": true, "members": [ "schwarzschild:N24:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0222", "branch_unique": true, "members": [ "schwarzschild:N24:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0223", "branch_unique": true, "members": [ "schwarzschild:N24:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0224", "branch_unique": true, "members": [ "schwarzschild:N24:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0225", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0226", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0227", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0228", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0229", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0230", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0231", "branch_unique": true, "members": [ "schwarzschild:N28:c0.7:j6", "schwarzschild:N32:c0.7:j8", "schwarzschild:N32:c1.0:j5", "schwarzschild:N36:c0.7:j7", "schwarzschild:N36:c1.0:j6", "schwarzschild:N40:c0.7:j9", "schwarzschild:N40:c1.0:j10", "schwarzschild:N40:c1.4:j7", "schwarzschild:N44:c0.7:j10", "schwarzschild:N44:c1.0:j9", "schwarzschild:N44:c1.4:j7" ], "reference_label": null }, { "branch_id": "branch-0232", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0233", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0234", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0235", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0236", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0237", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0238", "branch_unique": true, "members": [ "schwarzschild:N28:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0239", "branch_unique": true, "members": [ "schwarzschild:N28:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0240", "branch_unique": true, "members": [ "schwarzschild:N28:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0241", "branch_unique": true, "members": [ "schwarzschild:N28:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0242", "branch_unique": true, "members": [ "schwarzschild:N28:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0243", "branch_unique": true, "members": [ "schwarzschild:N28:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0244", "branch_unique": true, "members": [ "schwarzschild:N28:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0245", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0246", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0247", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0248", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0249", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0250", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0251", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0252", "branch_unique": true, "members": [ "schwarzschild:N32:c0.7:j7" ], "reference_label": null }, { "branch_id": "branch-0253", "branch_unique": true, "members": [ "schwarzschild:N32:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0254", "branch_unique": true, "members": [ "schwarzschild:N32:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0255", "branch_unique": true, "members": [ "schwarzschild:N32:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0256", "branch_unique": true, "members": [ "schwarzschild:N32:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0257", "branch_unique": true, "members": [ "schwarzschild:N32:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0258", "branch_unique": true, "members": [ "schwarzschild:N32:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0259", "branch_unique": true, "members": [ "schwarzschild:N32:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0260", "branch_unique": true, "members": [ "schwarzschild:N32:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0261", "branch_unique": true, "members": [ "schwarzschild:N32:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0262", "branch_unique": true, "members": [ "schwarzschild:N32:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0263", "branch_unique": true, "members": [ "schwarzschild:N32:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0264", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0265", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0266", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0267", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0268", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0269", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0270", "branch_unique": true, "members": [ "schwarzschild:N36:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0271", "branch_unique": true, "members": [ "schwarzschild:N36:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0272", "branch_unique": true, "members": [ "schwarzschild:N36:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0273", "branch_unique": true, "members": [ "schwarzschild:N36:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0274", "branch_unique": true, "members": [ "schwarzschild:N36:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0275", "branch_unique": true, "members": [ "schwarzschild:N36:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0276", "branch_unique": true, "members": [ "schwarzschild:N36:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0277", "branch_unique": true, "members": [ "schwarzschild:N36:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0278", "branch_unique": true, "members": [ "schwarzschild:N36:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0279", "branch_unique": true, "members": [ "schwarzschild:N36:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0280", "branch_unique": true, "members": [ "schwarzschild:N36:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0281", "branch_unique": true, "members": [ "schwarzschild:N36:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0282", "branch_unique": true, "members": [ "schwarzschild:N36:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0283", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0284", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0285", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0286", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0287", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0288", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0289", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0290", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j7" ], "reference_label": null }, { "branch_id": "branch-0291", "branch_unique": true, "members": [ "schwarzschild:N40:c0.7:j8" ], "reference_label": null }, { "branch_id": "branch-0292", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0293", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0294", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0295", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0296", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0297", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0298", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0299", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j7" ], "reference_label": null }, { "branch_id": "branch-0300", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j8" ], "reference_label": null }, { "branch_id": "branch-0301", "branch_unique": true, "members": [ "schwarzschild:N40:c1.0:j9" ], "reference_label": null }, { "branch_id": "branch-0302", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0303", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0304", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0305", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0306", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0307", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0308", "branch_unique": true, "members": [ "schwarzschild:N40:c1.4:j6" ], "reference_label": null }, { "branch_id": "branch-0309", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j0" ], "reference_label": null }, { "branch_id": "branch-0310", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j1" ], "reference_label": null }, { "branch_id": "branch-0311", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j2" ], "reference_label": null }, { "branch_id": "branch-0312", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j3" ], "reference_label": null }, { "branch_id": "branch-0313", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j4" ], "reference_label": null }, { "branch_id": "branch-0314", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j5" ], "reference_label": null }, { "branch_id": "branch-0315", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j6" ], "reference_label": null }, { "branch_id": "branch-0316", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j7" ], "reference_label": null }, { "branch_id": "branch-0317", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j8" ], "reference_label": null }, { "branch_id": "branch-0318", "branch_unique": true, "members": [ "schwarzschild:N44:c0.7:j9" ], "reference_label": null }, { "branch_id": "branch-0319", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j0" ], "reference_label": null }, { "branch_id": "branch-0320", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j1" ], "reference_label": null }, { "branch_id": "branch-0321", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j2" ], "reference_label": null }, { "branch_id": "branch-0322", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j3" ], "reference_label": null }, { "branch_id": "branch-0323", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j4" ], "reference_label": null }, { "branch_id": "branch-0324", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j5" ], "reference_label": null }, { "branch_id": "branch-0325", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j6" ], "reference_label": null }, { "branch_id": "branch-0326", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j7" ], "reference_label": null }, { "branch_id": "branch-0327", "branch_unique": true, "members": [ "schwarzschild:N44:c1.0:j8" ], "reference_label": null }, { "branch_id": "branch-0328", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j0" ], "reference_label": null }, { "branch_id": "branch-0329", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j1" ], "reference_label": null }, { "branch_id": "branch-0330", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j2" ], "reference_label": null }, { "branch_id": "branch-0331", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j3" ], "reference_label": null }, { "branch_id": "branch-0332", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j4" ], "reference_label": null }, { "branch_id": "branch-0333", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j5" ], "reference_label": null }, { "branch_id": "branch-0334", "branch_unique": true, "members": [ "schwarzschild:N44:c1.4:j6" ], "reference_label": null } ], "candidates": [ { "N": 12, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N12:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 3.9248296508256605e-06, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.0640184007192185e-16, "infinity_row_residual": 1.006421055570744e-15, "ingoing_phase_residual": 1.7960528680274057e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.2595358917243402e-10, "matching_checks": [ { "best_distance": 1.1027174298769983e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 9.519507404576188e-11, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j3", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1027174298769983e-06, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j0", "reverse_second_best_gap": 0.19999890236296883, "reverse_second_distance": 0.2000000050803987, "reverse_unambiguous": true, "second_best_gap": 0.1999978937570817, "second_distance": 0.19999899647451158, "unambiguous": true }, { "best_distance": 1.102752118618358e-06, "edge_kind": "map", "eigenfunction_mismatch": 9.519884880404561e-11, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j3", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.102752118618358e-06, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j0", "reverse_second_best_gap": 0.19999890228881476, "reverse_second_distance": 0.20000000504093338, "reverse_unambiguous": true, "second_best_gap": 0.19999789445367813, "second_distance": 0.19999899720579675, "unambiguous": true }, { "best_distance": 5.349370085529788e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.2595358917243402e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j0", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.349370085529788e-07, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j0", "reverse_second_best_gap": 0.1999999566565959, "reverse_second_distance": 0.20000049159360445, "reverse_unambiguous": true, "second_best_gap": 0.20000047062119639, "second_distance": 0.20000100555820494, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.102752118618358e-06, "max_resolution_difference": 1.1027174298769983e-06, "omega_imag": -0.7000010027956252, "omega_real": 0.9949869783457369, "outgoing_phase_residual": 1.7960528670303936e-07, "pencil_residual": 4.214517539550986e-16, "reference_difference": 0.6000010027958005, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.519507404576188e-11, "transformed_residual": 1.6732654382100754e-09, "unfactored_residual": 2.3918033170563833e-09 }, { "N": 12, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N12:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 3.2491339519531653e-07, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.118464073639133e-16, "infinity_row_residual": 5.2243106394837865e-15, "ingoing_phase_residual": 1.9245008849445282e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.4432899320127035e-15, "matching_checks": [ { "best_distance": 9.186963889760784e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 5.551115123125783e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j0", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.186963889760784e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j1", "reverse_second_best_gap": 0.19999999081622535, "reverse_second_distance": 0.20000000000318924, "reverse_unambiguous": true, "second_best_gap": 0.19999998577147537, "second_distance": 0.19999999495843926, "unambiguous": true }, { "best_distance": 9.191632569768816e-09, "edge_kind": "map", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j0", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.191632569768816e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j1", "reverse_second_best_gap": 0.1999999908111445, "reverse_second_distance": 0.20000000000277707, "reverse_unambiguous": true, "second_best_gap": 0.1999999857666522, "second_distance": 0.19999999495828477, "unambiguous": true }, { "best_distance": 4.4590288976476924e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j1", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.4590288976476924e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j1", "reverse_second_best_gap": 0.19999999278174688, "reverse_second_distance": 0.19999999724077577, "reverse_unambiguous": true, "second_best_gap": 0.19999999050025757, "second_distance": 0.19999999495928647, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.191632569768816e-09, "max_resolution_difference": 9.186963889760784e-09, "omega_imag": -0.49999999495828923, "omega_real": 0.9949874294209823, "outgoing_phase_residual": 1.924500885686992e-07, "pencil_residual": 6.730155873214564e-16, "reference_difference": 0.39999999495828925, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.551115123125783e-16, "transformed_residual": 7.546477271645211e-11, "unfactored_residual": 1.1116495092703625e-10 }, { "N": 12, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N12:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 8.264902815105457e-16, "failure_reasons": [], "horizon_row_residual": 5.560762350741875e-15, "infinity_row_residual": 4.7126856656245784e-14, "ingoing_phase_residual": 1.9999999995374e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.5286545481446996e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j2", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5286545481446996e-14, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j2", "reverse_second_best_gap": 0.19999999999714516, "reverse_second_distance": 0.19999999999716045, "reverse_unambiguous": true, "second_best_gap": 0.19999999999983584, "second_distance": 0.19999999999985113, "unambiguous": true }, { "best_distance": 9.876656908246509e-16, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j2", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.876656908246509e-16, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j2", "reverse_second_best_gap": 0.19999999999716092, "reverse_second_distance": 0.19999999999716192, "reverse_unambiguous": true, "second_best_gap": 0.20000000000000462, "second_distance": 0.20000000000000562, "unambiguous": true }, { "best_distance": 1.117140368961273e-15, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j2", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.117140368961273e-15, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j2", "reverse_second_best_gap": 0.19999999999716223, "reverse_second_distance": 0.19999999999716334, "reverse_unambiguous": true, "second_best_gap": 0.1999999999990028, "second_distance": 0.19999999999900392, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.117140368961273e-15, "max_resolution_difference": 1.5286545481446996e-14, "omega_imag": -0.09999999999999896, "omega_real": 0.9949874371066184, "outgoing_phase_residual": 2.000000000655936e-07, "pencil_residual": 7.58379020354341e-16, "reference_difference": 1.8706207835788547e-15, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 2.2003950868383347e-14, "unfactored_residual": 1.2080522829706908e-14 }, { "N": 12, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N12:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 3.913164489872395e-09, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.576004544201421e-15, "infinity_row_residual": 8.985213021989397e-15, "ingoing_phase_residual": 2.0000000075448853e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 4.8307906315492124e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j1", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.8307906315492124e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j3", "reverse_second_best_gap": 0.19999999495360846, "reverse_second_distance": 0.19999999495843926, "reverse_unambiguous": true, "second_best_gap": 0.19999999999232965, "second_distance": 0.19999999999716045, "unambiguous": true }, { "best_distance": 4.84092565870876e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j1", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.84092565870876e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j3", "reverse_second_best_gap": 0.19999999495344384, "reverse_second_distance": 0.19999999495828477, "reverse_unambiguous": true, "second_best_gap": 0.199999999992321, "second_distance": 0.19999999999716192, "unambiguous": true }, { "best_distance": 2.3817531227365703e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j3", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.3817531227365703e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j3", "reverse_second_best_gap": 0.1999999949569047, "reverse_second_distance": 0.19999999495928647, "reverse_unambiguous": true, "second_best_gap": 0.199999997238394, "second_distance": 0.19999999724077577, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.84092565870876e-12, "max_resolution_difference": 4.8307906315492124e-12, "omega_imag": -0.2999999999971618, "omega_real": 0.9949874371105245, "outgoing_phase_residual": 2.0000000074893742e-07, "pencil_residual": 6.995336639813849e-16, "reference_difference": 0.1999999999971618, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 1.4875837780788878e-12, "unfactored_residual": 2.1594097238003113e-12 }, { "N": 12, "accepted": false, "branch_id": "branch-0165", "branch_unique": true, "candidate_id": "poschl-teller:N12:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 6.1003594294222014e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.228702185097606e-16, "infinity_row_residual": 2.389055927137227e-15, "ingoing_phase_residual": 1.6438230678609858e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 8.786763883161797e-07, "matching_checks": [ { "best_distance": 0.0001460427024245103, "edge_kind": "resolution", "eigenfunction_mismatch": 3.7023361920685005e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N20:c0.7:j4", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0001460427024245103, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j4", "reverse_second_best_gap": 0.19985295377208706, "reverse_second_distance": 0.19999899647451158, "reverse_unambiguous": true, "second_best_gap": 0.19986102992267618, "second_distance": 0.2000070726251007, "unambiguous": true }, { "best_distance": 0.0001460436673129332, "edge_kind": "map", "eigenfunction_mismatch": 3.7024036314559083e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c1.0:j4", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0001460436673129332, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j4", "reverse_second_best_gap": 0.1998529535384838, "reverse_second_distance": 0.19999899720579675, "reverse_unambiguous": true, "second_best_gap": 0.1998610289972552, "second_distance": 0.20000707266456813, "unambiguous": true }, { "best_distance": 6.352531529498873e-05, "edge_kind": "map", "eigenfunction_mismatch": 8.786763883161797e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c1.4:j4", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.352531529498873e-05, "reverse_nearest_candidate_id": "poschl-teller:N12:c0.7:j4", "reverse_second_best_gap": 0.19994570560024785, "reverse_second_distance": 0.20000923091554285, "reverse_unambiguous": true, "second_best_gap": 0.1999430610295856, "second_distance": 0.20000658634488058, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0001460436673129332, "max_resolution_difference": 0.0001460427024245103, "omega_imag": -0.9000070194669645, "omega_real": 0.9951333119849382, "outgoing_phase_residual": 1.643823068399594e-07, "pencil_residual": 5.418573904386447e-16, "reference_difference": 0.8000070327665229, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.7023361920685005e-07, "transformed_residual": 2.1090302690143648e-08, "unfactored_residual": 2.8842576777442758e-08 }, { "N": 12, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 2.0198599784252057e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.5225585025447843e-16, "infinity_row_residual": 1.2964239158861377e-15, "ingoing_phase_residual": 1.9245008679372067e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 7.771561172376096e-16, "matching_checks": [ { "best_distance": 2.6416008806744385e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j1", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.6416008806744385e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j0", "reverse_second_best_gap": 0.1999999999964684, "reverse_second_distance": 0.19999999999911, "reverse_unambiguous": true, "second_best_gap": 0.19999999999640672, "second_distance": 0.19999999999904833, "unambiguous": true }, { "best_distance": 9.191632569768816e-09, "edge_kind": "map", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j1", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.191632569768816e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j0", "reverse_second_best_gap": 0.1999999857666522, "reverse_second_distance": 0.19999999495828477, "reverse_unambiguous": true, "second_best_gap": 0.1999999908111445, "second_distance": 0.20000000000277707, "unambiguous": true }, { "best_distance": 4.740956652537924e-09, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j1", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.740956652537924e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j0", "reverse_second_best_gap": 0.19999999249697634, "reverse_second_distance": 0.199999997237933, "reverse_unambiguous": true, "second_best_gap": 0.19999999525997933, "second_distance": 0.20000000000093598, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.191632569768816e-09, "max_resolution_difference": 2.6416008806744385e-12, "omega_imag": -0.4999999999999389, "omega_real": 0.9949874371065452, "outgoing_phase_residual": 1.9245008686796702e-07, "pencil_residual": 1.510543014858772e-16, "reference_difference": 0.39999999999993885, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.6383676660989605e-15, "unfactored_residual": 1.911236458282065e-15 }, { "N": 12, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 6.923456968425383e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.2675147181000767e-15, "infinity_row_residual": 8.873646689304104e-16, "ingoing_phase_residual": 2.0000000064957384e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.4859579326213068e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j2", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4859579326213068e-14, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j1", "reverse_second_best_gap": 0.19999999999990645, "reverse_second_distance": 0.1999999999999213, "reverse_unambiguous": true, "second_best_gap": 0.19999999999999016, "second_distance": 0.200000000000005, "unambiguous": true }, { "best_distance": 4.84092565870876e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j3", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.84092565870876e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j1", "reverse_second_best_gap": 0.199999999992321, "reverse_second_distance": 0.19999999999716192, "reverse_unambiguous": true, "second_best_gap": 0.19999999495344384, "second_distance": 0.19999999495828477, "unambiguous": true }, { "best_distance": 2.607388958010729e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j3", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.607388958010729e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j1", "reverse_second_best_gap": 0.19999999999639562, "reverse_second_distance": 0.199999999999003, "reverse_unambiguous": true, "second_best_gap": 0.1999999972353256, "second_distance": 0.199999997237933, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.84092565870876e-12, "max_resolution_difference": 1.4859579326213068e-14, "omega_imag": -0.3000000000000046, "omega_real": 0.9949874371066062, "outgoing_phase_residual": 2.0000000074893742e-07, "pencil_residual": 1.4182295768672379e-16, "reference_difference": 0.2000000000000046, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 3.8016536236446525e-15, "unfactored_residual": 3.4159489403184375e-15 }, { "N": 12, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 5.685172390862035e-16, "failure_reasons": [], "horizon_row_residual": 1.1746083466625462e-14, "infinity_row_residual": 1.915505169347222e-14, "ingoing_phase_residual": 1.9999999984604977e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 6.4471996265617154e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j3", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.4471996265617154e-15, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j2", "reverse_second_best_gap": 0.19999999999999857, "reverse_second_distance": 0.200000000000005, "reverse_unambiguous": true, "second_best_gap": 0.20000000000001125, "second_distance": 0.2000000000000177, "unambiguous": true }, { "best_distance": 9.876656908246509e-16, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j2", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.876656908246509e-16, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j2", "reverse_second_best_gap": 0.20000000000000462, "reverse_second_distance": 0.20000000000000562, "reverse_unambiguous": true, "second_best_gap": 0.19999999999716092, "second_distance": 0.19999999999716192, "unambiguous": true }, { "best_distance": 1.5770077162738417e-15, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j2", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.5770077162738417e-15, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j2", "reverse_second_best_gap": 0.20000000000000454, "reverse_second_distance": 0.20000000000000612, "reverse_unambiguous": true, "second_best_gap": 0.19999999999900142, "second_distance": 0.199999999999003, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5770077162738417e-15, "max_resolution_difference": 6.4471996265617154e-15, "omega_imag": -0.0999999999999999, "omega_real": 0.9949874371066187, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 3.1936866027152853e-16, "reference_difference": 1.2262814116578437e-15, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 7.470190128419482e-15, "unfactored_residual": 4.3273010687534236e-15 }, { "N": 12, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 3.6211743541983016e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.044888750852806e-16, "infinity_row_residual": 2.7428645890136295e-16, "ingoing_phase_residual": 1.7960529329668939e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.519884880404561e-11, "matching_checks": [ { "best_distance": 1.840911204155084e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j0", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.840911204155084e-11, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j3", "reverse_second_best_gap": 0.19999999998063922, "reverse_second_distance": 0.19999999999904833, "reverse_unambiguous": true, "second_best_gap": 0.1999999999115903, "second_distance": 0.1999999999299994, "unambiguous": true }, { "best_distance": 1.102752118618358e-06, "edge_kind": "map", "eigenfunction_mismatch": 9.519884880404561e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j0", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.102752118618358e-06, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j3", "reverse_second_best_gap": 0.19999789445367813, "reverse_second_distance": 0.19999899720579675, "reverse_unambiguous": true, "second_best_gap": 0.19999890228881476, "second_distance": 0.20000000504093338, "unambiguous": true }, { "best_distance": 5.815742510049385e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.8023472431470964e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j0", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.815742510049385e-07, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j3", "reverse_second_best_gap": 0.19999893187524642, "reverse_second_distance": 0.19999951344949743, "reverse_unambiguous": true, "second_best_gap": 0.19999942118703398, "second_distance": 0.200000002761285, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.102752118618358e-06, "max_resolution_difference": 1.840911204155084e-11, "omega_imag": -0.6999999999992225, "omega_real": 0.9949874371066876, "outgoing_phase_residual": 1.796052933460401e-07, "pencil_residual": 1.4409962272147848e-16, "reference_difference": 0.5999999999992225, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.7118469354328155e-15, "unfactored_residual": 2.4783490573487323e-15 }, { "N": 12, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 2.1348918431434257e-15, "failure_reasons": [ "matching:map:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.515032322098714e-16, "infinity_row_residual": 8.690867317539606e-16, "ingoing_phase_residual": 1.6439897410294553e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.7024036314559083e-07, "matching_checks": [ { "best_distance": 2.2977365766548635e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j4", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.2977365766548635e-10, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j4", "reverse_second_best_gap": 0.19999999970022575, "reverse_second_distance": 0.1999999999299994, "reverse_unambiguous": true, "second_best_gap": 0.1999999997721349, "second_distance": 0.20000000000190854, "unambiguous": true }, { "best_distance": 0.0001460436673129332, "edge_kind": "map", "eigenfunction_mismatch": 3.7024036314559083e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c0.7:j4", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0001460436673129332, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j4", "reverse_second_best_gap": 0.1998610289972552, "reverse_second_distance": 0.20000707266456813, "reverse_unambiguous": true, "second_best_gap": 0.1998529535384838, "second_distance": 0.19999899720579675, "unambiguous": true }, { "best_distance": 8.306077845786301e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.108466716193135e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c1.4:j4", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.306077845786301e-05, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.0:j4", "reverse_second_best_gap": 0.19992717274380664, "reverse_second_distance": 0.2000102335222645, "reverse_unambiguous": true, "second_best_gap": 0.19991645267103958, "second_distance": 0.19999951344949743, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0001460436673129332, "max_resolution_difference": 2.2977365766548635e-10, "omega_imag": -0.9000000000008958, "omega_real": 0.9949874371075318, "outgoing_phase_residual": 1.6439897400210228e-07, "pencil_residual": 2.0656149576279578e-16, "reference_difference": 0.8000000000008958, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.4350765667656035e-15, "unfactored_residual": 1.1609120576169944e-15 }, { "N": 12, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 2.7790435956955393e-06, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.994264050783958e-16, "infinity_row_residual": 7.821538915361366e-16, "ingoing_phase_residual": 1.7960530386140324e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.2595358917243402e-10, "matching_checks": [ { "best_distance": 5.815831257987542e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.802369447607589e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j0", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.815831257987542e-07, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j0", "reverse_second_best_gap": 0.19999942115917138, "reverse_second_distance": 0.20000000274229718, "reverse_unambiguous": true, "second_best_gap": 0.19999893146388786, "second_distance": 0.19999951304701366, "unambiguous": true }, { "best_distance": 5.349370085529788e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.2595358917243402e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j0", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.349370085529788e-07, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j0", "reverse_second_best_gap": 0.20000047062119639, "reverse_second_distance": 0.20000100555820494, "reverse_unambiguous": true, "second_best_gap": 0.1999999566565959, "second_distance": 0.20000049159360445, "unambiguous": true }, { "best_distance": 5.815742510049385e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.8023472431470964e-11, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j3", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.815742510049385e-07, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j0", "reverse_second_best_gap": 0.19999942118703398, "reverse_second_distance": 0.200000002761285, "reverse_unambiguous": true, "second_best_gap": 0.19999893187524642, "second_distance": 0.19999951344949743, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.815742510049385e-07, "max_resolution_difference": 5.815831257987542e-07, "omega_imag": -0.700000486551652, "omega_real": 0.9949871185233504, "outgoing_phase_residual": 1.7960530396010453e-07, "pencil_residual": 2.0920483781852043e-16, "reference_difference": 0.6000004865517367, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.802369447607589e-11, "transformed_residual": 9.287207412046962e-10, "unfactored_residual": 1.3274635473876054e-09 }, { "N": 12, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 2.1705358260929883e-07, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.8467543256475924e-15, "infinity_row_residual": 1.1779847095705863e-15, "ingoing_phase_residual": 1.924500875217663e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.4432899320127035e-15, "matching_checks": [ { "best_distance": 4.740738948740291e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j1", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.740738948740291e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j1", "reverse_second_best_gap": 0.19999999526178716, "reverse_second_distance": 0.2000000000025261, "reverse_unambiguous": true, "second_best_gap": 0.19999999249716918, "second_distance": 0.19999999723790812, "unambiguous": true }, { "best_distance": 4.4590288976476924e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j1", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.4590288976476924e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j1", "reverse_second_best_gap": 0.19999999050025757, "reverse_second_distance": 0.19999999495928647, "reverse_unambiguous": true, "second_best_gap": 0.19999999278174688, "second_distance": 0.19999999724077577, "unambiguous": true }, { "best_distance": 4.740956652537924e-09, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j0", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.740956652537924e-09, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j1", "reverse_second_best_gap": 0.19999999525997933, "reverse_second_distance": 0.20000000000093598, "reverse_unambiguous": true, "second_best_gap": 0.19999999249697634, "second_distance": 0.199999997237933, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.740956652537924e-09, "max_resolution_difference": 4.740738948740291e-09, "omega_imag": -0.49999999723793753, "omega_real": 0.9949874332532326, "outgoing_phase_residual": 1.924500874897169e-07, "pencil_residual": 2.1571770284117266e-16, "reference_difference": 0.39999999723793755, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 3.9512174045716065e-11, "unfactored_residual": 5.819937906958046e-11 }, { "N": 12, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 1.0622456540938568e-15, "failure_reasons": [], "horizon_row_residual": 7.72658701076522e-15, "infinity_row_residual": 1.3927408150716283e-14, "ingoing_phase_residual": 1.9999999995512779e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 3.3306690738754696e-16, "matching_checks": [ { "best_distance": 7.354769295024291e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j2", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.354769295024291e-15, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j2", "reverse_second_best_gap": 0.19999999999899018, "reverse_second_distance": 0.19999999999899754, "reverse_unambiguous": true, "second_best_gap": 0.20000000000002363, "second_distance": 0.200000000000031, "unambiguous": true }, { "best_distance": 1.117140368961273e-15, "edge_kind": "map", "eigenfunction_mismatch": 3.3306690738754696e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j2", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.117140368961273e-15, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j2", "reverse_second_best_gap": 0.1999999999990028, "reverse_second_distance": 0.19999999999900392, "reverse_unambiguous": true, "second_best_gap": 0.19999999999716223, "second_distance": 0.19999999999716334, "unambiguous": true }, { "best_distance": 1.5770077162738417e-15, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j2", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5770077162738417e-15, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j2", "reverse_second_best_gap": 0.19999999999900142, "reverse_second_distance": 0.199999999999003, "reverse_unambiguous": true, "second_best_gap": 0.20000000000000454, "second_distance": 0.20000000000000612, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5770077162738417e-15, "max_resolution_difference": 7.354769295024291e-15, "omega_imag": -0.09999999999999847, "omega_real": 0.9949874371066194, "outgoing_phase_residual": 2.000000000655936e-07, "pencil_residual": 2.2416373835960013e-16, "reference_difference": 1.6374025392619467e-15, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.0161814523537133e-14, "unfactored_residual": 5.290993474945538e-15 }, { "N": 12, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 2.4600706426922708e-09, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.8948777504329866e-15, "infinity_row_residual": 2.745103775995079e-15, "ingoing_phase_residual": 2.0000000064402273e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 2.5265519762451636e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j3", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5265519762451636e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j3", "reverse_second_best_gap": 0.19999999723538156, "reverse_second_distance": 0.19999999723790812, "reverse_unambiguous": true, "second_best_gap": 0.19999999999647097, "second_distance": 0.19999999999899754, "unambiguous": true }, { "best_distance": 2.3817531227365703e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j3", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.3817531227365703e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j3", "reverse_second_best_gap": 0.199999997238394, "reverse_second_distance": 0.19999999724077577, "reverse_unambiguous": true, "second_best_gap": 0.1999999949569047, "second_distance": 0.19999999495928647, "unambiguous": true }, { "best_distance": 2.607388958010729e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j1", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.607388958010729e-12, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j3", "reverse_second_best_gap": 0.1999999972353256, "reverse_second_distance": 0.199999997237933, "reverse_unambiguous": true, "second_best_gap": 0.19999999999639562, "second_distance": 0.199999999999003, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.607388958010729e-12, "max_resolution_difference": 2.5265519762451636e-12, "omega_imag": -0.2999999999990029, "omega_real": 0.9949874371090135, "outgoing_phase_residual": 2.0000000074893742e-07, "pencil_residual": 2.505158109857598e-16, "reference_difference": 0.1999999999990029, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 7.341626493113358e-13, "unfactored_residual": 1.0665643222734632e-12 }, { "N": 12, "accepted": false, "branch_id": "branch-0167", "branch_unique": true, "candidate_id": "poschl-teller:N12:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 4.569059866960431e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.205654430901201e-15, "infinity_row_residual": 3.821474015154925e-16, "ingoing_phase_residual": 1.6438906961674432e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 8.786763883161797e-07, "matching_checks": [ { "best_distance": 8.306059006805465e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.108459096732517e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N20:c1.4:j4", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.306059006805465e-05, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j4", "reverse_second_best_gap": 0.19991645245694561, "reverse_second_distance": 0.19999951304701366, "reverse_unambiguous": true, "second_best_gap": 0.1999271729511895, "second_distance": 0.20001023354125755, "unambiguous": true }, { "best_distance": 6.352531529498873e-05, "edge_kind": "map", "eigenfunction_mismatch": 8.786763883161797e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c0.7:j4", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.352531529498873e-05, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j4", "reverse_second_best_gap": 0.1999430610295856, "reverse_second_distance": 0.20000658634488058, "reverse_unambiguous": true, "second_best_gap": 0.19994570560024785, "second_distance": 0.20000923091554285, "unambiguous": true }, { "best_distance": 8.306077845786301e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.108466716193135e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c1.0:j4", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.306077845786301e-05, "reverse_nearest_candidate_id": "poschl-teller:N12:c1.4:j4", "reverse_second_best_gap": 0.19991645267103958, "reverse_second_distance": 0.19999951344949743, "reverse_unambiguous": true, "second_best_gap": 0.19992717274380664, "second_distance": 0.2000102335222645, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 8.306077845786301e-05, "max_resolution_difference": 8.306059006805465e-05, "omega_imag": -0.9000102165355667, "omega_real": 0.9950698671708421, "outgoing_phase_residual": 1.643890695797908e-07, "pencil_residual": 2.488857315581056e-16, "reference_difference": 0.8000102207822096, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.108459096732517e-07, "transformed_residual": 1.2404273384234421e-08, "unfactored_residual": 1.696377925040899e-08 }, { "N": 20, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N20:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 2.8059489616013466e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.3867512453141668e-15, "infinity_row_residual": 1.9332420428878656e-14, "ingoing_phase_residual": 1.9245008670344961e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 9.186963889760784e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 5.551115123125783e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j1", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.186963889760784e-09, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j0", "reverse_second_best_gap": 0.19999998577147537, "reverse_second_distance": 0.19999999495843926, "reverse_unambiguous": true, "second_best_gap": 0.19999999081622535, "second_distance": 0.20000000000318924, "unambiguous": true }, { "best_distance": 4.08239946478492e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j1", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.08239946478492e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j0", "reverse_second_best_gap": 0.19999999992199, "reverse_second_distance": 0.19999999996281398, "reverse_unambiguous": true, "second_best_gap": 0.19999999995987475, "second_distance": 0.20000000000069873, "unambiguous": true }, { "best_distance": 3.2276996952137022e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j1", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.2276996952137022e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j0", "reverse_second_best_gap": 0.19999999999703466, "reverse_second_distance": 0.20000000000026236, "reverse_unambiguous": true, "second_best_gap": 0.19999999999540846, "second_distance": 0.19999999999863616, "unambiguous": true }, { "best_distance": 4.599935090205699e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j1", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.599935090205699e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j0", "reverse_second_best_gap": 0.19999999999707896, "reverse_second_distance": 0.2000000000016789, "reverse_unambiguous": true, "second_best_gap": 0.19999999997528367, "second_distance": 0.1999999999798836, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.599935090205699e-12, "max_resolution_difference": 9.186963889760784e-09, "omega_imag": -0.500000000000351, "omega_real": 0.9949874371006905, "outgoing_phase_residual": 1.9245008674564657e-07, "pencil_residual": 6.316763764827202e-16, "reference_difference": 0.4000000000003511, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.551115123125783e-16, "transformed_residual": 2.7803665335225137e-14, "unfactored_residual": 1.610247329771782e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N20:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 1.2153026985234407e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.412070728566958e-15, "infinity_row_residual": 3.0911686724537373e-14, "ingoing_phase_residual": 2.0000000064957384e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 4.8307906315492124e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j3", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.8307906315492124e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j1", "reverse_second_best_gap": 0.19999999999232965, "reverse_second_distance": 0.19999999999716045, "reverse_unambiguous": true, "second_best_gap": 0.19999999495360846, "second_distance": 0.19999999495843926, "unambiguous": true }, { "best_distance": 7.594003256401415e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j3", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.594003256401415e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j1", "reverse_second_best_gap": 0.19999999999889156, "reverse_second_distance": 0.19999999999965096, "reverse_unambiguous": true, "second_best_gap": 0.1999999999620546, "second_distance": 0.19999999996281398, "unambiguous": true }, { "best_distance": 1.8925991959945622e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j2", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8925991959945622e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j1", "reverse_second_best_gap": 0.19999999999982696, "reverse_second_distance": 0.20000000000001622, "reverse_unambiguous": true, "second_best_gap": 0.19999999999966125, "second_distance": 0.19999999999985052, "unambiguous": true }, { "best_distance": 2.6425510264242223e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j3", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.6425510264242223e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j1", "reverse_second_best_gap": 0.19999999999976384, "reverse_second_distance": 0.2000000000000281, "reverse_unambiguous": true, "second_best_gap": 0.19999999999958049, "second_distance": 0.19999999999984475, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.6425510264242223e-13, "max_resolution_difference": 4.8307906315492124e-12, "omega_imag": -0.2999999999998501, "omega_real": 0.9949874371065108, "outgoing_phase_residual": 2.0000000074893742e-07, "pencil_residual": 5.694630601849324e-16, "reference_difference": 0.1999999999998501, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 4.0860991432260417e-14, "unfactored_residual": 2.306857601005572e-14 }, { "N": 20, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N20:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 3.1276176679183923e-15, "failure_reasons": [], "horizon_row_residual": 3.151178034900357e-14, "infinity_row_residual": 3.1558666778486684e-13, "ingoing_phase_residual": 1.9999999995374e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.5286545481446996e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j2", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5286545481446996e-14, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j2", "reverse_second_best_gap": 0.19999999999983584, "reverse_second_distance": 0.19999999999985113, "reverse_unambiguous": true, "second_best_gap": 0.19999999999714516, "second_distance": 0.19999999999716045, "unambiguous": true }, { "best_distance": 3.554118527056729e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j2", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.554118527056729e-14, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j2", "reverse_second_best_gap": 0.19999999999977766, "reverse_second_distance": 0.19999999999981322, "reverse_unambiguous": true, "second_best_gap": 0.1999999999996154, "second_distance": 0.19999999999965096, "unambiguous": true }, { "best_distance": 8.514042613167058e-15, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j3", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.514042613167058e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j2", "reverse_second_best_gap": 0.199999999999842, "reverse_second_distance": 0.19999999999985052, "reverse_unambiguous": true, "second_best_gap": 0.2000000000000077, "second_distance": 0.20000000000001622, "unambiguous": true }, { "best_distance": 1.2223054138424965e-14, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j2", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2223054138424965e-14, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j2", "reverse_second_best_gap": 0.19999999999983253, "reverse_second_distance": 0.19999999999984475, "reverse_unambiguous": true, "second_best_gap": 0.2000000000000159, "second_distance": 0.2000000000000281, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.2223054138424965e-14, "max_resolution_difference": 3.554118527056729e-14, "omega_imag": -0.10000000000000135, "omega_real": 0.9949874371066335, "outgoing_phase_residual": 2.000000001760594e-07, "pencil_residual": 1.118830509357661e-15, "reference_difference": 1.3611450023973769e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 5.3524697230414206e-14, "unfactored_residual": 2.36753355674452e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N20:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 6.691453199622174e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.2391115077652354e-15, "infinity_row_residual": 1.2829814783050209e-14, "ingoing_phase_residual": 1.7960529339589058e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.1027174298769983e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 9.519507404576188e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c0.7:j0", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1027174298769983e-06, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j3", "reverse_second_best_gap": 0.1999978937570817, "reverse_second_distance": 0.19999899647451158, "reverse_unambiguous": true, "second_best_gap": 0.19999890236296883, "second_distance": 0.2000000050803987, "unambiguous": true }, { "best_distance": 2.6995966470456027e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j0", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.6995966470456027e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j3", "reverse_second_best_gap": 0.19999999875948887, "reverse_second_distance": 0.19999999902944854, "reverse_unambiguous": true, "second_best_gap": 0.19999999980606403, "second_distance": 0.2000000000760237, "unambiguous": true }, { "best_distance": 4.50489513269458e-11, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j0", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.50489513269458e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j3", "reverse_second_best_gap": 0.1999999992255721, "reverse_second_distance": 0.19999999927062106, "reverse_unambiguous": true, "second_best_gap": 0.1999999998454851, "second_distance": 0.19999999989053407, "unambiguous": true }, { "best_distance": 6.051999382410292e-11, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j0", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.051999382410292e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j3", "reverse_second_best_gap": 0.19999999922885361, "reverse_second_distance": 0.19999999928937362, "reverse_unambiguous": true, "second_best_gap": 0.1999999994992038, "second_distance": 0.1999999995597238, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.051999382410292e-11, "max_resolution_difference": 1.1027174298769983e-06, "omega_imag": -0.7000000000386878, "omega_real": 0.9949874371095702, "outgoing_phase_residual": 1.796052933953908e-07, "pencil_residual": 5.755371520766179e-16, "reference_difference": 0.6000000000386878, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.519507404576188e-11, "transformed_residual": 2.574545593289095e-14, "unfactored_residual": 1.6332976238250848e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N20:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 2.3891382818319527e-12, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.717490795549471e-16, "infinity_row_residual": 7.610293139256564e-15, "ingoing_phase_residual": 1.643989738843795e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 0.0001460427024245103, "edge_kind": "resolution", "eigenfunction_mismatch": 3.7023361920685005e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c0.7:j4", "peer_configuration": [ "poschl-teller", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0001460427024245103, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j4", "reverse_second_best_gap": 0.19986102992267618, "reverse_second_distance": 0.2000070726251007, "reverse_unambiguous": true, "second_best_gap": 0.19985295377208706, "second_distance": 0.19999899647451158, "unambiguous": true }, { "best_distance": 1.6585867719216146e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 8.215650382226158e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j4", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.6585867719216146e-08, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j4", "reverse_second_best_gap": 0.1999999941598716, "reverse_second_distance": 0.2000000107457393, "reverse_unambiguous": true, "second_best_gap": 0.19999998244358083, "second_distance": 0.19999999902944854, "unambiguous": true }, { "best_distance": 1.0237200777724043e-09, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j4", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.0237200777724043e-09, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j4", "reverse_second_best_gap": 0.199999998866814, "reverse_second_distance": 0.19999999989053407, "reverse_unambiguous": true, "second_best_gap": 0.19999999824690098, "second_distance": 0.19999999927062106, "unambiguous": true }, { "best_distance": 8.294349780468123e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j4", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.294349780468123e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c0.7:j4", "reverse_second_best_gap": 0.19999999873028884, "reverse_second_distance": 0.1999999995597238, "reverse_unambiguous": true, "second_best_gap": 0.19999999845993865, "second_distance": 0.19999999928937362, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.0237200777724043e-09, "max_resolution_difference": 0.0001460427024245103, "omega_imag": -0.8999999992696083, "omega_real": 0.9949874381087281, "outgoing_phase_residual": 1.6439897384741813e-07, "pencil_residual": 4.893449785860645e-16, "reference_difference": 0.7999999992696083, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.7023361920685005e-07, "transformed_residual": 2.1867014853042796e-14, "unfactored_residual": 1.3428719096547077e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 2.540408499141866e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.977670564133556e-15, "infinity_row_residual": 8.00860203372686e-15, "ingoing_phase_residual": 1.7960529339589058e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.840911204155084e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j3", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.840911204155084e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j0", "reverse_second_best_gap": 0.1999999999115903, "reverse_second_distance": 0.1999999999299994, "reverse_unambiguous": true, "second_best_gap": 0.19999999998063922, "second_distance": 0.19999999999904833, "unambiguous": true }, { "best_distance": 9.80006547253929e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j3", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.80006547253929e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j0", "reverse_second_best_gap": 0.1999999998164172, "reverse_second_distance": 0.19999999991441786, "reverse_unambiguous": true, "second_best_gap": 0.19999999991507506, "second_distance": 0.20000000001307572, "unambiguous": true }, { "best_distance": 4.50489513269458e-11, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j3", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.50489513269458e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j0", "reverse_second_best_gap": 0.1999999998454851, "reverse_second_distance": 0.19999999989053407, "reverse_unambiguous": true, "second_best_gap": 0.1999999992255721, "second_distance": 0.19999999927062106, "unambiguous": true }, { "best_distance": 1.9573418924667798e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j0", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.9573418924667798e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j0", "reverse_second_best_gap": 0.19999999992941378, "reverse_second_distance": 0.1999999999489872, "reverse_unambiguous": true, "second_best_gap": 0.19999999957985096, "second_distance": 0.19999999959942438, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.50489513269458e-11, "max_resolution_difference": 9.80006547253929e-11, "omega_imag": -0.6999999999989872, "omega_real": 0.99498743708828, "outgoing_phase_residual": 1.796052933953908e-07, "pencil_residual": 4.710490826204641e-16, "reference_difference": 0.5999999999989872, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.3246515630406028e-14, "unfactored_residual": 5.337481460619238e-15 }, { "N": 20, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 2.319786016681324e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.8691538144136895e-14, "infinity_row_residual": 6.122664528786442e-15, "ingoing_phase_residual": 1.9245008659715383e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 2.6416008806744385e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j0", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.6416008806744385e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j1", "reverse_second_best_gap": 0.19999999999640672, "reverse_second_distance": 0.19999999999904833, "reverse_unambiguous": true, "second_best_gap": 0.1999999999964684, "second_distance": 0.19999999999911, "unambiguous": true }, { "best_distance": 1.4781220112834527e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j0", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4781220112834527e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j1", "reverse_second_best_gap": 0.19999999997111267, "reverse_second_distance": 0.1999999999858939, "reverse_unambiguous": true, "second_best_gap": 0.19999999989963663, "second_distance": 0.19999999991441786, "unambiguous": true }, { "best_distance": 3.2276996952137022e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j0", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.2276996952137022e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j1", "reverse_second_best_gap": 0.19999999999540846, "reverse_second_distance": 0.19999999999863616, "reverse_unambiguous": true, "second_best_gap": 0.19999999999703466, "second_distance": 0.20000000000026236, "unambiguous": true }, { "best_distance": 1.874507094192372e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j1", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.874507094192372e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j1", "reverse_second_best_gap": 0.1999999999955837, "reverse_second_distance": 0.1999999999974582, "reverse_unambiguous": true, "second_best_gap": 0.1999999999782477, "second_distance": 0.1999999999801222, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.2276996952137022e-12, "max_resolution_difference": 1.4781220112834527e-11, "omega_imag": -0.5000000000001125, "omega_real": 0.9949874371039094, "outgoing_phase_residual": 1.9245008663935082e-07, "pencil_residual": 5.760315701017774e-16, "reference_difference": 0.4000000000001125, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.755646500669935e-14, "unfactored_residual": 7.0805462162294335e-15 }, { "N": 20, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 1.7154741153134924e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.5856010368241948e-14, "infinity_row_residual": 6.481936387522115e-15, "ingoing_phase_residual": 2.0000000075448853e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.4859579326213068e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j1", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4859579326213068e-14, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j2", "reverse_second_best_gap": 0.19999999999999016, "reverse_second_distance": 0.200000000000005, "reverse_unambiguous": true, "second_best_gap": 0.19999999999990645, "second_distance": 0.1999999999999213, "unambiguous": true }, { "best_distance": 1.5488693523669027e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j1", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5488693523669027e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j2", "reverse_second_best_gap": 0.1999999999998533, "reverse_second_distance": 0.20000000000000817, "reverse_unambiguous": true, "second_best_gap": 0.19999999998573903, "second_distance": 0.1999999999858939, "unambiguous": true }, { "best_distance": 1.8925991959945622e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j1", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8925991959945622e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j2", "reverse_second_best_gap": 0.19999999999966125, "reverse_second_distance": 0.19999999999985052, "reverse_unambiguous": true, "second_best_gap": 0.19999999999982696, "second_distance": 0.20000000000001622, "unambiguous": true }, { "best_distance": 1.0657938650074427e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j3", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0657938650074427e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j2", "reverse_second_best_gap": 0.1999999999999233, "reverse_second_distance": 0.20000000000002988, "reverse_unambiguous": true, "second_best_gap": 0.19999999999990564, "second_distance": 0.20000000000001222, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.8925991959945622e-13, "max_resolution_difference": 1.5488693523669027e-13, "omega_imag": -0.3000000000000176, "omega_real": 0.994987437106599, "outgoing_phase_residual": 2.000000008594032e-07, "pencil_residual": 4.617891119101862e-16, "reference_difference": 0.20000000000001758, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.2126910112829984e-14, "unfactored_residual": 8.750365450574443e-15 }, { "N": 20, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 2.9892622475960607e-15, "failure_reasons": [], "horizon_row_residual": 2.95787392117634e-13, "infinity_row_residual": 1.0752680387575738e-13, "ingoing_phase_residual": 1.9999999995512779e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 6.4471996265617154e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j2", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.4471996265617154e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j3", "reverse_second_best_gap": 0.20000000000001125, "reverse_second_distance": 0.2000000000000177, "reverse_unambiguous": true, "second_best_gap": 0.19999999999999857, "second_distance": 0.200000000000005, "unambiguous": true }, { "best_distance": 1.1229120053145752e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j2", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1229120053145752e-14, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j3", "reverse_second_best_gap": 0.20000000000000737, "reverse_second_distance": 0.2000000000000186, "reverse_unambiguous": true, "second_best_gap": 0.20000000000009346, "second_distance": 0.2000000000001047, "unambiguous": true }, { "best_distance": 8.514042613167058e-15, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j2", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.514042613167058e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j3", "reverse_second_best_gap": 0.2000000000000077, "reverse_second_distance": 0.20000000000001622, "reverse_unambiguous": true, "second_best_gap": 0.199999999999842, "second_distance": 0.19999999999985052, "unambiguous": true }, { "best_distance": 6.6223808817241154e-15, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j2", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.6223808817241154e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j3", "reverse_second_best_gap": 0.2000000000000056, "reverse_second_distance": 0.20000000000001222, "reverse_unambiguous": true, "second_best_gap": 0.20000000000002324, "second_distance": 0.20000000000002988, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 8.514042613167058e-15, "max_resolution_difference": 1.1229120053145752e-14, "omega_imag": -0.09999999999999958, "omega_real": 0.9949874371066252, "outgoing_phase_residual": 2.0000000017744717e-07, "pencil_residual": 1.2080802360035337e-15, "reference_difference": 5.235752959166867e-15, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 5.346821422063925e-14, "unfactored_residual": 1.4437656806461934e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 2.227805489269578e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 6.825779039460208e-15, "infinity_row_residual": 3.366836433586456e-15, "ingoing_phase_residual": 1.643989738843795e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 2.2977365766548635e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.0:j4", "peer_configuration": [ "poschl-teller", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.2977365766548635e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j4", "reverse_second_best_gap": 0.1999999997721349, "reverse_second_distance": 0.20000000000190854, "reverse_unambiguous": true, "second_best_gap": 0.19999999970022575, "second_distance": 0.1999999999299994, "unambiguous": true }, { "best_distance": 2.740314093046506e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j4", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.740314093046506e-09, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j4", "reverse_second_best_gap": 0.1999999990144874, "reverse_second_distance": 0.20000000175480148, "reverse_unambiguous": true, "second_best_gap": 0.19999999727437745, "second_distance": 0.20000000001469154, "unambiguous": true }, { "best_distance": 1.0237200777724043e-09, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j4", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.0237200777724043e-09, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j4", "reverse_second_best_gap": 0.19999999824690098, "reverse_second_distance": 0.19999999927062106, "reverse_unambiguous": true, "second_best_gap": 0.199999998866814, "second_distance": 0.19999999989053407, "unambiguous": true }, { "best_distance": 3.3150224750115084e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j4", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.3150224750115084e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.0:j4", "reverse_second_best_gap": 0.19999999926792214, "reverse_second_distance": 0.19999999959942438, "reverse_unambiguous": true, "second_best_gap": 0.19999999961748496, "second_distance": 0.1999999999489872, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.0237200777724043e-09, "max_resolution_difference": 2.740314093046506e-09, "omega_imag": -0.8999999999292219, "omega_real": 0.9949874373258407, "outgoing_phase_residual": 1.6439897378353628e-07, "pencil_residual": 4.2714122098121527e-16, "reference_difference": 0.7999999999292219, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.1502513935799772e-14, "unfactored_residual": 5.7600753402816805e-15 }, { "N": 20, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 2.916909342377118e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.9986764919486945e-15, "infinity_row_residual": 5.585865420350566e-15, "ingoing_phase_residual": 1.7960529329668939e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 5.815831257987542e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.802369447607589e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j0", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.815831257987542e-07, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j0", "reverse_second_best_gap": 0.19999893146388786, "reverse_second_distance": 0.19999951304701366, "reverse_unambiguous": true, "second_best_gap": 0.19999942115917138, "second_distance": 0.20000000274229718, "unambiguous": true }, { "best_distance": 1.0545076621261911e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j1", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0545076621261911e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j0", "reverse_second_best_gap": 0.1999999994602607, "reverse_second_distance": 0.19999999956571146, "reverse_unambiguous": true, "second_best_gap": 0.199999999419195, "second_distance": 0.19999999952464576, "unambiguous": true }, { "best_distance": 6.051999382410292e-11, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j3", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.051999382410292e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j0", "reverse_second_best_gap": 0.1999999994992038, "reverse_second_distance": 0.1999999995597238, "reverse_unambiguous": true, "second_best_gap": 0.19999999922885361, "second_distance": 0.19999999928937362, "unambiguous": true }, { "best_distance": 1.9573418924667798e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j0", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9573418924667798e-11, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j0", "reverse_second_best_gap": 0.19999999957985096, "reverse_second_distance": 0.19999999959942438, "reverse_unambiguous": true, "second_best_gap": 0.19999999992941378, "second_distance": 0.1999999999489872, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.051999382410292e-11, "max_resolution_difference": 5.815831257987542e-07, "omega_imag": -0.6999999999802347, "omega_real": 0.9949874370938889, "outgoing_phase_residual": 1.7960529314713788e-07, "pencil_residual": 3.3729518174195536e-16, "reference_difference": 0.5999999999802347, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.802369447607589e-11, "transformed_residual": 1.7835259241851556e-14, "unfactored_residual": 7.866718363853319e-15 }, { "N": 20, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 1.7215635577683163e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.3736476007376708e-14, "infinity_row_residual": 4.767647956835939e-15, "ingoing_phase_residual": 1.9245008680974537e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 4.740738948740291e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j1", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.740738948740291e-09, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j1", "reverse_second_best_gap": 0.19999999249716918, "reverse_second_distance": 0.19999999723790812, "reverse_unambiguous": true, "second_best_gap": 0.19999999526178716, "second_distance": 0.2000000000025261, "unambiguous": true }, { "best_distance": 3.971300573689813e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j4", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.971300573689813e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j1", "reverse_second_best_gap": 0.19999999997215664, "reverse_second_distance": 0.19999999997612794, "reverse_unambiguous": true, "second_best_gap": 0.19999999999750387, "second_distance": 0.20000000000147516, "unambiguous": true }, { "best_distance": 4.599935090205699e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j0", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.599935090205699e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j1", "reverse_second_best_gap": 0.19999999997528367, "reverse_second_distance": 0.1999999999798836, "reverse_unambiguous": true, "second_best_gap": 0.19999999999707896, "second_distance": 0.2000000000016789, "unambiguous": true }, { "best_distance": 1.874507094192372e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j1", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.874507094192372e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j1", "reverse_second_best_gap": 0.1999999999782477, "reverse_second_distance": 0.1999999999801222, "reverse_unambiguous": true, "second_best_gap": 0.1999999999955837, "second_distance": 0.1999999999974582, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.599935090205699e-12, "max_resolution_difference": 4.740738948740291e-09, "omega_imag": -0.500000000001529, "omega_real": 0.994987437105137, "outgoing_phase_residual": 1.9245008677769597e-07, "pencil_residual": 4.681069411350251e-16, "reference_difference": 0.400000000001529, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.6142257623673437e-14, "unfactored_residual": 1.0244698453356878e-14 }, { "N": 20, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 1.6127777321198566e-15, "failure_reasons": [], "horizon_row_residual": 1.0251923632874224e-13, "infinity_row_residual": 9.363965436894509e-14, "ingoing_phase_residual": 1.9999999995512779e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 7.354769295024291e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j2", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.354769295024291e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j2", "reverse_second_best_gap": 0.20000000000002363, "reverse_second_distance": 0.200000000000031, "reverse_unambiguous": true, "second_best_gap": 0.19999999999899018, "second_distance": 0.19999999999899754, "unambiguous": true }, { "best_distance": 6.2703187199450416e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j2", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.2703187199450416e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j2", "reverse_second_best_gap": 0.2000000000000235, "reverse_second_distance": 0.20000000000002977, "reverse_unambiguous": true, "second_best_gap": 0.2000000000000422, "second_distance": 0.20000000000004847, "unambiguous": true }, { "best_distance": 1.2223054138424965e-14, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j2", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2223054138424965e-14, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j2", "reverse_second_best_gap": 0.2000000000000159, "reverse_second_distance": 0.2000000000000281, "reverse_unambiguous": true, "second_best_gap": 0.19999999999983253, "second_distance": 0.19999999999984475, "unambiguous": true }, { "best_distance": 6.6223808817241154e-15, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j3", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.6223808817241154e-15, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j2", "reverse_second_best_gap": 0.20000000000002324, "reverse_second_distance": 0.20000000000002988, "reverse_unambiguous": true, "second_best_gap": 0.2000000000000056, "second_distance": 0.20000000000001222, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.2223054138424965e-14, "max_resolution_difference": 7.354769295024291e-15, "omega_imag": -0.10000000000000536, "omega_real": 0.994987437106622, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 5.632046415514317e-16, "reference_difference": 5.717446469541576e-15, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.1423797507569956e-14, "unfactored_residual": 1.3638174903721514e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 4.992227817193589e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.7430695568977014e-15, "infinity_row_residual": 1.5875252706802143e-15, "ingoing_phase_residual": 2.0000000076003964e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 2.5265519762451636e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N12:c1.4:j3", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5265519762451636e-12, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j3", "reverse_second_best_gap": 0.19999999999647097, "reverse_second_distance": 0.19999999999899754, "reverse_unambiguous": true, "second_best_gap": 0.19999999723538156, "second_distance": 0.19999999723790812, "unambiguous": true }, { "best_distance": 2.012103120084711e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j3", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.012103120084711e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j3", "reverse_second_best_gap": 0.19999999999984727, "reverse_second_distance": 0.20000000000004847, "reverse_unambiguous": true, "second_best_gap": 0.19999999999982856, "second_distance": 0.20000000000002977, "unambiguous": true }, { "best_distance": 2.6425510264242223e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j1", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.6425510264242223e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j3", "reverse_second_best_gap": 0.19999999999958049, "reverse_second_distance": 0.19999999999984475, "reverse_unambiguous": true, "second_best_gap": 0.19999999999976384, "second_distance": 0.2000000000000281, "unambiguous": true }, { "best_distance": 1.0657938650074427e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j2", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.0657938650074427e-13, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j3", "reverse_second_best_gap": 0.19999999999990564, "reverse_second_distance": 0.20000000000001222, "reverse_unambiguous": true, "second_best_gap": 0.1999999999999233, "second_distance": 0.20000000000002988, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.6425510264242223e-13, "max_resolution_difference": 2.5265519762451636e-12, "omega_imag": -0.30000000000002947, "omega_real": 0.9949874371067049, "outgoing_phase_residual": 2.0000000075448853e-07, "pencil_residual": 2.9471281701648284e-16, "reference_difference": 0.20000000000002946, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.3753273028217306e-14, "unfactored_residual": 1.3024784354059927e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N20:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 1.1235648761237975e-12, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.597809288987436e-15, "infinity_row_residual": 2.298409393908982e-15, "ingoing_phase_residual": 1.643989738843795e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 8.306059006805465e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.108459096732517e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "poschl-teller:N12:c1.4:j4", "peer_configuration": [ "poschl-teller", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.306059006805465e-05, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j4", "reverse_second_best_gap": 0.1999271729511895, "reverse_second_distance": 0.20001023354125755, "reverse_unambiguous": true, "second_best_gap": 0.19991645245694561, "second_distance": 0.19999951304701366, "unambiguous": true }, { "best_distance": 8.551976139661265e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j0", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.551976139661265e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j4", "reverse_second_best_gap": 0.19999999866944815, "reverse_second_distance": 0.19999999952464576, "reverse_unambiguous": true, "second_best_gap": 0.19999999871051385, "second_distance": 0.19999999956571146, "unambiguous": true }, { "best_distance": 8.294349780468123e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j4", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.294349780468123e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j4", "reverse_second_best_gap": 0.19999999845993865, "reverse_second_distance": 0.19999999928937362, "reverse_unambiguous": true, "second_best_gap": 0.19999999873028884, "second_distance": 0.1999999995597238, "unambiguous": true }, { "best_distance": 3.3150224750115084e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j4", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.3150224750115084e-10, "reverse_nearest_candidate_id": "poschl-teller:N20:c1.4:j4", "reverse_second_best_gap": 0.19999999961748496, "reverse_second_distance": 0.1999999999489872, "reverse_unambiguous": true, "second_best_gap": 0.19999999926792214, "second_distance": 0.19999999959942438, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 8.294349780468123e-10, "max_resolution_difference": 8.306059006805465e-05, "omega_imag": -0.8999999995984116, "omega_real": 0.9949874373472488, "outgoing_phase_residual": 1.6439897384741813e-07, "pencil_residual": 4.3062542152127195e-16, "reference_difference": 0.7999999995984116, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.108459096732517e-07, "transformed_residual": 1.2581554194311639e-14, "unfactored_residual": 7.750046923115576e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N24:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 2.0534619030316675e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.581526626535219e-15, "infinity_row_residual": 3.837697428979696e-14, "ingoing_phase_residual": 1.796052931476377e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 2.6995966470456027e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j3", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.6995966470456027e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j0", "reverse_second_best_gap": 0.19999999980606403, "reverse_second_distance": 0.2000000000760237, "reverse_unambiguous": true, "second_best_gap": 0.19999999875948887, "second_distance": 0.19999999902944854, "unambiguous": true }, { "best_distance": 1.1573546295081542e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j3", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1573546295081542e-09, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j0", "reverse_second_best_gap": 0.19999999966813833, "reverse_second_distance": 0.20000000082549296, "reverse_unambiguous": true, "second_best_gap": 0.19999999909335772, "second_distance": 0.20000000025071235, "unambiguous": true }, { "best_distance": 3.864493758411533e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j3", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.864493758411533e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j0", "reverse_second_best_gap": 0.19999999956541686, "reverse_second_distance": 0.19999999995186624, "reverse_unambiguous": true, "second_best_gap": 0.19999999986779887, "second_distance": 0.20000000025424824, "unambiguous": true }, { "best_distance": 2.1977372147182897e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j1", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.1977372147182897e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j0", "reverse_second_best_gap": 0.19999999985026232, "reverse_second_distance": 0.20000000007003604, "reverse_unambiguous": true, "second_best_gap": 0.19999999904494695, "second_distance": 0.19999999926472067, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.864493758411533e-10, "max_resolution_difference": 1.1573546295081542e-09, "omega_imag": -0.7000000002401597, "omega_real": 0.9949874369298836, "outgoing_phase_residual": 1.796052931969884e-07, "pencil_residual": 1.0557171570176743e-15, "reference_difference": 0.6000000002401598, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 3.488112816476488e-14, "unfactored_residual": 2.1289908510722192e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N24:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 7.970725563038298e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.133321294024246e-15, "infinity_row_residual": 5.6336627450370464e-14, "ingoing_phase_residual": 1.9245008667140022e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 4.08239946478492e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j0", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.08239946478492e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j1", "reverse_second_best_gap": 0.19999999995987475, "reverse_second_distance": 0.20000000000069873, "reverse_unambiguous": true, "second_best_gap": 0.19999999992199, "second_distance": 0.19999999996281398, "unambiguous": true }, { "best_distance": 5.3131038735510906e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j2", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.3131038735510906e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j1", "reverse_second_best_gap": 0.19999999993666404, "reverse_second_distance": 0.19999999998979506, "reverse_unambiguous": true, "second_best_gap": 0.1999999999091003, "second_distance": 0.19999999996223133, "unambiguous": true }, { "best_distance": 2.7564986294311766e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j0", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.7564986294311766e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j1", "reverse_second_best_gap": 0.1999999999586942, "reverse_second_distance": 0.19999999998625917, "reverse_unambiguous": true, "second_best_gap": 0.19999999992430126, "second_distance": 0.19999999995186624, "unambiguous": true }, { "best_distance": 4.7475624012325e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j4", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.7475624012325e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j1", "reverse_second_best_gap": 0.19999999995697876, "reverse_second_distance": 0.2000000000044544, "reverse_unambiguous": true, "second_best_gap": 0.19999999991513462, "second_distance": 0.19999999996261025, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.7475624012325e-11, "max_resolution_difference": 5.3131038735510906e-11, "omega_imag": -0.4999999999626641, "omega_real": 0.9949874370849968, "outgoing_phase_residual": 1.9245008663935082e-07, "pencil_residual": 1.0343011215579479e-15, "reference_difference": 0.3999999999626641, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 5.937910280847045e-14, "unfactored_residual": 2.1193555123610228e-14 }, { "N": 24, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N24:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 4.336626266259516e-15, "failure_reasons": [], "horizon_row_residual": 1.3120321165281792e-14, "infinity_row_residual": 2.1532173546901866e-13, "ingoing_phase_residual": 1.9999999984466198e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.554118527056729e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j2", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.554118527056729e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j2", "reverse_second_best_gap": 0.1999999999996154, "reverse_second_distance": 0.19999999999965096, "reverse_unambiguous": true, "second_best_gap": 0.19999999999977766, "second_distance": 0.19999999999981322, "unambiguous": true }, { "best_distance": 6.252924017253327e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j1", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.252924017253327e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j2", "reverse_second_best_gap": 0.19999999999959725, "reverse_second_distance": 0.19999999999965978, "reverse_unambiguous": true, "second_best_gap": 0.20000000000033333, "second_distance": 0.20000000000039586, "unambiguous": true }, { "best_distance": 3.7947203831377766e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j2", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.7947203831377766e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j2", "reverse_second_best_gap": 0.1999999999996154, "reverse_second_distance": 0.19999999999965334, "reverse_unambiguous": true, "second_best_gap": 0.20000000000002946, "second_distance": 0.2000000000000674, "unambiguous": true }, { "best_distance": 4.0182405473843825e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j2", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.0182405473843825e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j2", "reverse_second_best_gap": 0.19999999999961243, "reverse_second_distance": 0.19999999999965262, "reverse_unambiguous": true, "second_best_gap": 0.19999999999997675, "second_distance": 0.20000000000001694, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.0182405473843825e-14, "max_resolution_difference": 6.252924017253327e-14, "omega_imag": -0.10000000000003688, "omega_real": 0.9949874371066345, "outgoing_phase_residual": 1.9999999995651557e-07, "pencil_residual": 7.456969345013795e-16, "reference_difference": 3.963791867341635e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.3117839081531847e-13, "unfactored_residual": 3.5929300197049153e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N24:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 2.834967971176067e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.4559352686346095e-14, "infinity_row_residual": 1.44517206894796e-13, "ingoing_phase_residual": 2.0000000075448853e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 7.594003256401415e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j1", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.594003256401415e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j3", "reverse_second_best_gap": 0.1999999999620546, "reverse_second_distance": 0.19999999996281398, "reverse_unambiguous": true, "second_best_gap": 0.19999999999889156, "second_distance": 0.19999999999965096, "unambiguous": true }, { "best_distance": 2.0558171890189504e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j0", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0558171890189504e-12, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j3", "reverse_second_best_gap": 0.1999999999601755, "reverse_second_distance": 0.19999999996223133, "reverse_unambiguous": true, "second_best_gap": 0.19999999998773924, "second_distance": 0.19999999998979506, "unambiguous": true }, { "best_distance": 8.957662799741257e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j1", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.957662799741257e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j3", "reverse_second_best_gap": 0.19999999996166404, "reverse_second_distance": 0.1999999999625598, "reverse_unambiguous": true, "second_best_gap": 0.1999999999853634, "second_distance": 0.19999999998625917, "unambiguous": true }, { "best_distance": 5.257386226812499e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j3", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.257386226812499e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j3", "reverse_second_best_gap": 0.1999999999620845, "reverse_second_distance": 0.19999999996261025, "reverse_unambiguous": true, "second_best_gap": 0.19999999999912688, "second_distance": 0.19999999999965262, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 8.957662799741257e-13, "max_resolution_difference": 2.0558171890189504e-12, "omega_imag": -0.2999999999996523, "omega_real": 0.994987437107244, "outgoing_phase_residual": 2.0000000074893742e-07, "pencil_residual": 1.4086204512335843e-15, "reference_difference": 0.19999999999965232, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 6.071623101377843e-14, "unfactored_residual": 3.442795589658475e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N24:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 1.1857822067226963e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.462116643272698e-16, "infinity_row_residual": 2.872448215432466e-14, "ingoing_phase_residual": 1.6439897154723743e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 7.882583474838611e-15, "matching_checks": [ { "best_distance": 1.6585867719216146e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 8.215650382226158e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c0.7:j4", "peer_configuration": [ "poschl-teller", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.6585867719216146e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j4", "reverse_second_best_gap": 0.19999998244358083, "reverse_second_distance": 0.19999999902944854, "reverse_unambiguous": true, "second_best_gap": 0.1999999941598716, "second_distance": 0.2000000107457393, "unambiguous": true }, { "best_distance": 1.0423008040987095e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 3.1086244689504383e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j4", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.0423008040987095e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j4", "reverse_second_best_gap": 0.1999999970966165, "reverse_second_distance": 0.20000000751962455, "reverse_unambiguous": true, "second_best_gap": 0.19999999957326198, "second_distance": 0.20000000999627002, "unambiguous": true }, { "best_distance": 1.3982915269231826e-08, "edge_kind": "map", "eigenfunction_mismatch": 6.5503158452884236e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j4", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.3982915269231826e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j4", "reverse_second_best_gap": 0.19999998753071369, "reverse_second_distance": 0.20000000151362896, "reverse_unambiguous": true, "second_best_gap": 0.1999999968869815, "second_distance": 0.20000001086989677, "unambiguous": true }, { "best_distance": 1.762953097904515e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.882583474838611e-15, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j0", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.762953097904515e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c0.7:j4", "reverse_second_best_gap": 0.1999999816351897, "reverse_second_distance": 0.19999999926472067, "reverse_unambiguous": true, "second_best_gap": 0.199999993122196, "second_distance": 0.20000001075172696, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.762953097904515e-08, "max_resolution_difference": 1.6585867719216146e-08, "omega_imag": -0.9000000107844267, "omega_real": 0.994987450046063, "outgoing_phase_residual": 1.643989715741579e-07, "pencil_residual": 9.958975362563534e-16, "reference_difference": 0.800000010784427, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.215650382226158e-15, "transformed_residual": 3.6859077876516935e-14, "unfactored_residual": 1.931733920421098e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 3.643417979152958e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.188795940322354e-14, "infinity_row_residual": 7.235357689720963e-14, "ingoing_phase_residual": 1.9245008680974537e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.4781220112834527e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j1", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4781220112834527e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j0", "reverse_second_best_gap": 0.19999999989963663, "reverse_second_distance": 0.19999999991441786, "reverse_unambiguous": true, "second_best_gap": 0.19999999997111267, "second_distance": 0.1999999999858939, "unambiguous": true }, { "best_distance": 1.9558846461164783e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j2", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9558846461164783e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j0", "reverse_second_best_gap": 0.19999999988975764, "reverse_second_distance": 0.1999999999093165, "reverse_unambiguous": true, "second_best_gap": 0.19999999980036315, "second_distance": 0.199999999819922, "unambiguous": true }, { "best_distance": 2.7564986294311766e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j1", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.7564986294311766e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j0", "reverse_second_best_gap": 0.19999999992430126, "reverse_second_distance": 0.19999999995186624, "reverse_unambiguous": true, "second_best_gap": 0.1999999999586942, "second_distance": 0.19999999998625917, "unambiguous": true }, { "best_distance": 2.0019515899344253e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j4", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.0019515899344253e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j0", "reverse_second_best_gap": 0.1999999998904041, "reverse_second_distance": 0.1999999999104236, "reverse_unambiguous": true, "second_best_gap": 0.19999999996583814, "second_distance": 0.19999999998585766, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.7564986294311766e-11, "max_resolution_difference": 1.9558846461164783e-11, "omega_imag": -0.4999999999859115, "omega_real": 0.9949874370998085, "outgoing_phase_residual": 1.9245008674564657e-07, "pencil_residual": 1.5086954012699198e-15, "reference_difference": 0.3999999999859115, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.6914171816351554e-14, "unfactored_residual": 9.747623099629096e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 8.44009872028473e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.319680802690854e-14, "infinity_row_residual": 2.6083956195629517e-14, "ingoing_phase_residual": 2.000000008649543e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.5488693523669027e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j2", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5488693523669027e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j1", "reverse_second_best_gap": 0.19999999998573903, "reverse_second_distance": 0.1999999999858939, "reverse_unambiguous": true, "second_best_gap": 0.1999999999998533, "second_distance": 0.20000000000000817, "unambiguous": true }, { "best_distance": 1.282862834664538e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j4", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.282862834664538e-12, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j1", "reverse_second_best_gap": 0.1999999999842994, "reverse_second_distance": 0.19999999998558227, "reverse_unambiguous": true, "second_best_gap": 0.1999999999988082, "second_distance": 0.20000000000009105, "unambiguous": true }, { "best_distance": 8.957662799741257e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j3", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.957662799741257e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j1", "reverse_second_best_gap": 0.1999999999853634, "reverse_second_distance": 0.19999999998625917, "reverse_unambiguous": true, "second_best_gap": 0.19999999996166404, "second_distance": 0.1999999999625598, "unambiguous": true }, { "best_distance": 4.369098071988471e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j3", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.369098071988471e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j1", "reverse_second_best_gap": 0.19999999998542076, "reverse_second_distance": 0.19999999998585766, "reverse_unambiguous": true, "second_best_gap": 0.1999999999996677, "second_distance": 0.2000000000001046, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 8.957662799741257e-13, "max_resolution_difference": 1.282862834664538e-12, "omega_imag": -0.3000000000001043, "omega_real": 0.9949874371064706, "outgoing_phase_residual": 2.00000000969869e-07, "pencil_residual": 4.539040261592084e-16, "reference_difference": 0.2000000000001043, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.1617525617161774e-14, "unfactored_residual": 1.3848051823615829e-14 }, { "N": 24, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 3.7551795536145375e-15, "failure_reasons": [], "horizon_row_residual": 5.573544695629495e-13, "infinity_row_residual": 4.297236278053723e-13, "ingoing_phase_residual": 1.9999999984466198e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.1229120053145752e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j3", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1229120053145752e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j2", "reverse_second_best_gap": 0.20000000000009346, "reverse_second_distance": 0.2000000000001047, "reverse_unambiguous": true, "second_best_gap": 0.20000000000000737, "second_distance": 0.2000000000000186, "unambiguous": true }, { "best_distance": 1.489567685209382e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j3", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.489567685209382e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j2", "reverse_second_best_gap": 0.20000000000007614, "reverse_second_distance": 0.20000000000009105, "reverse_unambiguous": true, "second_best_gap": 0.20000000000031534, "second_distance": 0.20000000000033025, "unambiguous": true }, { "best_distance": 3.7947203831377766e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j2", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.7947203831377766e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j2", "reverse_second_best_gap": 0.20000000000002946, "reverse_second_distance": 0.2000000000000674, "reverse_unambiguous": true, "second_best_gap": 0.1999999999996154, "second_distance": 0.19999999999965334, "unambiguous": true }, { "best_distance": 1.7112077710479702e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j2", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.7112077710479702e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j2", "reverse_second_best_gap": 0.20000000000008747, "reverse_second_distance": 0.2000000000001046, "reverse_unambiguous": true, "second_best_gap": 0.20000000000003773, "second_distance": 0.20000000000005486, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.7947203831377766e-14, "max_resolution_difference": 1.489567685209382e-14, "omega_imag": -0.09999999999999898, "omega_real": 0.9949874371066364, "outgoing_phase_residual": 1.9999999984604977e-07, "pencil_residual": 1.6811147056407881e-15, "reference_difference": 1.646336186960117e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 5.517553035267715e-14, "unfactored_residual": 1.9812045190965656e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 1.1959099816863138e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.698763675314938e-15, "infinity_row_residual": 2.6354464715784303e-15, "ingoing_phase_residual": 1.7960529329668939e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 9.80006547253929e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j0", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.80006547253929e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j3", "reverse_second_best_gap": 0.19999999991507506, "reverse_second_distance": 0.20000000001307572, "reverse_unambiguous": true, "second_best_gap": 0.1999999998164172, "second_distance": 0.19999999991441786, "unambiguous": true }, { "best_distance": 9.039574373267397e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j0", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.039574373267397e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j3", "reverse_second_best_gap": 0.19999999891596457, "reverse_second_distance": 0.199999999819922, "reverse_unambiguous": true, "second_best_gap": 0.1999999958238963, "second_distance": 0.19999999672785373, "unambiguous": true }, { "best_distance": 3.864493758411533e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j0", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.864493758411533e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j3", "reverse_second_best_gap": 0.19999999986779887, "reverse_second_distance": 0.20000000025424824, "reverse_unambiguous": true, "second_best_gap": 0.19999999956541686, "second_distance": 0.19999999995186624, "unambiguous": true }, { "best_distance": 1.7984585701322053e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j1", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.7984585701322053e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j3", "reverse_second_best_gap": 0.19999999986694278, "reverse_second_distance": 0.20000000004678864, "reverse_unambiguous": true, "second_best_gap": 0.19999999941050423, "second_distance": 0.19999999959035009, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.864493758411533e-10, "max_resolution_difference": 9.039574373267397e-10, "omega_imag": -0.6999999999145303, "omega_real": 0.9949874371379908, "outgoing_phase_residual": 1.796052932961896e-07, "pencil_residual": 2.5017550996929135e-16, "reference_difference": 0.5999999999145303, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 8.035391977941465e-15, "unfactored_residual": 7.221508182124778e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 4.300710937268697e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.1151775969811263e-14, "infinity_row_residual": 4.1373830948153016e-14, "ingoing_phase_residual": 1.6439897352117024e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.5503158452884236e-15, "matching_checks": [ { "best_distance": 2.740314093046506e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.0:j4", "peer_configuration": [ "poschl-teller", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.740314093046506e-09, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j4", "reverse_second_best_gap": 0.19999999727437745, "reverse_second_distance": 0.20000000001469154, "reverse_unambiguous": true, "second_best_gap": 0.1999999990144874, "second_distance": 0.20000000175480148, "unambiguous": true }, { "best_distance": 5.900864891269965e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.5543122344752192e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j1", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.900864891269965e-09, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j4", "reverse_second_best_gap": 0.19999999082698885, "reverse_second_distance": 0.19999999672785373, "reverse_unambiguous": true, "second_best_gap": 0.19999999604709032, "second_distance": 0.2000000019479552, "unambiguous": true }, { "best_distance": 1.3982915269231826e-08, "edge_kind": "map", "eigenfunction_mismatch": 6.5503158452884236e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j4", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.3982915269231826e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j4", "reverse_second_best_gap": 0.1999999968869815, "reverse_second_distance": 0.20000001086989677, "reverse_unambiguous": true, "second_best_gap": 0.19999998753071369, "second_distance": 0.20000000151362896, "unambiguous": true }, { "best_distance": 3.6487054062352884e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j0", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.6487054062352884e-09, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.0:j4", "reverse_second_best_gap": 0.1999999959416447, "reverse_second_distance": 0.19999999959035009, "reverse_unambiguous": true, "second_best_gap": 0.19999999807238317, "second_distance": 0.20000000172108856, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.3982915269231826e-08, "max_resolution_difference": 5.900864891269965e-09, "omega_imag": -0.9000000017537887, "omega_real": 0.9949874393704133, "outgoing_phase_residual": 1.643989735480907e-07, "pencil_residual": 1.5457076841134602e-15, "reference_difference": 0.8000000017537887, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.5543122344752192e-15, "transformed_residual": 1.2023520973547653e-14, "unfactored_residual": 6.19663692253718e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 1.0028030808809084e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.1772708653109813e-14, "infinity_row_residual": 1.3982875850079918e-14, "ingoing_phase_residual": 1.6439897403906368e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 7.882583474838611e-15, "matching_checks": [ { "best_distance": 8.551976139661265e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j4", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.551976139661265e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j0", "reverse_second_best_gap": 0.19999999871051385, "reverse_second_distance": 0.19999999956571146, "reverse_unambiguous": true, "second_best_gap": 0.19999999866944815, "second_distance": 0.19999999952464576, "unambiguous": true }, { "best_distance": 2.2759619781025563e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.9095836023552692e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j4", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.2759619781025563e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j0", "reverse_second_best_gap": 0.19999996237310805, "reverse_second_distance": 0.19999998513272782, "reverse_unambiguous": true, "second_best_gap": 0.19999997746537054, "second_distance": 0.20000000022499032, "unambiguous": true }, { "best_distance": 1.762953097904515e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.882583474838611e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j4", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.762953097904515e-08, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j0", "reverse_second_best_gap": 0.199999993122196, "reverse_second_distance": 0.20000001075172696, "reverse_unambiguous": true, "second_best_gap": 0.1999999816351897, "second_distance": 0.19999999926472067, "unambiguous": true }, { "best_distance": 3.6487054062352884e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j4", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.6487054062352884e-09, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j0", "reverse_second_best_gap": 0.19999999807238317, "reverse_second_distance": 0.20000000172108856, "reverse_unambiguous": true, "second_best_gap": 0.1999999959416447, "second_distance": 0.19999999959035009, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.762953097904515e-08, "max_resolution_difference": 2.2759619781025563e-08, "omega_imag": -0.8999999995048804, "omega_real": 0.9949874364971812, "outgoing_phase_residual": 1.6439897393822043e-07, "pencil_residual": 6.332762338943207e-16, "reference_difference": 0.7999999995048804, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.9095836023552692e-14, "transformed_residual": 1.9851748415797558e-14, "unfactored_residual": 7.882719479495471e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 1.5752858549978915e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.3692004168946757e-14, "infinity_row_residual": 3.240519767824669e-14, "ingoing_phase_residual": 1.796052931974882e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.0545076621261911e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j0", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0545076621261911e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j1", "reverse_second_best_gap": 0.199999999419195, "reverse_second_distance": 0.19999999952464576, "reverse_unambiguous": true, "second_best_gap": 0.1999999994602607, "second_distance": 0.19999999956571146, "unambiguous": true }, { "best_distance": 8.432081472540472e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j0", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.432081472540472e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j1", "reverse_second_best_gap": 0.19999999843257524, "reverse_second_distance": 0.19999999927578338, "reverse_unambiguous": true, "second_best_gap": 0.19999998428951968, "second_distance": 0.19999998513272782, "unambiguous": true }, { "best_distance": 2.1977372147182897e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j0", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.1977372147182897e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j1", "reverse_second_best_gap": 0.19999999904494695, "reverse_second_distance": 0.19999999926472067, "reverse_unambiguous": true, "second_best_gap": 0.19999999985026232, "second_distance": 0.20000000007003604, "unambiguous": true }, { "best_distance": 1.7984585701322053e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j3", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.7984585701322053e-10, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j1", "reverse_second_best_gap": 0.19999999941050423, "reverse_second_distance": 0.19999999959035009, "reverse_unambiguous": true, "second_best_gap": 0.19999999986694278, "second_distance": 0.20000000004678864, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.1977372147182897e-10, "max_resolution_difference": 8.432081472540472e-10, "omega_imag": -0.7000000000327001, "omega_real": 0.9949874370024163, "outgoing_phase_residual": 1.796052932961896e-07, "pencil_residual": 9.400914901237452e-16, "reference_difference": 0.6000000000327002, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.8527592052476344e-14, "unfactored_residual": 8.073274674215712e-15 }, { "N": 24, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 1.8471050884614556e-15, "failure_reasons": [], "horizon_row_residual": 3.0644035416076327e-13, "infinity_row_residual": 2.606827991680771e-13, "ingoing_phase_residual": 1.9999999995512779e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 6.2703187199450416e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j2", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.2703187199450416e-15, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j2", "reverse_second_best_gap": 0.2000000000000422, "reverse_second_distance": 0.20000000000004847, "reverse_unambiguous": true, "second_best_gap": 0.2000000000000235, "second_distance": 0.20000000000002977, "unambiguous": true }, { "best_distance": 1.2738395650764614e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j2", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2738395650764614e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j2", "reverse_second_best_gap": 0.20000000000004958, "reverse_second_distance": 0.20000000000006232, "reverse_unambiguous": true, "second_best_gap": 0.20000000000047427, "second_distance": 0.200000000000487, "unambiguous": true }, { "best_distance": 4.0182405473843825e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j2", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.0182405473843825e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j2", "reverse_second_best_gap": 0.19999999999997675, "reverse_second_distance": 0.20000000000001694, "reverse_unambiguous": true, "second_best_gap": 0.19999999999961243, "second_distance": 0.19999999999965262, "unambiguous": true }, { "best_distance": 1.7112077710479702e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j2", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.7112077710479702e-14, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j2", "reverse_second_best_gap": 0.20000000000003773, "reverse_second_distance": 0.20000000000005486, "reverse_unambiguous": true, "second_best_gap": 0.20000000000008747, "second_distance": 0.2000000000001046, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.0182405473843825e-14, "max_resolution_difference": 1.2738395650764614e-14, "omega_imag": -0.09999999999999969, "omega_real": 0.9949874371066193, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 8.963070769683733e-16, "reference_difference": 7.386582113839282e-16, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.99922033596966e-14, "unfactored_residual": 2.3721126637471923e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 6.220458312045007e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.101957173621813e-14, "infinity_row_residual": 7.354626325763471e-14, "ingoing_phase_residual": 2.0000000064402273e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 2.012103120084711e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j3", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.012103120084711e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j3", "reverse_second_best_gap": 0.19999999999982856, "reverse_second_distance": 0.20000000000002977, "reverse_unambiguous": true, "second_best_gap": 0.19999999999984727, "second_distance": 0.20000000000004847, "unambiguous": true }, { "best_distance": 4.330211674298153e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j3", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.330211674298153e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j3", "reverse_second_best_gap": 0.200000000000054, "reverse_second_distance": 0.200000000000487, "reverse_unambiguous": true, "second_best_gap": 0.1999999999996293, "second_distance": 0.20000000000006232, "unambiguous": true }, { "best_distance": 5.257386226812499e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j3", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.257386226812499e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j3", "reverse_second_best_gap": 0.19999999999912688, "reverse_second_distance": 0.19999999999965262, "reverse_unambiguous": true, "second_best_gap": 0.1999999999620845, "second_distance": 0.19999999996261025, "unambiguous": true }, { "best_distance": 4.369098071988471e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j1", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.369098071988471e-13, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j3", "reverse_second_best_gap": 0.1999999999996677, "reverse_second_distance": 0.2000000000001046, "reverse_unambiguous": true, "second_best_gap": 0.19999999998542076, "second_distance": 0.19999999998585766, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.257386226812499e-13, "max_resolution_difference": 4.330211674298153e-13, "omega_imag": -0.30000000000005383, "omega_real": 0.9949874371069046, "outgoing_phase_residual": 2.0000000063847162e-07, "pencil_residual": 8.698768965922856e-16, "reference_difference": 0.20000000000005383, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 3.281635671378565e-14, "unfactored_residual": 9.317267714600723e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N24:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 1.0371785822838175e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.762449839747873e-15, "infinity_row_residual": 2.5171047472522144e-14, "ingoing_phase_residual": 1.9245008670344961e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.971300573689813e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N20:c1.4:j1", "peer_configuration": [ "poschl-teller", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.971300573689813e-12, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j4", "reverse_second_best_gap": 0.19999999999750387, "reverse_second_distance": 0.20000000000147516, "reverse_unambiguous": true, "second_best_gap": 0.19999999997215664, "second_distance": 0.19999999997612794, "unambiguous": true }, { "best_distance": 2.9639256834870643e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j1", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.9639256834870643e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j4", "reverse_second_best_gap": 0.19999999997497384, "reverse_second_distance": 0.2000000000046131, "reverse_unambiguous": true, "second_best_gap": 0.19999999924614412, "second_distance": 0.19999999927578338, "unambiguous": true }, { "best_distance": 4.7475624012325e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j1", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.7475624012325e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j4", "reverse_second_best_gap": 0.19999999991513462, "reverse_second_distance": 0.19999999996261025, "reverse_unambiguous": true, "second_best_gap": 0.19999999995697876, "second_distance": 0.2000000000044544, "unambiguous": true }, { "best_distance": 2.0019515899344253e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j0", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.0019515899344253e-11, "reverse_nearest_candidate_id": "poschl-teller:N24:c1.4:j4", "reverse_second_best_gap": 0.19999999996583814, "reverse_second_distance": 0.19999999998585766, "reverse_unambiguous": true, "second_best_gap": 0.1999999998904041, "second_distance": 0.1999999999104236, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.7475624012325e-11, "max_resolution_difference": 2.9639256834870643e-11, "omega_imag": -0.5000000000041067, "omega_real": 0.9949874371081581, "outgoing_phase_residual": 1.9245008677769597e-07, "pencil_residual": 5.067637206130251e-16, "reference_difference": 0.40000000000410674, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.4898141936727095e-14, "unfactored_residual": 8.90025748138557e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N28:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 1.211626876285877e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 6.445288935528662e-14, "infinity_row_residual": 1.0995962612849227e-13, "ingoing_phase_residual": 2.0000000076003964e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 2.0558171890189504e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j3", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0558171890189504e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j0", "reverse_second_best_gap": 0.19999999998773924, "reverse_second_distance": 0.19999999998979506, "reverse_unambiguous": true, "second_best_gap": 0.1999999999601755, "second_distance": 0.19999999996223133, "unambiguous": true }, { "best_distance": 2.0122671873257374e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j3", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0122671873257374e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j0", "reverse_second_best_gap": 0.1999999999873851, "reverse_second_distance": 0.19999999998939738, "reverse_unambiguous": true, "second_best_gap": 0.19999999984206795, "second_distance": 0.19999999984408023, "unambiguous": true }, { "best_distance": 2.3937712147232718e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j4", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.3937712147232718e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j0", "reverse_second_best_gap": 0.19999999998672438, "reverse_second_distance": 0.19999999998911816, "reverse_unambiguous": true, "second_best_gap": 0.19999999999802573, "second_distance": 0.2000000000004195, "unambiguous": true }, { "best_distance": 1.5522526949210619e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j3", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.5522526949210619e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j0", "reverse_second_best_gap": 0.19999999998740842, "reverse_second_distance": 0.19999999998896067, "reverse_unambiguous": true, "second_best_gap": 0.19999999999888898, "second_distance": 0.20000000000044124, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.3937712147232718e-12, "max_resolution_difference": 2.0558171890189504e-12, "omega_imag": -0.30000000000043275, "omega_real": 0.9949874371053421, "outgoing_phase_residual": 2.000000008594032e-07, "pencil_residual": 8.828211253226969e-16, "reference_difference": 0.20000000000043275, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 3.7158404188634104e-14, "unfactored_residual": 3.510706440106181e-14 }, { "N": 28, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N28:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 1.7533169617241133e-15, "failure_reasons": [], "horizon_row_residual": 9.546973124322546e-14, "infinity_row_residual": 1.3276700279329299e-13, "ingoing_phase_residual": 1.9999999984466198e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 6.252924017253327e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j2", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.252924017253327e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j1", "reverse_second_best_gap": 0.20000000000033333, "reverse_second_distance": 0.20000000000039586, "reverse_unambiguous": true, "second_best_gap": 0.19999999999959725, "second_distance": 0.19999999999965978, "unambiguous": true }, { "best_distance": 3.759405371610599e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j2", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.759405371610599e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j1", "reverse_second_best_gap": 0.20000000000036633, "reverse_second_distance": 0.2000000000004039, "reverse_unambiguous": true, "second_best_gap": 0.20000000000001988, "second_distance": 0.20000000000005747, "unambiguous": true }, { "best_distance": 4.6497970724761265e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j3", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.6497970724761265e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j1", "reverse_second_best_gap": 0.20000000000037302, "reverse_second_distance": 0.2000000000004195, "reverse_unambiguous": true, "second_best_gap": 0.2000000000002902, "second_distance": 0.2000000000003367, "unambiguous": true }, { "best_distance": 3.8649041074415073e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j2", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.8649041074415073e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j1", "reverse_second_best_gap": 0.2000000000004026, "reverse_second_distance": 0.20000000000044124, "reverse_unambiguous": true, "second_best_gap": 0.20000000000045554, "second_distance": 0.20000000000049417, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.6497970724761265e-14, "max_resolution_difference": 6.252924017253327e-14, "omega_imag": -0.09999999999999253, "omega_real": 0.9949874371065904, "outgoing_phase_residual": 1.9999999995512779e-07, "pencil_residual": 4.944893156415866e-16, "reference_difference": 3.046452599115465e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 9.575663447903216e-14, "unfactored_residual": 3.427525035072969e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N28:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 6.755685945731375e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.2097227098831475e-14, "infinity_row_residual": 9.035976060932517e-14, "ingoing_phase_residual": 1.9245008668742491e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 5.3131038735510906e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j1", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.3131038735510906e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j2", "reverse_second_best_gap": 0.1999999999091003, "reverse_second_distance": 0.19999999996223133, "reverse_unambiguous": true, "second_best_gap": 0.19999999993666404, "second_distance": 0.19999999998979506, "unambiguous": true }, { "best_distance": 1.5288677560164856e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j1", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5288677560164856e-10, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j2", "reverse_second_best_gap": 0.19999999969119345, "reverse_second_distance": 0.19999999984408023, "reverse_unambiguous": true, "second_best_gap": 0.19999999906633256, "second_distance": 0.19999999921921935, "unambiguous": true }, { "best_distance": 3.2061886184488115e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j2", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.2061886184488115e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j2", "reverse_second_best_gap": 0.1999999999727192, "reverse_second_distance": 0.20000000000478108, "reverse_unambiguous": true, "second_best_gap": 0.19999999978432423, "second_distance": 0.1999999998163861, "unambiguous": true }, { "best_distance": 5.4526248486441644e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j1", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.4526248486441644e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j2", "reverse_second_best_gap": 0.19999999994970794, "reverse_second_distance": 0.20000000000423418, "reverse_unambiguous": true, "second_best_gap": 0.19999999923591646, "second_distance": 0.1999999992904427, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.4526248486441644e-11, "max_resolution_difference": 1.5288677560164856e-10, "omega_imag": -0.4999999999894474, "omega_real": 0.9949874371308832, "outgoing_phase_residual": 1.9245008672962187e-07, "pencil_residual": 1.1949097721331487e-15, "reference_difference": 0.39999999998944735, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.107391996821444e-14, "unfactored_residual": 1.616709165202074e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N28:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 1.8144874985006563e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.491313043566211e-14, "infinity_row_residual": 2.4627740034221933e-14, "ingoing_phase_residual": 1.796052931974882e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.1573546295081542e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j0", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1573546295081542e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j3", "reverse_second_best_gap": 0.19999999909335772, "reverse_second_distance": 0.20000000025071235, "reverse_unambiguous": true, "second_best_gap": 0.19999999966813833, "second_distance": 0.20000000082549296, "unambiguous": true }, { "best_distance": 1.921205820616832e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j0", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.921205820616832e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j3", "reverse_second_best_gap": 0.19999999729801352, "reverse_second_distance": 0.19999999921921935, "reverse_unambiguous": true, "second_best_gap": 0.19999999902243823, "second_distance": 0.20000000094364406, "unambiguous": true }, { "best_distance": 1.9709319180941608e-09, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j0", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9709319180941608e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j3", "reverse_second_best_gap": 0.1999999978454542, "reverse_second_distance": 0.1999999998163861, "reverse_unambiguous": true, "second_best_gap": 0.1999999938832951, "second_distance": 0.199999995854227, "unambiguous": true }, { "best_distance": 2.008732546822127e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j0", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.008732546822127e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j3", "reverse_second_best_gap": 0.19999999728171017, "reverse_second_distance": 0.1999999992904427, "reverse_unambiguous": true, "second_best_gap": 0.1999999823685383, "second_distance": 0.19999998437727085, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.008732546822127e-09, "max_resolution_difference": 1.921205820616832e-09, "omega_imag": -0.700000000788157, "omega_real": 0.9949874379492798, "outgoing_phase_residual": 1.796052933460401e-07, "pencil_residual": 5.191194891635358e-16, "reference_difference": 0.6000000007881571, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 3.333925749979937e-14, "unfactored_residual": 2.1413329350003732e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N28:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 9.322914894604218e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.798163283134284e-15, "infinity_row_residual": 6.472741291106362e-14, "ingoing_phase_residual": 1.6439897304023816e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.942890293094024e-14, "matching_checks": [ { "best_distance": 1.0423008040987095e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 3.1086244689504383e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c0.7:j4", "peer_configuration": [ "poschl-teller", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.0423008040987095e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j4", "reverse_second_best_gap": 0.19999999957326198, "reverse_second_distance": 0.20000000999627002, "reverse_unambiguous": true, "second_best_gap": 0.1999999970966165, "second_distance": 0.20000000751962455, "unambiguous": true }, { "best_distance": 1.6626623547112777e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 8.752998326144734e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j4", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.6626623547112777e-07, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j4", "reverse_second_best_gap": 0.19999998124248267, "reverse_second_distance": 0.20000014750871814, "reverse_unambiguous": true, "second_best_gap": 0.19999984228488207, "second_distance": 0.20000000855111755, "unambiguous": true }, { "best_distance": 1.170113909865466e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.440092820663267e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j1", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.170113909865466e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j4", "reverse_second_best_gap": 0.19999998415308792, "reverse_second_distance": 0.199999995854227, "reverse_unambiguous": true, "second_best_gap": 0.19999999625281176, "second_distance": 0.20000000795395084, "unambiguous": true }, { "best_distance": 2.663291645650722e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.942890293094024e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j4", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.663291645650722e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c0.7:j4", "reverse_second_best_gap": 0.1999999577443544, "reverse_second_distance": 0.19999998437727085, "reverse_unambiguous": true, "second_best_gap": 0.19999998184697773, "second_distance": 0.2000000084798942, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.663291645650722e-08, "max_resolution_difference": 1.6626623547112777e-07, "omega_imag": -0.9000000077597843, "omega_real": 0.9949874400715638, "outgoing_phase_residual": 1.6439897293939495e-07, "pencil_residual": 1.6202678547327669e-15, "reference_difference": 0.8000000077597843, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.752998326144734e-13, "transformed_residual": 4.091325250883659e-14, "unfactored_residual": 1.5294193547350893e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 3.934681578549997e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.208036807947416e-15, "infinity_row_residual": 3.6524440829909195e-14, "ingoing_phase_residual": 1.7960529334653987e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 9.039574373267397e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j3", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.039574373267397e-10, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j0", "reverse_second_best_gap": 0.1999999958238963, "reverse_second_distance": 0.19999999672785373, "reverse_unambiguous": true, "second_best_gap": 0.19999999891596457, "second_distance": 0.199999999819922, "unambiguous": true }, { "best_distance": 1.8337843059879747e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j3", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8337843059879747e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j0", "reverse_second_best_gap": 0.19999999461296405, "reverse_second_distance": 0.19999999644674837, "reverse_unambiguous": true, "second_best_gap": 0.19999998385045845, "second_distance": 0.19999998568424276, "unambiguous": true }, { "best_distance": 1.9709319180941608e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j3", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.9709319180941608e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j0", "reverse_second_best_gap": 0.1999999938832951, "reverse_second_distance": 0.199999995854227, "reverse_unambiguous": true, "second_best_gap": 0.1999999978454542, "second_distance": 0.1999999998163861, "unambiguous": true }, { "best_distance": 6.500228288988825e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j0", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.500228288988825e-10, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j0", "reverse_second_best_gap": 0.19999999671247112, "reverse_second_distance": 0.19999999736249396, "reverse_unambiguous": true, "second_best_gap": 0.1999999847095717, "second_distance": 0.19999998535959454, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.9709319180941608e-09, "max_resolution_difference": 1.8337843059879747e-09, "omega_imag": -0.6999999998058335, "omega_real": 0.9949874362405923, "outgoing_phase_residual": 1.7960529349459202e-07, "pencil_residual": 6.959147733304581e-16, "reference_difference": 0.5999999998058335, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.1574108453660946e-14, "unfactored_residual": 1.0152607189536871e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 2.138776614186423e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.820952030599678e-15, "infinity_row_residual": 2.906423132741213e-14, "ingoing_phase_residual": 1.6439897437535246e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.8207657603852567e-14, "matching_checks": [ { "best_distance": 5.900864891269965e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.5543122344752192e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j4", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.900864891269965e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j1", "reverse_second_best_gap": 0.19999999604709032, "reverse_second_distance": 0.2000000019479552, "reverse_unambiguous": true, "second_best_gap": 0.19999999082698885, "second_distance": 0.19999999672785373, "unambiguous": true }, { "best_distance": 1.4177087629825736e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.887379141862766e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j4", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4177087629825736e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j1", "reverse_second_best_gap": 0.19999997150715512, "reverse_second_distance": 0.19999998568424276, "reverse_unambiguous": true, "second_best_gap": 0.19999998226966073, "second_distance": 0.19999999644674837, "unambiguous": true }, { "best_distance": 1.170113909865466e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.329070518200751e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j4", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.170113909865466e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j1", "reverse_second_best_gap": 0.19999999625281176, "reverse_second_distance": 0.20000000795395084, "reverse_unambiguous": true, "second_best_gap": 0.19999998415308792, "second_distance": 0.199999995854227, "unambiguous": true }, { "best_distance": 2.1136881854348266e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.8207657603852567e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j4", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.1136881854348266e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j1", "reverse_second_best_gap": 0.19999996422271268, "reverse_second_distance": 0.19999998535959454, "reverse_unambiguous": true, "second_best_gap": 0.1999999762256121, "second_distance": 0.19999999736249396, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.1136881854348266e-08, "max_resolution_difference": 1.4177087629825736e-08, "omega_imag": -0.8999999966423841, "omega_real": 0.9949874364218969, "outgoing_phase_residual": 1.6439897427450924e-07, "pencil_residual": 7.4376131785604945e-16, "reference_difference": 0.7999999966423841, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.887379141862766e-15, "transformed_residual": 1.0831255367930388e-14, "unfactored_residual": 6.0026823419260145e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 2.3051669866937405e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.91648452851405e-15, "infinity_row_residual": 4.918866587237559e-14, "ingoing_phase_residual": 1.9245008670344961e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.9558846461164783e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j0", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9558846461164783e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j2", "reverse_second_best_gap": 0.19999999980036315, "reverse_second_distance": 0.199999999819922, "reverse_unambiguous": true, "second_best_gap": 0.19999999988975764, "second_distance": 0.1999999999093165, "unambiguous": true }, { "best_distance": 2.3822669817301508e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j0", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.3822669817301508e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j2", "reverse_second_best_gap": 0.1999999997678053, "reverse_second_distance": 0.19999999979162797, "reverse_unambiguous": true, "second_best_gap": 0.19999999998192602, "second_distance": 0.2000000000057487, "unambiguous": true }, { "best_distance": 3.2061886184488115e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j2", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.2061886184488115e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j2", "reverse_second_best_gap": 0.19999999978432423, "reverse_second_distance": 0.1999999998163861, "reverse_unambiguous": true, "second_best_gap": 0.1999999999727192, "second_distance": 0.20000000000478108, "unambiguous": true }, { "best_distance": 2.4447788691995082e-11, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j1", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.4447788691995082e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j2", "reverse_second_best_gap": 0.19999999977671878, "reverse_second_distance": 0.19999999980116656, "reverse_unambiguous": true, "second_best_gap": 0.1999999992502285, "second_distance": 0.19999999927467627, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.2061886184488115e-11, "max_resolution_difference": 2.3822669817301508e-11, "omega_imag": -0.5000000000052138, "omega_real": 0.9949874371029658, "outgoing_phase_residual": 1.9245008674564657e-07, "pencil_residual": 6.366308547927013e-16, "reference_difference": 0.40000000000521385, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.9260841584623045e-14, "unfactored_residual": 8.302190744697588e-15 }, { "N": 28, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 2.24875648095197e-15, "failure_reasons": [], "horizon_row_residual": 3.78659471611965e-14, "infinity_row_residual": 9.625516013877436e-14, "ingoing_phase_residual": 1.9999999995651557e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.489567685209382e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j2", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.489567685209382e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j3", "reverse_second_best_gap": 0.20000000000031534, "reverse_second_distance": 0.20000000000033025, "reverse_unambiguous": true, "second_best_gap": 0.20000000000007614, "second_distance": 0.20000000000009105, "unambiguous": true }, { "best_distance": 5.665962729315857e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j2", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.665962729315857e-15, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j3", "reverse_second_best_gap": 0.20000000000031012, "reverse_second_distance": 0.2000000000003158, "reverse_unambiguous": true, "second_best_gap": 0.19999999999944623, "second_distance": 0.1999999999994519, "unambiguous": true }, { "best_distance": 4.6497970724761265e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j1", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.6497970724761265e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j3", "reverse_second_best_gap": 0.2000000000002902, "reverse_second_distance": 0.2000000000003367, "reverse_unambiguous": true, "second_best_gap": 0.20000000000037302, "second_distance": 0.2000000000004195, "unambiguous": true }, { "best_distance": 2.1924625322972245e-14, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j2", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.1924625322972245e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j3", "reverse_second_best_gap": 0.2000000000003158, "reverse_second_distance": 0.2000000000003377, "reverse_unambiguous": true, "second_best_gap": 0.20000000000045154, "second_distance": 0.20000000000047347, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.6497970724761265e-14, "max_resolution_difference": 1.489567685209382e-14, "omega_imag": -0.10000000000001323, "omega_real": 0.9949874371066321, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 4.2988624542953635e-16, "reference_difference": 1.7926497771999223e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 7.843797240843117e-14, "unfactored_residual": 2.942916338307239e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 2.8187361899699247e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.0361106938678214e-14, "infinity_row_residual": 1.0255399163140217e-13, "ingoing_phase_residual": 2.0000000087050544e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.282862834664538e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.0:j1", "peer_configuration": [ "poschl-teller", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.282862834664538e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j4", "reverse_second_best_gap": 0.1999999999988082, "reverse_second_distance": 0.20000000000009105, "reverse_unambiguous": true, "second_best_gap": 0.1999999999842994, "second_distance": 0.19999999998558227, "unambiguous": true }, { "best_distance": 2.37727188715019e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j1", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.37727188715019e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j4", "reverse_second_best_gap": 0.19999999999707463, "reverse_second_distance": 0.1999999999994519, "reverse_unambiguous": true, "second_best_gap": 0.19999999999793852, "second_distance": 0.2000000000003158, "unambiguous": true }, { "best_distance": 2.3937712147232718e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j0", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.3937712147232718e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j4", "reverse_second_best_gap": 0.19999999999802573, "reverse_second_distance": 0.2000000000004195, "reverse_unambiguous": true, "second_best_gap": 0.19999999998672438, "second_distance": 0.19999999998911816, "unambiguous": true }, { "best_distance": 8.548484157622766e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j3", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.548484157622766e-13, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.0:j4", "reverse_second_best_gap": 0.19999999999961862, "reverse_second_distance": 0.20000000000047347, "reverse_unambiguous": true, "second_best_gap": 0.19999999999948287, "second_distance": 0.2000000000003377, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.3937712147232718e-12, "max_resolution_difference": 2.37727188715019e-12, "omega_imag": -0.3000000000003292, "omega_real": 0.9949874371077336, "outgoing_phase_residual": 2.000000008649543e-07, "pencil_residual": 7.862480697405038e-16, "reference_difference": 0.20000000000032922, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 3.2418265247771686e-14, "unfactored_residual": 1.4938214341897066e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 1.8046689269548494e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.792208630447929e-15, "infinity_row_residual": 2.4800880343519994e-14, "ingoing_phase_residual": 1.796052934452413e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 8.432081472540472e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j1", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.432081472540472e-10, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j0", "reverse_second_best_gap": 0.19999998428951968, "reverse_second_distance": 0.19999998513272782, "reverse_unambiguous": true, "second_best_gap": 0.19999999843257524, "second_distance": 0.19999999927578338, "unambiguous": true }, { "best_distance": 5.628327541631023e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j3", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.628327541631023e-10, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j0", "reverse_second_best_gap": 0.19999998504505087, "reverse_second_distance": 0.19999998560788362, "reverse_unambiguous": true, "second_best_gap": 0.19999999875221033, "second_distance": 0.1999999993150431, "unambiguous": true }, { "best_distance": 2.008732546822127e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j3", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.008732546822127e-09, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j0", "reverse_second_best_gap": 0.1999999823685383, "reverse_second_distance": 0.19999998437727085, "reverse_unambiguous": true, "second_best_gap": 0.19999999728171017, "second_distance": 0.1999999992904427, "unambiguous": true }, { "best_distance": 6.500228288988825e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j0", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.500228288988825e-10, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j0", "reverse_second_best_gap": 0.1999999847095717, "reverse_second_distance": 0.19999998535959454, "reverse_unambiguous": true, "second_best_gap": 0.19999999671247112, "second_distance": 0.19999999736249396, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.008732546822127e-09, "max_resolution_difference": 8.432081472540472e-10, "omega_imag": -0.6999999992798901, "omega_real": 0.9949874366225782, "outgoing_phase_residual": 1.7960529349459202e-07, "pencil_residual": 4.592864078522039e-16, "reference_difference": 0.5999999992798901, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.64225503846414e-14, "unfactored_residual": 1.8488149617754836e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 2.737938854861661e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.7829949098451825e-15, "infinity_row_residual": 2.887944632109303e-14, "ingoing_phase_residual": 1.9245008659715383e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 2.9639256834870643e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j4", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.9639256834870643e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j1", "reverse_second_best_gap": 0.19999999924614412, "reverse_second_distance": 0.19999999927578338, "reverse_unambiguous": true, "second_best_gap": 0.19999999997497384, "second_distance": 0.2000000000046131, "unambiguous": true }, { "best_distance": 5.4365743703093175e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j4", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.4365743703093175e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j1", "reverse_second_best_gap": 0.19999999926067735, "reverse_second_distance": 0.1999999993150431, "reverse_unambiguous": true, "second_best_gap": 0.19999999949851166, "second_distance": 0.1999999995528774, "unambiguous": true }, { "best_distance": 5.4526248486441644e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j2", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.4526248486441644e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j1", "reverse_second_best_gap": 0.19999999923591646, "reverse_second_distance": 0.1999999992904427, "reverse_unambiguous": true, "second_best_gap": 0.19999999994970794, "second_distance": 0.20000000000423418, "unambiguous": true }, { "best_distance": 2.4447788691995082e-11, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j2", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.4447788691995082e-11, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j1", "reverse_second_best_gap": 0.1999999992502285, "reverse_second_distance": 0.19999999927467627, "reverse_unambiguous": true, "second_best_gap": 0.19999999977671878, "second_distance": 0.19999999980116656, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.4526248486441644e-11, "max_resolution_difference": 5.4365743703093175e-11, "omega_imag": -0.5000000000046669, "omega_real": 0.9949874370785241, "outgoing_phase_residual": 1.9245008677769597e-07, "pencil_residual": 4.316706954112492e-16, "reference_difference": 0.40000000000466696, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.8436483886784695e-14, "unfactored_residual": 1.751415921084106e-14 }, { "N": 28, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 2.6361908180460777e-15, "failure_reasons": [], "horizon_row_residual": 1.7410611257280604e-13, "infinity_row_residual": 4.543431774058298e-13, "ingoing_phase_residual": 1.9999999995374e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.2738395650764614e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j2", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2738395650764614e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j2", "reverse_second_best_gap": 0.20000000000047427, "reverse_second_distance": 0.200000000000487, "reverse_unambiguous": true, "second_best_gap": 0.20000000000004958, "second_distance": 0.20000000000006232, "unambiguous": true }, { "best_distance": 8.6633973069312e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j1", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.6633973069312e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j2", "reverse_second_best_gap": 0.20000000000032378, "reverse_second_distance": 0.2000000000004104, "reverse_unambiguous": true, "second_best_gap": 0.20000000000128093, "second_distance": 0.20000000000136756, "unambiguous": true }, { "best_distance": 3.8649041074415073e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j1", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.8649041074415073e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j2", "reverse_second_best_gap": 0.20000000000045554, "reverse_second_distance": 0.20000000000049417, "reverse_unambiguous": true, "second_best_gap": 0.2000000000004026, "second_distance": 0.20000000000044124, "unambiguous": true }, { "best_distance": 2.1924625322972245e-14, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j3", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.1924625322972245e-14, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j2", "reverse_second_best_gap": 0.20000000000045154, "reverse_second_distance": 0.20000000000047347, "reverse_unambiguous": true, "second_best_gap": 0.2000000000003158, "second_distance": 0.2000000000003377, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.8649041074415073e-14, "max_resolution_difference": 8.6633973069312e-14, "omega_imag": -0.09999999999999151, "omega_real": 0.9949874371066291, "outgoing_phase_residual": 1.9999999995512779e-07, "pencil_residual": 7.848009368432644e-16, "reference_difference": 1.2450471853060022e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.046782361711082e-13, "unfactored_residual": 4.1702208378150997e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 1.2398525278162632e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.3231204235172403e-14, "infinity_row_residual": 5.588442210436643e-14, "ingoing_phase_residual": 2.0000000076003964e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 4.330211674298153e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j3", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.330211674298153e-13, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j3", "reverse_second_best_gap": 0.1999999999996293, "reverse_second_distance": 0.20000000000006232, "reverse_unambiguous": true, "second_best_gap": 0.200000000000054, "second_distance": 0.200000000000487, "unambiguous": true }, { "best_distance": 8.738708893515535e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j2", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.738708893515535e-13, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j3", "reverse_second_best_gap": 0.20000000000049367, "reverse_second_distance": 0.20000000000136756, "reverse_unambiguous": true, "second_best_gap": 0.1999999999634864, "second_distance": 0.1999999999643603, "unambiguous": true }, { "best_distance": 1.5522526949210619e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j0", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5522526949210619e-12, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j3", "reverse_second_best_gap": 0.19999999999888898, "reverse_second_distance": 0.20000000000044124, "reverse_unambiguous": true, "second_best_gap": 0.19999999998740842, "second_distance": 0.19999999998896067, "unambiguous": true }, { "best_distance": 8.548484157622766e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j4", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.548484157622766e-13, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j3", "reverse_second_best_gap": 0.19999999999948287, "reverse_second_distance": 0.2000000000003377, "reverse_unambiguous": true, "second_best_gap": 0.19999999999961862, "second_distance": 0.20000000000047347, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5522526949210619e-12, "max_resolution_difference": 8.738708893515535e-13, "omega_imag": -0.3000000000004867, "omega_real": 0.9949874371068934, "outgoing_phase_residual": 2.000000009754201e-07, "pencil_residual": 4.73912108624699e-16, "reference_difference": 0.2000000000004867, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.95343793832494e-14, "unfactored_residual": 2.2609941772625188e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N28:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 4.197085219923105e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.374582802501457e-15, "infinity_row_residual": 8.069591955274767e-15, "ingoing_phase_residual": 1.6439897325923835e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.942890293094024e-14, "matching_checks": [ { "best_distance": 2.2759619781025563e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.9095836023552692e-14, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N24:c1.4:j0", "peer_configuration": [ "poschl-teller", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.2759619781025563e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j4", "reverse_second_best_gap": 0.19999997746537054, "reverse_second_distance": 0.20000000022499032, "reverse_unambiguous": true, "second_best_gap": 0.19999996237310805, "second_distance": 0.19999998513272782, "unambiguous": true }, { "best_distance": 4.260463110970389e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 3.907985046680551e-14, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j0", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.260463110970389e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j4", "reverse_second_best_gap": 0.19999996946428322, "reverse_second_distance": 0.20000001206891432, "reverse_unambiguous": true, "second_best_gap": 0.19999994300325252, "second_distance": 0.19999998560788362, "unambiguous": true }, { "best_distance": 2.663291645650722e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.942890293094024e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j4", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.663291645650722e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j4", "reverse_second_best_gap": 0.19999998184697773, "reverse_second_distance": 0.2000000084798942, "reverse_unambiguous": true, "second_best_gap": 0.1999999577443544, "second_distance": 0.19999998437727085, "unambiguous": true }, { "best_distance": 2.1136881854348266e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.8207657603852567e-14, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j1", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.1136881854348266e-08, "reverse_nearest_candidate_id": "poschl-teller:N28:c1.4:j4", "reverse_second_best_gap": 0.1999999762256121, "reverse_second_distance": 0.19999999736249396, "reverse_unambiguous": true, "second_best_gap": 0.19999996422271268, "second_distance": 0.19999998535959454, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.663291645650722e-08, "max_resolution_difference": 4.260463110970389e-08, "omega_imag": -0.8999999851654272, "omega_real": 0.994987454171467, "outgoing_phase_residual": 1.6439897322227698e-07, "pencil_residual": 3.5360767367751903e-16, "reference_difference": 0.7999999851654275, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.907985046680551e-14, "transformed_residual": 2.8350312395031004e-14, "unfactored_residual": 1.3634581592327397e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N32:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 9.645068133774152e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.086027294282817e-15, "infinity_row_residual": 4.303747057075573e-14, "ingoing_phase_residual": 1.796052933460401e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.921205820616832e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j3", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.921205820616832e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j0", "reverse_second_best_gap": 0.19999999902243823, "reverse_second_distance": 0.20000000094364406, "reverse_unambiguous": true, "second_best_gap": 0.19999999729801352, "second_distance": 0.19999999921921935, "unambiguous": true }, { "best_distance": 9.856731265878516e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 3.219646771412954e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j3", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.856731265878516e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j0", "reverse_second_best_gap": 0.1999999920358988, "reverse_second_distance": 0.20000000189263006, "reverse_unambiguous": true, "second_best_gap": 0.19999998950649733, "second_distance": 0.1999999993632286, "unambiguous": true }, { "best_distance": 1.5359821266356774e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j3", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5359821266356774e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j0", "reverse_second_best_gap": 0.19999999881514058, "reverse_second_distance": 0.2000000003511227, "reverse_unambiguous": true, "second_best_gap": 0.1999999847454274, "second_distance": 0.19999998628140953, "unambiguous": true }, { "best_distance": 4.3308523414538126e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j3", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.3308523414538126e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j0", "reverse_second_best_gap": 0.1999999992799461, "reverse_second_distance": 0.19999999971303134, "reverse_unambiguous": true, "second_best_gap": 0.1999999988107345, "second_distance": 0.19999999924381973, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5359821266356774e-09, "max_resolution_difference": 9.856731265878516e-09, "omega_imag": -0.6999999992086667, "omega_real": 0.9949874368555512, "outgoing_phase_residual": 1.796052932961896e-07, "pencil_residual": 5.291150279554078e-16, "reference_difference": 0.5999999992086668, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.219646771412954e-15, "transformed_residual": 2.9275707922418956e-14, "unfactored_residual": 2.1977153867770895e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N32:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 2.2926577011809367e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.08719988115388e-14, "infinity_row_residual": 4.5820139669675635e-14, "ingoing_phase_residual": 1.9245008671947429e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.5288677560164856e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j2", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5288677560164856e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j1", "reverse_second_best_gap": 0.19999999906633256, "reverse_second_distance": 0.19999999921921935, "reverse_unambiguous": true, "second_best_gap": 0.19999999969119345, "second_distance": 0.19999999984408023, "unambiguous": true }, { "best_distance": 2.2252769872446433e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j0", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.2252769872446433e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j1", "reverse_second_best_gap": 0.1999999991407009, "reverse_second_distance": 0.1999999993632286, "reverse_unambiguous": true, "second_best_gap": 0.19999999962524442, "second_distance": 0.19999999984777211, "unambiguous": true }, { "best_distance": 1.696976092906777e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j0", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.696976092906777e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j1", "reverse_second_best_gap": 0.1999999990247636, "reverse_second_distance": 0.1999999991944612, "reverse_unambiguous": true, "second_best_gap": 0.19999999967535023, "second_distance": 0.19999999984504785, "unambiguous": true }, { "best_distance": 1.2486207103375198e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j4", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2486207103375198e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j1", "reverse_second_best_gap": 0.19999999911895766, "reverse_second_distance": 0.19999999924381973, "reverse_unambiguous": true, "second_best_gap": 0.19999999958816927, "second_distance": 0.19999999971303134, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.696976092906777e-10, "max_resolution_difference": 2.2252769872446433e-10, "omega_imag": -0.499999999844513, "omega_real": 0.9949874370822172, "outgoing_phase_residual": 1.9245008665537552e-07, "pencil_residual": 5.139015296426984e-16, "reference_difference": 0.39999999984451295, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 5.271684103592787e-14, "unfactored_residual": 3.6647013890591374e-14 }, { "N": 32, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N32:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 1.0721391669918699e-15, "failure_reasons": [], "horizon_row_residual": 4.042696319051894e-13, "infinity_row_residual": 3.3784293951878395e-13, "ingoing_phase_residual": 2.000000000642058e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.759405371610599e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j1", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.759405371610599e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j2", "reverse_second_best_gap": 0.20000000000001988, "reverse_second_distance": 0.20000000000005747, "reverse_unambiguous": true, "second_best_gap": 0.20000000000036633, "second_distance": 0.2000000000004039, "unambiguous": true }, { "best_distance": 3.3322949802812557e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j2", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.3322949802812557e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j2", "reverse_second_best_gap": 0.19999999999998885, "reverse_second_distance": 0.2000000000000222, "reverse_unambiguous": true, "second_best_gap": 0.1999999999966787, "second_distance": 0.19999999999671203, "unambiguous": true }, { "best_distance": 3.0496851565117904e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j2", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.0496851565117904e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j2", "reverse_second_best_gap": 0.20000000000000606, "reverse_second_distance": 0.20000000000003657, "reverse_unambiguous": true, "second_best_gap": 0.1999999999994058, "second_distance": 0.1999999999994363, "unambiguous": true }, { "best_distance": 4.875514936276334e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j1", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.875514936276334e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j2", "reverse_second_best_gap": 0.19999999999992493, "reverse_second_distance": 0.1999999999999737, "reverse_unambiguous": true, "second_best_gap": 0.20000000000128146, "second_distance": 0.20000000000133022, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.875514936276334e-14, "max_resolution_difference": 3.759405371610599e-14, "omega_imag": -0.10000000000002886, "omega_real": 0.9949874371066001, "outgoing_phase_residual": 2.000000000655936e-07, "pencil_residual": 7.1086298859618e-16, "reference_difference": 3.503382870175248e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.4090600711336963e-13, "unfactored_residual": 6.122754156137381e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N32:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 5.374957233487139e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.282976556520641e-14, "infinity_row_residual": 6.488708582730283e-14, "ingoing_phase_residual": 2.0000000053355692e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.0122671873257374e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j0", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0122671873257374e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j3", "reverse_second_best_gap": 0.19999999984206795, "reverse_second_distance": 0.19999999984408023, "reverse_unambiguous": true, "second_best_gap": 0.1999999999873851, "second_distance": 0.19999999998939738, "unambiguous": true }, { "best_distance": 3.6229954623025357e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j1", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.6229954623025357e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j3", "reverse_second_best_gap": 0.19999999984414912, "reverse_second_distance": 0.19999999984777211, "reverse_unambiguous": true, "second_best_gap": 0.19999999984176514, "second_distance": 0.19999999984538813, "unambiguous": true }, { "best_distance": 1.8913724549358603e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j1", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8913724549358603e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j3", "reverse_second_best_gap": 0.19999999984315647, "reverse_second_distance": 0.19999999984504785, "reverse_unambiguous": true, "second_best_gap": 0.1999999999981452, "second_distance": 0.20000000000003657, "unambiguous": true }, { "best_distance": 1.3611164260962547e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j2", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.3611164260962547e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j3", "reverse_second_best_gap": 0.1999999998417928, "reverse_second_distance": 0.19999999984315392, "reverse_unambiguous": true, "second_best_gap": 0.1999999999634359, "second_distance": 0.199999999964797, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.8913724549358603e-12, "max_resolution_difference": 3.6229954623025357e-12, "omega_imag": -0.30000000000005, "omega_real": 0.9949874371073176, "outgoing_phase_residual": 2.0000000074893742e-07, "pencil_residual": 3.720214425949856e-16, "reference_difference": 0.20000000000005, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.1102229708587845e-14, "unfactored_residual": 3.144269797266846e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N32:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 3.1933690653262818e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.8229491321020737e-15, "infinity_row_residual": 2.964587355032792e-14, "ingoing_phase_residual": 1.6439895218669612e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 9.321432514752814e-13, "matching_checks": [ { "best_distance": 1.6626623547112777e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 8.752998326144734e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c0.7:j4", "peer_configuration": [ "poschl-teller", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.6626623547112777e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j4", "reverse_second_best_gap": 0.19999984228488207, "reverse_second_distance": 0.20000000855111755, "reverse_unambiguous": true, "second_best_gap": 0.19999998124248267, "second_distance": 0.20000014750871814, "unambiguous": true }, { "best_distance": 2.2373323747057066e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.5372147998959917e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j4", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.2373323747057066e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j4", "reverse_second_best_gap": 0.19999988744343553, "reverse_second_distance": 0.200000111176673, "reverse_unambiguous": true, "second_best_gap": 0.1999999228264912, "second_distance": 0.20000014655972867, "unambiguous": true }, { "best_distance": 1.830820696383467e-07, "edge_kind": "map", "eigenfunction_mismatch": 9.321432514752814e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j4", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.830820696383467e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j4", "reverse_second_best_gap": 0.19999980319933988, "reverse_second_distance": 0.19999998628140953, "reverse_unambiguous": true, "second_best_gap": 0.1999999650191698, "second_distance": 0.20000014810123945, "unambiguous": true }, { "best_distance": 1.7463070387897544e-07, "edge_kind": "map", "eigenfunction_mismatch": 8.923972671937008e-13, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j0", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.7463070387897544e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c0.7:j4", "reverse_second_best_gap": 0.19999983750943387, "reverse_second_distance": 0.20000001214013774, "reverse_unambiguous": true, "second_best_gap": 0.19999997410862733, "second_distance": 0.2000001487393312, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.830820696383467e-07, "max_resolution_difference": 2.2373323747057066e-07, "omega_imag": -0.9000001482968545, "omega_real": 0.9949875289185838, "outgoing_phase_residual": 1.6439895224053703e-07, "pencil_residual": 5.320785153700828e-16, "reference_difference": 0.8000001482968598, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.5372147998959917e-12, "transformed_residual": 4.5321267639266027e-14, "unfactored_residual": 2.0479115468219555e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 1.552932463031848e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.231971008037044e-14, "infinity_row_residual": 1.4471414808972767e-13, "ingoing_phase_residual": 1.9245008670344961e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.3822669817301508e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j2", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.3822669817301508e-11, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j0", "reverse_second_best_gap": 0.19999999998192602, "reverse_second_distance": 0.2000000000057487, "reverse_unambiguous": true, "second_best_gap": 0.1999999997678053, "second_distance": 0.19999999979162797, "unambiguous": true }, { "best_distance": 2.75461906348751e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j1", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.75461906348751e-11, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j0", "reverse_second_best_gap": 0.20000000001410612, "reverse_second_distance": 0.2000000000416523, "reverse_unambiguous": true, "second_best_gap": 0.19999999998700646, "second_distance": 0.20000000001455265, "unambiguous": true }, { "best_distance": 1.696976092906777e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j1", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.696976092906777e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j0", "reverse_second_best_gap": 0.19999999967535023, "reverse_second_distance": 0.19999999984504785, "reverse_unambiguous": true, "second_best_gap": 0.1999999990247636, "second_distance": 0.1999999991944612, "unambiguous": true }, { "best_distance": 6.029655549773395e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j4", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.029655549773395e-11, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j0", "reverse_second_best_gap": 0.19999999990508532, "reverse_second_distance": 0.19999999996538187, "reverse_unambiguous": true, "second_best_gap": 0.19999999948304226, "second_distance": 0.1999999995433388, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.696976092906777e-10, "max_resolution_difference": 2.75461906348751e-11, "omega_imag": -0.5000000000142055, "omega_real": 0.9949874370809052, "outgoing_phase_residual": 1.9245008677769597e-07, "pencil_residual": 1.4680011789184084e-15, "reference_difference": 0.40000000001420555, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.312420473644424e-14, "unfactored_residual": 1.7603821841885332e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 8.675496824142617e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.0568343856507385e-13, "infinity_row_residual": 1.8562933041712372e-13, "ingoing_phase_residual": 2.0000000075448853e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 2.37727188715019e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j4", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.37727188715019e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j1", "reverse_second_best_gap": 0.19999999999793852, "reverse_second_distance": 0.2000000000003158, "reverse_unambiguous": true, "second_best_gap": 0.19999999999707463, "second_distance": 0.1999999999994519, "unambiguous": true }, { "best_distance": 3.767670229734795e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j3", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.767670229734795e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j1", "reverse_second_best_gap": 0.19999999999587176, "reverse_second_distance": 0.19999999999963944, "reverse_unambiguous": true, "second_best_gap": 0.1999999999956388, "second_distance": 0.19999999999940649, "unambiguous": true }, { "best_distance": 1.8913724549358603e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j3", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8913724549358603e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j1", "reverse_second_best_gap": 0.1999999999981452, "reverse_second_distance": 0.20000000000003657, "reverse_unambiguous": true, "second_best_gap": 0.19999999984315647, "second_distance": 0.19999999984504785, "unambiguous": true }, { "best_distance": 2.370663178605199e-12, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j2", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.370663178605199e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j1", "reverse_second_best_gap": 0.19999999999897497, "reverse_second_distance": 0.20000000000134563, "reverse_unambiguous": true, "second_best_gap": 0.1999999999630112, "second_distance": 0.19999999996538187, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.370663178605199e-12, "max_resolution_difference": 3.767670229734795e-12, "omega_imag": -0.29999999999946514, "omega_real": 0.994987437105519, "outgoing_phase_residual": 2.000000008594032e-07, "pencil_residual": 1.0982144032174516e-15, "reference_difference": 0.19999999999946513, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 3.104429630706226e-14, "unfactored_residual": 1.7242647667393918e-14 }, { "N": 32, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 2.069164929307755e-15, "failure_reasons": [], "horizon_row_residual": 1.0439750809115403e-12, "infinity_row_residual": 1.2397378052548614e-12, "ingoing_phase_residual": 1.9999999995651557e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 5.665962729315857e-15, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j3", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.665962729315857e-15, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j2", "reverse_second_best_gap": 0.19999999999944623, "reverse_second_distance": 0.1999999999994519, "reverse_unambiguous": true, "second_best_gap": 0.20000000000031012, "second_distance": 0.2000000000003158, "unambiguous": true }, { "best_distance": 9.689739876130357e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j2", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.689739876130357e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j2", "reverse_second_best_gap": 0.1999999999993096, "reverse_second_distance": 0.19999999999940649, "reverse_unambiguous": true, "second_best_gap": 0.19999999999954254, "second_distance": 0.19999999999963944, "unambiguous": true }, { "best_distance": 3.0496851565117904e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j2", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.0496851565117904e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j2", "reverse_second_best_gap": 0.1999999999994058, "reverse_second_distance": 0.1999999999994363, "reverse_unambiguous": true, "second_best_gap": 0.20000000000000606, "second_distance": 0.20000000000003657, "unambiguous": true }, { "best_distance": 6.465417528038291e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j1", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.465417528038291e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j2", "reverse_second_best_gap": 0.1999999999993242, "reverse_second_distance": 0.19999999999938883, "reverse_unambiguous": true, "second_best_gap": 0.200000000001281, "second_distance": 0.20000000000134563, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.465417528038291e-14, "max_resolution_difference": 9.689739876130357e-14, "omega_imag": -0.10000000000001344, "omega_real": 0.9949874371066264, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 1.93483736810407e-15, "reference_difference": 1.4897273554299458e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 8.44904994112728e-14, "unfactored_residual": 4.50062731971242e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 1.1636496922132524e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.0469835672112058e-14, "infinity_row_residual": 3.099782687591826e-14, "ingoing_phase_residual": 1.7960529314713788e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.8337843059879747e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j0", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8337843059879747e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j3", "reverse_second_best_gap": 0.19999998385045845, "reverse_second_distance": 0.19999998568424276, "reverse_unambiguous": true, "second_best_gap": 0.19999999461296405, "second_distance": 0.19999999644674837, "unambiguous": true }, { "best_distance": 4.252219464752395e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j0", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.252219464752395e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j3", "reverse_second_best_gap": 0.1999999776161585, "reverse_second_distance": 0.19999998186837797, "reverse_unambiguous": true, "second_best_gap": 0.19999989402101587, "second_distance": 0.19999989827323533, "unambiguous": true }, { "best_distance": 1.5359821266356774e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j0", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5359821266356774e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j3", "reverse_second_best_gap": 0.1999999847454274, "reverse_second_distance": 0.19999998628140953, "reverse_unambiguous": true, "second_best_gap": 0.19999999881514058, "second_distance": 0.2000000003511227, "unambiguous": true }, { "best_distance": 1.1198797061974818e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j3", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1198797061974818e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j3", "reverse_second_best_gap": 0.1999999848126522, "reverse_second_distance": 0.1999999859325319, "reverse_unambiguous": true, "second_best_gap": 0.19999999911090896, "second_distance": 0.20000000023078868, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5359821266356774e-09, "max_resolution_difference": 4.252219464752395e-09, "omega_imag": -0.7000000001956357, "omega_real": 0.9949874380324681, "outgoing_phase_residual": 1.7960529319648862e-07, "pencil_residual": 5.649795209287935e-16, "reference_difference": 0.6000000001956357, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.046865461130555e-14, "unfactored_residual": 1.5363941774316548e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 1.7424712377309977e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.30365401819145e-15, "infinity_row_residual": 7.523329478109216e-14, "ingoing_phase_residual": 1.643989741704638e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.32032229172819e-13, "matching_checks": [ { "best_distance": 1.4177087629825736e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.887379141862766e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.0:j1", "peer_configuration": [ "poschl-teller", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4177087629825736e-08, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j4", "reverse_second_best_gap": 0.19999998226966073, "reverse_second_distance": 0.19999999644674837, "reverse_unambiguous": true, "second_best_gap": 0.19999997150715512, "second_distance": 0.19999998568424276, "unambiguous": true }, { "best_distance": 1.0056834061513683e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.454392162258955e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j4", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.0056834061513683e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j4", "reverse_second_best_gap": 0.1999997977048947, "reverse_second_distance": 0.19999989827323533, "reverse_unambiguous": true, "second_best_gap": 0.19999988130003735, "second_distance": 0.19999998186837797, "unambiguous": true }, { "best_distance": 1.830820696383467e-07, "edge_kind": "map", "eigenfunction_mismatch": 9.32032229172819e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j4", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.830820696383467e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j4", "reverse_second_best_gap": 0.1999999650191698, "reverse_second_distance": 0.20000014810123945, "reverse_unambiguous": true, "second_best_gap": 0.19999980319933988, "second_distance": 0.19999998628140953, "unambiguous": true }, { "best_distance": 3.569961989109445e-08, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-15, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j0", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.569961989109445e-08, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.0:j4", "reverse_second_best_gap": 0.19999997545354897, "reverse_second_distance": 0.20000001115316887, "reverse_unambiguous": true, "second_best_gap": 0.199999950232912, "second_distance": 0.1999999859325319, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.830820696383467e-07, "max_resolution_difference": 1.0056834061513683e-07, "omega_imag": -0.8999999854900761, "omega_real": 0.9949874451749444, "outgoing_phase_residual": 1.6439897406962058e-07, "pencil_residual": 1.4499145246696196e-15, "reference_difference": 0.7999999854900762, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.454392162258955e-14, "transformed_residual": 1.2613072100395604e-14, "unfactored_residual": 1.2725727315745133e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 2.6296078494711786e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.8500040684601996e-14, "infinity_row_residual": 3.0768080963600055e-14, "ingoing_phase_residual": 1.6439897500049367e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 8.923972671937008e-13, "matching_checks": [ { "best_distance": 4.260463110970389e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 3.907985046680551e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j4", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.260463110970389e-08, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j0", "reverse_second_best_gap": 0.19999994300325252, "reverse_second_distance": 0.19999998560788362, "reverse_unambiguous": true, "second_best_gap": 0.19999996946428322, "second_distance": 0.20000001206891432, "unambiguous": true }, { "best_distance": 8.381102352699394e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7219559111936178e-13, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j0", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.381102352699394e-08, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j0", "reverse_second_best_gap": 0.19999989191343154, "reverse_second_distance": 0.19999997572445508, "reverse_unambiguous": true, "second_best_gap": 0.19999992747587192, "second_distance": 0.20000001128689546, "unambiguous": true }, { "best_distance": 1.7463070387897544e-07, "edge_kind": "map", "eigenfunction_mismatch": 8.923972671937008e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j4", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.7463070387897544e-07, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j0", "reverse_second_best_gap": 0.19999997410862733, "reverse_second_distance": 0.2000001487393312, "reverse_unambiguous": true, "second_best_gap": 0.19999983750943387, "second_distance": 0.20000001214013774, "unambiguous": true }, { "best_distance": 3.569961989109445e-08, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j4", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.569961989109445e-08, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j0", "reverse_second_best_gap": 0.199999950232912, "reverse_second_distance": 0.1999999859325319, "reverse_unambiguous": true, "second_best_gap": 0.19999997545354897, "second_distance": 0.20000001115316887, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.7463070387897544e-07, "max_resolution_difference": 8.381102352699394e-08, "omega_imag": -0.9000000113488038, "omega_real": 0.9949874205621619, "outgoing_phase_residual": 1.6439897489965042e-07, "pencil_residual": 6.280534262259417e-16, "reference_difference": 0.8000000113488039, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.7219559111936178e-13, "transformed_residual": 3.339207130320268e-14, "unfactored_residual": 2.0215520314749162e-14 }, { "N": 32, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 4.1090182242850335e-15, "failure_reasons": [], "horizon_row_residual": 7.800840062659142e-13, "infinity_row_residual": 4.25715184073992e-13, "ingoing_phase_residual": 1.9999999995651557e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 8.6633973069312e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j2", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.6633973069312e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j1", "reverse_second_best_gap": 0.20000000000128093, "reverse_second_distance": 0.20000000000136756, "reverse_unambiguous": true, "second_best_gap": 0.20000000000032378, "second_distance": 0.2000000000004104, "unambiguous": true }, { "best_distance": 7.206806828637558e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j3", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.206806828637558e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j1", "reverse_second_best_gap": 0.20000000000126636, "reverse_second_distance": 0.20000000000133844, "reverse_unambiguous": true, "second_best_gap": 0.20000000000002163, "second_distance": 0.20000000000009371, "unambiguous": true }, { "best_distance": 4.875514936276334e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j2", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.875514936276334e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j1", "reverse_second_best_gap": 0.20000000000128146, "reverse_second_distance": 0.20000000000133022, "reverse_unambiguous": true, "second_best_gap": 0.19999999999992493, "second_distance": 0.1999999999999737, "unambiguous": true }, { "best_distance": 6.465417528038291e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j2", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.465417528038291e-14, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j1", "reverse_second_best_gap": 0.200000000001281, "reverse_second_distance": 0.20000000000134563, "reverse_unambiguous": true, "second_best_gap": 0.1999999999993242, "second_distance": 0.19999999999938883, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.465417528038291e-14, "max_resolution_difference": 8.6633973069312e-14, "omega_imag": -0.1000000000000763, "omega_real": 0.9949874371066113, "outgoing_phase_residual": 2.0000000017883493e-07, "pencil_residual": 1.0566326182557497e-15, "reference_difference": 7.678992704820266e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 9.811072392830632e-14, "unfactored_residual": 6.347769227374902e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 7.295317309352969e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.855391216406837e-14, "infinity_row_residual": 4.5269929494090324e-14, "ingoing_phase_residual": 2.0000000076559077e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 8.738708893515535e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j3", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.738708893515535e-13, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j2", "reverse_second_best_gap": 0.1999999999634864, "reverse_second_distance": 0.1999999999643603, "reverse_unambiguous": true, "second_best_gap": 0.20000000000049367, "second_distance": 0.20000000000136756, "unambiguous": true }, { "best_distance": 2.042646540506918e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j4", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.042646540506918e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j2", "reverse_second_best_gap": 0.19999999996263434, "reverse_second_distance": 0.199999999964677, "reverse_unambiguous": true, "second_best_gap": 0.1999999999992958, "second_distance": 0.20000000000133844, "unambiguous": true }, { "best_distance": 1.3611164260962547e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j3", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.3611164260962547e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j2", "reverse_second_best_gap": 0.1999999999634359, "reverse_second_distance": 0.199999999964797, "reverse_unambiguous": true, "second_best_gap": 0.1999999998417928, "second_distance": 0.19999999984315392, "unambiguous": true }, { "best_distance": 2.370663178605199e-12, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j1", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.370663178605199e-12, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j2", "reverse_second_best_gap": 0.1999999999630112, "reverse_second_distance": 0.19999999996538187, "reverse_unambiguous": true, "second_best_gap": 0.19999999999897497, "second_distance": 0.20000000000134563, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.370663178605199e-12, "max_resolution_difference": 2.042646540506918e-12, "omega_imag": -0.30000000000135907, "omega_real": 0.9949874371069448, "outgoing_phase_residual": 2.0000000075448853e-07, "pencil_residual": 5.248893398610271e-16, "reference_difference": 0.20000000000135906, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.0306936456990874e-14, "unfactored_residual": 2.6444284822199566e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 1.2929814027796854e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.320635406344747e-15, "infinity_row_residual": 2.4423764766195905e-14, "ingoing_phase_residual": 1.7960529324683888e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 5.628327541631023e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j0", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.628327541631023e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j3", "reverse_second_best_gap": 0.19999999875221033, "reverse_second_distance": 0.1999999993150431, "reverse_unambiguous": true, "second_best_gap": 0.19999998504505087, "second_distance": 0.19999998560788362, "unambiguous": true }, { "best_distance": 1.783090719637467e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j1", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.783090719637467e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j3", "reverse_second_best_gap": 0.19999999831397114, "reverse_second_distance": 0.20000000009706187, "reverse_unambiguous": true, "second_best_gap": 0.19999997394136435, "second_distance": 0.19999997572445508, "unambiguous": true }, { "best_distance": 4.3308523414538126e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j0", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.3308523414538126e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j3", "reverse_second_best_gap": 0.1999999988107345, "reverse_second_distance": 0.19999999924381973, "reverse_unambiguous": true, "second_best_gap": 0.1999999992799461, "second_distance": 0.19999999971303134, "unambiguous": true }, { "best_distance": 1.1198797061974818e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j3", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1198797061974818e-09, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j3", "reverse_second_best_gap": 0.19999999911090896, "reverse_second_distance": 0.20000000023078868, "reverse_unambiguous": true, "second_best_gap": 0.1999999848126522, "second_distance": 0.1999999859325319, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1198797061974818e-09, "max_resolution_difference": 1.783090719637467e-09, "omega_imag": -0.6999999995575443, "omega_real": 0.9949874371121584, "outgoing_phase_residual": 1.796052932961896e-07, "pencil_residual": 3.823963894973968e-16, "reference_difference": 0.5999999995575444, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 3.164121155278425e-14, "unfactored_residual": 2.1299204506615e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N32:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 2.0736972611762065e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.0303935889477732e-14, "infinity_row_residual": 6.79582744481101e-14, "ingoing_phase_residual": 1.9245008656510446e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 5.4365743703093175e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N28:c1.4:j1", "peer_configuration": [ "poschl-teller", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.4365743703093175e-11, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j4", "reverse_second_best_gap": 0.19999999949851166, "reverse_second_distance": 0.1999999995528774, "reverse_unambiguous": true, "second_best_gap": 0.19999999926067735, "second_distance": 0.1999999993150431, "unambiguous": true }, { "best_distance": 7.123984827225504e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j2", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.123984827225504e-11, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j4", "reverse_second_best_gap": 0.1999999994508755, "reverse_second_distance": 0.19999999952211533, "reverse_unambiguous": true, "second_best_gap": 0.19999999989343714, "second_distance": 0.199999999964677, "unambiguous": true }, { "best_distance": 1.2486207103375198e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j1", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2486207103375198e-10, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j4", "reverse_second_best_gap": 0.19999999958816927, "reverse_second_distance": 0.19999999971303134, "reverse_unambiguous": true, "second_best_gap": 0.19999999911895766, "second_distance": 0.19999999924381973, "unambiguous": true }, { "best_distance": 6.029655549773395e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j0", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.029655549773395e-11, "reverse_nearest_candidate_id": "poschl-teller:N32:c1.4:j4", "reverse_second_best_gap": 0.19999999948304226, "reverse_second_distance": 0.1999999995433388, "reverse_unambiguous": true, "second_best_gap": 0.19999999990508532, "second_distance": 0.19999999996538187, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.2486207103375198e-10, "max_resolution_difference": 7.123984827225504e-11, "omega_imag": -0.499999999964847, "omega_real": 0.9949874371155377, "outgoing_phase_residual": 1.9245008674564657e-07, "pencil_residual": 6.673146981765975e-16, "reference_difference": 0.39999999996484703, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 3.830788650411186e-14, "unfactored_residual": 3.1411150602547797e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N36:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 4.233988864313078e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.337744436513947e-14, "infinity_row_residual": 3.1168853201722054e-13, "ingoing_phase_residual": 1.9245008668742491e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.2252769872446433e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j1", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.2252769872446433e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j0", "reverse_second_best_gap": 0.19999999962524442, "reverse_second_distance": 0.19999999984777211, "reverse_unambiguous": true, "second_best_gap": 0.1999999991407009, "second_distance": 0.1999999993632286, "unambiguous": true }, { "best_distance": 2.761077146022762e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j0", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.761077146022762e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j0", "reverse_second_best_gap": 0.19999999930155335, "reverse_second_distance": 0.19999999957766107, "reverse_unambiguous": true, "second_best_gap": 0.19999999957410966, "second_distance": 0.19999999985021738, "unambiguous": true }, { "best_distance": 2.9096435906102694e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j1", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.9096435906102694e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j0", "reverse_second_best_gap": 0.1999999997534122, "reverse_second_distance": 0.20000000004437657, "reverse_unambiguous": true, "second_best_gap": 0.1999999995548209, "second_distance": 0.19999999984578526, "unambiguous": true }, { "best_distance": 3.109737190938887e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j2", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.109737190938887e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j0", "reverse_second_best_gap": 0.1999999997277144, "reverse_second_distance": 0.20000000003868812, "reverse_unambiguous": true, "second_best_gap": 0.1999999995342944, "second_distance": 0.19999999984526812, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.109737190938887e-10, "max_resolution_difference": 2.761077146022762e-10, "omega_imag": -0.49999999984543814, "omega_real": 0.9949874368596914, "outgoing_phase_residual": 1.9245008676167127e-07, "pencil_residual": 1.9272887611041395e-15, "reference_difference": 0.3999999998454381, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 4.8795426481960926e-14, "unfactored_residual": 2.687230515129489e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N36:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 4.3137571121237854e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.490262892235825e-15, "infinity_row_residual": 3.909151687266234e-13, "ingoing_phase_residual": 2.0000000076003964e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.6229954623025357e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j3", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.6229954623025357e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j1", "reverse_second_best_gap": 0.19999999984176514, "reverse_second_distance": 0.19999999984538813, "reverse_unambiguous": true, "second_best_gap": 0.19999999984414912, "second_distance": 0.19999999984777211, "unambiguous": true }, { "best_distance": 3.1387932892365963e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j1", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.1387932892365963e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j1", "reverse_second_best_gap": 0.19999999984707859, "reverse_second_distance": 0.19999999985021738, "reverse_unambiguous": true, "second_best_gap": 0.19999999957452227, "second_distance": 0.19999999957766107, "unambiguous": true }, { "best_distance": 4.506546760599309e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j3", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.506546760599309e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j1", "reverse_second_best_gap": 0.19999999984127872, "reverse_second_distance": 0.19999999984578526, "reverse_unambiguous": true, "second_best_gap": 0.1999999999921757, "second_distance": 0.19999999999668222, "unambiguous": true }, { "best_distance": 4.4038494942376165e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j4", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.4038494942376165e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j1", "reverse_second_best_gap": 0.19999999984086428, "reverse_second_distance": 0.19999999984526812, "reverse_unambiguous": true, "second_best_gap": 0.1999999999923164, "second_distance": 0.19999999999672025, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.506546760599309e-12, "max_resolution_difference": 3.6229954623025357e-12, "omega_imag": -0.2999999999967409, "omega_real": 0.9949874371058426, "outgoing_phase_residual": 2.000000008594032e-07, "pencil_residual": 1.309978570016029e-15, "reference_difference": 0.19999999999674087, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.9673111844469666e-14, "unfactored_residual": 3.066969002685117e-14 }, { "N": 36, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N36:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 2.7487619974810994e-15, "failure_reasons": [], "horizon_row_residual": 2.8560063238617753e-13, "infinity_row_residual": 2.571925131169815e-12, "ingoing_phase_residual": 1.999999998432742e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.3322949802812557e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j2", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.3322949802812557e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j2", "reverse_second_best_gap": 0.1999999999966787, "reverse_second_distance": 0.19999999999671203, "reverse_unambiguous": true, "second_best_gap": 0.19999999999998885, "second_distance": 0.2000000000000222, "unambiguous": true }, { "best_distance": 4.29122226133698e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j2", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.29122226133698e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j2", "reverse_second_best_gap": 0.19999999999663892, "reverse_second_distance": 0.19999999999668183, "reverse_unambiguous": true, "second_best_gap": 0.19999999999515003, "second_distance": 0.19999999999519294, "unambiguous": true }, { "best_distance": 9.769335829176212e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j2", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.769335829176212e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j2", "reverse_second_best_gap": 0.19999999999658452, "reverse_second_distance": 0.19999999999668222, "reverse_unambiguous": true, "second_best_gap": 0.19999999999952736, "second_distance": 0.19999999999962506, "unambiguous": true }, { "best_distance": 2.4720298172052817e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j3", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.4720298172052817e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j2", "reverse_second_best_gap": 0.19999999999669552, "reverse_second_distance": 0.19999999999672025, "reverse_unambiguous": true, "second_best_gap": 0.20000000000011747, "second_distance": 0.2000000000001422, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.769335829176212e-14, "max_resolution_difference": 4.29122226133698e-14, "omega_imag": -0.10000000000002782, "omega_real": 0.9949874371066334, "outgoing_phase_residual": 2.000000000655936e-07, "pencil_residual": 1.9881574508248424e-15, "reference_difference": 3.0885608382785266e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.4564958658040485e-13, "unfactored_residual": 8.67243683027533e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N36:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 9.417534104078012e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.653156437999061e-15, "infinity_row_residual": 1.7773598273684058e-13, "ingoing_phase_residual": 1.7960529180617237e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 3.885780586188048e-15, "matching_checks": [ { "best_distance": 9.856731265878516e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 3.219646771412954e-15, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j0", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.856731265878516e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j3", "reverse_second_best_gap": 0.19999998950649733, "reverse_second_distance": 0.1999999993632286, "reverse_unambiguous": true, "second_best_gap": 0.1999999920358988, "second_distance": 0.20000000189263006, "unambiguous": true }, { "best_distance": 9.379904345824429e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j3", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.379904345824429e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j3", "reverse_second_best_gap": 0.1999999994025759, "reverse_second_distance": 0.20000000878248025, "reverse_unambiguous": true, "second_best_gap": 0.19999999278283676, "second_distance": 0.2000000021627411, "unambiguous": true }, { "best_distance": 1.1030789524558946e-08, "edge_kind": "map", "eigenfunction_mismatch": 3.885780586188048e-15, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j0", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1030789524558946e-08, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j3", "reverse_second_best_gap": 0.19999999274547067, "reverse_second_distance": 0.2000000037762602, "reverse_unambiguous": true, "second_best_gap": 0.19999988570093644, "second_distance": 0.19999989673172597, "unambiguous": true }, { "best_distance": 1.1107626238100663e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.9984014443252818e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j1", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1107626238100663e-08, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j3", "reverse_second_best_gap": 0.1999999891088445, "reverse_second_distance": 0.20000000021647074, "reverse_unambiguous": true, "second_best_gap": 0.1999999624372348, "second_distance": 0.19999997354486104, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1107626238100663e-08, "max_resolution_difference": 9.856731265878516e-09, "omega_imag": -0.7000000017371428, "omega_real": 0.9949874463824584, "outgoing_phase_residual": 1.7960529195472426e-07, "pencil_residual": 1.6505870402909524e-15, "reference_difference": 0.600000001737143, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.219646771412954e-15, "transformed_residual": 3.066138323208698e-14, "unfactored_residual": 1.9720888416350907e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N36:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 2.988217504500389e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.408986944569617e-15, "infinity_row_residual": 1.2001394154334235e-13, "ingoing_phase_residual": 1.643989307717315e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 3.449796004417749e-12, "matching_checks": [ { "best_distance": 2.2373323747057066e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.5372147998959917e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c0.7:j4", "peer_configuration": [ "poschl-teller", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.2373323747057066e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j4", "reverse_second_best_gap": 0.1999999228264912, "reverse_second_distance": 0.20000014655972867, "reverse_unambiguous": true, "second_best_gap": 0.19999988744343553, "second_distance": 0.200000111176673, "unambiguous": true }, { "best_distance": 5.61846342766173e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1713741088215102e-11, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j4", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.61846342766173e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j4", "reverse_second_best_gap": 0.19999985121825917, "reverse_second_distance": 0.20000041306460192, "reverse_unambiguous": true, "second_best_gap": 0.19999953991105499, "second_distance": 0.20000010175739774, "unambiguous": true }, { "best_distance": 3.30663279900164e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.449796004417749e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j4", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.30663279900164e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j4", "reverse_second_best_gap": 0.19999956606844607, "reverse_second_distance": 0.19999989673172597, "reverse_unambiguous": true, "second_best_gap": 0.19999977610036362, "second_distance": 0.20000010676364352, "unambiguous": true }, { "best_distance": 4.264732329780234e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.7942314300967155e-12, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j0", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.264732329780234e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c0.7:j4", "reverse_second_best_gap": 0.19999954707162806, "reverse_second_distance": 0.19999997354486104, "reverse_unambiguous": true, "second_best_gap": 0.1999996838502002, "second_distance": 0.20000011032343318, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.264732329780234e-07, "max_resolution_difference": 5.61846342766173e-07, "omega_imag": -0.9000001103850955, "omega_real": 0.994987749416339, "outgoing_phase_residual": 1.6439893067088832e-07, "pencil_residual": 1.4823342233611298e-15, "reference_difference": 0.8000001103851565, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1713741088215102e-11, "transformed_residual": 2.6346931985198612e-14, "unfactored_residual": 1.635137111151979e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 2.3423431212862242e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 6.51228451987008e-14, "infinity_row_residual": 8.345265097776842e-14, "ingoing_phase_residual": 1.7960529314863724e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.774758283725532e-15, "matching_checks": [ { "best_distance": 4.252219464752395e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j3", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.252219464752395e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j0", "reverse_second_best_gap": 0.19999989402101587, "reverse_second_distance": 0.19999989827323533, "reverse_unambiguous": true, "second_best_gap": 0.1999999776161585, "second_distance": 0.19999998186837797, "unambiguous": true }, { "best_distance": 7.279216476201056e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 5.551115123125783e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j1", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.279216476201056e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j0", "reverse_second_best_gap": 0.19999989345719127, "reverse_second_distance": 0.19999990073640775, "reverse_unambiguous": true, "second_best_gap": 0.19999999635151092, "second_distance": 0.2000000036307274, "unambiguous": true }, { "best_distance": 1.1030789524558946e-08, "edge_kind": "map", "eigenfunction_mismatch": 3.774758283725532e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j3", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1030789524558946e-08, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j0", "reverse_second_best_gap": 0.19999988570093644, "reverse_second_distance": 0.19999989673172597, "reverse_unambiguous": true, "second_best_gap": 0.19999999274547067, "second_distance": 0.2000000037762602, "unambiguous": true }, { "best_distance": 3.5615495983022034e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j1", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.5615495983022034e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j0", "reverse_second_best_gap": 0.1999998948454133, "reverse_second_distance": 0.19999989840696292, "reverse_unambiguous": true, "second_best_gap": 0.19999996809875073, "second_distance": 0.19999997166030034, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1030789524558946e-08, "max_resolution_difference": 7.279216476201056e-09, "omega_imag": -0.7000000036216983, "omega_real": 0.9949874355138445, "outgoing_phase_residual": 1.7960529339639038e-07, "pencil_residual": 1.0771430131400605e-15, "reference_difference": 0.6000000036216984, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.551115123125783e-16, "transformed_residual": 2.5848420699814254e-14, "unfactored_residual": 2.2073509542826896e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 2.105040819525059e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.768789226807001e-14, "infinity_row_residual": 3.88631000172671e-14, "ingoing_phase_residual": 1.9245008670344961e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.75461906348751e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j0", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.75461906348751e-11, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j1", "reverse_second_best_gap": 0.19999999998700646, "reverse_second_distance": 0.20000000001455265, "reverse_unambiguous": true, "second_best_gap": 0.20000000001410612, "second_distance": 0.2000000000416523, "unambiguous": true }, { "best_distance": 3.473532112356943e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j4", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.473532112356943e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j1", "reverse_second_best_gap": 0.19999999964396487, "reverse_second_distance": 0.19999999999131807, "reverse_unambiguous": true, "second_best_gap": 0.1999999973439948, "second_distance": 0.199999997691348, "unambiguous": true }, { "best_distance": 2.9096435906102694e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j0", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.9096435906102694e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j1", "reverse_second_best_gap": 0.1999999995548209, "reverse_second_distance": 0.19999999984578526, "reverse_unambiguous": true, "second_best_gap": 0.1999999997534122, "second_distance": 0.20000000004437657, "unambiguous": true }, { "best_distance": 3.137060003055257e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j2", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.137060003055257e-11, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j1", "reverse_second_best_gap": 0.20000000000440551, "reverse_second_distance": 0.20000000003577612, "reverse_unambiguous": true, "second_best_gap": 0.19999999998942083, "second_distance": 0.20000000002079144, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.9096435906102694e-10, "max_resolution_difference": 3.473532112356943e-10, "omega_imag": -0.5000000000411174, "omega_real": 0.994987437075028, "outgoing_phase_residual": 1.9245008677769597e-07, "pencil_residual": 5.040730080046747e-16, "reference_difference": 0.40000000004111746, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 3.686492593154332e-14, "unfactored_residual": 2.7923673074429494e-14 }, { "N": 36, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 1.9515478317670724e-15, "failure_reasons": [], "horizon_row_residual": 1.0816264170220339e-12, "infinity_row_residual": 1.5512676274976902e-12, "ingoing_phase_residual": 1.9999999995512779e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 9.689739876130357e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j2", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.689739876130357e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j2", "reverse_second_best_gap": 0.19999999999954254, "reverse_second_distance": 0.19999999999963944, "reverse_unambiguous": true, "second_best_gap": 0.1999999999993096, "second_distance": 0.19999999999940649, "unambiguous": true }, { "best_distance": 1.1792179646129102e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j2", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1792179646129102e-13, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j2", "reverse_second_best_gap": 0.19999999999959303, "reverse_second_distance": 0.19999999999971096, "reverse_unambiguous": true, "second_best_gap": 0.20000000000206522, "second_distance": 0.20000000000218315, "unambiguous": true }, { "best_distance": 9.769335829176212e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j2", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.769335829176212e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j2", "reverse_second_best_gap": 0.19999999999952736, "reverse_second_distance": 0.19999999999962506, "reverse_unambiguous": true, "second_best_gap": 0.19999999999658452, "second_distance": 0.19999999999668222, "unambiguous": true }, { "best_distance": 1.2240732477897695e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j3", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2240732477897695e-13, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j2", "reverse_second_best_gap": 0.19999999999950985, "reverse_second_distance": 0.19999999999963225, "reverse_unambiguous": true, "second_best_gap": 0.19999999999998896, "second_distance": 0.20000000000011137, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.2240732477897695e-13, "max_resolution_difference": 1.1792179646129102e-13, "omega_imag": -0.10000000000005864, "omega_real": 0.9949874371065407, "outgoing_phase_residual": 1.9999999995651557e-07, "pencil_residual": 1.68113215321992e-15, "reference_difference": 9.85983071137496e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 1.6256729928945457e-13, "unfactored_residual": 6.297973590356187e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 1.7506089212909348e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.7976706723890523e-13, "infinity_row_residual": 3.662539395859798e-13, "ingoing_phase_residual": 2.0000000064957384e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.767670229734795e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j1", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.767670229734795e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j3", "reverse_second_best_gap": 0.1999999999956388, "reverse_second_distance": 0.19999999999940649, "reverse_unambiguous": true, "second_best_gap": 0.19999999999587176, "second_distance": 0.19999999999963944, "unambiguous": true }, { "best_distance": 2.695086177271081e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j3", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.695086177271081e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j3", "reverse_second_best_gap": 0.19999999999948806, "reverse_second_distance": 0.20000000000218315, "reverse_unambiguous": true, "second_best_gap": 0.19999999998862297, "second_distance": 0.19999999999131807, "unambiguous": true }, { "best_distance": 4.506546760599309e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j1", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.506546760599309e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j3", "reverse_second_best_gap": 0.1999999999921757, "reverse_second_distance": 0.19999999999668222, "reverse_unambiguous": true, "second_best_gap": 0.19999999984127872, "second_distance": 0.19999999984578526, "unambiguous": true }, { "best_distance": 8.513119279529831e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j4", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.513119279529831e-13, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j3", "reverse_second_best_gap": 0.19999999999926005, "reverse_second_distance": 0.20000000000011137, "reverse_unambiguous": true, "second_best_gap": 0.19999999999878093, "second_distance": 0.19999999999963225, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.506546760599309e-12, "max_resolution_difference": 3.767670229734795e-12, "omega_imag": -0.2999999999996529, "omega_real": 0.994987437109282, "outgoing_phase_residual": 2.000000008649543e-07, "pencil_residual": 1.492926290380076e-15, "reference_difference": 0.19999999999965287, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 5.876993606669727e-14, "unfactored_residual": 5.0998271175545747e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 2.9229402476472027e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.173693488697822e-14, "infinity_row_residual": 1.968164215622859e-14, "ingoing_phase_residual": 1.6439897524815167e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.449796004417749e-12, "matching_checks": [ { "best_distance": 1.0056834061513683e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.454392162258955e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.0:j4", "peer_configuration": [ "poschl-teller", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.0056834061513683e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j4", "reverse_second_best_gap": 0.19999988130003735, "reverse_second_distance": 0.19999998186837797, "reverse_unambiguous": true, "second_best_gap": 0.1999997977048947, "second_distance": 0.19999989827323533, "unambiguous": true }, { "best_distance": 4.229305751940207e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 6.779021788361206e-13, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j0", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.229305751940207e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j4", "reverse_second_best_gap": 0.1999997983544695, "reverse_second_distance": 0.2000002212850447, "reverse_unambiguous": true, "second_best_gap": 0.19999947780583255, "second_distance": 0.19999990073640775, "unambiguous": true }, { "best_distance": 3.30663279900164e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.449796004417749e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j4", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.30663279900164e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j4", "reverse_second_best_gap": 0.19999977610036362, "reverse_second_distance": 0.20000010676364352, "reverse_unambiguous": true, "second_best_gap": 0.19999956606844607, "second_distance": 0.19999989673172597, "unambiguous": true }, { "best_distance": 1.6912725669932126e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.3362201889985954e-13, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j0", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.6912725669932126e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.0:j4", "reverse_second_best_gap": 0.19999980253304364, "reverse_second_distance": 0.19999997166030034, "reverse_unambiguous": true, "second_best_gap": 0.19999972927970622, "second_distance": 0.19999989840696292, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.30663279900164e-07, "max_resolution_difference": 4.229305751940207e-07, "omega_imag": -0.8999998984688627, "omega_real": 0.9949874955862483, "outgoing_phase_residual": 1.6439897523811079e-07, "pencil_residual": 5.33747266850177e-16, "reference_difference": 0.7999998984688649, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.779021788361206e-13, "transformed_residual": 3.13325912629548e-14, "unfactored_residual": 1.6069349746006357e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 1.4061955215918742e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.031615169717091e-14, "infinity_row_residual": 4.0960661910487275e-14, "ingoing_phase_residual": 1.6439898613775373e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.7942314300967155e-12, "matching_checks": [ { "best_distance": 8.381102352699394e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7219559111936178e-13, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j0", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.381102352699394e-08, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j0", "reverse_second_best_gap": 0.19999992747587192, "reverse_second_distance": 0.20000001128689546, "reverse_unambiguous": true, "second_best_gap": 0.19999989191343154, "second_distance": 0.19999997572445508, "unambiguous": true }, { "best_distance": 2.433083191647183e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.793765632868599e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j4", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.433083191647183e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j0", "reverse_second_best_gap": 0.1999996651380081, "reverse_second_distance": 0.19999990844632726, "reverse_unambiguous": true, "second_best_gap": 0.1999997296306183, "second_distance": 0.19999997293893745, "unambiguous": true }, { "best_distance": 4.264732329780234e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.7942314300967155e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j4", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.264732329780234e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j0", "reverse_second_best_gap": 0.1999996838502002, "reverse_second_distance": 0.20000011032343318, "reverse_unambiguous": true, "second_best_gap": 0.19999954707162806, "second_distance": 0.19999997354486104, "unambiguous": true }, { "best_distance": 1.6912725669932126e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.3362201889985954e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j4", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.6912725669932126e-07, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j0", "reverse_second_best_gap": 0.19999972927970622, "reverse_second_distance": 0.19999989840696292, "reverse_unambiguous": true, "second_best_gap": 0.19999980253304364, "second_distance": 0.19999997166030034, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.264732329780234e-07, "max_resolution_difference": 2.433083191647183e-07, "omega_imag": -0.8999999752819782, "omega_real": 0.9949873449085318, "outgoing_phase_residual": 1.643989860369105e-07, "pencil_residual": 5.899940205126727e-16, "reference_difference": 0.7999999752819835, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.7219559111936178e-13, "transformed_residual": 2.974572359233688e-14, "unfactored_residual": 1.9663616184823528e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 1.438673003565538e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.7222320067531293e-14, "infinity_row_residual": 6.393659568501079e-14, "ingoing_phase_residual": 1.7960529344574109e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.9984014443252818e-15, "matching_checks": [ { "best_distance": 1.783090719637467e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j3", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.783090719637467e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j1", "reverse_second_best_gap": 0.19999997394136435, "reverse_second_distance": 0.19999997572445508, "reverse_unambiguous": true, "second_best_gap": 0.19999999831397114, "second_distance": 0.20000000009706187, "unambiguous": true }, { "best_distance": 4.042768904765135e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j3", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.042768904765135e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j1", "reverse_second_best_gap": 0.19999996889616856, "reverse_second_distance": 0.19999997293893745, "reverse_unambiguous": true, "second_best_gap": 0.19999990440355836, "second_distance": 0.19999990844632726, "unambiguous": true }, { "best_distance": 1.1107626238100663e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.9984014443252818e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j3", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1107626238100663e-08, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j1", "reverse_second_best_gap": 0.1999999624372348, "reverse_second_distance": 0.19999997354486104, "reverse_unambiguous": true, "second_best_gap": 0.1999999891088445, "second_distance": 0.20000000021647074, "unambiguous": true }, { "best_distance": 3.5615495983022034e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j0", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.5615495983022034e-09, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j1", "reverse_second_best_gap": 0.19999996809875073, "reverse_second_distance": 0.19999997166030034, "reverse_unambiguous": true, "second_best_gap": 0.1999998948454133, "second_distance": 0.19999989840696292, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1107626238100663e-08, "max_resolution_difference": 4.042768904765135e-09, "omega_imag": -0.7000000000619089, "omega_real": 0.9949874354018868, "outgoing_phase_residual": 1.7960529349509182e-07, "pencil_residual": 6.705521278656848e-16, "reference_difference": 0.6000000000619089, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.4432899320127035e-15, "transformed_residual": 4.7606121026812495e-14, "unfactored_residual": 2.9831895820255844e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 1.5975236826815087e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.0263671558500746e-14, "infinity_row_residual": 8.814002828174741e-14, "ingoing_phase_residual": 1.9245008680974537e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 7.123984827225504e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j4", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.123984827225504e-11, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j2", "reverse_second_best_gap": 0.19999999989343714, "reverse_second_distance": 0.199999999964677, "reverse_unambiguous": true, "second_best_gap": 0.1999999994508755, "second_distance": 0.19999999952211533, "unambiguous": true }, { "best_distance": 1.582398335901488e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j0", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.582398335901488e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j2", "reverse_second_best_gap": 0.19999999983360808, "reverse_second_distance": 0.19999999999184792, "reverse_unambiguous": true, "second_best_gap": 0.19999999987689096, "second_distance": 0.2000000000351308, "unambiguous": true }, { "best_distance": 3.109737190938887e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j0", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.109737190938887e-10, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j2", "reverse_second_best_gap": 0.1999999995342944, "reverse_second_distance": 0.19999999984526812, "reverse_unambiguous": true, "second_best_gap": 0.1999999997277144, "second_distance": 0.20000000003868812, "unambiguous": true }, { "best_distance": 3.137060003055257e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j1", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.137060003055257e-11, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j2", "reverse_second_best_gap": 0.19999999998942083, "reverse_second_distance": 0.20000000002079144, "reverse_unambiguous": true, "second_best_gap": 0.20000000000440551, "second_distance": 0.20000000003577612, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.109737190938887e-10, "max_resolution_difference": 1.582398335901488e-10, "omega_imag": -0.500000000035429, "omega_real": 0.9949874371058786, "outgoing_phase_residual": 1.9245008688399172e-07, "pencil_residual": 6.285781053827763e-16, "reference_difference": 0.400000000035429, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.746861285659048e-14, "unfactored_residual": 3.24002566424234e-14 }, { "N": 36, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 1.0180982687235884e-15, "failure_reasons": [], "horizon_row_residual": 5.835031428950964e-13, "infinity_row_residual": 7.648076891272734e-13, "ingoing_phase_residual": 1.9999999995651557e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 7.206806828637558e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j1", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.206806828637558e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j3", "reverse_second_best_gap": 0.20000000000002163, "reverse_second_distance": 0.20000000000009371, "reverse_unambiguous": true, "second_best_gap": 0.20000000000126636, "second_distance": 0.20000000000133844, "unambiguous": true }, { "best_distance": 8.69970004538039e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j2", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.69970004538039e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j3", "reverse_second_best_gap": 0.20000000000014917, "reverse_second_distance": 0.20000000000023616, "reverse_unambiguous": true, "second_best_gap": 0.20000000000019058, "second_distance": 0.20000000000027757, "unambiguous": true }, { "best_distance": 2.4720298172052817e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j2", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.4720298172052817e-14, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j3", "reverse_second_best_gap": 0.20000000000011747, "reverse_second_distance": 0.2000000000001422, "reverse_unambiguous": true, "second_best_gap": 0.19999999999669552, "second_distance": 0.19999999999672025, "unambiguous": true }, { "best_distance": 1.2240732477897695e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j2", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.2240732477897695e-13, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j3", "reverse_second_best_gap": 0.19999999999998896, "reverse_second_distance": 0.20000000000011137, "reverse_unambiguous": true, "second_best_gap": 0.19999999999950985, "second_distance": 0.19999999999963225, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.2240732477897695e-13, "max_resolution_difference": 8.69970004538039e-14, "omega_imag": -0.10000000000002061, "omega_real": 0.994987437106657, "outgoing_phase_residual": 1.9999999995790335e-07, "pencil_residual": 8.075309224082607e-16, "reference_difference": 4.242339858813688e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 9.602161350560372e-14, "unfactored_residual": 7.435803454713017e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N36:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 7.616517255318724e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.6131110502398048e-13, "infinity_row_residual": 1.7350174566127e-13, "ingoing_phase_residual": 2.0000000075448853e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.042646540506918e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N32:c1.4:j2", "peer_configuration": [ "poschl-teller", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.042646540506918e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j4", "reverse_second_best_gap": 0.1999999999992958, "reverse_second_distance": 0.20000000000133844, "reverse_unambiguous": true, "second_best_gap": 0.19999999996263434, "second_distance": 0.199999999964677, "unambiguous": true }, { "best_distance": 3.3191560472955886e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j1", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.3191560472955886e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j4", "reverse_second_best_gap": 0.19999999999695842, "reverse_second_distance": 0.20000000000027757, "reverse_unambiguous": true, "second_best_gap": 0.199999999996917, "second_distance": 0.20000000000023616, "unambiguous": true }, { "best_distance": 4.4038494942376165e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j1", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.4038494942376165e-12, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j4", "reverse_second_best_gap": 0.1999999999923164, "reverse_second_distance": 0.19999999999672025, "reverse_unambiguous": true, "second_best_gap": 0.19999999984086428, "second_distance": 0.19999999984526812, "unambiguous": true }, { "best_distance": 8.513119279529831e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j3", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.513119279529831e-13, "reverse_nearest_candidate_id": "poschl-teller:N36:c1.4:j4", "reverse_second_best_gap": 0.19999999999878093, "reverse_second_distance": 0.19999999999963225, "reverse_unambiguous": true, "second_best_gap": 0.19999999999926005, "second_distance": 0.20000000000011137, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.4038494942376165e-12, "max_resolution_difference": 3.3191560472955886e-12, "omega_imag": -0.30000000000017, "omega_real": 0.9949874371086057, "outgoing_phase_residual": 2.000000008594032e-07, "pencil_residual": 8.341969347131366e-16, "reference_difference": 0.20000000000017001, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 3.980622790762207e-14, "unfactored_residual": 4.0431376082537856e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N40:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 3.0767036859189553e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.673517632209642e-14, "infinity_row_residual": 2.8298765724830315e-13, "ingoing_phase_residual": 1.9245008679372067e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 2.761077146022762e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j0", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.761077146022762e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j0", "reverse_second_best_gap": 0.19999999957410966, "reverse_second_distance": 0.19999999985021738, "reverse_unambiguous": true, "second_best_gap": 0.19999999930155335, "second_distance": 0.19999999957766107, "unambiguous": true }, { "best_distance": 1.2729597256501584e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j4", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2729597256501584e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j0", "reverse_second_best_gap": 0.19999999798842433, "reverse_second_distance": 0.19999999926138406, "reverse_unambiguous": true, "second_best_gap": 0.19999997463836927, "second_distance": 0.199999975911329, "unambiguous": true }, { "best_distance": 6.557015539270791e-10, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j4", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.557015539270791e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j0", "reverse_second_best_gap": 0.19999999934004864, "reverse_second_distance": 0.1999999999957502, "reverse_unambiguous": true, "second_best_gap": 0.19999999750236194, "second_distance": 0.1999999981580635, "unambiguous": true }, { "best_distance": 4.971993497338354e-10, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j0", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.971993497338354e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j0", "reverse_second_best_gap": 0.19999999957764086, "reverse_second_distance": 0.2000000000748402, "reverse_unambiguous": true, "second_best_gap": 0.1999999990769044, "second_distance": 0.19999999957410375, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.557015539270791e-10, "max_resolution_difference": 1.2729597256501584e-09, "omega_imag": -0.49999999957440194, "omega_real": 0.9949874369123682, "outgoing_phase_residual": 1.9245008686796702e-07, "pencil_residual": 1.3649833220168284e-15, "reference_difference": 0.3999999995744019, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 9.080078253604656e-14, "unfactored_residual": 4.390182075046659e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N40:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 1.3180979601144762e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.7504976457592234e-14, "infinity_row_residual": 1.7604766682361587e-13, "ingoing_phase_residual": 2.0000000053355692e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.1387932892365963e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j1", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.1387932892365963e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j1", "reverse_second_best_gap": 0.19999999957452227, "reverse_second_distance": 0.19999999957766107, "reverse_unambiguous": true, "second_best_gap": 0.19999999984707859, "second_distance": 0.19999999985021738, "unambiguous": true }, { "best_distance": 9.088730289055838e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j3", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.088730289055838e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j1", "reverse_second_best_gap": 0.19999999956227854, "reverse_second_distance": 0.19999999957136727, "reverse_unambiguous": true, "second_best_gap": 0.19999999925229534, "second_distance": 0.19999999926138406, "unambiguous": true }, { "best_distance": 8.879815153635187e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j3", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.879815153635187e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j1", "reverse_second_best_gap": 0.19999999956328032, "reverse_second_distance": 0.19999999957216014, "reverse_unambiguous": true, "second_best_gap": 0.19999999998639903, "second_distance": 0.19999999999527884, "unambiguous": true }, { "best_distance": 5.530622574691176e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j1", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.530622574691176e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j1", "reverse_second_best_gap": 0.19999999956857312, "reverse_second_distance": 0.19999999957410375, "reverse_unambiguous": true, "second_best_gap": 0.19999999998975626, "second_distance": 0.1999999999952869, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 8.879815153635187e-12, "max_resolution_difference": 9.088730289055838e-12, "omega_imag": -0.29999999999522076, "omega_real": 0.9949874371030965, "outgoing_phase_residual": 2.0000000063847162e-07, "pencil_residual": 6.407619562189373e-16, "reference_difference": 0.19999999999522075, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 8.092378299219017e-14, "unfactored_residual": 6.20126488086075e-14 }, { "N": 40, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N40:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 2.8390228586875173e-15, "failure_reasons": [], "horizon_row_residual": 8.300191797382635e-13, "infinity_row_residual": 4.144583908737259e-12, "ingoing_phase_residual": 2.000000000642058e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 4.29122226133698e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j2", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.29122226133698e-14, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j2", "reverse_second_best_gap": 0.19999999999515003, "reverse_second_distance": 0.19999999999519294, "reverse_unambiguous": true, "second_best_gap": 0.19999999999663892, "second_distance": 0.19999999999668183, "unambiguous": true }, { "best_distance": 1.3493503755631797e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j2", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.3493503755631797e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j2", "reverse_second_best_gap": 0.19999999999512647, "reverse_second_distance": 0.1999999999952614, "reverse_unambiguous": true, "second_best_gap": 0.20000000000284068, "second_distance": 0.20000000000297563, "unambiguous": true }, { "best_distance": 1.5763808675981563e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j2", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5763808675981563e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j2", "reverse_second_best_gap": 0.1999999999951212, "reverse_second_distance": 0.19999999999527884, "reverse_unambiguous": true, "second_best_gap": 0.2000000000020251, "second_distance": 0.20000000000218277, "unambiguous": true }, { "best_distance": 1.2519393598164233e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j2", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2519393598164233e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j2", "reverse_second_best_gap": 0.1999999999951617, "reverse_second_distance": 0.1999999999952869, "reverse_unambiguous": true, "second_best_gap": 0.20000000000011395, "second_distance": 0.20000000000023915, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5763808675981563e-13, "max_resolution_difference": 1.3493503755631797e-13, "omega_imag": -0.10000000000005906, "omega_real": 0.9949874371066628, "outgoing_phase_residual": 2.000000000655936e-07, "pencil_residual": 2.5212480419144897e-15, "reference_difference": 7.296176032894933e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.9639021905314916e-13, "unfactored_residual": 9.297722071546109e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N40:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 1.6017292931607414e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.316323846583362e-14, "infinity_row_residual": 5.672983505021502e-14, "ingoing_phase_residual": 1.7960529041685564e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.2545520178264269e-14, "matching_checks": [ { "best_distance": 9.379904345824429e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j3", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.379904345824429e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j3", "reverse_second_best_gap": 0.19999999278283676, "reverse_second_distance": 0.2000000021627411, "reverse_unambiguous": true, "second_best_gap": 0.1999999994025759, "second_distance": 0.20000000878248025, "unambiguous": true }, { "best_distance": 3.873076586009643e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 4.030109579389318e-14, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j1", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.873076586009643e-08, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j3", "reverse_second_best_gap": 0.19999993718056314, "reverse_second_distance": 0.199999975911329, "reverse_unambiguous": true, "second_best_gap": 0.19999997064054761, "second_distance": 0.2000000093713135, "unambiguous": true }, { "best_distance": 2.4112826881841524e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.0103029524088925e-14, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j1", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.4112826881841524e-08, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j3", "reverse_second_best_gap": 0.19999997404523662, "reverse_second_distance": 0.1999999981580635, "reverse_unambiguous": true, "second_best_gap": 0.19999998452412054, "second_distance": 0.20000000863694742, "unambiguous": true }, { "best_distance": 1.535220047728035e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.2545520178264269e-14, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j3", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.535220047728035e-08, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j3", "reverse_second_best_gap": 0.19999998741646027, "reverse_second_distance": 0.20000000276866076, "reverse_unambiguous": true, "second_best_gap": 0.19999988452810616, "second_distance": 0.19999989988030664, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.4112826881841524e-08, "max_resolution_difference": 3.873076586009643e-08, "omega_imag": -0.7000000086279178, "omega_real": 0.9949874527464058, "outgoing_phase_residual": 1.7960529046620634e-07, "pencil_residual": 5.217106073131903e-16, "reference_difference": 0.600000008627918, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.030109579389318e-14, "transformed_residual": 3.5402166606295e-14, "unfactored_residual": 2.960969146098767e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N40:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 3.2896175558158956e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.0083378354494944e-14, "infinity_row_residual": 1.1480856536057236e-13, "ingoing_phase_residual": 1.6439885489122376e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 3.460687292289322e-11, "matching_checks": [ { "best_distance": 5.61846342766173e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1713741088215102e-11, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c0.7:j4", "peer_configuration": [ "poschl-teller", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.61846342766173e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j4", "reverse_second_best_gap": 0.19999953991105499, "reverse_second_distance": 0.20000010175739774, "reverse_unambiguous": true, "second_best_gap": 0.19999985121825917, "second_distance": 0.20000041306460192, "unambiguous": true }, { "best_distance": 4.469740804022159e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 6.230681526275816e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j0", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.469740804022159e-06, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j4", "reverse_second_best_gap": 0.19999993973420307, "reverse_second_distance": 0.20000440947500708, "reverse_unambiguous": true, "second_best_gap": 0.19999596957526333, "second_distance": 0.20000043931606734, "unambiguous": true }, { "best_distance": 1.012923386615415e-06, "edge_kind": "map", "eigenfunction_mismatch": 3.460687292289322e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j0", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.012923386615415e-06, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j4", "reverse_second_best_gap": 0.19999920335545737, "reverse_second_distance": 0.20000021627884398, "reverse_unambiguous": true, "second_best_gap": 0.19999940414595208, "second_distance": 0.2000004170693387, "unambiguous": true }, { "best_distance": 8.182231138860559e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.3062995957445764e-11, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j4", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.182231138860559e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c0.7:j4", "reverse_second_best_gap": 0.19999908165719277, "reverse_second_distance": 0.19999989988030664, "reverse_unambiguous": true, "second_best_gap": 0.19999959423559793, "second_distance": 0.2000004124587118, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.012923386615415e-06, "max_resolution_difference": 4.469740804022159e-06, "omega_imag": -0.9000004148002422, "omega_real": 0.9949882216479892, "outgoing_phase_residual": 1.6439885494506474e-07, "pencil_residual": 1.0907579661760665e-15, "reference_difference": 0.8000004148006269, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.230681526275816e-10, "transformed_residual": 5.597302666626874e-14, "unfactored_residual": 3.08048647310607e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 1.168075776574339e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.5057275896270546e-14, "infinity_row_residual": 8.456244801184306e-14, "ingoing_phase_residual": 1.6439897951212082e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.460687292289322e-11, "matching_checks": [ { "best_distance": 4.229305751940207e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 6.779021788361206e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j4", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.229305751940207e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j0", "reverse_second_best_gap": 0.19999947780583255, "reverse_second_distance": 0.19999990073640775, "reverse_unambiguous": true, "second_best_gap": 0.1999997983544695, "second_distance": 0.2000002212850447, "unambiguous": true }, { "best_distance": 6.270847219846268e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.642574964932919e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j0", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.270847219846268e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j0", "reverse_second_best_gap": 0.20000007619811883, "reverse_second_distance": 0.2000007032828408, "reverse_unambiguous": true, "second_best_gap": 0.19999955644326672, "second_distance": 0.2000001835279887, "unambiguous": true }, { "best_distance": 1.012923386615415e-06, "edge_kind": "map", "eigenfunction_mismatch": 3.460687292289322e-11, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j4", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.012923386615415e-06, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j0", "reverse_second_best_gap": 0.19999940414595208, "reverse_second_distance": 0.2000004170693387, "reverse_unambiguous": true, "second_best_gap": 0.19999920335545737, "second_distance": 0.20000021627884398, "unambiguous": true }, { "best_distance": 4.734412534554031e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.4376277945871152e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j4", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.734412534554031e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j0", "reverse_second_best_gap": 0.19999943733452036, "reverse_second_distance": 0.1999999107757738, "reverse_unambiguous": true, "second_best_gap": 0.19999974912243026, "second_distance": 0.20000022256368372, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.012923386615415e-06, "max_resolution_difference": 6.270847219846268e-07, "omega_imag": -0.900000224906634, "omega_real": 0.9949872266835653, "outgoing_phase_residual": 1.643989795020798e-07, "pencil_residual": 1.0227062146801184e-15, "reference_difference": 0.8000002249066618, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.642574964932919e-11, "transformed_residual": 2.9120233628704896e-14, "unfactored_residual": 2.1041048492258714e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 1.424567103490105e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.8131170994333e-14, "infinity_row_residual": 1.7936161402236486e-13, "ingoing_phase_residual": 1.7960529438890224e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.0103029524088925e-14, "matching_checks": [ { "best_distance": 7.279216476201056e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 5.551115123125783e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j0", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.279216476201056e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j1", "reverse_second_best_gap": 0.19999999635151092, "reverse_second_distance": 0.2000000036307274, "reverse_unambiguous": true, "second_best_gap": 0.19999989345719127, "second_distance": 0.19999990073640775, "unambiguous": true }, { "best_distance": 4.495114519376627e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4424906541753444e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j4", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.495114519376627e-08, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j1", "reverse_second_best_gap": 0.19999999643664507, "reverse_second_distance": 0.20000004138779026, "reverse_unambiguous": true, "second_best_gap": 0.19999995315443028, "second_distance": 0.19999999810557548, "unambiguous": true }, { "best_distance": 2.4112826881841524e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.0103029524088925e-14, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j3", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.4112826881841524e-08, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j1", "reverse_second_best_gap": 0.19999998452412054, "reverse_second_distance": 0.20000000863694742, "reverse_unambiguous": true, "second_best_gap": 0.19999997404523662, "second_distance": 0.1999999981580635, "unambiguous": true }, { "best_distance": 8.80730179921986e-09, "edge_kind": "map", "eigenfunction_mismatch": 3.1086244689504383e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j3", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.80730179921986e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j1", "reverse_second_best_gap": 0.19999999354478995, "reverse_second_distance": 0.20000000235209175, "reverse_unambiguous": true, "second_best_gap": 0.199999901968472, "second_distance": 0.1999999107757738, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.4112826881841524e-08, "max_resolution_difference": 4.495114519376627e-08, "omega_imag": -0.6999999977324654, "omega_real": 0.9949874312355356, "outgoing_phase_residual": 1.7960529443825295e-07, "pencil_residual": 1.4970840415310667e-15, "reference_difference": 0.5999999977324654, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4424906541753444e-15, "transformed_residual": 5.6571393145495095e-14, "unfactored_residual": 2.8037394915017547e-14 }, { "N": 40, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 1.068615158855994e-15, "failure_reasons": [], "horizon_row_residual": 1.2852413689272516e-12, "infinity_row_residual": 2.103180089927428e-12, "ingoing_phase_residual": 1.9999999984466198e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.1792179646129102e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j2", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1792179646129102e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j2", "reverse_second_best_gap": 0.20000000000206522, "reverse_second_distance": 0.20000000000218315, "reverse_unambiguous": true, "second_best_gap": 0.19999999999959303, "second_distance": 0.19999999999971096, "unambiguous": true }, { "best_distance": 1.9694326205598802e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j1", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9694326205598802e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j2", "reverse_second_best_gap": 0.20000000000192078, "reverse_second_distance": 0.20000000000211773, "reverse_unambiguous": true, "second_best_gap": 0.1999999999871892, "second_distance": 0.19999999998738616, "unambiguous": true }, { "best_distance": 1.5763808675981563e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j2", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5763808675981563e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j2", "reverse_second_best_gap": 0.2000000000020251, "reverse_second_distance": 0.20000000000218277, "reverse_unambiguous": true, "second_best_gap": 0.1999999999951212, "second_distance": 0.19999999999527884, "unambiguous": true }, { "best_distance": 1.0655175059719153e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j2", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0655175059719153e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j2", "reverse_second_best_gap": 0.2000000000022014, "reverse_second_distance": 0.20000000000230794, "reverse_unambiguous": true, "second_best_gap": 0.20000000000024973, "second_distance": 0.20000000000035628, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5763808675981563e-13, "max_resolution_difference": 1.9694326205598802e-13, "omega_imag": -0.0999999999999419, "omega_real": 0.9949874371065573, "outgoing_phase_residual": 1.9999999995512779e-07, "pencil_residual": 1.7120558476597367e-15, "reference_difference": 8.542351976649739e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 2.642217719599563e-13, "unfactored_residual": 1.0196265499617281e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 1.709412709936395e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.479728521912947e-14, "infinity_row_residual": 5.233879176133911e-13, "ingoing_phase_residual": 2.0000000076003964e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.695086177271081e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j3", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.695086177271081e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j3", "reverse_second_best_gap": 0.19999999998862297, "reverse_second_distance": 0.19999999999131807, "reverse_unambiguous": true, "second_best_gap": 0.19999999999948806, "second_distance": 0.20000000000218315, "unambiguous": true }, { "best_distance": 1.5044098617132595e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j2", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5044098617132595e-11, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j3", "reverse_second_best_gap": 0.19999999997234205, "reverse_second_distance": 0.19999999998738616, "reverse_unambiguous": true, "second_best_gap": 0.19999999960960405, "second_distance": 0.19999999962464815, "unambiguous": true }, { "best_distance": 8.879815153635187e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j1", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.879815153635187e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j3", "reverse_second_best_gap": 0.19999999998639903, "reverse_second_distance": 0.19999999999527884, "reverse_unambiguous": true, "second_best_gap": 0.19999999956328032, "second_distance": 0.19999999957216014, "unambiguous": true }, { "best_distance": 3.781654148807002e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j1", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.781654148807002e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j3", "reverse_second_best_gap": 0.1999999999868911, "reverse_second_distance": 0.19999999999067275, "reverse_unambiguous": true, "second_best_gap": 0.1999999999985263, "second_distance": 0.20000000000230794, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 8.879815153635187e-12, "max_resolution_difference": 1.5044098617132595e-11, "omega_imag": -0.3000000000022418, "omega_real": 0.994987437108533, "outgoing_phase_residual": 2.000000009754201e-07, "pencil_residual": 1.5595198330107724e-15, "reference_difference": 0.2000000000022418, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 9.677520769386642e-14, "unfactored_residual": 3.820543802932529e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 1.287677950621997e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.183686928276363e-13, "infinity_row_residual": 1.8177450258483098e-13, "ingoing_phase_residual": 1.9245008679372067e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.473532112356943e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.0:j1", "peer_configuration": [ "poschl-teller", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.473532112356943e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j4", "reverse_second_best_gap": 0.1999999973439948, "reverse_second_distance": 0.199999997691348, "reverse_unambiguous": true, "second_best_gap": 0.19999999964396487, "second_distance": 0.19999999999131807, "unambiguous": true }, { "best_distance": 4.206633992866594e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j3", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.206633992866594e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j4", "reverse_second_best_gap": 0.19999999768491208, "reverse_second_distance": 0.19999999810557548, "reverse_unambiguous": true, "second_best_gap": 0.19999999958297948, "second_distance": 0.20000000000364287, "unambiguous": true }, { "best_distance": 6.557015539270791e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j0", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.557015539270791e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j4", "reverse_second_best_gap": 0.19999999750236194, "reverse_second_distance": 0.1999999981580635, "reverse_unambiguous": true, "second_best_gap": 0.19999999934004864, "second_distance": 0.1999999999957502, "unambiguous": true }, { "best_distance": 4.739135965916837e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j0", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.739135965916837e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.0:j4", "reverse_second_best_gap": 0.19999999718849087, "reverse_second_distance": 0.19999999766240448, "reverse_unambiguous": true, "second_best_gap": 0.19999999951675915, "second_distance": 0.19999999999067275, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.557015539270791e-10, "max_resolution_difference": 4.206633992866594e-10, "omega_imag": -0.49999999999097094, "omega_real": 0.9949874374187424, "outgoing_phase_residual": 1.9245008683591765e-07, "pencil_residual": 1.1353911922729795e-15, "reference_difference": 0.3999999999909709, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 6.111521016753249e-14, "unfactored_residual": 4.740724822378018e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 4.556365321135043e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.712413729053721e-15, "infinity_row_residual": 1.2509223158049942e-13, "ingoing_phase_residual": 1.9245008688399172e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.582398335901488e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j2", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.582398335901488e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j0", "reverse_second_best_gap": 0.19999999987689096, "reverse_second_distance": 0.2000000000351308, "reverse_unambiguous": true, "second_best_gap": 0.19999999983360808, "second_distance": 0.19999999999184792, "unambiguous": true }, { "best_distance": 2.4088613149087168e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j1", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.4088613149087168e-11, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j0", "reverse_second_best_gap": 0.20000000002167378, "reverse_second_distance": 0.2000000000457624, "reverse_unambiguous": true, "second_best_gap": 0.20000000004417157, "second_distance": 0.2000000000682602, "unambiguous": true }, { "best_distance": 4.971993497338354e-10, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j0", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.971993497338354e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j0", "reverse_second_best_gap": 0.1999999990769044, "reverse_second_distance": 0.19999999957410375, "reverse_unambiguous": true, "second_best_gap": 0.19999999957764086, "second_distance": 0.2000000000748402, "unambiguous": true }, { "best_distance": 4.739135965916837e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j4", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.739135965916837e-10, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j0", "reverse_second_best_gap": 0.19999999951675915, "reverse_second_distance": 0.19999999999067275, "reverse_unambiguous": true, "second_best_gap": 0.19999999718849087, "second_distance": 0.19999999766240448, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.971993497338354e-10, "max_resolution_difference": 1.582398335901488e-10, "omega_imag": -0.500000000070061, "omega_real": 0.994987436951475, "outgoing_phase_residual": 1.924500869582381e-07, "pencil_residual": 6.141283589494113e-16, "reference_difference": 0.400000000070061, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 5.318117526316171e-14, "unfactored_residual": 3.94656877630841e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 1.6169302204485534e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.0070993197137428e-13, "infinity_row_residual": 3.324322288941696e-13, "ingoing_phase_residual": 2.0000000064957384e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.3191560472955886e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j4", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.3191560472955886e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j1", "reverse_second_best_gap": 0.199999999996917, "reverse_second_distance": 0.20000000000023616, "reverse_unambiguous": true, "second_best_gap": 0.19999999999695842, "second_distance": 0.20000000000027757, "unambiguous": true }, { "best_distance": 2.5971046344233855e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j3", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5971046344233855e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j1", "reverse_second_best_gap": 0.1999999999992698, "reverse_second_distance": 0.2000000000018669, "reverse_unambiguous": true, "second_best_gap": 0.19999999999765397, "second_distance": 0.2000000000002511, "unambiguous": true }, { "best_distance": 5.530622574691176e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j1", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.530622574691176e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j1", "reverse_second_best_gap": 0.19999999998975626, "reverse_second_distance": 0.1999999999952869, "reverse_unambiguous": true, "second_best_gap": 0.19999999956857312, "second_distance": 0.19999999957410375, "unambiguous": true }, { "best_distance": 3.781654148807002e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j3", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.781654148807002e-12, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j1", "reverse_second_best_gap": 0.1999999999985263, "reverse_second_distance": 0.20000000000230794, "reverse_unambiguous": true, "second_best_gap": 0.1999999999868911, "second_distance": 0.19999999999067275, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.530622574691176e-12, "max_resolution_difference": 3.3191560472955886e-12, "omega_imag": -0.3000000000002982, "omega_real": 0.994987437105289, "outgoing_phase_residual": 2.0000000064402273e-07, "pencil_residual": 8.881319676359596e-16, "reference_difference": 0.2000000000002982, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 8.765255377236881e-14, "unfactored_residual": 4.748567013217021e-14 }, { "N": 40, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 3.4131637598205473e-15, "failure_reasons": [], "horizon_row_residual": 1.4994457994486173e-12, "infinity_row_residual": 1.5659574059053157e-12, "ingoing_phase_residual": 1.9999999984604977e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 8.69970004538039e-14, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j3", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.69970004538039e-14, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j2", "reverse_second_best_gap": 0.20000000000019058, "reverse_second_distance": 0.20000000000027757, "reverse_unambiguous": true, "second_best_gap": 0.20000000000014917, "second_distance": 0.20000000000023616, "unambiguous": true }, { "best_distance": 1.5132755300846045e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j2", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.5132755300846045e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j2", "reverse_second_best_gap": 0.20000000000009976, "reverse_second_distance": 0.2000000000002511, "reverse_unambiguous": true, "second_best_gap": 0.20000000000171558, "second_distance": 0.2000000000018669, "unambiguous": true }, { "best_distance": 1.2519393598164233e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j2", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2519393598164233e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j2", "reverse_second_best_gap": 0.20000000000011395, "reverse_second_distance": 0.20000000000023915, "reverse_unambiguous": true, "second_best_gap": 0.1999999999951617, "second_distance": 0.1999999999952869, "unambiguous": true }, { "best_distance": 1.0655175059719153e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j2", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.0655175059719153e-13, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j2", "reverse_second_best_gap": 0.20000000000024973, "reverse_second_distance": 0.20000000000035628, "reverse_unambiguous": true, "second_best_gap": 0.2000000000022014, "second_distance": 0.20000000000230794, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.2519393598164233e-13, "max_resolution_difference": 1.5132755300846045e-13, "omega_imag": -0.09999999999993386, "omega_real": 0.9949874371066636, "outgoing_phase_residual": 1.9999999995651557e-07, "pencil_residual": 1.349882796104787e-15, "reference_difference": 7.923656846091465e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.6977625688476178e-13, "unfactored_residual": 9.311999799430714e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 1.723660695428333e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.902824269537549e-14, "infinity_row_residual": 1.5409984458362802e-13, "ingoing_phase_residual": 1.7960529289988455e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.2545520178264269e-14, "matching_checks": [ { "best_distance": 4.042768904765135e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j1", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.042768904765135e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j3", "reverse_second_best_gap": 0.19999990440355836, "reverse_second_distance": 0.19999990844632726, "reverse_unambiguous": true, "second_best_gap": 0.19999996889616856, "second_distance": 0.19999997293893745, "unambiguous": true }, { "best_distance": 2.280088218268358e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4424906541753444e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j4", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.280088218268358e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j3", "reverse_second_best_gap": 0.19999990211351618, "reverse_second_distance": 0.1999999043936044, "reverse_unambiguous": true, "second_best_gap": 0.19999962961379997, "second_distance": 0.1999996318938882, "unambiguous": true }, { "best_distance": 1.535220047728035e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.2545520178264269e-14, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j3", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.535220047728035e-08, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j3", "reverse_second_best_gap": 0.19999988452810616, "reverse_second_distance": 0.19999989988030664, "reverse_unambiguous": true, "second_best_gap": 0.19999998741646027, "second_distance": 0.20000000276866076, "unambiguous": true }, { "best_distance": 8.80730179921986e-09, "edge_kind": "map", "eigenfunction_mismatch": 3.1086244689504383e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j1", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.80730179921986e-09, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j3", "reverse_second_best_gap": 0.199999901968472, "reverse_second_distance": 0.1999999107757738, "reverse_unambiguous": true, "second_best_gap": 0.19999999354478995, "second_distance": 0.20000000235209175, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.535220047728035e-08, "max_resolution_difference": 4.042768904765135e-09, "omega_imag": -0.7000000023430627, "omega_real": 0.9949874387395983, "outgoing_phase_residual": 1.7960529294923525e-07, "pencil_residual": 1.1040485942061404e-15, "reference_difference": 0.6000000023430627, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4424906541753444e-15, "transformed_residual": 5.804018612714012e-14, "unfactored_residual": 3.0966476891688675e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N40:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 5.7762788112306824e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.361168636449326e-14, "infinity_row_residual": 4.8320810098965985e-14, "ingoing_phase_residual": 1.6439896534879974e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.3063106979748227e-11, "matching_checks": [ { "best_distance": 2.433083191647183e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.782663402622347e-14, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N36:c1.4:j0", "peer_configuration": [ "poschl-teller", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.433083191647183e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j4", "reverse_second_best_gap": 0.1999997296306183, "reverse_second_distance": 0.19999997293893745, "reverse_unambiguous": true, "second_best_gap": 0.1999996651380081, "second_distance": 0.19999990844632726, "unambiguous": true }, { "best_distance": 3.340807063260955e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 8.623102232263591e-13, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j0", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.340807063260955e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j4", "reverse_second_best_gap": 0.19999929781318188, "reverse_second_distance": 0.1999996318938882, "reverse_unambiguous": true, "second_best_gap": 0.19999957031289808, "second_distance": 0.1999999043936044, "unambiguous": true }, { "best_distance": 8.182231138860559e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.3063106979748227e-11, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j4", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.182231138860559e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j4", "reverse_second_best_gap": 0.19999959423559793, "reverse_second_distance": 0.2000004124587118, "reverse_unambiguous": true, "second_best_gap": 0.19999908165719277, "second_distance": 0.19999989988030664, "unambiguous": true }, { "best_distance": 4.734412534554031e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.4376277945871152e-12, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j0", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.734412534554031e-07, "reverse_nearest_candidate_id": "poschl-teller:N40:c1.4:j4", "reverse_second_best_gap": 0.19999974912243026, "reverse_second_distance": 0.20000022256368372, "reverse_unambiguous": true, "second_best_gap": 0.19999943733452036, "second_distance": 0.1999999107757738, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 8.182231138860559e-07, "max_resolution_difference": 3.340807063260955e-07, "omega_imag": -0.8999999085081847, "omega_real": 0.9949875788747659, "outgoing_phase_residual": 1.6439896533875888e-07, "pencil_residual": 5.122645301287976e-16, "reference_difference": 0.7999999085081972, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.623102232263591e-13, "transformed_residual": 3.783902086768929e-14, "unfactored_residual": 3.305781323927547e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N44:c0.7:j0", "case": "poschl-teller", "coefficient_tail": 3.333418054243958e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.6917258459297994e-15, "infinity_row_residual": 1.323722606097572e-13, "ingoing_phase_residual": 1.6439876320292144e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.383784612040699e-10, "matching_checks": [ { "best_distance": 4.469740804022159e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 6.230681526275816e-10, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j4", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.469740804022159e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j0", "reverse_second_best_gap": 0.19999596957526333, "reverse_second_distance": 0.20000043931606734, "reverse_unambiguous": true, "second_best_gap": 0.19999993973420307, "second_distance": 0.20000440947500708, "unambiguous": true }, { "best_distance": 3.762826617145371e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.819900034647162e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j0", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.762826617145371e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j0", "reverse_second_best_gap": 0.19999696270296263, "reverse_second_distance": 0.2000007255295798, "reverse_unambiguous": true, "second_best_gap": 0.20000061389748128, "second_distance": 0.20000437672409843, "unambiguous": true }, { "best_distance": 4.921196805867798e-06, "edge_kind": "map", "eigenfunction_mismatch": 6.383784612040699e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j0", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.921196805867798e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j0", "reverse_second_best_gap": 0.19999473755441272, "reverse_second_distance": 0.19999965875121858, "reverse_unambiguous": true, "second_best_gap": 0.1999994927913951, "second_distance": 0.20000441398820096, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.921196805867798e-06, "max_resolution_difference": 4.469740804022159e-06, "omega_imag": -0.9000044180992094, "omega_real": 0.994986233638876, "outgoing_phase_residual": 1.6439876325676126e-07, "pencil_residual": 9.819552904635202e-16, "reference_difference": 0.8000044181001146, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.230681526275816e-10, "transformed_residual": 5.4459983021418765e-14, "unfactored_residual": 2.757835504614681e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N44:c0.7:j1", "case": "poschl-teller", "coefficient_tail": 8.072968306110704e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.663863933357111e-14, "infinity_row_residual": 2.8119712956232447e-13, "ingoing_phase_residual": 1.796052958220721e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.7200464103316335e-14, "matching_checks": [ { "best_distance": 3.873076586009643e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 4.030109579389318e-14, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j3", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.873076586009643e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j1", "reverse_second_best_gap": 0.19999997064054761, "reverse_second_distance": 0.2000000093713135, "reverse_unambiguous": true, "second_best_gap": 0.19999993718056314, "second_distance": 0.199999975911329, "unambiguous": true }, { "best_distance": 6.654368572841034e-08, "edge_kind": "map", "eigenfunction_mismatch": 2.7200464103316335e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j4", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.654368572841034e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j1", "reverse_second_best_gap": 0.19999997557847066, "reverse_second_distance": 0.20000004212215639, "reverse_unambiguous": true, "second_best_gap": 0.19999990931515527, "second_distance": 0.199999975858841, "unambiguous": true }, { "best_distance": 2.89960137870408e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.4210854715202004e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j4", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.89960137870408e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j1", "reverse_second_best_gap": 0.19999997586201176, "reverse_second_distance": 0.20000000485802555, "reverse_unambiguous": true, "second_best_gap": 0.1999996297552048, "second_distance": 0.19999965875121858, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.654368572841034e-08, "max_resolution_difference": 3.873076586009643e-08, "omega_imag": -0.6999999754857309, "omega_real": 0.9949874327047573, "outgoing_phase_residual": 1.796052958714228e-07, "pencil_residual": 1.5696222142985499e-15, "reference_difference": 0.5999999754857309, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.030109579389318e-14, "transformed_residual": 5.2438973732650934e-14, "unfactored_residual": 3.072096426951149e-14 }, { "N": 44, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N44:c0.7:j2", "case": "poschl-teller", "coefficient_tail": 2.0080103126231822e-15, "failure_reasons": [], "horizon_row_residual": 7.465739796803324e-13, "infinity_row_residual": 3.533090164073993e-12, "ingoing_phase_residual": 1.9999999995512779e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.3493503755631797e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j2", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.3493503755631797e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j2", "reverse_second_best_gap": 0.20000000000284068, "reverse_second_distance": 0.20000000000297563, "reverse_unambiguous": true, "second_best_gap": 0.19999999999512647, "second_distance": 0.1999999999952614, "unambiguous": true }, { "best_distance": 1.8739986319950254e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j1", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8739986319950254e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j2", "reverse_second_best_gap": 0.2000000000027232, "reverse_second_distance": 0.2000000000029106, "reverse_unambiguous": true, "second_best_gap": 0.19999999998718132, "second_distance": 0.19999999998736873, "unambiguous": true }, { "best_distance": 8.818933095425194e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j2", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.818933095425194e-14, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j2", "reverse_second_best_gap": 0.2000000000028994, "reverse_second_distance": 0.20000000000298757, "reverse_unambiguous": true, "second_best_gap": 0.20000000000175325, "second_distance": 0.20000000000184143, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.8739986319950254e-13, "max_resolution_difference": 1.3493503755631797e-13, "omega_imag": -0.09999999999995936, "omega_real": 0.9949874371065719, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 1.7185059079206316e-15, "reference_difference": 6.295429725919574e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.8306122333765422e-13, "unfactored_residual": 8.900445168553061e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N44:c0.7:j3", "case": "poschl-teller", "coefficient_tail": 7.042461337167373e-16, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.758177550872218e-14, "infinity_row_residual": 8.337466622021457e-13, "ingoing_phase_residual": 2.0000000087605655e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 9.088730289055838e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j1", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.088730289055838e-12, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j3", "reverse_second_best_gap": 0.19999999925229534, "reverse_second_distance": 0.19999999926138406, "reverse_unambiguous": true, "second_best_gap": 0.19999999956227854, "second_distance": 0.19999999957136727, "unambiguous": true }, { "best_distance": 1.5750986348905575e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j2", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5750986348905575e-11, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j3", "reverse_second_best_gap": 0.19999999925352577, "reverse_second_distance": 0.19999999926927675, "reverse_unambiguous": true, "second_best_gap": 0.1999999996081043, "second_distance": 0.19999999962385528, "unambiguous": true }, { "best_distance": 1.2775445899661847e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j3", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2775445899661847e-12, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j3", "reverse_second_best_gap": 0.19999999925352652, "reverse_second_distance": 0.19999999925480405, "reverse_unambiguous": true, "second_best_gap": 0.20000000000171003, "second_distance": 0.20000000000298757, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5750986348905575e-11, "max_resolution_difference": 9.088730289055838e-12, "omega_imag": -0.3000000000030347, "omega_real": 0.9949874371077384, "outgoing_phase_residual": 2.000000008649543e-07, "pencil_residual": 1.6984158115830648e-15, "reference_difference": 0.20000000000303467, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.4200802993017138e-13, "unfactored_residual": 5.3697411642642924e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N44:c0.7:j4", "case": "poschl-teller", "coefficient_tail": 2.707230592835545e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.1277388289790782e-14, "infinity_row_residual": 2.923260651700502e-13, "ingoing_phase_residual": 1.9245008651703037e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.2729597256501584e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c0.7:j0", "peer_configuration": [ "poschl-teller", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2729597256501584e-09, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j4", "reverse_second_best_gap": 0.19999997463836927, "reverse_second_distance": 0.199999975911329, "reverse_unambiguous": true, "second_best_gap": 0.19999999798842433, "second_distance": 0.19999999926138406, "unambiguous": true }, { "best_distance": 6.347532064513928e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j3", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.347532064513928e-10, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j4", "reverse_second_best_gap": 0.1999999752240878, "reverse_second_distance": 0.199999975858841, "reverse_unambiguous": true, "second_best_gap": 0.19999999863452356, "second_distance": 0.19999999926927675, "unambiguous": true }, { "best_distance": 1.4292927541299546e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j1", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.4292927541299546e-09, "reverse_nearest_candidate_id": "poschl-teller:N44:c0.7:j4", "reverse_second_best_gap": 0.19999997401037758, "reverse_second_distance": 0.19999997543967035, "reverse_unambiguous": true, "second_best_gap": 0.19999999782551128, "second_distance": 0.19999999925480405, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4292927541299546e-09, "max_resolution_difference": 1.2729597256501584e-09, "omega_imag": -0.4999999992566048, "omega_real": 0.9949874381450204, "outgoing_phase_residual": 1.9245008659127675e-07, "pencil_residual": 1.1105441748490654e-15, "reference_difference": 0.3999999992566048, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 9.454783750920681e-14, "unfactored_residual": 4.278875106950565e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.0:j0", "case": "poschl-teller", "coefficient_tail": 2.683873361703669e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.7329128325744575e-15, "infinity_row_residual": 3.730529172211424e-14, "ingoing_phase_residual": 1.6439898778803892e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 4.819900034647162e-10, "matching_checks": [ { "best_distance": 6.270847219846268e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.642574964932919e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j0", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.270847219846268e-07, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j0", "reverse_second_best_gap": 0.19999955644326672, "reverse_second_distance": 0.2000001835279887, "reverse_unambiguous": true, "second_best_gap": 0.20000007619811883, "second_distance": 0.2000007032828408, "unambiguous": true }, { "best_distance": 3.762826617145371e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.819900034647162e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j0", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.762826617145371e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j0", "reverse_second_best_gap": 0.20000061389748128, "reverse_second_distance": 0.20000437672409843, "reverse_unambiguous": true, "second_best_gap": 0.19999696270296263, "second_distance": 0.2000007255295798, "unambiguous": true }, { "best_distance": 1.2093005243512385e-06, "edge_kind": "map", "eigenfunction_mismatch": 3.6813441184335716e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j0", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2093005243512385e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j0", "reverse_second_best_gap": 0.19999838355766625, "reverse_second_distance": 0.1999995928581906, "reverse_unambiguous": true, "second_best_gap": 0.19999948760017014, "second_distance": 0.2000006969006945, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.762826617145371e-06, "max_resolution_difference": 6.270847219846268e-07, "omega_imag": -0.9000007010143678, "omega_real": 0.9949868185700096, "outgoing_phase_residual": 1.6439898784187962e-07, "pencil_residual": 4.634689437586878e-16, "reference_difference": 0.8000007010146069, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.642574964932919e-11, "transformed_residual": 3.887701115816544e-14, "unfactored_residual": 2.3057284785437673e-14 }, { "N": 44, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.0:j1", "case": "poschl-teller", "coefficient_tail": 9.350517784308122e-16, "failure_reasons": [], "horizon_row_residual": 2.537182310449706e-12, "infinity_row_residual": 2.507755547807288e-12, "ingoing_phase_residual": 2.000000000655936e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.9694326205598802e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j2", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9694326205598802e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j1", "reverse_second_best_gap": 0.1999999999871892, "reverse_second_distance": 0.19999999998738616, "reverse_unambiguous": true, "second_best_gap": 0.20000000000192078, "second_distance": 0.20000000000211773, "unambiguous": true }, { "best_distance": 1.8739986319950254e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j2", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8739986319950254e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j1", "reverse_second_best_gap": 0.19999999998718132, "reverse_second_distance": 0.19999999998736873, "reverse_unambiguous": true, "second_best_gap": 0.2000000000027232, "second_distance": 0.2000000000029106, "unambiguous": true }, { "best_distance": 1.1151809051147424e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j2", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1151809051147424e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j1", "reverse_second_best_gap": 0.19999999998716944, "reverse_second_distance": 0.19999999998728096, "reverse_unambiguous": true, "second_best_gap": 0.20000000000156518, "second_distance": 0.2000000000016767, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.8739986319950254e-13, "max_resolution_difference": 1.9694326205598802e-13, "omega_imag": -0.10000000000012407, "omega_real": 0.9949874371064825, "outgoing_phase_residual": 2.0000000006698137e-07, "pencil_residual": 1.953865877287556e-15, "reference_difference": 1.851594482652979e-13, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.050704372735546e-13, "unfactored_residual": 1.3570675723341317e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.0:j2", "case": "poschl-teller", "coefficient_tail": 3.924825353618549e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.3601880155554445e-13, "infinity_row_residual": 7.928803711370993e-13, "ingoing_phase_residual": 2.0000000053910806e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.5044098617132595e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j3", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.5044098617132595e-11, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j2", "reverse_second_best_gap": 0.19999999960960405, "reverse_second_distance": 0.19999999962464815, "reverse_unambiguous": true, "second_best_gap": 0.19999999997234205, "second_distance": 0.19999999998738616, "unambiguous": true }, { "best_distance": 1.5750986348905575e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j3", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.5750986348905575e-11, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j2", "reverse_second_best_gap": 0.1999999996081043, "reverse_second_distance": 0.19999999962385528, "reverse_unambiguous": true, "second_best_gap": 0.19999999925352577, "second_distance": 0.19999999926927675, "unambiguous": true }, { "best_distance": 1.4497671894166285e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j3", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.4497671894166285e-11, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j2", "reverse_second_best_gap": 0.1999999996105915, "reverse_second_distance": 0.1999999996250892, "reverse_unambiguous": true, "second_best_gap": 0.19999999997278328, "second_distance": 0.19999999998728096, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.5750986348905575e-11, "max_resolution_difference": 1.5044098617132595e-11, "omega_imag": -0.29999999998732807, "omega_real": 0.9949874371065568, "outgoing_phase_residual": 2.0000000064402273e-07, "pencil_residual": 1.8491009238142042e-15, "reference_difference": 0.19999999998732806, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.0049240719961913e-13, "unfactored_residual": 6.822721619457739e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.0:j3", "case": "poschl-teller", "coefficient_tail": 2.4866008136413343e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.246110505870866e-14, "infinity_row_residual": 1.2958663024318822e-13, "ingoing_phase_residual": 1.9245008665537552e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 4.206633992866594e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j4", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.206633992866594e-10, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j3", "reverse_second_best_gap": 0.19999999958297948, "reverse_second_distance": 0.20000000000364287, "reverse_unambiguous": true, "second_best_gap": 0.19999999768491208, "second_distance": 0.19999999810557548, "unambiguous": true }, { "best_distance": 6.347532064513928e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j4", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.347532064513928e-10, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j3", "reverse_second_best_gap": 0.19999999863452356, "reverse_second_distance": 0.19999999926927675, "reverse_unambiguous": true, "second_best_gap": 0.1999999752240878, "second_distance": 0.199999975858841, "unambiguous": true }, { "best_distance": 7.953497100528063e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j1", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.953497100528063e-10, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j3", "reverse_second_best_gap": 0.19999999926338283, "reverse_second_distance": 0.20000000005873253, "reverse_unambiguous": true, "second_best_gap": 0.19999999882973948, "second_distance": 0.1999999996250892, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.953497100528063e-10, "max_resolution_difference": 4.206633992866594e-10, "omega_imag": -0.49999999962688996, "omega_real": 0.994987437629462, "outgoing_phase_residual": 1.9245008662332612e-07, "pencil_residual": 7.972746110287596e-16, "reference_difference": 0.3999999996268899, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 7.303171285153646e-14, "unfactored_residual": 4.19400466508167e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.0:j4", "case": "poschl-teller", "coefficient_tail": 3.546654980543354e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.347190681170841e-14, "infinity_row_residual": 1.6313754927273212e-13, "ingoing_phase_residual": 1.7960528948468976e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.7200464103316335e-14, "matching_checks": [ { "best_distance": 4.495114519376627e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4424906541753444e-15, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.0:j1", "peer_configuration": [ "poschl-teller", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.495114519376627e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j4", "reverse_second_best_gap": 0.19999995315443028, "reverse_second_distance": 0.19999999810557548, "reverse_unambiguous": true, "second_best_gap": 0.19999999643664507, "second_distance": 0.20000004138779026, "unambiguous": true }, { "best_distance": 6.654368572841034e-08, "edge_kind": "map", "eigenfunction_mismatch": 2.7200464103316335e-14, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j1", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.654368572841034e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j4", "reverse_second_best_gap": 0.19999990931515527, "reverse_second_distance": 0.199999975858841, "reverse_unambiguous": true, "second_best_gap": 0.19999997557847066, "second_distance": 0.20000004212215639, "unambiguous": true }, { "best_distance": 3.7557281193192926e-08, "edge_kind": "map", "eigenfunction_mismatch": 2.886579864025407e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.4:j4", "peer_configuration": [ "poschl-teller", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.7557281193192926e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.0:j4", "reverse_second_best_gap": 0.1999999669304592, "reverse_second_distance": 0.2000000044877404, "reverse_unambiguous": true, "second_best_gap": 0.1999995553009094, "second_distance": 0.1999995928581906, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.654368572841034e-08, "max_resolution_difference": 4.495114519376627e-08, "omega_imag": -0.7000000413787612, "omega_real": 0.9949874419875734, "outgoing_phase_residual": 1.796052896332417e-07, "pencil_residual": 1.0499192561011304e-15, "reference_difference": 0.6000000413787612, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4424906541753444e-15, "transformed_residual": 4.63396440361914e-14, "unfactored_residual": 2.4323680431665187e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0166", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.4:j0", "case": "poschl-teller", "coefficient_tail": 2.5396728817354423e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.3208111936488295e-14, "infinity_row_residual": 9.93890981503199e-14, "ingoing_phase_residual": 1.6439900802415568e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.383784612040699e-10, "matching_checks": [ { "best_distance": 3.340807063260955e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 8.623102232263591e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j4", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.340807063260955e-07, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j0", "reverse_second_best_gap": 0.19999957031289808, "reverse_second_distance": 0.1999999043936044, "reverse_unambiguous": true, "second_best_gap": 0.19999929781318188, "second_distance": 0.1999996318938882, "unambiguous": true }, { "best_distance": 4.921196805867798e-06, "edge_kind": "map", "eigenfunction_mismatch": 6.383784612040699e-10, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j0", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.921196805867798e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j0", "reverse_second_best_gap": 0.1999994927913951, "reverse_second_distance": 0.20000441398820096, "reverse_unambiguous": true, "second_best_gap": 0.19999473755441272, "second_distance": 0.19999965875121858, "unambiguous": true }, { "best_distance": 1.2093005243512385e-06, "edge_kind": "map", "eigenfunction_mismatch": 3.6813441184335716e-11, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j0", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.2093005243512385e-06, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j0", "reverse_second_best_gap": 0.19999948760017014, "reverse_second_distance": 0.2000006969006945, "reverse_unambiguous": true, "second_best_gap": 0.19999838355766625, "second_distance": 0.1999995928581906, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.921196805867798e-06, "max_resolution_difference": 3.340807063260955e-07, "omega_imag": -0.8999996342369445, "omega_real": 0.9949873881257025, "outgoing_phase_residual": 1.6439900798719436e-07, "pencil_residual": 7.465801479017844e-16, "reference_difference": 0.7999996342369461, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.623102232263591e-13, "transformed_residual": 2.5055554426649654e-14, "unfactored_residual": 3.3983829076649685e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0162", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.4:j1", "case": "poschl-teller", "coefficient_tail": 1.4931733394143183e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 9.24150429162817e-14, "infinity_row_residual": 2.0745494031838195e-13, "ingoing_phase_residual": 1.9245008680974537e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.4088613149087168e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 0, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j0", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.4088613149087168e-11, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j1", "reverse_second_best_gap": 0.20000000004417157, "reverse_second_distance": 0.2000000000682602, "reverse_unambiguous": true, "second_best_gap": 0.20000000002167378, "second_distance": 0.2000000000457624, "unambiguous": true }, { "best_distance": 1.4292927541299546e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j4", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.4292927541299546e-09, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j1", "reverse_second_best_gap": 0.19999999782551128, "reverse_second_distance": 0.19999999925480405, "reverse_unambiguous": true, "second_best_gap": 0.19999997401037758, "second_distance": 0.19999997543967035, "unambiguous": true }, { "best_distance": 7.953497100528063e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j3", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.953497100528063e-10, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j1", "reverse_second_best_gap": 0.19999999882973948, "reverse_second_distance": 0.1999999996250892, "reverse_unambiguous": true, "second_best_gap": 0.19999999926338283, "second_distance": 0.20000000005873253, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4292927541299546e-09, "max_resolution_difference": 2.4088613149087168e-11, "omega_imag": -0.5000000000460606, "omega_real": 0.9949874369535351, "outgoing_phase_residual": 1.9245008688399172e-07, "pencil_residual": 8.430530485765638e-16, "reference_difference": 0.4000000000460606, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 6.129809254960073e-14, "unfactored_residual": 3.3904468436157524e-14 }, { "N": 44, "accepted": true, "branch_id": "branch-0163", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.4:j2", "case": "poschl-teller", "coefficient_tail": 2.5490884348301307e-15, "failure_reasons": [], "horizon_row_residual": 2.4377158826698895e-12, "infinity_row_residual": 1.1586250590625535e-12, "ingoing_phase_residual": 1.9999999984466198e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.5132755300846045e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j2", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.5132755300846045e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j2", "reverse_second_best_gap": 0.20000000000171558, "reverse_second_distance": 0.2000000000018669, "reverse_unambiguous": true, "second_best_gap": 0.20000000000009976, "second_distance": 0.2000000000002511, "unambiguous": true }, { "best_distance": 8.818933095425194e-14, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j2", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.818933095425194e-14, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j2", "reverse_second_best_gap": 0.20000000000175325, "reverse_second_distance": 0.20000000000184143, "reverse_unambiguous": true, "second_best_gap": 0.2000000000028994, "second_distance": 0.20000000000298757, "unambiguous": true }, { "best_distance": 1.1151809051147424e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j1", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1151809051147424e-13, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j2", "reverse_second_best_gap": 0.20000000000156518, "reverse_second_distance": 0.2000000000016767, "reverse_unambiguous": true, "second_best_gap": 0.19999999998716944, "second_distance": 0.19999999998728096, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1151809051147424e-13, "max_resolution_difference": 1.5132755300846045e-13, "omega_imag": -0.10000000000004712, "omega_real": 0.9949874371065632, "outgoing_phase_residual": 1.9999999984604977e-07, "pencil_residual": 1.292916334466636e-15, "reference_difference": 7.374548452603022e-14, "reference_label": "poschl-teller:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.350710314235725e-13, "unfactored_residual": 1.17704031171907e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0164", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.4:j3", "case": "poschl-teller", "coefficient_tail": 1.0381309461628883e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 6.361770582073971e-14, "infinity_row_residual": 3.792078210765983e-13, "ingoing_phase_residual": 2.0000000053910806e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.5971046344233855e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j1", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5971046344233855e-12, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j3", "reverse_second_best_gap": 0.19999999999765397, "reverse_second_distance": 0.2000000000002511, "reverse_unambiguous": true, "second_best_gap": 0.1999999999992698, "second_distance": 0.2000000000018669, "unambiguous": true }, { "best_distance": 1.2775445899661847e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j3", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2775445899661847e-12, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j3", "reverse_second_best_gap": 0.20000000000171003, "reverse_second_distance": 0.20000000000298757, "reverse_unambiguous": true, "second_best_gap": 0.19999999925352652, "second_distance": 0.19999999925480405, "unambiguous": true }, { "best_distance": 1.4497671894166285e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 2, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j2", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4497671894166285e-11, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j3", "reverse_second_best_gap": 0.19999999997278328, "reverse_second_distance": 0.19999999998728096, "reverse_unambiguous": true, "second_best_gap": 0.1999999996105915, "second_distance": 0.1999999996250892, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4497671894166285e-11, "max_resolution_difference": 2.5971046344233855e-12, "omega_imag": -0.30000000000180077, "omega_real": 0.9949874371074073, "outgoing_phase_residual": 2.0000000075448853e-07, "pencil_residual": 8.284605595144598e-16, "reference_difference": 0.20000000000180077, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.210542427939378e-14, "unfactored_residual": 4.767155090773878e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0161", "branch_unique": true, "candidate_id": "poschl-teller:N44:c1.4:j4", "case": "poschl-teller", "coefficient_tail": 1.3710120478129427e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.3682604637699235e-14, "infinity_row_residual": 1.3822044845207527e-13, "ingoing_phase_residual": 1.7960529295023483e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.4210854715202004e-14, "matching_checks": [ { "best_distance": 2.280088218268358e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4424906541753444e-15, "failure_reasons": [], "nearest_index": 3, "passed": true, "peer_candidate_id": "poschl-teller:N40:c1.4:j3", "peer_configuration": [ "poschl-teller", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.280088218268358e-09, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j4", "reverse_second_best_gap": 0.19999962961379997, "reverse_second_distance": 0.1999996318938882, "reverse_unambiguous": true, "second_best_gap": 0.19999990211351618, "second_distance": 0.1999999043936044, "unambiguous": true }, { "best_distance": 2.89960137870408e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.4210854715202004e-14, "failure_reasons": [], "nearest_index": 1, "passed": true, "peer_candidate_id": "poschl-teller:N44:c0.7:j1", "peer_configuration": [ "poschl-teller", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.89960137870408e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j4", "reverse_second_best_gap": 0.1999996297552048, "reverse_second_distance": 0.19999965875121858, "reverse_unambiguous": true, "second_best_gap": 0.19999997586201176, "second_distance": 0.20000000485802555, "unambiguous": true }, { "best_distance": 3.7557281193192926e-08, "edge_kind": "map", "eigenfunction_mismatch": 2.9976021664879227e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "poschl-teller:N44:c1.0:j4", "peer_configuration": [ "poschl-teller", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.7557281193192926e-08, "reverse_nearest_candidate_id": "poschl-teller:N44:c1.4:j4", "reverse_second_best_gap": 0.1999995553009094, "reverse_second_distance": 0.1999995928581906, "reverse_unambiguous": true, "second_best_gap": 0.1999999669304592, "second_distance": 0.2000000044877404, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.7557281193192926e-08, "max_resolution_difference": 2.280088218268358e-09, "omega_imag": -0.7000000041146304, "omega_real": 0.9949874373042062, "outgoing_phase_residual": 1.7960529299958554e-07, "pencil_residual": 8.490977863574654e-16, "reference_difference": 0.6000000041146304, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4424906541753444e-15, "transformed_residual": 4.139276954246293e-14, "unfactored_residual": 4.2534595506240577e-14 }, { "N": 12, "accepted": false, "branch_id": "branch-0168", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.2858831853739808, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.9234221609184705e-12, "infinity_row_residual": 1.7652932187895884e-14, "ingoing_phase_residual": 1.6241070522129974e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.38246423747496416, "matching_checks": [ { "best_distance": 0.0076313721292795254, "edge_kind": "resolution", "eigenfunction_mismatch": 0.026799555503004058, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j0", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0076313721292795254, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j0", "reverse_second_best_gap": 0.16512933094626725, "reverse_second_distance": 0.17276070307554678, "reverse_unambiguous": true, "second_best_gap": 0.20353292479315674, "second_distance": 0.21116429692243627, "unambiguous": true }, { "best_distance": 0.008703879911449205, "edge_kind": "map", "eigenfunction_mismatch": 0.03706519716159862, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j0", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008703879911449205, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j0", "reverse_second_best_gap": 0.16298431538192787, "reverse_second_distance": 0.1716881952933771, "reverse_unambiguous": true, "second_best_gap": 0.30669382632991327, "second_distance": 0.3153977062413625, "unambiguous": true }, { "best_distance": 0.15839828284469884, "edge_kind": "map", "eigenfunction_mismatch": 0.38246423747496416, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j0", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.021993792360127468, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j1", "reverse_second_best_gap": 0.13640449048457137, "reverse_second_distance": 0.15839828284469884, "reverse_unambiguous": true, "second_best_gap": 0.2217603267966626, "second_distance": 0.38015860964136144, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15839828284469884, "max_resolution_difference": 0.0076313721292795254, "omega_imag": -0.019002719426703684, "omega_real": 3.252011675193961e-15, "outgoing_phase_residual": 3.9468428525424315e-13, "pencil_residual": 3.234805056631777e-14, "reference_difference": 0.38016427086851373, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.026799555503004058, "transformed_residual": 0.997104931035249, "unfactored_residual": 0.9749109959533345 }, { "N": 12, "accepted": false, "branch_id": "branch-0169", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 0.0008694062414084158, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.303876810211025e-13, "infinity_row_residual": 9.170953368606016e-14, "ingoing_phase_residual": 7.411305294469095e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.01305918284951535, "matching_checks": [ { "best_distance": 0.03077222171760996, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0013790441497476547, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j1", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03077222171760996, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j1", "reverse_second_best_gap": 0.1803920752048263, "reverse_second_distance": 0.21116429692243627, "reverse_unambiguous": true, "second_best_gap": 0.14198848135793682, "second_distance": 0.17276070307554678, "unambiguous": true }, { "best_distance": 0.13500563103653618, "edge_kind": "map", "eigenfunction_mismatch": 0.01305918284951535, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j1", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.13500563103653618, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j1", "reverse_second_best_gap": 0.1803920752048263, "reverse_second_distance": 0.3153977062413625, "reverse_unambiguous": true, "second_best_gap": 0.03668256425684091, "second_distance": 0.1716881952933771, "unambiguous": true }, { "best_distance": 0.021993792360127468, "edge_kind": "map", "eigenfunction_mismatch": 0.0010540474995323068, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j0", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.021993792360127468, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j1", "reverse_second_best_gap": 0.13640449048457137, "reverse_second_distance": 0.15839828284469884, "reverse_unambiguous": true, "second_best_gap": 0.3322331474874435, "second_distance": 0.354226939847571, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13500563103653618, "max_resolution_difference": 0.03077222171760996, "omega_imag": -0.19939479463152998, "omega_real": 3.777668430633863e-14, "outgoing_phase_residual": 3.760880495917718e-14, "pencil_residual": 7.785617251099447e-15, "reference_difference": 0.38964838013418573, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0013790441497476547, "transformed_residual": 0.0004264244913877797, "unfactored_residual": 0.0021060419396696415 }, { "N": 12, "accepted": false, "branch_id": "branch-0170", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 9.22213170897496e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.4701424660043277e-14, "infinity_row_residual": 6.046356014697565e-14, "ingoing_phase_residual": 5.152020683597831e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0004352201174857573, "matching_checks": [ { "best_distance": 0.0121529441666975, "edge_kind": "resolution", "eigenfunction_mismatch": 9.65811533970573e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j3", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0121529441666975, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j2", "reverse_second_best_gap": 0.23024295963612226, "reverse_second_distance": 0.24239590380281975, "reverse_unambiguous": true, "second_best_gap": 0.22067684959419223, "second_distance": 0.23282979376088972, "unambiguous": true }, { "best_distance": 0.009608642410612479, "edge_kind": "map", "eigenfunction_mismatch": 2.6662334563498646e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j2", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009608642410612479, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j2", "reverse_second_best_gap": 0.21944741253319386, "reverse_second_distance": 0.22905605494380635, "reverse_unambiguous": true, "second_best_gap": 0.23499087600333154, "second_distance": 0.24459951841394403, "unambiguous": true }, { "best_distance": 0.10533954091494696, "edge_kind": "map", "eigenfunction_mismatch": 0.0004352201174857573, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j2", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.10533954091494696, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j2", "reverse_second_best_gap": 0.026409070341857105, "reverse_second_distance": 0.13174861125680407, "reverse_unambiguous": true, "second_best_gap": 0.1611013753346825, "second_distance": 0.26644091624962946, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10533954091494696, "max_resolution_difference": 0.0121529441666975, "omega_imag": -0.9371082416177132, "omega_real": 0.2219360596200972, "outgoing_phase_residual": 7.654150412441734e-15, "pencil_residual": 2.1990469837869684e-15, "reference_difference": 0.8616119843075571, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.65811533970573e-06, "transformed_residual": 4.8603440868774235e-08, "unfactored_residual": 3.032962782140597e-08 }, { "N": 12, "accepted": false, "branch_id": "branch-0171", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 3.308111325044645e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.1823057844728786e-14, "infinity_row_residual": 5.739312206127595e-14, "ingoing_phase_residual": 7.132253811730275e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0006509865573270934, "matching_checks": [ { "best_distance": 0.006435682043476899, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0033896160055455e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j4", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006435682043476899, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j3", "reverse_second_best_gap": 0.22596259327143633, "reverse_second_distance": 0.23239827531491322, "reverse_unambiguous": true, "second_best_gap": 0.22567879261422977, "second_distance": 0.23211447465770665, "unambiguous": true }, { "best_distance": 0.011950169416424163, "edge_kind": "map", "eigenfunction_mismatch": 2.9477458267868073e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j3", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011950169416424163, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j3", "reverse_second_best_gap": 0.20820640015354336, "reverse_second_distance": 0.22015656956996751, "reverse_unambiguous": true, "second_best_gap": 0.2171058855273822, "second_distance": 0.22905605494380635, "unambiguous": true }, { "best_distance": 0.04124810507891222, "edge_kind": "map", "eigenfunction_mismatch": 0.0006509865573270934, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j1", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.04124810507891222, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j3", "reverse_second_best_gap": 0.16134335984968273, "reverse_second_distance": 0.20259146492859495, "reverse_unambiguous": true, "second_best_gap": 0.09050050617789185, "second_distance": 0.13174861125680407, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.04124810507891222, "max_resolution_difference": 0.006435682043476899, "omega_imag": -0.7062529130773151, "omega_real": 0.25765314496912906, "outgoing_phase_residual": 9.921599231853723e-15, "pencil_residual": 1.8470968179383477e-15, "reference_difference": 0.6280987049182327, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.0033896160055455e-05, "transformed_residual": 1.7111894405541487e-07, "unfactored_residual": 1.3216559335698373e-07 }, { "N": 12, "accepted": false, "branch_id": "branch-0172", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 6.474533974916818e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.5781467275345428e-14, "infinity_row_residual": 7.649601275978455e-14, "ingoing_phase_residual": 9.908430044749441e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00010032478450550109, "matching_checks": [ { "best_distance": 0.0009105120748062538, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1335104108667338e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j5", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0009105120748062538, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j4", "reverse_second_best_gap": 0.208435126929053, "reverse_second_distance": 0.20934563900385925, "reverse_unambiguous": true, "second_best_gap": 0.2093268269249844, "second_distance": 0.21023733899979063, "unambiguous": true }, { "best_distance": 0.00284525150252218, "edge_kind": "map", "eigenfunction_mismatch": 1.1730279789623488e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j4", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00284525150252218, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j4", "reverse_second_best_gap": 0.20565583889376715, "reverse_second_distance": 0.20850109039628933, "reverse_unambiguous": true, "second_best_gap": 0.20734900888348629, "second_distance": 0.21019426038600847, "unambiguous": true }, { "best_distance": 0.009625070908435252, "edge_kind": "map", "eigenfunction_mismatch": 0.00010032478450550109, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j3", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.009625070908435252, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j4", "reverse_second_best_gap": 0.19606593743458434, "reverse_second_distance": 0.2056910083430196, "reverse_unambiguous": true, "second_best_gap": 0.1929663940201597, "second_distance": 0.20259146492859495, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009625070908435252, "max_resolution_difference": 0.0009105120748062538, "omega_imag": -0.4791436731919457, "omega_real": 0.30109288990043565, "outgoing_phase_residual": 1.3321866733282935e-14, "pencil_residual": 2.2651782526208383e-15, "reference_difference": 0.39687425358231615, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1335104108667338e-06, "transformed_residual": 4.884661306762649e-07, "unfactored_residual": 4.7535034765176757e-07 }, { "N": 12, "accepted": false, "branch_id": "branch-0173", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 5.462640466226301e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.619600866623328e-15, "infinity_row_residual": 2.0804172578612186e-13, "ingoing_phase_residual": 1.080759914876863e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.8657049338788312e-06, "matching_checks": [ { "best_distance": 2.7202705051057127e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 6.90842782979928e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j6", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.7202705051057127e-05, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j5", "reverse_second_best_gap": 0.18688051769255004, "reverse_second_distance": 0.1869077203976011, "reverse_unambiguous": true, "second_best_gap": 0.18688860701924898, "second_distance": 0.18691580972430002, "unambiguous": true }, { "best_distance": 0.00014242447390545252, "edge_kind": "map", "eigenfunction_mismatch": 2.13683143401866e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j5", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00014242447390545252, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j5", "reverse_second_best_gap": 0.18681669268378728, "reverse_second_distance": 0.18695911715769273, "reverse_unambiguous": true, "second_best_gap": 0.18677222913034663, "second_distance": 0.18691465360425208, "unambiguous": true }, { "best_distance": 0.0004634176159680946, "edge_kind": "map", "eigenfunction_mismatch": 1.8657049338788312e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j4", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004634176159680946, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j5", "reverse_second_best_gap": 0.1861586887550093, "reverse_second_distance": 0.1866221063709774, "reverse_unambiguous": true, "second_best_gap": 0.18645657512720595, "second_distance": 0.18691999274317406, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0004634176159680946, "max_resolution_difference": 2.7202705051057127e-05, "omega_imag": -0.2739195850015698, "omega_real": 0.34668412507524615, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 5.07713001436258e-15, "reference_difference": 0.18691580947278694, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.90842782979928e-09, "transformed_residual": 7.030089772572524e-07, "unfactored_residual": 8.37631420792767e-07 }, { "N": 12, "accepted": false, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N12:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 2.086828096829428e-06, "failure_reasons": [ "matching:map:frequency_difference" ], "horizon_row_residual": 2.8035439786813155e-14, "infinity_row_residual": 3.2265330672670507e-13, "ingoing_phase_residual": 9.235202504304777e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.881693800775963e-09, "matching_checks": [ { "best_distance": 1.89716157707085e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.2256862191861728e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c0.7:j7", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.89716157707085e-07, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j6", "reverse_second_best_gap": 0.18691562000814232, "reverse_second_distance": 0.18691580972430002, "reverse_unambiguous": true, "second_best_gap": 0.1869075306814434, "second_distance": 0.1869077203976011, "unambiguous": true }, { "best_distance": 1.605326910282085e-06, "edge_kind": "map", "eigenfunction_mismatch": 8.233158599324497e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N12:c1.0:j6", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.605326910282085e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j6", "reverse_second_best_gap": 0.1869130482773418, "reverse_second_distance": 0.18691465360425208, "reverse_unambiguous": true, "second_best_gap": 0.18695751183078244, "second_distance": 0.18695911715769273, "unambiguous": true }, { "best_distance": 6.719419395628234e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.881693800775963e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j5", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.719419395628234e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c0.7:j6", "reverse_second_best_gap": 0.18691327332377844, "reverse_second_distance": 0.18691999274317406, "reverse_unambiguous": true, "second_best_gap": 0.18661538695158178, "second_distance": 0.1866221063709774, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.719419395628234e-06, "max_resolution_difference": 1.89716157707085e-07, "omega_imag": -0.0889621653665296, "omega_real": 0.3736715680800031, "outgoing_phase_residual": 1.9573649316003405e-14, "pencil_residual": 4.5586007820244074e-15, "reference_difference": 1.9008252162337663e-07, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.2256862191861728e-12, "transformed_residual": 4.421585926311255e-07, "unfactored_residual": 4.579601041042826e-07 }, { "N": 12, "accepted": false, "branch_id": "branch-0175", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.27509762652270403, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.632754885205499e-13, "infinity_row_residual": 5.549024228723895e-16, "ingoing_phase_residual": 1.6881501110899144e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.29170191214816055, "matching_checks": [ { "best_distance": 0.010863045502778685, "edge_kind": "resolution", "eigenfunction_mismatch": 0.023135125064625006, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j0", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.010863045502778685, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j0", "reverse_second_best_gap": 0.28496773532435593, "reverse_second_distance": 0.2958307808271346, "reverse_unambiguous": true, "second_best_gap": 0.15569053499461288, "second_distance": 0.16655358049739158, "unambiguous": true }, { "best_distance": 0.008703879911449205, "edge_kind": "map", "eigenfunction_mismatch": 0.03706519716159862, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j0", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008703879911449205, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j0", "reverse_second_best_gap": 0.30669382632991327, "reverse_second_distance": 0.3153977062413625, "reverse_unambiguous": true, "second_best_gap": 0.16298431538192787, "second_distance": 0.1716881952933771, "unambiguous": true }, { "best_distance": 0.14969440293324962, "edge_kind": "map", "eigenfunction_mismatch": 0.29170191214816055, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j0", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.14969440293324962, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j0", "reverse_second_best_gap": 0.007305020463414025, "reverse_second_distance": 0.15699942339666365, "reverse_unambiguous": true, "second_best_gap": 0.2289592277578161, "second_distance": 0.3786536306910657, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14969440293324962, "max_resolution_difference": 0.010863045502778685, "omega_imag": -0.02770659933815289, "omega_real": 7.859091899975109e-16, "outgoing_phase_residual": 2.7069665953227684e-13, "pencil_residual": 7.05424779246378e-16, "reference_difference": 0.3786592010257556, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.023135125064625006, "transformed_residual": 0.9924053311065657, "unfactored_residual": 0.9604872643275999 }, { "N": 12, "accepted": false, "branch_id": "branch-0176", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 0.0004326662669618546, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.66221576928816e-13, "infinity_row_residual": 3.79506231138261e-14, "ingoing_phase_residual": 4.4414297462047614e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.021382010293392595, "matching_checks": [ { "best_distance": 0.1401402458325217, "edge_kind": "resolution", "eigenfunction_mismatch": 0.014707081176440151, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j1", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.1401402458325217, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j1", "reverse_second_best_gap": 0.026413334664869892, "reverse_second_distance": 0.16655358049739158, "reverse_unambiguous": true, "second_best_gap": 0.1556905349946129, "second_distance": 0.2958307808271346, "unambiguous": true }, { "best_distance": 0.13500563103653618, "edge_kind": "map", "eigenfunction_mismatch": 0.01305918284951535, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j1", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.13500563103653618, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j1", "reverse_second_best_gap": 0.03668256425684091, "reverse_second_distance": 0.1716881952933771, "reverse_unambiguous": true, "second_best_gap": 0.1803920752048263, "second_distance": 0.3153977062413625, "unambiguous": true }, { "best_distance": 0.15699942339666365, "edge_kind": "map", "eigenfunction_mismatch": 0.021382010293392595, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j0", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.14969440293324962, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j0", "reverse_second_best_gap": 0.007305020463414025, "reverse_second_distance": 0.15699942339666365, "reverse_unambiguous": true, "second_best_gap": 0.16784263366632388, "second_distance": 0.3248420570629875, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15699942339666365, "max_resolution_difference": 0.1401402458325217, "omega_imag": -0.33440042566806616, "omega_real": 1.103254814121381e-14, "outgoing_phase_residual": 2.2426505097428162e-14, "pencil_residual": 1.7758521829129261e-15, "reference_difference": 0.44706866761822633, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.014707081176440151, "transformed_residual": 0.00011717572386948004, "unfactored_residual": 0.0002931799728498254 }, { "N": 12, "accepted": false, "branch_id": "branch-0177", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 1.0872460553557983e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.449622496935175e-14, "infinity_row_residual": 4.979006771584798e-14, "ingoing_phase_residual": 5.155327589601087e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0003889756546058276, "matching_checks": [ { "best_distance": 0.02931389598632034, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010254407136989219, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j3", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.02931389598632034, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j2", "reverse_second_best_gap": 0.23655397654901184, "reverse_second_distance": 0.2658678725353322, "reverse_unambiguous": true, "second_best_gap": 0.19891019922160239, "second_distance": 0.22822409520792272, "unambiguous": true }, { "best_distance": 0.009608642410612479, "edge_kind": "map", "eigenfunction_mismatch": 2.6662334563498646e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j2", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.009608642410612479, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j2", "reverse_second_best_gap": 0.23499087600333154, "reverse_second_distance": 0.24459951841394403, "reverse_unambiguous": true, "second_best_gap": 0.21944741253319386, "second_distance": 0.22905605494380635, "unambiguous": true }, { "best_distance": 0.0993962089436371, "edge_kind": "map", "eigenfunction_mismatch": 0.0003889756546058276, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j2", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0993962089436371, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j2", "reverse_second_best_gap": 0.042588213493677085, "reverse_second_distance": 0.14198442243731418, "reverse_unambiguous": true, "second_best_gap": 0.16335406191709895, "second_distance": 0.26275027086073605, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0993962089436371, "max_resolution_difference": 0.02931389598632034, "omega_imag": -0.9337456147440464, "omega_real": 0.23093710119779887, "outgoing_phase_residual": 7.775178468071317e-15, "pencil_residual": 1.871811218352302e-15, "reference_difference": 0.8567566653429042, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00010254407136989219, "transformed_residual": 1.9889093402995032e-07, "unfactored_residual": 1.6243865447863532e-07 }, { "N": 12, "accepted": false, "branch_id": "branch-0178", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 2.067654768895425e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.340421699185902e-14, "infinity_row_residual": 6.317122217705356e-14, "ingoing_phase_residual": 7.209800531984274e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0006131873758986606, "matching_checks": [ { "best_distance": 0.018335897890272932, "edge_kind": "resolution", "eigenfunction_mismatch": 7.249278514598334e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j4", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.018335897890272932, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j3", "reverse_second_best_gap": 0.2098881973176498, "reverse_second_distance": 0.22822409520792272, "reverse_unambiguous": true, "second_best_gap": 0.20284606582563813, "second_distance": 0.22118196371591106, "unambiguous": true }, { "best_distance": 0.011950169416424163, "edge_kind": "map", "eigenfunction_mismatch": 2.9477458267868073e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j3", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.011950169416424163, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j3", "reverse_second_best_gap": 0.2171058855273822, "reverse_second_distance": 0.22905605494380635, "reverse_unambiguous": true, "second_best_gap": 0.20820640015354336, "second_distance": 0.22015656956996751, "unambiguous": true }, { "best_distance": 0.03753584684388482, "edge_kind": "map", "eigenfunction_mismatch": 0.0006131873758986606, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j1", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03753584684388482, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j3", "reverse_second_best_gap": 0.16703620790324242, "reverse_second_distance": 0.20457205474712725, "reverse_unambiguous": true, "second_best_gap": 0.10444857559342936, "second_distance": 0.14198442243731418, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.03753584684388482, "max_resolution_difference": 0.018335897890272932, "omega_imag": -0.6961624226935085, "omega_real": 0.264055375275479, "outgoing_phase_residual": 9.979663786127904e-15, "pencil_residual": 2.1535461547375235e-15, "reference_difference": 0.6170151579794474, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.249278514598334e-05, "transformed_residual": 7.986960974095535e-07, "unfactored_residual": 7.596806997155997e-07 }, { "N": 12, "accepted": false, "branch_id": "branch-0179", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 2.819043583726028e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.7332536014118952e-14, "infinity_row_residual": 5.3756685389517484e-14, "ingoing_phase_residual": 9.874139488243085e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.00013134697971239895, "matching_checks": [ { "best_distance": 0.0025796534390907806, "edge_kind": "resolution", "eigenfunction_mismatch": 9.230815298133521e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j5", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0025796534390907806, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j4", "reverse_second_best_gap": 0.20659939100922858, "reverse_second_distance": 0.20917904444831936, "reverse_unambiguous": true, "second_best_gap": 0.20593020842341253, "second_distance": 0.2085098618625033, "unambiguous": true }, { "best_distance": 0.00284525150252218, "edge_kind": "map", "eigenfunction_mismatch": 1.1730279789623488e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j4", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00284525150252218, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j4", "reverse_second_best_gap": 0.20734900888348629, "reverse_second_distance": 0.21019426038600847, "reverse_unambiguous": true, "second_best_gap": 0.20565583889376715, "second_distance": 0.20850109039628933, "unambiguous": true }, { "best_distance": 0.011054027728438949, "edge_kind": "map", "eigenfunction_mismatch": 0.00013134697971239895, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j3", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.011054027728438949, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j4", "reverse_second_best_gap": 0.19460969777511944, "reverse_second_distance": 0.20566372550355838, "reverse_unambiguous": true, "second_best_gap": 0.1935180270186883, "second_distance": 0.20457205474712725, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.011054027728438949, "max_resolution_difference": 0.0025796534390907806, "omega_imag": -0.4779352297283986, "omega_real": 0.30366876266670634, "outgoing_phase_residual": 1.3228087202133447e-14, "pencil_residual": 1.5845425096685292e-15, "reference_difference": 0.39522188313664386, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.230815298133521e-06, "transformed_residual": 2.5374098793809454e-06, "unfactored_residual": 2.957039521674123e-06 }, { "N": 12, "accepted": false, "branch_id": "branch-0180", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 2.5412190896793524e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4624192267346357e-14, "infinity_row_residual": 7.974104709722815e-14, "ingoing_phase_residual": 1.0803503316635418e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.2913212654195334e-06, "matching_checks": [ { "best_distance": 0.00011929058399524437, "edge_kind": "resolution", "eigenfunction_mismatch": 1.532831611639196e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j6", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00011929058399524437, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j5", "reverse_second_best_gap": 0.18678831109850919, "reverse_second_distance": 0.18690760168250442, "reverse_unambiguous": true, "second_best_gap": 0.18683969154098481, "second_distance": 0.18695898212498005, "unambiguous": true }, { "best_distance": 0.00014242447390545252, "edge_kind": "map", "eigenfunction_mismatch": 2.13683143401866e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j5", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00014242447390545252, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j5", "reverse_second_best_gap": 0.18677222913034663, "reverse_second_distance": 0.18691465360425208, "reverse_unambiguous": true, "second_best_gap": 0.18681669268378728, "second_distance": 0.18695911715769273, "unambiguous": true }, { "best_distance": 0.0005980151822031504, "edge_kind": "map", "eigenfunction_mismatch": 3.2913212654195334e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j4", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005980151822031504, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j5", "reverse_second_best_gap": 0.18602280521151, "reverse_second_distance": 0.18662082039371314, "reverse_unambiguous": true, "second_best_gap": 0.1863651571867486, "second_distance": 0.18696317236895174, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005980151822031504, "max_resolution_difference": 0.00011929058399524437, "omega_imag": -0.27398185782651013, "omega_real": 0.3468122142084355, "outgoing_phase_residual": 1.7035774503900163e-14, "pencil_residual": 1.9483465865152997e-15, "reference_difference": 0.1869589851083344, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.532831611639196e-07, "transformed_residual": 4.517133343704024e-06, "unfactored_residual": 6.3559859137758905e-06 }, { "N": 12, "accepted": false, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 1.1422052063536764e-05, "failure_reasons": [ "matching:map:frequency_difference" ], "horizon_row_residual": 3.018122527315127e-14, "infinity_row_residual": 1.1391428328498764e-13, "ingoing_phase_residual": 9.235199393133157e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.702801094045526e-09, "matching_checks": [ { "best_distance": 1.417964264039908e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 6.420364240256049e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.0:j7", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.417964264039908e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j6", "reverse_second_best_gap": 0.18695756416071602, "reverse_second_distance": 0.18695898212498005, "reverse_unambiguous": true, "second_best_gap": 0.1869061837182404, "second_distance": 0.18690760168250442, "unambiguous": true }, { "best_distance": 1.605326910282085e-06, "edge_kind": "map", "eigenfunction_mismatch": 8.233158599324497e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N12:c0.7:j6", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.605326910282085e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j6", "reverse_second_best_gap": 0.18695751183078244, "reverse_second_distance": 0.18695911715769273, "reverse_unambiguous": true, "second_best_gap": 0.1869130482773418, "second_distance": 0.18691465360425208, "unambiguous": true }, { "best_distance": 8.272733481985855e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.702801094045526e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j5", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.272733481985855e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.0:j6", "reverse_second_best_gap": 0.18695489963546977, "reverse_second_distance": 0.18696317236895174, "reverse_unambiguous": true, "second_best_gap": 0.18661254766023117, "second_distance": 0.18662082039371314, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 8.272733481985855e-06, "max_resolution_difference": 1.417964264039908e-06, "omega_imag": -0.0889635780747147, "omega_real": 0.3736723305300491, "outgoing_phase_residual": 1.9516433206440762e-14, "pencil_residual": 1.6269335290881144e-15, "reference_difference": 1.4181250230372892e-06, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 6.420364240256049e-11, "transformed_residual": 3.597905941570745e-06, "unfactored_residual": 4.351841141008416e-06 }, { "N": 12, "accepted": false, "branch_id": "branch-0181", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.003318728849283373, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.14285071614384e-12, "infinity_row_residual": 9.050186840706656e-15, "ingoing_phase_residual": 5.166173058790413e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.29170191214816055, "matching_checks": [ { "best_distance": 0.038104116113913844, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005115791436266615, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j0", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.038104116113913844, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j0", "reverse_second_best_gap": 0.33338592278586826, "reverse_second_distance": 0.3714900388997821, "reverse_unambiguous": true, "second_best_gap": 0.08421851889868749, "second_distance": 0.12232263501260134, "unambiguous": true }, { "best_distance": 0.021993792360127468, "edge_kind": "map", "eigenfunction_mismatch": 0.0010540474995323068, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j1", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.021993792360127468, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j0", "reverse_second_best_gap": 0.3322331474874435, "reverse_second_distance": 0.354226939847571, "reverse_unambiguous": true, "second_best_gap": 0.13640449048457137, "second_distance": 0.15839828284469884, "unambiguous": true }, { "best_distance": 0.14969440293324962, "edge_kind": "map", "eigenfunction_mismatch": 0.29170191214816055, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j0", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.14969440293324962, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j0", "reverse_second_best_gap": 0.2289592277578161, "reverse_second_distance": 0.3786536306910657, "reverse_unambiguous": true, "second_best_gap": 0.007305020463414025, "second_distance": 0.15699942339666365, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14969440293324962, "max_resolution_difference": 0.038104116113913844, "omega_imag": -0.1774010022714025, "omega_real": 8.241063568212158e-15, "outgoing_phase_residual": 4.2271741662602835e-14, "pencil_residual": 7.979892453055794e-16, "reference_difference": 0.3839946992085207, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.005115791436266615, "transformed_residual": 0.004483433578353701, "unfactored_residual": 0.03353300303521115 }, { "N": 12, "accepted": false, "branch_id": "branch-0182", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 0.00011249505914870785, "failure_reasons": [ "local:coefficient_tail", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8780495217682813e-14, "infinity_row_residual": 3.587945497726054e-14, "ingoing_phase_residual": 7.744291469907942e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.0006509865573270934, "matching_checks": [ { "best_distance": 0.03990820834770483, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0005387990970987522, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03990820834770483, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j1", "reverse_second_best_gap": 0.08885284735783913, "reverse_second_distance": 0.12876105570554397, "reverse_unambiguous": true, "second_best_gap": 0.1637753010673532, "second_distance": 0.20368350941505803, "unambiguous": true }, { "best_distance": 0.04124810507891222, "edge_kind": "map", "eigenfunction_mismatch": 0.0006509865573270934, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j3", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04124810507891222, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j1", "reverse_second_best_gap": 0.09050050617789185, "reverse_second_distance": 0.13174861125680407, "reverse_unambiguous": true, "second_best_gap": 0.16134335984968273, "second_distance": 0.20259146492859495, "unambiguous": true }, { "best_distance": 0.03753584684388482, "edge_kind": "map", "eigenfunction_mismatch": 0.0006131873758986606, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j3", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03753584684388482, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j1", "reverse_second_best_gap": 0.10444857559342936, "reverse_second_distance": 0.14198442243731418, "reverse_unambiguous": true, "second_best_gap": 0.16703620790324242, "second_distance": 0.20457205474712725, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.04124810507891222, "max_resolution_difference": 0.03990820834770483, "omega_imag": -0.6710472531598114, "omega_real": 0.23615971149808823, "outgoing_phase_residual": 1.0490909998753825e-14, "pencil_residual": 1.1710562813946138e-15, "reference_difference": 0.5981073625418861, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0005387990970987522, "transformed_residual": 5.179809018111351e-06, "unfactored_residual": 5.398799031328609e-06 }, { "N": 12, "accepted": false, "branch_id": "branch-0183", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 0.00010303967053872707, "failure_reasons": [ "local:coefficient_tail", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.025815882827756e-14, "infinity_row_residual": 3.253237078740785e-14, "ingoing_phase_residual": 5.808029868582891e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.0004352201174857573, "matching_checks": [ { "best_distance": 0.12876105570554397, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0027371578824565423, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.03990820834770483, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j1", "reverse_second_best_gap": 0.08885284735783913, "reverse_second_distance": 0.12876105570554397, "reverse_unambiguous": true, "second_best_gap": 0.014338742006417743, "second_distance": 0.1430997977119617, "unambiguous": true }, { "best_distance": 0.10533954091494696, "edge_kind": "map", "eigenfunction_mismatch": 0.0004352201174857573, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j2", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10533954091494696, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j2", "reverse_second_best_gap": 0.1611013753346825, "reverse_second_distance": 0.26644091624962946, "reverse_unambiguous": true, "second_best_gap": 0.026409070341857105, "second_distance": 0.13174861125680407, "unambiguous": true }, { "best_distance": 0.0993962089436371, "edge_kind": "map", "eigenfunction_mismatch": 0.0003889756546057166, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j2", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0993962089436371, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j2", "reverse_second_best_gap": 0.16335406191709895, "reverse_second_distance": 0.26275027086073605, "reverse_unambiguous": true, "second_best_gap": 0.042588213493677085, "second_distance": 0.14198442243731418, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10533954091494696, "max_resolution_difference": 0.12876105570554397, "omega_imag": -0.83800152280599, "omega_real": 0.25763307863493684, "outgoing_phase_residual": 8.693301502752284e-15, "pencil_residual": 1.1981375772906377e-15, "reference_difference": 0.7579740706848964, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0027371578824565423, "transformed_residual": 1.7085460518965684e-06, "unfactored_residual": 1.5409419247550653e-06 }, { "N": 12, "accepted": false, "branch_id": "branch-0184", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 0.00012467903783908415, "failure_reasons": [ "local:coefficient_tail", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.9525356198813543e-14, "infinity_row_residual": 3.434320271636541e-14, "ingoing_phase_residual": 1.016623927027728e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.00013134697971239895, "matching_checks": [ { "best_distance": 0.008449222576577159, "edge_kind": "resolution", "eigenfunction_mismatch": 7.413037922476828e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j4", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008449222576577159, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j3", "reverse_second_best_gap": 0.19523428683848087, "reverse_second_distance": 0.20368350941505803, "reverse_unambiguous": true, "second_best_gap": 0.19726300594094323, "second_distance": 0.20571222851752038, "unambiguous": true }, { "best_distance": 0.009625070908435252, "edge_kind": "map", "eigenfunction_mismatch": 0.00010032478450550109, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j4", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.009625070908435252, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j3", "reverse_second_best_gap": 0.1929663940201597, "reverse_second_distance": 0.20259146492859495, "reverse_unambiguous": true, "second_best_gap": 0.19606593743458434, "second_distance": 0.2056910083430196, "unambiguous": true }, { "best_distance": 0.011054027728438949, "edge_kind": "map", "eigenfunction_mismatch": 0.00013134697971239895, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j4", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011054027728438949, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j3", "reverse_second_best_gap": 0.1935180270186883, "reverse_second_distance": 0.20457205474712725, "reverse_unambiguous": true, "second_best_gap": 0.19460969777511944, "second_distance": 0.20566372550355838, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.011054027728438949, "max_resolution_difference": 0.008449222576577159, "omega_imag": -0.4727274426051729, "omega_real": 0.29391835332656774, "outgoing_phase_residual": 1.3481097656204135e-14, "pencil_residual": 1.015551904844819e-15, "reference_difference": 0.39196462398693827, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.413037922476828e-05, "transformed_residual": 1.5374022604256895e-05, "unfactored_residual": 1.926017865713433e-05 }, { "N": 12, "accepted": false, "branch_id": "branch-0185", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 0.00010804971610976102, "failure_reasons": [ "local:coefficient_tail", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.7581449004159042e-14, "infinity_row_residual": 3.425104569900286e-14, "ingoing_phase_residual": 1.0817997185978439e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 3.2913212654195334e-06, "matching_checks": [ { "best_distance": 0.0004789956844855351, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0229640907976076e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j5", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004789956844855351, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j4", "reverse_second_best_gap": 0.18642343726316826, "reverse_second_distance": 0.1869024329476538, "reverse_unambiguous": true, "second_best_gap": 0.18614296561612292, "second_distance": 0.18662196130060846, "unambiguous": true }, { "best_distance": 0.0004634176159680946, "edge_kind": "map", "eigenfunction_mismatch": 1.8657049338788312e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j5", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0004634176159680946, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j4", "reverse_second_best_gap": 0.18645657512720595, "reverse_second_distance": 0.18691999274317406, "reverse_unambiguous": true, "second_best_gap": 0.1861586887550093, "second_distance": 0.1866221063709774, "unambiguous": true }, { "best_distance": 0.0005980151822031504, "edge_kind": "map", "eigenfunction_mismatch": 3.2913212654195334e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j5", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005980151822031504, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j4", "reverse_second_best_gap": 0.1863651571867486, "reverse_second_distance": 0.18696317236895174, "reverse_unambiguous": true, "second_best_gap": 0.18602280521151, "second_distance": 0.18662082039371314, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005980151822031504, "max_resolution_difference": 0.0004789956844855351, "omega_imag": -0.27357678957451975, "omega_real": 0.34637228027092337, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 7.999819719256535e-16, "reference_difference": 0.18662197468368696, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.0229640907976076e-06, "transformed_residual": 2.8155710204735117e-05, "unfactored_residual": 4.17734426809493e-05 }, { "N": 12, "accepted": false, "branch_id": "branch-0186", "branch_unique": true, "candidate_id": "schwarzschild:N12:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 5.1322838757266645e-05, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.6289273172247926e-14, "infinity_row_residual": 1.1264175452997373e-13, "ingoing_phase_residual": 9.235257435790413e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.702801094045526e-09, "matching_checks": [ { "best_distance": 6.948837600810351e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.000041021688048e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j6", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.948837600810351e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j5", "reverse_second_best_gap": 0.18661501246300766, "reverse_second_distance": 0.18662196130060846, "reverse_unambiguous": true, "second_best_gap": 0.186895484110053, "second_distance": 0.1869024329476538, "unambiguous": true }, { "best_distance": 6.719419395628234e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.881693800775963e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j6", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.719419395628234e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j5", "reverse_second_best_gap": 0.18661538695158178, "reverse_second_distance": 0.1866221063709774, "reverse_unambiguous": true, "second_best_gap": 0.18691327332377844, "second_distance": 0.18691999274317406, "unambiguous": true }, { "best_distance": 8.272733481985855e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.702801094045526e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j6", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.272733481985855e-06, "reverse_nearest_candidate_id": "schwarzschild:N12:c1.4:j5", "reverse_second_best_gap": 0.18661254766023117, "reverse_second_distance": 0.18662082039371314, "reverse_unambiguous": true, "second_best_gap": 0.18695489963546977, "second_distance": 0.18696317236895174, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 8.272733481985855e-06, "max_resolution_difference": 6.948837600810351e-06, "omega_imag": -0.08895738256722095, "omega_real": 0.37366684839486664, "outgoing_phase_residual": 1.956723297457084e-14, "pencil_residual": 1.385270412734655e-15, "reference_difference": 6.908169801294195e-06, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.000041021688048e-09, "transformed_residual": 2.5487266969671323e-05, "unfactored_residual": 3.2446653944180796e-05 }, { "N": 20, "accepted": false, "branch_id": "branch-0187", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.007898674279672311, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.0353127627345803e-10, "infinity_row_residual": 1.1883713334473328e-13, "ingoing_phase_residual": 1.683597168518347e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.05616038718847405, "matching_checks": [ { "best_distance": 0.0076313721292795254, "edge_kind": "resolution", "eigenfunction_mismatch": 0.02679955550300417, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j0", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0076313721292795254, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j0", "reverse_second_best_gap": 0.20353292479315674, "reverse_second_distance": 0.21116429692243627, "reverse_unambiguous": true, "second_best_gap": 0.16512933094626725, "second_distance": 0.17276070307554678, "unambiguous": true }, { "best_distance": 0.01800328822535508, "edge_kind": "resolution", "eigenfunction_mismatch": 0.029059992531214496, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j0", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01800328822535508, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j0", "reverse_second_best_gap": 0.16752634834244656, "reverse_second_distance": 0.18552963656780164, "reverse_unambiguous": true, "second_best_gap": 0.108038317054033, "second_distance": 0.12604160527938807, "unambiguous": true }, { "best_distance": 0.011935553284948365, "edge_kind": "map", "eigenfunction_mismatch": 0.015177332951402556, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j0", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011935553284948365, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j0", "reverse_second_best_gap": 0.17966181822326002, "reverse_second_distance": 0.19159737150820838, "reverse_unambiguous": true, "second_best_gap": 0.1556905349946129, "second_distance": 0.16762608827956127, "unambiguous": true }, { "best_distance": 0.02844427570281797, "edge_kind": "map", "eigenfunction_mismatch": 0.05616038718847405, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j1", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.02844427570281797, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j0", "reverse_second_best_gap": 0.14664437338752082, "reverse_second_distance": 0.17508864909033878, "reverse_unambiguous": true, "second_best_gap": 0.0842185188986875, "second_distance": 0.11266279460150547, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02844427570281797, "max_resolution_difference": 0.01800328822535508, "omega_imag": -0.02663409155598321, "omega_real": 5.09914266541693e-14, "outgoing_phase_residual": 2.815976618553151e-13, "pencil_residual": 4.015268251131031e-14, "reference_difference": 0.37883417910656647, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.029059992531214496, "transformed_residual": 0.2012240278417739, "unfactored_residual": 0.9999999999999999 }, { "N": 20, "accepted": false, "branch_id": "branch-0188", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 3.493529122610106e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.846267470569091e-13, "infinity_row_residual": 9.087319176695406e-13, "ingoing_phase_residual": 1.890899368334198e-06, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.019680429205461314, "matching_checks": [ { "best_distance": 0.03077222171760996, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0013790441497476547, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j1", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03077222171760996, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j1", "reverse_second_best_gap": 0.14198848135793682, "reverse_second_distance": 0.17276070307554678, "reverse_unambiguous": true, "second_best_gap": 0.1803920752048263, "second_distance": 0.21116429692243627, "unambiguous": true }, { "best_distance": 0.07749131951376867, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012763448087820262, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j1", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07749131951376867, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j1", "reverse_second_best_gap": 0.0485502857656194, "reverse_second_distance": 0.12604160527938807, "reverse_unambiguous": true, "second_best_gap": 0.08286284831822213, "second_distance": 0.1603541678319908, "unambiguous": true }, { "best_distance": 0.03590683651359547, "edge_kind": "map", "eigenfunction_mismatch": 0.001954616101675133, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j1", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03590683651359547, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j1", "reverse_second_best_gap": 0.1317192517659658, "reverse_second_distance": 0.16762608827956127, "reverse_unambiguous": true, "second_best_gap": 0.1556905349946129, "second_distance": 0.19159737150820838, "unambiguous": true }, { "best_distance": 0.09087013019165127, "edge_kind": "map", "eigenfunction_mismatch": 0.019680429205461314, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j0", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.09087013019165127, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j1", "reverse_second_best_gap": 0.021792664409854196, "reverse_second_distance": 0.11266279460150547, "reverse_unambiguous": true, "second_best_gap": 0.0842185188986875, "second_distance": 0.17508864909033878, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.09087013019165127, "max_resolution_difference": 0.07749131951376867, "omega_imag": -0.23016701634913994, "omega_real": 2.025221279622366e-12, "outgoing_phase_residual": 3.2585045772748344e-14, "pencil_residual": 1.8037980350031145e-14, "reference_difference": 0.39946125622247897, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012763448087820262, "transformed_residual": 8.539657777959002e-06, "unfactored_residual": 3.2994215217018085e-05 }, { "N": 20, "accepted": false, "branch_id": "branch-0189", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 1.3539876115738216e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.091082654732544e-13, "infinity_row_residual": 1.4488931100684986e-12, "ingoing_phase_residual": 8.866885936598123e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.002223999089590367, "matching_checks": [ { "best_distance": 0.260011274695442, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002740078947456537, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j3", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.006435682043476899, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j4", "reverse_second_best_gap": 0.22567879261422977, "reverse_second_distance": 0.23211447465770665, "reverse_unambiguous": true, "second_best_gap": 0.08625760127011212, "second_distance": 0.3462688759655541, "unambiguous": true }, { "best_distance": 0.06079659677421956, "edge_kind": "resolution", "eigenfunction_mismatch": 3.160865688422998e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j3", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06079659677421956, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j2", "reverse_second_best_gap": 0.20800080491203665, "reverse_second_distance": 0.2687974016862562, "reverse_unambiguous": true, "second_best_gap": 0.19337119843380834, "second_distance": 0.2541677952080279, "unambiguous": true }, { "best_distance": 0.0625756309991593, "edge_kind": "map", "eigenfunction_mismatch": 5.894130192329872e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j2", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0625756309991593, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j2", "reverse_second_best_gap": 0.19017244354544877, "reverse_second_distance": 0.25274807454460807, "reverse_unambiguous": true, "second_best_gap": 0.18858221997007146, "second_distance": 0.25115785096923077, "unambiguous": true }, { "best_distance": 0.2487187915357711, "edge_kind": "map", "eigenfunction_mismatch": 0.002223999089590367, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0066046156823789575, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j4", "reverse_second_best_gap": 0.23033442044798424, "reverse_second_distance": 0.2369390361303632, "reverse_unambiguous": true, "second_best_gap": 0.10879904581287908, "second_distance": 0.35751783734865017, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2487187915357711, "max_resolution_difference": 0.260011274695442, "omega_imag": -0.6713141108695371, "omega_real": 8.43162071234502e-11, "outgoing_phase_residual": 1.1213252548714081e-14, "pencil_residual": 1.4167551696975217e-14, "reference_difference": 0.6919278437979445, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002740078947456537, "transformed_residual": 3.743943749457226e-09, "unfactored_residual": 3.352403373461778e-09 }, { "N": 20, "accepted": false, "branch_id": "branch-0190", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 3.8057322656512193e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.5754336695653876e-14, "infinity_row_residual": 1.3155126023922245e-12, "ingoing_phase_residual": 5.1226938308387146e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.539643981726904e-05, "matching_checks": [ { "best_distance": 0.0121529441666975, "edge_kind": "resolution", "eigenfunction_mismatch": 9.658115339927775e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j2", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0121529441666975, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j3", "reverse_second_best_gap": 0.22067684959419223, "reverse_second_distance": 0.23282979376088972, "reverse_unambiguous": true, "second_best_gap": 0.23024295963612226, "second_distance": 0.24239590380281975, "unambiguous": true }, { "best_distance": 0.007933735993583152, "edge_kind": "resolution", "eigenfunction_mismatch": 3.894113037028468e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j4", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007933735993583152, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j3", "reverse_second_best_gap": 0.23603319256208286, "reverse_second_distance": 0.243966928555666, "reverse_unambiguous": true, "second_best_gap": 0.23439922408410507, "second_distance": 0.24233296007768823, "unambiguous": true }, { "best_distance": 0.012836834123184728, "edge_kind": "map", "eigenfunction_mismatch": 1.0649432643505818e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j3", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.012836834123184728, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j3", "reverse_second_best_gap": 0.24102297607444537, "reverse_second_distance": 0.2538598101976301, "reverse_unambiguous": true, "second_best_gap": 0.22807995823822033, "second_distance": 0.24091679236140506, "unambiguous": true }, { "best_distance": 0.02787341537171339, "edge_kind": "map", "eigenfunction_mismatch": 4.539643981726904e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j2", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.02787341537171339, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j3", "reverse_second_best_gap": 0.24136822602762537, "reverse_second_distance": 0.26924164139933876, "reverse_unambiguous": true, "second_best_gap": 0.20906562075864982, "second_distance": 0.2369390361303632, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02787341537171339, "max_resolution_difference": 0.0121529441666975, "omega_imag": -0.9443436803591283, "omega_real": 0.2121717123230119, "outgoing_phase_residual": 7.743158934485841e-15, "pencil_residual": 1.3944415934741597e-14, "reference_difference": 0.8704938368602827, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.658115339927775e-06, "transformed_residual": 4.430135389773596e-11, "unfactored_residual": 2.9912499555091866e-11 }, { "N": 20, "accepted": false, "branch_id": "branch-0191", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 1.2061160591631265e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.2807435759890205e-14, "infinity_row_residual": 1.463488569847801e-12, "ingoing_phase_residual": 7.176379385679945e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 9.724779163722275e-06, "matching_checks": [ { "best_distance": 0.006435682043476899, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0033896160055455e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j3", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006435682043476899, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j4", "reverse_second_best_gap": 0.22567879261422977, "reverse_second_distance": 0.23211447465770665, "reverse_unambiguous": true, "second_best_gap": 0.22596259327143633, "second_distance": 0.23239827531491322, "unambiguous": true }, { "best_distance": 0.0010733869039168174, "edge_kind": "resolution", "eigenfunction_mismatch": 2.5227094824220586e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j5", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0010733869039168174, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j4", "reverse_second_best_gap": 0.23124439783320103, "reverse_second_distance": 0.23231778473711784, "reverse_unambiguous": true, "second_best_gap": 0.23217132099432197, "second_distance": 0.23324470789823878, "unambiguous": true }, { "best_distance": 0.0024991981358940692, "edge_kind": "map", "eigenfunction_mismatch": 1.300267879478234e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j4", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0024991981358940692, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j4", "reverse_second_best_gap": 0.23141383083230405, "reverse_second_distance": 0.23391302896819813, "reverse_unambiguous": true, "second_best_gap": 0.23091518166162386, "second_distance": 0.23341437979751795, "unambiguous": true }, { "best_distance": 0.0066046156823789575, "edge_kind": "map", "eigenfunction_mismatch": 9.724779163722275e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0066046156823789575, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j4", "reverse_second_best_gap": 0.23033442044798424, "reverse_second_distance": 0.2369390361303632, "reverse_unambiguous": true, "second_best_gap": 0.22697092227213858, "second_distance": 0.23357553795451755, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0066046156823789575, "max_resolution_difference": 0.006435682043476899, "omega_imag": -0.7061272026275445, "omega_real": 0.25121869081609094, "outgoing_phase_residual": 9.921599231853723e-15, "pencil_residual": 1.3561961651384025e-14, "reference_difference": 0.6291957035072834, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.0033896160055455e-05, "transformed_residual": 2.5925056538668015e-10, "unfactored_residual": 2.0586445120994784e-10 }, { "N": 20, "accepted": false, "branch_id": "branch-0192", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 2.2553802924115388e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8141945976406647e-14, "infinity_row_residual": 1.6002539729910752e-12, "ingoing_phase_residual": 9.92358779775696e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.349011337723141e-07, "matching_checks": [ { "best_distance": 0.0009105120748062538, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1335104108667338e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j4", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0009105120748062538, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j5", "reverse_second_best_gap": 0.2093268269249844, "reverse_second_distance": 0.21023733899979063, "reverse_unambiguous": true, "second_best_gap": 0.208435126929053, "second_distance": 0.20934563900385925, "unambiguous": true }, { "best_distance": 3.6649629176888237e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8128762935276654e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j6", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.6649629176888237e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j5", "reverse_second_best_gap": 0.20935507228821482, "reverse_second_distance": 0.2093917219173917, "reverse_unambiguous": true, "second_best_gap": 0.20931940089951984, "second_distance": 0.2093560505286967, "unambiguous": true }, { "best_distance": 0.00013381517218619785, "edge_kind": "map", "eigenfunction_mismatch": 2.4391083042196726e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j5", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00013381517218619785, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j5", "reverse_second_best_gap": 0.20908818642595406, "reverse_second_distance": 0.20922200159814025, "reverse_unambiguous": true, "second_best_gap": 0.20922091585312294, "second_distance": 0.20935473102530913, "unambiguous": true }, { "best_distance": 0.0005733960535972242, "edge_kind": "map", "eigenfunction_mismatch": 4.349011337723141e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j4", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005733960535972242, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j5", "reverse_second_best_gap": 0.2084907734813131, "reverse_second_distance": 0.2090641695349103, "reverse_unambiguous": true, "second_best_gap": 0.20879222447243928, "second_distance": 0.2093656205260365, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005733960535972242, "max_resolution_difference": 0.0009105120748062538, "omega_imag": -0.47823367454944316, "omega_real": 0.3010623168892728, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 1.331624821921081e-14, "reference_difference": 0.3959852409901584, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1335104108667338e-06, "transformed_residual": 9.735379422546384e-10, "unfactored_residual": 9.57984637728471e-10 }, { "N": 20, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 1.9271118110820697e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.4017922563373486e-14, "infinity_row_residual": 1.4454015063763603e-12, "ingoing_phase_residual": 1.0806778577586594e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.2970442497817203e-09, "matching_checks": [ { "best_distance": 2.7202705051057127e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 6.90842782979928e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c0.7:j5", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.7202705051057127e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j6", "reverse_second_best_gap": 0.18688860701924898, "reverse_second_distance": 0.18691580972430002, "reverse_unambiguous": true, "second_best_gap": 0.18688051769255004, "second_distance": 0.1869077203976011, "unambiguous": true }, { "best_distance": 2.74929918552705e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.34190486184616e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j7", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.74929918552705e-07, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j6", "reverse_second_best_gap": 0.1869070393182696, "reverse_second_distance": 0.18690731424818816, "reverse_unambiguous": true, "second_best_gap": 0.18690731352072693, "second_distance": 0.18690758845064548, "unambiguous": true }, { "best_distance": 1.9695853672618494e-06, "edge_kind": "map", "eigenfunction_mismatch": 3.849676133427238e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.0:j6", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9695853672618494e-06, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j6", "reverse_second_best_gap": 0.18690678833816352, "reverse_second_distance": 0.1869087579235308, "reverse_unambiguous": true, "second_best_gap": 0.18690561585754722, "second_distance": 0.1869075854429145, "unambiguous": true }, { "best_distance": 1.1702746168821218e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.2970442497817203e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j5", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1702746168821218e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j6", "reverse_second_best_gap": 0.1868865462126252, "reverse_second_distance": 0.18689824895879403, "reverse_unambiguous": true, "second_best_gap": 0.18689587221526485, "second_distance": 0.18690757496143368, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.1702746168821218e-05, "max_resolution_difference": 2.7202705051057127e-05, "omega_imag": -0.27391519220326566, "omega_real": 0.34671097075432405, "outgoing_phase_residual": 1.7035774503900163e-14, "pencil_residual": 9.909541297578569e-15, "reference_difference": 0.18690758842856534, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.90842782979928e-09, "transformed_residual": 1.4208156404473334e-09, "unfactored_residual": 1.6917772731965685e-09 }, { "N": 20, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N20:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 6.034988424638438e-10, "failure_reasons": [], "horizon_row_residual": 2.4309890831825533e-13, "infinity_row_residual": 1.7476125677006763e-12, "ingoing_phase_residual": 9.235201449805793e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.616929226765933e-14, "matching_checks": [ { "best_distance": 1.89716157707085e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.2257972414886353e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N12:c0.7:j6", "peer_configuration": [ "schwarzschild", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.89716157707085e-07, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j7", "reverse_second_best_gap": 0.1869075306814434, "reverse_second_distance": 0.1869077203976011, "reverse_unambiguous": true, "second_best_gap": 0.18691562000814232, "second_distance": 0.18691580972430002, "unambiguous": true }, { "best_distance": 3.478176869500042e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j8", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.478176869500042e-10, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j7", "reverse_second_best_gap": 0.1869075881028278, "reverse_second_distance": 0.18690758845064548, "reverse_unambiguous": true, "second_best_gap": 0.18690731390037046, "second_distance": 0.18690731424818816, "unambiguous": true }, { "best_distance": 4.8734398616674616e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.0:j7", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.8734398616674616e-09, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j7", "reverse_second_best_gap": 0.18690758056947462, "reverse_second_distance": 0.1869075854429145, "reverse_unambiguous": true, "second_best_gap": 0.18690875305009091, "second_distance": 0.1869087579235308, "unambiguous": true }, { "best_distance": 4.333478658305816e-08, "edge_kind": "map", "eigenfunction_mismatch": 6.616929226765933e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.4:j6", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.333478658305816e-08, "reverse_nearest_candidate_id": "schwarzschild:N20:c0.7:j7", "reverse_second_best_gap": 0.18690753162664708, "reverse_second_distance": 0.18690757496143368, "reverse_unambiguous": true, "second_best_gap": 0.18689820562400744, "second_distance": 0.18689824895879403, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.333478658305816e-08, "max_resolution_difference": 1.89716157707085e-07, "omega_imag": -0.08896231540159157, "omega_real": 0.37367168419072905, "outgoing_phase_residual": 1.956723297457084e-14, "pencil_residual": 7.0357974831036424e-15, "reference_difference": 3.663847042483801e-10, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.2257972414886353e-12, "transformed_residual": 6.992652666851397e-10, "unfactored_residual": 7.183581221162893e-10 }, { "N": 20, "accepted": false, "branch_id": "branch-0194", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.007194919485528045, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.1665550174260094e-09, "infinity_row_residual": 2.4224382076418486e-13, "ingoing_phase_residual": 1.7237870066078023e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.015177332951402556, "matching_checks": [ { "best_distance": 0.010863045502778685, "edge_kind": "resolution", "eigenfunction_mismatch": 0.023135125064625006, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j0", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.010863045502778685, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j0", "reverse_second_best_gap": 0.15569053499461288, "reverse_second_distance": 0.16655358049739158, "reverse_unambiguous": true, "second_best_gap": 0.28496773532435593, "second_distance": 0.2958307808271346, "unambiguous": true }, { "best_distance": 0.012048775286244096, "edge_kind": "resolution", "eigenfunction_mismatch": 0.015507378011280104, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j1", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.012048775286244096, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j0", "reverse_second_best_gap": 0.15569053499461288, "reverse_second_distance": 0.16773931028085698, "reverse_unambiguous": true, "second_best_gap": 0.014181187860604627, "second_distance": 0.026229963146848723, "unambiguous": true }, { "best_distance": 0.011935553284948365, "edge_kind": "map", "eigenfunction_mismatch": 0.015177332951402556, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j0", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.011935553284948365, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j0", "reverse_second_best_gap": 0.1556905349946129, "reverse_second_distance": 0.16762608827956127, "reverse_unambiguous": true, "second_best_gap": 0.17966181822326002, "second_distance": 0.19159737150820838, "unambiguous": true }, { "best_distance": 0.016508722417869603, "edge_kind": "map", "eigenfunction_mismatch": 0.013973415645566645, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j1", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.016508722417869603, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j0", "reverse_second_best_gap": 0.12267309015887368, "reverse_second_distance": 0.13918181257674328, "reverse_unambiguous": true, "second_best_gap": 0.08421851889868749, "second_distance": 0.1007272413165571, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.016508722417869603, "max_resolution_difference": 0.012048775286244096, "omega_imag": -0.038569644840931575, "omega_real": 8.640499407620881e-14, "outgoing_phase_residual": 1.9445556276309617e-13, "pencil_residual": 4.23567578089434e-14, "reference_difference": 0.3770543051218847, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.023135125064625006, "transformed_residual": 0.0883090823805465, "unfactored_residual": 0.9523171844921776 }, { "N": 20, "accepted": false, "branch_id": "branch-0195", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 2.099079996568843e-05, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.1931444436013587e-12, "infinity_row_residual": 6.174376332888489e-13, "ingoing_phase_residual": 6.728656524734866e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.009349319193853178, "matching_checks": [ { "best_distance": 0.1401402458325217, "edge_kind": "resolution", "eigenfunction_mismatch": 0.014707081176440151, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j1", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.1401402458325217, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j1", "reverse_second_best_gap": 0.1556905349946129, "reverse_second_distance": 0.2958307808271346, "reverse_unambiguous": true, "second_best_gap": 0.026413334664869892, "second_distance": 0.16655358049739158, "unambiguous": true }, { "best_distance": 0.03590162167555766, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001954122170215733, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j2", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03590162167555766, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j1", "reverse_second_best_gap": 0.15569053499461288, "reverse_second_distance": 0.19159215667017054, "reverse_unambiguous": true, "second_best_gap": 0.0935589501722065, "second_distance": 0.12946057184776416, "unambiguous": true }, { "best_distance": 0.03590683651359547, "edge_kind": "map", "eigenfunction_mismatch": 0.001954616101675133, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j1", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03590683651359547, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j1", "reverse_second_best_gap": 0.1556905349946129, "reverse_second_distance": 0.19159737150820838, "reverse_unambiguous": true, "second_best_gap": 0.1317192517659658, "second_distance": 0.16762608827956127, "unambiguous": true }, { "best_distance": 0.0549632936780558, "edge_kind": "map", "eigenfunction_mismatch": 0.009349319193853178, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j0", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0549632936780558, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j1", "reverse_second_best_gap": 0.04576394763850129, "reverse_second_distance": 0.1007272413165571, "reverse_unambiguous": true, "second_best_gap": 0.08421851889868748, "second_distance": 0.13918181257674328, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0549632936780558, "max_resolution_difference": 0.1401402458325217, "omega_imag": -0.19426017983554447, "omega_real": 5.508784377847287e-13, "outgoing_phase_residual": 3.863576125695545e-14, "pencil_residual": 1.4462200444401115e-14, "reference_difference": 0.38822437832939166, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.014707081176440151, "transformed_residual": 7.215516308063965e-05, "unfactored_residual": 0.00045835206325649935 }, { "N": 20, "accepted": false, "branch_id": "branch-0196", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 2.648062481809279e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.3710834323358198e-11, "infinity_row_residual": 2.638740955040783e-13, "ingoing_phase_residual": 7.712711902474467e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.002361824419838565, "matching_checks": [ { "best_distance": 0.2667369337171387, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003250653183352159, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j3", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.018335897890272932, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j4", "reverse_second_best_gap": 0.20284606582563813, "reverse_second_distance": 0.22118196371591106, "reverse_unambiguous": true, "second_best_gap": 0.038671505293831454, "second_distance": 0.30540843901097015, "unambiguous": true }, { "best_distance": 0.04726104126189645, "edge_kind": "resolution", "eigenfunction_mismatch": 3.5508010057472283e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j3", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04726104126189645, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j2", "reverse_second_best_gap": 0.20223004662377347, "reverse_second_distance": 0.24949108788566993, "reverse_unambiguous": true, "second_best_gap": 0.20515070909957772, "second_distance": 0.2524117503614742, "unambiguous": true }, { "best_distance": 0.0625756309991593, "edge_kind": "map", "eigenfunction_mismatch": 5.894130192329872e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j2", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0625756309991593, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j2", "reverse_second_best_gap": 0.18858221997007146, "reverse_second_distance": 0.25115785096923077, "reverse_unambiguous": true, "second_best_gap": 0.19017244354544877, "second_distance": 0.25274807454460807, "unambiguous": true }, { "best_distance": 0.2469031119253688, "edge_kind": "map", "eigenfunction_mismatch": 0.002361824419838565, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.004666288468940659, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j4", "reverse_second_best_gap": 0.2335467292792488, "reverse_second_distance": 0.23821301774818945, "reverse_unambiguous": true, "second_best_gap": 0.06790703066185022, "second_distance": 0.314810142587219, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2469031119253688, "max_resolution_difference": 0.2667369337171387, "omega_imag": -0.7338897418686964, "omega_real": 2.8780524801811324e-11, "outgoing_phase_residual": 1.0325074129013956e-14, "pencil_residual": 2.828973749274007e-15, "reference_difference": 0.745360257025526, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.003250653183352159, "transformed_residual": 7.4486936932596015e-09, "unfactored_residual": 7.70891322243321e-09 }, { "N": 20, "accepted": false, "branch_id": "branch-0197", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 2.1005885545123733e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.3920685218773745e-13, "infinity_row_residual": 1.2646939600393857e-13, "ingoing_phase_residual": 5.0341994264167686e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.3328264736656159e-05, "matching_checks": [ { "best_distance": 0.02931389598632034, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010254407136989219, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j2", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.02931389598632034, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j3", "reverse_second_best_gap": 0.19891019922160239, "reverse_second_distance": 0.22822409520792272, "reverse_unambiguous": true, "second_best_gap": 0.23655397654901184, "second_distance": 0.2658678725353322, "unambiguous": true }, { "best_distance": 0.010866755353006647, "edge_kind": "resolution", "eigenfunction_mismatch": 7.740995544458507e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j4", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.010866755353006647, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j3", "reverse_second_best_gap": 0.2317281940212737, "reverse_second_distance": 0.24259494937428036, "reverse_unambiguous": true, "second_best_gap": 0.24284206851360915, "second_distance": 0.2537088238666158, "unambiguous": true }, { "best_distance": 0.012836834123184728, "edge_kind": "map", "eigenfunction_mismatch": 1.0649432643505818e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j3", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.012836834123184728, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j3", "reverse_second_best_gap": 0.22807995823822033, "reverse_second_distance": 0.24091679236140506, "reverse_unambiguous": true, "second_best_gap": 0.24102297607444537, "second_distance": 0.2538598101976301, "unambiguous": true }, { "best_distance": 0.01602788714630181, "edge_kind": "map", "eigenfunction_mismatch": 1.3328264736656159e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j2", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.01602788714630181, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j3", "reverse_second_best_gap": 0.25272196768472954, "reverse_second_distance": 0.26874985483103137, "reverse_unambiguous": true, "second_best_gap": 0.23343436230881187, "second_distance": 0.2494622494551137, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01602788714630181, "max_resolution_difference": 0.02931389598632034, "omega_imag": -0.9571338529806082, "omega_real": 0.21326523626829474, "outgoing_phase_residual": 7.833614787058502e-15, "pencil_residual": 1.4802973660292445e-15, "reference_difference": 0.8828658147031198, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00010254407136989219, "transformed_residual": 2.666362430229162e-10, "unfactored_residual": 2.2512598160777592e-10 }, { "N": 20, "accepted": false, "branch_id": "branch-0198", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 7.520958666856413e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.271225494691062e-13, "infinity_row_residual": 3.0059889113508217e-13, "ingoing_phase_residual": 7.191754927509313e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 4.832451845793173e-06, "matching_checks": [ { "best_distance": 0.018335897890272932, "edge_kind": "resolution", "eigenfunction_mismatch": 7.249278514598334e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j3", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.018335897890272932, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j4", "reverse_second_best_gap": 0.20284606582563813, "reverse_second_distance": 0.22118196371591106, "reverse_unambiguous": true, "second_best_gap": 0.2098881973176498, "second_distance": 0.22822409520792272, "unambiguous": true }, { "best_distance": 0.0021707446340290737, "edge_kind": "resolution", "eigenfunction_mismatch": 9.736921559033718e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j5", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0021707446340290737, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j4", "reverse_second_best_gap": 0.23141475232053846, "reverse_second_distance": 0.23358549695456754, "reverse_unambiguous": true, "second_best_gap": 0.231750465511811, "second_distance": 0.23392121014584008, "unambiguous": true }, { "best_distance": 0.0024991981358940692, "edge_kind": "map", "eigenfunction_mismatch": 1.300267879478234e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j4", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0024991981358940692, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j4", "reverse_second_best_gap": 0.23091518166162386, "reverse_second_distance": 0.23341437979751795, "reverse_unambiguous": true, "second_best_gap": 0.23141383083230405, "second_distance": 0.23391302896819813, "unambiguous": true }, { "best_distance": 0.004666288468940659, "edge_kind": "map", "eigenfunction_mismatch": 4.832451845793173e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004666288468940659, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j4", "reverse_second_best_gap": 0.2335467292792488, "reverse_second_distance": 0.23821301774818945, "reverse_unambiguous": true, "second_best_gap": 0.2295365557492226, "second_distance": 0.23420284421816326, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004666288468940659, "max_resolution_difference": 0.018335897890272932, "omega_imag": -0.7062154656723054, "omega_real": 0.24872105173940554, "outgoing_phase_residual": 1.0007415106216803e-14, "pencil_residual": 3.0368184465959368e-15, "reference_difference": 0.6297730637072245, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.249278514598334e-05, "transformed_residual": 2.026503287832135e-09, "unfactored_residual": 2.0087726656448246e-09 }, { "N": 20, "accepted": false, "branch_id": "branch-0199", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 1.5010931082060938e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4842270079411755e-13, "infinity_row_residual": 5.831546426823045e-13, "ingoing_phase_residual": 9.924986654467131e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.550173597322015e-07, "matching_checks": [ { "best_distance": 0.0025796534390907806, "edge_kind": "resolution", "eigenfunction_mismatch": 9.230815298133521e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j4", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0025796534390907806, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j5", "reverse_second_best_gap": 0.20593020842341253, "reverse_second_distance": 0.2085098618625033, "reverse_unambiguous": true, "second_best_gap": 0.20659939100922858, "second_distance": 0.20917904444831936, "unambiguous": true }, { "best_distance": 0.00012561553745579816, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1511633474524672e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j6", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00012561553745579816, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j5", "reverse_second_best_gap": 0.20922095430783255, "reverse_second_distance": 0.20934656984528835, "reverse_unambiguous": true, "second_best_gap": 0.20909634370752425, "second_distance": 0.20922195924498005, "unambiguous": true }, { "best_distance": 0.00013381517218619785, "edge_kind": "map", "eigenfunction_mismatch": 2.4391082931174424e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j5", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00013381517218619785, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j5", "reverse_second_best_gap": 0.20922091585312294, "reverse_second_distance": 0.20935473102530913, "reverse_unambiguous": true, "second_best_gap": 0.20908818642595406, "second_distance": 0.20922200159814025, "unambiguous": true }, { "best_distance": 0.0005212347937475722, "edge_kind": "map", "eigenfunction_mismatch": 3.550173597322015e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j4", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005212347937475722, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j5", "reverse_second_best_gap": 0.2085418915963845, "reverse_second_distance": 0.20906312639013208, "reverse_unambiguous": true, "second_best_gap": 0.20871060912345138, "second_distance": 0.20923184391719896, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005212347937475722, "max_resolution_difference": 0.0025796534390907806, "omega_imag": -0.47810381789320994, "omega_real": 0.3010946239959082, "outgoing_phase_residual": 1.3321866733282935e-14, "pencil_residual": 5.179607072438542e-15, "reference_difference": 0.39585166216313555, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.230815298133521e-06, "transformed_residual": 8.906544445270765e-09, "unfactored_residual": 1.0858249148468385e-08 }, { "N": 20, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 1.552782664646631e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.848191319719572e-13, "infinity_row_residual": 8.342029267850633e-13, "ingoing_phase_residual": 1.080673226666261e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.333333443653828e-09, "matching_checks": [ { "best_distance": 0.00011929058399524437, "edge_kind": "resolution", "eigenfunction_mismatch": 1.532831613859642e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.0:j5", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00011929058399524437, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j6", "reverse_second_best_gap": 0.18683969154098481, "reverse_second_distance": 0.18695898212498005, "reverse_unambiguous": true, "second_best_gap": 0.18678831109850919, "second_distance": 0.18690760168250442, "unambiguous": true }, { "best_distance": 1.9271883523633166e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 3.689171190757179e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j7", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9271883523633166e-06, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j6", "reverse_second_best_gap": 0.186905702260767, "reverse_second_distance": 0.18690762944911937, "reverse_unambiguous": true, "second_best_gap": 0.18690683071873265, "second_distance": 0.18690875790708503, "unambiguous": true }, { "best_distance": 1.9695853672618494e-06, "edge_kind": "map", "eigenfunction_mismatch": 3.849676133427238e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c0.7:j6", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.9695853672618494e-06, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j6", "reverse_second_best_gap": 0.18690561585754722, "reverse_second_distance": 0.1869075854429145, "reverse_unambiguous": true, "second_best_gap": 0.18690678833816352, "second_distance": 0.1869087579235308, "unambiguous": true }, { "best_distance": 1.184576352427632e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.333333443653828e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j5", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.184576352427632e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j6", "reverse_second_best_gap": 0.18688639995820633, "reverse_second_distance": 0.1868982457217306, "reverse_unambiguous": true, "second_best_gap": 0.18689689844097626, "second_distance": 0.18690874420450054, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.184576352427632e-05, "max_resolution_difference": 0.00011929058399524437, "omega_imag": -0.2739165778388238, "omega_real": 0.3467123704973787, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 5.9395199212300266e-15, "reference_difference": 0.1869087576719785, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.532831613859642e-07, "transformed_residual": 1.6461991841478604e-08, "unfactored_residual": 2.4157110176974628e-08 }, { "N": 20, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 6.4989938695313155e-09, "failure_reasons": [], "horizon_row_residual": 1.912228612641005e-13, "infinity_row_residual": 1.951530895947585e-12, "ingoing_phase_residual": 9.235201557107093e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 7.494005416219807e-14, "matching_checks": [ { "best_distance": 1.417964264039908e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 6.420364240256049e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N12:c1.0:j6", "peer_configuration": [ "schwarzschild", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.417964264039908e-06, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j7", "reverse_second_best_gap": 0.1869061837182404, "reverse_second_distance": 0.18690760168250442, "reverse_unambiguous": true, "second_best_gap": 0.18695756416071602, "second_distance": 0.18695898212498005, "unambiguous": true }, { "best_distance": 4.8223416922454165e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 8.881784197001252e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j8", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.8223416922454165e-09, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j7", "reverse_second_best_gap": 0.18690875308474333, "reverse_second_distance": 0.18690875790708503, "reverse_unambiguous": true, "second_best_gap": 0.18690762462677768, "second_distance": 0.18690762944911937, "unambiguous": true }, { "best_distance": 4.8734398616674616e-09, "edge_kind": "map", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c0.7:j7", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.8734398616674616e-09, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j7", "reverse_second_best_gap": 0.18690875305009091, "reverse_second_distance": 0.1869087579235308, "reverse_unambiguous": true, "second_best_gap": 0.18690758056947462, "second_distance": 0.1869075854429145, "unambiguous": true }, { "best_distance": 4.5960051565212105e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.494005416219807e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.4:j6", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.5960051565212105e-08, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.0:j7", "reverse_second_best_gap": 0.18690869824444897, "reverse_second_distance": 0.18690874420450054, "reverse_unambiguous": true, "second_best_gap": 0.18689819976167904, "second_distance": 0.1868982457217306, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.5960051565212105e-08, "max_resolution_difference": 1.417964264039908e-06, "omega_imag": -0.0889623180794582, "omega_real": 0.3736716801189424, "outgoing_phase_residual": 1.956723297457084e-14, "pencil_residual": 7.581722497935464e-15, "reference_difference": 4.919029738548344e-09, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 6.420364240256049e-11, "transformed_residual": 1.0913392481232509e-08, "unfactored_residual": 1.3761108601941672e-08 }, { "N": 20, "accepted": false, "branch_id": "branch-0200", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.0002773455576831727, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.3932902029177846e-12, "infinity_row_residual": 1.0451122014755778e-13, "ingoing_phase_residual": 3.3881723993101076e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.019680429205461314, "matching_checks": [ { "best_distance": 0.038104116113913844, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005115791436266615, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j0", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.038104116113913844, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j0", "reverse_second_best_gap": 0.08421851889868749, "reverse_second_distance": 0.12232263501260134, "reverse_unambiguous": true, "second_best_gap": 0.33338592278586826, "second_distance": 0.3714900388997821, "unambiguous": true }, { "best_distance": 0.050059085533293496, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008049942333328564, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j1", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.050059085533293496, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j0", "reverse_second_best_gap": 0.0842185188986875, "reverse_second_distance": 0.134277604431981, "reverse_unambiguous": true, "second_best_gap": 0.0516335473337762, "second_distance": 0.1016926328670697, "unambiguous": true }, { "best_distance": 0.09087013019165127, "edge_kind": "map", "eigenfunction_mismatch": 0.019680429205461314, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j1", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.09087013019165127, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j0", "reverse_second_best_gap": 0.0842185188986875, "reverse_second_distance": 0.17508864909033878, "reverse_unambiguous": true, "second_best_gap": 0.021792664409854196, "second_distance": 0.11266279460150547, "unambiguous": true }, { "best_distance": 0.0549632936780558, "edge_kind": "map", "eigenfunction_mismatch": 0.009349319193853178, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j1", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0549632936780558, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j0", "reverse_second_best_gap": 0.08421851889868748, "reverse_second_distance": 0.13918181257674328, "reverse_unambiguous": true, "second_best_gap": 0.04576394763850129, "second_distance": 0.1007272413165571, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.09087013019165127, "max_resolution_difference": 0.050059085533293496, "omega_imag": -0.13929688615748867, "omega_real": 6.781382896894561e-15, "outgoing_phase_residual": 5.3818061118704463e-14, "pencil_residual": 3.090695759605352e-15, "reference_difference": 0.37704654450089486, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.008049942333328564, "transformed_residual": 0.0011507459210208727, "unfactored_residual": 0.012840162106378604 }, { "N": 20, "accepted": false, "branch_id": "branch-0201", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 0.006311093487150184, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 7.299686021662765e-11, "infinity_row_residual": 6.09434546621557e-14, "ingoing_phase_residual": 1.9195632617458047e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.05616038718847405, "matching_checks": [ { "best_distance": 0.12232263501260134, "edge_kind": "resolution", "eigenfunction_mismatch": 0.12511496250362486, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j0", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.038104116113913844, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j0", "reverse_second_best_gap": 0.08421851889868749, "reverse_second_distance": 0.12232263501260134, "reverse_unambiguous": true, "second_best_gap": 0.2528769135846612, "second_distance": 0.3751995485972625, "unambiguous": true }, { "best_distance": 0.0174741139683822, "edge_kind": "resolution", "eigenfunction_mismatch": 0.015996820661268174, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j0", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0174741139683822, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j1", "reverse_second_best_gap": 0.0842185188986875, "reverse_second_distance": 0.1016926328670697, "reverse_unambiguous": true, "second_best_gap": 0.11680349046359881, "second_distance": 0.134277604431981, "unambiguous": true }, { "best_distance": 0.02844427570281797, "edge_kind": "map", "eigenfunction_mismatch": 0.05616038718847405, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j0", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02844427570281797, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j1", "reverse_second_best_gap": 0.0842185188986875, "reverse_second_distance": 0.11266279460150547, "reverse_unambiguous": true, "second_best_gap": 0.14664437338752082, "second_distance": 0.17508864909033878, "unambiguous": true }, { "best_distance": 0.016508722417869603, "edge_kind": "map", "eigenfunction_mismatch": 0.013973415645566645, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j0", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.016508722417869603, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j1", "reverse_second_best_gap": 0.08421851889868749, "reverse_second_distance": 0.1007272413165571, "reverse_unambiguous": true, "second_best_gap": 0.12267309015887368, "second_distance": 0.13918181257674328, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02844427570281797, "max_resolution_difference": 0.12232263501260134, "omega_imag": -0.05507836725880118, "omega_real": 4.132276050617899e-14, "outgoing_phase_residual": 1.3616191507637154e-13, "pencil_residual": 5.53577069046667e-15, "reference_difference": 0.3752048103329724, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.12511496250362486, "transformed_residual": 0.047922498217555086, "unfactored_residual": 0.9828228314028797 }, { "N": 20, "accepted": false, "branch_id": "branch-0202", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 1.0317251141229178e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 8.276232053105728e-13, "infinity_row_residual": 3.604064676758638e-13, "ingoing_phase_residual": 4.952220005041851e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 4.539643981726904e-05, "matching_checks": [ { "best_distance": 0.1430997977119617, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0008498680748930676, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j2", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.12876105570554397, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j3", "reverse_second_best_gap": 0.014338742006417743, "reverse_second_distance": 0.1430997977119617, "reverse_unambiguous": true, "second_best_gap": 0.1589339013348197, "second_distance": 0.3020336990467814, "unambiguous": true }, { "best_distance": 0.016617538965686938, "edge_kind": "resolution", "eigenfunction_mismatch": 1.3415576238351434e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j2", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.016617538965686938, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j2", "reverse_second_best_gap": 0.23294291631353634, "reverse_second_distance": 0.24956045527922327, "reverse_unambiguous": true, "second_best_gap": 0.2514045837707738, "second_distance": 0.26802212273646076, "unambiguous": true }, { "best_distance": 0.02787341537171339, "edge_kind": "map", "eigenfunction_mismatch": 4.539643981726904e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j3", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02787341537171339, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j2", "reverse_second_best_gap": 0.20906562075864982, "reverse_second_distance": 0.2369390361303632, "reverse_unambiguous": true, "second_best_gap": 0.24136822602762537, "second_distance": 0.26924164139933876, "unambiguous": true }, { "best_distance": 0.01602788714630181, "edge_kind": "map", "eigenfunction_mismatch": 1.3328264736656159e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j3", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01602788714630181, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j2", "reverse_second_best_gap": 0.23343436230881187, "reverse_second_distance": 0.2494622494551137, "reverse_unambiguous": true, "second_best_gap": 0.25272196768472954, "second_distance": 0.26874985483103137, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02787341537171339, "max_resolution_difference": 0.1430997977119617, "omega_imag": -0.9716097299117105, "omega_real": 0.20638467281388442, "outgoing_phase_residual": 7.490509454225691e-15, "pencil_residual": 4.133601821317374e-15, "reference_difference": 0.8983603965478442, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0008498680748930676, "transformed_residual": 1.928512931774013e-09, "unfactored_residual": 1.6185120675851584e-09 }, { "N": 20, "accepted": false, "branch_id": "branch-0203", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 3.856995492494715e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.167782224593918e-13, "infinity_row_residual": 3.7394788629586366e-13, "ingoing_phase_residual": 7.167423249194626e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 9.724779163722275e-06, "matching_checks": [ { "best_distance": 0.03990820834770483, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0005387990970986412, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j1", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03990820834770483, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j3", "reverse_second_best_gap": 0.1637753010673532, "reverse_second_distance": 0.20368350941505803, "reverse_unambiguous": true, "second_best_gap": 0.08885284735783913, "second_distance": 0.12876105570554397, "unambiguous": true }, { "best_distance": 0.0041210755327783484, "edge_kind": "resolution", "eigenfunction_mismatch": 3.926332112436093e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j3", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0041210755327783484, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j3", "reverse_second_best_gap": 0.23080124060942392, "reverse_second_distance": 0.23492231614220227, "reverse_unambiguous": true, "second_best_gap": 0.23409720856228472, "second_distance": 0.23821828409506307, "unambiguous": true }, { "best_distance": 0.0066046156823789575, "edge_kind": "map", "eigenfunction_mismatch": 9.724779163722275e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j4", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0066046156823789575, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j3", "reverse_second_best_gap": 0.22697092227213858, "reverse_second_distance": 0.23357553795451755, "reverse_unambiguous": true, "second_best_gap": 0.23033442044798424, "second_distance": 0.2369390361303632, "unambiguous": true }, { "best_distance": 0.004666288468940659, "edge_kind": "map", "eigenfunction_mismatch": 4.832451845793173e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j4", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004666288468940659, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j3", "reverse_second_best_gap": 0.2295365557492226, "reverse_second_distance": 0.23420284421816326, "reverse_unambiguous": true, "second_best_gap": 0.2335467292792488, "second_distance": 0.23821301774818945, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0066046156823789575, "max_resolution_difference": 0.03990820834770483, "omega_imag": -0.7097923501611535, "omega_real": 0.24572436266163877, "outgoing_phase_residual": 1.0103067649807669e-14, "pencil_residual": 3.577240780896201e-15, "reference_difference": 0.6338773137188392, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0005387990970986412, "transformed_residual": 1.6816272632588895e-08, "unfactored_residual": 1.6642629852212454e-08 }, { "N": 20, "accepted": false, "branch_id": "branch-0204", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 8.050688447895573e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.0282111836608465e-13, "infinity_row_residual": 3.660665769174301e-13, "ingoing_phase_residual": 9.938590749284465e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 4.349011337723141e-07, "matching_checks": [ { "best_distance": 0.008449222576577159, "edge_kind": "resolution", "eigenfunction_mismatch": 7.413037922465726e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j3", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008449222576577159, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j4", "reverse_second_best_gap": 0.19726300594094323, "reverse_second_distance": 0.20571222851752038, "reverse_unambiguous": true, "second_best_gap": 0.19523428683848087, "second_distance": 0.20368350941505803, "unambiguous": true }, { "best_distance": 0.0004692937215526964, "edge_kind": "resolution", "eigenfunction_mismatch": 2.8641205174206874e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j4", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004692937215526964, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j4", "reverse_second_best_gap": 0.2087565176056013, "reverse_second_distance": 0.20922581132715398, "reverse_unambiguous": true, "second_best_gap": 0.20859447213936252, "second_distance": 0.2090637658609152, "unambiguous": true }, { "best_distance": 0.0005733960535972242, "edge_kind": "map", "eigenfunction_mismatch": 4.349011337723141e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j5", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0005733960535972242, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j4", "reverse_second_best_gap": 0.20879222447243928, "reverse_second_distance": 0.2093656205260365, "reverse_unambiguous": true, "second_best_gap": 0.2084907734813131, "second_distance": 0.2090641695349103, "unambiguous": true }, { "best_distance": 0.0005212347937475722, "edge_kind": "map", "eigenfunction_mismatch": 3.550173597322015e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j5", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005212347937475722, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j4", "reverse_second_best_gap": 0.20871060912345138, "reverse_second_distance": 0.20923184391719896, "reverse_unambiguous": true, "second_best_gap": 0.2085418915963845, "second_distance": 0.20906312639013208, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005733960535972242, "max_resolution_difference": 0.008449222576577159, "omega_imag": -0.47784093952759554, "omega_real": 0.30064453436582883, "outgoing_phase_residual": 1.3245314312543799e-14, "pencil_residual": 3.0026227995243742e-15, "reference_difference": 0.3956760653911206, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.413037922465726e-05, "transformed_residual": 8.306868276250736e-08, "unfactored_residual": 1.0137308381962571e-07 }, { "N": 20, "accepted": false, "branch_id": "branch-0205", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 9.655763749299413e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.3651968052800565e-14, "infinity_row_residual": 5.134771299379264e-13, "ingoing_phase_residual": 1.0806539121493393e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.3333333326315255e-09, "matching_checks": [ { "best_distance": 0.0004789956844855351, "edge_kind": "resolution", "eigenfunction_mismatch": 2.02296409090863e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j4", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004789956844855351, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j5", "reverse_second_best_gap": 0.18614296561612292, "reverse_second_distance": 0.18662196130060846, "reverse_unambiguous": true, "second_best_gap": 0.18642343726316826, "second_distance": 0.1869024329476538, "unambiguous": true }, { "best_distance": 1.1113047842943669e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1686334122629205e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j5", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1113047842943669e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j5", "reverse_second_best_gap": 0.1868970221853252, "reverse_second_distance": 0.18690813523316813, "reverse_unambiguous": true, "second_best_gap": 0.18688713179620178, "second_distance": 0.18689824484404471, "unambiguous": true }, { "best_distance": 1.1702746168821218e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.2970442497817203e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j6", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1702746168821218e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j5", "reverse_second_best_gap": 0.18689587221526485, "reverse_second_distance": 0.18690757496143368, "reverse_unambiguous": true, "second_best_gap": 0.1868865462126252, "second_distance": 0.18689824895879403, "unambiguous": true }, { "best_distance": 1.184576352427632e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.3333333326315255e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j6", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.184576352427632e-05, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j5", "reverse_second_best_gap": 0.18689689844097626, "reverse_second_distance": 0.18690874420450054, "reverse_unambiguous": true, "second_best_gap": 0.18688639995820633, "second_distance": 0.1868982457217306, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.184576352427632e-05, "max_resolution_difference": 0.0004789956844855351, "omega_imag": -0.2739069671558188, "omega_real": 0.3467192955883998, "outgoing_phase_residual": 1.6948728110190333e-14, "pencil_residual": 3.2719088675356835e-15, "reference_difference": 0.18689824870723395, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.02296409090863e-06, "transformed_residual": 1.7630959498149747e-07, "unfactored_residual": 2.587227856195494e-07 }, { "N": 20, "accepted": false, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N20:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 4.989241772472075e-08, "failure_reasons": [ "matching:resolution:frequency_difference" ], "horizon_row_residual": 8.736932140726786e-14, "infinity_row_residual": 9.585969680883688e-13, "ingoing_phase_residual": 9.2352008233467e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 7.494005416219807e-14, "matching_checks": [ { "best_distance": 6.948837600810351e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.000041021688048e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N12:c1.4:j5", "peer_configuration": [ "schwarzschild", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.948837600810351e-06, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j6", "reverse_second_best_gap": 0.186895484110053, "reverse_second_distance": 0.1869024329476538, "reverse_unambiguous": true, "second_best_gap": 0.18661501246300766, "second_distance": 0.18662196130060846, "unambiguous": true }, { "best_distance": 4.424533906914129e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 6.94999613415348e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j6", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.424533906914129e-08, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j6", "reverse_second_best_gap": 0.18689820059870565, "reverse_second_distance": 0.18689824484404471, "reverse_unambiguous": true, "second_best_gap": 0.18690809098782907, "second_distance": 0.18690813523316813, "unambiguous": true }, { "best_distance": 4.333478658305816e-08, "edge_kind": "map", "eigenfunction_mismatch": 6.616929226765933e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c0.7:j7", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.333478658305816e-08, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j6", "reverse_second_best_gap": 0.18689820562400744, "reverse_second_distance": 0.18689824895879403, "reverse_unambiguous": true, "second_best_gap": 0.18690753162664708, "second_distance": 0.18690757496143368, "unambiguous": true }, { "best_distance": 4.5960051565212105e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.494005416219807e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.0:j7", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.5960051565212105e-08, "reverse_nearest_candidate_id": "schwarzschild:N20:c1.4:j6", "reverse_second_best_gap": 0.18689819976167904, "reverse_second_distance": 0.1868982457217306, "reverse_unambiguous": true, "second_best_gap": 0.18690869824444897, "second_distance": 0.18690874420450054, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 4.5960051565212105e-08, "max_resolution_difference": 6.948837600810351e-06, "omega_imag": -0.0889623349061873, "omega_real": 0.37367172288794437, "outgoing_phase_residual": 1.957043648773609e-14, "pencil_residual": 3.0939559345923047e-15, "reference_difference": 4.300274596378512e-08, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.000041021688048e-09, "transformed_residual": 1.4252730871226232e-07, "unfactored_residual": 1.7971791932145471e-07 }, { "N": 24, "accepted": false, "branch_id": "branch-0206", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.0005638257158701722, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.937736023198109e-11, "infinity_row_residual": 9.761302714698916e-14, "ingoing_phase_residual": 1.8265158838182138e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.029525397367310857, "matching_checks": [ { "best_distance": 0.01800328822535508, "edge_kind": "resolution", "eigenfunction_mismatch": 0.029059992531214496, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j0", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01800328822535508, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j0", "reverse_second_best_gap": 0.108038317054033, "reverse_second_distance": 0.12604160527938807, "reverse_unambiguous": true, "second_best_gap": 0.16752634834244656, "second_distance": 0.18552963656780164, "unambiguous": true }, { "best_distance": 0.01890860161056293, "edge_kind": "resolution", "eigenfunction_mismatch": 0.013612526284514481, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j1", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01890860161056293, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j0", "reverse_second_best_gap": 0.07022111383290712, "reverse_second_distance": 0.08912971544347005, "reverse_unambiguous": true, "second_best_gap": 0.022279885157800466, "second_distance": 0.0411884867683634, "unambiguous": true }, { "best_distance": 0.01811651022665081, "edge_kind": "map", "eigenfunction_mismatch": 0.029525397367310857, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j1", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01811651022665081, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j0", "reverse_second_best_gap": 0.10803831705403297, "reverse_second_distance": 0.12615482728068378, "reverse_unambiguous": true, "second_best_gap": 0.002045717979791195, "second_distance": 0.020162228206442007, "unambiguous": true }, { "best_distance": 0.007033126490919313, "edge_kind": "map", "eigenfunction_mismatch": 0.003282746291493388, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j0", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007033126490919313, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j0", "reverse_second_best_gap": 0.108038317054033, "reverse_second_distance": 0.1150714435449523, "reverse_unambiguous": true, "second_best_gap": 0.13768546541852456, "second_distance": 0.14471859190944386, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01811651022665081, "max_resolution_difference": 0.01890860161056293, "omega_imag": -0.04463737978133829, "omega_real": 2.2380028357970843e-13, "outgoing_phase_residual": 1.6802531588311354e-13, "pencil_residual": 1.0490459915036892e-14, "reference_difference": 0.3762914132409375, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.029059992531214496, "transformed_residual": 0.00815181834126632, "unfactored_residual": 0.2726473516010588 }, { "N": 24, "accepted": false, "branch_id": "branch-0207", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 3.5638248203169927e-06, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.5375002891036443e-12, "infinity_row_residual": 1.5389251777111407e-13, "ingoing_phase_residual": 3.853865127301237e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.012762199524336215, "matching_checks": [ { "best_distance": 0.07749131951376867, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012763448087820262, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j1", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07749131951376867, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.08286284831822213, "reverse_second_distance": 0.1603541678319908, "reverse_unambiguous": true, "second_best_gap": 0.0485502857656194, "second_distance": 0.12604160527938807, "unambiguous": true }, { "best_distance": 0.022929790458309368, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0016776142173622333, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j2", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.022929790458309368, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.10803831705403297, "reverse_second_distance": 0.13096810751234234, "reverse_unambiguous": true, "second_best_gap": 0.06619992498516068, "second_distance": 0.08912971544347005, "unambiguous": true }, { "best_distance": 0.07748610467573086, "edge_kind": "map", "eigenfunction_mismatch": 0.012762199524336215, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j2", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.07748610467573086, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.08287327799429775, "reverse_second_distance": 0.1603593826700286, "reverse_unambiguous": true, "second_best_gap": 0.010389984171860114, "second_distance": 0.08787608884759097, "unambiguous": true }, { "best_distance": 0.036680274855410894, "edge_kind": "map", "eigenfunction_mismatch": 0.003857963973770251, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j1", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.036680274855410894, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.10803831705403297, "reverse_second_distance": 0.14471859190944386, "reverse_unambiguous": true, "second_best_gap": 0.07839116868954141, "second_distance": 0.1150714435449523, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07748610467573086, "max_resolution_difference": 0.07749131951376867, "omega_imag": -0.15267569683537127, "omega_real": 1.3610667983560041e-12, "outgoing_phase_residual": 4.912736883966318e-14, "pencil_residual": 3.0597283345059747e-15, "reference_difference": 0.379064536288889, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012763448087820262, "transformed_residual": 1.9741979880678987e-05, "unfactored_residual": 0.0001641030792892396 }, { "N": 24, "accepted": false, "branch_id": "branch-0208", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 2.8417197534003364e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.524101228463083e-13, "infinity_row_residual": 7.460622773659905e-14, "ingoing_phase_residual": 2.6666736402392033e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.02239497060194595, "matching_checks": [ { "best_distance": 0.1603541678319908, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00981665549765609, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j1", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.07749131951376867, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.08286284831822213, "reverse_second_distance": 0.1603541678319908, "reverse_unambiguous": true, "second_best_gap": 0.12043875885641553, "second_distance": 0.28079292668840633, "unambiguous": true }, { "best_distance": 0.007100910757272435, "edge_kind": "resolution", "eigenfunction_mismatch": 4.2968448746849575e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j3", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007100910757272435, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j2", "reverse_second_best_gap": 0.20579450839964192, "reverse_second_distance": 0.21289541915691435, "reverse_unambiguous": true, "second_best_gap": 0.20781478613017768, "second_distance": 0.2149156968874501, "unambiguous": true }, { "best_distance": 0.1603593826700286, "edge_kind": "map", "eigenfunction_mismatch": 0.009817755594005662, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j2", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.07748610467573086, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.08287327799429775, "reverse_second_distance": 0.1603593826700286, "reverse_unambiguous": true, "second_best_gap": 0.13574813375564057, "second_distance": 0.2961075164256692, "unambiguous": true }, { "best_distance": 0.20116521249034858, "edge_kind": "map", "eigenfunction_mismatch": 0.02239497060194595, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j1", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.036680274855410894, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j1", "reverse_second_best_gap": 0.10803831705403297, "reverse_second_distance": 0.14471859190944386, "reverse_unambiguous": true, "second_best_gap": 0.11235585881993465, "second_distance": 0.31352107131028323, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.20116521249034858, "max_resolution_difference": 0.1603541678319908, "omega_imag": -0.39052118418113074, "omega_real": 2.599831067434313e-12, "outgoing_phase_residual": 1.9206858326015208e-14, "pencil_residual": 5.073580035227654e-16, "reference_difference": 0.4801752585256415, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00981665549765609, "transformed_residual": 4.568355157989611e-08, "unfactored_residual": 8.188351918467404e-08 }, { "N": 24, "accepted": false, "branch_id": "branch-0209", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 1.4349802407332658e-09, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 6.232874830533382e-13, "infinity_row_residual": 1.134201743459735e-13, "ingoing_phase_residual": 1.0370935032977258e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.002340896520024782, "matching_checks": [ { "best_distance": 0.06079659677421956, "edge_kind": "resolution", "eigenfunction_mismatch": 3.1608656884341e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j2", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06079659677421956, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j3", "reverse_second_best_gap": 0.19337119843380834, "reverse_second_distance": 0.2541677952080279, "reverse_unambiguous": true, "second_best_gap": 0.20800080491203665, "second_distance": 0.2687974016862562, "unambiguous": true }, { "best_distance": 0.21289541915691435, "edge_kind": "resolution", "eigenfunction_mismatch": 0.000470407128413064, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j3", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.007100910757272435, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j2", "reverse_second_best_gap": 0.20579450839964192, "reverse_second_distance": 0.21289541915691435, "reverse_unambiguous": true, "second_best_gap": 0.055896644061164846, "second_distance": 0.2687920632180792, "unambiguous": true }, { "best_distance": 0.07611118651148241, "edge_kind": "map", "eigenfunction_mismatch": 5.366155487263047e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j3", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.07611118651148241, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j3", "reverse_second_best_gap": 0.1764659977635279, "reverse_second_distance": 0.2525771842750103, "reverse_unambiguous": true, "second_best_gap": 0.19241753208633927, "second_distance": 0.2685287185978217, "unambiguous": true }, { "best_distance": 0.2667496769498434, "edge_kind": "map", "eigenfunction_mismatch": 0.002340896520024782, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j3", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.00358711103235342, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j5", "reverse_second_best_gap": 0.23100908963297048, "reverse_second_distance": 0.2345962006653239, "reverse_unambiguous": true, "second_best_gap": 0.0621359900432758, "second_distance": 0.3288856669931192, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2667496769498434, "max_resolution_difference": 0.21289541915691435, "omega_imag": -0.6105175140953175, "omega_real": 6.563146320341041e-12, "outgoing_phase_residual": 1.2434497875801753e-14, "pencil_residual": 7.432240095090183e-16, "reference_difference": 0.6415998384629098, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.000470407128413064, "transformed_residual": 8.878853694594073e-10, "unfactored_residual": 9.252573241722008e-10 }, { "N": 24, "accepted": false, "branch_id": "branch-0210", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 1.010303650959515e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.8614532007162446e-13, "infinity_row_residual": 1.4961071627337504e-13, "ingoing_phase_residual": 5.130095602032445e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.587906233191383e-05, "matching_checks": [ { "best_distance": 0.007933735993583152, "edge_kind": "resolution", "eigenfunction_mismatch": 3.894113037028468e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j3", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007933735993583152, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j4", "reverse_second_best_gap": 0.23439922408410507, "reverse_second_distance": 0.24233296007768823, "reverse_unambiguous": true, "second_best_gap": 0.23603319256208286, "second_distance": 0.243966928555666, "unambiguous": true }, { "best_distance": 0.004352729620963633, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1352645808981876e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j4", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004352729620963633, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j4", "reverse_second_best_gap": 0.24298309810354649, "reverse_second_distance": 0.24733582772451013, "reverse_unambiguous": true, "second_best_gap": 0.2407742796959785, "second_distance": 0.24512700931694215, "unambiguous": true }, { "best_distance": 0.00946221156418169, "edge_kind": "map", "eigenfunction_mismatch": 5.594326781821479e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j4", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00946221156418169, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j4", "reverse_second_best_gap": 0.2345258729975771, "reverse_second_distance": 0.2439880845617588, "reverse_unambiguous": true, "second_best_gap": 0.23434053864180093, "second_distance": 0.24380275020598263, "unambiguous": true }, { "best_distance": 0.01607448249983695, "edge_kind": "map", "eigenfunction_mismatch": 1.587906233191383e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j2", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.01607448249983695, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j4", "reverse_second_best_gap": 0.23877370076947668, "reverse_second_distance": 0.25484818326931363, "reverse_unambiguous": true, "second_best_gap": 0.22661309033879776, "second_distance": 0.2426875728386347, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01607448249983695, "max_resolution_difference": 0.007933735993583152, "omega_imag": -0.9455458183735987, "omega_real": 0.20432958053311945, "outgoing_phase_residual": 7.719244246387438e-15, "pencil_residual": 1.1498118553602212e-15, "reference_difference": 0.8731620956155266, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.894113037028468e-06, "transformed_residual": 2.0878624677093114e-12, "unfactored_residual": 1.4995548584594448e-12 }, { "N": 24, "accepted": false, "branch_id": "branch-0211", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 3.6552064030902493e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.1403760061436206e-13, "infinity_row_residual": 2.0303117549355136e-13, "ingoing_phase_residual": 7.18219331130003e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.6669640347254386e-06, "matching_checks": [ { "best_distance": 0.0010733869039168174, "edge_kind": "resolution", "eigenfunction_mismatch": 2.5227094824220586e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j4", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0010733869039168174, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j5", "reverse_second_best_gap": 0.23217132099432197, "reverse_second_distance": 0.23324470789823878, "reverse_unambiguous": true, "second_best_gap": 0.23124439783320103, "second_distance": 0.23231778473711784, "unambiguous": true }, { "best_distance": 0.000367190990060938, "edge_kind": "resolution", "eigenfunction_mismatch": 2.9679463553478058e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j5", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.000367190990060938, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j5", "reverse_second_best_gap": 0.23171365781415118, "reverse_second_distance": 0.23208084880421212, "reverse_unambiguous": true, "second_best_gap": 0.23190767657188174, "second_distance": 0.23227486756194268, "unambiguous": true }, { "best_distance": 0.0013713445596059022, "edge_kind": "map", "eigenfunction_mismatch": 4.109430032928074e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j5", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0013713445596059022, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j5", "reverse_second_best_gap": 0.23204446645417498, "reverse_second_distance": 0.2334158110137809, "reverse_unambiguous": true, "second_best_gap": 0.23095457884099346, "second_distance": 0.23232592340059938, "unambiguous": true }, { "best_distance": 0.00358711103235342, "edge_kind": "map", "eigenfunction_mismatch": 2.6669640347254386e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j3", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00358711103235342, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j5", "reverse_second_best_gap": 0.23100908963297048, "reverse_second_distance": 0.2345962006653239, "reverse_unambiguous": true, "second_best_gap": 0.22887081523705008, "second_distance": 0.2324579262694035, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00358711103235342, "max_resolution_difference": 0.0010733869039168174, "omega_imag": -0.7052872963720758, "omega_real": 0.25188705967198166, "outgoing_phase_residual": 1.0007415106216803e-14, "pencil_residual": 1.2265268439226967e-15, "reference_difference": 0.6282419729997446, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.5227094824220586e-07, "transformed_residual": 1.4136680681422684e-11, "unfactored_residual": 1.1927629231586151e-11 }, { "N": 24, "accepted": false, "branch_id": "branch-0212", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 7.615945295560049e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.809173167729843e-14, "infinity_row_residual": 3.7784116967693974e-13, "ingoing_phase_residual": 9.923361807088094e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.4236247775941706e-08, "matching_checks": [ { "best_distance": 3.6649629176888237e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.812876404549968e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c0.7:j5", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.6649629176888237e-05, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j6", "reverse_second_best_gap": 0.20931940089951984, "reverse_second_distance": 0.2093560505286967, "reverse_unambiguous": true, "second_best_gap": 0.20935507228821482, "second_distance": 0.2093917219173917, "unambiguous": true }, { "best_distance": 8.611238719183951e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 1.003432892332512e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j6", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.611238719183951e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j6", "reverse_second_best_gap": 0.2093903712772051, "reverse_second_distance": 0.2093989825159243, "reverse_unambiguous": true, "second_best_gap": 0.2093834192262321, "second_distance": 0.20939203046495128, "unambiguous": true }, { "best_distance": 4.53579298226521e-05, "edge_kind": "map", "eigenfunction_mismatch": 2.7789597289995527e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j6", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.53579298226521e-05, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j6", "reverse_second_best_gap": 0.2093025314467856, "reverse_second_distance": 0.20934788937660825, "reverse_unambiguous": true, "second_best_gap": 0.2093463216355803, "second_distance": 0.20939167956540297, "unambiguous": true }, { "best_distance": 0.00018078739362418125, "edge_kind": "map", "eigenfunction_mismatch": 4.4236247775941706e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j4", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00018078739362418125, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j6", "reverse_second_best_gap": 0.2090354524298982, "reverse_second_distance": 0.2092162398235224, "reverse_unambiguous": true, "second_best_gap": 0.20921052610609903, "second_distance": 0.2093913134997232, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00018078739362418125, "max_resolution_difference": 3.6649629176888237e-05, "omega_imag": -0.47826719249119104, "omega_real": 0.30104749316167856, "outgoing_phase_residual": 1.3245314312543799e-14, "pencil_residual": 2.0169655833053687e-15, "reference_difference": 0.39602090886424174, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.812876404549968e-09, "transformed_residual": 5.922075607919873e-11, "unfactored_residual": 6.202680018284418e-11 }, { "N": 24, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 6.509181403644527e-11, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.6145240345104213e-13, "infinity_row_residual": 8.193123024696715e-13, "ingoing_phase_residual": 1.0806778457911923e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.735778436071314e-11, "matching_checks": [ { "best_distance": 2.74929918552705e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.34190486184616e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c0.7:j6", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.74929918552705e-07, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j7", "reverse_second_best_gap": 0.18690731352072693, "reverse_second_distance": 0.18690758845064548, "reverse_unambiguous": true, "second_best_gap": 0.1869070393182696, "second_distance": 0.18690731424818816, "unambiguous": true }, { "best_distance": 3.690507992641487e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.354472090042691e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j7", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.690507992641487e-08, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j7", "reverse_second_best_gap": 0.18690724052108698, "reverse_second_distance": 0.18690727742616692, "reverse_unambiguous": true, "second_best_gap": 0.1869072770928359, "second_distance": 0.18690731399791582, "unambiguous": true }, { "best_distance": 3.2057320590628163e-07, "edge_kind": "map", "eigenfunction_mismatch": 9.97091298415853e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j7", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.2057320590628163e-07, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j7", "reverse_second_best_gap": 0.186907311883644, "reverse_second_distance": 0.1869076324568499, "reverse_unambiguous": true, "second_best_gap": 0.186906993658536, "second_distance": 0.1869073142317419, "unambiguous": true }, { "best_distance": 2.185070305725241e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.735778436071314e-11, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j5", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.185070305725241e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j7", "reverse_second_best_gap": 0.18690596365251183, "reverse_second_distance": 0.18690814872281755, "reverse_unambiguous": true, "second_best_gap": 0.18690512506305423, "second_distance": 0.18690731013335996, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.185070305725241e-06, "max_resolution_difference": 2.74929918552705e-07, "omega_imag": -0.27391491825553804, "omega_real": 0.3467109939729082, "outgoing_phase_residual": 1.6914239581928583e-14, "pencil_residual": 3.5264085777380272e-15, "reference_difference": 0.18690731399663812, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.34190486184616e-13, "transformed_residual": 8.539746798110547e-11, "unfactored_residual": 1.0845008910445947e-10 }, { "N": 24, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N24:c0.7:j8", "case": "schwarzschild", "coefficient_tail": 1.8401786032186838e-11, "failure_reasons": [], "horizon_row_residual": 6.811076398358805e-13, "infinity_row_residual": 4.086768642095368e-12, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 8.881784197001252e-16, "matching_checks": [ { "best_distance": 3.478176869500042e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c0.7:j7", "peer_configuration": [ "schwarzschild", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.478176869500042e-10, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j8", "reverse_second_best_gap": 0.18690731390037046, "reverse_second_distance": 0.18690731424818816, "reverse_unambiguous": true, "second_best_gap": 0.1869075881028278, "second_distance": 0.18690758845064548, "unambiguous": true }, { "best_distance": 2.1675875800696658e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j8", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.1675875800696658e-11, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j8", "reverse_second_best_gap": 0.18690731397623994, "reverse_second_distance": 0.18690731399791582, "reverse_unambiguous": true, "second_best_gap": 0.18690727740449103, "second_distance": 0.18690727742616692, "unambiguous": true }, { "best_distance": 3.804359451465418e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j8", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.804359451465418e-10, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j8", "reverse_second_best_gap": 0.18690731385130596, "reverse_second_distance": 0.1869073142317419, "reverse_unambiguous": true, "second_best_gap": 0.18690763207641398, "second_distance": 0.1869076324568499, "unambiguous": true }, { "best_distance": 4.53862264917992e-09, "edge_kind": "map", "eigenfunction_mismatch": 8.881784197001252e-16, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j6", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.53862264917992e-09, "reverse_nearest_candidate_id": "schwarzschild:N24:c0.7:j8", "reverse_second_best_gap": 0.1869073055947373, "reverse_second_distance": 0.18690731013335996, "reverse_unambiguous": true, "second_best_gap": 0.1869081441841949, "second_distance": 0.18690814872281755, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.53862264917992e-09, "max_resolution_difference": 3.478176869500042e-10, "omega_imag": -0.08896231566636502, "omega_real": 0.3736716844162776, "outgoing_phase_residual": 1.951965492335436e-14, "pencil_residual": 9.949431814255958e-15, "reference_difference": 2.2639524326190534e-11, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 3.704258548772977e-11, "unfactored_residual": 4.064461576746455e-11 }, { "N": 24, "accepted": false, "branch_id": "branch-0213", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.00047405230989625637, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.9249200330661714e-11, "infinity_row_residual": 1.2224899791225408e-13, "ingoing_phase_residual": 2.0253303666117883e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.03195916149485267, "matching_checks": [ { "best_distance": 0.026229963146848723, "edge_kind": "resolution", "eigenfunction_mismatch": 0.02911487578705718, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j0", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.012048775286244096, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.014181187860604627, "reverse_second_distance": 0.026229963146848723, "reverse_unambiguous": true, "second_best_gap": 0.10323060870091544, "second_distance": 0.12946057184776416, "unambiguous": true }, { "best_distance": 0.027690642113776934, "edge_kind": "resolution", "eigenfunction_mismatch": 0.013478369064399032, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j1", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.027690642113776934, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j0", "reverse_second_best_gap": 0.03827873843309282, "reverse_second_distance": 0.06596938054686975, "reverse_unambiguous": true, "second_best_gap": 0.017733499358621813, "second_distance": 0.045424141472398746, "unambiguous": true }, { "best_distance": 0.020162228206442007, "edge_kind": "map", "eigenfunction_mismatch": 0.015136122074029923, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j0", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.01811651022665081, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.002045717979791195, "reverse_second_distance": 0.020162228206442007, "reverse_unambiguous": true, "second_best_gap": 0.06771386064114897, "second_distance": 0.08787608884759097, "unambiguous": true }, { "best_distance": 0.02719535469736132, "edge_kind": "map", "eigenfunction_mismatch": 0.03195916149485267, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j0", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.011083383735731499, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.01611197096162982, "reverse_second_distance": 0.02719535469736132, "reverse_unambiguous": true, "second_best_gap": 0.09736100900564054, "second_distance": 0.12455636370300187, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02719535469736132, "max_resolution_difference": 0.027690642113776934, "omega_imag": -0.0647996079877803, "omega_real": 1.8251458086705635e-15, "outgoing_phase_residual": 1.1574075031717257e-13, "pencil_residual": 6.938930988036932e-15, "reference_difference": 0.3744520852916522, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.02911487578705718, "transformed_residual": 0.004146074029930413, "unfactored_residual": 0.12572907597191943 }, { "N": 24, "accepted": false, "branch_id": "branch-0214", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 0.007530450413421309, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.237271623825712e-10, "infinity_row_residual": 6.148135668907975e-14, "ingoing_phase_residual": 1.6936475042902965e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.029525397367310857, "matching_checks": [ { "best_distance": 0.012048775286244096, "edge_kind": "resolution", "eigenfunction_mismatch": 0.015507378011280104, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j0", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.012048775286244096, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.014181187860604627, "reverse_second_distance": 0.026229963146848723, "reverse_unambiguous": true, "second_best_gap": 0.15569053499461288, "second_distance": 0.16773931028085698, "unambiguous": true }, { "best_distance": 0.007145403039305932, "edge_kind": "resolution", "eigenfunction_mismatch": 0.010970315275986242, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j0", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.007145403039305932, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.03827873843309282, "reverse_second_distance": 0.045424141472398746, "reverse_unambiguous": true, "second_best_gap": 0.058823977507563824, "second_distance": 0.06596938054686975, "unambiguous": true }, { "best_distance": 0.01811651022665081, "edge_kind": "map", "eigenfunction_mismatch": 0.029525397367310857, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j0", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01811651022665081, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.002045717979791195, "reverse_second_distance": 0.020162228206442007, "reverse_unambiguous": true, "second_best_gap": 0.10803831705403297, "second_distance": 0.12615482728068378, "unambiguous": true }, { "best_distance": 0.011083383735731499, "edge_kind": "map", "eigenfunction_mismatch": 0.013516663334402823, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j0", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.011083383735731499, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j1", "reverse_second_best_gap": 0.01611197096162982, "reverse_second_distance": 0.02719535469736132, "reverse_unambiguous": true, "second_best_gap": 0.1517517184003632, "second_distance": 0.1628351021360947, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01811651022665081, "max_resolution_difference": 0.012048775286244096, "omega_imag": -0.02652086955468748, "omega_real": 3.2031210781540036e-14, "outgoing_phase_residual": 2.827946210537391e-13, "pencil_residual": 1.0486774485592962e-14, "reference_difference": 0.3788528235755, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.015507378011280104, "transformed_residual": 0.26173722677256117, "unfactored_residual": 0.9875322490643215 }, { "N": 24, "accepted": false, "branch_id": "branch-0215", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 1.6736263762299882e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.5435013848929656e-12, "infinity_row_residual": 1.5218967975443226e-13, "ingoing_phase_residual": 1.8904023750543342e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.012762199524336215, "matching_checks": [ { "best_distance": 0.03590162167555766, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001954122170215733, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j1", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03590162167555766, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j2", "reverse_second_best_gap": 0.0935589501722065, "reverse_second_distance": 0.12946057184776416, "reverse_unambiguous": true, "second_best_gap": 0.15569053499461288, "second_distance": 0.19159215667017054, "unambiguous": true }, { "best_distance": 0.03505516000837369, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010953438056063858, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j2", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03505516000837369, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j2", "reverse_second_best_gap": 0.16536219352332185, "reverse_second_distance": 0.20041735353169554, "reverse_unambiguous": true, "second_best_gap": 0.10261639140117121, "second_distance": 0.1376715514095449, "unambiguous": true }, { "best_distance": 0.07748610467573086, "edge_kind": "map", "eigenfunction_mismatch": 0.012762199524336215, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j1", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07748610467573086, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j2", "reverse_second_best_gap": 0.010389984171860114, "reverse_second_distance": 0.08787608884759097, "reverse_unambiguous": true, "second_best_gap": 0.08287327799429775, "second_distance": 0.1603593826700286, "unambiguous": true }, { "best_distance": 0.040805829820319967, "edge_kind": "map", "eigenfunction_mismatch": 0.0026239039626353433, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j1", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.040805829820319967, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j2", "reverse_second_best_gap": 0.0837505338826819, "reverse_second_distance": 0.12455636370300187, "reverse_unambiguous": true, "second_best_gap": 0.1517517184003632, "second_distance": 0.19255754822068316, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07748610467573086, "max_resolution_difference": 0.03590162167555766, "omega_imag": -0.23016180151110213, "omega_real": 2.27836208339685e-12, "outgoing_phase_residual": 3.2612801348363973e-14, "pencil_residual": 1.901718045529777e-15, "reference_difference": 0.3994594128701414, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001954122170215733, "transformed_residual": 8.590988219678537e-06, "unfactored_residual": 4.020263215067976e-05 }, { "N": 24, "accepted": false, "branch_id": "branch-0216", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 2.4821853428696802e-09, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.939431216890373e-12, "infinity_row_residual": 1.1003586235562839e-12, "ingoing_phase_residual": 8.553925479048985e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.002368120690867781, "matching_checks": [ { "best_distance": 0.04726104126189645, "edge_kind": "resolution", "eigenfunction_mismatch": 3.550801005769433e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j2", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04726104126189645, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j3", "reverse_second_best_gap": 0.20515070909957772, "reverse_second_distance": 0.2524117503614742, "reverse_unambiguous": true, "second_best_gap": 0.20223004662377347, "second_distance": 0.24949108788566993, "unambiguous": true }, { "best_distance": 0.2521119062775863, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002476828380614915, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j5", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.0007283988595530746, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j5", "reverse_second_best_gap": 0.23210551562707335, "reverse_second_distance": 0.23283391448662644, "reverse_unambiguous": true, "second_best_gap": 0.012728064571702558, "second_distance": 0.26483997084928884, "unambiguous": true }, { "best_distance": 0.07611118651148241, "edge_kind": "map", "eigenfunction_mismatch": 5.366155487285251e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j3", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07611118651148241, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j3", "reverse_second_best_gap": 0.19241753208633927, "reverse_second_distance": 0.2685287185978217, "reverse_unambiguous": true, "second_best_gap": 0.1764659977635279, "second_distance": 0.2525771842750103, "unambiguous": true }, { "best_distance": 0.2495376721671867, "edge_kind": "map", "eigenfunction_mismatch": 0.002368120690867781, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j3", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0022985415200549694, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j5", "reverse_second_best_gap": 0.23234181854909264, "reverse_second_distance": 0.2346403600691476, "reverse_unambiguous": true, "second_best_gap": 0.09633355363211132, "second_distance": 0.345871225799298, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2495376721671867, "max_resolution_difference": 0.2521119062775863, "omega_imag": -0.6866287006067999, "omega_real": 1.9524427361301425e-11, "outgoing_phase_residual": 1.0769163338864018e-14, "pencil_residual": 7.507674203975105e-15, "reference_difference": 0.7048656860579993, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002476828380614915, "transformed_residual": 1.7243395689396314e-09, "unfactored_residual": 1.8543635999463186e-09 }, { "N": 24, "accepted": false, "branch_id": "branch-0217", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 7.069264179296634e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.989804603638935e-13, "infinity_row_residual": 1.0954241946440185e-12, "ingoing_phase_residual": 5.106232204663088e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 8.745551660749307e-06, "matching_checks": [ { "best_distance": 0.010866755353006647, "edge_kind": "resolution", "eigenfunction_mismatch": 7.74099554412544e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j3", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.010866755353006647, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j4", "reverse_second_best_gap": 0.24284206851360915, "reverse_second_distance": 0.2537088238666158, "reverse_unambiguous": true, "second_best_gap": 0.2317281940212737, "second_distance": 0.24259494937428036, "unambiguous": true }, { "best_distance": 0.0048690484557640835, "edge_kind": "resolution", "eigenfunction_mismatch": 1.5310619358999134e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j4", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0048690484557640835, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j4", "reverse_second_best_gap": 0.23601208355407213, "reverse_second_distance": 0.2408811320098362, "reverse_unambiguous": true, "second_best_gap": 0.23863506408562807, "second_distance": 0.24350411254139215, "unambiguous": true }, { "best_distance": 0.00946221156418169, "edge_kind": "map", "eigenfunction_mismatch": 5.594326781821479e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j4", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00946221156418169, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j4", "reverse_second_best_gap": 0.23434053864180093, "reverse_second_distance": 0.24380275020598263, "reverse_unambiguous": true, "second_best_gap": 0.2345258729975771, "second_distance": 0.2439880845617588, "unambiguous": true }, { "best_distance": 0.011270475319114721, "edge_kind": "map", "eigenfunction_mismatch": 8.745551660749307e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j2", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.011270475319114721, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j4", "reverse_second_best_gap": 0.24250201140468788, "reverse_second_distance": 0.2537724867238026, "reverse_unambiguous": true, "second_best_gap": 0.23059539824960507, "second_distance": 0.24186587356871977, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.011270475319114721, "max_resolution_difference": 0.010866755353006647, "omega_imag": -0.9462785214064143, "omega_real": 0.21376338114321486, "outgoing_phase_residual": 7.743158934485841e-15, "pencil_residual": 8.400961685994566e-15, "reference_difference": 0.872101910353399, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.74099554412544e-06, "transformed_residual": 1.9174362798781106e-11, "unfactored_residual": 1.6003562157727504e-11 }, { "N": 24, "accepted": false, "branch_id": "branch-0218", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 2.853955186155227e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.8777589240805312e-13, "infinity_row_residual": 1.231126533090477e-12, "ingoing_phase_residual": 7.177275208568235e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.0624436577177931e-06, "matching_checks": [ { "best_distance": 0.0021707446340290737, "edge_kind": "resolution", "eigenfunction_mismatch": 9.736921559033718e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j4", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0021707446340290737, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j5", "reverse_second_best_gap": 0.231750465511811, "reverse_second_distance": 0.23392121014584008, "reverse_unambiguous": true, "second_best_gap": 0.23141475232053846, "second_distance": 0.23358549695456754, "unambiguous": true }, { "best_distance": 0.0007283988595530746, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1551306666746086e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j5", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0007283988595530746, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j5", "reverse_second_best_gap": 0.23210551562707335, "reverse_second_distance": 0.23283391448662644, "reverse_unambiguous": true, "second_best_gap": 0.23269424887132692, "second_distance": 0.23342264773088, "unambiguous": true }, { "best_distance": 0.0013713445596059022, "edge_kind": "map", "eigenfunction_mismatch": 4.109430032928074e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j5", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0013713445596059022, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j5", "reverse_second_best_gap": 0.23095457884099346, "reverse_second_distance": 0.23232592340059938, "reverse_unambiguous": true, "second_best_gap": 0.23204446645417498, "second_distance": 0.2334158110137809, "unambiguous": true }, { "best_distance": 0.0022985415200549694, "edge_kind": "map", "eigenfunction_mismatch": 1.0624436577177931e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j3", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0022985415200549694, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j5", "reverse_second_best_gap": 0.23234181854909264, "reverse_second_distance": 0.2346403600691476, "reverse_unambiguous": true, "second_best_gap": 0.23129316984144624, "second_distance": 0.2335917113615012, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0022985415200549694, "max_resolution_difference": 0.0021707446340290737, "omega_imag": -0.7062306579369135, "omega_real": 0.2508917432101729, "outgoing_phase_residual": 9.884258910959168e-15, "pencil_residual": 8.051913108352625e-15, "reference_difference": 0.6293608824073629, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.736921559033718e-07, "transformed_residual": 1.582071911241585e-10, "unfactored_residual": 1.5397676156989082e-10 }, { "N": 24, "accepted": false, "branch_id": "branch-0219", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 6.504748386027369e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.616700996761155e-14, "infinity_row_residual": 1.41319655817641e-12, "ingoing_phase_residual": 9.92359609756806e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.7365338328699806e-08, "matching_checks": [ { "best_distance": 0.00012561553745579816, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1511633474524672e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.0:j5", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00012561553745579816, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j6", "reverse_second_best_gap": 0.20909634370752425, "reverse_second_distance": 0.20922195924498005, "reverse_unambiguous": true, "second_best_gap": 0.20922095430783255, "second_distance": 0.20934656984528835, "unambiguous": true }, { "best_distance": 3.742079515947095e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8885975006099898e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j6", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.742079515947095e-05, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j6", "reverse_second_best_gap": 0.20934737562947722, "reverse_second_distance": 0.2093847964246367, "reverse_unambiguous": true, "second_best_gap": 0.20931046494271618, "second_distance": 0.20934788573787566, "unambiguous": true }, { "best_distance": 4.53579298226521e-05, "edge_kind": "map", "eigenfunction_mismatch": 2.7789597289995527e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j6", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.53579298226521e-05, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j6", "reverse_second_best_gap": 0.2093463216355803, "reverse_second_distance": 0.20939167956540297, "reverse_unambiguous": true, "second_best_gap": 0.2093025314467856, "second_distance": 0.20934788937660825, "unambiguous": true }, { "best_distance": 0.00014189494586626145, "edge_kind": "map", "eigenfunction_mismatch": 2.7365338328699806e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j4", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00014189494586626145, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j6", "reverse_second_best_gap": 0.20907403012027861, "reverse_second_distance": 0.20921592506614486, "reverse_unambiguous": true, "second_best_gap": 0.20920531349039712, "second_distance": 0.20934720843626337, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00014189494586626145, "max_resolution_difference": 0.00012561553745579816, "omega_imag": -0.47822645744088305, "omega_real": 0.3010674430357183, "outgoing_phase_residual": 1.3321866733282935e-14, "pencil_residual": 8.028354550190636e-15, "reference_difference": 0.3959772063144328, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.1511633474524672e-08, "transformed_residual": 7.881513057516296e-10, "unfactored_residual": 9.444462446268866e-10 }, { "N": 24, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 6.962718003785058e-10, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.541105455993476e-13, "infinity_row_residual": 1.380753293624649e-12, "ingoing_phase_residual": 1.0806778050108399e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 4.1706860187673556e-11, "matching_checks": [ { "best_distance": 1.9271883523633166e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 3.689182292987425e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.0:j6", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9271883523633166e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j7", "reverse_second_best_gap": 0.18690683071873265, "reverse_second_distance": 0.18690875790708503, "reverse_unambiguous": true, "second_best_gap": 0.186905702260767, "second_distance": 0.18690762944911937, "unambiguous": true }, { "best_distance": 3.316761659173769e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0673684158746255e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j7", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.316761659173769e-07, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j7", "reverse_second_best_gap": 0.1869069821202735, "reverse_second_distance": 0.18690731379643943, "reverse_unambiguous": true, "second_best_gap": 0.18690730079025725, "second_distance": 0.18690763246642317, "unambiguous": true }, { "best_distance": 3.2057320590628163e-07, "edge_kind": "map", "eigenfunction_mismatch": 9.97091298415853e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j7", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.2057320590628163e-07, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j7", "reverse_second_best_gap": 0.186906993658536, "reverse_second_distance": 0.1869073142317419, "reverse_unambiguous": true, "second_best_gap": 0.186907311883644, "second_distance": 0.1869076324568499, "unambiguous": true }, { "best_distance": 2.04854217018797e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.1706860187673556e-11, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j5", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.04854217018797e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j7", "reverse_second_best_gap": 0.18690610039367445, "reverse_second_distance": 0.18690814893584462, "reverse_unambiguous": true, "second_best_gap": 0.18690558002932187, "second_distance": 0.18690762857149204, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.04854217018797e-06, "max_resolution_difference": 1.9271883523633166e-06, "omega_imag": -0.27391523869140105, "omega_real": 0.3467109845900493, "outgoing_phase_residual": 1.700146255559969e-14, "pencil_residual": 6.207128107437923e-15, "reference_difference": 0.18690763243476977, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.689182292987425e-11, "transformed_residual": 1.4601031180876103e-09, "unfactored_residual": 2.1062998944911637e-09 }, { "N": 24, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.0:j8", "case": "schwarzschild", "coefficient_tail": 2.7534807863536516e-10, "failure_reasons": [], "horizon_row_residual": 6.534158767831003e-13, "infinity_row_residual": 5.770762123260467e-12, "ingoing_phase_residual": 9.235201445255925e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 7.771561172376096e-16, "matching_checks": [ { "best_distance": 4.8223416922454165e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 8.881784197001252e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.0:j7", "peer_configuration": [ "schwarzschild", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.8223416922454165e-09, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j8", "reverse_second_best_gap": 0.18690762462677768, "reverse_second_distance": 0.18690762944911937, "reverse_unambiguous": true, "second_best_gap": 0.18690875308474333, "second_distance": 0.18690875790708503, "unambiguous": true }, { "best_distance": 3.9633145418426285e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j8", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.9633145418426285e-10, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j8", "reverse_second_best_gap": 0.1869076320700917, "reverse_second_distance": 0.18690763246642317, "reverse_unambiguous": true, "second_best_gap": 0.18690731340010797, "second_distance": 0.18690731379643943, "unambiguous": true }, { "best_distance": 3.804359451465418e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j8", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.804359451465418e-10, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j8", "reverse_second_best_gap": 0.18690763207641398, "reverse_second_distance": 0.1869076324568499, "reverse_unambiguous": true, "second_best_gap": 0.18690731385130596, "second_distance": 0.1869073142317419, "unambiguous": true }, { "best_distance": 4.573874618291036e-09, "edge_kind": "map", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j6", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.573874618291036e-09, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.0:j8", "reverse_second_best_gap": 0.18690762399761743, "reverse_second_distance": 0.18690762857149204, "reverse_unambiguous": true, "second_best_gap": 0.18690814436197, "second_distance": 0.18690814893584462, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.573874618291036e-09, "max_resolution_difference": 4.8223416922454165e-09, "omega_imag": -0.08896231541010248, "omega_real": 0.3736716841350997, "outgoing_phase_residual": 1.956723297457084e-14, "pencil_residual": 1.4064224483555589e-14, "reference_difference": 3.9724577376949935e-10, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 8.881784197001252e-16, "transformed_residual": 8.748853877238835e-10, "unfactored_residual": 1.0844660767151194e-09 }, { "N": 24, "accepted": false, "branch_id": "branch-0220", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.0068884505569115516, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.817570615658215e-09, "infinity_row_residual": 9.304370017149433e-14, "ingoing_phase_residual": 1.6555376114446577e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.013516663334402823, "matching_checks": [ { "best_distance": 0.0174741139683822, "edge_kind": "resolution", "eigenfunction_mismatch": 0.015996820661268174, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j1", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0174741139683822, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j0", "reverse_second_best_gap": 0.11680349046359881, "reverse_second_distance": 0.134277604431981, "reverse_unambiguous": true, "second_best_gap": 0.0842185188986875, "second_distance": 0.1016926328670697, "unambiguous": true }, { "best_distance": 0.030650856939023804, "edge_kind": "resolution", "eigenfunction_mismatch": 0.27159778424792524, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j0", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.030650856939023804, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j0", "reverse_second_best_gap": 0.1517517184003632, "reverse_second_distance": 0.182402575339387, "reverse_unambiguous": true, "second_best_gap": 0.06513063627915339, "second_distance": 0.0957814932181772, "unambiguous": true }, { "best_distance": 0.007033126490919313, "edge_kind": "map", "eigenfunction_mismatch": 0.003282746291493388, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j0", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007033126490919313, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j0", "reverse_second_best_gap": 0.13768546541852456, "reverse_second_distance": 0.14471859190944386, "reverse_unambiguous": true, "second_best_gap": 0.108038317054033, "second_distance": 0.1150714435449523, "unambiguous": true }, { "best_distance": 0.011083383735731499, "edge_kind": "map", "eigenfunction_mismatch": 0.013516663334402823, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j1", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011083383735731499, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j0", "reverse_second_best_gap": 0.1517517184003632, "reverse_second_distance": 0.1628351021360947, "reverse_unambiguous": true, "second_best_gap": 0.01611197096162982, "second_distance": 0.02719535469736132, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.011083383735731499, "max_resolution_difference": 0.030650856939023804, "omega_imag": -0.03760425329041898, "omega_real": 9.671905056764329e-14, "outgoing_phase_residual": 1.9945850526781328e-13, "pencil_residual": 8.235818951588318e-15, "reference_difference": 0.3771845414503016, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.27159778424792524, "transformed_residual": 0.14422181870451758, "unfactored_residual": 0.9994841593385736 }, { "N": 24, "accepted": false, "branch_id": "branch-0221", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 1.7647221744332933e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.2155685248752014e-12, "infinity_row_residual": 4.503728781682358e-13, "ingoing_phase_residual": 6.184570743861251e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.003857963973770251, "matching_checks": [ { "best_distance": 0.050059085533293496, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008049942333328564, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j0", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.050059085533293496, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j1", "reverse_second_best_gap": 0.0516335473337762, "reverse_second_distance": 0.1016926328670697, "reverse_unambiguous": true, "second_best_gap": 0.0842185188986875, "second_distance": 0.134277604431981, "unambiguous": true }, { "best_distance": 0.055970225182186, "edge_kind": "resolution", "eigenfunction_mismatch": 0.010595109004534087, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j1", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.055970225182186, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j1", "reverse_second_best_gap": 0.03981126803599119, "reverse_second_distance": 0.0957814932181772, "reverse_unambiguous": true, "second_best_gap": 0.126432350157201, "second_distance": 0.182402575339387, "unambiguous": true }, { "best_distance": 0.036680274855410894, "edge_kind": "map", "eigenfunction_mismatch": 0.003857963973770251, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j1", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.036680274855410894, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j1", "reverse_second_best_gap": 0.07839116868954141, "reverse_second_distance": 0.1150714435449523, "reverse_unambiguous": true, "second_best_gap": 0.10803831705403297, "second_distance": 0.14471859190944386, "unambiguous": true }, { "best_distance": 0.040805829820319967, "edge_kind": "map", "eigenfunction_mismatch": 0.0026239039626353433, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j2", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.040805829820319967, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j1", "reverse_second_best_gap": 0.1517517184003632, "reverse_second_distance": 0.19255754822068316, "reverse_unambiguous": true, "second_best_gap": 0.0837505338826819, "second_distance": 0.12455636370300187, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.040805829820319967, "max_resolution_difference": 0.055970225182186, "omega_imag": -0.18935597169078217, "omega_real": 5.052311584527177e-13, "outgoing_phase_residual": 3.957945082788683e-14, "pencil_residual": 5.801048873990266e-15, "reference_difference": 0.3869230077171118, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.010595109004534087, "transformed_residual": 0.00010240083261061963, "unfactored_residual": 0.0006869795135824398 }, { "N": 24, "accepted": false, "branch_id": "branch-0222", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 4.208019964561445e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.32687143590161e-13, "infinity_row_residual": 7.022682902882911e-13, "ingoing_phase_residual": 5.028395824639886e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.587906233191383e-05, "matching_checks": [ { "best_distance": 0.016617538965686938, "edge_kind": "resolution", "eigenfunction_mismatch": 1.3415576238351434e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j2", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.016617538965686938, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j2", "reverse_second_best_gap": 0.2514045837707738, "reverse_second_distance": 0.26802212273646076, "reverse_unambiguous": true, "second_best_gap": 0.23294291631353634, "second_distance": 0.24956045527922327, "unambiguous": true }, { "best_distance": 0.0053217380263302855, "edge_kind": "resolution", "eigenfunction_mismatch": 1.951537160871375e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j3", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0053217380263302855, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j2", "reverse_second_best_gap": 0.24308547518891013, "reverse_second_distance": 0.24840721321524042, "reverse_unambiguous": true, "second_best_gap": 0.24910594961647237, "second_distance": 0.25442768764280266, "unambiguous": true }, { "best_distance": 0.01607448249983695, "edge_kind": "map", "eigenfunction_mismatch": 1.587906233191383e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j4", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01607448249983695, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j2", "reverse_second_best_gap": 0.22661309033879776, "reverse_second_distance": 0.2426875728386347, "reverse_unambiguous": true, "second_best_gap": 0.23877370076947668, "second_distance": 0.25484818326931363, "unambiguous": true }, { "best_distance": 0.011270475319114721, "edge_kind": "map", "eigenfunction_mismatch": 8.745551660860329e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j4", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011270475319114721, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j2", "reverse_second_best_gap": 0.23059539824960507, "reverse_second_distance": 0.24186587356871977, "reverse_unambiguous": true, "second_best_gap": 0.24250201140468788, "second_distance": 0.2537724867238026, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01607448249983695, "max_resolution_difference": 0.016617538965686938, "omega_imag": -0.9574680855799899, "omega_real": 0.21511144179623054, "outgoing_phase_residual": 7.725080275102835e-15, "pencil_residual": 4.923261930566565e-15, "reference_difference": 0.8828610439216017, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.3415576238351434e-05, "transformed_residual": 1.6995036090980962e-10, "unfactored_residual": 1.449734234916645e-10 }, { "N": 24, "accepted": false, "branch_id": "branch-0223", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 1.8060226507457525e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.457448354722703e-13, "infinity_row_residual": 8.177359073934131e-13, "ingoing_phase_residual": 7.182830054691852e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.6669640347254386e-06, "matching_checks": [ { "best_distance": 0.0041210755327783484, "edge_kind": "resolution", "eigenfunction_mismatch": 3.926332112436093e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j3", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0041210755327783484, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j3", "reverse_second_best_gap": 0.23409720856228472, "reverse_second_distance": 0.23821828409506307, "reverse_unambiguous": true, "second_best_gap": 0.23080124060942392, "second_distance": 0.23492231614220227, "unambiguous": true }, { "best_distance": 0.0019705235021820157, "edge_kind": "resolution", "eigenfunction_mismatch": 7.740245973053561e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j4", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0019705235021820157, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j3", "reverse_second_best_gap": 0.23104859806169986, "reverse_second_distance": 0.23301912156388188, "reverse_unambiguous": true, "second_best_gap": 0.23266810197600413, "second_distance": 0.23463862547818615, "unambiguous": true }, { "best_distance": 0.00358711103235342, "edge_kind": "map", "eigenfunction_mismatch": 2.6669640347254386e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j5", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00358711103235342, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j3", "reverse_second_best_gap": 0.22887081523705008, "reverse_second_distance": 0.2324579262694035, "reverse_unambiguous": true, "second_best_gap": 0.23100908963297048, "second_distance": 0.2345962006653239, "unambiguous": true }, { "best_distance": 0.0022985415200549694, "edge_kind": "map", "eigenfunction_mismatch": 1.0624436577177931e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j5", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0022985415200549694, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j3", "reverse_second_best_gap": 0.23129316984144624, "reverse_second_distance": 0.2335917113615012, "reverse_unambiguous": true, "second_best_gap": 0.23234181854909264, "second_distance": 0.2346403600691476, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00358711103235342, "max_resolution_difference": 0.0041210755327783484, "omega_imag": -0.7069504676517007, "omega_real": 0.2487088169416254, "outgoing_phase_residual": 9.884258910959168e-15, "pencil_residual": 4.818758088080077e-15, "reference_difference": 0.6304958954777438, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.926332112436093e-06, "transformed_residual": 1.6380452809753862e-09, "unfactored_residual": 1.6403080936913444e-09 }, { "N": 24, "accepted": false, "branch_id": "branch-0224", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 4.236030996546971e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.573023830160918e-13, "infinity_row_residual": 8.950707097602325e-13, "ingoing_phase_residual": 9.926310080088214e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 4.4236247775941706e-08, "matching_checks": [ { "best_distance": 0.0004692937215526964, "edge_kind": "resolution", "eigenfunction_mismatch": 2.8641205174206874e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j4", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004692937215526964, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j4", "reverse_second_best_gap": 0.20859447213936252, "reverse_second_distance": 0.2090637658609152, "reverse_unambiguous": true, "second_best_gap": 0.2087565176056013, "second_distance": 0.20922581132715398, "unambiguous": true }, { "best_distance": 0.00016308715227913875, "edge_kind": "resolution", "eigenfunction_mismatch": 3.630991718406307e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j5", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00016308715227913875, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j4", "reverse_second_best_gap": 0.20918607594140146, "reverse_second_distance": 0.2093491630936806, "reverse_unambiguous": true, "second_best_gap": 0.20905274391716516, "second_distance": 0.2092158310694443, "unambiguous": true }, { "best_distance": 0.00018078739362418125, "edge_kind": "map", "eigenfunction_mismatch": 4.4236247775941706e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j6", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00018078739362418125, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j4", "reverse_second_best_gap": 0.20921052610609903, "reverse_second_distance": 0.2093913134997232, "reverse_unambiguous": true, "second_best_gap": 0.2090354524298982, "second_distance": 0.2092162398235224, "unambiguous": true }, { "best_distance": 0.00014189494586626145, "edge_kind": "map", "eigenfunction_mismatch": 2.7365338328699806e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j6", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00014189494586626145, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j4", "reverse_second_best_gap": 0.20920531349039712, "reverse_second_distance": 0.20934720843626337, "reverse_unambiguous": true, "second_best_gap": 0.20907403012027861, "second_distance": 0.20921592506614486, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00018078739362418125, "max_resolution_difference": 0.0004692937215526964, "omega_imag": -0.4780864299068044, "omega_real": 0.30104449820269996, "outgoing_phase_residual": 1.3274943715714489e-14, "pencil_residual": 4.538626474629866e-15, "reference_difference": 0.3958437626683018, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.8641205174206874e-07, "transformed_residual": 8.846728406798079e-09, "unfactored_residual": 1.0903711546456813e-08 }, { "N": 24, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 5.501102527382464e-09, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.288726756006483e-13, "infinity_row_residual": 1.2803385480264286e-12, "ingoing_phase_residual": 1.0806717956789917e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 4.735778436071314e-11, "matching_checks": [ { "best_distance": 1.1113047842943669e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1686334122629205e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N20:c1.4:j5", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1113047842943669e-05, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j5", "reverse_second_best_gap": 0.18688713179620178, "reverse_second_distance": 0.18689824484404471, "reverse_unambiguous": true, "second_best_gap": 0.1868970221853252, "second_distance": 0.18690813523316813, "unambiguous": true }, { "best_distance": 2.251595944550446e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 5.035272199194196e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j6", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.251595944550446e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j5", "reverse_second_best_gap": 0.18690545419423388, "reverse_second_distance": 0.18690770579017843, "reverse_unambiguous": true, "second_best_gap": 0.18690589756810727, "second_distance": 0.18690814916405182, "unambiguous": true }, { "best_distance": 2.185070305725241e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.735778436071314e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j7", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.185070305725241e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j5", "reverse_second_best_gap": 0.18690512506305423, "reverse_second_distance": 0.18690731013335996, "reverse_unambiguous": true, "second_best_gap": 0.18690596365251183, "second_distance": 0.18690814872281755, "unambiguous": true }, { "best_distance": 2.04854217018797e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.1706860187673556e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j7", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.04854217018797e-06, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j5", "reverse_second_best_gap": 0.18690558002932187, "reverse_second_distance": 0.18690762857149204, "reverse_unambiguous": true, "second_best_gap": 0.18690610039367445, "second_distance": 0.18690814893584462, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.185070305725241e-06, "max_resolution_difference": 1.1113047842943669e-05, "omega_imag": -0.27391603550474986, "omega_real": 0.3467128718138066, "outgoing_phase_residual": 1.6948728110190333e-14, "pencil_residual": 5.0621970249680754e-15, "reference_difference": 0.18690814870073738, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1686334122629205e-09, "transformed_residual": 1.9097162785398232e-08, "unfactored_residual": 2.832897600194947e-08 }, { "N": 24, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N24:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 2.7942727302497743e-09, "failure_reasons": [], "horizon_row_residual": 1.430384138616719e-12, "infinity_row_residual": 1.5750514152374668e-12, "ingoing_phase_residual": 9.2352015366425e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 8.881784197001252e-16, "matching_checks": [ { "best_distance": 4.424533906914129e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 6.94999613415348e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N20:c1.4:j6", "peer_configuration": [ "schwarzschild", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.424533906914129e-08, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j6", "reverse_second_best_gap": 0.18690809098782907, "reverse_second_distance": 0.18690813523316813, "reverse_unambiguous": true, "second_best_gap": 0.18689820059870565, "second_distance": 0.18689824484404471, "unambiguous": true }, { "best_distance": 4.798493033620461e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j7", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.798493033620461e-09, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j6", "reverse_second_best_gap": 0.18690814436555878, "reverse_second_distance": 0.18690814916405182, "reverse_unambiguous": true, "second_best_gap": 0.18690770099168538, "second_distance": 0.18690770579017843, "unambiguous": true }, { "best_distance": 4.53862264917992e-09, "edge_kind": "map", "eigenfunction_mismatch": 8.881784197001252e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j8", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.53862264917992e-09, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j6", "reverse_second_best_gap": 0.1869081441841949, "reverse_second_distance": 0.18690814872281755, "reverse_unambiguous": true, "second_best_gap": 0.1869073055947373, "second_distance": 0.18690731013335996, "unambiguous": true }, { "best_distance": 4.573874618291036e-09, "edge_kind": "map", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j8", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.573874618291036e-09, "reverse_nearest_candidate_id": "schwarzschild:N24:c1.4:j6", "reverse_second_best_gap": 0.18690814436197, "reverse_second_distance": 0.18690814893584462, "reverse_unambiguous": true, "second_best_gap": 0.18690762399761743, "second_distance": 0.18690762857149204, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.573874618291036e-09, "max_resolution_difference": 4.424533906914129e-08, "omega_imag": -0.08896231917270707, "omega_real": 0.37367168153449676, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 3.486666597677679e-15, "reference_difference": 4.522332928468618e-09, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 6.94999613415348e-14, "transformed_residual": 1.426077476473748e-08, "unfactored_residual": 1.817759254580821e-08 }, { "N": 28, "accepted": false, "branch_id": "branch-0225", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.21547714846817378, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 9.431917226696951e-11, "infinity_row_residual": 4.420273508076193e-14, "ingoing_phase_residual": 1.5290769371251872e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.2839121915585745, "matching_checks": [ { "best_distance": 0.0411884867683634, "edge_kind": "resolution", "eigenfunction_mismatch": 0.47382425585244436, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j0", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.01890860161056293, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j1", "reverse_second_best_gap": 0.022279885157800466, "reverse_second_distance": 0.0411884867683634, "reverse_unambiguous": true, "second_best_gap": 0.10803831705403297, "second_distance": 0.14922680382239636, "unambiguous": true }, { "best_distance": 0.0008098773597573451, "edge_kind": "resolution", "eigenfunction_mismatch": 0.05899281439468107, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j0", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0008098773597573451, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j0", "reverse_second_best_gap": 0.06009708837892633, "reverse_second_distance": 0.06090696573868367, "reverse_unambiguous": true, "second_best_gap": 0.04404795250704026, "second_distance": 0.0448578298667976, "unambiguous": true }, { "best_distance": 0.01592657350240665, "edge_kind": "map", "eigenfunction_mismatch": 0.2839121915585745, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j0", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01592657350240665, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j0", "reverse_second_best_gap": 0.02824394137411302, "reverse_second_distance": 0.04417051487651967, "reverse_unambiguous": true, "second_best_gap": 0.07311478358617568, "second_distance": 0.08904135708858234, "unambiguous": true }, { "best_distance": 0.0035045033384202787, "edge_kind": "map", "eigenfunction_mismatch": 0.10101490211186848, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j0", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0035045033384202787, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j0", "reverse_second_best_gap": 0.05308808170208577, "reverse_second_distance": 0.056592585040506044, "reverse_unambiguous": true, "second_best_gap": 0.12643235015720097, "second_distance": 0.12993685349562126, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01592657350240665, "max_resolution_difference": 0.0411884867683634, "omega_imag": -0.003448893012974895, "omega_real": 3.7040079705469666e-14, "outgoing_phase_residual": 2.1746272317602067e-12, "pencil_residual": 7.143704196313837e-14, "reference_difference": 0.38333154474103287, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.47382425585244436, "transformed_residual": 0.9994230444333001, "unfactored_residual": 1.0000000000000004 }, { "N": 28, "accepted": false, "branch_id": "branch-0226", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 5.0735797690210524e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.687498962760455e-10, "infinity_row_residual": 2.4492640018629617e-13, "ingoing_phase_residual": 2.01152188683551e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.3928604874976167, "matching_checks": [ { "best_distance": 0.01890860161056293, "edge_kind": "resolution", "eigenfunction_mismatch": 0.013612526284514481, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j0", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01890860161056293, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j1", "reverse_second_best_gap": 0.022279885157800466, "reverse_second_distance": 0.0411884867683634, "reverse_unambiguous": true, "second_best_gap": 0.07022111383290712, "second_distance": 0.08912971544347005, "unambiguous": true }, { "best_distance": 0.015239258512128727, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008228249439547697, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j1", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.015239258512128727, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j1", "reverse_second_best_gap": 0.029618571354668874, "reverse_second_distance": 0.0448578298667976, "reverse_unambiguous": true, "second_best_gap": 0.04566770722655494, "second_distance": 0.06090696573868367, "unambiguous": true }, { "best_distance": 0.02894426870965601, "edge_kind": "map", "eigenfunction_mismatch": 0.014994229374040713, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j1", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.02894426870965601, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j1", "reverse_second_best_gap": 0.0541709684824674, "reverse_second_distance": 0.08311523719212341, "reverse_unambiguous": true, "second_best_gap": 0.01522624616686366, "second_distance": 0.04417051487651967, "unambiguous": true }, { "best_distance": 0.056592585040506044, "edge_kind": "map", "eigenfunction_mismatch": 0.3928604874976167, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j0", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0035045033384202787, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j0", "reverse_second_best_gap": 0.05308808170208577, "reverse_second_distance": 0.056592585040506044, "reverse_unambiguous": true, "second_best_gap": 0.0132471800761889, "second_distance": 0.06983976511669494, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.056592585040506044, "max_resolution_difference": 0.01890860161056293, "omega_imag": -0.06354598139190122, "omega_real": 2.875225050242288e-12, "outgoing_phase_residual": 1.1800282972984633e-13, "pencil_residual": 1.1804382666597989e-14, "reference_difference": 0.3745350688290303, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.013612526284514481, "transformed_residual": 0.0005862257797637663, "unfactored_residual": 0.016782815428788872 }, { "N": 28, "accepted": false, "branch_id": "branch-0227", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 3.570872208325354e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.1897474452246706e-11, "infinity_row_residual": 7.787372476549183e-13, "ingoing_phase_residual": 5.041575982800417e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.03827903209864936, "matching_checks": [ { "best_distance": 0.022929790458309368, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0016776142173622333, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j1", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.022929790458309368, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j2", "reverse_second_best_gap": 0.06619992498516068, "reverse_second_distance": 0.08912971544347005, "reverse_unambiguous": true, "second_best_gap": 0.10803831705403297, "second_distance": 0.13096810751234234, "unambiguous": true }, { "best_distance": 0.04392704575471798, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00737350980678475, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j2", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04392704575471798, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j2", "reverse_second_best_gap": 0.024205414392343458, "reverse_second_distance": 0.06813246014706144, "reverse_unambiguous": true, "second_best_gap": 0.06826223263696993, "second_distance": 0.11218927839168791, "unambiguous": true }, { "best_distance": 0.08311523719212341, "edge_kind": "map", "eigenfunction_mismatch": 0.03827903209864936, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j1", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.02894426870965601, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j1", "reverse_second_best_gap": 0.0541709684824674, "reverse_second_distance": 0.08311523719212341, "reverse_unambiguous": true, "second_best_gap": 0.006496237033671776, "second_distance": 0.08961147422579518, "unambiguous": true }, { "best_distance": 0.042219740785084475, "edge_kind": "map", "eigenfunction_mismatch": 0.006709602209650445, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j1", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.042219740785084475, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j2", "reverse_second_best_gap": 0.027620024331610468, "reverse_second_distance": 0.06983976511669494, "reverse_unambiguous": true, "second_best_gap": 0.126432350157201, "second_distance": 0.16865209094228548, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.08311523719212341, "max_resolution_difference": 0.04392704575471798, "omega_imag": -0.17560548729368064, "omega_real": 2.450000878929381e-11, "outgoing_phase_residual": 4.268807529683727e-14, "pencil_residual": 9.22208254252673e-15, "reference_difference": 0.3835851494821404, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00737350980678475, "transformed_residual": 2.4412137376243922e-06, "unfactored_residual": 1.6808776344013323e-05 }, { "N": 28, "accepted": false, "branch_id": "branch-0228", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 2.5134484891077343e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.7720207200405435e-12, "infinity_row_residual": 1.2368028094948976e-12, "ingoing_phase_residual": 2.5382711654753365e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 3.729115468087407e-05, "matching_checks": [ { "best_distance": 0.007100910757272435, "edge_kind": "resolution", "eigenfunction_mismatch": 4.2968448746849575e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j2", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007100910757272435, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j3", "reverse_second_best_gap": 0.20781478613017768, "reverse_second_distance": 0.2149156968874501, "reverse_unambiguous": true, "second_best_gap": 0.20579450839964192, "second_distance": 0.21289541915691435, "unambiguous": true }, { "best_distance": 0.011432482720337646, "edge_kind": "resolution", "eigenfunction_mismatch": 9.389639746171241e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j3", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.011432482720337646, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j3", "reverse_second_best_gap": 0.22201660764472253, "reverse_second_distance": 0.23344909036506017, "reverse_unambiguous": true, "second_best_gap": 0.09839484653269698, "second_distance": 0.10982732925303462, "unambiguous": true }, { "best_distance": 0.024166634819107913, "edge_kind": "map", "eigenfunction_mismatch": 3.729115468087407e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j3", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.024166634819107913, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j3", "reverse_second_best_gap": 0.22201660764472253, "reverse_second_distance": 0.24618324246383044, "reverse_unambiguous": true, "second_best_gap": 0.10823849859981943, "second_distance": 0.13240513341892735, "unambiguous": true }, { "best_distance": 0.01652920295142896, "edge_kind": "map", "eigenfunction_mismatch": 1.8724234025824238e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j2", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.01652920295142896, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j3", "reverse_second_best_gap": 0.22201660764472253, "reverse_second_distance": 0.2385458105961515, "reverse_unambiguous": true, "second_best_gap": 0.24770714547837808, "second_distance": 0.26423634842980703, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.024166634819107913, "max_resolution_difference": 0.011432482720337646, "omega_imag": -0.39762209493840317, "omega_real": 3.363225189921052e-10, "outgoing_phase_residual": 1.8818280267396403e-14, "pencil_residual": 6.314269157782865e-15, "reference_difference": 0.4846662633305502, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.389639746171241e-06, "transformed_residual": 6.3033085946324905e-09, "unfactored_residual": 1.1651416601404174e-08 }, { "N": 28, "accepted": false, "branch_id": "branch-0229", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 3.2191434672061785e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.108620800621282e-14, "infinity_row_residual": 7.795275341945033e-13, "ingoing_phase_residual": 5.103055446699665e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.8235415816535436e-06, "matching_checks": [ { "best_distance": 0.004352729620963633, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1352645808981876e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j4", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004352729620963633, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j4", "reverse_second_best_gap": 0.2407742796959785, "reverse_second_distance": 0.24512700931694215, "reverse_unambiguous": true, "second_best_gap": 0.24298309810354649, "second_distance": 0.24733582772451013, "unambiguous": true }, { "best_distance": 0.002035895328262619, "edge_kind": "resolution", "eigenfunction_mismatch": 2.5389501479011756e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j6", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002035895328262619, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j4", "reverse_second_best_gap": 0.24351947366510035, "reverse_second_distance": 0.24555536899336297, "reverse_unambiguous": true, "second_best_gap": 0.24509057263649123, "second_distance": 0.24712646796475385, "unambiguous": true }, { "best_distance": 0.005523245942492418, "edge_kind": "map", "eigenfunction_mismatch": 1.8872865659158578e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j4", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005523245942492418, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j4", "reverse_second_best_gap": 0.23667185745669714, "reverse_second_distance": 0.24219510339918957, "reverse_unambiguous": true, "second_best_gap": 0.24131855590332502, "second_distance": 0.24684180184581744, "unambiguous": true }, { "best_distance": 0.006683385249761166, "edge_kind": "map", "eigenfunction_mismatch": 2.8235415816535436e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j3", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.006683385249761166, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j4", "reverse_second_best_gap": 0.24406548011125515, "reverse_second_distance": 0.2507488653610163, "reverse_unambiguous": true, "second_best_gap": 0.24016518713802612, "second_distance": 0.2468485723877873, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.006683385249761166, "max_resolution_difference": 0.004352729620963633, "omega_imag": -0.9485958026558678, "omega_real": 0.20743503557725157, "outgoing_phase_residual": 7.610698276993709e-15, "pencil_residual": 3.687979105556539e-15, "reference_difference": 0.8755594527687671, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1352645808981876e-06, "transformed_residual": 1.023424166006146e-13, "unfactored_residual": 7.87426811665438e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0230", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 1.4572462068840246e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.914265606179151e-14, "infinity_row_residual": 1.0355622054546888e-12, "ingoing_phase_residual": 7.187095101910532e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.327810939676937e-07, "matching_checks": [ { "best_distance": 0.000367190990060938, "edge_kind": "resolution", "eigenfunction_mismatch": 2.9679463553478058e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j5", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.000367190990060938, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j5", "reverse_second_best_gap": 0.23190767657188174, "reverse_second_distance": 0.23227486756194268, "reverse_unambiguous": true, "second_best_gap": 0.23171365781415118, "second_distance": 0.23208084880421212, "unambiguous": true }, { "best_distance": 0.00012968358875052735, "edge_kind": "resolution", "eigenfunction_mismatch": 3.6867975339305303e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j7", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00012968358875052735, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j5", "reverse_second_best_gap": 0.2320096086409614, "reverse_second_distance": 0.23213929222971194, "reverse_unambiguous": true, "second_best_gap": 0.2319431700357835, "second_distance": 0.23207285362453403, "unambiguous": true }, { "best_distance": 0.0007148079637037217, "edge_kind": "map", "eigenfunction_mismatch": 1.1174641478817193e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j5", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0007148079637037217, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j5", "reverse_second_best_gap": 0.23206804066504505, "reverse_second_distance": 0.23278284862874876, "reverse_unambiguous": true, "second_best_gap": 0.23137284877977154, "second_distance": 0.23208765674347526, "unambiguous": true }, { "best_distance": 0.0017059843757790832, "edge_kind": "map", "eigenfunction_mismatch": 6.327810939676937e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j4", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0017059843757790832, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j5", "reverse_second_best_gap": 0.2311304481279443, "reverse_second_distance": 0.2328364325037234, "reverse_unambiguous": true, "second_best_gap": 0.23041675615195292, "second_distance": 0.23212274052773202, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0017059843757790832, "max_resolution_difference": 0.000367190990060938, "omega_imag": -0.7050256100501797, "omega_real": 0.25162947572039607, "outgoing_phase_residual": 1.0007415106216803e-14, "pencil_residual": 4.24664981369621e-15, "reference_difference": 0.6280352564649764, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.9679463553478058e-08, "transformed_residual": 8.710467206927326e-13, "unfactored_residual": 7.821978658579917e-13 }, { "N": 28, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 3.301798558866285e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.78274042040957e-14, "infinity_row_residual": 1.113593995899144e-12, "ingoing_phase_residual": 9.923164820905161e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.163839882944444e-09, "matching_checks": [ { "best_distance": 8.611238719183951e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 1.003432892332512e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c0.7:j6", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.611238719183951e-06, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j6", "reverse_second_best_gap": 0.2093834192262321, "reverse_second_distance": 0.20939203046495128, "reverse_unambiguous": true, "second_best_gap": 0.2093903712772051, "second_distance": 0.2093989825159243, "unambiguous": true }, { "best_distance": 2.2702379043134913e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 6.96720459103517e-12, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j8", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.2702379043134913e-06, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j6", "reverse_second_best_gap": 0.20939771843829902, "reverse_second_distance": 0.20939998867620332, "reverse_unambiguous": true, "second_best_gap": 0.20939675401412464, "second_distance": 0.20939902425202894, "unambiguous": true }, { "best_distance": 1.6762567921510065e-05, "edge_kind": "map", "eigenfunction_mismatch": 3.800879611048913e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j6", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.6762567921510065e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j6", "reverse_second_best_gap": 0.20936838476097006, "reverse_second_distance": 0.20938514732889157, "reverse_unambiguous": true, "second_best_gap": 0.20938221630783163, "second_distance": 0.20939897887575315, "unambiguous": true }, { "best_distance": 6.741963170191411e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.163839882944444e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j5", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.741963170191411e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j6", "reverse_second_best_gap": 0.20928246093668176, "reverse_second_distance": 0.2093498805683837, "reverse_unambiguous": true, "second_best_gap": 0.20933115416609152, "second_distance": 0.20939857379779345, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.741963170191411e-05, "max_resolution_difference": 8.611238719183951e-06, "omega_imag": -0.4782751097499205, "omega_real": 0.30105087996643964, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 4.030354044661058e-15, "reference_difference": 0.39602807079646335, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.003432892332512e-10, "transformed_residual": 4.009454513373374e-12, "unfactored_residual": 4.444449010047781e-12 }, { "N": 28, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 2.8077093279335e-12, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.1916538744623587e-13, "infinity_row_residual": 1.3567415755868518e-12, "ingoing_phase_residual": 1.0806778519639179e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.1483925749521404e-12, "matching_checks": [ { "best_distance": 3.690507992641487e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.354472090042691e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j7", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.690507992641487e-08, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j7", "reverse_second_best_gap": 0.1869072770928359, "reverse_second_distance": 0.18690731399791582, "reverse_unambiguous": true, "second_best_gap": 0.18690724052108698, "second_distance": 0.18690727742616692, "unambiguous": true }, { "best_distance": 5.6160262421039875e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 3.3306690738754696e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j9", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.6160262421039875e-09, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j7", "reverse_second_best_gap": 0.1869072662241723, "reverse_second_distance": 0.18690727184019856, "reverse_unambiguous": true, "second_best_gap": 0.18690727178813132, "second_distance": 0.18690727740415758, "unambiguous": true }, { "best_distance": 6.132559218209262e-08, "edge_kind": "map", "eigenfunction_mismatch": 3.68594044175552e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j7", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.132559218209262e-08, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j7", "reverse_second_best_gap": 0.1869072522370213, "reverse_second_distance": 0.18690731356261348, "reverse_unambiguous": true, "second_best_gap": 0.186907216110148, "second_distance": 0.18690727743574018, "unambiguous": true }, { "best_distance": 4.6986996872196266e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.1483925749521404e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j6", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.6986996872196266e-07, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j7", "reverse_second_best_gap": 0.18690723978476798, "reverse_second_distance": 0.1869077096547367, "reverse_unambiguous": true, "second_best_gap": 0.1869068079974295, "second_distance": 0.18690727786739822, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.6986996872196266e-07, "max_resolution_difference": 3.690507992641487e-08, "omega_imag": -0.27391488135434705, "omega_real": 0.34671099450865794, "outgoing_phase_residual": 1.6948728110190333e-14, "pencil_residual": 4.006420020988707e-15, "reference_difference": 0.1869072774040868, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.354472090042691e-14, "transformed_residual": 5.7228153875100306e-12, "unfactored_residual": 7.6552889877677e-12 }, { "N": 28, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N28:c0.7:j8", "case": "schwarzschild", "coefficient_tail": 7.162587735870716e-13, "failure_reasons": [], "horizon_row_residual": 9.055816113193034e-13, "infinity_row_residual": 3.1007738071494263e-12, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 2.1675875800696658e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c0.7:j8", "peer_configuration": [ "schwarzschild", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.1675875800696658e-11, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j8", "reverse_second_best_gap": 0.18690727740449103, "reverse_second_distance": 0.18690727742616692, "reverse_unambiguous": true, "second_best_gap": 0.18690731397623994, "second_distance": 0.18690731399791582, "unambiguous": true }, { "best_distance": 1.513528839010199e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j10", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.513528839010199e-12, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j8", "reverse_second_best_gap": 0.18690727740264404, "reverse_second_distance": 0.18690727740415758, "reverse_unambiguous": true, "second_best_gap": 0.18690727183868502, "second_distance": 0.18690727184019856, "unambiguous": true }, { "best_distance": 3.574062990309392e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j8", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.574062990309392e-11, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j8", "reverse_second_best_gap": 0.18690727739999954, "reverse_second_distance": 0.18690727743574018, "reverse_unambiguous": true, "second_best_gap": 0.18690731352687284, "second_distance": 0.18690731356261348, "unambiguous": true }, { "best_distance": 5.386179453790344e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j7", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.386179453790344e-10, "reverse_nearest_candidate_id": "schwarzschild:N28:c0.7:j8", "reverse_second_best_gap": 0.18690727732878026, "reverse_second_distance": 0.18690727786739822, "reverse_unambiguous": true, "second_best_gap": 0.18690770911611873, "second_distance": 0.1869077096547367, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.386179453790344e-10, "max_resolution_difference": 2.1675875800696658e-11, "omega_imag": -0.08896231568782852, "omega_real": 0.3736716844193045, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 5.130577186041093e-15, "reference_difference": 1.6793325305865944e-12, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 2.2441946270979572e-12, "unfactored_residual": 2.545664566407657e-12 }, { "N": 28, "accepted": false, "branch_id": "branch-0232", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.007740740191974767, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.7998004053314424e-09, "infinity_row_residual": 6.969649232355285e-14, "ingoing_phase_residual": 1.64454587985724e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.2839121915585745, "matching_checks": [ { "best_distance": 0.007145403039305932, "edge_kind": "resolution", "eigenfunction_mismatch": 0.010970315275986242, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j1", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.007145403039305932, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j0", "reverse_second_best_gap": 0.058823977507563824, "reverse_second_distance": 0.06596938054686975, "reverse_unambiguous": true, "second_best_gap": 0.03827873843309282, "second_distance": 0.045424141472398746, "unambiguous": true }, { "best_distance": 0.004593225691678157, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008188424980793862, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j0", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004593225691678157, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j0", "reverse_second_best_gap": 0.0731147835861757, "reverse_second_distance": 0.07770800927785385, "reverse_unambiguous": true, "second_best_gap": 0.09713490358580745, "second_distance": 0.1017281292774856, "unambiguous": true }, { "best_distance": 0.01592657350240665, "edge_kind": "map", "eigenfunction_mismatch": 0.2839121915585745, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j0", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01592657350240665, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j0", "reverse_second_best_gap": 0.07311478358617568, "reverse_second_distance": 0.08904135708858234, "reverse_unambiguous": true, "second_best_gap": 0.02824394137411302, "second_distance": 0.04417051487651967, "unambiguous": true }, { "best_distance": 0.012422070163986373, "edge_kind": "map", "eigenfunction_mismatch": 0.12967514476673736, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j0", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.012422070163986373, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j0", "reverse_second_best_gap": 0.07311478358617568, "reverse_second_distance": 0.08553685375016205, "reverse_unambiguous": true, "second_best_gap": 0.10158820982922824, "second_distance": 0.11401027999321461, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01592657350240665, "max_resolution_difference": 0.007145403039305932, "omega_imag": -0.019375466515381547, "omega_real": 1.477491095591395e-14, "outgoing_phase_residual": 3.8708619642946474e-13, "pencil_residual": 1.1719574051056511e-14, "reference_difference": 0.3800958527973024, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.010970315275986242, "transformed_residual": 0.7609115453219513, "unfactored_residual": 1.0 }, { "N": 28, "accepted": false, "branch_id": "branch-0233", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 3.875186908343197e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4670818733493367e-10, "infinity_row_residual": 2.424739568397302e-13, "ingoing_phase_residual": 2.3812587642002558e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.014994229374040713, "matching_checks": [ { "best_distance": 0.027690642113776934, "edge_kind": "resolution", "eigenfunction_mismatch": 0.013478369064399032, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j0", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.027690642113776934, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.017733499358621813, "reverse_second_distance": 0.045424141472398746, "reverse_unambiguous": true, "second_best_gap": 0.03827873843309282, "second_distance": 0.06596938054686975, "unambiguous": true }, { "best_distance": 0.028613345691309924, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0074002142868861975, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j1", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.028613345691309924, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.07311478358617568, "reverse_second_distance": 0.1017281292774856, "reverse_unambiguous": true, "second_best_gap": 0.04909466358654392, "second_distance": 0.07770800927785385, "unambiguous": true }, { "best_distance": 0.02894426870965601, "edge_kind": "map", "eigenfunction_mismatch": 0.014994229374040713, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j1", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02894426870965601, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.01522624616686366, "reverse_second_distance": 0.04417051487651967, "reverse_unambiguous": true, "second_best_gap": 0.0541709684824674, "second_distance": 0.08311523719212341, "unambiguous": true }, { "best_distance": 0.040895496407038934, "edge_kind": "map", "eigenfunction_mismatch": 0.013411346803115176, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j1", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.040895496407038934, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.07311478358617568, "reverse_second_distance": 0.11401027999321461, "reverse_unambiguous": true, "second_best_gap": 0.04464135734312312, "second_distance": 0.08553685375016205, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.040895496407038934, "max_resolution_difference": 0.028613345691309924, "omega_imag": -0.09249025010155723, "omega_real": 6.450777864908767e-13, "outgoing_phase_residual": 8.107403637325206e-14, "pencil_residual": 5.825752232399462e-15, "reference_difference": 0.3736883381329344, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.013478369064399032, "transformed_residual": 0.00035422495197961454, "unfactored_residual": 0.006578394871161367 }, { "N": 28, "accepted": false, "branch_id": "branch-0234", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 1.4221791944734264e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.394666130911599e-12, "infinity_row_residual": 2.6404860644962677e-13, "ingoing_phase_residual": 2.4642351283410413e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.034402917708478475, "matching_checks": [ { "best_distance": 0.03505516000837369, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010953438056064968, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j2", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03505516000837369, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j2", "reverse_second_best_gap": 0.10261639140117121, "reverse_second_distance": 0.1376715514095449, "reverse_unambiguous": true, "second_best_gap": 0.16536219352332185, "second_distance": 0.20041735353169554, "unambiguous": true }, { "best_distance": 0.14411336572660866, "edge_kind": "resolution", "eigenfunction_mismatch": 0.045937417543341796, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j1", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.028613345691309924, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.07311478358617568, "reverse_second_distance": 0.1017281292774856, "reverse_unambiguous": true, "second_best_gap": 0.04252067043284369, "second_distance": 0.18663403615945234, "unambiguous": true }, { "best_distance": 0.08961147422579518, "edge_kind": "map", "eigenfunction_mismatch": 0.011069080874473447, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j2", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.08311523719212341, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.006496237033671776, "reverse_second_distance": 0.08961147422579518, "reverse_unambiguous": true, "second_best_gap": 0.04279365919313216, "second_distance": 0.13240513341892735, "unambiguous": true }, { "best_distance": 0.13183121501087966, "edge_kind": "map", "eigenfunction_mismatch": 0.034402917708478475, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j1", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.040895496407038934, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j1", "reverse_second_best_gap": 0.07311478358617568, "reverse_second_distance": 0.11401027999321461, "reverse_unambiguous": true, "second_best_gap": 0.017103121359476642, "second_distance": 0.1489343363703563, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13183121501087966, "max_resolution_difference": 0.14411336572660866, "omega_imag": -0.2652169615194758, "omega_real": 4.5478946079881835e-12, "outgoing_phase_residual": 2.8310687127941492e-14, "pencil_residual": 1.9359779889395985e-15, "reference_difference": 0.41315400023389215, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.045937417543341796, "transformed_residual": 9.74859050030763e-07, "unfactored_residual": 3.276549586604492e-06 }, { "N": 28, "accepted": false, "branch_id": "branch-0235", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 6.204311692542711e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.5957377271589457e-12, "infinity_row_residual": 8.527017073928244e-13, "ingoing_phase_residual": 2.1807932720774303e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.729115468087407e-05, "matching_checks": [ { "best_distance": 0.19162692824640895, "edge_kind": "resolution", "eigenfunction_mismatch": 0.011487331704903347, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j2", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.03505516000837369, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j2", "reverse_second_best_gap": 0.10261639140117121, "reverse_second_distance": 0.1376715514095449, "reverse_unambiguous": true, "second_best_gap": 0.07321304260287989, "second_distance": 0.26483997084928884, "unambiguous": true }, { "best_distance": 0.030062267921417085, "edge_kind": "resolution", "eigenfunction_mismatch": 3.383862613504096e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j2", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.030062267921417085, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j3", "reverse_second_best_gap": 0.15657176823803526, "reverse_second_distance": 0.18663403615945234, "reverse_unambiguous": true, "second_best_gap": 0.27062286604322683, "second_distance": 0.3006851339646439, "unambiguous": true }, { "best_distance": 0.024166634819107913, "edge_kind": "map", "eigenfunction_mismatch": 3.729115468087407e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j3", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.024166634819107913, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j3", "reverse_second_best_gap": 0.10823849859981943, "reverse_second_distance": 0.13240513341892735, "reverse_unambiguous": true, "second_best_gap": 0.22201660764472253, "second_distance": 0.24618324246383044, "unambiguous": true }, { "best_distance": 0.007637431867678958, "edge_kind": "map", "eigenfunction_mismatch": 3.16934819100112e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j2", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007637431867678958, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j3", "reverse_second_best_gap": 0.14129690450267735, "reverse_second_distance": 0.1489343363703563, "reverse_unambiguous": true, "second_best_gap": 0.28076555138123593, "second_distance": 0.2884029832489149, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.024166634819107913, "max_resolution_difference": 0.19162692824640895, "omega_imag": -0.4217887297575111, "omega_real": 2.2058264080685162e-10, "outgoing_phase_residual": 1.7763568394002505e-14, "pencil_residual": 4.258915219978152e-15, "reference_difference": 0.500403786429232, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.011487331704903347, "transformed_residual": 2.7366437882782775e-08, "unfactored_residual": 4.5819369610905814e-08 }, { "N": 28, "accepted": false, "branch_id": "branch-0236", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 3.15899367916086e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.288841957361736e-13, "infinity_row_residual": 1.3553431292747904e-12, "ingoing_phase_residual": 5.133005312510451e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 5.8763352490665e-06, "matching_checks": [ { "best_distance": 0.0048690484557640835, "edge_kind": "resolution", "eigenfunction_mismatch": 1.5310619358999134e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j4", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0048690484557640835, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j4", "reverse_second_best_gap": 0.23863506408562807, "reverse_second_distance": 0.24350411254139215, "reverse_unambiguous": true, "second_best_gap": 0.23601208355407213, "second_distance": 0.2408811320098362, "unambiguous": true }, { "best_distance": 0.002360825233230675, "edge_kind": "resolution", "eigenfunction_mismatch": 3.4562860018461095e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j3", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002360825233230675, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j4", "reverse_second_best_gap": 0.24028713772910074, "reverse_second_distance": 0.2426479629623314, "reverse_unambiguous": true, "second_best_gap": 0.23942484572091285, "second_distance": 0.24178567095414352, "unambiguous": true }, { "best_distance": 0.005523245942492418, "edge_kind": "map", "eigenfunction_mismatch": 1.8872865659158578e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j4", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005523245942492418, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j4", "reverse_second_best_gap": 0.24131855590332502, "reverse_second_distance": 0.24684180184581744, "reverse_unambiguous": true, "second_best_gap": 0.23667185745669714, "second_distance": 0.24219510339918957, "unambiguous": true }, { "best_distance": 0.009632640803679171, "edge_kind": "map", "eigenfunction_mismatch": 5.8763352490665e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j3", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.009632640803679171, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j4", "reverse_second_best_gap": 0.24041381472339649, "reverse_second_distance": 0.25004645552707566, "reverse_unambiguous": true, "second_best_gap": 0.2318726988920487, "second_distance": 0.24150533969572788, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009632640803679171, "max_resolution_difference": 0.0048690484557640835, "omega_imag": -0.943567006354324, "omega_real": 0.20971921015438832, "outgoing_phase_residual": 7.743158934485841e-15, "pencil_residual": 6.951319206622491e-15, "reference_difference": 0.8701893995702649, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.5310619358999134e-06, "transformed_residual": 1.5122637138872818e-12, "unfactored_residual": 1.148468547708775e-12 }, { "N": 28, "accepted": false, "branch_id": "branch-0237", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 1.4343577148122674e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.5138630295349483e-13, "infinity_row_residual": 1.3975490526677888e-12, "ingoing_phase_residual": 7.180469438915788e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 4.4921615915960444e-07, "matching_checks": [ { "best_distance": 0.0007283988595530746, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1551306666746086e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j5", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0007283988595530746, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j5", "reverse_second_best_gap": 0.23269424887132692, "reverse_second_distance": 0.23342264773088, "reverse_unambiguous": true, "second_best_gap": 0.23210551562707335, "second_distance": 0.23283391448662644, "unambiguous": true }, { "best_distance": 0.0002957306896144978, "edge_kind": "resolution", "eigenfunction_mismatch": 1.9074361312654275e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j4", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0002957306896144978, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j5", "reverse_second_best_gap": 0.2322052491278397, "reverse_second_distance": 0.2325009798174542, "reverse_unambiguous": true, "second_best_gap": 0.23248867977234214, "second_distance": 0.23278441046195664, "unambiguous": true }, { "best_distance": 0.0007148079637037217, "edge_kind": "map", "eigenfunction_mismatch": 1.1174641478817193e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j5", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0007148079637037217, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j5", "reverse_second_best_gap": 0.23137284877977154, "reverse_second_distance": 0.23208765674347526, "reverse_unambiguous": true, "second_best_gap": 0.23206804066504505, "second_distance": 0.23278284862874876, "unambiguous": true }, { "best_distance": 0.00143840362384506, "edge_kind": "map", "eigenfunction_mismatch": 4.4921615915960444e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j4", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00143840362384506, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j5", "reverse_second_best_gap": 0.23141191323963298, "reverse_second_distance": 0.23285031686347804, "reverse_unambiguous": true, "second_best_gap": 0.23139336930964122, "second_distance": 0.23283177293348628, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00143840362384506, "max_resolution_difference": 0.0007283988595530746, "omega_imag": -0.7056989723487758, "omega_real": 0.2513896140106471, "outgoing_phase_residual": 1.0026026987065696e-14, "pencil_residual": 6.096587356575102e-15, "reference_difference": 0.6287424022690663, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1551306666746086e-07, "transformed_residual": 1.4008921035189793e-11, "unfactored_residual": 1.239868397422851e-11 }, { "N": 28, "accepted": false, "branch_id": "branch-0238", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 3.612038146122972e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.362131036519226e-15, "infinity_row_residual": 1.381205577963329e-12, "ingoing_phase_residual": 9.923093622954446e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.5221721095268776e-09, "matching_checks": [ { "best_distance": 3.742079515947095e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8885975006099898e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.0:j6", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.742079515947095e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j6", "reverse_second_best_gap": 0.20931046494271618, "reverse_second_distance": 0.20934788573787566, "reverse_unambiguous": true, "second_best_gap": 0.20934737562947722, "second_distance": 0.2093847964246367, "unambiguous": true }, { "best_distance": 1.2407930586614588e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0843793357983031e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j5", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.2407930586614588e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j6", "reverse_second_best_gap": 0.2093849727146434, "reverse_second_distance": 0.20939738064523003, "reverse_unambiguous": true, "second_best_gap": 0.20937275154170523, "second_distance": 0.20938515947229186, "unambiguous": true }, { "best_distance": 1.6762567921510065e-05, "edge_kind": "map", "eigenfunction_mismatch": 3.800879611048913e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j6", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.6762567921510065e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j6", "reverse_second_best_gap": 0.20938221630783163, "reverse_second_distance": 0.20939897887575315, "reverse_unambiguous": true, "second_best_gap": 0.20936838476097006, "second_distance": 0.20938514732889157, "unambiguous": true }, { "best_distance": 5.093404708439387e-05, "edge_kind": "map", "eigenfunction_mismatch": 3.5221721095268776e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j5", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.093404708439387e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j6", "reverse_second_best_gap": 0.20929890676136548, "reverse_second_distance": 0.20934984080844987, "reverse_unambiguous": true, "second_best_gap": 0.20933376844042084, "second_distance": 0.20938470248750524, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 5.093404708439387e-05, "max_resolution_difference": 3.742079515947095e-05, "omega_imag": -0.47826362408206147, "omega_real": 0.30106308910716106, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 5.227926562440517e-15, "reference_difference": 0.39601454118456164, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.8885975006099898e-09, "transformed_residual": 7.645685984502498e-11, "unfactored_residual": 8.32906261832243e-11 }, { "N": 28, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 3.97054775583102e-11, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.5676083756857156e-13, "infinity_row_residual": 2.1462983017706573e-12, "ingoing_phase_residual": 1.0806780134199942e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.7004175845158898e-12, "matching_checks": [ { "best_distance": 3.316761659173769e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0673684158746255e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j7", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.316761659173769e-07, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j7", "reverse_second_best_gap": 0.18690730079025725, "reverse_second_distance": 0.18690763246642317, "reverse_unambiguous": true, "second_best_gap": 0.1869069821202735, "second_distance": 0.18690731379643943, "unambiguous": true }, { "best_distance": 6.30637481838312e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 3.907985046680551e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j6", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.30637481838312e-08, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j7", "reverse_second_best_gap": 0.18690720144764106, "reverse_second_distance": 0.18690726451138925, "reverse_unambiguous": true, "second_best_gap": 0.18690725049501625, "second_distance": 0.18690731355876444, "unambiguous": true }, { "best_distance": 6.132559218209262e-08, "edge_kind": "map", "eigenfunction_mismatch": 3.68594044175552e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j7", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.132559218209262e-08, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j7", "reverse_second_best_gap": 0.186907216110148, "reverse_second_distance": 0.18690727743574018, "reverse_unambiguous": true, "second_best_gap": 0.1869072522370213, "second_distance": 0.18690731356261348, "unambiguous": true }, { "best_distance": 4.183665466652148e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.7004175845158898e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j6", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.183665466652148e-07, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j7", "reverse_second_best_gap": 0.18690729131856573, "reverse_second_distance": 0.1869077096851124, "reverse_unambiguous": true, "second_best_gap": 0.18690689565810048, "second_distance": 0.18690731402464714, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.183665466652148e-07, "max_resolution_difference": 3.316761659173769e-07, "omega_imag": -0.27391490998854884, "omega_real": 0.3467109402784934, "outgoing_phase_residual": 1.700146255559969e-14, "pencil_residual": 6.393754852025325e-15, "reference_difference": 0.18690731356133578, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.0673684158746255e-12, "transformed_residual": 1.4073730061236903e-10, "unfactored_residual": 1.8458478552847764e-10 }, { "N": 28, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.0:j8", "case": "schwarzschild", "coefficient_tail": 1.4783109247605218e-11, "failure_reasons": [], "horizon_row_residual": 1.384298747987798e-12, "infinity_row_residual": 2.0346716266458895e-12, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.9633145418426285e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.0:j8", "peer_configuration": [ "schwarzschild", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.9633145418426285e-10, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j8", "reverse_second_best_gap": 0.18690731340010797, "reverse_second_distance": 0.18690731379643943, "reverse_unambiguous": true, "second_best_gap": 0.1869076320700917, "second_distance": 0.18690763246642317, "unambiguous": true }, { "best_distance": 3.821544229890139e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j7", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.821544229890139e-11, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j8", "reverse_second_best_gap": 0.186907313520549, "reverse_second_distance": 0.18690731355876444, "reverse_unambiguous": true, "second_best_gap": 0.18690726447317382, "second_distance": 0.18690726451138925, "unambiguous": true }, { "best_distance": 3.574062990309392e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j8", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.574062990309392e-11, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j8", "reverse_second_best_gap": 0.18690731352687284, "reverse_second_distance": 0.18690731356261348, "reverse_unambiguous": true, "second_best_gap": 0.18690727739999954, "second_distance": 0.18690727743574018, "unambiguous": true }, { "best_distance": 5.23206473061774e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j7", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.23206473061774e-10, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.0:j8", "reverse_second_best_gap": 0.18690731350144066, "reverse_second_distance": 0.18690731402464714, "reverse_unambiguous": true, "second_best_gap": 0.1869077091619059, "second_distance": 0.1869077096851124, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.23206473061774e-10, "max_resolution_difference": 3.9633145418426285e-10, "omega_imag": -0.08896231566048725, "omega_real": 0.3736716844423229, "outgoing_phase_residual": 1.951965492335436e-14, "pencil_residual": 3.4984512341428877e-15, "reference_difference": 3.740167275113916e-11, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 7.601989378787657e-11, "unfactored_residual": 8.565920526709245e-11 }, { "N": 28, "accepted": false, "branch_id": "branch-0239", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.2112703265881667, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.497697733324758e-11, "infinity_row_residual": 4.379677302220102e-14, "ingoing_phase_residual": 1.569548453385014e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.12967514476673725, "matching_checks": [ { "best_distance": 0.030650856939023804, "edge_kind": "resolution", "eigenfunction_mismatch": 0.27159778424792513, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j0", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.030650856939023804, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j0", "reverse_second_best_gap": 0.06513063627915339, "reverse_second_distance": 0.0957814932181772, "reverse_unambiguous": true, "second_best_gap": 0.1517517184003632, "second_distance": 0.182402575339387, "unambiguous": true }, { "best_distance": 0.09290582148281949, "edge_kind": "resolution", "eigenfunction_mismatch": 0.4912558751131969, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.033526528674381495, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j1", "reverse_second_best_gap": 0.059379292808438, "reverse_second_distance": 0.09290582148281949, "reverse_unambiguous": true, "second_best_gap": 0.19049878526652692, "second_distance": 0.2834046067493464, "unambiguous": true }, { "best_distance": 0.0035045033384202787, "edge_kind": "map", "eigenfunction_mismatch": 0.10101490211186848, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j0", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0035045033384202787, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j0", "reverse_second_best_gap": 0.12643235015720097, "reverse_second_distance": 0.12993685349562126, "reverse_unambiguous": true, "second_best_gap": 0.05308808170208577, "second_distance": 0.056592585040506044, "unambiguous": true }, { "best_distance": 0.012422070163986373, "edge_kind": "map", "eigenfunction_mismatch": 0.12967514476673725, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j0", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.012422070163986373, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j0", "reverse_second_best_gap": 0.10158820982922824, "reverse_second_distance": 0.11401027999321461, "reverse_unambiguous": true, "second_best_gap": 0.07311478358617568, "second_distance": 0.08553685375016205, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.012422070163986373, "max_resolution_difference": 0.09290582148281949, "omega_imag": -0.006953396351395174, "omega_real": 1.625372724313066e-14, "outgoing_phase_residual": 1.0786137608076451e-12, "pencil_residual": 1.923689500443394e-14, "reference_difference": 0.3825650148493922, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.4912558751131969, "transformed_residual": 0.9997403514617462, "unfactored_residual": 1.0000000000000002 }, { "N": 28, "accepted": false, "branch_id": "branch-0240", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 2.6302642685908588e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.826183166934923e-12, "infinity_row_residual": 8.216222352848061e-13, "ingoing_phase_residual": 3.21639261863238e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.013411346803115176, "matching_checks": [ { "best_distance": 0.055970225182186, "edge_kind": "resolution", "eigenfunction_mismatch": 0.010595109004533976, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j1", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.055970225182186, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j1", "reverse_second_best_gap": 0.126432350157201, "reverse_second_distance": 0.182402575339387, "reverse_unambiguous": true, "second_best_gap": 0.03981126803599119, "second_distance": 0.0957814932181772, "unambiguous": true }, { "best_distance": 0.033526528674381495, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008339269937734373, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.033526528674381495, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j1", "reverse_second_best_gap": 0.059379292808438, "reverse_second_distance": 0.09290582148281949, "reverse_unambiguous": true, "second_best_gap": 0.12344572791776395, "second_distance": 0.15697225659214545, "unambiguous": true }, { "best_distance": 0.042219740785084475, "edge_kind": "map", "eigenfunction_mismatch": 0.006709602209650778, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j2", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.042219740785084475, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j1", "reverse_second_best_gap": 0.126432350157201, "reverse_second_distance": 0.16865209094228548, "reverse_unambiguous": true, "second_best_gap": 0.027620024331610468, "second_distance": 0.06983976511669494, "unambiguous": true }, { "best_distance": 0.040895496407038934, "edge_kind": "map", "eigenfunction_mismatch": 0.013411346803115176, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j1", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.040895496407038934, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j1", "reverse_second_best_gap": 0.04464135734312312, "reverse_second_distance": 0.08553685375016205, "reverse_unambiguous": true, "second_best_gap": 0.07311478358617568, "second_distance": 0.11401027999321461, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.042219740785084475, "max_resolution_difference": 0.055970225182186, "omega_imag": -0.13338574650859616, "omega_real": 2.8331604711973786e-13, "outgoing_phase_residual": 5.626055177287981e-14, "pencil_residual": 1.047076403268705e-14, "reference_difference": 0.3763030280789593, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.010595109004533976, "transformed_residual": 0.00021054519327872337, "unfactored_residual": 0.002284698878213804 }, { "N": 28, "accepted": false, "branch_id": "branch-0241", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 3.0892911144422696e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 6.2200891366071465e-12, "infinity_row_residual": 5.486229019576341e-13, "ingoing_phase_residual": 2.282395581976182e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.8724234025824238e-05, "matching_checks": [ { "best_distance": 0.22479532619904996, "edge_kind": "resolution", "eigenfunction_mismatch": 0.024314672287313766, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j1", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.055970225182186, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j1", "reverse_second_best_gap": 0.126432350157201, "reverse_second_distance": 0.182402575339387, "reverse_unambiguous": true, "second_best_gap": 0.0829634933154384, "second_distance": 0.30775881951448836, "unambiguous": true }, { "best_distance": 0.056086479399542866, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010661008865664456, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j2", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.056086479399542866, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j2", "reverse_second_best_gap": 0.24512640243146194, "reverse_second_distance": 0.3012128818310048, "reverse_unambiguous": true, "second_best_gap": 0.06770681538954765, "second_distance": 0.12379329478909051, "unambiguous": true }, { "best_distance": 0.01652920295142896, "edge_kind": "map", "eigenfunction_mismatch": 1.8724234025824238e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j3", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01652920295142896, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j2", "reverse_second_best_gap": 0.24770714547837808, "reverse_second_distance": 0.26423634842980703, "reverse_unambiguous": true, "second_best_gap": 0.22201660764472253, "second_distance": 0.2385458105961515, "unambiguous": true }, { "best_distance": 0.007637431867678958, "edge_kind": "map", "eigenfunction_mismatch": 3.16934819100112e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j3", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.007637431867678958, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j2", "reverse_second_best_gap": 0.28076555138123593, "reverse_second_distance": 0.2884029832489149, "reverse_unambiguous": true, "second_best_gap": 0.14129690450267735, "second_distance": 0.1489343363703563, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01652920295142896, "max_resolution_difference": 0.22479532619904996, "omega_imag": -0.4141512978898321, "omega_real": 2.523157636760222e-11, "outgoing_phase_residual": 1.8041124150158794e-14, "pencil_residual": 2.432260528935091e-15, "reference_difference": 0.4953568429544654, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.024314672287313766, "transformed_residual": 1.8223637773289254e-07, "unfactored_residual": 3.172205200307597e-07 }, { "N": 28, "accepted": false, "branch_id": "branch-0242", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 2.2642103056136697e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.776837774464444e-13, "infinity_row_residual": 2.5626076163104146e-13, "ingoing_phase_residual": 5.064727496643085e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 5.8763352490665e-06, "matching_checks": [ { "best_distance": 0.0053217380263302855, "edge_kind": "resolution", "eigenfunction_mismatch": 1.951537160871375e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j2", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0053217380263302855, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j3", "reverse_second_best_gap": 0.24910594961647237, "reverse_second_distance": 0.25442768764280266, "reverse_unambiguous": true, "second_best_gap": 0.24308547518891013, "second_distance": 0.24840721321524042, "unambiguous": true }, { "best_distance": 0.0028232406567485343, "edge_kind": "resolution", "eigenfunction_mismatch": 5.194890402293595e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j3", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0028232406567485343, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j3", "reverse_second_best_gap": 0.24577362651320592, "reverse_second_distance": 0.24859686716995444, "reverse_unambiguous": true, "second_best_gap": 0.24801626224274634, "second_distance": 0.25083950289949486, "unambiguous": true }, { "best_distance": 0.006683385249761166, "edge_kind": "map", "eigenfunction_mismatch": 2.8235415816535436e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j4", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006683385249761166, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j3", "reverse_second_best_gap": 0.24016518713802612, "reverse_second_distance": 0.2468485723877873, "reverse_unambiguous": true, "second_best_gap": 0.24406548011125515, "second_distance": 0.2507488653610163, "unambiguous": true }, { "best_distance": 0.009632640803679171, "edge_kind": "map", "eigenfunction_mismatch": 5.8763352490665e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j4", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009632640803679171, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j3", "reverse_second_best_gap": 0.2318726988920487, "reverse_second_distance": 0.24150533969572788, "reverse_unambiguous": true, "second_best_gap": 0.24041381472339649, "second_distance": 0.25004645552707566, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009632640803679171, "max_resolution_difference": 0.0053217380263302855, "omega_imag": -0.9527317238730779, "omega_real": 0.2126849683465122, "outgoing_phase_residual": 7.628745051415305e-15, "pencil_residual": 1.3146634026086953e-15, "reference_difference": 0.8786434505908973, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.951537160871375e-06, "transformed_residual": 1.581976073745338e-11, "unfactored_residual": 1.2019071063026627e-11 }, { "N": 28, "accepted": false, "branch_id": "branch-0243", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 1.1033101755045408e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.419677607915513e-13, "infinity_row_residual": 4.0882804917797833e-13, "ingoing_phase_residual": 7.19298920448401e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.327810939676937e-07, "matching_checks": [ { "best_distance": 0.0019705235021820157, "edge_kind": "resolution", "eigenfunction_mismatch": 7.740245973053561e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j3", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0019705235021820157, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j4", "reverse_second_best_gap": 0.23266810197600413, "reverse_second_distance": 0.23463862547818615, "reverse_unambiguous": true, "second_best_gap": 0.23104859806169986, "second_distance": 0.23301912156388188, "unambiguous": true }, { "best_distance": 0.0010475206886421526, "edge_kind": "resolution", "eigenfunction_mismatch": 2.3761547929268545e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j4", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0010475206886421526, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j4", "reverse_second_best_gap": 0.23103742321217646, "reverse_second_distance": 0.2320849439008186, "reverse_unambiguous": true, "second_best_gap": 0.23177913996839733, "second_distance": 0.23282666065703947, "unambiguous": true }, { "best_distance": 0.0017059843757790832, "edge_kind": "map", "eigenfunction_mismatch": 6.327810939676937e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j5", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0017059843757790832, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j4", "reverse_second_best_gap": 0.23041675615195292, "reverse_second_distance": 0.23212274052773202, "reverse_unambiguous": true, "second_best_gap": 0.2311304481279443, "second_distance": 0.2328364325037234, "unambiguous": true }, { "best_distance": 0.00143840362384506, "edge_kind": "map", "eigenfunction_mismatch": 4.4921615904858214e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j5", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00143840362384506, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j4", "reverse_second_best_gap": 0.23139336930964122, "reverse_second_distance": 0.23283177293348628, "reverse_unambiguous": true, "second_best_gap": 0.23141191323963298, "second_distance": 0.23285031686347804, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0017059843757790832, "max_resolution_difference": 0.0019705235021820157, "omega_imag": -0.7054403009277072, "omega_real": 0.2499746602725295, "outgoing_phase_residual": 1.0112175573993643e-14, "pencil_residual": 1.6818947114045066e-15, "reference_difference": 0.628765504831897, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.740245973053561e-07, "transformed_residual": 1.7054623575816025e-10, "unfactored_residual": 1.5283368298586482e-10 }, { "N": 28, "accepted": false, "branch_id": "branch-0244", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 2.8724228834582355e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.593479805051894e-13, "infinity_row_residual": 6.481475223396376e-13, "ingoing_phase_residual": 9.92260716466383e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.163839882944444e-09, "matching_checks": [ { "best_distance": 0.00016308715227913875, "edge_kind": "resolution", "eigenfunction_mismatch": 3.630991718406307e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N24:c1.4:j4", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00016308715227913875, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j5", "reverse_second_best_gap": 0.20905274391716516, "reverse_second_distance": 0.2092158310694443, "reverse_unambiguous": true, "second_best_gap": 0.20918607594140146, "second_distance": 0.2093491630936806, "unambiguous": true }, { "best_distance": 6.235584252509707e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 5.259559565651273e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j5", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.235584252509707e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j5", "reverse_second_best_gap": 0.20934602759405396, "reverse_second_distance": 0.20940838343657905, "reverse_unambiguous": true, "second_best_gap": 0.20928758638154035, "second_distance": 0.20934994222406544, "unambiguous": true }, { "best_distance": 6.741963170191411e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.163839882944444e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j6", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.741963170191411e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j5", "reverse_second_best_gap": 0.20933115416609152, "reverse_second_distance": 0.20939857379779345, "reverse_unambiguous": true, "second_best_gap": 0.20928246093668176, "second_distance": 0.2093498805683837, "unambiguous": true }, { "best_distance": 5.093404708439387e-05, "edge_kind": "map", "eigenfunction_mismatch": 3.5221721095268776e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j6", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.093404708439387e-05, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j5", "reverse_second_best_gap": 0.20933376844042084, "reverse_second_distance": 0.20938470248750524, "reverse_unambiguous": true, "second_best_gap": 0.20929890676136548, "second_distance": 0.20934984080844987, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.741963170191411e-05, "max_resolution_difference": 0.00016308715227913875, "omega_imag": -0.4782372135343187, "omega_real": 0.30110664091677125, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 2.2546773474940854e-15, "reference_difference": 0.39598059501808247, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.630991718406307e-08, "transformed_residual": 9.99813109126958e-10, "unfactored_residual": 1.1053137039053392e-09 }, { "N": 28, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 4.005517152846793e-10, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.3859411631029725e-13, "infinity_row_residual": 2.0021955638484724e-12, "ingoing_phase_residual": 1.0806785208336763e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.1483925749521404e-12, "matching_checks": [ { "best_distance": 2.251595944550446e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 5.035294403654689e-11, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j5", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.251595944550446e-06, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j6", "reverse_second_best_gap": 0.18690589756810727, "reverse_second_distance": 0.18690814916405182, "reverse_unambiguous": true, "second_best_gap": 0.18690545419423388, "second_distance": 0.18690770579017843, "unambiguous": true }, { "best_distance": 5.09645514730736e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.5230928457631308e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j6", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.09645514730736e-07, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j6", "reverse_second_best_gap": 0.18690669966594778, "reverse_second_distance": 0.1869072093114625, "reverse_unambiguous": true, "second_best_gap": 0.1869072000003526, "second_distance": 0.18690770964586734, "unambiguous": true }, { "best_distance": 4.6986996872196266e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.1483925749521404e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j7", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.6986996872196266e-07, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j6", "reverse_second_best_gap": 0.1869068079974295, "reverse_second_distance": 0.18690727786739822, "reverse_unambiguous": true, "second_best_gap": 0.18690723978476798, "second_distance": 0.1869077096547367, "unambiguous": true }, { "best_distance": 4.183665466652148e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.7004175845158898e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j7", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.183665466652148e-07, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j6", "reverse_second_best_gap": 0.18690689565810048, "reverse_second_distance": 0.18690731402464714, "reverse_unambiguous": true, "second_best_gap": 0.18690729131856573, "second_distance": 0.1869077096851124, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.6986996872196266e-07, "max_resolution_difference": 2.251595944550446e-06, "omega_imag": -0.27391528250949976, "omega_real": 0.3467107498612975, "outgoing_phase_residual": 1.700146255559969e-14, "pencil_residual": 5.2882900347796725e-15, "reference_difference": 0.18690770965345896, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.035294403654689e-11, "transformed_residual": 2.1767835270630086e-09, "unfactored_residual": 2.8940769759123735e-09 }, { "N": 28, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N28:c1.4:j7", "case": "schwarzschild", "coefficient_tail": 1.973148150635536e-10, "failure_reasons": [], "horizon_row_residual": 7.305307345894266e-13, "infinity_row_residual": 2.456340208722232e-12, "ingoing_phase_residual": 9.235201451452145e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 4.798493033620461e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 7.771561172376096e-16, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N24:c1.4:j6", "peer_configuration": [ "schwarzschild", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.798493033620461e-09, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j7", "reverse_second_best_gap": 0.18690770099168538, "reverse_second_distance": 0.18690770579017843, "reverse_unambiguous": true, "second_best_gap": 0.18690814436555878, "second_distance": 0.18690814916405182, "unambiguous": true }, { "best_distance": 5.842395466311919e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j7", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.842395466311919e-10, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j7", "reverse_second_best_gap": 0.1869077090616278, "reverse_second_distance": 0.18690770964586734, "reverse_unambiguous": true, "second_best_gap": 0.18690720872722297, "second_distance": 0.1869072093114625, "unambiguous": true }, { "best_distance": 5.386179453790344e-10, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j8", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.386179453790344e-10, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j7", "reverse_second_best_gap": 0.18690770911611873, "reverse_second_distance": 0.1869077096547367, "reverse_unambiguous": true, "second_best_gap": 0.18690727732878026, "second_distance": 0.18690727786739822, "unambiguous": true }, { "best_distance": 5.23206473061774e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j8", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.23206473061774e-10, "reverse_nearest_candidate_id": "schwarzschild:N28:c1.4:j7", "reverse_second_best_gap": 0.1869077091619059, "reverse_second_distance": 0.1869077096851124, "reverse_unambiguous": true, "second_best_gap": 0.18690731350144066, "second_distance": 0.18690731402464714, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.386179453790344e-10, "max_resolution_difference": 4.798493033620461e-09, "omega_imag": -0.0889623151906953, "omega_real": 0.3736716842120176, "outgoing_phase_residual": 1.9516433206440762e-14, "pencil_residual": 3.4514955671285244e-15, "reference_difference": 5.391562691045807e-10, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 7.771561172376096e-16, "transformed_residual": 1.5014151185227127e-09, "unfactored_residual": 1.7135542544461459e-09 }, { "N": 32, "accepted": false, "branch_id": "branch-0245", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.21239019027975967, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.771779950438234e-11, "infinity_row_residual": 7.100558456602253e-14, "ingoing_phase_residual": 1.5288217633004086e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.6713623433035834, "matching_checks": [ { "best_distance": 0.0008098773597573451, "edge_kind": "resolution", "eigenfunction_mismatch": 0.05899281439468096, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j0", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0008098773597573451, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j0", "reverse_second_best_gap": 0.04404795250704026, "reverse_second_distance": 0.0448578298667976, "reverse_unambiguous": true, "second_best_gap": 0.06009708837892633, "second_distance": 0.06090696573868367, "unambiguous": true }, { "best_distance": 0.000554697140719589, "edge_kind": "resolution", "eigenfunction_mismatch": 0.059147017869363716, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j0", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.000554697140719589, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j0", "reverse_second_best_gap": 0.04566770722655494, "reverse_second_distance": 0.04622240436727453, "reverse_unambiguous": true, "second_best_gap": 0.06187157657007818, "second_distance": 0.062426273710797765, "unambiguous": true }, { "best_distance": 0.012143225170485841, "edge_kind": "map", "eigenfunction_mismatch": 0.284665000822219, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j0", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.012143225170485841, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j0", "reverse_second_best_gap": 0.02138125688558326, "reverse_second_distance": 0.0335244820560691, "reverse_unambiguous": true, "second_best_gap": 0.10632135496916377, "second_distance": 0.11846458013964961, "unambiguous": true }, { "best_distance": 0.09722020218099713, "edge_kind": "map", "eigenfunction_mismatch": 0.6713623433035834, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.03181922370474799, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.019733271249694186, "reverse_second_distance": 0.051552494954442175, "reverse_unambiguous": true, "second_best_gap": 0.19049878526652692, "second_distance": 0.28771898744752405, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.09722020218099713, "max_resolution_difference": 0.0008098773597573451, "omega_imag": -0.00263901565321755, "omega_real": 6.086068204789868e-15, "outgoing_phase_residual": 2.841996169650196e-12, "pencil_residual": 1.1107696069846032e-13, "reference_difference": 0.3835130243744907, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.059147017869363716, "transformed_residual": 0.9995915249615005, "unfactored_residual": 1.0 }, { "N": 32, "accepted": false, "branch_id": "branch-0246", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 5.410301141437288e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0297529721496713e-09, "infinity_row_residual": 1.0126466869410166e-12, "ingoing_phase_residual": 1.8594512667113872e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.13903462556519208, "matching_checks": [ { "best_distance": 0.015239258512128727, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008228249439547697, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j1", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.015239258512128727, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j1", "reverse_second_best_gap": 0.04566770722655494, "reverse_second_distance": 0.06090696573868367, "reverse_unambiguous": true, "second_best_gap": 0.029618571354668874, "second_distance": 0.0448578298667976, "unambiguous": true }, { "best_distance": 0.016758566484242822, "edge_kind": "resolution", "eigenfunction_mismatch": 0.009690705534525668, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j1", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.016758566484242822, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j1", "reverse_second_best_gap": 0.04566770722655494, "reverse_second_distance": 0.062426273710797765, "reverse_unambiguous": true, "second_best_gap": 0.02946383788303171, "second_distance": 0.04622240436727453, "unambiguous": true }, { "best_distance": 0.0335244820560691, "edge_kind": "map", "eigenfunction_mismatch": 0.13903462556519208, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j0", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.012143225170485841, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j0", "reverse_second_best_gap": 0.02138125688558326, "reverse_second_distance": 0.0335244820560691, "reverse_unambiguous": true, "second_best_gap": 0.039272390857025566, "second_distance": 0.07279687291309467, "unambiguous": true }, { "best_distance": 0.051552494954442175, "edge_kind": "map", "eigenfunction_mismatch": 0.05466425023443733, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.03181922370474799, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.019733271249694186, "reverse_second_distance": 0.051552494954442175, "reverse_unambiguous": true, "second_best_gap": 0.19049878526652694, "second_distance": 0.2420512802209691, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.051552494954442175, "max_resolution_difference": 0.016758566484242822, "omega_imag": -0.048306722879772494, "omega_real": 1.0471189998118612e-12, "outgoing_phase_residual": 1.5525081220602033e-13, "pencil_residual": 4.5607661462122776e-14, "reference_difference": 0.3758768481320692, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.009690705534525668, "transformed_residual": 0.0012580228027549985, "unfactored_residual": 0.03221699506379668 }, { "N": 32, "accepted": false, "branch_id": "branch-0247", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 4.6034089388967763e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.126847522250324e-11, "infinity_row_residual": 1.6975112227502454e-12, "ingoing_phase_residual": 3.169991906748493e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.007633140864815924, "matching_checks": [ { "best_distance": 0.04392704575471798, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00737350980678475, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j2", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04392704575471798, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.06826223263696993, "reverse_second_distance": 0.11218927839168791, "reverse_unambiguous": true, "second_best_gap": 0.024205414392343458, "second_distance": 0.06813246014706144, "unambiguous": true }, { "best_distance": 0.021818470438610182, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002179328030626815, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j2", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.021818470438610182, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.08337171865919016, "reverse_second_distance": 0.10519018909780034, "reverse_unambiguous": true, "second_best_gap": 0.04479468173633716, "second_distance": 0.06661315217494734, "unambiguous": true }, { "best_distance": 0.010574845746095504, "edge_kind": "map", "eigenfunction_mismatch": 0.000683281839193306, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j1", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.010574845746095504, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.062222027166999164, "reverse_second_distance": 0.07279687291309467, "reverse_unambiguous": true, "second_best_gap": 0.10632135496916377, "second_distance": 0.11689620071525927, "unambiguous": true }, { "best_distance": 0.03181922370474799, "edge_kind": "map", "eigenfunction_mismatch": 0.007633140864815924, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03181922370474799, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.019733271249694186, "reverse_second_distance": 0.051552494954442175, "reverse_unambiguous": true, "second_best_gap": 0.12686033785703096, "second_distance": 0.15867956156177895, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.03181922370474799, "max_resolution_difference": 0.04392704575471798, "omega_imag": -0.13167844153896266, "omega_real": 2.2630900179898703e-11, "outgoing_phase_residual": 5.698219673888616e-14, "pencil_residual": 2.018337065597135e-14, "reference_difference": 0.3761052979240507, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00737350980678475, "transformed_residual": 4.808262095298273e-06, "unfactored_residual": 4.02115229206629e-05 }, { "N": 32, "accepted": false, "branch_id": "branch-0248", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 2.328737115894625e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.566545819932544e-13, "infinity_row_residual": 5.134041446525433e-13, "ingoing_phase_residual": 2.35562469697026e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00013414458164506815, "matching_checks": [ { "best_distance": 0.011432482720337646, "edge_kind": "resolution", "eigenfunction_mismatch": 9.389639746282263e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j3", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.011432482720337646, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j3", "reverse_second_best_gap": 0.09839484653269698, "reverse_second_distance": 0.10982732925303462, "reverse_unambiguous": true, "second_best_gap": 0.22201660764472253, "second_distance": 0.23344909036506017, "unambiguous": true }, { "best_distance": 0.014122163724632576, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1240253635746988e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j3", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.014122163724632576, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j3", "reverse_second_best_gap": 0.12125981197336855, "reverse_second_distance": 0.13538197569800112, "reverse_unambiguous": true, "second_best_gap": 0.24143550195653543, "second_distance": 0.255557665681168, "unambiguous": true }, { "best_distance": 0.042796420020187353, "edge_kind": "map", "eigenfunction_mismatch": 7.840933129832361e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j2", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.042796420020187353, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j3", "reverse_second_best_gap": 0.12125981197337227, "reverse_second_distance": 0.16405623199355962, "reverse_unambiguous": true, "second_best_gap": 0.2451545618456863, "second_distance": 0.28795098186587365, "unambiguous": true }, { "best_distance": 0.06118319963063418, "edge_kind": "map", "eigenfunction_mismatch": 0.00013414458164506815, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j2", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.06118319963063418, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j3", "reverse_second_best_gap": 0.12125981197337227, "reverse_second_distance": 0.18244301160400644, "reverse_unambiguous": true, "second_best_gap": 0.057513374927365024, "second_distance": 0.1186965745579992, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.06118319963063418, "max_resolution_difference": 0.014122163724632576, "omega_imag": -0.4090545776587408, "omega_real": 4.8006971133671056e-11, "outgoing_phase_residual": 1.8318679906315083e-14, "pencil_residual": 1.8358075716080336e-15, "reference_difference": 0.49202599918386963, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1240253635746988e-05, "transformed_residual": 9.833950873021248e-10, "unfactored_residual": 1.3024339526344741e-09 }, { "N": 32, "accepted": false, "branch_id": "branch-0249", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 2.5162905300524448e-09, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.366099202763747e-12, "infinity_row_residual": 1.4235945259132476e-12, "ingoing_phase_residual": 9.920584286282619e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0039573215562943576, "matching_checks": [ { "best_distance": 0.10982732925303462, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002612151267354368, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j3", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.011432482720337646, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j3", "reverse_second_best_gap": 0.09839484653269698, "reverse_second_distance": 0.10982732925303462, "reverse_unambiguous": true, "second_best_gap": 0.0023619491386532854, "second_distance": 0.11218927839168791, "unambiguous": true }, { "best_distance": 0.1342978537077957, "edge_kind": "resolution", "eigenfunction_mismatch": 0.025839762189909576, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j2", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.021818470438610182, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j2", "reverse_second_best_gap": 0.08337171865919016, "reverse_second_distance": 0.10519018909780034, "reverse_unambiguous": true, "second_best_gap": 0.0010841219902054111, "second_distance": 0.13538197569800112, "unambiguous": true }, { "best_distance": 0.16405623199355962, "edge_kind": "map", "eigenfunction_mismatch": 0.0039573215562943576, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j2", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.042796420020187353, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j3", "reverse_second_best_gap": 0.12125981197337227, "reverse_second_distance": 0.16405623199355962, "reverse_unambiguous": true, "second_best_gap": 0.0026349378989417582, "second_distance": 0.16669116989250138, "unambiguous": true }, { "best_distance": 0.0025632374153730657, "edge_kind": "map", "eigenfunction_mismatch": 3.132359474133928e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j1", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0025632374153730657, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j4", "reverse_second_best_gap": 0.11613333714262614, "reverse_second_distance": 0.1186965745579992, "reverse_unambiguous": true, "second_best_gap": 0.17987977418863338, "second_distance": 0.18244301160400644, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16405623199355962, "max_resolution_difference": 0.1342978537077957, "omega_imag": -0.28779476568536855, "omega_real": 5.906238740234917e-11, "outgoing_phase_residual": 2.609024107869118e-14, "pencil_residual": 6.696071463501383e-15, "reference_difference": 0.42327871534399264, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.025839762189909576, "transformed_residual": 2.18778358761838e-08, "unfactored_residual": 4.905824155007243e-08 }, { "N": 32, "accepted": false, "branch_id": "branch-0250", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 5.130672545513722e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.2791340763422043e-12, "infinity_row_residual": 2.7076391686735598e-12, "ingoing_phase_residual": 6.604664692932974e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0019694598256057017, "matching_checks": [ { "best_distance": 0.24712646796475385, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0018966027304405664, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j4", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.002035895328262619, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.24509057263649123, "reverse_second_distance": 0.24712646796475385, "reverse_unambiguous": true, "second_best_gap": 0.02719580892449036, "second_distance": 0.2743222768892442, "unambiguous": true }, { "best_distance": 0.033135810162046614, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4700937757859975e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j4", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.033135810162046614, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j5", "reverse_second_best_gap": 0.22961335946866449, "reverse_second_distance": 0.2627491696307111, "reverse_unambiguous": true, "second_best_gap": 0.20801024183457423, "second_distance": 0.24114605199662084, "unambiguous": true }, { "best_distance": 0.24488687207588106, "edge_kind": "map", "eigenfunction_mismatch": 0.0018627465890105332, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j3", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.002473380985541522, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.24081849025281452, "reverse_second_distance": 0.24329187123835605, "reverse_unambiguous": true, "second_best_gap": 0.029124018937625173, "second_distance": 0.27401089101350623, "unambiguous": true }, { "best_distance": 0.2509841064090985, "edge_kind": "map", "eigenfunction_mismatch": 0.0019694598256057017, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j3", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0047906535534844065, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.24442321764255232, "reverse_second_distance": 0.24921387119603672, "reverse_unambiguous": true, "second_best_gap": 0.022672964668071116, "second_distance": 0.27365707107716963, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2509841064090985, "max_resolution_difference": 0.24712646796475385, "omega_imag": -0.8142745312010276, "omega_real": 1.6345951994035357e-08, "outgoing_phase_residual": 9.214851104388801e-15, "pencil_residual": 8.450137336912888e-15, "reference_difference": 0.8159095081507737, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0018966027304405664, "transformed_residual": 4.444138337315388e-13, "unfactored_residual": 2.957838215076193e-13 }, { "N": 32, "accepted": false, "branch_id": "branch-0251", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 1.0259981985712993e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.109551587464745e-14, "infinity_row_residual": 3.4373672578808917e-12, "ingoing_phase_residual": 5.114431698330775e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.431231309134695e-06, "matching_checks": [ { "best_distance": 0.002035895328262619, "edge_kind": "resolution", "eigenfunction_mismatch": 2.5389501467909525e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j4", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002035895328262619, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.24509057263649123, "reverse_second_distance": 0.24712646796475385, "reverse_unambiguous": true, "second_best_gap": 0.24351947366510035, "second_distance": 0.24555536899336297, "unambiguous": true }, { "best_distance": 0.005778605421747979, "edge_kind": "resolution", "eigenfunction_mismatch": 2.014696270924432e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j5", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005778605421747979, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.23536744657487285, "reverse_second_distance": 0.24114605199662084, "reverse_unambiguous": true, "second_best_gap": 0.23970447288638502, "second_distance": 0.245483078308133, "unambiguous": true }, { "best_distance": 0.002473380985541522, "edge_kind": "map", "eigenfunction_mismatch": 3.75935955587714e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j3", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002473380985541522, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.24081849025281452, "reverse_second_distance": 0.24329187123835605, "reverse_unambiguous": true, "second_best_gap": 0.24267215986670265, "second_distance": 0.2451455408522442, "unambiguous": true }, { "best_distance": 0.0047906535534844065, "edge_kind": "map", "eigenfunction_mismatch": 1.431231309134695e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j3", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0047906535534844065, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j6", "reverse_second_best_gap": 0.24442321764255232, "reverse_second_distance": 0.24921387119603672, "reverse_unambiguous": true, "second_best_gap": 0.2408369140415138, "second_distance": 0.2456275675949982, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0047906535534844065, "max_resolution_difference": 0.005778605421747979, "omega_imag": -0.9467106329038673, "omega_real": 0.20820380393884275, "outgoing_phase_residual": 7.737037839602703e-15, "pencil_residual": 1.1407921447171584e-14, "reference_difference": 0.8735627024749428, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.014696270924432e-06, "transformed_residual": 4.6234531574989506e-14, "unfactored_residual": 1.733605431710957e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0252", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 7.195698291235157e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.3221702424762445e-13, "infinity_row_residual": 3.1539995045208197e-12, "ingoing_phase_residual": 7.187424435194981e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.199961049414e-07, "matching_checks": [ { "best_distance": 0.00012968358875052735, "edge_kind": "resolution", "eigenfunction_mismatch": 3.686797644952833e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c0.7:j5", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00012968358875052735, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j7", "reverse_second_best_gap": 0.2319431700357835, "reverse_second_distance": 0.23207285362453403, "reverse_unambiguous": true, "second_best_gap": 0.2320096086409614, "second_distance": 0.23213929222971194, "unambiguous": true }, { "best_distance": 3.6302196740288834e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.8844138189043633e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j6", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.6302196740288834e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j7", "reverse_second_best_gap": 0.23211436531988158, "reverse_second_distance": 0.23215066751662186, "reverse_unambiguous": true, "second_best_gap": 0.23210195581092416, "second_distance": 0.23213825800766444, "unambiguous": true }, { "best_distance": 0.00034882274548953305, "edge_kind": "map", "eigenfunction_mismatch": 2.661474818310694e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j4", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00034882274548953305, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j7", "reverse_second_best_gap": 0.2321373511963725, "reverse_second_distance": 0.23248617394186202, "reverse_unambiguous": true, "second_best_gap": 0.23179203201314402, "second_distance": 0.23214085475863355, "unambiguous": true }, { "best_distance": 0.0007443594096965919, "edge_kind": "map", "eigenfunction_mismatch": 1.199961049414e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j4", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0007443594096965919, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j7", "reverse_second_best_gap": 0.23129053565269692, "reverse_second_distance": 0.2320348950623935, "reverse_unambiguous": true, "second_best_gap": 0.23138500393940856, "second_distance": 0.23212936334910514, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0007443594096965919, "max_resolution_difference": 0.00012968358875052735, "omega_imag": -0.7050656960670219, "omega_real": 0.2515061430627382, "outgoing_phase_residual": 1.0130594991238521e-14, "pencil_residual": 9.048681251237959e-15, "reference_difference": 0.6280985550118223, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.686797644952833e-09, "transformed_residual": 8.572820270247749e-14, "unfactored_residual": 5.97158858557163e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j8", "case": "schwarzschild", "coefficient_tail": 1.7518327152091514e-13, "failure_reasons": [ "matching:map:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.3263671184893505e-13, "infinity_row_residual": 3.5926796814735577e-12, "ingoing_phase_residual": 9.923105212860517e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 8.69042837692291e-10, "matching_checks": [ { "best_distance": 2.2702379043134913e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 6.96720459103517e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j6", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.2702379043134913e-06, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j8", "reverse_second_best_gap": 0.20939675401412464, "reverse_second_distance": 0.20939902425202894, "reverse_unambiguous": true, "second_best_gap": 0.20939771843829902, "second_distance": 0.20939998867620332, "unambiguous": true }, { "best_distance": 7.645877797277724e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.90589815835574e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j7", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.645877797277724e-07, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j8", "reverse_second_best_gap": 0.20939928059418347, "reverse_second_distance": 0.2094000451819632, "reverse_unambiguous": true, "second_best_gap": 0.20939923079055395, "second_distance": 0.20939999537833368, "unambiguous": true }, { "best_distance": 6.101398923981987e-06, "edge_kind": "map", "eigenfunction_mismatch": 5.034039851636862e-11, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j5", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.101398923981987e-06, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j8", "reverse_second_best_gap": 0.2093913246208783, "reverse_second_distance": 0.2093974260198023, "reverse_unambiguous": true, "second_best_gap": 0.20939389942029743, "second_distance": 0.20940000081922142, "unambiguous": true }, { "best_distance": 2.5369821665509443e-05, "edge_kind": "map", "eigenfunction_mismatch": 8.69042837692291e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j5", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5369821665509443e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j8", "reverse_second_best_gap": 0.20938346405044111, "reverse_second_distance": 0.20940883387210663, "reverse_unambiguous": true, "second_best_gap": 0.2093746804902918, "second_distance": 0.2094000503119573, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.5369821665509443e-05, "max_resolution_difference": 2.2702379043134913e-06, "omega_imag": -0.47827650399759497, "omega_real": 0.30105267162867466, "outgoing_phase_residual": 1.3274943715714489e-14, "pencil_residual": 9.160835976574916e-15, "reference_difference": 0.3960291128653706, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.96720459103517e-12, "transformed_residual": 3.4307049143959595e-13, "unfactored_residual": 2.728314291315036e-13 }, { "N": 32, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j9", "case": "schwarzschild", "coefficient_tail": 1.4763663306881415e-13, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.8580221695050273e-13, "infinity_row_residual": 4.9314261203132e-12, "ingoing_phase_residual": 1.080677848071731e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1868284133242923e-13, "matching_checks": [ { "best_distance": 5.6160262421039875e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j7", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.6160262421039875e-09, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j9", "reverse_second_best_gap": 0.18690727178813132, "reverse_second_distance": 0.18690727740415758, "reverse_unambiguous": true, "second_best_gap": 0.1869072662241723, "second_distance": 0.18690727184019856, "unambiguous": true }, { "best_distance": 1.153873242635522e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j8", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.153873242635522e-09, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j9", "reverse_second_best_gap": 0.18690726961915935, "reverse_second_distance": 0.1869072707730326, "reverse_unambiguous": true, "second_best_gap": 0.18690727068520366, "second_distance": 0.1869072718390769, "unambiguous": true }, { "best_distance": 1.2976835382362797e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.5543122344752192e-15, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j6", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.2976835382362797e-08, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j9", "reverse_second_best_gap": 0.18690725150297122, "reverse_second_distance": 0.1869072644798066, "reverse_unambiguous": true, "second_best_gap": 0.18690725885951412, "second_distance": 0.1869072718363495, "unambiguous": true }, { "best_distance": 1.1023497776076656e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.1868284133242923e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j6", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1023497776076656e-07, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j9", "reverse_second_best_gap": 0.18690709861324423, "reverse_second_distance": 0.18690720884822198, "reverse_unambiguous": true, "second_best_gap": 0.18690716159635137, "second_distance": 0.18690727183132913, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1023497776076656e-07, "max_resolution_difference": 5.6160262421039875e-09, "omega_imag": -0.27391487595616, "omega_real": 0.3467109960576341, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 1.0245110499437669e-14, "reference_difference": 0.18690727183892086, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 4.4375043004219943e-13, "unfactored_residual": 4.702904060291386e-13 }, { "N": 32, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N32:c0.7:j10", "case": "schwarzschild", "coefficient_tail": 3.5558841387210516e-14, "failure_reasons": [], "horizon_row_residual": 2.6286913544137147e-12, "infinity_row_residual": 1.0078649782776342e-11, "ingoing_phase_residual": 9.235201441963224e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.513528839010199e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c0.7:j8", "peer_configuration": [ "schwarzschild", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.513528839010199e-12, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j10", "reverse_second_best_gap": 0.18690727183868502, "reverse_second_distance": 0.18690727184019856, "reverse_unambiguous": true, "second_best_gap": 0.18690727740264404, "second_distance": 0.18690727740415758, "unambiguous": true }, { "best_distance": 1.1491618149166828e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j9", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1491618149166828e-13, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j10", "reverse_second_best_gap": 0.186907271838962, "reverse_second_distance": 0.1869072718390769, "reverse_unambiguous": true, "second_best_gap": 0.1869072707729177, "second_distance": 0.1869072707730326, "unambiguous": true }, { "best_distance": 3.80956050162114e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j7", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.80956050162114e-12, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j10", "reverse_second_best_gap": 0.18690727183253994, "reverse_second_distance": 0.1869072718363495, "reverse_unambiguous": true, "second_best_gap": 0.18690726447599704, "second_distance": 0.1869072644798066, "unambiguous": true }, { "best_distance": 7.031542853593791e-11, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j7", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.031542853593791e-11, "reverse_nearest_candidate_id": "schwarzschild:N32:c0.7:j10", "reverse_second_best_gap": 0.1869072717610137, "reverse_second_distance": 0.18690727183132913, "reverse_unambiguous": true, "second_best_gap": 0.18690720877790656, "second_distance": 0.18690720884822198, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.031542853593791e-11, "max_resolution_difference": 1.513528839010199e-12, "omega_imag": -0.08896231568889111, "omega_real": 0.3736716844182267, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 1.2032699657202862e-14, "reference_difference": 1.9015393723220901e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 5.08645215062394e-13, "unfactored_residual": 1.9691649816249434e-13 }, { "N": 32, "accepted": false, "branch_id": "branch-0253", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.007882413123492837, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.3874529186010616e-09, "infinity_row_residual": 6.400783362124706e-14, "ingoing_phase_residual": 1.620415305807893e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.3044359644442689, "matching_checks": [ { "best_distance": 0.004593225691678157, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008188424980793862, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j0", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004593225691678157, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j0", "reverse_second_best_gap": 0.09713490358580745, "reverse_second_distance": 0.1017281292774856, "reverse_unambiguous": true, "second_best_gap": 0.0731147835861757, "second_distance": 0.07770800927785385, "unambiguous": true }, { "best_distance": 0.013365722331398345, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0446870538087647, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j0", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.013365722331398345, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j0", "reverse_second_best_gap": 0.07958991030636707, "reverse_second_distance": 0.09295563263776542, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.07960312546476817, "unambiguous": true }, { "best_distance": 0.012143225170485841, "edge_kind": "map", "eigenfunction_mismatch": 0.284665000822219, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j0", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.012143225170485841, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j0", "reverse_second_best_gap": 0.10632135496916377, "reverse_second_distance": 0.11846458013964961, "reverse_unambiguous": true, "second_best_gap": 0.02138125688558326, "second_distance": 0.0335244820560691, "unambiguous": true }, { "best_distance": 0.08507697701051128, "edge_kind": "map", "eigenfunction_mismatch": 0.3044359644442689, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.021244377958652486, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j1", "reverse_second_best_gap": 0.0638325990518588, "reverse_second_distance": 0.08507697701051128, "reverse_unambiguous": true, "second_best_gap": 0.19049878526652694, "second_distance": 0.2755757622770382, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.08507697701051128, "max_resolution_difference": 0.013365722331398345, "omega_imag": -0.01478224082370339, "omega_real": 2.4470609753239323e-14, "outgoing_phase_residual": 5.073684528067446e-13, "pencil_residual": 1.0238149689255528e-14, "reference_difference": 0.3809635300692309, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0446870538087647, "transformed_residual": 0.9996645469242068, "unfactored_residual": 0.9837123953410764 }, { "N": 32, "accepted": false, "branch_id": "branch-0254", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 3.4877386252923546e-06, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.918437765794625e-11, "infinity_row_residual": 5.757518658058019e-13, "ingoing_phase_residual": 2.9099236843743714e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.003768385892793713, "matching_checks": [ { "best_distance": 0.028613345691309924, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0074002142868860865, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j1", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.028613345691309924, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j1", "reverse_second_best_gap": 0.04909466358654392, "reverse_second_distance": 0.07770800927785385, "reverse_unambiguous": true, "second_best_gap": 0.07311478358617568, "second_distance": 0.1017281292774856, "unambiguous": true }, { "best_distance": 0.026718229504395605, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006320253510493479, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j1", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.026718229504395605, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j1", "reverse_second_best_gap": 0.05288489596037256, "reverse_second_distance": 0.07960312546476817, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.09295563263776542, "unambiguous": true }, { "best_distance": 0.010574845746095504, "edge_kind": "map", "eigenfunction_mismatch": 0.000683281839193306, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j2", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.010574845746095504, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j1", "reverse_second_best_gap": 0.10632135496916377, "reverse_second_distance": 0.11689620071525927, "reverse_unambiguous": true, "second_best_gap": 0.062222027166999164, "second_distance": 0.07279687291309467, "unambiguous": true }, { "best_distance": 0.021244377958652486, "edge_kind": "map", "eigenfunction_mismatch": 0.003768385892793713, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.021244377958652486, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j1", "reverse_second_best_gap": 0.0638325990518588, "reverse_second_distance": 0.08507697701051128, "reverse_unambiguous": true, "second_best_gap": 0.14801002934922197, "second_distance": 0.16925440730787444, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.021244377958652486, "max_resolution_difference": 0.028613345691309924, "omega_imag": -0.12110359579286716, "omega_real": 2.771834113819504e-12, "outgoing_phase_residual": 6.193656698627592e-14, "pencil_residual": 6.888480644567232e-15, "reference_difference": 0.3750514492979123, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0074002142868860865, "transformed_residual": 3.761802082149214e-05, "unfactored_residual": 0.000497343175016419 }, { "N": 32, "accepted": false, "branch_id": "branch-0255", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 4.865520939837652e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.71866927458535e-12, "infinity_row_residual": 1.2927973928479898e-12, "ingoing_phase_residual": 1.8555353087368331e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 7.840933129832361e-05, "matching_checks": [ { "best_distance": 0.030062267921417085, "edge_kind": "resolution", "eigenfunction_mismatch": 3.383862613504096e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j3", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.030062267921417085, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j2", "reverse_second_best_gap": 0.27062286604322683, "reverse_second_distance": 0.3006851339646439, "reverse_unambiguous": true, "second_best_gap": 0.15657176823803526, "second_distance": 0.18663403615945234, "unambiguous": true }, { "best_distance": 0.031079767507979077, "edge_kind": "resolution", "eigenfunction_mismatch": 1.882934120278623e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j3", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.031079767507979077, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j2", "reverse_second_best_gap": 0.27001480528866295, "reverse_second_distance": 0.30109457279664203, "reverse_unambiguous": true, "second_best_gap": 0.19298593619722276, "second_distance": 0.22406570370520185, "unambiguous": true }, { "best_distance": 0.042796420020187353, "edge_kind": "map", "eigenfunction_mismatch": 7.840933129832361e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j3", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.042796420020187353, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j2", "reverse_second_best_gap": 0.2451545618456863, "reverse_second_distance": 0.28795098186587365, "reverse_unambiguous": true, "second_best_gap": 0.12125981197337227, "second_distance": 0.16405623199355962, "unambiguous": true }, { "best_distance": 0.018386779610446824, "edge_kind": "map", "eigenfunction_mismatch": 7.555146659843359e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j2", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.018386779610446824, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j2", "reverse_second_best_gap": 0.28277912270424893, "reverse_second_distance": 0.30116590231469575, "reverse_unambiguous": true, "second_best_gap": 0.14310621496773973, "second_distance": 0.16149299457818656, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.042796420020187353, "max_resolution_difference": 0.031079767507979077, "omega_imag": -0.45185099767892817, "omega_real": 9.515878060375889e-11, "outgoing_phase_residual": 1.659783421814609e-14, "pencil_residual": 4.514363303772853e-15, "reference_difference": 0.5208826385867878, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.383862613504096e-05, "transformed_residual": 3.1226241871566402e-09, "unfactored_residual": 5.0521521374799556e-09 }, { "N": 32, "accepted": false, "branch_id": "branch-0256", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 1.7218774332273211e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3996417724119693e-13, "infinity_row_residual": 1.3761221963791145e-12, "ingoing_phase_residual": 5.132136380916958e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.2464663805020777e-06, "matching_checks": [ { "best_distance": 0.002360825233230675, "edge_kind": "resolution", "eigenfunction_mismatch": 3.4562860018461095e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j4", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002360825233230675, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j3", "reverse_second_best_gap": 0.23942484572091285, "reverse_second_distance": 0.24178567095414352, "reverse_unambiguous": true, "second_best_gap": 0.24028713772910074, "second_distance": 0.2426479629623314, "unambiguous": true }, { "best_distance": 0.001740223543808448, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8428910819601185e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j4", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.001740223543808448, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j3", "reverse_second_best_gap": 0.2426957799550407, "reverse_second_distance": 0.24443600349884917, "reverse_unambiguous": true, "second_best_gap": 0.2413451972417288, "second_distance": 0.24308542078553724, "unambiguous": true }, { "best_distance": 0.002473380985541522, "edge_kind": "map", "eigenfunction_mismatch": 3.75935955587714e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j6", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002473380985541522, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j3", "reverse_second_best_gap": 0.24267215986670265, "reverse_second_distance": 0.2451455408522442, "reverse_unambiguous": true, "second_best_gap": 0.24081849025281452, "second_distance": 0.24329187123835605, "unambiguous": true }, { "best_distance": 0.007225470392971431, "edge_kind": "map", "eigenfunction_mismatch": 3.2464663805020777e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j3", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007225470392971431, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j3", "reverse_second_best_gap": 0.2416396814796124, "reverse_second_distance": 0.24886515187258382, "reverse_unambiguous": true, "second_best_gap": 0.23619647370237534, "second_distance": 0.24342194409534676, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.007225470392971431, "max_resolution_difference": 0.002360825233230675, "omega_imag": -0.9443426585339518, "omega_real": 0.20748944346746853, "outgoing_phase_residual": 7.622633144142852e-15, "pencil_residual": 5.136557117858122e-15, "reference_difference": 0.8713736673396848, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.4562860018461095e-07, "transformed_residual": 1.253879296300434e-13, "unfactored_residual": 1.0203641000826878e-13 }, { "N": 32, "accepted": false, "branch_id": "branch-0257", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 8.824767462339959e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.606937692466883e-14, "infinity_row_residual": 1.60807984794215e-12, "ingoing_phase_residual": 7.183533501400186e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.703465601909926e-07, "matching_checks": [ { "best_distance": 0.0002957306896144978, "edge_kind": "resolution", "eigenfunction_mismatch": 1.9074361312654275e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j5", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0002957306896144978, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j4", "reverse_second_best_gap": 0.23248867977234214, "reverse_second_distance": 0.23278441046195664, "reverse_unambiguous": true, "second_best_gap": 0.2322052491278397, "second_distance": 0.2325009798174542, "unambiguous": true }, { "best_distance": 0.00014653932868615612, "edge_kind": "resolution", "eigenfunction_mismatch": 4.692986554921674e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j5", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00014653932868615612, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j4", "reverse_second_best_gap": 0.23220136845838876, "reverse_second_distance": 0.23234790778707493, "reverse_unambiguous": true, "second_best_gap": 0.2323387932383036, "second_distance": 0.23248533256698975, "unambiguous": true }, { "best_distance": 0.00034882274548953305, "edge_kind": "map", "eigenfunction_mismatch": 2.661474818310694e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j7", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00034882274548953305, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j4", "reverse_second_best_gap": 0.23179203201314402, "reverse_second_distance": 0.23214085475863355, "reverse_unambiguous": true, "second_best_gap": 0.2321373511963725, "second_distance": 0.23248617394186202, "unambiguous": true }, { "best_distance": 0.0008869527356518414, "edge_kind": "map", "eigenfunction_mismatch": 1.703465601909926e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j4", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0008869527356518414, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j4", "reverse_second_best_gap": 0.2311505021845377, "reverse_second_distance": 0.23203745492018954, "reverse_unambiguous": true, "second_best_gap": 0.23159026940452285, "second_distance": 0.2324772221401747, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0008869527356518414, "max_resolution_difference": 0.0002957306896144978, "omega_imag": -0.7054110680419048, "omega_real": 0.2514571991485474, "outgoing_phase_residual": 1.0007415106216803e-14, "pencil_residual": 5.097797194898886e-15, "reference_difference": 0.628446851123641, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.9074361312654275e-08, "transformed_residual": 1.4279645664209374e-12, "unfactored_residual": 1.330631067465068e-12 }, { "N": 32, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 2.4221404511462145e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.5617476026603566e-13, "infinity_row_residual": 1.5005435985327939e-12, "ingoing_phase_residual": 9.923001679357515e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.248315198575938e-10, "matching_checks": [ { "best_distance": 1.2407930586614588e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0843793357983031e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.0:j6", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.2407930586614588e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j5", "reverse_second_best_gap": 0.20937275154170523, "reverse_second_distance": 0.20938515947229186, "reverse_unambiguous": true, "second_best_gap": 0.2093849727146434, "second_distance": 0.20939738064523003, "unambiguous": true }, { "best_distance": 4.456463239374899e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.6849633627534786e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j6", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.456463239374899e-06, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j5", "reverse_second_best_gap": 0.20939637297153177, "reverse_second_distance": 0.20940082943477115, "reverse_unambiguous": true, "second_best_gap": 0.20939297307942628, "second_distance": 0.20939742954266566, "unambiguous": true }, { "best_distance": 6.101398923981987e-06, "edge_kind": "map", "eigenfunction_mismatch": 5.034039851636862e-11, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j8", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.101398923981987e-06, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j5", "reverse_second_best_gap": 0.20939389942029743, "reverse_second_distance": 0.20940000081922142, "reverse_unambiguous": true, "second_best_gap": 0.2093913246208783, "second_distance": 0.2093974260198023, "unambiguous": true }, { "best_distance": 2.1518068828088106e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.248315198575938e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j5", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.1518068828088106e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j5", "reverse_second_best_gap": 0.20938732234152385, "reverse_second_distance": 0.20940884041035193, "reverse_unambiguous": true, "second_best_gap": 0.20937596398319155, "second_distance": 0.20939748205201963, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.1518068828088106e-05, "max_resolution_difference": 1.2407930586614588e-05, "omega_imag": -0.47827520422144715, "omega_real": 0.3010586329750658, "outgoing_phase_residual": 1.3321866733282935e-14, "pencil_residual": 4.098868219781029e-15, "reference_difference": 0.3960267420482965, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.0843793357983031e-10, "transformed_residual": 8.33435437314981e-12, "unfactored_residual": 9.606625225578964e-12 }, { "N": 32, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 2.7245772263869736e-12, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.250499860978919e-13, "infinity_row_residual": 2.0235852064892714e-12, "ingoing_phase_residual": 1.0806778797304894e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.248157795127554e-14, "matching_checks": [ { "best_distance": 6.30637481838312e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 3.907985046680551e-14, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j7", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.30637481838312e-08, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j6", "reverse_second_best_gap": 0.18690725049501625, "reverse_second_distance": 0.18690731355876444, "reverse_unambiguous": true, "second_best_gap": 0.18690720144764106, "second_distance": 0.18690726451138925, "unambiguous": true }, { "best_distance": 1.3102412378002036e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7763568394002505e-15, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j7", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.3102412378002036e-08, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j6", "reverse_second_best_gap": 0.18690725533650246, "reverse_second_distance": 0.18690726843891484, "reverse_unambiguous": true, "second_best_gap": 0.18690725137696926, "second_distance": 0.18690726447938164, "unambiguous": true }, { "best_distance": 1.2976835382362797e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.5543122344752192e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j9", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2976835382362797e-08, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j6", "reverse_second_best_gap": 0.18690725885951412, "reverse_second_distance": 0.1869072718363495, "reverse_unambiguous": true, "second_best_gap": 0.18690725150297122, "second_distance": 0.1869072644798066, "unambiguous": true }, { "best_distance": 9.725834553750034e-08, "edge_kind": "map", "eigenfunction_mismatch": 9.248157795127554e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j6", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 9.725834553750034e-08, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j6", "reverse_second_best_gap": 0.18690711158723436, "reverse_second_distance": 0.1869072088455799, "reverse_unambiguous": true, "second_best_gap": 0.18690716721379855, "second_distance": 0.1869072644721441, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.725834553750034e-08, "max_resolution_difference": 6.30637481838312e-08, "omega_imag": -0.2739148671321843, "omega_real": 0.3467109865426086, "outgoing_phase_residual": 1.692352836738851e-14, "pencil_residual": 4.439887143402323e-15, "reference_difference": 0.18690726447973582, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.907985046680551e-14, "transformed_residual": 1.5173755009974067e-11, "unfactored_residual": 2.102249970382806e-11 }, { "N": 32, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 9.488330210790769e-13, "failure_reasons": [], "horizon_row_residual": 7.21553099934903e-13, "infinity_row_residual": 5.400078546633973e-12, "ingoing_phase_residual": 9.235201446513093e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.821544229890139e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.0:j8", "peer_configuration": [ "schwarzschild", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.821544229890139e-11, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j7", "reverse_second_best_gap": 0.18690726447317382, "reverse_second_distance": 0.18690726451138925, "reverse_unambiguous": true, "second_best_gap": 0.186907313520549, "second_distance": 0.18690731355876444, "unambiguous": true }, { "best_distance": 4.07066177752095e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j8", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.07066177752095e-12, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j7", "reverse_second_best_gap": 0.18690726447531097, "reverse_second_distance": 0.18690726447938164, "reverse_unambiguous": true, "second_best_gap": 0.18690726843484418, "second_distance": 0.18690726843891484, "unambiguous": true }, { "best_distance": 3.80956050162114e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j10", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.80956050162114e-12, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j7", "reverse_second_best_gap": 0.18690726447599704, "reverse_second_distance": 0.1869072644798066, "reverse_unambiguous": true, "second_best_gap": 0.18690727183253994, "second_distance": 0.1869072718363495, "unambiguous": true }, { "best_distance": 6.733963165692056e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j7", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.733963165692056e-11, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.0:j7", "reverse_second_best_gap": 0.18690726440480446, "reverse_second_distance": 0.1869072644721441, "reverse_unambiguous": true, "second_best_gap": 0.18690720877824027, "second_distance": 0.1869072088455799, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.733963165692056e-11, "max_resolution_difference": 3.821544229890139e-11, "omega_imag": -0.08896231569190147, "omega_real": 0.3736716844205613, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 6.042230629317202e-15, "reference_difference": 3.891474503800075e-12, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 7.549389049599601e-12, "unfactored_residual": 9.020122380562512e-12 }, { "N": 32, "accepted": false, "branch_id": "branch-0258", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 3.3251635828327994e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.0032819110644656e-11, "infinity_row_residual": 6.712697224618162e-13, "ingoing_phase_residual": 2.4981356691600176e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.007633140864815924, "matching_checks": [ { "best_distance": 0.033526528674381495, "edge_kind": "resolution", "eigenfunction_mismatch": 0.008339269937734373, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j1", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.033526528674381495, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j0", "reverse_second_best_gap": 0.12344572791776395, "reverse_second_distance": 0.15697225659214545, "reverse_unambiguous": true, "second_best_gap": 0.059379292808438, "second_distance": 0.09290582148281949, "unambiguous": true }, { "best_distance": 0.022014198312319683, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006538995181712637, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j1", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.022014198312319683, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j0", "reverse_second_best_gap": 0.19049878526652694, "reverse_second_distance": 0.21251298357884663, "reverse_unambiguous": true, "second_best_gap": 0.061447913453359426, "second_distance": 0.08346211176567911, "unambiguous": true }, { "best_distance": 0.03181922370474799, "edge_kind": "map", "eigenfunction_mismatch": 0.007633140864815924, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j2", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03181922370474799, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j0", "reverse_second_best_gap": 0.12686033785703096, "reverse_second_distance": 0.15867956156177895, "reverse_unambiguous": true, "second_best_gap": 0.019733271249694186, "second_distance": 0.051552494954442175, "unambiguous": true }, { "best_distance": 0.021244377958652486, "edge_kind": "map", "eigenfunction_mismatch": 0.003768385892793713, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j1", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.021244377958652486, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j0", "reverse_second_best_gap": 0.14801002934922197, "reverse_second_distance": 0.16925440730787444, "reverse_unambiguous": true, "second_best_gap": 0.0638325990518588, "second_distance": 0.08507697701051128, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.03181922370474799, "max_resolution_difference": 0.033526528674381495, "omega_imag": -0.09985921783421467, "omega_real": 3.794886127740842e-13, "outgoing_phase_residual": 7.509270982808403e-14, "pencil_residual": 8.643788119574171e-15, "reference_difference": 0.37383053675682626, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.008339269937734373, "transformed_residual": 0.00039812131185416687, "unfactored_residual": 0.0075141331633440025 }, { "N": 32, "accepted": false, "branch_id": "branch-0259", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 8.752248192737686e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.0281396042676335e-11, "infinity_row_residual": 2.3057555825344565e-12, "ingoing_phase_residual": 9.290397043337784e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.003738504447375779, "matching_checks": [ { "best_distance": 0.12379329478909051, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0028781931376103964, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j2", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.056086479399542866, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j2", "reverse_second_best_gap": 0.06770681538954765, "reverse_second_distance": 0.12379329478909051, "reverse_unambiguous": true, "second_best_gap": 0.033178961803054935, "second_distance": 0.15697225659214545, "unambiguous": true }, { "best_distance": 0.07105591614430573, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004108800890049613, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.07105591614430573, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j1", "reverse_second_best_gap": 0.04838695297791548, "reverse_second_distance": 0.11944286912222121, "reverse_unambiguous": true, "second_best_gap": 0.1414570674345409, "second_distance": 0.21251298357884663, "unambiguous": true }, { "best_distance": 0.0025632374153730657, "edge_kind": "map", "eigenfunction_mismatch": 3.132359474133928e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j4", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0025632374153730657, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j1", "reverse_second_best_gap": 0.17987977418863338, "reverse_second_distance": 0.18244301160400644, "reverse_unambiguous": true, "second_best_gap": 0.11613333714262614, "second_distance": 0.1186965745579992, "unambiguous": true }, { "best_distance": 0.16149299457818656, "edge_kind": "map", "eigenfunction_mismatch": 0.003738504447375779, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j2", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.018386779610446824, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j2", "reverse_second_best_gap": 0.14310621496773973, "reverse_second_distance": 0.16149299457818656, "reverse_unambiguous": true, "second_best_gap": 0.007761412729687889, "second_distance": 0.16925440730787444, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16149299457818656, "max_resolution_difference": 0.12379329478909051, "omega_imag": -0.2903580031007416, "omega_real": 8.03381354385867e-13, "outgoing_phase_residual": 2.581268532253489e-14, "pencil_residual": 9.337519447602754e-15, "reference_difference": 0.4244888109753779, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004108800890049613, "transformed_residual": 8.177476113570938e-07, "unfactored_residual": 2.681632802010946e-06 }, { "N": 32, "accepted": false, "branch_id": "branch-0260", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 2.0823924002317605e-09, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.2366967379303755e-11, "infinity_row_residual": 2.777733882729234e-12, "ingoing_phase_residual": 1.7003444990892902e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.00013414458164506815, "matching_checks": [ { "best_distance": 0.056086479399542866, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010661008865642252, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j2", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.056086479399542866, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j2", "reverse_second_best_gap": 0.06770681538954765, "reverse_second_distance": 0.12379329478909051, "reverse_unambiguous": true, "second_best_gap": 0.24512640243146194, "second_distance": 0.3012128818310048, "unambiguous": true }, { "best_distance": 0.2509356903329391, "edge_kind": "resolution", "eigenfunction_mismatch": 0.01625506318321368, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.07105591614430573, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j1", "reverse_second_best_gap": 0.04838695297791548, "reverse_second_distance": 0.11944286912222121, "reverse_unambiguous": true, "second_best_gap": 0.05022147931196297, "second_distance": 0.3011571696449021, "unambiguous": true }, { "best_distance": 0.06118319963063418, "edge_kind": "map", "eigenfunction_mismatch": 0.00013414458164506815, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j3", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06118319963063418, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j2", "reverse_second_best_gap": 0.057513374927365024, "reverse_second_distance": 0.1186965745579992, "reverse_unambiguous": true, "second_best_gap": 0.12125981197337227, "second_distance": 0.18244301160400644, "unambiguous": true }, { "best_distance": 0.018386779610446824, "edge_kind": "map", "eigenfunction_mismatch": 7.555146659843359e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j2", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.018386779610446824, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j2", "reverse_second_best_gap": 0.14310621496773973, "reverse_second_distance": 0.16149299457818656, "reverse_unambiguous": true, "second_best_gap": 0.28277912270424893, "second_distance": 0.30116590231469575, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.06118319963063418, "max_resolution_difference": 0.2509356903329391, "omega_imag": -0.470237777289375, "omega_real": 5.777817268669264e-12, "outgoing_phase_residual": 1.5931700403370996e-14, "pencil_residual": 8.468474131415776e-15, "reference_difference": 0.5338553224892739, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.01625506318321368, "transformed_residual": 1.537485076872715e-08, "unfactored_residual": 2.5284967287416732e-08 }, { "N": 32, "accepted": false, "branch_id": "branch-0261", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 1.499574943805502e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4701219643194578e-12, "infinity_row_residual": 1.974851993067972e-12, "ingoing_phase_residual": 5.0813502639302174e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 3.2464663805020777e-06, "matching_checks": [ { "best_distance": 0.0028232406567485343, "edge_kind": "resolution", "eigenfunction_mismatch": 5.194890402293595e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j3", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0028232406567485343, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j3", "reverse_second_best_gap": 0.24801626224274634, "reverse_second_distance": 0.25083950289949486, "reverse_unambiguous": true, "second_best_gap": 0.24577362651320592, "second_distance": 0.24859686716995444, "unambiguous": true }, { "best_distance": 0.0022952690004970186, "edge_kind": "resolution", "eigenfunction_mismatch": 3.2486356305039266e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j3", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0022952690004970186, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j3", "reverse_second_best_gap": 0.24649400853718245, "reverse_second_distance": 0.24878927753767946, "reverse_unambiguous": true, "second_best_gap": 0.2472012049949915, "second_distance": 0.24949647399548852, "unambiguous": true }, { "best_distance": 0.0047906535534844065, "edge_kind": "map", "eigenfunction_mismatch": 1.431231309134695e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j6", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0047906535534844065, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j3", "reverse_second_best_gap": 0.2408369140415138, "reverse_second_distance": 0.2456275675949982, "reverse_unambiguous": true, "second_best_gap": 0.24442321764255232, "second_distance": 0.24921387119603672, "unambiguous": true }, { "best_distance": 0.007225470392971431, "edge_kind": "map", "eigenfunction_mismatch": 3.2464663805020777e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j3", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.007225470392971431, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j3", "reverse_second_best_gap": 0.23619647370237534, "reverse_second_distance": 0.24342194409534676, "reverse_unambiguous": true, "second_best_gap": 0.2416396814796124, "second_distance": 0.24886515187258382, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.007225470392971431, "max_resolution_difference": 0.0028232406567485343, "omega_imag": -0.9508902913837127, "omega_real": 0.2105449183019973, "outgoing_phase_residual": 7.622633144142852e-15, "pencil_residual": 6.7734536293191765e-15, "reference_difference": 0.8772286914532463, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.194890402293595e-07, "transformed_residual": 1.808718933603893e-12, "unfactored_residual": 1.5475220489380546e-12 }, { "N": 32, "accepted": false, "branch_id": "branch-0262", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 8.15420180153175e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.610588133212188e-13, "infinity_row_residual": 2.6355218534878433e-12, "ingoing_phase_residual": 7.195229022703457e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.703465601909926e-07, "matching_checks": [ { "best_distance": 0.0010475206886421526, "edge_kind": "resolution", "eigenfunction_mismatch": 2.3761547929268545e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j4", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0010475206886421526, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j4", "reverse_second_best_gap": 0.23177913996839733, "reverse_second_distance": 0.23282666065703947, "reverse_unambiguous": true, "second_best_gap": 0.23103742321217646, "second_distance": 0.2320849439008186, "unambiguous": true }, { "best_distance": 0.0005948921574842467, "edge_kind": "resolution", "eigenfunction_mismatch": 7.649802447051712e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j4", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005948921574842467, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j4", "reverse_second_best_gap": 0.2312599867478263, "reverse_second_distance": 0.23185487890531054, "reverse_unambiguous": true, "second_best_gap": 0.2314304985808554, "second_distance": 0.23202539073833964, "unambiguous": true }, { "best_distance": 0.0007443594096965919, "edge_kind": "map", "eigenfunction_mismatch": 1.199961049414e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j7", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0007443594096965919, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j4", "reverse_second_best_gap": 0.23138500393940856, "reverse_second_distance": 0.23212936334910514, "reverse_unambiguous": true, "second_best_gap": 0.23129053565269692, "second_distance": 0.2320348950623935, "unambiguous": true }, { "best_distance": 0.0008869527356518414, "edge_kind": "map", "eigenfunction_mismatch": 1.703465601909926e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j4", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0008869527356518414, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j4", "reverse_second_best_gap": 0.23159026940452285, "reverse_second_distance": 0.2324772221401747, "reverse_unambiguous": true, "second_best_gap": 0.2311505021845377, "second_distance": 0.23203745492018954, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0008869527356518414, "max_resolution_difference": 0.0010475206886421526, "omega_imag": -0.7048062216893951, "omega_real": 0.25080847266910017, "outgoing_phase_residual": 9.921599231853723e-15, "pencil_residual": 7.584511529949817e-15, "reference_difference": 0.6279801631892269, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.3761547929268545e-07, "transformed_residual": 2.2036011486722937e-11, "unfactored_residual": 2.2053237431922488e-11 }, { "N": 32, "accepted": false, "branch_id": "branch-0263", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 2.3569943533735413e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.434736666227282e-13, "infinity_row_residual": 3.076491367680278e-12, "ingoing_phase_residual": 9.922441129757922e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 8.69042837692291e-10, "matching_checks": [ { "best_distance": 6.235584252509707e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 5.259559565651273e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N28:c1.4:j5", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.235584252509707e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j5", "reverse_second_best_gap": 0.20928758638154035, "reverse_second_distance": 0.20934994222406544, "reverse_unambiguous": true, "second_best_gap": 0.20934602759405396, "second_distance": 0.20940838343657905, "unambiguous": true }, { "best_distance": 2.479210247862825e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 8.304376075685127e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j5", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.479210247862825e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j5", "reverse_second_best_gap": 0.20938476409621518, "reverse_second_distance": 0.2094095561986938, "reverse_unambiguous": true, "second_best_gap": 0.20938405977128674, "second_distance": 0.20940885187376537, "unambiguous": true }, { "best_distance": 2.5369821665509443e-05, "edge_kind": "map", "eigenfunction_mismatch": 8.69042837692291e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j8", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.5369821665509443e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j5", "reverse_second_best_gap": 0.2093746804902918, "reverse_second_distance": 0.2094000503119573, "reverse_unambiguous": true, "second_best_gap": 0.20938346405044111, "second_distance": 0.20940883387210663, "unambiguous": true }, { "best_distance": 2.1518068828088106e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.248317419021987e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j5", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.1518068828088106e-05, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j5", "reverse_second_best_gap": 0.20937596398319155, "reverse_second_distance": 0.20939748205201963, "reverse_unambiguous": true, "second_best_gap": 0.20938732234152385, "second_distance": 0.20940884041035193, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.5369821665509443e-05, "max_resolution_difference": 6.235584252509707e-05, "omega_imag": -0.47829031477142575, "omega_real": 0.3010739528499163, "outgoing_phase_residual": 1.3321866733282935e-14, "pencil_residual": 7.519440513415366e-15, "reference_difference": 0.3960387878711036, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.259559565651273e-09, "transformed_residual": 1.3968261541341794e-10, "unfactored_residual": 1.718704373290981e-10 }, { "N": 32, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 3.518103887510535e-11, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 9.668806788416776e-13, "infinity_row_residual": 4.623412255345869e-12, "ingoing_phase_residual": 1.0806781138855408e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1868284133242923e-13, "matching_checks": [ { "best_distance": 5.09645514730736e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.5230928457631308e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j6", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.09645514730736e-07, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j6", "reverse_second_best_gap": 0.1869072000003526, "reverse_second_distance": 0.18690770964586734, "reverse_unambiguous": true, "second_best_gap": 0.18690669966594778, "second_distance": 0.1869072093114625, "unambiguous": true }, { "best_distance": 1.2286892850758507e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.474376176702208e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j6", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2286892850758507e-07, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j6", "reverse_second_best_gap": 0.18690713265140083, "reverse_second_distance": 0.18690725552032933, "reverse_unambiguous": true, "second_best_gap": 0.18690708597296235, "second_distance": 0.18690720884189085, "unambiguous": true }, { "best_distance": 1.1023497776076656e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.1868284133242923e-13, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j9", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1023497776076656e-07, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j6", "reverse_second_best_gap": 0.18690716159635137, "reverse_second_distance": 0.18690727183132913, "reverse_unambiguous": true, "second_best_gap": 0.18690709861324423, "second_distance": 0.18690720884822198, "unambiguous": true }, { "best_distance": 9.725834553750034e-08, "edge_kind": "map", "eigenfunction_mismatch": 9.248157795127554e-14, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j6", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.725834553750034e-08, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j6", "reverse_second_best_gap": 0.18690716721379855, "reverse_second_distance": 0.1869072644721441, "reverse_unambiguous": true, "second_best_gap": 0.18690711158723436, "second_distance": 0.1869072088455799, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1023497776076656e-07, "max_resolution_difference": 5.09645514730736e-07, "omega_imag": -0.2739148005748982, "omega_real": 0.3467109156249561, "outgoing_phase_residual": 1.6914239581928583e-14, "pencil_residual": 8.673231209130809e-15, "reference_difference": 0.1869072088481512, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.5230928457631308e-12, "transformed_residual": 3.020567147834729e-10, "unfactored_residual": 4.474637215662169e-10 }, { "N": 32, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N32:c1.4:j7", "case": "schwarzschild", "coefficient_tail": 1.6625314889958313e-11, "failure_reasons": [], "horizon_row_residual": 1.4081699641685158e-12, "infinity_row_residual": 6.077824367108641e-12, "ingoing_phase_residual": 9.23520144596431e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 5.842395466311919e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N28:c1.4:j7", "peer_configuration": [ "schwarzschild", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.842395466311919e-10, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j7", "reverse_second_best_gap": 0.18690720872722297, "reverse_second_distance": 0.1869072093114625, "reverse_unambiguous": true, "second_best_gap": 0.1869077090616278, "second_distance": 0.18690770964586734, "unambiguous": true }, { "best_distance": 7.822374900917169e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j7", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.822374900917169e-11, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j7", "reverse_second_best_gap": 0.1869072087636671, "reverse_second_distance": 0.18690720884189085, "reverse_unambiguous": true, "second_best_gap": 0.18690725544210557, "second_distance": 0.18690725552032933, "unambiguous": true }, { "best_distance": 7.031542853593791e-11, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j10", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.031542853593791e-11, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j7", "reverse_second_best_gap": 0.18690720877790656, "reverse_second_distance": 0.18690720884822198, "reverse_unambiguous": true, "second_best_gap": 0.1869072717610137, "second_distance": 0.18690727183132913, "unambiguous": true }, { "best_distance": 6.733963165692056e-11, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j7", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.733963165692056e-11, "reverse_nearest_candidate_id": "schwarzschild:N32:c1.4:j7", "reverse_second_best_gap": 0.18690720877824027, "reverse_second_distance": 0.1869072088455799, "reverse_unambiguous": true, "second_best_gap": 0.18690726440480446, "second_distance": 0.1869072644721441, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.031542853593791e-11, "max_resolution_difference": 5.842395466311919e-10, "omega_imag": -0.08896231570655584, "omega_real": 0.37367168448628707, "outgoing_phase_residual": 1.956723297457084e-14, "pencil_residual": 5.8482728457575086e-15, "reference_difference": 7.048320756368716e-11, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.9079015797849203e-10, "unfactored_residual": 2.428583376642332e-10 }, { "N": 36, "accepted": false, "branch_id": "branch-0264", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.2104607272364953, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.006321935162795e-10, "infinity_row_residual": 1.0695575176035481e-14, "ingoing_phase_residual": 1.5319498427321734e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.4845680321315977, "matching_checks": [ { "best_distance": 0.000554697140719589, "edge_kind": "resolution", "eigenfunction_mismatch": 0.05914701786936383, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j0", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.000554697140719589, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j0", "reverse_second_best_gap": 0.06187157657007818, "reverse_second_distance": 0.062426273710797765, "reverse_unambiguous": true, "second_best_gap": 0.04566770722655494, "second_distance": 0.04622240436727453, "unambiguous": true }, { "best_distance": 0.004491818453091184, "edge_kind": "resolution", "eigenfunction_mismatch": 0.16183717306163903, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j0", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004491818453091184, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j0", "reverse_second_best_gap": 0.053997333945334985, "reverse_second_distance": 0.05848915239842617, "reverse_unambiguous": true, "second_best_gap": 0.024103855967884266, "second_distance": 0.02859567442097545, "unambiguous": true }, { "best_distance": 0.026063644642603773, "edge_kind": "map", "eigenfunction_mismatch": 0.4845680321315977, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j0", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.026063644642603773, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j0", "reverse_second_best_gap": 0.010853681566309809, "reverse_second_distance": 0.03691732620891358, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.09230104777597359, "unambiguous": true }, { "best_distance": 0.014312787556037607, "edge_kind": "map", "eigenfunction_mismatch": 0.364183015645541, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j0", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.014312787556037607, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j0", "reverse_second_best_gap": 0.03435539573944214, "reverse_second_distance": 0.04866818329547975, "reverse_unambiguous": true, "second_best_gap": 0.06144791345335942, "second_distance": 0.07576070100939702, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.026063644642603773, "max_resolution_difference": 0.004491818453091184, "omega_imag": -0.002084318512497961, "omega_real": 1.8918485009597753e-17, "outgoing_phase_residual": 3.598342544069988e-12, "pencil_residual": 1.9808085755371757e-14, "reference_difference": 0.38363825947004526, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.16183717306163903, "transformed_residual": 0.9999464242343267, "unfactored_residual": 0.9825324308994071 }, { "N": 36, "accepted": false, "branch_id": "branch-0265", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 5.561918943446568e-06, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.2679163821716807e-09, "infinity_row_residual": 9.135664078318246e-14, "ingoing_phase_residual": 2.0280741129530266e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.014698012097884572, "matching_checks": [ { "best_distance": 0.016758566484242822, "edge_kind": "resolution", "eigenfunction_mismatch": 0.009690705534525668, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j1", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.016758566484242822, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j1", "reverse_second_best_gap": 0.02946383788303171, "reverse_second_distance": 0.04622240436727453, "reverse_unambiguous": true, "second_best_gap": 0.04566770722655494, "second_distance": 0.062426273710797765, "unambiguous": true }, { "best_distance": 0.01750958484878673, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006118487361966407, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j2", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01750958484878673, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j1", "reverse_second_best_gap": 0.053412452915984066, "reverse_second_distance": 0.0709220377647708, "reverse_unambiguous": true, "second_best_gap": 0.016875711581755173, "second_distance": 0.0343852964305419, "unambiguous": true }, { "best_distance": 0.029320076924456234, "edge_kind": "map", "eigenfunction_mismatch": 0.014698012097884572, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j1", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.029320076924456234, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j1", "reverse_second_best_gap": 0.029791468764645057, "reverse_second_distance": 0.05911154568910129, "reverse_unambiguous": true, "second_best_gap": 0.007597249284457347, "second_distance": 0.03691732620891358, "unambiguous": true }, { "best_distance": 0.01277973015787967, "edge_kind": "map", "eigenfunction_mismatch": 0.0034812552936256402, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j1", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.01277973015787967, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j1", "reverse_second_best_gap": 0.06287216229779818, "reverse_second_distance": 0.07565189245567785, "reverse_unambiguous": true, "second_best_gap": 0.03588845313760008, "second_distance": 0.04866818329547975, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.029320076924456234, "max_resolution_difference": 0.01750958484878673, "omega_imag": -0.06506528936401532, "omega_real": 2.0547044533809599e-13, "outgoing_phase_residual": 1.152827833195147e-13, "pencil_residual": 2.5183892267013924e-15, "reference_difference": 0.3744350352235178, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.009690705534525668, "transformed_residual": 0.00011351077617685158, "unfactored_residual": 0.00275505925123597 }, { "N": 36, "accepted": false, "branch_id": "branch-0266", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 4.941359305255684e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.290185680660889e-11, "infinity_row_residual": 6.587453418789853e-15, "ingoing_phase_residual": 3.8866578119800543e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.022872972474233366, "matching_checks": [ { "best_distance": 0.021818470438610182, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002179328030626815, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j2", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.021818470438610182, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j2", "reverse_second_best_gap": 0.04479468173633716, "reverse_second_distance": 0.06661315217494734, "reverse_unambiguous": true, "second_best_gap": 0.08337171865919016, "second_distance": 0.10519018909780034, "unambiguous": true }, { "best_distance": 0.02174080999453727, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015022110623121865, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j3", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02174080999453727, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j2", "reverse_second_best_gap": 0.08843162261355748, "reverse_second_distance": 0.11017243260809476, "reverse_unambiguous": true, "second_best_gap": 0.049181227770233524, "second_distance": 0.0709220377647708, "unambiguous": true }, { "best_distance": 0.05911154568910129, "edge_kind": "map", "eigenfunction_mismatch": 0.022872972474233366, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j1", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.029320076924456234, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j1", "reverse_second_best_gap": 0.029791468764645057, "reverse_second_distance": 0.05911154568910129, "reverse_unambiguous": true, "second_best_gap": 0.015176836307052188, "second_distance": 0.07428838199615348, "unambiguous": true }, { "best_distance": 0.06580517497886304, "edge_kind": "map", "eigenfunction_mismatch": 0.009876328969094073, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.06580517497886304, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j2", "reverse_second_best_gap": 0.08843162261355753, "reverse_second_distance": 0.15423679759242057, "reverse_unambiguous": true, "second_best_gap": 0.009846717476814815, "second_distance": 0.07565189245567785, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.06580517497886304, "max_resolution_difference": 0.021818470438610182, "omega_imag": -0.15349691197757284, "omega_real": 1.0279456216349482e-11, "outgoing_phase_residual": 4.8877568659122517e-14, "pencil_residual": 7.189595930514285e-16, "reference_difference": 0.3792034306889532, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002179328030626815, "transformed_residual": 6.294910934314629e-07, "unfactored_residual": 4.708365645294445e-06 }, { "N": 36, "accepted": false, "branch_id": "branch-0267", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 2.2330167924700245e-11, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.564810746022392e-12, "infinity_row_residual": 3.132692760589443e-13, "ingoing_phase_residual": 2.163290247492182e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.014279989502696377, "matching_checks": [ { "best_distance": 0.014122163724632576, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1240253635746988e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j3", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.014122163724632576, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j3", "reverse_second_best_gap": 0.24143550195653543, "reverse_second_distance": 0.255557665681168, "reverse_unambiguous": true, "second_best_gap": 0.12125981197336855, "second_distance": 0.13538197569800112, "unambiguous": true }, { "best_distance": 0.09438849958147064, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001089992008310503, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j4", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.09438849958147064, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j3", "reverse_second_best_gap": 0.08090283024291606, "reverse_second_distance": 0.1752913298243867, "reverse_unambiguous": true, "second_best_gap": 0.06423896158080511, "second_distance": 0.15862746116227575, "unambiguous": true }, { "best_distance": 0.05975402380350605, "edge_kind": "map", "eigenfunction_mismatch": 9.641987254416229e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j3", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05975402380350605, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j3", "reverse_second_best_gap": 0.23845393391642813, "reverse_second_distance": 0.2982079577199342, "reverse_unambiguous": true, "second_best_gap": 0.13563742360613712, "second_distance": 0.19539144740964318, "unambiguous": true }, { "best_distance": 0.20387465442693364, "edge_kind": "map", "eigenfunction_mismatch": 0.014279989502696377, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.06580517497886304, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j2", "reverse_second_best_gap": 0.08843162261355753, "reverse_second_distance": 0.15423679759242057, "reverse_unambiguous": true, "second_best_gap": 0.10217738299915596, "second_distance": 0.3060520374260896, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.20387465442693364, "max_resolution_difference": 0.09438849958147064, "omega_imag": -0.42317674138336925, "omega_real": 1.0866170773155782e-08, "outgoing_phase_residual": 1.7708057242771253e-14, "pencil_residual": 8.51202882780821e-16, "reference_difference": 0.5013280382716652, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001089992008310503, "transformed_residual": 1.3601549616925697e-10, "unfactored_residual": 1.9919339908405346e-10 }, { "N": 36, "accepted": false, "branch_id": "branch-0268", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 6.5702949069674e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.0084350747374346e-11, "infinity_row_residual": 1.626577662824931e-13, "ingoing_phase_residual": 7.020935045872918e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.002869410970878561, "matching_checks": [ { "best_distance": 0.033135810162046614, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4700937757859975e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j5", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.033135810162046614, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j4", "reverse_second_best_gap": 0.20801024183457423, "reverse_second_distance": 0.24114605199662084, "reverse_unambiguous": true, "second_best_gap": 0.22961335946866449, "second_distance": 0.2627491696307111, "unambiguous": true }, { "best_distance": 0.19699454241609002, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010634366833639497, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j6", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.06573451249580378, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j5", "reverse_second_best_gap": 0.13126002992028624, "reverse_second_distance": 0.19699454241609002, "reverse_unambiguous": true, "second_best_gap": 0.0023399781847938117, "second_distance": 0.19933452060088383, "unambiguous": true }, { "best_distance": 0.26263553779015153, "edge_kind": "map", "eigenfunction_mismatch": 0.002867994615655789, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j5", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.00019566899274246568, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j6", "reverse_second_best_gap": 0.23214964174108993, "reverse_second_distance": 0.23234531073383238, "reverse_unambiguous": true, "second_best_gap": 0.0012460137830402895, "second_distance": 0.2638815515731918, "unambiguous": true }, { "best_distance": 0.26273737679107556, "edge_kind": "map", "eigenfunction_mismatch": 0.002869410970878561, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j4", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.00031613499321521453, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j6", "reverse_second_best_gap": 0.23154762202949408, "reverse_second_distance": 0.2318637570227093, "reverse_unambiguous": true, "second_best_gap": 0.005491185184765712, "second_distance": 0.2682285619758413, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.26273737679107556, "max_resolution_difference": 0.19699454241609002, "omega_imag": -0.7811387227212258, "omega_real": 1.0574995829777552e-05, "outgoing_phase_residual": 9.547918012644406e-15, "pencil_residual": 4.2732503945250745e-16, "reference_difference": 0.7865944337120424, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0010634366833639497, "transformed_residual": 1.0776077427259176e-13, "unfactored_residual": 8.593549674094937e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0269", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 4.397156143082045e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.794912698267499e-13, "infinity_row_residual": 1.0548632406568049e-13, "ingoing_phase_residual": 5.1511781064210144e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.4047822603809905e-06, "matching_checks": [ { "best_distance": 0.005778605421747979, "edge_kind": "resolution", "eigenfunction_mismatch": 2.014696270924432e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j6", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005778605421747979, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j5", "reverse_second_best_gap": 0.23970447288638502, "reverse_second_distance": 0.245483078308133, "reverse_unambiguous": true, "second_best_gap": 0.23536744657487285, "second_distance": 0.24114605199662084, "unambiguous": true }, { "best_distance": 0.06107043437968414, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00026825653629503066, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j7", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06107043437968414, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j5", "reverse_second_best_gap": 0.22371646970420828, "reverse_second_distance": 0.2847869040838924, "reverse_unambiguous": true, "second_best_gap": 0.004664078116119644, "second_distance": 0.06573451249580378, "unambiguous": true }, { "best_distance": 0.003768564836421871, "edge_kind": "map", "eigenfunction_mismatch": 8.483656314117738e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j4", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.003768564836421871, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j5", "reverse_second_best_gap": 0.241004572893564, "reverse_second_distance": 0.24477313772998588, "reverse_unambiguous": true, "second_best_gap": 0.23816345474553488, "second_distance": 0.24193201958195676, "unambiguous": true }, { "best_distance": 0.008548972107505598, "edge_kind": "map", "eigenfunction_mismatch": 4.4047822603809905e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j3", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008548972107505598, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j5", "reverse_second_best_gap": 0.2400935541064264, "reverse_second_distance": 0.248642526213932, "reverse_unambiguous": true, "second_best_gap": 0.2338674443805184, "second_distance": 0.242416416488024, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.008548972107505598, "max_resolution_difference": 0.06107043437968414, "omega_imag": -0.9425393852553944, "omega_real": 0.20420468232586764, "outgoing_phase_residual": 7.833614787058502e-15, "pencil_residual": 3.694885470982059e-16, "reference_difference": 0.8702372541369232, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00026825653629503066, "transformed_residual": 3.502452029490058e-14, "unfactored_residual": 1.903244652604723e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0270", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 5.267311499973184e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.094896649679874e-13, "infinity_row_residual": 3.1219584521064293e-13, "ingoing_phase_residual": 7.187604900321002e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.188353254162223e-08, "matching_checks": [ { "best_distance": 3.6302196740288834e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.8844138189043633e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N32:c0.7:j7", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.6302196740288834e-05, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j6", "reverse_second_best_gap": 0.23210195581092416, "reverse_second_distance": 0.23213825800766444, "reverse_unambiguous": true, "second_best_gap": 0.23211436531988158, "second_distance": 0.23215066751662186, "unambiguous": true }, { "best_distance": 0.00033754564578709813, "edge_kind": "resolution", "eigenfunction_mismatch": 2.483206373860014e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j8", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00033754564578709813, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j6", "reverse_second_best_gap": 0.23196484515079738, "reverse_second_distance": 0.23230239079658446, "reverse_unambiguous": true, "second_best_gap": 0.2050981377480606, "second_distance": 0.20543568339384768, "unambiguous": true }, { "best_distance": 0.00019566899274246568, "edge_kind": "map", "eigenfunction_mismatch": 8.371389803585316e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j5", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00019566899274246568, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j6", "reverse_second_best_gap": 0.23214964174108993, "reverse_second_distance": 0.23234531073383238, "reverse_unambiguous": true, "second_best_gap": 0.23195415783285933, "second_distance": 0.23214982682560178, "unambiguous": true }, { "best_distance": 0.00031613499321521453, "edge_kind": "map", "eigenfunction_mismatch": 2.188353254162223e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j4", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00031613499321521453, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j6", "reverse_second_best_gap": 0.23154762202949408, "reverse_second_distance": 0.2318637570227093, "reverse_unambiguous": true, "second_best_gap": 0.23182503132444524, "second_distance": 0.23214116631766046, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00031613499321521453, "max_resolution_difference": 0.00033754564578709813, "omega_imag": -0.7050704781070428, "omega_real": 0.25147015721022076, "outgoing_phase_residual": 9.921599231853723e-15, "pencil_residual": 6.922077209738444e-16, "reference_difference": 0.628110245936285, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.483206373860014e-08, "transformed_residual": 3.1833852100429367e-14, "unfactored_residual": 2.507462091515913e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 7.072221686392487e-15, "failure_reasons": [ "matching:map:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.610794970898065e-13, "infinity_row_residual": 5.305332798493418e-13, "ingoing_phase_residual": 9.923086477104613e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.2520529057979957e-10, "matching_checks": [ { "best_distance": 7.645877797277724e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.90811860440499e-13, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j8", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.645877797277724e-07, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j7", "reverse_second_best_gap": 0.20939923079055395, "reverse_second_distance": 0.20939999537833368, "reverse_unambiguous": true, "second_best_gap": 0.20939928059418347, "second_distance": 0.2094000451819632, "unambiguous": true }, { "best_distance": 5.460078741112927e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 4.028999356364693e-13, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j9", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.460078741112927e-07, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j7", "reverse_second_best_gap": 0.20939930822379949, "reverse_second_distance": 0.2093998542316736, "reverse_unambiguous": true, "second_best_gap": 0.20939950069107313, "second_distance": 0.20940004669894724, "unambiguous": true }, { "best_distance": 2.0409894762778577e-06, "edge_kind": "map", "eigenfunction_mismatch": 5.631495270108644e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j6", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.0409894762778577e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j7", "reverse_second_best_gap": 0.20939878300426065, "reverse_second_distance": 0.20940082399373694, "reverse_unambiguous": true, "second_best_gap": 0.2093980077153854, "second_distance": 0.20940004870486167, "unambiguous": true }, { "best_distance": 9.618403240145952e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.2520529057979957e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j5", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 9.618403240145952e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j7", "reverse_second_best_gap": 0.20939988286228625, "reverse_second_distance": 0.2094095012655264, "reverse_unambiguous": true, "second_best_gap": 0.20939044478278943, "second_distance": 0.20940006318602958, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 9.618403240145952e-06, "max_resolution_difference": 7.645877797277724e-07, "omega_imag": -0.47827672001490656, "omega_real": 0.30105340506646616, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 1.0433352957954183e-15, "reference_difference": 0.3960291907317805, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.90811860440499e-13, "transformed_residual": 9.430495755959994e-14, "unfactored_residual": 5.059863081919608e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j8", "case": "schwarzschild", "coefficient_tail": 7.418704436518835e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.054000302449942e-12, "infinity_row_residual": 8.131800166944101e-13, "ingoing_phase_residual": 1.0806778467394455e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 7.216449660063518e-15, "matching_checks": [ { "best_distance": 1.153873242635522e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j9", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.153873242635522e-09, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j8", "reverse_second_best_gap": 0.18690727068520366, "reverse_second_distance": 0.1869072718390769, "reverse_unambiguous": true, "second_best_gap": 0.18690726961915935, "second_distance": 0.1869072707730326, "unambiguous": true }, { "best_distance": 5.274881917449179e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j10", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.274881917449179e-10, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j8", "reverse_second_best_gap": 0.18690726980207337, "reverse_second_distance": 0.18690727032956156, "reverse_unambiguous": true, "second_best_gap": 0.1869072702455827, "second_distance": 0.1869072707730709, "unambiguous": true }, { "best_distance": 2.6986403642034275e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j7", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.6986403642034275e-09, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j8", "reverse_second_best_gap": 0.18690726574300182, "reverse_second_distance": 0.18690726844164218, "reverse_unambiguous": true, "second_best_gap": 0.18690726807396726, "second_distance": 0.18690727077260763, "unambiguous": true }, { "best_distance": 2.738535053727677e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.216449660063518e-15, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j6", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.738535053727677e-08, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j8", "reverse_second_best_gap": 0.1869072281427265, "reverse_second_distance": 0.18690725552807705, "reverse_unambiguous": true, "second_best_gap": 0.18690724338135092, "second_distance": 0.18690727076670147, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.738535053727677e-08, "max_resolution_difference": 1.153873242635522e-09, "omega_imag": -0.27391487496507166, "omega_real": 0.346710996648538, "outgoing_phase_residual": 1.6914239581928583e-14, "pencil_residual": 1.3199968513608033e-15, "reference_difference": 0.1869072707729618, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.4980252122880013e-13, "unfactored_residual": 1.0979866067730326e-13 }, { "N": 36, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N36:c0.7:j9", "case": "schwarzschild", "coefficient_tail": 1.4008715679113719e-14, "failure_reasons": [], "horizon_row_residual": 3.1272542025940554e-12, "infinity_row_residual": 3.239066285973523e-12, "ingoing_phase_residual": 9.235201446513093e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 1.1491618149166828e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N32:c0.7:j10", "peer_configuration": [ "schwarzschild", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1491618149166828e-13, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j9", "reverse_second_best_gap": 0.1869072707729177, "reverse_second_distance": 0.1869072707730326, "reverse_unambiguous": true, "second_best_gap": 0.186907271838962, "second_distance": 0.1869072718390769, "unambiguous": true }, { "best_distance": 1.8852889692496302e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j11", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8852889692496302e-13, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j9", "reverse_second_best_gap": 0.18690727077288238, "reverse_second_distance": 0.1869072707730709, "reverse_unambiguous": true, "second_best_gap": 0.18690727032937304, "second_distance": 0.18690727032956156, "unambiguous": true }, { "best_distance": 7.818557719671738e-13, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j8", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.818557719671738e-13, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j9", "reverse_second_best_gap": 0.18690727077182578, "reverse_second_distance": 0.18690727077260763, "reverse_unambiguous": true, "second_best_gap": 0.18690726844086034, "second_distance": 0.18690726844164218, "unambiguous": true }, { "best_distance": 1.044252210811906e-11, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j7", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.044252210811906e-11, "reverse_nearest_candidate_id": "schwarzschild:N36:c0.7:j9", "reverse_second_best_gap": 0.18690727075625893, "reverse_second_distance": 0.18690727076670147, "reverse_unambiguous": true, "second_best_gap": 0.1869072555176345, "second_distance": 0.18690725552807705, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.044252210811906e-11, "max_resolution_difference": 1.8852889692496302e-13, "omega_imag": -0.08896231568879563, "omega_real": 0.37367168441816273, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 3.1327905649120634e-15, "reference_difference": 1.8503187036301145e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 7.07329436111609e-13, "unfactored_residual": 3.904302605412267e-13 }, { "N": 36, "accepted": false, "branch_id": "branch-0271", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.000568288562984759, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.706467919003506e-09, "infinity_row_residual": 8.256666524111835e-13, "ingoing_phase_residual": 1.6944368525992348e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.4845680321315977, "matching_checks": [ { "best_distance": 0.013365722331398345, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0446870538087647, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j0", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.013365722331398345, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j0", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.07960312546476817, "reverse_unambiguous": true, "second_best_gap": 0.07958991030636707, "second_distance": 0.09295563263776542, "unambiguous": true }, { "best_distance": 0.005418283909538829, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0050756933748371535, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j2", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005418283909538829, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j0", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.07165568704290864, "reverse_unambiguous": true, "second_best_gap": 0.010592673560119802, "second_distance": 0.01601095746965863, "unambiguous": true }, { "best_distance": 0.026063644642603773, "edge_kind": "map", "eigenfunction_mismatch": 0.4845680321315977, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j0", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.026063644642603773, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j0", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.09230104777597359, "reverse_unambiguous": true, "second_best_gap": 0.010853681566309809, "second_distance": 0.03691732620891358, "unambiguous": true }, { "best_distance": 0.011750857086566167, "edge_kind": "map", "eigenfunction_mismatch": 0.031803656326072294, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j0", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.011750857086566167, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j0", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.07798826021993599, "reverse_unambiguous": true, "second_best_gap": 0.037946199280227084, "second_distance": 0.04969705636679325, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.026063644642603773, "max_resolution_difference": 0.013365722331398345, "omega_imag": -0.028147963155101735, "omega_real": 2.2920460645308597e-13, "outgoing_phase_residual": 2.6644658701613366e-13, "pencil_residual": 4.496873149325634e-14, "reference_difference": 0.3785880521222966, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0446870538087647, "transformed_residual": 0.043080877449122826, "unfactored_residual": 0.9831127976921922 }, { "N": 36, "accepted": false, "branch_id": "branch-0272", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 4.152695967286126e-06, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.876684594950684e-10, "infinity_row_residual": 2.5080379561088204e-12, "ingoing_phase_residual": 2.410276811748435e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.014698012097884572, "matching_checks": [ { "best_distance": 0.026718229504395605, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006320253510493479, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j1", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.026718229504395605, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j1", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.09295563263776542, "reverse_unambiguous": true, "second_best_gap": 0.05288489596037256, "second_distance": 0.07960312546476817, "unambiguous": true }, { "best_distance": 0.025682049726334824, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00590040684331572, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j3", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.025682049726334824, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j1", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.09191945285970464, "reverse_unambiguous": true, "second_best_gap": 0.02454439593737636, "second_distance": 0.050226445663711185, "unambiguous": true }, { "best_distance": 0.029320076924456234, "edge_kind": "map", "eigenfunction_mismatch": 0.014698012097884572, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j1", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.029320076924456234, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j1", "reverse_second_best_gap": 0.007597249284457347, "reverse_second_distance": 0.03691732620891358, "reverse_unambiguous": true, "second_best_gap": 0.029791468764645057, "second_distance": 0.05911154568910129, "unambiguous": true }, { "best_distance": 0.016540346766576564, "edge_kind": "map", "eigenfunction_mismatch": 0.003938360005332098, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j1", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.016540346766576564, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j1", "reverse_second_best_gap": 0.03315670960021669, "reverse_second_distance": 0.04969705636679325, "reverse_unambiguous": true, "second_best_gap": 0.061447913453359426, "second_distance": 0.07798826021993599, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.029320076924456234, "max_resolution_difference": 0.026718229504395605, "omega_imag": -0.09438536628847155, "omega_real": 7.430257902136332e-12, "outgoing_phase_residual": 7.94780907753534e-14, "pencil_residual": 3.011662567650873e-14, "reference_difference": 0.37371103436755626, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006320253510493479, "transformed_residual": 6.13588122118059e-05, "unfactored_residual": 0.0012278946490480427 }, { "N": 36, "accepted": false, "branch_id": "branch-0273", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 2.2081273920902425e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.81441828248545e-12, "infinity_row_residual": 5.092747064681292e-12, "ingoing_phase_residual": 1.6881808072855e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.011847022927772177, "matching_checks": [ { "best_distance": 0.10668169818085917, "edge_kind": "resolution", "eigenfunction_mismatch": 0.03241771111558278, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j1", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.026718229504395605, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j1", "reverse_second_best_gap": 0.06623740313336982, "reverse_second_distance": 0.09295563263776542, "reverse_unambiguous": true, "second_best_gap": 0.10632135496916377, "second_distance": 0.21300305315002294, "unambiguous": true }, { "best_distance": 0.03299981884436631, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010206164817629926, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j5", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03299981884436631, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j2", "reverse_second_best_gap": 0.13339992768525477, "reverse_second_distance": 0.16639974652962108, "reverse_unambiguous": true, "second_best_gap": 0.07471805911455363, "second_distance": 0.10771787795891995, "unambiguous": true }, { "best_distance": 0.07428838199615348, "edge_kind": "map", "eigenfunction_mismatch": 0.011847022927772177, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j2", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.05911154568910129, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j1", "reverse_second_best_gap": 0.015176836307052188, "reverse_second_distance": 0.07428838199615348, "reverse_unambiguous": true, "second_best_gap": 0.08843162261355753, "second_distance": 0.162720004609711, "unambiguous": true }, { "best_distance": 0.008483207017290446, "edge_kind": "map", "eigenfunction_mismatch": 9.154923185450414e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008483207017290446, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j2", "reverse_second_best_gap": 0.11643351365067389, "reverse_second_distance": 0.12491672066796433, "reverse_unambiguous": true, "second_best_gap": 0.1414570674345409, "second_distance": 0.14994027445183133, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07428838199615348, "max_resolution_difference": 0.10668169818085917, "omega_imag": -0.22778529397372632, "omega_real": 3.641722126792707e-10, "outgoing_phase_residual": 3.289035710452026e-14, "pencil_residual": 2.178550903818515e-14, "reference_difference": 0.39862557213946326, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.03241771111558278, "transformed_residual": 2.560201556899356e-07, "unfactored_residual": 1.2277594373933776e-06 }, { "N": 36, "accepted": false, "branch_id": "branch-0274", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 3.975008094521893e-11, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4836643046609118e-11, "infinity_row_residual": 7.51696533930558e-12, "ingoing_phase_residual": 1.6075013159478239e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.016632947717373447, "matching_checks": [ { "best_distance": 0.031079767507979077, "edge_kind": "resolution", "eigenfunction_mismatch": 1.882934120278623e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j2", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.031079767507979077, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j3", "reverse_second_best_gap": 0.19298593619722276, "reverse_second_distance": 0.22406570370520185, "reverse_unambiguous": true, "second_best_gap": 0.27001480528866295, "second_distance": 0.30109457279664203, "unambiguous": true }, { "best_distance": 0.031850661904253535, "edge_kind": "resolution", "eigenfunction_mismatch": 9.709736145113723e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j4", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.031850661904253535, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j3", "reverse_second_best_gap": 0.25514547121308584, "reverse_second_distance": 0.28699613311733935, "reverse_unambiguous": true, "second_best_gap": 0.19029499046451973, "second_distance": 0.22214565236877326, "unambiguous": true }, { "best_distance": 0.05975402380350605, "edge_kind": "map", "eigenfunction_mismatch": 9.641987254416229e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j3", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05975402380350605, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j3", "reverse_second_best_gap": 0.13563742360613712, "reverse_second_distance": 0.19539144740964318, "reverse_unambiguous": true, "second_best_gap": 0.23845393391642813, "second_distance": 0.2982079577199342, "unambiguous": true }, { "best_distance": 0.26362867823042896, "edge_kind": "map", "eigenfunction_mismatch": 0.016632947717373447, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.008483207017290446, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j2", "reverse_second_best_gap": 0.11643351365067389, "reverse_second_distance": 0.12491672066796433, "reverse_unambiguous": true, "second_best_gap": 0.03745672314881271, "second_distance": 0.30108540137924167, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.26362867823042896, "max_resolution_difference": 0.031850661904253535, "omega_imag": -0.4829307651868592, "omega_real": 5.475532846892719e-08, "outgoing_phase_residual": 1.5543122344752293e-14, "pencil_residual": 1.8800501937724156e-14, "reference_difference": 0.542993209915728, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.882934120278623e-05, "transformed_residual": 3.354287224559253e-10, "unfactored_residual": 5.236088639521435e-10 }, { "N": 36, "accepted": false, "branch_id": "branch-0275", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 2.1924609541484166e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.129039146209378e-13, "infinity_row_residual": 6.485910111105433e-12, "ingoing_phase_residual": 5.12544048111379e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.4047634318004043e-06, "matching_checks": [ { "best_distance": 0.001740223543808448, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8428910819601185e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j3", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.001740223543808448, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j4", "reverse_second_best_gap": 0.2413451972417288, "reverse_second_distance": 0.24308542078553724, "reverse_unambiguous": true, "second_best_gap": 0.2426957799550407, "second_distance": 0.24443600349884917, "unambiguous": true }, { "best_distance": 0.03716372177182688, "edge_kind": "resolution", "eigenfunction_mismatch": 7.826549237810454e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j8", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03716372177182688, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j4", "reverse_second_best_gap": 0.2445736183710569, "reverse_second_distance": 0.28173734014288376, "reverse_unambiguous": true, "second_best_gap": 0.012420675035189711, "second_distance": 0.04958439680701659, "unambiguous": true }, { "best_distance": 0.003768564836421871, "edge_kind": "map", "eigenfunction_mismatch": 8.483656314117738e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j5", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.003768564836421871, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j4", "reverse_second_best_gap": 0.23816345474553488, "reverse_second_distance": 0.24193201958195676, "reverse_unambiguous": true, "second_best_gap": 0.241004572893564, "second_distance": 0.24477313772998588, "unambiguous": true }, { "best_distance": 0.004803202119027102, "edge_kind": "map", "eigenfunction_mismatch": 1.4047634318004043e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j3", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004803202119027102, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j4", "reverse_second_best_gap": 0.24364398893917022, "reverse_second_distance": 0.24844719105819732, "reverse_unambiguous": true, "second_best_gap": 0.24026068935188216, "second_distance": 0.24506389147090926, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004803202119027102, "max_resolution_difference": 0.03716372177182688, "omega_imag": -0.9456466450966073, "omega_real": 0.20633705593419724, "outgoing_phase_residual": 7.845406930598488e-15, "pencil_residual": 1.7936330862638255e-14, "reference_difference": 0.8728739417249769, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.826549237810454e-05, "transformed_residual": 1.2178323503498773e-13, "unfactored_residual": 1.843393038809473e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0276", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 5.2197904713891635e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3200394356988026e-13, "infinity_row_residual": 7.463822705811798e-12, "ingoing_phase_residual": 7.185381499735791e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 5.5802778398117425e-08, "matching_checks": [ { "best_distance": 0.00014653932868615612, "edge_kind": "resolution", "eigenfunction_mismatch": 4.692986554921674e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.0:j4", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00014653932868615612, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j5", "reverse_second_best_gap": 0.2323387932383036, "reverse_second_distance": 0.23248533256698975, "reverse_unambiguous": true, "second_best_gap": 0.23220136845838876, "second_distance": 0.23234790778707493, "unambiguous": true }, { "best_distance": 0.00015495417752601522, "edge_kind": "resolution", "eigenfunction_mismatch": 5.2379450776740555e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j9", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00015495417752601522, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j5", "reverse_second_best_gap": 0.23211807833403725, "reverse_second_distance": 0.23227303251156325, "reverse_unambiguous": true, "second_best_gap": 0.23218971238357206, "second_distance": 0.23234466656109806, "unambiguous": true }, { "best_distance": 0.00019566899274246568, "edge_kind": "map", "eigenfunction_mismatch": 8.371389692563014e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j6", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00019566899274246568, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j5", "reverse_second_best_gap": 0.23195415783285933, "reverse_second_distance": 0.23214982682560178, "reverse_unambiguous": true, "second_best_gap": 0.23214964174108993, "second_distance": 0.23234531073383238, "unambiguous": true }, { "best_distance": 0.0005050903077310166, "edge_kind": "map", "eigenfunction_mismatch": 5.5802778398117425e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j4", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005050903077310166, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j5", "reverse_second_best_gap": 0.23135788148745484, "reverse_second_distance": 0.23186297179518586, "reverse_unambiguous": true, "second_best_gap": 0.2318307737635197, "second_distance": 0.23233586407125073, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005050903077310166, "max_resolution_difference": 0.00015495417752601522, "omega_imag": -0.7052648431160341, "omega_real": 0.2514476050927887, "outgoing_phase_residual": 1.0007415106216803e-14, "pencil_residual": 1.7478986678396736e-14, "reference_difference": 0.6283052847779773, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.2379450776740555e-09, "transformed_residual": 1.9765243566102615e-13, "unfactored_residual": 1.941360830348665e-13 }, { "N": 36, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 1.9853074073055808e-13, "failure_reasons": [ "matching:map:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.374131282613498e-13, "infinity_row_residual": 8.548988699730641e-12, "ingoing_phase_residual": 9.923032934284593e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1996270643521711e-10, "matching_checks": [ { "best_distance": 4.456463239374899e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.684941158292986e-11, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j5", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.456463239374899e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j6", "reverse_second_best_gap": 0.20939297307942628, "reverse_second_distance": 0.20939742954266566, "reverse_unambiguous": true, "second_best_gap": 0.20939637297153177, "second_distance": 0.20940082943477115, "unambiguous": true }, { "best_distance": 1.7811928316341134e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 4.289568700244217e-12, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j10", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.7811928316341134e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j6", "reverse_second_best_gap": 0.2093989111763233, "reverse_second_distance": 0.20940069236915496, "reverse_unambiguous": true, "second_best_gap": 0.2093990424516932, "second_distance": 0.20940082364452484, "unambiguous": true }, { "best_distance": 2.0409894762778577e-06, "edge_kind": "map", "eigenfunction_mismatch": 5.631495270108644e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j7", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0409894762778577e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j6", "reverse_second_best_gap": 0.2093980077153854, "reverse_second_distance": 0.20940004870486167, "reverse_unambiguous": true, "second_best_gap": 0.20939878300426065, "second_distance": 0.20940082399373694, "unambiguous": true }, { "best_distance": 9.414668773456788e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.1996270643521711e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j5", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 9.414668773456788e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j6", "reverse_second_best_gap": 0.20940008902357807, "reverse_second_distance": 0.20940950369235153, "reverse_unambiguous": true, "second_best_gap": 0.20939142623275242, "second_distance": 0.2094008409015259, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 9.414668773456788e-06, "max_resolution_difference": 4.456463239374899e-06, "omega_imag": -0.47827789045419905, "omega_real": 0.3010550771041167, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 1.723123980438053e-14, "reference_difference": 0.3960300347354884, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.684941158292986e-11, "transformed_residual": 9.361676531235015e-13, "unfactored_residual": 1.1234575664589478e-12 }, { "N": 36, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 2.1161055895781727e-13, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 7.672772763980325e-13, "infinity_row_residual": 7.977807090984517e-12, "ingoing_phase_residual": 1.080677841822051e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 5.995204332975845e-15, "matching_checks": [ { "best_distance": 1.3102412378002036e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7763568394002505e-15, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j6", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.3102412378002036e-08, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j7", "reverse_second_best_gap": 0.18690725137696926, "reverse_second_distance": 0.18690726447938164, "reverse_unambiguous": true, "second_best_gap": 0.18690725533650246, "second_distance": 0.18690726843891484, "unambiguous": true }, { "best_distance": 2.8027558181819136e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j11", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.8027558181819136e-09, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j7", "reverse_second_best_gap": 0.186907268377622, "reverse_second_distance": 0.1869072711803778, "reverse_unambiguous": true, "second_best_gap": 0.1869072656389333, "second_distance": 0.18690726844168912, "unambiguous": true }, { "best_distance": 2.6986403642034275e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j8", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.6986403642034275e-09, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j7", "reverse_second_best_gap": 0.18690726807396726, "reverse_second_distance": 0.18690727077260763, "reverse_unambiguous": true, "second_best_gap": 0.18690726574300182, "second_distance": 0.18690726844164218, "unambiguous": true }, { "best_distance": 2.4986389739497113e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.995204332975845e-15, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j6", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.4986389739497113e-08, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j7", "reverse_second_best_gap": 0.1869072305411771, "reverse_second_distance": 0.18690725552756685, "reverse_unambiguous": true, "second_best_gap": 0.18690724344883605, "second_distance": 0.1869072684352258, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.4986389739497113e-08, "max_resolution_difference": 1.3102412378002036e-08, "omega_imag": -0.2739148728540098, "omega_real": 0.34671099832963215, "outgoing_phase_residual": 1.6914239581928583e-14, "pencil_residual": 1.2785518462495363e-14, "reference_difference": 0.18690726844148614, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.7763568394002505e-15, "transformed_residual": 1.707495260898824e-12, "unfactored_residual": 2.45637641691252e-12 }, { "N": 36, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.0:j8", "case": "schwarzschild", "coefficient_tail": 5.951319587430238e-14, "failure_reasons": [], "horizon_row_residual": 3.5775741463730623e-12, "infinity_row_residual": 1.7642830724682994e-11, "ingoing_phase_residual": 9.235201446513093e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.220446049250313e-16, "matching_checks": [ { "best_distance": 4.07066177752095e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.0:j7", "peer_configuration": [ "schwarzschild", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.07066177752095e-12, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j8", "reverse_second_best_gap": 0.18690726843484418, "reverse_second_distance": 0.18690726843891484, "reverse_unambiguous": true, "second_best_gap": 0.18690726447531097, "second_distance": 0.18690726447938164, "unambiguous": true }, { "best_distance": 7.063178634714859e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j12", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.063178634714859e-13, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j8", "reverse_second_best_gap": 0.1869072684409828, "reverse_second_distance": 0.18690726844168912, "reverse_unambiguous": true, "second_best_gap": 0.18690727117967149, "second_distance": 0.1869072711803778, "unambiguous": true }, { "best_distance": 7.818557719671738e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j9", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.818557719671738e-13, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j8", "reverse_second_best_gap": 0.18690726844086034, "reverse_second_distance": 0.18690726844164218, "reverse_unambiguous": true, "second_best_gap": 0.18690727077182578, "second_distance": 0.18690727077260763, "unambiguous": true }, { "best_distance": 9.661695363430218e-12, "edge_kind": "map", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j7", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 9.661695363430218e-12, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.0:j8", "reverse_second_best_gap": 0.1869072684255641, "reverse_second_distance": 0.1869072684352258, "reverse_unambiguous": true, "second_best_gap": 0.18690725551790516, "second_distance": 0.18690725552756685, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.661695363430218e-12, "max_resolution_difference": 4.07066177752095e-12, "omega_imag": -0.0889623156892151, "omega_real": 0.3736716844175029, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 1.4812686703471923e-14, "reference_difference": 6.070262275801851e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.4440624686950345e-12, "unfactored_residual": 1.3994258891631135e-12 }, { "N": 36, "accepted": false, "branch_id": "branch-0277", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.007674572875318708, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.52455722802667e-09, "infinity_row_residual": 1.1043385187866601e-13, "ingoing_phase_residual": 1.680173594871548e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.364183015645541, "matching_checks": [ { "best_distance": 0.08346211176567911, "edge_kind": "resolution", "eigenfunction_mismatch": 0.27944054828898546, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.022014198312319683, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j1", "reverse_second_best_gap": 0.061447913453359426, "reverse_second_distance": 0.08346211176567911, "reverse_unambiguous": true, "second_best_gap": 0.19049878526652694, "second_distance": 0.27396089703220605, "unambiguous": true }, { "best_distance": 0.013008333234229539, "edge_kind": "resolution", "eigenfunction_mismatch": 0.25004914811542533, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j0", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.013008333234229539, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j0", "reverse_second_best_gap": 0.061447913453359426, "reverse_second_distance": 0.07445624668758896, "reverse_unambiguous": true, "second_best_gap": 0.033097959895710904, "second_distance": 0.04610629312994045, "unambiguous": true }, { "best_distance": 0.014312787556037607, "edge_kind": "map", "eigenfunction_mismatch": 0.364183015645541, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j0", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.014312787556037607, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j0", "reverse_second_best_gap": 0.06144791345335942, "reverse_second_distance": 0.07576070100939702, "reverse_unambiguous": true, "second_best_gap": 0.03435539573944214, "second_distance": 0.04866818329547975, "unambiguous": true }, { "best_distance": 0.011750857086566167, "edge_kind": "map", "eigenfunction_mismatch": 0.031803656326072294, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j0", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011750857086566167, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j0", "reverse_second_best_gap": 0.037946199280227084, "reverse_second_distance": 0.04969705636679325, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.07798826021993599, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.014312787556037607, "max_resolution_difference": 0.08346211176567911, "omega_imag": -0.016397106068535568, "omega_real": 1.3746078103102213e-13, "outgoing_phase_residual": 4.573980083577567e-13, "pencil_residual": 9.235546665134398e-15, "reference_difference": 0.38065238391867, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.27944054828898546, "transformed_residual": 0.9999189997940088, "unfactored_residual": 0.980777372588805 }, { "N": 36, "accepted": false, "branch_id": "branch-0278", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 3.8724032109309e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.05693234236395e-10, "infinity_row_residual": 2.0395388090017308e-13, "ingoing_phase_residual": 2.1786049586580702e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.003938360005332098, "matching_checks": [ { "best_distance": 0.022014198312319683, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006538995181712859, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j0", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.022014198312319683, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j1", "reverse_second_best_gap": 0.061447913453359426, "reverse_second_distance": 0.08346211176567911, "reverse_unambiguous": true, "second_best_gap": 0.19049878526652694, "second_distance": 0.21251298357884663, "unambiguous": true }, { "best_distance": 0.015341620323418972, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0052161352458917065, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j1", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.015341620323418972, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j1", "reverse_second_best_gap": 0.030764672806521474, "reverse_second_distance": 0.04610629312994045, "reverse_unambiguous": true, "second_best_gap": 0.05911462636416999, "second_distance": 0.07445624668758896, "unambiguous": true }, { "best_distance": 0.01277973015787967, "edge_kind": "map", "eigenfunction_mismatch": 0.0034812552936256402, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j1", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01277973015787967, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j1", "reverse_second_best_gap": 0.03588845313760008, "reverse_second_distance": 0.04866818329547975, "reverse_unambiguous": true, "second_best_gap": 0.06287216229779818, "second_distance": 0.07565189245567785, "unambiguous": true }, { "best_distance": 0.016540346766576564, "edge_kind": "map", "eigenfunction_mismatch": 0.003938360005332098, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j1", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.016540346766576564, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j1", "reverse_second_best_gap": 0.061447913453359426, "reverse_second_distance": 0.07798826021993599, "reverse_unambiguous": true, "second_best_gap": 0.03315670960021669, "second_distance": 0.04969705636679325, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.016540346766576564, "max_resolution_difference": 0.022014198312319683, "omega_imag": -0.07784501952189499, "omega_real": 8.145636974141159e-13, "outgoing_phase_residual": 9.635348074965577e-14, "pencil_residual": 3.0210436482346914e-15, "reference_difference": 0.3738370260010016, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006538995181712859, "transformed_residual": 0.0006724864873157161, "unfactored_residual": 0.017054570121982422 }, { "N": 36, "accepted": false, "branch_id": "branch-0279", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 1.5877033513139576e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.7571793377378465e-11, "infinity_row_residual": 1.0807178767224173e-12, "ingoing_phase_residual": 1.2216894467176331e-06, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.009876328969094073, "matching_checks": [ { "best_distance": 0.07105591614430573, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004108800890049613, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j1", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.07105591614430573, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j2", "reverse_second_best_gap": 0.1414570674345409, "reverse_second_distance": 0.21251298357884663, "reverse_unambiguous": true, "second_best_gap": 0.04838695297791548, "second_distance": 0.11944286912222121, "unambiguous": true }, { "best_distance": 0.046321123509965395, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004168696707819497, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j2", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.046321123509965395, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j2", "reverse_second_best_gap": 0.048814820414610105, "reverse_second_distance": 0.0951359439245755, "reverse_unambiguous": true, "second_best_gap": 0.11047756424799446, "second_distance": 0.15679868775795985, "unambiguous": true }, { "best_distance": 0.06580517497886304, "edge_kind": "map", "eigenfunction_mismatch": 0.009876328969094073, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j2", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06580517497886304, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j2", "reverse_second_best_gap": 0.009846717476814815, "reverse_second_distance": 0.07565189245567785, "reverse_unambiguous": true, "second_best_gap": 0.08843162261355753, "second_distance": 0.15423679759242057, "unambiguous": true }, { "best_distance": 0.008483207017290446, "edge_kind": "map", "eigenfunction_mismatch": 9.154923185450414e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j2", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008483207017290446, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j2", "reverse_second_best_gap": 0.1414570674345409, "reverse_second_distance": 0.14994027445183133, "reverse_unambiguous": true, "second_best_gap": 0.11643351365067389, "second_distance": 0.12491672066796433, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.06580517497886304, "max_resolution_difference": 0.07105591614430573, "omega_imag": -0.21930208695643588, "omega_real": 1.5164650263291444e-12, "outgoing_phase_residual": 3.422262473407045e-14, "pencil_residual": 4.327908270613731e-15, "reference_difference": 0.39575116387541753, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004168696707819497, "transformed_residual": 1.974626669160382e-06, "unfactored_residual": 1.006547461933022e-05 }, { "N": 36, "accepted": false, "branch_id": "branch-0280", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 1.1395624925609844e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.9349248138369722e-12, "infinity_row_residual": 1.1386519246449678e-12, "ingoing_phase_residual": 5.09176527536541e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 4.4047822603809905e-06, "matching_checks": [ { "best_distance": 0.0022952690004970186, "edge_kind": "resolution", "eigenfunction_mismatch": 3.2486356305039266e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j3", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0022952690004970186, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j3", "reverse_second_best_gap": 0.2472012049949915, "reverse_second_distance": 0.24949647399548852, "reverse_unambiguous": true, "second_best_gap": 0.24649400853718245, "second_distance": 0.24878927753767946, "unambiguous": true }, { "best_distance": 0.0019869413653170313, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4045630298008547e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j5", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0019869413653170313, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j3", "reverse_second_best_gap": 0.24619182366092976, "reverse_second_distance": 0.24817876502624678, "reverse_unambiguous": true, "second_best_gap": 0.21651024490370951, "second_distance": 0.21849718626902653, "unambiguous": true }, { "best_distance": 0.008548972107505598, "edge_kind": "map", "eigenfunction_mismatch": 4.4047822603809905e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j5", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008548972107505598, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j3", "reverse_second_best_gap": 0.2338674443805184, "reverse_second_distance": 0.242416416488024, "reverse_unambiguous": true, "second_best_gap": 0.2400935541064264, "second_distance": 0.248642526213932, "unambiguous": true }, { "best_distance": 0.004803202119027102, "edge_kind": "map", "eigenfunction_mismatch": 1.4047634315783597e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j4", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004803202119027102, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j3", "reverse_second_best_gap": 0.24026068935188216, "reverse_second_distance": 0.24506389147090926, "reverse_unambiguous": true, "second_best_gap": 0.24364398893917022, "second_distance": 0.24844719105819732, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.008548972107505598, "max_resolution_difference": 0.0022952690004970186, "omega_imag": -0.9499622807179697, "omega_real": 0.20844561937404307, "outgoing_phase_residual": 7.622633144142852e-15, "pencil_residual": 2.926777823459963e-15, "reference_difference": 0.876710095955283, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.2486356305039266e-07, "transformed_residual": 2.1713739516434976e-13, "unfactored_residual": 1.8176675326426024e-13 }, { "N": 36, "accepted": false, "branch_id": "branch-0281", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 7.031762029221502e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.151270449967485e-12, "infinity_row_residual": 1.459631553314719e-12, "ingoing_phase_residual": 7.191830600021313e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 5.5802778398117425e-08, "matching_checks": [ { "best_distance": 0.0005948921574842467, "edge_kind": "resolution", "eigenfunction_mismatch": 7.649802447051712e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j4", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005948921574842467, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j4", "reverse_second_best_gap": 0.2314304985808554, "reverse_second_distance": 0.23202539073833964, "reverse_unambiguous": true, "second_best_gap": 0.2312599867478263, "second_distance": 0.23185487890531054, "unambiguous": true }, { "best_distance": 0.0003427620709676765, "edge_kind": "resolution", "eigenfunction_mismatch": 2.579002067459868e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j6", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0003427620709676765, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j4", "reverse_second_best_gap": 0.23168692639869187, "reverse_second_distance": 0.23202968846965955, "reverse_unambiguous": true, "second_best_gap": 0.2315215733038197, "second_distance": 0.23186433537478737, "unambiguous": true }, { "best_distance": 0.00031613499321521453, "edge_kind": "map", "eigenfunction_mismatch": 2.188353254162223e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j6", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00031613499321521453, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j4", "reverse_second_best_gap": 0.23182503132444524, "reverse_second_distance": 0.23214116631766046, "reverse_unambiguous": true, "second_best_gap": 0.23154762202949408, "second_distance": 0.2318637570227093, "unambiguous": true }, { "best_distance": 0.0005050903077310166, "edge_kind": "map", "eigenfunction_mismatch": 5.5802778398117425e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j5", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005050903077310166, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j4", "reverse_second_best_gap": 0.2318307737635197, "reverse_second_distance": 0.23233586407125073, "reverse_unambiguous": true, "second_best_gap": 0.23135788148745484, "second_distance": 0.23186297179518586, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005050903077310166, "max_resolution_difference": 0.0005948921574842467, "omega_imag": -0.7047618425203225, "omega_real": 0.25140170716606464, "outgoing_phase_residual": 1.0130594991238521e-14, "pencil_residual": 3.120986845824458e-15, "reference_difference": 0.6278208379649076, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.649802447051712e-08, "transformed_residual": 2.9542451503487975e-12, "unfactored_residual": 2.8891822426632393e-12 }, { "N": 36, "accepted": false, "branch_id": "branch-0282", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 2.2480176438743594e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.958051163181935e-13, "infinity_row_residual": 1.9236443816462607e-12, "ingoing_phase_residual": 9.923024213721588e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.2520529057979957e-10, "matching_checks": [ { "best_distance": 2.479210247862825e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 8.304376075685127e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N32:c1.4:j5", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.479210247862825e-05, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j5", "reverse_second_best_gap": 0.20938405977128674, "reverse_second_distance": 0.20940885187376537, "reverse_unambiguous": true, "second_best_gap": 0.20938476409621518, "second_distance": 0.2094095561986938, "unambiguous": true }, { "best_distance": 1.0181539072658172e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4027490280454913e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j7", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0181539072658172e-05, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j5", "reverse_second_best_gap": 0.20938931763211863, "reverse_second_distance": 0.20939949917119127, "reverse_unambiguous": true, "second_best_gap": 0.20939931235496093, "second_distance": 0.20940949389403357, "unambiguous": true }, { "best_distance": 9.618403240145952e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.2520529057979957e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j7", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.618403240145952e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j5", "reverse_second_best_gap": 0.20939044478278943, "reverse_second_distance": 0.20940006318602958, "reverse_unambiguous": true, "second_best_gap": 0.20939988286228625, "second_distance": 0.2094095012655264, "unambiguous": true }, { "best_distance": 9.414668773456788e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.1996270643521711e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j6", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.414668773456788e-06, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j5", "reverse_second_best_gap": 0.20939142623275242, "reverse_second_distance": 0.2094008409015259, "reverse_unambiguous": true, "second_best_gap": 0.20940008902357807, "second_distance": 0.20940950369235153, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 9.618403240145952e-06, "max_resolution_difference": 2.479210247862825e-05, "omega_imag": -0.4782855625541641, "omega_real": 0.3010496204686845, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 3.4806454011156563e-15, "reference_difference": 0.3960385773153269, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.304376075685127e-10, "transformed_residual": 2.0260363731179164e-11, "unfactored_residual": 2.4369017424258377e-11 }, { "N": 36, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 3.597391841670173e-12, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.840336016098419e-12, "infinity_row_residual": 3.2320384411388773e-12, "ingoing_phase_residual": 1.0806777726652132e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 7.216449660063518e-15, "matching_checks": [ { "best_distance": 1.2286892850758507e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 1.474376176702208e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j6", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.2286892850758507e-07, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j6", "reverse_second_best_gap": 0.18690708597296235, "reverse_second_distance": 0.18690720884189085, "reverse_unambiguous": true, "second_best_gap": 0.18690713265140083, "second_distance": 0.18690725552032933, "unambiguous": true }, { "best_distance": 3.153752167746801e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 9.658940314238862e-15, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j8", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.153752167746801e-08, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j6", "reverse_second_best_gap": 0.18690724668602082, "reverse_second_distance": 0.1869072782235425, "reverse_unambiguous": true, "second_best_gap": 0.18690722399220833, "second_distance": 0.18690725552973, "unambiguous": true }, { "best_distance": 2.738535053727677e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.216449660063518e-15, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j8", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.738535053727677e-08, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j6", "reverse_second_best_gap": 0.18690724338135092, "reverse_second_distance": 0.18690727076670147, "reverse_unambiguous": true, "second_best_gap": 0.1869072281427265, "second_distance": 0.18690725552807705, "unambiguous": true }, { "best_distance": 2.4986389739497113e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.995204332975845e-15, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j7", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.4986389739497113e-08, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j6", "reverse_second_best_gap": 0.18690724344883605, "reverse_second_distance": 0.1869072684352258, "reverse_unambiguous": true, "second_best_gap": 0.1869072305411771, "second_distance": 0.18690725552756685, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.738535053727677e-08, "max_resolution_difference": 1.2286892850758507e-07, "omega_imag": -0.2739148631610171, "omega_real": 0.3467110213592992, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 4.53431459811564e-15, "reference_difference": 0.18690725552792103, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.474376176702208e-13, "transformed_residual": 4.337187007179474e-11, "unfactored_residual": 6.280458737529599e-11 }, { "N": 36, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N36:c1.4:j7", "case": "schwarzschild", "coefficient_tail": 1.6148943247173852e-12, "failure_reasons": [], "horizon_row_residual": 4.188445313373423e-12, "infinity_row_residual": 4.524247056773062e-12, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 7.822374900917169e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N32:c1.4:j7", "peer_configuration": [ "schwarzschild", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.822374900917169e-11, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j7", "reverse_second_best_gap": 0.18690725544210557, "reverse_second_distance": 0.18690725552032933, "reverse_unambiguous": true, "second_best_gap": 0.1869072087636671, "second_distance": 0.18690720884189085, "unambiguous": true }, { "best_distance": 1.1676149567831446e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j9", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1676149567831446e-11, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j7", "reverse_second_best_gap": 0.18690725551805384, "reverse_second_distance": 0.18690725552973, "reverse_unambiguous": true, "second_best_gap": 0.18690727821186634, "second_distance": 0.1869072782235425, "unambiguous": true }, { "best_distance": 1.044252210811906e-11, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j9", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.044252210811906e-11, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j7", "reverse_second_best_gap": 0.1869072555176345, "reverse_second_distance": 0.18690725552807705, "reverse_unambiguous": true, "second_best_gap": 0.18690727075625893, "second_distance": 0.18690727076670147, "unambiguous": true }, { "best_distance": 9.661695363430218e-12, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j8", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.661695363430218e-12, "reverse_nearest_candidate_id": "schwarzschild:N36:c1.4:j7", "reverse_second_best_gap": 0.18690725551790516, "reverse_second_distance": 0.18690725552756685, "reverse_unambiguous": true, "second_best_gap": 0.1869072684255641, "second_distance": 0.1869072684352258, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.044252210811906e-11, "max_resolution_difference": 7.822374900917169e-11, "omega_imag": -0.08896231569395653, "omega_real": 0.37367168440908466, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 3.447879473193476e-15, "reference_difference": 1.0268379051205899e-11, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.5015873006330006e-11, "unfactored_residual": 3.1126225067066336e-11 }, { "N": 40, "accepted": false, "branch_id": "branch-0283", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.008251830650421938, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.446863955205176e-08, "infinity_row_residual": 5.2652278147341195e-14, "ingoing_phase_residual": 1.56859197906688e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.13251916821331322, "matching_checks": [ { "best_distance": 0.004491818453091184, "edge_kind": "resolution", "eigenfunction_mismatch": 0.16183717306163903, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j0", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004491818453091184, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j0", "reverse_second_best_gap": 0.024103855967884266, "reverse_second_distance": 0.02859567442097545, "reverse_unambiguous": true, "second_best_gap": 0.053997333945334985, "second_distance": 0.05848915239842617, "unambiguous": true }, { "best_distance": 0.0011449575141793565, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004153954617679867, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j0", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0011449575141793565, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j0", "reverse_second_best_gap": 0.024103855967884266, "reverse_second_distance": 0.025248813482063624, "reverse_unambiguous": true, "second_best_gap": 0.004036578163516835, "second_distance": 0.005181535677696192, "unambiguous": true }, { "best_distance": 0.004160962321325979, "edge_kind": "map", "eigenfunction_mismatch": 0.13251916821331322, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j1", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004160962321325979, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j0", "reverse_second_best_gap": 0.024103855967884266, "reverse_second_distance": 0.028264818289210247, "reverse_unambiguous": true, "second_best_gap": 0.01199257995864778, "second_distance": 0.01615354227997376, "unambiguous": true }, { "best_distance": 0.0031873641312831166, "edge_kind": "map", "eigenfunction_mismatch": 0.07422111200768433, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j0", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0031873641312831166, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j0", "reverse_second_best_gap": 0.024103855967884266, "reverse_second_distance": 0.027291220099167384, "reverse_unambiguous": true, "second_best_gap": 0.052739898101603754, "second_distance": 0.05592726223288687, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004160962321325979, "max_resolution_difference": 0.004491818453091184, "omega_imag": -0.006576136965589145, "omega_real": 1.4143666555643256e-14, "outgoing_phase_residual": 1.1404965513661658e-12, "pencil_residual": 2.8286069757161003e-14, "reference_difference": 0.38264606385070954, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.16183717306163903, "transformed_residual": 0.9972407353475282, "unfactored_residual": 0.9999615186439694 }, { "N": 40, "accepted": false, "branch_id": "branch-0284", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 5.8226066853152796e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.4984505746900934e-08, "infinity_row_residual": 6.281941134919067e-14, "ingoing_phase_residual": 1.7096806444183472e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.3940656176741143, "matching_checks": [ { "best_distance": 0.02859567442097545, "edge_kind": "resolution", "eigenfunction_mismatch": 0.5027014606178171, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j0", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.004491818453091184, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j0", "reverse_second_best_gap": 0.024103855967884266, "reverse_second_distance": 0.02859567442097545, "reverse_unambiguous": true, "second_best_gap": 0.005789622009566453, "second_distance": 0.0343852964305419, "unambiguous": true }, { "best_distance": 0.005380788676914463, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0041308463581597454, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j2", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005380788676914463, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j1", "reverse_second_best_gap": 0.013342278614055344, "reverse_second_distance": 0.018723067290969807, "reverse_unambiguous": true, "second_best_gap": 0.01986802480514916, "second_distance": 0.025248813482063624, "unambiguous": true }, { "best_distance": 0.007950313687910507, "edge_kind": "map", "eigenfunction_mismatch": 0.00994843179407845, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j2", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.007950313687910507, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j1", "reverse_second_best_gap": 0.008203228592063253, "reverse_second_distance": 0.01615354227997376, "reverse_unambiguous": true, "second_best_gap": 0.005528614003376446, "second_distance": 0.013478927691286953, "unambiguous": true }, { "best_distance": 0.027291220099167384, "edge_kind": "map", "eigenfunction_mismatch": 0.3940656176741143, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j0", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0031873641312831166, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j0", "reverse_second_best_gap": 0.024103855967884266, "reverse_second_distance": 0.027291220099167384, "reverse_unambiguous": true, "second_best_gap": 0.004532186165835218, "second_distance": 0.0318234062650026, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.027291220099167384, "max_resolution_difference": 0.02859567442097545, "omega_imag": -0.030679992933473413, "omega_real": 1.8737565496099633e-12, "outgoing_phase_residual": 2.444607016816036e-13, "pencil_residual": 4.454007462938643e-15, "reference_difference": 0.3781895779634708, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.5027014606178171, "transformed_residual": 0.004486241948458367, "unfactored_residual": 0.15832942343871365 }, { "N": 40, "accepted": false, "branch_id": "branch-0285", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 6.062173631887796e-07, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.394483589021765e-10, "infinity_row_residual": 3.1438106454639796e-13, "ingoing_phase_residual": 2.2402225230422346e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.014363470116994237, "matching_checks": [ { "best_distance": 0.01750958484878673, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006118487361966407, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j1", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01750958484878673, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j2", "reverse_second_best_gap": 0.016875711581755173, "reverse_second_distance": 0.0343852964305419, "reverse_unambiguous": true, "second_best_gap": 0.053412452915984066, "second_distance": 0.0709220377647708, "unambiguous": true }, { "best_distance": 0.014702300847514144, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00414088064978646, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j3", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.014702300847514144, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j2", "reverse_second_best_gap": 0.022490279584300346, "reverse_second_distance": 0.03719258043181449, "reverse_unambiguous": true, "second_best_gap": 0.042573369108728956, "second_distance": 0.0572756699562431, "unambiguous": true }, { "best_distance": 0.03749254180200433, "edge_kind": "map", "eigenfunction_mismatch": 0.014363470116994237, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j3", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03749254180200433, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j2", "reverse_second_best_gap": 0.017677764155299383, "reverse_second_distance": 0.05517030595730371, "reverse_unambiguous": true, "second_best_gap": 0.0009234117860373522, "second_distance": 0.03841595358804168, "unambiguous": true }, { "best_distance": 0.020071475014326032, "edge_kind": "map", "eigenfunction_mismatch": 0.008353333696730858, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j1", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.020071475014326032, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j2", "reverse_second_best_gap": 0.01175193125067657, "reverse_second_distance": 0.0318234062650026, "reverse_unambiguous": true, "second_best_gap": 0.05911462636416999, "second_distance": 0.07918610137849602, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.03749254180200433, "max_resolution_difference": 0.01750958484878673, "omega_imag": -0.08257487421280205, "omega_real": 2.4238416936596776e-11, "outgoing_phase_residual": 9.08162434143378e-14, "pencil_residual": 3.841443348175558e-15, "reference_difference": 0.37372627299443806, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006118487361966407, "transformed_residual": 1.1652489798795389e-05, "unfactored_residual": 0.00024981127575202333 }, { "N": 40, "accepted": false, "branch_id": "branch-0286", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 5.4301911351783125e-09, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.36282012694607e-11, "infinity_row_residual": 7.246604226356014e-13, "ingoing_phase_residual": 5.016778383548638e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.012952290687391677, "matching_checks": [ { "best_distance": 0.02174080999453727, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015022110623121865, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j2", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02174080999453727, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j3", "reverse_second_best_gap": 0.049181227770233524, "reverse_second_distance": 0.0709220377647708, "reverse_unambiguous": true, "second_best_gap": 0.08843162261355748, "second_distance": 0.11017243260809476, "unambiguous": true }, { "best_distance": 0.0321839845163586, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0035954883390747483, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j4", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0321839845163586, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j3", "reverse_second_best_gap": 0.02829487872659086, "reverse_second_distance": 0.06047886324294946, "reverse_unambiguous": true, "second_best_gap": 0.057316486070008825, "second_distance": 0.08950047058636743, "unambiguous": true }, { "best_distance": 0.05517030595730371, "edge_kind": "map", "eigenfunction_mismatch": 0.012952290687391677, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j3", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.03749254180200433, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j2", "reverse_second_best_gap": 0.017677764155299383, "reverse_second_distance": 0.05517030595730371, "reverse_unambiguous": true, "second_best_gap": 0.03037708488867885, "second_distance": 0.08554739084598256, "unambiguous": true }, { "best_distance": 0.0022567585256398066, "edge_kind": "map", "eigenfunction_mismatch": 1.3813357334413467e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j2", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0022567585256398066, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j3", "reverse_second_best_gap": 0.08814933070802863, "reverse_second_distance": 0.09040608923366844, "reverse_unambiguous": true, "second_best_gap": 0.11047756424799425, "second_distance": 0.11273432277363406, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05517030595730371, "max_resolution_difference": 0.0321839845163586, "omega_imag": -0.17523772197211007, "omega_real": 1.2903945063595388e-09, "outgoing_phase_residual": 4.2799097599299785e-14, "pencil_residual": 3.1392437516513657e-15, "reference_difference": 0.38350224575714764, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0035954883390747483, "transformed_residual": 7.78301690070614e-08, "unfactored_residual": 5.258074452972639e-07 }, { "N": 40, "accepted": false, "branch_id": "branch-0287", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 2.9719607734178545e-11, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.8269043633896623e-11, "infinity_row_residual": 1.0555397227143136e-12, "ingoing_phase_residual": 4.757944817027639e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0020592365231555387, "matching_checks": [ { "best_distance": 0.09438849958147064, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001089992008310503, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j3", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.09438849958147064, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j4", "reverse_second_best_gap": 0.06423896158080511, "reverse_second_distance": 0.15862746116227575, "reverse_unambiguous": true, "second_best_gap": 0.08090283024291606, "second_distance": 0.1752913298243867, "unambiguous": true }, { "best_distance": 0.06405004924348658, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017687946184461456, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j5", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06405004924348658, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j4", "reverse_second_best_gap": 0.02545042134288085, "reverse_second_distance": 0.08950047058636743, "reverse_unambiguous": true, "second_best_gap": 0.0634505276590288, "second_distance": 0.12750057690251537, "unambiguous": true }, { "best_distance": 0.0680031289839061, "edge_kind": "map", "eigenfunction_mismatch": 0.0020592365231555387, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j5", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0680031289839061, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j4", "reverse_second_best_gap": 0.017544261862076457, "reverse_second_distance": 0.08554739084598256, "reverse_unambiguous": true, "second_best_gap": 0.11799005630524832, "second_distance": 0.18599318528915443, "unambiguous": true }, { "best_distance": 0.0646181627552408, "edge_kind": "map", "eigenfunction_mismatch": 0.0006455717426364638, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j3", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0646181627552408, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j4", "reverse_second_best_gap": 0.12377963516549242, "reverse_second_distance": 0.18839779792073322, "reverse_unambiguous": true, "second_best_gap": 0.09118911560025117, "second_distance": 0.15580727835549196, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0680031289839061, "max_resolution_difference": 0.09438849958147064, "omega_imag": -0.32878824180193467, "omega_real": 9.337260070227716e-08, "outgoing_phase_residual": 2.2815083156047885e-14, "pencil_residual": 2.328085921958171e-15, "reference_difference": 0.4440123115301974, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0017687946184461456, "transformed_residual": 3.6182103396573705e-10, "unfactored_residual": 8.602417489284739e-10 }, { "N": 40, "accepted": false, "branch_id": "branch-0288", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 1.5020858043850988e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.1498893338837085e-11, "infinity_row_residual": 7.278593840375891e-13, "ingoing_phase_residual": 1.127250788962168e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.000519124869358234, "matching_checks": [ { "best_distance": 0.15862746116227575, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0002460731641361624, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j3", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.09438849958147064, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j4", "reverse_second_best_gap": 0.06423896158080511, "reverse_second_distance": 0.15862746116227575, "reverse_unambiguous": true, "second_best_gap": 0.040707059438608084, "second_distance": 0.19933452060088383, "unambiguous": true }, { "best_distance": 0.12551538376718957, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010181113368801231, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j6", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.12551538376718957, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j5", "reverse_second_best_gap": 0.0019851931353258023, "reverse_second_distance": 0.12750057690251537, "reverse_unambiguous": true, "second_best_gap": 0.056596575054491616, "second_distance": 0.18211195882168119, "unambiguous": true }, { "best_distance": 0.0670227760342058, "edge_kind": "map", "eigenfunction_mismatch": 1.8030288912118664e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j4", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0670227760342058, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j5", "reverse_second_best_gap": 0.11897040925494863, "reverse_second_distance": 0.18599318528915443, "reverse_unambiguous": true, "second_best_gap": 0.06788832315513892, "second_distance": 0.1349110991893447, "unambiguous": true }, { "best_distance": 0.18839779792073322, "edge_kind": "map", "eigenfunction_mismatch": 0.000519124869358234, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j3", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0646181627552408, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j4", "reverse_second_best_gap": 0.12377963516549242, "reverse_second_distance": 0.18839779792073322, "reverse_unambiguous": true, "second_best_gap": 0.09177913063392382, "second_distance": 0.28017692855465703, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.18839779792073322, "max_resolution_difference": 0.15862746116227575, "omega_imag": -0.5818042021229329, "omega_real": 1.1591344911137284e-05, "outgoing_phase_residual": 1.2878587088226058e-14, "pencil_residual": 1.1748242336445806e-15, "reference_difference": 0.6184779625655563, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0002460731641361624, "transformed_residual": 5.594219184924624e-13, "unfactored_residual": 6.65325642743264e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0289", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 3.653169637349969e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.811623271781055e-13, "infinity_row_residual": 2.927983822499788e-13, "ingoing_phase_residual": 5.628663342656901e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00025638642679526313, "matching_checks": [ { "best_distance": 0.06573451249580378, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00021031303628837872, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j5", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.06107043437968414, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j7", "reverse_second_best_gap": 0.004664078116119644, "reverse_second_distance": 0.06573451249580378, "reverse_unambiguous": true, "second_best_gap": 0.13126002992028624, "second_distance": 0.19699454241609002, "unambiguous": true }, { "best_distance": 0.0453723460974096, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010660668053052991, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j8", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0453723460974096, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j6", "reverse_second_best_gap": 0.057437847360947134, "reverse_second_distance": 0.10281019345835674, "reverse_unambiguous": true, "second_best_gap": 0.15066760898652692, "second_distance": 0.19603995508393654, "unambiguous": true }, { "best_distance": 0.06103144183954467, "edge_kind": "map", "eigenfunction_mismatch": 0.00015057536634455193, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j7", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.06103144183954467, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j6", "reverse_second_best_gap": 0.03297739082755926, "reverse_second_distance": 0.09400883266710393, "reverse_unambiguous": true, "second_best_gap": 0.037435493282465905, "second_distance": 0.09846693512201057, "unambiguous": true }, { "best_distance": 0.07234408311610639, "edge_kind": "map", "eigenfunction_mismatch": 0.00025638642679526313, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j5", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.054569963812375576, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j7", "reverse_second_best_gap": 0.017774119303730816, "reverse_second_distance": 0.07234408311610639, "reverse_unambiguous": true, "second_best_gap": 0.09143504775649643, "second_distance": 0.16377913087260282, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07234408311610639, "max_resolution_difference": 0.06573451249580378, "omega_imag": -0.8907955129203514, "omega_real": 0.16366337242059004, "outgoing_phase_residual": 8.242050776258696e-15, "pencil_residual": 4.943437916088363e-16, "reference_difference": 0.8288787410052048, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00021031303628837872, "transformed_residual": 3.190820371158908e-14, "unfactored_residual": 1.0824972114798875e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0290", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 3.648486771744153e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.8256138070146146e-13, "infinity_row_residual": 3.304530967455918e-13, "ingoing_phase_residual": 4.7727829438602955e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00021762368948285982, "matching_checks": [ { "best_distance": 0.06107043437968414, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00026825653629503066, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j5", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06107043437968414, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j7", "reverse_second_best_gap": 0.004664078116119644, "reverse_second_distance": 0.06573451249580378, "reverse_unambiguous": true, "second_best_gap": 0.22371646970420828, "second_distance": 0.2847869040838924, "unambiguous": true }, { "best_distance": 0.10281019345835674, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0007712357138044412, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j8", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0453723460974096, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j6", "reverse_second_best_gap": 0.057437847360947134, "reverse_second_distance": 0.10281019345835674, "reverse_unambiguous": true, "second_best_gap": 0.18215798669558747, "second_distance": 0.2849681801539442, "unambiguous": true }, { "best_distance": 0.04352866253027675, "edge_kind": "map", "eigenfunction_mismatch": 0.00013134824359906094, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j8", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04352866253027675, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j7", "reverse_second_best_gap": 0.054938272591733825, "reverse_second_distance": 0.09846693512201057, "reverse_unambiguous": true, "second_best_gap": 0.05048017013682718, "second_distance": 0.09400883266710393, "unambiguous": true }, { "best_distance": 0.054569963812375576, "edge_kind": "map", "eigenfunction_mismatch": 0.00021762368948285982, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j5", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.054569963812375576, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j7", "reverse_second_best_gap": 0.017774119303730816, "reverse_second_distance": 0.07234408311610639, "reverse_unambiguous": true, "second_best_gap": 0.21022861625211156, "second_distance": 0.26479858006448714, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.054569963812375576, "max_resolution_difference": 0.10281019345835674, "omega_imag": -0.9897304430555257, "omega_real": 0.24296809315396647, "outgoing_phase_residual": 7.31742470503482e-15, "pencil_residual": 6.051356559116374e-16, "reference_difference": 0.9102014326778659, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0007712357138044412, "transformed_residual": 2.343658929260922e-14, "unfactored_residual": 9.829038123708729e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0291", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j8", "case": "schwarzschild", "coefficient_tail": 4.3347939356297465e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.225473369633206e-13, "infinity_row_residual": 5.341901042167757e-13, "ingoing_phase_residual": 7.188752307926622e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.199779034599118e-08, "matching_checks": [ { "best_distance": 0.00033754564578709813, "edge_kind": "resolution", "eigenfunction_mismatch": 2.483206362757784e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N36:c0.7:j6", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00033754564578709813, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j8", "reverse_second_best_gap": 0.2050981377480606, "reverse_second_distance": 0.20543568339384768, "reverse_unambiguous": true, "second_best_gap": 0.23196484515079738, "second_distance": 0.23230239079658446, "unambiguous": true }, { "best_distance": 0.0003781539695432682, "edge_kind": "resolution", "eigenfunction_mismatch": 3.115299762601609e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j9", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0003781539695432682, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j8", "reverse_second_best_gap": 0.20519789569767685, "reverse_second_distance": 0.20557604966722012, "reverse_unambiguous": true, "second_best_gap": 0.19184061333376717, "second_distance": 0.19221876730331044, "unambiguous": true }, { "best_distance": 0.0001858008254122316, "edge_kind": "map", "eigenfunction_mismatch": 7.515072453223581e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j9", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0001858008254122316, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j8", "reverse_second_best_gap": 0.20510338731053984, "reverse_second_distance": 0.20528918813595207, "reverse_unambiguous": true, "second_best_gap": 0.23211594594815152, "second_distance": 0.23230174677356374, "unambiguous": true }, { "best_distance": 0.0005328142569481295, "edge_kind": "map", "eigenfunction_mismatch": 6.199779034599118e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j6", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005328142569481295, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j8", "reverse_second_best_gap": 0.20504790135868395, "reverse_second_distance": 0.20558071561563207, "reverse_unambiguous": true, "second_best_gap": 0.2317701522974817, "second_distance": 0.23230296655442983, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005328142569481295, "max_resolution_difference": 0.0003781539695432682, "omega_imag": -0.7051541467583943, "omega_real": 0.25114314555940254, "outgoing_phase_residual": 9.921599231853723e-15, "pencil_residual": 8.253918626914701e-16, "reference_difference": 0.6282560111225083, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.115299762601609e-08, "transformed_residual": 3.698056909229793e-14, "unfactored_residual": 1.5115631062527577e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j9", "case": "schwarzschild", "coefficient_tail": 1.5956177670814187e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.541570854538065e-13, "infinity_row_residual": 1.1848131763818384e-12, "ingoing_phase_residual": 9.923076412746822e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.2779667041561424e-11, "matching_checks": [ { "best_distance": 5.460078741112927e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 4.028999356364693e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j7", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.460078741112927e-07, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j9", "reverse_second_best_gap": 0.20939950069107313, "reverse_second_distance": 0.20940004669894724, "reverse_unambiguous": true, "second_best_gap": 0.20939930822379949, "second_distance": 0.2093998542316736, "unambiguous": true }, { "best_distance": 1.2452088438276864e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1094237467877974e-14, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j10", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2452088438276864e-07, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j9", "reverse_second_best_gap": 0.20939967886000987, "reverse_second_distance": 0.20939980338089426, "reverse_unambiguous": true, "second_best_gap": 0.20939973016484245, "second_distance": 0.20939985468572683, "unambiguous": true }, { "best_distance": 9.266140019081327e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.1621814621776139e-12, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j10", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.266140019081327e-07, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j9", "reverse_second_best_gap": 0.2093997637492394, "reverse_second_distance": 0.20940069036324133, "reverse_unambiguous": true, "second_best_gap": 0.20939892726846482, "second_distance": 0.20939985388246674, "unambiguous": true }, { "best_distance": 4.105386122390034e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.2779667041561424e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j7", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.105386122390034e-06, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j9", "reverse_second_best_gap": 0.20939537729761312, "reverse_second_distance": 0.2093994826837355, "reverse_unambiguous": true, "second_best_gap": 0.20939574147404294, "second_distance": 0.20939984686016533, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.105386122390034e-06, "max_resolution_difference": 5.460078741112927e-07, "omega_imag": -0.4782766440329763, "omega_real": 0.3010539457617083, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 1.647765938926303e-15, "reference_difference": 0.39602901689337233, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.028999356364693e-13, "transformed_residual": 7.072165424619831e-14, "unfactored_residual": 2.970619875670706e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j10", "case": "schwarzschild", "coefficient_tail": 1.1522079642627105e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.0960174465426707e-12, "infinity_row_residual": 2.7195871599991003e-12, "ingoing_phase_residual": 1.0806778477722785e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.661338147750939e-16, "matching_checks": [ { "best_distance": 5.274881917449179e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j8", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.274881917449179e-10, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j10", "reverse_second_best_gap": 0.1869072702455827, "reverse_second_distance": 0.1869072707730709, "reverse_unambiguous": true, "second_best_gap": 0.18690726980207337, "second_distance": 0.18690727032956156, "unambiguous": true }, { "best_distance": 7.180894460594781e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j11", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.180894460594781e-10, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j10", "reverse_second_best_gap": 0.18690726963215282, "reverse_second_distance": 0.18690727035024227, "reverse_unambiguous": true, "second_best_gap": 0.18690726961159201, "second_distance": 0.18690727032968146, "unambiguous": true }, { "best_distance": 1.3527027081795843e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j11", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.3527027081795843e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j10", "reverse_second_best_gap": 0.18690726982813843, "reverse_second_distance": 0.18690727118084113, "reverse_unambiguous": true, "second_best_gap": 0.1869072689769058, "second_distance": 0.1869072703296085, "unambiguous": true }, { "best_distance": 7.98273458029957e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j8", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.98273458029957e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j10", "reverse_second_best_gap": 0.18690727024717738, "reverse_second_distance": 0.18690727822991196, "reverse_unambiguous": true, "second_best_gap": 0.18690726234847987, "second_distance": 0.18690727033121446, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.98273458029957e-09, "max_resolution_difference": 7.180894460594781e-10, "omega_imag": -0.27391487448497404, "omega_real": 0.3467109964300201, "outgoing_phase_residual": 1.695781629055634e-14, "pencil_residual": 3.168886098193245e-15, "reference_difference": 0.18690727032940552, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 2.3839887575923657e-13, "unfactored_residual": 1.0639680034855086e-13 }, { "N": 40, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N40:c0.7:j11", "case": "schwarzschild", "coefficient_tail": 8.52282496060815e-15, "failure_reasons": [], "horizon_row_residual": 5.332315865892002e-12, "infinity_row_residual": 4.662941132615519e-12, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 1.8852889692496302e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N36:c0.7:j9", "peer_configuration": [ "schwarzschild", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8852889692496302e-13, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j11", "reverse_second_best_gap": 0.18690727032937304, "reverse_second_distance": 0.18690727032956156, "reverse_unambiguous": true, "second_best_gap": 0.18690727077288238, "second_distance": 0.1869072707730709, "unambiguous": true }, { "best_distance": 6.345358705540829e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j12", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.345358705540829e-13, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j11", "reverse_second_best_gap": 0.18690727032904692, "reverse_second_distance": 0.18690727032968146, "reverse_unambiguous": true, "second_best_gap": 0.18690727034960772, "second_distance": 0.18690727035024227, "unambiguous": true }, { "best_distance": 3.5358071936295427e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j12", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.5358071936295427e-13, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j11", "reverse_second_best_gap": 0.18690727032925492, "reverse_second_distance": 0.1869072703296085, "reverse_unambiguous": true, "second_best_gap": 0.18690727118048756, "second_distance": 0.18690727118084113, "unambiguous": true }, { "best_distance": 1.6999197910465336e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j9", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.6999197910465336e-12, "reverse_nearest_candidate_id": "schwarzschild:N40:c0.7:j11", "reverse_second_best_gap": 0.18690727032951454, "reverse_second_distance": 0.18690727033121446, "reverse_unambiguous": true, "second_best_gap": 0.18690727822821204, "second_distance": 0.18690727822991196, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.6999197910465336e-12, "max_resolution_difference": 6.345358705540829e-13, "omega_imag": -0.0889623156888684, "omega_real": 0.37367168441833665, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 3.5362737782914625e-15, "reference_difference": 3.02402166862663e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 5.371186776342226e-13, "unfactored_residual": 4.587325728710068e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0292", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 5.1268256930915045e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.205767774829582e-09, "infinity_row_residual": 1.6107949076159503e-12, "ingoing_phase_residual": 1.8218185329071934e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.014582963442351549, "matching_checks": [ { "best_distance": 0.01601095746965863, "edge_kind": "resolution", "eigenfunction_mismatch": 0.022169732386983054, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j0", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.005418283909538829, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j2", "reverse_second_best_gap": 0.010592673560119802, "reverse_second_distance": 0.01601095746965863, "reverse_unambiguous": true, "second_best_gap": 0.034215488194052554, "second_distance": 0.050226445663711185, "unambiguous": true }, { "best_distance": 0.018091512385233717, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012881473147289046, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j2", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.018091512385233717, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j0", "reverse_second_best_gap": 0.02142924137919746, "reverse_second_distance": 0.03952075376443118, "reverse_unambiguous": true, "second_best_gap": 0.007324155914731893, "second_distance": 0.02541566829996561, "unambiguous": true }, { "best_distance": 0.013478927691286953, "edge_kind": "map", "eigenfunction_mismatch": 0.014582963442351549, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j1", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.007950313687910507, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j2", "reverse_second_best_gap": 0.005528614003376446, "reverse_second_distance": 0.013478927691286953, "reverse_unambiguous": true, "second_best_gap": 0.024103855967884266, "second_distance": 0.03758278365917122, "unambiguous": true }, { "best_distance": 0.01834447857371565, "edge_kind": "map", "eigenfunction_mismatch": 0.013183263237974696, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j1", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.01834447857371565, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j0", "reverse_second_best_gap": 0.02142924137919746, "reverse_second_distance": 0.03977371995291311, "reverse_unambiguous": true, "second_best_gap": 0.022425669216738692, "second_distance": 0.04077014779045434, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01834447857371565, "max_resolution_difference": 0.018091512385233717, "omega_imag": -0.044158920624760366, "omega_real": 2.1194572120874169e-13, "outgoing_phase_residual": 1.6985024497984114e-13, "pencil_residual": 3.757309839683513e-14, "reference_difference": 0.37634807285933436, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.022169732386983054, "transformed_residual": 0.0020250518715236505, "unfactored_residual": 0.07699713101869522 }, { "N": 40, "accepted": false, "branch_id": "branch-0293", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 0.20835268418214528, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.150059244373937e-09, "infinity_row_residual": 2.427296723064578e-13, "ingoing_phase_residual": 1.5672650503176927e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.13251916821331333, "matching_checks": [ { "best_distance": 0.02573278851083857, "edge_kind": "resolution", "eigenfunction_mismatch": 0.4521139683896991, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j0", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.005418283909538829, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j2", "reverse_second_best_gap": 0.010592673560119802, "reverse_second_distance": 0.01601095746965863, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.09197019164420839, "unambiguous": true }, { "best_distance": 0.005362828956788676, "edge_kind": "resolution", "eigenfunction_mismatch": 0.16495579266034233, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j1", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005362828956788676, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j1", "reverse_second_best_gap": 0.009588846687722388, "reverse_second_distance": 0.014951675644511064, "reverse_unambiguous": true, "second_best_gap": 0.010965248723742913, "second_distance": 0.01632807768053159, "unambiguous": true }, { "best_distance": 0.004160962321325979, "edge_kind": "map", "eigenfunction_mismatch": 0.13251916821331333, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j0", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004160962321325979, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j1", "reverse_second_best_gap": 0.01199257995864778, "reverse_second_distance": 0.01615354227997376, "reverse_unambiguous": true, "second_best_gap": 0.024103855967884266, "second_distance": 0.028264818289210247, "unambiguous": true }, { "best_distance": 0.0009735981900428625, "edge_kind": "map", "eigenfunction_mismatch": 0.0614219432026919, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j0", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0009735981900428625, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j1", "reverse_second_best_gap": 0.018367308221214015, "reverse_second_distance": 0.019340906411256877, "reverse_unambiguous": true, "second_best_gap": 0.05911462636416999, "second_distance": 0.06008822455421285, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004160962321325979, "max_resolution_difference": 0.02573278851083857, "omega_imag": -0.002415174644263166, "omega_real": 3.160242206500072e-13, "outgoing_phase_residual": 3.1053987506468594e-12, "pencil_residual": 1.8011920250974579e-13, "reference_difference": 0.38356346979161987, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.4521139683896991, "transformed_residual": 0.9998872890037709, "unfactored_residual": 0.9883644822967603 }, { "N": 40, "accepted": false, "branch_id": "branch-0294", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 0.0005838101483641416, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.564069108481605e-08, "infinity_row_residual": 1.125447821209262e-12, "ingoing_phase_residual": 1.658851025120034e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.3249390757579941, "matching_checks": [ { "best_distance": 0.005418283909538829, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0050756933748371535, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j0", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005418283909538829, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j2", "reverse_second_best_gap": 0.010592673560119802, "reverse_second_distance": 0.01601095746965863, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.07165568704290864, "unambiguous": true }, { "best_distance": 0.0039864269207681505, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004132229662557885, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j0", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0039864269207681505, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j2", "reverse_second_best_gap": 0.012341650759763439, "reverse_second_distance": 0.01632807768053159, "reverse_unambiguous": true, "second_best_gap": 0.010965248723742913, "second_distance": 0.014951675644511064, "unambiguous": true }, { "best_distance": 0.007950313687910507, "edge_kind": "map", "eigenfunction_mismatch": 0.00994843179407845, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j1", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007950313687910507, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j2", "reverse_second_best_gap": 0.005528614003376446, "reverse_second_distance": 0.013478927691286953, "reverse_unambiguous": true, "second_best_gap": 0.008203228592063253, "second_distance": 0.01615354227997376, "unambiguous": true }, { "best_distance": 0.019340906411256877, "edge_kind": "map", "eigenfunction_mismatch": 0.3249390757579941, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j0", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0009735981900428625, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j1", "reverse_second_best_gap": 0.018367308221214015, "reverse_second_distance": 0.019340906411256877, "reverse_unambiguous": true, "second_best_gap": 0.02043281354165623, "second_distance": 0.03977371995291311, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.019340906411256877, "max_resolution_difference": 0.005418283909538829, "omega_imag": -0.022729679245562906, "omega_real": 8.843670668714226e-13, "outgoing_phase_residual": 3.2996522181250043e-13, "pencil_residual": 5.965857374462419e-14, "reference_difference": 0.37949609993436784, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0050756933748371535, "transformed_residual": 0.09135029007935071, "unfactored_residual": 0.9817215383633401 }, { "N": 40, "accepted": false, "branch_id": "branch-0295", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 4.0907033551772157e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.7227446928484493e-10, "infinity_row_residual": 3.054735577427166e-12, "ingoing_phase_residual": 2.886716050504168e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.014363470116994237, "matching_checks": [ { "best_distance": 0.025682049726334824, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005900406843315831, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j1", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.025682049726334824, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j3", "reverse_second_best_gap": 0.02454439593737636, "reverse_second_distance": 0.050226445663711185, "reverse_unambiguous": true, "second_best_gap": 0.06623740313336982, "second_distance": 0.09191945285970464, "unambiguous": true }, { "best_distance": 0.026646162853882868, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003830349463929128, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j3", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.026646162853882868, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j3", "reverse_second_best_gap": 0.075908495390046, "reverse_second_distance": 0.10255465824392887, "reverse_unambiguous": true, "second_best_gap": 0.031170820150929424, "second_distance": 0.05781698300481229, "unambiguous": true }, { "best_distance": 0.03749254180200433, "edge_kind": "map", "eigenfunction_mismatch": 0.014363470116994237, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j2", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03749254180200433, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j3", "reverse_second_best_gap": 0.0009234117860373522, "reverse_second_distance": 0.03841595358804168, "reverse_unambiguous": true, "second_best_gap": 0.017677764155299383, "second_distance": 0.05517030595730371, "unambiguous": true }, { "best_distance": 0.05291354743166411, "edge_kind": "map", "eigenfunction_mismatch": 0.012131223357702559, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j2", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05291354743166411, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j3", "reverse_second_best_gap": 0.034890601939958035, "reverse_second_distance": 0.08780414937162215, "reverse_unambiguous": true, "second_best_gap": 0.004650469384666248, "second_distance": 0.05756401681633036, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05291354743166411, "max_resolution_difference": 0.026646162853882868, "omega_imag": -0.12006741601480637, "omega_real": 5.2165532837431746e-12, "outgoing_phase_residual": 6.246392292297287e-14, "pencil_residual": 2.0339755564319526e-14, "reference_difference": 0.37496407160980183, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.005900406843315831, "transformed_residual": 6.647876580048706e-06, "unfactored_residual": 9.270163511317419e-05 }, { "N": 40, "accepted": false, "branch_id": "branch-0296", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 3.676480499397583e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.5447105259182252e-10, "infinity_row_residual": 7.196478213912836e-13, "ingoing_phase_residual": 1.4136542270115626e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0004117237373003624, "matching_checks": [ { "best_distance": 0.031850661904253535, "edge_kind": "resolution", "eigenfunction_mismatch": 9.709736145113723e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j3", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.031850661904253535, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j4", "reverse_second_best_gap": 0.19029499046451973, "reverse_second_distance": 0.22214565236877326, "reverse_unambiguous": true, "second_best_gap": 0.25514547121308584, "second_distance": 0.28699613311733935, "unambiguous": true }, { "best_distance": 0.22090539653475544, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004304670330306126, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j4", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.033090917738217596, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j5", "reverse_second_best_gap": 0.14071769680328627, "reverse_second_distance": 0.17380861454150387, "reverse_unambiguous": true, "second_best_gap": 0.031305148199466115, "second_distance": 0.25221054473422155, "unambiguous": true }, { "best_distance": 0.0670227760342058, "edge_kind": "map", "eigenfunction_mismatch": 1.8030288912118664e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j5", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0670227760342058, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j4", "reverse_second_best_gap": 0.06788832315513892, "reverse_second_distance": 0.1349110991893447, "reverse_unambiguous": true, "second_best_gap": 0.11897040925494863, "second_distance": 0.18599318528915443, "unambiguous": true }, { "best_distance": 0.12137502253392751, "edge_kind": "map", "eigenfunction_mismatch": 0.0004117237373003624, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j3", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.12137502253392751, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j4", "reverse_second_best_gap": 0.011246269205123643, "reverse_second_distance": 0.13262129173905116, "reverse_unambiguous": true, "second_best_gap": 0.1818803408083518, "second_distance": 0.3032553633422793, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.12137502253392751, "max_resolution_difference": 0.22090539653475544, "omega_imag": -0.5147814270910657, "omega_real": 1.1090830661644395e-11, "outgoing_phase_residual": 1.454392162258955e-14, "pencil_residual": 1.372899670910112e-15, "reference_difference": 0.5665266484136713, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004304670330306126, "transformed_residual": 3.586853359942768e-11, "unfactored_residual": 5.155809545150136e-11 }, { "N": 40, "accepted": false, "branch_id": "branch-0297", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 2.0771583932391656e-09, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.102753009963101e-11, "infinity_row_residual": 3.281511918599492e-12, "ingoing_phase_residual": 3.4769097099207613e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.01119227482730567, "matching_checks": [ { "best_distance": 0.03299981884436631, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010206164817629926, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j2", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03299981884436631, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j5", "reverse_second_best_gap": 0.07471805911455363, "reverse_second_distance": 0.10771787795891995, "reverse_unambiguous": true, "second_best_gap": 0.13339992768525477, "second_distance": 0.16639974652962108, "unambiguous": true }, { "best_distance": 0.033090917738217596, "edge_kind": "resolution", "eigenfunction_mismatch": 0.000626147987746184, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j4", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.033090917738217596, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j5", "reverse_second_best_gap": 0.14071769680328627, "reverse_second_distance": 0.17380861454150387, "reverse_unambiguous": true, "second_best_gap": 0.0809806162111858, "second_distance": 0.11407153394940339, "unambiguous": true }, { "best_distance": 0.0680031289839061, "edge_kind": "map", "eigenfunction_mismatch": 0.0020592365231555387, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j4", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0680031289839061, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j5", "reverse_second_best_gap": 0.11799005630524832, "reverse_second_distance": 0.18599318528915443, "reverse_unambiguous": true, "second_best_gap": 0.017544261862076457, "second_distance": 0.08554739084598256, "unambiguous": true }, { "best_distance": 0.08780414937162215, "edge_kind": "map", "eigenfunction_mismatch": 0.01119227482730567, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j2", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.05291354743166411, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j3", "reverse_second_best_gap": 0.034890601939958035, "reverse_second_distance": 0.08780414937162215, "reverse_unambiguous": true, "second_best_gap": 0.04481714236742901, "second_distance": 0.13262129173905116, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.08780414937162215, "max_resolution_difference": 0.033090917738217596, "omega_imag": -0.26078511281809263, "omega_real": 2.6618877392877706e-11, "outgoing_phase_residual": 2.881028748902281e-14, "pencil_residual": 9.194814548846598e-15, "reference_difference": 0.41128287264267477, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0010206164817629926, "transformed_residual": 2.845392950284819e-08, "unfactored_residual": 1.0813659056554211e-07 }, { "N": 40, "accepted": false, "branch_id": "branch-0298", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 1.4845597320708476e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.779610840000139e-11, "infinity_row_residual": 9.101704397469293e-13, "ingoing_phase_residual": 7.998754447680057e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0006184871853837093, "matching_checks": [ { "best_distance": 0.23378453562747475, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0002292491485625936, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j3", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.031850661904253535, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j4", "reverse_second_best_gap": 0.19029499046451973, "reverse_second_distance": 0.22214565236877326, "reverse_unambiguous": true, "second_best_gap": 0.0179236506923639, "second_distance": 0.25170818631983866, "unambiguous": true }, { "best_distance": 0.05027667101095967, "edge_kind": "resolution", "eigenfunction_mismatch": 4.72053428128838e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j5", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05027667101095967, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j6", "reverse_second_best_gap": 0.1920295136612884, "reverse_second_distance": 0.24230618467224807, "reverse_unambiguous": true, "second_best_gap": 0.05816827651880507, "second_distance": 0.10844494752976475, "unambiguous": true }, { "best_distance": 0.1349110991893447, "edge_kind": "map", "eigenfunction_mismatch": 0.00016323285225350315, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j5", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0670227760342058, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j4", "reverse_second_best_gap": 0.06788832315513892, "reverse_second_distance": 0.1349110991893447, "reverse_unambiguous": true, "second_best_gap": 0.10402324263022153, "second_distance": 0.23893434181956624, "unambiguous": true }, { "best_distance": 0.16771212592911242, "edge_kind": "map", "eigenfunction_mismatch": 0.0006184871853837093, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j4", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.16771212592911242, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j6", "reverse_second_best_gap": 0.003085122408273744, "reverse_second_distance": 0.17079724833738616, "reverse_unambiguous": true, "second_best_gap": 0.08421257073279173, "second_distance": 0.25192469666190415, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16771212592911242, "max_resolution_difference": 0.23378453562747475, "omega_imag": -0.7167153008143275, "omega_real": 5.563152514655072e-11, "outgoing_phase_residual": 1.0325074129013956e-14, "pencil_residual": 1.774596265723629e-15, "reference_difference": 0.7305507087314892, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0002292491485625936, "transformed_residual": 5.730593150012256e-13, "unfactored_residual": 5.943401381805443e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0299", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 9.349027631757089e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.7120793728981204e-12, "infinity_row_residual": 1.9646033049801825e-12, "ingoing_phase_residual": 5.171649359086644e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.00015057536634455193, "matching_checks": [ { "best_distance": 0.04958439680701659, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00011730203314741505, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j4", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.03716372177182688, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.012420675035189711, "reverse_second_distance": 0.04958439680701659, "reverse_unambiguous": true, "second_best_gap": 0.21408293213450452, "second_distance": 0.2636673289415211, "unambiguous": true }, { "best_distance": 0.07881248725692505, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0003390694243842196, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j7", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.06776435101293, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.011048136243995046, "reverse_second_distance": 0.07881248725692505, "reverse_unambiguous": true, "second_best_gap": 0.12276627164029646, "second_distance": 0.20157875889722152, "unambiguous": true }, { "best_distance": 0.06103144183954467, "edge_kind": "map", "eigenfunction_mismatch": 0.00015057536634455193, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j6", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06103144183954467, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j7", "reverse_second_best_gap": 0.037435493282465905, "reverse_second_distance": 0.09846693512201057, "reverse_unambiguous": true, "second_best_gap": 0.03297739082755926, "second_distance": 0.09400883266710393, "unambiguous": true }, { "best_distance": 0.04974078164621169, "edge_kind": "map", "eigenfunction_mismatch": 0.00011812396880828135, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j5", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.034049083702439156, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.015691697943772537, "reverse_second_distance": 0.04974078164621169, "reverse_unambiguous": true, "second_best_gap": 0.12105646669117447, "second_distance": 0.17079724833738616, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.06103144183954467, "max_resolution_difference": 0.07881248725692505, "omega_imag": -0.9514725922723021, "omega_real": 0.15709611010431201, "outgoing_phase_residual": 7.766206466633898e-15, "pencil_residual": 4.206081823796893e-15, "reference_difference": 0.8892856439869233, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0003390694243842196, "transformed_residual": 3.8339238570471815e-14, "unfactored_residual": 2.30711381988355e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0300", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j8", "case": "schwarzschild", "coefficient_tail": 8.523425188263004e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.05937949728965e-12, "infinity_row_residual": 2.0604026391687104e-12, "ingoing_phase_residual": 4.894873821036092e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.00013134824359906094, "matching_checks": [ { "best_distance": 0.03716372177182688, "edge_kind": "resolution", "eigenfunction_mismatch": 7.826549237810454e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j4", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03716372177182688, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.012420675035189711, "reverse_second_distance": 0.04958439680701659, "reverse_unambiguous": true, "second_best_gap": 0.2445736183710569, "second_distance": 0.28173734014288376, "unambiguous": true }, { "best_distance": 0.06776435101293, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00030195262271170975, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j7", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.06776435101293, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.011048136243995046, "reverse_second_distance": 0.07881248725692505, "reverse_unambiguous": true, "second_best_gap": 0.18663567539040504, "second_distance": 0.25440002640333503, "unambiguous": true }, { "best_distance": 0.04352866253027675, "edge_kind": "map", "eigenfunction_mismatch": 0.00013134824359906094, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j7", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04352866253027675, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.05048017013682718, "reverse_second_distance": 0.09400883266710393, "reverse_unambiguous": true, "second_best_gap": 0.054938272591733825, "second_distance": 0.09846693512201057, "unambiguous": true }, { "best_distance": 0.034049083702439156, "edge_kind": "map", "eigenfunction_mismatch": 6.57967357947653e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j5", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.034049083702439156, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j8", "reverse_second_best_gap": 0.015691697943772537, "reverse_second_distance": 0.04974078164621169, "reverse_unambiguous": true, "second_best_gap": 0.18867188103736848, "second_distance": 0.22272096473980765, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.04352866253027675, "max_resolution_difference": 0.06776435101293, "omega_imag": -0.982280147398611, "omega_real": 0.20008176017597362, "outgoing_phase_residual": 7.479187793386284e-15, "pencil_residual": 4.4826307299101605e-15, "reference_difference": 0.9100275876306403, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00030195262271170975, "transformed_residual": 3.609079022297015e-14, "unfactored_residual": 2.1607666413106725e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0301", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j9", "case": "schwarzschild", "coefficient_tail": 7.595732876774593e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.6164330232415133e-12, "infinity_row_residual": 1.8989398821129377e-12, "ingoing_phase_residual": 7.18738231594772e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.9167066650792606e-08, "matching_checks": [ { "best_distance": 0.00015495417752601522, "edge_kind": "resolution", "eigenfunction_mismatch": 5.2379450776740555e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.0:j5", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00015495417752601522, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j9", "reverse_second_best_gap": 0.23218971238357206, "reverse_second_distance": 0.23234466656109806, "reverse_unambiguous": true, "second_best_gap": 0.23211807833403725, "second_distance": 0.23227303251156325, "unambiguous": true }, { "best_distance": 0.0005146476952197997, "edge_kind": "resolution", "eigenfunction_mismatch": 5.807316738604129e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j8", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005146476952197997, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j9", "reverse_second_best_gap": 0.23168140790963668, "reverse_second_distance": 0.23219605560485648, "reverse_unambiguous": true, "second_best_gap": 0.2168357391216575, "second_distance": 0.2173503868168773, "unambiguous": true }, { "best_distance": 0.0001858008254122316, "edge_kind": "map", "eigenfunction_mismatch": 7.515072453223581e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j8", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0001858008254122316, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j9", "reverse_second_best_gap": 0.23211594594815152, "reverse_second_distance": 0.23230174677356374, "reverse_unambiguous": true, "second_best_gap": 0.20510338731053984, "second_distance": 0.20528918813595207, "unambiguous": true }, { "best_distance": 0.00036512997653419607, "edge_kind": "map", "eigenfunction_mismatch": 2.9167066650792606e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j6", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00036512997653419607, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j9", "reverse_second_best_gap": 0.2316733598057507, "reverse_second_distance": 0.23203848978228492, "reverse_unambiguous": true, "second_best_gap": 0.23190926646818913, "second_distance": 0.23227439644472334, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00036512997653419607, "max_resolution_difference": 0.0005146476952197997, "omega_imag": -0.7051656123332366, "omega_real": 0.2513285922830657, "outgoing_phase_residual": 1.0026026987065696e-14, "pencil_residual": 3.4070590389375325e-15, "reference_difference": 0.6282311159027796, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.807316738604129e-08, "transformed_residual": 6.127603479522933e-14, "unfactored_residual": 4.644612803509279e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j10", "case": "schwarzschild", "coefficient_tail": 2.0099061711128864e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 9.998967444665441e-13, "infinity_row_residual": 3.116878973133237e-12, "ingoing_phase_residual": 9.923076729997502e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.035882573636627e-11, "matching_checks": [ { "best_distance": 1.7811928316341134e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 4.289568700244217e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j6", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.7811928316341134e-06, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j10", "reverse_second_best_gap": 0.2093990424516932, "reverse_second_distance": 0.20940082364452484, "reverse_unambiguous": true, "second_best_gap": 0.2093989111763233, "second_distance": 0.20940069236915496, "unambiguous": true }, { "best_distance": 2.428199147228707e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.971401316808624e-14, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j9", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.428199147228707e-07, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j10", "reverse_second_best_gap": 0.20940063169843576, "reverse_second_distance": 0.2094008745183505, "reverse_unambiguous": true, "second_best_gap": 0.20940044659637994, "second_distance": 0.20940068941629467, "unambiguous": true }, { "best_distance": 9.266140019081327e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.1619594175726888e-12, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j9", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.266140019081327e-07, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j10", "reverse_second_best_gap": 0.20939892726846482, "reverse_second_distance": 0.20939985388246674, "reverse_unambiguous": true, "second_best_gap": 0.2093997637492394, "second_distance": 0.20940069036324133, "unambiguous": true }, { "best_distance": 3.880944755197942e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.035882573636627e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j7", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.880944755197942e-06, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j10", "reverse_second_best_gap": 0.20939560096889356, "reverse_second_distance": 0.20939948191364877, "reverse_unambiguous": true, "second_best_gap": 0.20939680162607963, "second_distance": 0.20940068257083483, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.880944755197942e-06, "max_resolution_difference": 1.7811928316341134e-06, "omega_imag": -0.4782773723663235, "omega_real": 0.3010533729231238, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 4.805981141951228e-15, "reference_difference": 0.39602983791640073, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.289568700244217e-12, "transformed_residual": 1.0356758658002216e-13, "unfactored_residual": 1.0097721543059414e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j11", "case": "schwarzschild", "coefficient_tail": 1.721971906708804e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.8848114103299845e-12, "infinity_row_residual": 6.388131481872818e-12, "ingoing_phase_residual": 1.0806778445989164e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.661338147750939e-16, "matching_checks": [ { "best_distance": 2.8027558181819136e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j7", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.8027558181819136e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j11", "reverse_second_best_gap": 0.1869072656389333, "reverse_second_distance": 0.18690726844168912, "reverse_unambiguous": true, "second_best_gap": 0.186907268377622, "second_distance": 0.1869072711803778, "unambiguous": true }, { "best_distance": 5.858080526652034e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j10", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.858080526652034e-10, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j11", "reverse_second_best_gap": 0.1869072707295928, "reverse_second_distance": 0.18690727131540083, "reverse_unambiguous": true, "second_best_gap": 0.18690727059496237, "second_distance": 0.1869072711807704, "unambiguous": true }, { "best_distance": 1.3527027081795843e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j10", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.3527027081795843e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j11", "reverse_second_best_gap": 0.1869072689769058, "reverse_second_distance": 0.1869072703296085, "reverse_unambiguous": true, "second_best_gap": 0.18690726982813843, "second_distance": 0.18690727118084113, "unambiguous": true }, { "best_distance": 7.049675969110308e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j8", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.049675969110308e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j11", "reverse_second_best_gap": 0.18690727118032985, "reverse_second_distance": 0.18690727823000583, "reverse_unambiguous": true, "second_best_gap": 0.18690726413286501, "second_distance": 0.186907271182541, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.049675969110308e-09, "max_resolution_difference": 2.8027558181819136e-09, "omega_imag": -0.27391487547903076, "omega_real": 0.34671099734743815, "outgoing_phase_residual": 1.6967262834264224e-14, "pencil_residual": 7.539991999585012e-15, "reference_difference": 0.18690727118073205, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.37940271820481e-13, "unfactored_residual": 2.3282791077038643e-13 }, { "N": 40, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.0:j12", "case": "schwarzschild", "coefficient_tail": 1.6432758759526123e-14, "failure_reasons": [], "horizon_row_residual": 5.135293670407901e-12, "infinity_row_residual": 1.1821581529599103e-11, "ingoing_phase_residual": 9.235201441963224e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 7.063178634714859e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.0:j8", "peer_configuration": [ "schwarzschild", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.063178634714859e-13, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j12", "reverse_second_best_gap": 0.18690727117967149, "reverse_second_distance": 0.1869072711803778, "reverse_unambiguous": true, "second_best_gap": 0.1869072684409828, "second_distance": 0.18690726844168912, "unambiguous": true }, { "best_distance": 1.9517999875883483e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j11", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9517999875883483e-13, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j12", "reverse_second_best_gap": 0.18690727118057524, "reverse_second_distance": 0.1869072711807704, "reverse_unambiguous": true, "second_best_gap": 0.18690727131520565, "second_distance": 0.18690727131540083, "unambiguous": true }, { "best_distance": 3.5358071936295427e-13, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j11", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.5358071936295427e-13, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j12", "reverse_second_best_gap": 0.18690727118048756, "reverse_second_distance": 0.18690727118084113, "reverse_unambiguous": true, "second_best_gap": 0.18690727032925492, "second_distance": 0.1869072703296085, "unambiguous": true }, { "best_distance": 1.6455578709227703e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j9", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.6455578709227703e-12, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.0:j12", "reverse_second_best_gap": 0.18690727118089545, "reverse_second_distance": 0.186907271182541, "reverse_unambiguous": true, "second_best_gap": 0.18690727822836029, "second_distance": 0.18690727823000583, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.6455578709227703e-12, "max_resolution_difference": 7.063178634714859e-13, "omega_imag": -0.08896231568872637, "omega_real": 0.37367168441801285, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 7.919221244421651e-15, "reference_difference": 2.1132859054754851e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 9.841268561418409e-13, "unfactored_residual": 6.070016683326614e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0302", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.20718405125932593, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.425019051807952e-11, "infinity_row_residual": 1.8104968529993683e-14, "ingoing_phase_residual": 1.6162342313975897e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.07422111200768444, "matching_checks": [ { "best_distance": 0.013008333234229539, "edge_kind": "resolution", "eigenfunction_mismatch": 0.25004914811542533, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j0", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.013008333234229539, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j0", "reverse_second_best_gap": 0.033097959895710904, "reverse_second_distance": 0.04610629312994045, "reverse_unambiguous": true, "second_best_gap": 0.061447913453359426, "second_distance": 0.07445624668758896, "unambiguous": true }, { "best_distance": 0.007536936316969566, "edge_kind": "resolution", "eigenfunction_mismatch": 0.1630688466586515, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j0", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007536936316969566, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j0", "reverse_second_best_gap": 0.04404075373023085, "reverse_second_distance": 0.05157769004720042, "reverse_unambiguous": true, "second_best_gap": 0.07741403648777043, "second_distance": 0.08495097280474, "unambiguous": true }, { "best_distance": 0.0031873641312831166, "edge_kind": "map", "eigenfunction_mismatch": 0.07422111200768444, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j0", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0031873641312831166, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j0", "reverse_second_best_gap": 0.052739898101603754, "reverse_second_distance": 0.05592726223288687, "reverse_unambiguous": true, "second_best_gap": 0.024103855967884266, "second_distance": 0.027291220099167384, "unambiguous": true }, { "best_distance": 0.0009735981900428625, "edge_kind": "map", "eigenfunction_mismatch": 0.0614219432026919, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j1", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0009735981900428625, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j0", "reverse_second_best_gap": 0.05911462636416999, "reverse_second_distance": 0.06008822455421285, "reverse_unambiguous": true, "second_best_gap": 0.018367308221214015, "second_distance": 0.019340906411256877, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0031873641312831166, "max_resolution_difference": 0.013008333234229539, "omega_imag": -0.0033887728343060283, "omega_real": 2.1093199591628318e-14, "outgoing_phase_residual": 2.213207048185062e-12, "pencil_residual": 7.328104168824186e-15, "reference_difference": 0.3833449608022701, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.25004914811542533, "transformed_residual": 0.9999745625547928, "unfactored_residual": 1.0 }, { "N": 40, "accepted": false, "branch_id": "branch-0303", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 4.3036955210280854e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.529034894616417e-10, "infinity_row_residual": 6.435464938417374e-13, "ingoing_phase_residual": 2.00021913795978e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.013183263237974696, "matching_checks": [ { "best_distance": 0.015341620323418972, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0052161352458913735, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j1", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.015341620323418972, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j1", "reverse_second_best_gap": 0.05911462636416999, "reverse_second_distance": 0.07445624668758896, "reverse_unambiguous": true, "second_best_gap": 0.030764672806521474, "second_distance": 0.04610629312994045, "unambiguous": true }, { "best_distance": 0.025836346440570007, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012803431801085008, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j1", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.025836346440570007, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j1", "reverse_second_best_gap": 0.05880487136685446, "reverse_second_distance": 0.08464121780742447, "reverse_unambiguous": true, "second_best_gap": 0.025741343606630412, "second_distance": 0.05157769004720042, "unambiguous": true }, { "best_distance": 0.020071475014326032, "edge_kind": "map", "eigenfunction_mismatch": 0.008353333696730969, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j2", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.020071475014326032, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j1", "reverse_second_best_gap": 0.05911462636416999, "reverse_second_distance": 0.07918610137849602, "reverse_unambiguous": true, "second_best_gap": 0.01175193125067657, "second_distance": 0.0318234062650026, "unambiguous": true }, { "best_distance": 0.01834447857371565, "edge_kind": "map", "eigenfunction_mismatch": 0.013183263237974696, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j0", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01834447857371565, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j1", "reverse_second_best_gap": 0.022425669216738692, "reverse_second_distance": 0.04077014779045434, "reverse_unambiguous": true, "second_best_gap": 0.02142924137919746, "second_distance": 0.03977371995291311, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.020071475014326032, "max_resolution_difference": 0.025836346440570007, "omega_imag": -0.06250339919847601, "omega_real": 4.470746738397157e-12, "outgoing_phase_residual": 1.2001510896197942e-13, "pencil_residual": 8.174947581096946e-15, "reference_difference": 0.3746072636699996, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012803431801085008, "transformed_residual": 0.0011645526907481808, "unfactored_residual": 0.03744856744085049 }, { "N": 40, "accepted": false, "branch_id": "branch-0304", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 2.3310495430993432e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.670119287299748e-11, "infinity_row_residual": 1.206006107767541e-12, "ingoing_phase_residual": 4.86979460562198e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.012131223357702559, "matching_checks": [ { "best_distance": 0.046321123509965395, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004168696707819497, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.046321123509965395, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j2", "reverse_second_best_gap": 0.11047756424799446, "reverse_second_distance": 0.15679868775795985, "reverse_unambiguous": true, "second_best_gap": 0.048814820414610105, "second_distance": 0.0951359439245755, "unambiguous": true }, { "best_distance": 0.03937131032862257, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003168563556723014, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j2", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03937131032862257, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j2", "reverse_second_best_gap": 0.11047756424799449, "reverse_second_distance": 0.14984887457661705, "reverse_unambiguous": true, "second_best_gap": 0.04526990747880189, "second_distance": 0.08464121780742447, "unambiguous": true }, { "best_distance": 0.0022567585256398066, "edge_kind": "map", "eigenfunction_mismatch": 1.3813357334413467e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j3", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0022567585256398066, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j2", "reverse_second_best_gap": 0.11047756424799425, "reverse_second_distance": 0.11273432277363406, "reverse_unambiguous": true, "second_best_gap": 0.08814933070802863, "second_distance": 0.09040608923366844, "unambiguous": true }, { "best_distance": 0.05291354743166411, "edge_kind": "map", "eigenfunction_mismatch": 0.012131223357702559, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j3", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05291354743166411, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j2", "reverse_second_best_gap": 0.004650469384666248, "reverse_second_distance": 0.05756401681633036, "reverse_unambiguous": true, "second_best_gap": 0.034890601939958035, "second_distance": 0.08780414937162215, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05291354743166411, "max_resolution_difference": 0.046321123509965395, "omega_imag": -0.1729809634464705, "omega_real": 2.907902039317244e-10, "outgoing_phase_residual": 4.335420911161236e-14, "pencil_residual": 4.520949057007427e-15, "reference_difference": 0.3830008625179599, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004168696707819497, "transformed_residual": 3.849448202815083e-06, "unfactored_residual": 3.0148666591897325e-05 }, { "N": 40, "accepted": false, "branch_id": "branch-0305", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 4.724416580049995e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.5219075650707534e-12, "infinity_row_residual": 1.1956950277183425e-12, "ingoing_phase_residual": 2.612968266757544e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0006455717426362417, "matching_checks": [ { "best_distance": 0.17410431760070727, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012535898664695622, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j2", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.046321123509965395, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j2", "reverse_second_best_gap": 0.11047756424799446, "reverse_second_distance": 0.15679868775795985, "reverse_unambiguous": true, "second_best_gap": 0.13868207812888023, "second_distance": 0.3127863957295875, "unambiguous": true }, { "best_distance": 0.052389924289827604, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0001463532306535953, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j3", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.052389924289827604, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j3", "reverse_second_best_gap": 0.22042544111056137, "reverse_second_distance": 0.272815365400389, "reverse_unambiguous": true, "second_best_gap": 0.1286642064922222, "second_distance": 0.18105413078204982, "unambiguous": true }, { "best_distance": 0.0646181627552408, "edge_kind": "map", "eigenfunction_mismatch": 0.0006455717426362417, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j4", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0646181627552408, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j3", "reverse_second_best_gap": 0.09118911560025117, "reverse_second_distance": 0.15580727835549196, "reverse_unambiguous": true, "second_best_gap": 0.12377963516549242, "second_distance": 0.18839779792073322, "unambiguous": true }, { "best_distance": 0.12137502253392751, "edge_kind": "map", "eigenfunction_mismatch": 0.0004117237373003624, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j4", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.12137502253392751, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j3", "reverse_second_best_gap": 0.1818803408083518, "reverse_second_distance": 0.3032553633422793, "reverse_unambiguous": true, "second_best_gap": 0.011246269205123643, "second_distance": 0.13262129173905116, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.12137502253392751, "max_resolution_difference": 0.17410431760070727, "omega_imag": -0.3934064045571411, "omega_real": 2.6728346549759085e-08, "outgoing_phase_residual": 1.9095836023552737e-14, "pencil_residual": 2.221062058470537e-15, "reference_difference": 0.48199243874500414, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012535898664695622, "transformed_residual": 6.256604924932811e-09, "unfactored_residual": 1.30273452824935e-08 }, { "N": 40, "accepted": false, "branch_id": "branch-0306", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 1.067952541444688e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.107975858262331e-12, "infinity_row_residual": 8.97840757477483e-13, "ingoing_phase_residual": 5.866270458777481e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.000805374467340858, "matching_checks": [ { "best_distance": 0.21849718626902653, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015856933950992858, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j3", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0019869413653170313, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j5", "reverse_second_best_gap": 0.21651024490370951, "reverse_second_distance": 0.21849718626902653, "reverse_unambiguous": true, "second_best_gap": 0.09049872374863888, "second_distance": 0.3089959100176654, "unambiguous": true }, { "best_distance": 0.03540219855817876, "edge_kind": "resolution", "eigenfunction_mismatch": 3.4621535207501886e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j4", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03540219855817876, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j4", "reverse_second_best_gap": 0.17328568492309732, "reverse_second_distance": 0.20868788348127607, "reverse_unambiguous": true, "second_best_gap": 0.17917414151029115, "second_distance": 0.2145763400684699, "unambiguous": true }, { "best_distance": 0.16377913087260282, "edge_kind": "map", "eigenfunction_mismatch": 0.000805374467340858, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j6", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.07234408311610639, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j5", "reverse_second_best_gap": 0.09143504775649643, "reverse_second_distance": 0.16377913087260282, "reverse_unambiguous": true, "second_best_gap": 0.10101944919188433, "second_distance": 0.26479858006448714, "unambiguous": true }, { "best_distance": 0.16771212592911242, "edge_kind": "map", "eigenfunction_mismatch": 0.0006184871853837093, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j6", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.16771212592911242, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j4", "reverse_second_best_gap": 0.08421257073279173, "reverse_second_distance": 0.25192469666190415, "reverse_unambiguous": true, "second_best_gap": 0.003085122408273744, "second_distance": 0.17079724833738616, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16771212592911242, "max_resolution_difference": 0.21849718626902653, "omega_imag": -0.8844274265482812, "omega_real": 8.090851851727663e-06, "outgoing_phase_residual": 8.548717289968882e-15, "pencil_residual": 1.7202750677749884e-15, "reference_difference": 0.878856770896868, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015856933950992858, "transformed_residual": 4.493291224520972e-13, "unfactored_residual": 4.1139509036340074e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0307", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 8.413100359978653e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.051220207765076e-13, "infinity_row_residual": 8.389630087838048e-13, "ingoing_phase_residual": 5.102320639638363e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.00021762368948285982, "matching_checks": [ { "best_distance": 0.0019869413653170313, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4045630298008547e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j3", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0019869413653170313, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j5", "reverse_second_best_gap": 0.21651024490370951, "reverse_second_distance": 0.21849718626902653, "reverse_unambiguous": true, "second_best_gap": 0.24619182366092976, "second_distance": 0.24817876502624678, "unambiguous": true }, { "best_distance": 0.004887782691326003, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4457124335454097e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j5", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004887782691326003, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j5", "reverse_second_best_gap": 0.2096885573771439, "reverse_second_distance": 0.2145763400684699, "reverse_unambiguous": true, "second_best_gap": 0.20380010078995006, "second_distance": 0.20868788348127607, "unambiguous": true }, { "best_distance": 0.054569963812375576, "edge_kind": "map", "eigenfunction_mismatch": 0.00021762368948285982, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j7", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.054569963812375576, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j5", "reverse_second_best_gap": 0.21022861625211156, "reverse_second_distance": 0.26479858006448714, "reverse_unambiguous": true, "second_best_gap": 0.017774119303730816, "second_distance": 0.07234408311610639, "unambiguous": true }, { "best_distance": 0.034049083702439156, "edge_kind": "map", "eigenfunction_mismatch": 6.57967357947653e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j8", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.034049083702439156, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j5", "reverse_second_best_gap": 0.18867188103736848, "reverse_second_distance": 0.22272096473980765, "reverse_unambiguous": true, "second_best_gap": 0.015691697943772537, "second_distance": 0.04974078164621169, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.054569963812375576, "max_resolution_difference": 0.004887782691326003, "omega_imag": -0.9488944147856231, "omega_real": 0.20677003042094588, "outgoing_phase_residual": 7.622633144142852e-15, "pencil_residual": 1.664074731327259e-15, "reference_difference": 0.8759790963052723, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.4457124335454097e-06, "transformed_residual": 5.3497336218719504e-14, "unfactored_residual": 2.7631256180782647e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0308", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 7.005613351392815e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.220778609425729e-13, "infinity_row_residual": 8.606004612347811e-13, "ingoing_phase_residual": 7.187306565527417e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.199779034599118e-08, "matching_checks": [ { "best_distance": 0.0003427620709676765, "edge_kind": "resolution", "eigenfunction_mismatch": 2.579002067459868e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j4", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0003427620709676765, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j6", "reverse_second_best_gap": 0.2315215733038197, "reverse_second_distance": 0.23186433537478737, "reverse_unambiguous": true, "second_best_gap": 0.23168692639869187, "second_distance": 0.23202968846965955, "unambiguous": true }, { "best_distance": 0.0001855326963070636, "edge_kind": "resolution", "eigenfunction_mismatch": 7.555792325142363e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j6", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0001855326963070636, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j6", "reverse_second_best_gap": 0.23203743602260862, "reverse_second_distance": 0.23222296871891568, "reverse_unambiguous": true, "second_best_gap": 0.2318548702471657, "second_distance": 0.23204040294347275, "unambiguous": true }, { "best_distance": 0.0005328142569481295, "edge_kind": "map", "eigenfunction_mismatch": 6.199779034599118e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j8", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0005328142569481295, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j6", "reverse_second_best_gap": 0.2317701522974817, "reverse_second_distance": 0.23230296655442983, "reverse_unambiguous": true, "second_best_gap": 0.20504790135868395, "second_distance": 0.20558071561563207, "unambiguous": true }, { "best_distance": 0.00036512997653419607, "edge_kind": "map", "eigenfunction_mismatch": 2.9167066650792606e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j9", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00036512997653419607, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j6", "reverse_second_best_gap": 0.23190926646818913, "reverse_second_distance": 0.23227439644472334, "reverse_unambiguous": true, "second_best_gap": 0.2316733598057507, "second_distance": 0.23203848978228492, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005328142569481295, "max_resolution_difference": 0.0003427620709676765, "omega_imag": -0.7049960565581341, "omega_real": 0.2516519662753614, "outgoing_phase_residual": 9.921599231853723e-15, "pencil_residual": 1.4273141835694117e-15, "reference_difference": 0.6280018960997793, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.579002067459868e-08, "transformed_residual": 4.522945997438547e-13, "unfactored_residual": 4.5298429420471923e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j7", "case": "schwarzschild", "coefficient_tail": 2.854122751977609e-13, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.276048367596378e-13, "infinity_row_residual": 1.2513151614399844e-12, "ingoing_phase_residual": 9.923177923625851e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.2779667041561424e-11, "matching_checks": [ { "best_distance": 1.0181539072658172e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4027445871533928e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N36:c1.4:j5", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0181539072658172e-05, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j7", "reverse_second_best_gap": 0.20939931235496093, "reverse_second_distance": 0.20940949389403357, "reverse_unambiguous": true, "second_best_gap": 0.20938931763211863, "second_distance": 0.20939949917119127, "unambiguous": true }, { "best_distance": 4.382962760245512e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.596545201072331e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j7", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.382962760245512e-06, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j7", "reverse_second_best_gap": 0.20939438307067515, "reverse_second_distance": 0.2093987660334354, "reverse_unambiguous": true, "second_best_gap": 0.2093950998440307, "second_distance": 0.20939948280679097, "unambiguous": true }, { "best_distance": 4.105386122390034e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.2779667041561424e-11, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j9", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.105386122390034e-06, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j7", "reverse_second_best_gap": 0.20939574147404294, "reverse_second_distance": 0.20939984686016533, "reverse_unambiguous": true, "second_best_gap": 0.20939537729761312, "second_distance": 0.2093994826837355, "unambiguous": true }, { "best_distance": 3.880944755197942e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.0358714714063808e-11, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j10", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.880944755197942e-06, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j7", "reverse_second_best_gap": 0.20939680162607963, "reverse_second_distance": 0.20940068257083483, "reverse_unambiguous": true, "second_best_gap": 0.20939560096889356, "second_distance": 0.20939948191364877, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 4.105386122390034e-06, "max_resolution_difference": 1.0181539072658172e-05, "omega_imag": -0.4782753895284525, "omega_real": 0.30105003674474573, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 1.7134227076483777e-15, "reference_difference": 0.3960285004556584, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.4027445871533928e-10, "transformed_residual": 3.326830717100617e-12, "unfactored_residual": 4.0992937237158055e-12 }, { "N": 40, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j8", "case": "schwarzschild", "coefficient_tail": 4.251607263420849e-13, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.0767975921063683e-12, "infinity_row_residual": 1.9045072034896435e-12, "ingoing_phase_residual": 1.0806778455423306e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.661338147750939e-16, "matching_checks": [ { "best_distance": 3.153752167746801e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 9.658940314238862e-15, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j6", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.153752167746801e-08, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j8", "reverse_second_best_gap": 0.18690722399220833, "reverse_second_distance": 0.18690725552973, "reverse_unambiguous": true, "second_best_gap": 0.18690724668602082, "second_distance": 0.1869072782235425, "unambiguous": true }, { "best_distance": 8.3880522566931e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j8", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.3880522566931e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j8", "reverse_second_best_gap": 0.1869072617422304, "reverse_second_distance": 0.18690727013028266, "reverse_unambiguous": true, "second_best_gap": 0.18690726984164532, "second_distance": 0.18690727822969758, "unambiguous": true }, { "best_distance": 7.98273458029957e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j10", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.98273458029957e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j8", "reverse_second_best_gap": 0.18690726234847987, "reverse_second_distance": 0.18690727033121446, "reverse_unambiguous": true, "second_best_gap": 0.18690727024717738, "second_distance": 0.18690727822991196, "unambiguous": true }, { "best_distance": 7.049675969110308e-09, "edge_kind": "map", "eigenfunction_mismatch": 6.661338147750939e-16, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j11", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.049675969110308e-09, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j8", "reverse_second_best_gap": 0.18690726413286501, "reverse_second_distance": 0.186907271182541, "reverse_unambiguous": true, "second_best_gap": 0.18690727118032985, "second_distance": 0.18690727823000583, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.98273458029957e-09, "max_resolution_difference": 3.153752167746801e-08, "omega_imag": -0.2739148824677046, "omega_real": 0.3467109964220361, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 2.1198125185504542e-15, "reference_difference": 0.18690727822980285, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.658940314238862e-15, "transformed_residual": 7.02593780661513e-12, "unfactored_residual": 1.0422424180984888e-11 }, { "N": 40, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N40:c1.4:j9", "case": "schwarzschild", "coefficient_tail": 1.5586106807605842e-13, "failure_reasons": [], "horizon_row_residual": 3.2123551436188455e-12, "infinity_row_residual": 1.4270222096508713e-11, "ingoing_phase_residual": 9.235201441963224e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.1676149567831446e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N36:c1.4:j7", "peer_configuration": [ "schwarzschild", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1676149567831446e-11, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j9", "reverse_second_best_gap": 0.18690727821186634, "reverse_second_distance": 0.1869072782235425, "reverse_unambiguous": true, "second_best_gap": 0.18690725551805384, "second_distance": 0.18690725552973, "unambiguous": true }, { "best_distance": 1.9148758259383048e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j9", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.9148758259383048e-12, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j9", "reverse_second_best_gap": 0.1869072782277827, "reverse_second_distance": 0.18690727822969758, "reverse_unambiguous": true, "second_best_gap": 0.18690727012836778, "second_distance": 0.18690727013028266, "unambiguous": true }, { "best_distance": 1.6999197910465336e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j11", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.6999197910465336e-12, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j9", "reverse_second_best_gap": 0.18690727822821204, "reverse_second_distance": 0.18690727822991196, "reverse_unambiguous": true, "second_best_gap": 0.18690727032951454, "second_distance": 0.18690727033121446, "unambiguous": true }, { "best_distance": 1.6455578709227703e-12, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j12", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.6455578709227703e-12, "reverse_nearest_candidate_id": "schwarzschild:N40:c1.4:j9", "reverse_second_best_gap": 0.18690727822836029, "reverse_second_distance": 0.18690727823000583, "reverse_unambiguous": true, "second_best_gap": 0.18690727118089545, "second_distance": 0.186907271182541, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.6999197910465336e-12, "max_resolution_difference": 1.1676149567831446e-11, "omega_imag": -0.08896231568718893, "omega_real": 0.3736716844185995, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 7.449322927694612e-15, "reference_difference": 1.833628534488656e-12, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 3.418073810028115e-12, "unfactored_residual": 4.3568066957208444e-12 }, { "N": 44, "accepted": false, "branch_id": "branch-0309", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j0", "case": "schwarzschild", "coefficient_tail": 0.008277230319166785, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.73953637068278e-07, "infinity_row_residual": 3.151175733188441e-14, "ingoing_phase_residual": 1.5724822898060966e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.05227441833008495, "matching_checks": [ { "best_distance": 0.0011449575141793565, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004153954617679645, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j0", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0011449575141793565, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.005181535677696192, "reverse_unambiguous": true, "second_best_gap": 0.024103855967884266, "second_distance": 0.025248813482063624, "unambiguous": true }, { "best_distance": 0.002346824149642054, "edge_kind": "map", "eigenfunction_mismatch": 0.014294454162081194, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j1", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002346824149642054, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.006383402313158889, "reverse_unambiguous": true, "second_best_gap": 0.010965248723742913, "second_distance": 0.013312072873384966, "unambiguous": true }, { "best_distance": 0.0054945296998658065, "edge_kind": "map", "eigenfunction_mismatch": 0.05227441833008495, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j0", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0054945296998658065, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.009531107863382642, "reverse_unambiguous": true, "second_best_gap": 0.07741403648777043, "second_distance": 0.08290856618763623, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0054945296998658065, "max_resolution_difference": 0.0011449575141793565, "omega_imag": -0.005431179451409788, "omega_real": 2.878187631849024e-15, "outgoing_phase_residual": 1.3809292251365513e-12, "pencil_residual": 6.523404847450533e-14, "reference_difference": 0.3828942131411059, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004153954617679645, "transformed_residual": 0.9981429029826537, "unfactored_residual": 0.9949004353687123 }, { "N": 44, "accepted": false, "branch_id": "branch-0310", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j1", "case": "schwarzschild", "coefficient_tail": 0.20873662522893147, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.84336625140187e-08, "infinity_row_residual": 7.124305806260055e-15, "ingoing_phase_residual": 1.5477465063881376e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.36469458119718134, "matching_checks": [ { "best_distance": 0.005181535677696192, "edge_kind": "resolution", "eigenfunction_mismatch": 0.24902678638687725, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j0", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0011449575141793565, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.005181535677696192, "reverse_unambiguous": true, "second_best_gap": 0.024103855967884266, "second_distance": 0.029285391645580458, "unambiguous": true }, { "best_distance": 0.006383402313158889, "edge_kind": "map", "eigenfunction_mismatch": 0.28682385117529774, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j1", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.002346824149642054, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.006383402313158889, "reverse_unambiguous": true, "second_best_gap": 0.010965248723742911, "second_distance": 0.0173486510369018, "unambiguous": true }, { "best_distance": 0.009531107863382642, "edge_kind": "map", "eigenfunction_mismatch": 0.36469458119718134, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j0", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0054945296998658065, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.009531107863382642, "reverse_unambiguous": true, "second_best_gap": 0.07741403648777043, "second_distance": 0.08694514435115307, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009531107863382642, "max_resolution_difference": 0.005181535677696192, "omega_imag": -0.0013946012878929535, "omega_real": 3.671656063281907e-15, "outgoing_phase_residual": 5.377980396084614e-12, "pencil_residual": 5.734608721613092e-14, "reference_difference": 0.383795039495349, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.24902678638687725, "transformed_residual": 0.9995172332600469, "unfactored_residual": 0.9948744978181655 }, { "N": 44, "accepted": false, "branch_id": "branch-0311", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j2", "case": "schwarzschild", "coefficient_tail": 5.95405723491199e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.606197885802696e-07, "infinity_row_residual": 1.6179319733858022e-13, "ingoing_phase_residual": 1.6683446288029578e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.07405725500778282, "matching_checks": [ { "best_distance": 0.005380788676914463, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0041308463581597454, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j1", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005380788676914463, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j2", "reverse_second_best_gap": 0.01986802480514916, "reverse_second_distance": 0.025248813482063624, "reverse_unambiguous": true, "second_best_gap": 0.013342278614055344, "second_distance": 0.018723067290969807, "unambiguous": true }, { "best_distance": 0.006555951931764194, "edge_kind": "map", "eigenfunction_mismatch": 0.009949608460052661, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j0", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.006555951931764194, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j2", "reverse_second_best_gap": 0.006756120941620772, "reverse_second_distance": 0.013312072873384966, "reverse_unambiguous": true, "second_best_gap": 0.010965248723742913, "second_distance": 0.017521200655507108, "unambiguous": true }, { "best_distance": 0.014373495105283355, "edge_kind": "map", "eigenfunction_mismatch": 0.07405725500778282, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j0", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0054945296998658065, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j0", "reverse_second_best_gap": 0.004036578163516835, "reverse_second_distance": 0.009531107863382642, "reverse_unambiguous": true, "second_best_gap": 0.048667046277203724, "second_distance": 0.06304054138248708, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.014373495105283355, "max_resolution_difference": 0.005380788676914463, "omega_imag": -0.02529920425655895, "omega_real": 1.2936812097928213e-12, "outgoing_phase_residual": 2.9645383370358047e-13, "pencil_residual": 4.816687153214194e-14, "reference_difference": 0.3790560901662194, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0041308463581597454, "transformed_residual": 0.008489590897750893, "unfactored_residual": 0.28649662299720613 }, { "N": 44, "accepted": false, "branch_id": "branch-0312", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j3", "case": "schwarzschild", "coefficient_tail": 6.571271957938818e-07, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.5924764568429993e-08, "infinity_row_residual": 3.812984273634621e-13, "ingoing_phase_residual": 2.0593385545442145e-07, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.007435349876667385, "matching_checks": [ { "best_distance": 0.014702300847514144, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00414088064978646, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j2", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.014702300847514144, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j3", "reverse_second_best_gap": 0.042573369108728956, "reverse_second_distance": 0.0572756699562431, "reverse_unambiguous": true, "second_best_gap": 0.022490279584300346, "second_distance": 0.03719258043181449, "unambiguous": true }, { "best_distance": 0.00562214035529382, "edge_kind": "map", "eigenfunction_mismatch": 0.0008165507245111447, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j2", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00562214035529382, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j3", "reverse_second_best_gap": 0.031329088398141317, "reverse_second_distance": 0.036951228753435136, "reverse_unambiguous": true, "second_best_gap": 0.04350718068519933, "second_distance": 0.04912932104049315, "unambiguous": true }, { "best_distance": 0.02046717227375812, "edge_kind": "map", "eigenfunction_mismatch": 0.007435349876667385, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j1", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.02046717227375812, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j3", "reverse_second_best_gap": 0.034246819542947365, "reverse_second_distance": 0.054713991816705485, "reverse_unambiguous": true, "second_best_gap": 0.03647969194025419, "second_distance": 0.05694686421401231, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02046717227375812, "max_resolution_difference": 0.014702300847514144, "omega_imag": -0.0678725733652879, "omega_real": 5.945559591482747e-11, "outgoing_phase_residual": 1.1050882431362652e-13, "pencil_residual": 1.7201392732062573e-14, "reference_difference": 0.3742663555847102, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00414088064978646, "transformed_residual": 1.8202434456426197e-05, "unfactored_residual": 0.0004776280337324556 }, { "N": 44, "accepted": false, "branch_id": "branch-0313", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j4", "case": "schwarzschild", "coefficient_tail": 6.727108036245293e-09, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.729405529031051e-10, "infinity_row_residual": 8.555225334168955e-13, "ingoing_phase_residual": 3.5071534201791554e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.022940750866729642, "matching_checks": [ { "best_distance": 0.0321839845163586, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0035954883390747483, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j3", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0321839845163586, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j4", "reverse_second_best_gap": 0.057316486070008825, "reverse_second_distance": 0.08950047058636743, "reverse_unambiguous": true, "second_best_gap": 0.02829487872659086, "second_distance": 0.06047886324294946, "unambiguous": true }, { "best_distance": 0.003659841412938247, "edge_kind": "map", "eigenfunction_mismatch": 5.8781029552923414e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j3", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.003659841412938247, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j4", "reverse_second_best_gap": 0.07518116409046309, "reverse_second_distance": 0.07884100550340134, "reverse_unambiguous": true, "second_best_gap": 0.07714346303281916, "second_distance": 0.08080330444575741, "unambiguous": true }, { "best_distance": 0.054713991816705485, "edge_kind": "map", "eigenfunction_mismatch": 0.022940750866729642, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j1", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.02046717227375812, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j3", "reverse_second_best_gap": 0.034246819542947365, "reverse_second_distance": 0.054713991816705485, "reverse_unambiguous": true, "second_best_gap": 0.01458454450263609, "second_distance": 0.06929853631934157, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.054713991816705485, "max_resolution_difference": 0.0321839845163586, "omega_imag": -0.14305373745575148, "omega_real": 1.8804170812901985e-09, "outgoing_phase_residual": 5.2430282337923024e-14, "pencil_residual": 4.798070265776827e-15, "reference_difference": 0.37756642890921194, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0035954883390747483, "transformed_residual": 1.2335778914553306e-07, "unfactored_residual": 1.1660065194416633e-06 }, { "N": 44, "accepted": false, "branch_id": "branch-0314", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j5", "case": "schwarzschild", "coefficient_tail": 4.8285056751756066e-11, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.2849587082749108e-11, "infinity_row_residual": 1.5845982943529975e-12, "ingoing_phase_residual": 2.54429060494816e-06, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0028208512703923327, "matching_checks": [ { "best_distance": 0.06405004924348658, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017687946184461456, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j4", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06405004924348658, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j5", "reverse_second_best_gap": 0.0634505276590288, "reverse_second_distance": 0.12750057690251537, "reverse_unambiguous": true, "second_best_gap": 0.02545042134288085, "second_distance": 0.08950047058636743, "unambiguous": true }, { "best_distance": 0.02913783799793249, "edge_kind": "map", "eigenfunction_mismatch": 0.0004707810587657457, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j4", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.02913783799793249, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j5", "reverse_second_best_gap": 0.12168445510262627, "reverse_second_distance": 0.15082229310055875, "reverse_unambiguous": true, "second_best_gap": 0.08888677569185072, "second_distance": 0.1180246136897832, "unambiguous": true }, { "best_distance": 0.05238591878340135, "edge_kind": "map", "eigenfunction_mismatch": 0.0028208512703923327, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j2", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05238591878340135, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j5", "reverse_second_best_gap": 0.016912617535940228, "reverse_second_distance": 0.06929853631934157, "reverse_unambiguous": true, "second_best_gap": 0.1240125281360189, "second_distance": 0.17639844691942025, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05238591878340135, "max_resolution_difference": 0.06405004924348658, "omega_imag": -0.2647381925584537, "omega_real": 6.653911750461399e-08, "outgoing_phase_residual": 2.8310687127942385e-14, "pencil_residual": 3.591306787058126e-15, "reference_difference": 0.4129499205684641, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0017687946184461456, "transformed_residual": 7.686444876070502e-10, "unfactored_residual": 2.559599016460115e-09 }, { "N": 44, "accepted": false, "branch_id": "branch-0315", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j6", "case": "schwarzschild", "coefficient_tail": 2.21454008397796e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.600613050553662e-12, "infinity_row_residual": 1.9257092232440594e-12, "ingoing_phase_residual": 1.8155470245384556e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.003536872744917874, "matching_checks": [ { "best_distance": 0.12551538376718957, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010181113368812333, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j5", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.12551538376718957, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j6", "reverse_second_best_gap": 0.056596575054491616, "reverse_second_distance": 0.18211195882168119, "reverse_unambiguous": true, "second_best_gap": 0.0019851931353258023, "second_distance": 0.12750057690251537, "unambiguous": true }, { "best_distance": 0.16241278808329362, "edge_kind": "map", "eigenfunction_mismatch": 0.003536872744917874, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j4", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.02913783799793249, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j5", "reverse_second_best_gap": 0.12168445510262627, "reverse_second_distance": 0.15082229310055875, "reverse_unambiguous": true, "second_best_gap": 0.13943346425873454, "second_distance": 0.30184625234202817, "unambiguous": true }, { "best_distance": 0.010492493443537589, "edge_kind": "map", "eigenfunction_mismatch": 3.0495490859205887e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j3", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.010492493443537589, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j6", "reverse_second_best_gap": 0.1705656428448461, "reverse_second_distance": 0.1810581362883837, "reverse_unambiguous": true, "second_best_gap": 0.2334440513335872, "second_distance": 0.2439365447771248, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16241278808329362, "max_resolution_difference": 0.12551538376718957, "omega_imag": -0.4562888183782666, "omega_real": 9.213523569108625e-06, "outgoing_phase_residual": 1.6375789616553002e-14, "pencil_residual": 2.8323453289390267e-15, "reference_difference": 0.5239774820857646, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00010181113368812333, "transformed_residual": 2.302058890110523e-12, "unfactored_residual": 3.395885765816738e-12 }, { "N": 44, "accepted": false, "branch_id": "branch-0316", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j7", "case": "schwarzschild", "coefficient_tail": 1.9661692596926167e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.519841294405146e-11, "infinity_row_residual": 1.5953066596673687e-12, "ingoing_phase_residual": 7.263938733200687e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0006024684948674475, "matching_checks": [ { "best_distance": 0.18211195882168119, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00036270098820878616, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j5", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.12551538376718957, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j6", "reverse_second_best_gap": 0.056596575054491616, "reverse_second_distance": 0.18211195882168119, "reverse_unambiguous": true, "second_best_gap": 0.013927996262255354, "second_distance": 0.19603995508393654, "unambiguous": true }, { "best_distance": 0.015178498349632703, "edge_kind": "map", "eigenfunction_mismatch": 4.734536439565673e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j5", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.015178498349632703, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j7", "reverse_second_best_gap": 0.22870797889187436, "reverse_second_distance": 0.24388647724150705, "reverse_unambiguous": true, "second_best_gap": 0.048390763955105116, "second_distance": 0.06356926230473782, "unambiguous": true }, { "best_distance": 0.1571894684164958, "edge_kind": "map", "eigenfunction_mismatch": 0.0006024684948674475, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j4", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.1571894684164958, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j7", "reverse_second_best_gap": 0.05344543585930725, "reverse_second_distance": 0.21063490427580306, "reverse_unambiguous": true, "second_best_gap": 0.08675354262309107, "second_distance": 0.24394301103958688, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.1571894684164958, "max_resolution_difference": 0.18211195882168119, "omega_imag": -0.7633205900153712, "omega_real": 0.014727788963575954, "outgoing_phase_residual": 9.882793939802778e-15, "pencil_residual": 2.209015279824225e-15, "reference_difference": 0.763937040754377, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00036270098820878616, "transformed_residual": 2.7361047152491944e-14, "unfactored_residual": 1.720313470781551e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0317", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j8", "case": "schwarzschild", "coefficient_tail": 1.9193427861442278e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.984908083829293e-13, "infinity_row_residual": 1.2975623682141474e-12, "ingoing_phase_residual": 5.5093184633520216e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00016506970604324156, "matching_checks": [ { "best_distance": 0.0453723460974096, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010660668053052991, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j6", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0453723460974096, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j8", "reverse_second_best_gap": 0.15066760898652692, "reverse_second_distance": 0.19603995508393654, "reverse_unambiguous": true, "second_best_gap": 0.057437847360947134, "second_distance": 0.10281019345835674, "unambiguous": true }, { "best_distance": 0.03560410511778653, "edge_kind": "map", "eigenfunction_mismatch": 9.540848338407404e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j7", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03560410511778653, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j8", "reverse_second_best_gap": 0.18203130066311213, "reverse_second_distance": 0.21763540578089866, "reverse_unambiguous": true, "second_best_gap": 0.15672576011488426, "second_distance": 0.1923298652326708, "unambiguous": true }, { "best_distance": 0.0514323985584696, "edge_kind": "map", "eigenfunction_mismatch": 0.00016506970604324156, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j5", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0514323985584696, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j8", "reverse_second_best_gap": 0.1919761785380588, "reverse_second_distance": 0.24340857709652838, "reverse_unambiguous": true, "second_best_gap": 0.14086975222769366, "second_distance": 0.19230215078616325, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0514323985584696, "max_resolution_difference": 0.0453723460974096, "omega_imag": -0.8926952535152934, "omega_real": 0.20899592999299102, "outgoing_phase_residual": 8.321490031024007e-15, "pencil_residual": 1.8693109219987884e-15, "reference_difference": 0.8204296066345044, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00010660668053052991, "transformed_residual": 2.753928639441235e-14, "unfactored_residual": 1.4996450130904772e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0318", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j9", "case": "schwarzschild", "coefficient_tail": 1.8138616201441233e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.246891058974116e-13, "infinity_row_residual": 1.6137180439686134e-12, "ingoing_phase_residual": 7.190233595773051e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.206577352063647e-08, "matching_checks": [ { "best_distance": 0.0003781539695432682, "edge_kind": "resolution", "eigenfunction_mismatch": 3.115299762601609e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c0.7:j8", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0003781539695432682, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j9", "reverse_second_best_gap": 0.19184061333376717, "reverse_second_distance": 0.19221876730331044, "reverse_unambiguous": true, "second_best_gap": 0.20519789569767685, "second_distance": 0.20557604966722012, "unambiguous": true }, { "best_distance": 0.0005316766147363717, "edge_kind": "map", "eigenfunction_mismatch": 6.206577352063647e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j8", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005316766147363717, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j9", "reverse_second_best_gap": 0.1917981886179344, "reverse_second_distance": 0.1923298652326708, "reverse_unambiguous": true, "second_best_gap": 0.21710372916616227, "second_distance": 0.21763540578089866, "unambiguous": true }, { "best_distance": 0.00037330390376131753, "edge_kind": "map", "eigenfunction_mismatch": 3.0539622719594206e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j6", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00037330390376131753, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j9", "reverse_second_best_gap": 0.19192884688240194, "reverse_second_distance": 0.19230215078616325, "reverse_unambiguous": true, "second_best_gap": 0.23161231458772974, "second_distance": 0.23198561849149105, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005316766147363717, "max_resolution_difference": 0.0003781539695432682, "omega_imag": -0.7048873662177193, "omega_real": 0.2514111540812792, "outgoing_phase_residual": 1.0026026987065696e-14, "pencil_residual": 2.075301967018418e-15, "reference_difference": 0.627942119265073, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.115299762601609e-08, "transformed_residual": 3.187847863083343e-14, "unfactored_residual": 1.6054308703212225e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j10", "case": "schwarzschild", "coefficient_tail": 1.9613086235987943e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.044110341225725e-13, "infinity_row_residual": 2.1022044586073957e-12, "ingoing_phase_residual": 9.923074274064493e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.7263968032921184e-12, "matching_checks": [ { "best_distance": 1.2452088438276864e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1094237467877974e-14, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j9", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.2452088438276864e-07, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j10", "reverse_second_best_gap": 0.20939973016484245, "reverse_second_distance": 0.20939985468572683, "reverse_unambiguous": true, "second_best_gap": 0.20939967886000987, "second_distance": 0.20939980338089426, "unambiguous": true }, { "best_distance": 1.1295924519997058e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.7263968032921184e-12, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j9", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1295924519997058e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j10", "reverse_second_best_gap": 0.20939974572915812, "reverse_second_distance": 0.2094008753216101, "reverse_unambiguous": true, "second_best_gap": 0.20939867284149424, "second_distance": 0.20939980243394624, "unambiguous": true }, { "best_distance": 1.0369115675138012e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.45372602844418e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j7", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0369115675138012e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j10", "reverse_second_best_gap": 0.2093977369474305, "reverse_second_distance": 0.20939877385899802, "reverse_unambiguous": true, "second_best_gap": 0.2093987665924031, "second_distance": 0.20939980350397064, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.1295924519997058e-06, "max_resolution_difference": 1.2452088438276864e-07, "omega_imag": -0.4782766187367483, "omega_real": 0.30105406768607623, "outgoing_phase_residual": 1.336885555457667e-14, "pencil_residual": 2.3707495940909054e-15, "reference_difference": 0.39602896966943557, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.1094237467877974e-14, "transformed_residual": 6.154024406390147e-14, "unfactored_residual": 5.72559261904497e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j11", "case": "schwarzschild", "coefficient_tail": 6.254268038268369e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.6313068233048713e-12, "infinity_row_residual": 3.3772140000186873e-12, "ingoing_phase_residual": 1.0806778455194548e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 7.180894460594781e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j10", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.180894460594781e-10, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j11", "reverse_second_best_gap": 0.18690726961159201, "reverse_second_distance": 0.18690727032968146, "reverse_unambiguous": true, "second_best_gap": 0.18690726963215282, "second_distance": 0.18690727035024227, "unambiguous": true }, { "best_distance": 9.936788981363605e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j10", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.936788981363605e-10, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j11", "reverse_second_best_gap": 0.1869072703217949, "reverse_second_distance": 0.1869072713154738, "reverse_unambiguous": true, "second_best_gap": 0.18690726935649266, "second_distance": 0.18690727035017154, "unambiguous": true }, { "best_distance": 1.7625748640264617e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j8", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.7625748640264617e-09, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j11", "reverse_second_best_gap": 0.18690726836617477, "reverse_second_distance": 0.18690727012874964, "reverse_unambiguous": true, "second_best_gap": 0.18690726858745302, "second_distance": 0.18690727035002788, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.7625748640264617e-09, "max_resolution_difference": 7.180894460594781e-10, "omega_imag": -0.27391487460902353, "omega_real": 0.3467109971373137, "outgoing_phase_residual": 1.695781629055634e-14, "pencil_residual": 3.068748717302346e-15, "reference_difference": 0.1869072703501332, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.5277386313787242e-13, "unfactored_residual": 1.7902004391893155e-13 }, { "N": 44, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N44:c0.7:j12", "case": "schwarzschild", "coefficient_tail": 9.651570848630436e-15, "failure_reasons": [], "horizon_row_residual": 6.626355414368233e-12, "infinity_row_residual": 9.542891999283712e-12, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 6.345358705540829e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c0.7:j11", "peer_configuration": [ "schwarzschild", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.345358705540829e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j12", "reverse_second_best_gap": 0.18690727034960772, "reverse_second_distance": 0.18690727035024227, "reverse_unambiguous": true, "second_best_gap": 0.18690727032904692, "second_distance": 0.18690727032968146, "unambiguous": true }, { "best_distance": 4.4493311794137086e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j11", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.4493311794137086e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j12", "reverse_second_best_gap": 0.18690727034972662, "reverse_second_distance": 0.18690727035017154, "reverse_unambiguous": true, "second_best_gap": 0.18690727131502888, "second_distance": 0.1869072713154738, "unambiguous": true }, { "best_distance": 6.947936795422045e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j9", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.947936795422045e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c0.7:j12", "reverse_second_best_gap": 0.18690727034933308, "reverse_second_distance": 0.18690727035002788, "reverse_unambiguous": true, "second_best_gap": 0.18690727012805483, "second_distance": 0.18690727012874964, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.947936795422045e-13, "max_resolution_difference": 6.345358705540829e-13, "omega_imag": -0.08896231568861504, "omega_real": 0.3736716844177549, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 5.1535340684790415e-15, "reference_difference": 4.302974136515262e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.1001116502723387e-12, "unfactored_residual": 1.0262487382917581e-12 }, { "N": 44, "accepted": false, "branch_id": "branch-0319", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j0", "case": "schwarzschild", "coefficient_tail": 0.0005955774169171398, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.746905387682378e-07, "infinity_row_residual": 1.9003641526176477e-14, "ingoing_phase_residual": 1.6389145572962016e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.03171519494774033, "matching_checks": [ { "best_distance": 0.0039864269207681505, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004132229662557885, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j2", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0039864269207681505, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j0", "reverse_second_best_gap": 0.010965248723742913, "reverse_second_distance": 0.014951675644511064, "reverse_unambiguous": true, "second_best_gap": 0.012341650759763439, "second_distance": 0.01632807768053159, "unambiguous": true }, { "best_distance": 0.006555951931764194, "edge_kind": "map", "eigenfunction_mismatch": 0.009949608460052661, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j2", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006555951931764194, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j0", "reverse_second_best_gap": 0.010965248723742913, "reverse_second_distance": 0.017521200655507108, "reverse_unambiguous": true, "second_best_gap": 0.006756120941620772, "second_distance": 0.013312072873384966, "unambiguous": true }, { "best_distance": 0.00781754317351916, "edge_kind": "map", "eigenfunction_mismatch": 0.03171519494774033, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j0", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0031477055502237526, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j1", "reverse_second_best_gap": 0.004669837623295408, "reverse_second_distance": 0.00781754317351916, "reverse_unambiguous": true, "second_best_gap": 0.06177895014073211, "second_distance": 0.06959649331425127, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00781754317351916, "max_resolution_difference": 0.0039864269207681505, "omega_imag": -0.018743252324794756, "omega_real": 1.8809264775246257e-28, "outgoing_phase_residual": 4.001417253096662e-13, "pencil_residual": 1.1952447537686703e-14, "reference_difference": 0.38021210474622436, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004132229662557885, "transformed_residual": 0.16644401732646857, "unfactored_residual": 0.9964746937701958 }, { "N": 44, "accepted": false, "branch_id": "branch-0320", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j1", "case": "schwarzschild", "coefficient_tail": 0.008114684377257876, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.416773113639239e-07, "infinity_row_residual": 2.629079908323557e-15, "ingoing_phase_residual": 1.6223803701604508e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.014294454162081194, "matching_checks": [ { "best_distance": 0.005362828956788676, "edge_kind": "resolution", "eigenfunction_mismatch": 0.16495579266034244, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j1", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005362828956788676, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j1", "reverse_second_best_gap": 0.010965248723742913, "reverse_second_distance": 0.01632807768053159, "reverse_unambiguous": true, "second_best_gap": 0.009588846687722388, "second_distance": 0.014951675644511064, "unambiguous": true }, { "best_distance": 0.002346824149642054, "edge_kind": "map", "eigenfunction_mismatch": 0.014294454162081194, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j0", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002346824149642054, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j1", "reverse_second_best_gap": 0.010965248723742913, "reverse_second_distance": 0.013312072873384966, "reverse_unambiguous": true, "second_best_gap": 0.004036578163516835, "second_distance": 0.006383402313158889, "unambiguous": true }, { "best_distance": 0.0031477055502237526, "edge_kind": "map", "eigenfunction_mismatch": 0.012821597340204494, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j0", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0031477055502237526, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j1", "reverse_second_best_gap": 0.004669837623295408, "reverse_second_distance": 0.00781754317351916, "reverse_unambiguous": true, "second_best_gap": 0.07741403648777043, "second_distance": 0.08056174203799418, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0031477055502237526, "max_resolution_difference": 0.005362828956788676, "omega_imag": -0.007778003601051842, "omega_real": 3.069033783110952e-28, "outgoing_phase_residual": 9.64264258718206e-13, "pencil_residual": 1.4592942717308133e-14, "reference_difference": 0.3823890953793002, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.16495579266034244, "transformed_residual": 0.9998215160114821, "unfactored_residual": 0.9934992357916839 }, { "N": 44, "accepted": false, "branch_id": "branch-0321", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j2", "case": "schwarzschild", "coefficient_tail": 5.109895098411245e-06, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.313381509413164e-09, "infinity_row_residual": 1.0071082415848421e-13, "ingoing_phase_residual": 1.9976672715332766e-07, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.013104355554964142, "matching_checks": [ { "best_distance": 0.018091512385233717, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012881473147289046, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j0", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.018091512385233717, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j2", "reverse_second_best_gap": 0.007324155914731893, "reverse_second_distance": 0.02541566829996561, "reverse_unambiguous": true, "second_best_gap": 0.02142924137919746, "second_distance": 0.03952075376443118, "unambiguous": true }, { "best_distance": 0.00562214035529382, "edge_kind": "map", "eigenfunction_mismatch": 0.0008165507245111447, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j3", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00562214035529382, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j2", "reverse_second_best_gap": 0.04350718068519933, "reverse_second_distance": 0.04912932104049315, "reverse_unambiguous": true, "second_best_gap": 0.031329088398141317, "second_distance": 0.036951228753435136, "unambiguous": true }, { "best_distance": 0.02608931262905194, "edge_kind": "map", "eigenfunction_mismatch": 0.013104355554964142, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j1", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.02608931262905194, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j2", "reverse_second_best_gap": 0.03228452060059128, "reverse_second_distance": 0.05837383322964322, "reverse_unambiguous": true, "second_best_gap": 0.02523541122966655, "second_distance": 0.05132472385871849, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02608931262905194, "max_resolution_difference": 0.018091512385233717, "omega_imag": -0.06225043300999408, "omega_real": 1.0844269243455635e-26, "outgoing_phase_residual": 1.2048695374744511e-13, "pencil_residual": 3.569161589738994e-15, "reference_difference": 0.37462521593196335, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012881473147289046, "transformed_residual": 0.00015502147066264566, "unfactored_residual": 0.004949989569823683 }, { "N": 44, "accepted": false, "branch_id": "branch-0322", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j3", "case": "schwarzschild", "coefficient_tail": 4.1274701449885415e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.129905609673866e-11, "infinity_row_residual": 2.8620684104939906e-14, "ingoing_phase_residual": 3.631418449279167e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.02525603678078414, "matching_checks": [ { "best_distance": 0.026646162853882868, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003830349463929128, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j3", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.026646162853882868, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j3", "reverse_second_best_gap": 0.031170820150929424, "reverse_second_distance": 0.05781698300481229, "reverse_unambiguous": true, "second_best_gap": 0.075908495390046, "second_distance": 0.10255465824392887, "unambiguous": true }, { "best_distance": 0.003659841412938247, "edge_kind": "map", "eigenfunction_mismatch": 5.878102955281239e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j4", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.003659841412938247, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j3", "reverse_second_best_gap": 0.07714346303281916, "reverse_second_distance": 0.08080330444575741, "reverse_unambiguous": true, "second_best_gap": 0.07518116409046309, "second_distance": 0.07884100550340134, "unambiguous": true }, { "best_distance": 0.05837383322964322, "edge_kind": "map", "eigenfunction_mismatch": 0.02525603678078414, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j1", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.02608931262905194, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j2", "reverse_second_best_gap": 0.03228452060059128, "reverse_second_distance": 0.05837383322964322, "reverse_unambiguous": true, "second_best_gap": 0.007264861676760603, "second_distance": 0.06563869490640382, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05837383322964322, "max_resolution_difference": 0.026646162853882868, "omega_imag": -0.14671357886868924, "omega_real": 1.371438424909297e-24, "outgoing_phase_residual": 5.112577028398846e-14, "pencil_residual": 5.136008255160157e-16, "reference_difference": 0.37810810112277915, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.003830349463929128, "transformed_residual": 7.689016000591741e-07, "unfactored_residual": 7.87342043201597e-06 }, { "N": 44, "accepted": false, "branch_id": "branch-0323", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j4", "case": "schwarzschild", "coefficient_tail": 1.9745162866303058e-10, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.619242623982544e-12, "infinity_row_residual": 5.577236788498568e-14, "ingoing_phase_residual": 8.54534684568975e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.00558490545933954, "matching_checks": [ { "best_distance": 0.033090917738217596, "edge_kind": "resolution", "eigenfunction_mismatch": 0.000626147987746184, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j5", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.033090917738217596, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j4", "reverse_second_best_gap": 0.0809806162111858, "reverse_second_distance": 0.11407153394940339, "reverse_unambiguous": true, "second_best_gap": 0.14071769680328627, "second_distance": 0.17380861454150387, "unambiguous": true }, { "best_distance": 0.02913783799793249, "edge_kind": "map", "eigenfunction_mismatch": 0.0004707810587657457, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j5", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02913783799793249, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j4", "reverse_second_best_gap": 0.08888677569185072, "reverse_second_distance": 0.1180246136897832, "reverse_unambiguous": true, "second_best_gap": 0.12168445510262627, "second_distance": 0.15082229310055875, "unambiguous": true }, { "best_distance": 0.08152375678121718, "edge_kind": "map", "eigenfunction_mismatch": 0.00558490545933954, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j2", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.06563869490640382, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j3", "reverse_second_best_gap": 0.015885061874813353, "reverse_second_distance": 0.08152375678121718, "reverse_unambiguous": true, "second_best_gap": 0.0703965415093663, "second_distance": 0.15192029829058348, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.08152375678121718, "max_resolution_difference": 0.033090917738217596, "omega_imag": -0.29387603055631023, "omega_real": 8.865679537145723e-23, "outgoing_phase_residual": 2.5590640717609858e-14, "pencil_residual": 3.187731716501045e-16, "reference_difference": 0.4261691662668292, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.000626147987746184, "transformed_residual": 3.165320645176894e-09, "unfactored_residual": 1.0087219912047785e-08 }, { "N": 44, "accepted": false, "branch_id": "branch-0324", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j5", "case": "schwarzschild", "coefficient_tail": 5.501527033761982e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.05512793758804e-11, "infinity_row_residual": 1.2733456309350515e-13, "ingoing_phase_residual": 7.214842823177747e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0005715880208876367, "matching_checks": [ { "best_distance": 0.05027667101095967, "edge_kind": "resolution", "eigenfunction_mismatch": 4.72053428128838e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j6", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05027667101095967, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j5", "reverse_second_best_gap": 0.05816827651880507, "reverse_second_distance": 0.10844494752976475, "reverse_unambiguous": true, "second_best_gap": 0.1920295136612884, "second_distance": 0.24230618467224807, "unambiguous": true }, { "best_distance": 0.015178498349632703, "edge_kind": "map", "eigenfunction_mismatch": 4.734536439565673e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j7", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.015178498349632703, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j5", "reverse_second_best_gap": 0.048390763955105116, "reverse_second_distance": 0.06356926230473782, "reverse_unambiguous": true, "second_best_gap": 0.22870797889187436, "second_distance": 0.24388647724150705, "unambiguous": true }, { "best_distance": 0.15283753269249992, "edge_kind": "map", "eigenfunction_mismatch": 0.0005715880208876367, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j4", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.09466928325221295, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j6", "reverse_second_best_gap": 0.058168249440286965, "reverse_second_distance": 0.15283753269249992, "reverse_unambiguous": true, "second_best_gap": 0.10628388120517543, "second_distance": 0.25912141389767535, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15283753269249992, "max_resolution_difference": 0.05027667101095967, "omega_imag": -0.7669919718252872, "omega_real": 3.061159817168728e-16, "outgoing_phase_residual": 9.880984919163893e-15, "pencil_residual": 2.758058467945688e-16, "reference_difference": 0.7741800451679153, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.72053428128838e-05, "transformed_residual": 9.223828614920797e-14, "unfactored_residual": 4.111311055109167e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0325", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j6", "case": "schwarzschild", "coefficient_tail": 3.2696499566351673e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 7.369413403820802e-12, "infinity_row_residual": 2.241932077128953e-13, "ingoing_phase_residual": 6.478337022386427e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0002342465504120428, "matching_checks": [ { "best_distance": 0.10844494752976475, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0002414575637633698, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j6", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.05027667101095967, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j5", "reverse_second_best_gap": 0.05816827651880507, "reverse_second_distance": 0.10844494752976475, "reverse_unambiguous": true, "second_best_gap": 0.09313381136745677, "second_distance": 0.20157875889722152, "unambiguous": true }, { "best_distance": 0.06356926230473782, "edge_kind": "map", "eigenfunction_mismatch": 8.996018188844879e-05, "failure_reasons": [ "nonreciprocal", "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j7", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.015178498349632703, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j5", "reverse_second_best_gap": 0.048390763955105116, "reverse_second_distance": 0.06356926230473782, "reverse_unambiguous": true, "second_best_gap": 0.15606742788410322, "second_distance": 0.21963669018884105, "unambiguous": true }, { "best_distance": 0.09466928325221295, "edge_kind": "map", "eigenfunction_mismatch": 0.0002342465504120428, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j4", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.09466928325221295, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j6", "reverse_second_best_gap": 0.058168249440286965, "reverse_second_distance": 0.15283753269249992, "reverse_unambiguous": true, "second_best_gap": 0.14329296128954216, "second_distance": 0.23796224454175513, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.09466928325221295, "max_resolution_difference": 0.10844494752976475, "omega_imag": -0.8251602483440923, "omega_real": 9.975213409131693e-16, "outgoing_phase_residual": 9.2148511043888e-15, "pencil_residual": 3.8584908611692944e-16, "reference_difference": 0.8256015526763152, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0002414575637633698, "transformed_residual": 7.412033474022818e-14, "unfactored_residual": 2.768584582848658e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0326", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j7", "case": "schwarzschild", "coefficient_tail": 5.739965996574572e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.3660086596153546e-13, "infinity_row_residual": 2.2778064239402043e-13, "ingoing_phase_residual": 5.2434054186016504e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.540848338407404e-05, "matching_checks": [ { "best_distance": 0.06776435101293, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00030195262271170975, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j8", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.06776435101293, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j7", "reverse_second_best_gap": 0.18663567539040504, "reverse_second_distance": 0.25440002640333503, "reverse_unambiguous": true, "second_best_gap": 0.011048136243995046, "second_distance": 0.07881248725692505, "unambiguous": true }, { "best_distance": 0.03560410511778653, "edge_kind": "map", "eigenfunction_mismatch": 9.540848338407404e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j8", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03560410511778653, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j7", "reverse_second_best_gap": 0.15672576011488426, "reverse_second_distance": 0.1923298652326708, "reverse_unambiguous": true, "second_best_gap": 0.18203130066311213, "second_distance": 0.21763540578089866, "unambiguous": true }, { "best_distance": 0.0328363281179442, "edge_kind": "map", "eigenfunction_mismatch": 7.695108259742067e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j5", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0328363281179442, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j7", "reverse_second_best_gap": 0.20512591642381092, "reverse_second_distance": 0.23796224454175513, "reverse_unambiguous": true, "second_best_gap": 0.1845294157866283, "second_distance": 0.2173657439045725, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.03560410511778653, "max_resolution_difference": 0.06776435101293, "omega_imag": -0.9214642247915045, "omega_real": 0.22997207341705583, "outgoing_phase_residual": 8.004055474699982e-15, "pencil_residual": 4.06319429280063e-16, "reference_difference": 0.8448130011199261, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00030195262271170975, "transformed_residual": 5.984545667697613e-14, "unfactored_residual": 2.2219670631473302e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0327", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j8", "case": "schwarzschild", "coefficient_tail": 4.539886012459143e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.389571183613356e-13, "infinity_row_residual": 3.4421759372175e-13, "ingoing_phase_residual": 7.183571885242723e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.206577352063647e-08, "matching_checks": [ { "best_distance": 0.0005146476952197997, "edge_kind": "resolution", "eigenfunction_mismatch": 5.807316738604129e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.0:j9", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005146476952197997, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j8", "reverse_second_best_gap": 0.2168357391216575, "reverse_second_distance": 0.2173503868168773, "reverse_unambiguous": true, "second_best_gap": 0.23168140790963668, "second_distance": 0.23219605560485648, "unambiguous": true }, { "best_distance": 0.0005316766147363717, "edge_kind": "map", "eigenfunction_mismatch": 6.206577352063647e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j9", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0005316766147363717, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j8", "reverse_second_best_gap": 0.21710372916616227, "reverse_second_distance": 0.21763540578089866, "reverse_unambiguous": true, "second_best_gap": 0.1917981886179344, "second_distance": 0.1923298652326708, "unambiguous": true }, { "best_distance": 0.00020162393664858598, "edge_kind": "map", "eigenfunction_mismatch": 8.940218787500953e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.4:j6", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00020162393664858598, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j8", "reverse_second_best_gap": 0.21716411996792392, "reverse_second_distance": 0.2173657439045725, "reverse_unambiguous": true, "second_best_gap": 0.2319963441903277, "second_distance": 0.23219796812697627, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005316766147363717, "max_resolution_difference": 0.0005146476952197997, "omega_imag": -0.7051986507284692, "omega_real": 0.25184217841472767, "outgoing_phase_residual": 1.0112175573993643e-14, "pencil_residual": 5.195584615303714e-16, "reference_difference": 0.6281637120655472, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.807316738604129e-08, "transformed_residual": 8.352736750511784e-14, "unfactored_residual": 2.6189107370440934e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j9", "case": "schwarzschild", "coefficient_tail": 5.1052263758058405e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.044813105968659e-13, "infinity_row_residual": 6.01770213570831e-13, "ingoing_phase_residual": 9.92307093769866e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.2835292524709985e-12, "matching_checks": [ { "best_distance": 2.428199147228707e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 7.971401316808624e-14, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j10", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.428199147228707e-07, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j9", "reverse_second_best_gap": 0.20940044659637994, "reverse_second_distance": 0.20940068941629467, "reverse_unambiguous": true, "second_best_gap": 0.20940063169843576, "second_distance": 0.2094008745183505, "unambiguous": true }, { "best_distance": 1.1295924519997058e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.7261747586871934e-12, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j10", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1295924519997058e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j9", "reverse_second_best_gap": 0.20939867284149424, "reverse_second_distance": 0.20939980243394624, "reverse_unambiguous": true, "second_best_gap": 0.20939974572915812, "second_distance": 0.2094008753216101, "unambiguous": true }, { "best_distance": 2.1555082824343273e-06, "edge_kind": "map", "eigenfunction_mismatch": 6.2835292524709985e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j7", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.1555082824343273e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j9", "reverse_second_best_gap": 0.20939661737061638, "reverse_second_distance": 0.20939877287889883, "reverse_unambiguous": true, "second_best_gap": 0.20939871990324974, "second_distance": 0.20940087541153218, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.1555082824343273e-06, "max_resolution_difference": 2.428199147228707e-07, "omega_imag": -0.4782775871542726, "omega_real": 0.3010534861823305, "outgoing_phase_residual": 1.3292341924658745e-14, "pencil_residual": 7.25856256725947e-16, "reference_difference": 0.39603002829473677, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.971401316808624e-14, "transformed_residual": 1.1797252992605244e-13, "unfactored_residual": 5.2869591821975334e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j10", "case": "schwarzschild", "coefficient_tail": 5.094253270786075e-15, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.109391199803365e-13, "infinity_row_residual": 1.1729177067977421e-12, "ingoing_phase_residual": 1.0806778462604606e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 5.858080526652034e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j11", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.858080526652034e-10, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j10", "reverse_second_best_gap": 0.18690727059496237, "reverse_second_distance": 0.1869072711807704, "reverse_unambiguous": true, "second_best_gap": 0.1869072707295928, "second_distance": 0.18690727131540083, "unambiguous": true }, { "best_distance": 9.936788981363605e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j11", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.936788981363605e-10, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j10", "reverse_second_best_gap": 0.18690726935649266, "reverse_second_distance": 0.18690727035017154, "reverse_unambiguous": true, "second_best_gap": 0.1869072703217949, "second_distance": 0.1869072713154738, "unambiguous": true }, { "best_distance": 1.9219692516614062e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j8", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.9219692516614062e-09, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j10", "reverse_second_best_gap": 0.18690726820654283, "reverse_second_distance": 0.18690727012851208, "reverse_unambiguous": true, "second_best_gap": 0.18690726939312333, "second_distance": 0.18690727131509258, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.9219692516614062e-09, "max_resolution_difference": 5.858080526652034e-10, "omega_imag": -0.2739148755298459, "omega_real": 0.3467109967638382, "outgoing_phase_residual": 1.6914239581928583e-14, "pencil_residual": 1.1717111087779743e-15, "reference_difference": 0.18690727131519788, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 2.41158994123184e-13, "unfactored_residual": 2.2055449039781298e-13 }, { "N": 44, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.0:j11", "case": "schwarzschild", "coefficient_tail": 1.0816610636540928e-14, "failure_reasons": [], "horizon_row_residual": 3.478450074110311e-12, "infinity_row_residual": 7.674970933593404e-12, "ingoing_phase_residual": 9.23520144141444e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.9517999875883483e-13, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.0:j12", "peer_configuration": [ "schwarzschild", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9517999875883483e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j11", "reverse_second_best_gap": 0.18690727131520565, "reverse_second_distance": 0.18690727131540083, "reverse_unambiguous": true, "second_best_gap": 0.18690727118057524, "second_distance": 0.1869072711807704, "unambiguous": true }, { "best_distance": 4.4493311794137086e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j12", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.4493311794137086e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j11", "reverse_second_best_gap": 0.18690727131502888, "reverse_second_distance": 0.1869072713154738, "reverse_unambiguous": true, "second_best_gap": 0.18690727034972662, "second_distance": 0.18690727035017154, "unambiguous": true }, { "best_distance": 2.5005125812448033e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.4:j9", "peer_configuration": [ "schwarzschild", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5005125812448033e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.0:j11", "reverse_second_best_gap": 0.18690727131484253, "reverse_second_distance": 0.18690727131509258, "reverse_unambiguous": true, "second_best_gap": 0.18690727012826203, "second_distance": 0.18690727012851208, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.4493311794137086e-13, "max_resolution_difference": 1.9517999875883483e-13, "omega_imag": -0.08896231568890438, "omega_real": 0.3736716844180929, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 3.8638733286457755e-15, "reference_difference": 5.991034567263451e-14, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.1235157911378568e-12, "unfactored_residual": 9.255644749962594e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0328", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j0", "case": "schwarzschild", "coefficient_tail": 0.007901220355324881, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.1252715819584238e-08, "infinity_row_residual": 6.185081133659522e-13, "ingoing_phase_residual": 1.707546960424966e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.05227441833008484, "matching_checks": [ { "best_distance": 0.007536936316969566, "edge_kind": "resolution", "eigenfunction_mismatch": 0.1630688466586515, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j0", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007536936316969566, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j0", "reverse_second_best_gap": 0.07741403648777043, "reverse_second_distance": 0.08495097280474, "reverse_unambiguous": true, "second_best_gap": 0.04404075373023085, "second_distance": 0.05157769004720042, "unambiguous": true }, { "best_distance": 0.0054945296998658065, "edge_kind": "map", "eigenfunction_mismatch": 0.05227441833008484, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j0", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0054945296998658065, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j0", "reverse_second_best_gap": 0.07741403648777043, "reverse_second_distance": 0.08290856618763623, "reverse_unambiguous": true, "second_best_gap": 0.004036578163516835, "second_distance": 0.009531107863382642, "unambiguous": true }, { "best_distance": 0.0031477055502237526, "edge_kind": "map", "eigenfunction_mismatch": 0.012821597340204494, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j1", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0031477055502237526, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j0", "reverse_second_best_gap": 0.07741403648777043, "reverse_second_distance": 0.08056174203799418, "reverse_unambiguous": true, "second_best_gap": 0.004669837623295408, "second_distance": 0.00781754317351916, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0054945296998658065, "max_resolution_difference": 0.007536936316969566, "omega_imag": -0.010925709151275595, "omega_real": 2.591391979761058e-13, "outgoing_phase_residual": 6.864595697431142e-13, "pencil_residual": 4.773837716650794e-14, "reference_difference": 0.38173320486373274, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.1630688466586515, "transformed_residual": 1.0, "unfactored_residual": 0.9929166026015448 }, { "N": 44, "accepted": false, "branch_id": "branch-0329", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j1", "case": "schwarzschild", "coefficient_tail": 3.922155083919466e-06, "failure_reasons": [ "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.7676062955183003e-10, "infinity_row_residual": 1.7152027272536457e-12, "ingoing_phase_residual": 2.3201327882527156e-07, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.013104355554964142, "matching_checks": [ { "best_distance": 0.025836346440570007, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012803431801085119, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j1", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.025836346440570007, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j1", "reverse_second_best_gap": 0.025741343606630412, "reverse_second_distance": 0.05157769004720042, "reverse_unambiguous": true, "second_best_gap": 0.05880487136685446, "second_distance": 0.08464121780742447, "unambiguous": true }, { "best_distance": 0.02046717227375812, "edge_kind": "map", "eigenfunction_mismatch": 0.007435349876667385, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j3", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.02046717227375812, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j1", "reverse_second_best_gap": 0.03647969194025419, "reverse_second_distance": 0.05694686421401231, "reverse_unambiguous": true, "second_best_gap": 0.034246819542947365, "second_distance": 0.054713991816705485, "unambiguous": true }, { "best_distance": 0.02608931262905194, "edge_kind": "map", "eigenfunction_mismatch": 0.013104355554964142, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j2", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.02608931262905194, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j1", "reverse_second_best_gap": 0.02523541122966655, "reverse_second_distance": 0.05132472385871849, "reverse_unambiguous": true, "second_best_gap": 0.03228452060059128, "second_distance": 0.05837383322964322, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02608931262905194, "max_resolution_difference": 0.025836346440570007, "omega_imag": -0.08833974563904602, "omega_real": 2.305557451065059e-11, "outgoing_phase_residual": 8.490430580820885e-14, "pencil_residual": 1.0552513480210754e-14, "reference_difference": 0.3736722030229881, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012803431801085119, "transformed_residual": 9.604331607858242e-05, "unfactored_residual": 0.0021207071721332607 }, { "N": 44, "accepted": false, "branch_id": "branch-0330", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j2", "case": "schwarzschild", "coefficient_tail": 1.995161116302938e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.856430485796253e-11, "infinity_row_residual": 8.922767819358148e-13, "ingoing_phase_residual": 9.961815407300016e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.010942458991082704, "matching_checks": [ { "best_distance": 0.03937131032862257, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003168563556723125, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j2", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03937131032862257, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j2", "reverse_second_best_gap": 0.04526990747880189, "reverse_second_distance": 0.08464121780742447, "reverse_unambiguous": true, "second_best_gap": 0.11047756424799449, "second_distance": 0.14984887457661705, "unambiguous": true }, { "best_distance": 0.05238591878340135, "edge_kind": "map", "eigenfunction_mismatch": 0.002820851270392555, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j5", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05238591878340135, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j2", "reverse_second_best_gap": 0.1240125281360189, "reverse_second_distance": 0.17639844691942025, "reverse_unambiguous": true, "second_best_gap": 0.016912617535940228, "second_distance": 0.06929853631934157, "unambiguous": true }, { "best_distance": 0.06563869490640382, "edge_kind": "map", "eigenfunction_mismatch": 0.010942458991082704, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j3", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.05837383322964322, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j1", "reverse_second_best_gap": 0.007264861676760603, "reverse_second_distance": 0.06563869490640382, "reverse_unambiguous": true, "second_best_gap": 0.015885061874813353, "second_distance": 0.08152375678121718, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.06563869490640382, "max_resolution_difference": 0.03937131032862257, "omega_imag": -0.21235227377509305, "omega_real": 1.242078054374431e-09, "outgoing_phase_residual": 3.533284775869561e-14, "pencil_residual": 2.119669869139876e-15, "reference_difference": 0.3935169736670345, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.003168563556723125, "transformed_residual": 3.826405226300026e-07, "unfactored_residual": 2.091031856259957e-06 }, { "N": 44, "accepted": false, "branch_id": "branch-0331", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j3", "case": "schwarzschild", "coefficient_tail": 3.504336786876864e-11, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.9885784619228475e-11, "infinity_row_residual": 2.1379867709367047e-12, "ingoing_phase_residual": 1.9130148665175452e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0033374062165058005, "matching_checks": [ { "best_distance": 0.052389924289827604, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0001463532306537063, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j3", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.052389924289827604, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j3", "reverse_second_best_gap": 0.1286642064922222, "reverse_second_distance": 0.18105413078204982, "reverse_unambiguous": true, "second_best_gap": 0.22042544111056137, "second_distance": 0.272815365400389, "unambiguous": true }, { "best_distance": 0.010492493443537589, "edge_kind": "map", "eigenfunction_mismatch": 3.0495490859205887e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j6", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.010492493443537589, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j3", "reverse_second_best_gap": 0.2334440513335872, "reverse_second_distance": 0.2439365447771248, "reverse_unambiguous": true, "second_best_gap": 0.1705656428448461, "second_distance": 0.1810581362883837, "unambiguous": true }, { "best_distance": 0.15192029829058348, "edge_kind": "map", "eigenfunction_mismatch": 0.0033374062165058005, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j4", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.08152375678121718, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j2", "reverse_second_best_gap": 0.0703965415093663, "reverse_second_distance": 0.15192029829058348, "reverse_unambiguous": true, "second_best_gap": 0.1471624516875831, "second_distance": 0.2990827499781666, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15192029829058348, "max_resolution_difference": 0.052389924289827604, "omega_imag": -0.4457963288468168, "omega_real": 1.5288919806446492e-07, "outgoing_phase_residual": 1.6875389974303358e-14, "pencil_residual": 2.845784304619518e-15, "reference_difference": 0.5166826167208168, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0001463532306537063, "transformed_residual": 5.153523444862748e-10, "unfactored_residual": 9.006791516411865e-10 }, { "N": 44, "accepted": false, "branch_id": "branch-0332", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j4", "case": "schwarzschild", "coefficient_tail": 1.5825556625993234e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.389962233994176e-12, "infinity_row_residual": 3.163909381083669e-12, "ingoing_phase_residual": 5.55208502201712e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0006024684948674475, "matching_checks": [ { "best_distance": 0.03540219855817876, "edge_kind": "resolution", "eigenfunction_mismatch": 3.4621535207501886e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j4", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03540219855817876, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j4", "reverse_second_best_gap": 0.17917414151029115, "reverse_second_distance": 0.2145763400684699, "reverse_unambiguous": true, "second_best_gap": 0.17328568492309732, "second_distance": 0.20868788348127607, "unambiguous": true }, { "best_distance": 0.1571894684164958, "edge_kind": "map", "eigenfunction_mismatch": 0.0006024684948674475, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j7", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.1571894684164958, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j4", "reverse_second_best_gap": 0.08675354262309107, "reverse_second_distance": 0.24394301103958688, "reverse_unambiguous": true, "second_best_gap": 0.05344543585930725, "second_distance": 0.21063490427580306, "unambiguous": true }, { "best_distance": 0.09466928325221295, "edge_kind": "map", "eigenfunction_mismatch": 0.0002342465504120428, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j6", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.09466928325221295, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j4", "reverse_second_best_gap": 0.14329296128954216, "reverse_second_distance": 0.23796224454175513, "reverse_unambiguous": true, "second_best_gap": 0.058168249440286965, "second_distance": 0.15283753269249992, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.1571894684164958, "max_resolution_difference": 0.03540219855817876, "omega_imag": -0.9198294604473128, "omega_real": 0.00011606568470716788, "outgoing_phase_residual": 8.215650448501211e-15, "pencil_residual": 4.713031088578886e-15, "reference_difference": 0.9109796992942172, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.4621535207501886e-05, "transformed_residual": 4.374215332904247e-14, "unfactored_residual": 1.6128002067766203e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0333", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j5", "case": "schwarzschild", "coefficient_tail": 6.827666603596726e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3982525779277887e-12, "infinity_row_residual": 3.3422731484991356e-12, "ingoing_phase_residual": 5.136872516192555e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.00016506970604324156, "matching_checks": [ { "best_distance": 0.004887782691326003, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4457124334343874e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j5", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004887782691326003, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j5", "reverse_second_best_gap": 0.20380010078995006, "reverse_second_distance": 0.20868788348127607, "reverse_unambiguous": true, "second_best_gap": 0.2096885573771439, "second_distance": 0.2145763400684699, "unambiguous": true }, { "best_distance": 0.0514323985584696, "edge_kind": "map", "eigenfunction_mismatch": 0.00016506970604324156, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j8", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0514323985584696, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j5", "reverse_second_best_gap": 0.14086975222769366, "reverse_second_distance": 0.19230215078616325, "reverse_unambiguous": true, "second_best_gap": 0.1919761785380588, "second_distance": 0.24340857709652838, "unambiguous": true }, { "best_distance": 0.0328363281179442, "edge_kind": "map", "eigenfunction_mismatch": 7.695108259742067e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j7", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0328363281179442, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j5", "reverse_second_best_gap": 0.1845294157866283, "reverse_second_distance": 0.2173657439045725, "reverse_unambiguous": true, "second_best_gap": 0.20512591642381092, "second_distance": 0.23796224454175513, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0514323985584696, "max_resolution_difference": 0.004887782691326003, "omega_imag": -0.9440480324097049, "omega_real": 0.2061352095769152, "outgoing_phase_residual": 7.725080275102835e-15, "pencil_residual": 5.043410180041021e-15, "reference_difference": 0.871343820395866, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.4457124334343874e-06, "transformed_residual": 4.472538436085447e-14, "unfactored_residual": 3.821284986729711e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0334", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j6", "case": "schwarzschild", "coefficient_tail": 1.3532151024763332e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3677934366365611e-12, "infinity_row_residual": 3.930887200450083e-12, "ingoing_phase_residual": 7.185116585303558e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 3.0539622719594206e-08, "matching_checks": [ { "best_distance": 0.0001855326963070636, "edge_kind": "resolution", "eigenfunction_mismatch": 7.555792436164666e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "schwarzschild:N40:c1.4:j6", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0001855326963070636, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j6", "reverse_second_best_gap": 0.2318548702471657, "reverse_second_distance": 0.23204040294347275, "reverse_unambiguous": true, "second_best_gap": 0.23203743602260862, "second_distance": 0.23222296871891568, "unambiguous": true }, { "best_distance": 0.00037330390376131753, "edge_kind": "map", "eigenfunction_mismatch": 3.0539622719594206e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "schwarzschild:N44:c0.7:j9", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00037330390376131753, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j6", "reverse_second_best_gap": 0.23161231458772974, "reverse_second_distance": 0.23198561849149105, "reverse_unambiguous": true, "second_best_gap": 0.19192884688240194, "second_distance": 0.19230215078616325, "unambiguous": true }, { "best_distance": 0.00020162393664858598, "edge_kind": "map", "eigenfunction_mismatch": 8.940218787500953e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "schwarzschild:N44:c1.0:j8", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00020162393664858598, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j6", "reverse_second_best_gap": 0.2319963441903277, "reverse_second_distance": 0.23219796812697627, "reverse_unambiguous": true, "second_best_gap": 0.21716411996792392, "second_distance": 0.2173657439045725, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00037330390376131753, "max_resolution_difference": 0.0001855326963070636, "omega_imag": -0.7051812826245357, "omega_real": 0.2516413039245717, "outgoing_phase_residual": 9.902791085360078e-15, "pencil_residual": 4.9451154064846995e-15, "reference_difference": 0.6281856644134433, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.555792436164666e-09, "transformed_residual": 6.081511360540256e-14, "unfactored_residual": 2.631541538636194e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0231", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j7", "case": "schwarzschild", "coefficient_tail": 4.323855615491408e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 8.100344792582851e-13, "infinity_row_residual": 4.785919554951536e-12, "ingoing_phase_residual": 9.923082697284164e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.2835292524709985e-12, "matching_checks": [ { "best_distance": 4.382962760245512e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.596545201072331e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j7", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.382962760245512e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j7", "reverse_second_best_gap": 0.2093950998440307, "reverse_second_distance": 0.20939948280679097, "reverse_unambiguous": true, "second_best_gap": 0.20939438307067515, "second_distance": 0.2093987660334354, "unambiguous": true }, { "best_distance": 1.0369115675138012e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.4533929615367924e-12, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j10", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.0369115675138012e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j7", "reverse_second_best_gap": 0.2093987665924031, "reverse_second_distance": 0.20939980350397064, "reverse_unambiguous": true, "second_best_gap": 0.2093977369474305, "second_distance": 0.20939877385899802, "unambiguous": true }, { "best_distance": 2.1555082824343273e-06, "edge_kind": "map", "eigenfunction_mismatch": 6.2835292524709985e-12, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j9", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.1555082824343273e-06, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j7", "reverse_second_best_gap": 0.20939871990324974, "reverse_second_distance": 0.20940087541153218, "reverse_unambiguous": true, "second_best_gap": 0.20939661737061638, "second_distance": 0.20939877287889883, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.1555082824343273e-06, "max_resolution_difference": 4.382962760245512e-06, "omega_imag": -0.4782756408353943, "omega_real": 0.3010544124969529, "outgoing_phase_residual": 1.3274943715714489e-14, "pencil_residual": 5.0781764013764075e-15, "reference_difference": 0.39602794512237843, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.596545201072331e-11, "transformed_residual": 6.04887911039226e-13, "unfactored_residual": 7.399081053172781e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0193", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j8", "case": "schwarzschild", "coefficient_tail": 6.134429085072361e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.2783688907985643e-12, "infinity_row_residual": 5.950872307825777e-12, "ingoing_phase_residual": 1.0806778504292241e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 8.3880522566931e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 8.881784197001252e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j8", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.3880522566931e-09, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j8", "reverse_second_best_gap": 0.18690726984164532, "reverse_second_distance": 0.18690727822969758, "reverse_unambiguous": true, "second_best_gap": 0.1869072617422304, "second_distance": 0.18690727013028266, "unambiguous": true }, { "best_distance": 1.7625748640264617e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j11", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.7625748640264617e-09, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j8", "reverse_second_best_gap": 0.18690726858745302, "reverse_second_distance": 0.18690727035002788, "reverse_unambiguous": true, "second_best_gap": 0.18690726836617477, "second_distance": 0.18690727012874964, "unambiguous": true }, { "best_distance": 1.9219692516614062e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j10", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.9219692516614062e-09, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j8", "reverse_second_best_gap": 0.18690726939312333, "reverse_second_distance": 0.18690727131509258, "reverse_unambiguous": true, "second_best_gap": 0.18690726820654283, "second_distance": 0.18690727012851208, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.9219692516614062e-09, "max_resolution_difference": 8.3880522566931e-09, "omega_imag": -0.27391487413745574, "omega_real": 0.34671099543899275, "outgoing_phase_residual": 1.6992216372873033e-14, "pencil_residual": 4.900494440425443e-15, "reference_difference": 0.18690727012847372, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.881784197001252e-16, "transformed_residual": 1.212596242043036e-12, "unfactored_residual": 1.7857025821148345e-12 }, { "N": 44, "accepted": true, "branch_id": "branch-0174", "branch_unique": true, "candidate_id": "schwarzschild:N44:c1.4:j9", "case": "schwarzschild", "coefficient_tail": 4.002964048427967e-14, "failure_reasons": [], "horizon_row_residual": 2.9249989859193317e-12, "infinity_row_residual": 1.881014159785349e-11, "ingoing_phase_residual": 9.235201447061876e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.9148758259383048e-12, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "schwarzschild:N40:c1.4:j9", "peer_configuration": [ "schwarzschild", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.9148758259383048e-12, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j9", "reverse_second_best_gap": 0.18690727012836778, "reverse_second_distance": 0.18690727013028266, "reverse_unambiguous": true, "second_best_gap": 0.1869072782277827, "second_distance": 0.18690727822969758, "unambiguous": true }, { "best_distance": 6.947936795422045e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 12, "passed": true, "peer_candidate_id": "schwarzschild:N44:c0.7:j12", "peer_configuration": [ "schwarzschild", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.947936795422045e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j9", "reverse_second_best_gap": 0.18690727012805483, "reverse_second_distance": 0.18690727012874964, "reverse_unambiguous": true, "second_best_gap": 0.18690727034933308, "second_distance": 0.18690727035002788, "unambiguous": true }, { "best_distance": 2.5005125812448033e-13, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 11, "passed": true, "peer_candidate_id": "schwarzschild:N44:c1.0:j11", "peer_configuration": [ "schwarzschild", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.5005125812448033e-13, "reverse_nearest_candidate_id": "schwarzschild:N44:c1.4:j9", "reverse_second_best_gap": 0.18690727012826203, "reverse_second_distance": 0.18690727012851208, "reverse_unambiguous": true, "second_best_gap": 0.18690727131484253, "second_distance": 0.18690727131509258, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 6.947936795422045e-13, "max_resolution_difference": 1.9148758259383048e-12, "omega_imag": -0.08896231568907606, "omega_real": 0.3736716844182747, "outgoing_phase_residual": 1.9513220827482173e-14, "pencil_residual": 7.855337775864319e-15, "reference_difference": 2.7189890714210067e-13, "reference_label": "schwarzschild:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 7.215497329650317e-13, "unfactored_residual": 8.528379911096319e-13 }, { "N": 12, "accepted": false, "branch_id": "branch-0000", "branch_unique": true, "candidate_id": "kerr-radial:N12:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 1.5956640986163994e-07, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.641941212818887e-12, "infinity_row_residual": 9.229736067637385e-14, "ingoing_phase_residual": 7.539713595180838e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.008623440688556139, "matching_checks": [ { "best_distance": 0.23533052013230182, "edge_kind": "resolution", "eigenfunction_mismatch": 0.007926491195098806, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j1", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0756649230062722, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j1", "reverse_second_best_gap": 0.15460416468763197, "reverse_second_distance": 0.23026908769390417, "reverse_unambiguous": true, "second_best_gap": 0.1687778243908527, "second_distance": 0.40410834452315453, "unambiguous": true }, { "best_distance": 0.21643056506894143, "edge_kind": "map", "eigenfunction_mismatch": 0.006818124111143908, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j0", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.07226512853944608, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j1", "reverse_second_best_gap": 0.1394580899004792, "reverse_second_distance": 0.21172321843992528, "reverse_unambiguous": true, "second_best_gap": 0.1832289321185222, "second_distance": 0.39965949718746363, "unambiguous": true }, { "best_distance": 0.2391854871623531, "edge_kind": "map", "eigenfunction_mismatch": 0.008623440688556139, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j0", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.057733451951099704, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j1", "reverse_second_best_gap": 0.11496447642166015, "reverse_second_distance": 0.17269792837275985, "reverse_unambiguous": true, "second_best_gap": 0.10887604424006053, "second_distance": 0.34806153140241364, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2391854871623531, "max_resolution_difference": 0.23533052013230182, "omega_imag": -0.9954767248442913, "omega_real": 0.036472248455078314, "outgoing_phase_residual": 5.220082428411055e-15, "pencil_residual": 4.3394974147370027e-16, "reference_difference": 0.9812645682550468, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.007926491195098806, "transformed_residual": 1.7652427930420536e-10, "unfactored_residual": 2.0684745937102364e-12 }, { "N": 12, "accepted": false, "branch_id": "branch-0001", "branch_unique": true, "candidate_id": "kerr-radial:N12:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 1.9911808093998553e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.318169369294488e-13, "infinity_row_residual": 1.1262677600249514e-13, "ingoing_phase_residual": 8.506270038597164e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0009421701063376808, "matching_checks": [ { "best_distance": 0.0756649230062722, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010204055302337478, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j1", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0756649230062722, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j1", "reverse_second_best_gap": 0.15460416468763197, "reverse_second_distance": 0.23026908769390417, "reverse_unambiguous": true, "second_best_gap": 0.08350764185155107, "second_distance": 0.15917256485782327, "unambiguous": true }, { "best_distance": 0.07226512853944608, "edge_kind": "map", "eigenfunction_mismatch": 0.0009421701063376808, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j0", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.07226512853944608, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j1", "reverse_second_best_gap": 0.1394580899004792, "reverse_second_distance": 0.21172321843992528, "reverse_unambiguous": true, "second_best_gap": 0.0902694601046832, "second_distance": 0.16253458864412929, "unambiguous": true }, { "best_distance": 0.057733451951099704, "edge_kind": "map", "eigenfunction_mismatch": 0.0006272411119880861, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j0", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.057733451951099704, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j1", "reverse_second_best_gap": 0.11496447642166015, "reverse_second_distance": 0.17269792837275985, "reverse_unambiguous": true, "second_best_gap": 0.04660810699998896, "second_distance": 0.10434155895108867, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07226512853944608, "max_resolution_difference": 0.0756649230062722, "omega_imag": -0.8500038806424334, "omega_real": 0.2850755511863027, "outgoing_phase_residual": 6.0231517643534004e-15, "pencil_residual": 4.620261778484602e-16, "reference_difference": 0.7725851846815494, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0010204055302337478, "transformed_residual": 1.5256916470073518e-09, "unfactored_residual": 1.819331160678454e-11 }, { "N": 12, "accepted": false, "branch_id": "branch-0002", "branch_unique": true, "candidate_id": "kerr-radial:N12:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 9.39807259987922e-07, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3159081017153107e-13, "infinity_row_residual": 1.326708935330566e-13, "ingoing_phase_residual": 8.098055630061502e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.000859065865782882, "matching_checks": [ { "best_distance": 0.004362571768302932, "edge_kind": "resolution", "eigenfunction_mismatch": 6.1071046812966046e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j2", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004362571768302932, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j2", "reverse_second_best_gap": 0.15480999308952034, "reverse_second_distance": 0.15917256485782327, "reverse_unambiguous": true, "second_best_gap": 0.22177138038086297, "second_distance": 0.2261339521491659, "unambiguous": true }, { "best_distance": 0.01092499983114385, "edge_kind": "map", "eigenfunction_mismatch": 3.796199816175072e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j1", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01092499983114385, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j2", "reverse_second_best_gap": 0.15160958881298545, "reverse_second_distance": 0.16253458864412929, "reverse_unambiguous": true, "second_best_gap": 0.20079821860878144, "second_distance": 0.21172321843992528, "unambiguous": true }, { "best_distance": 0.055315477886077526, "edge_kind": "map", "eigenfunction_mismatch": 0.000859065865782882, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j1", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.055315477886077526, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j2", "reverse_second_best_gap": 0.04902608106501114, "reverse_second_distance": 0.10434155895108867, "reverse_unambiguous": true, "second_best_gap": 0.11738245048668233, "second_distance": 0.17269792837275985, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.055315477886077526, "max_resolution_difference": 0.004362571768302932, "omega_imag": -0.6945422211570623, "omega_real": 0.29971645580363676, "outgoing_phase_residual": 7.203628004108047e-15, "pencil_residual": 4.039251653957852e-16, "reference_difference": 0.6168597620686438, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.1071046812966046e-06, "transformed_residual": 3.8112913364444803e-10, "unfactored_residual": 4.763973832121396e-12 }, { "N": 12, "accepted": false, "branch_id": "branch-0003", "branch_unique": true, "candidate_id": "kerr-radial:N12:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 2.601656847265941e-07, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.88870614326237e-14, "infinity_row_residual": 2.4429290169329286e-13, "ingoing_phase_residual": 3.4839254495162116e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 7.792235342007903e-05, "matching_checks": [ { "best_distance": 0.00031652213029993357, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4597242348202144e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j3", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00031652213029993357, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j3", "reverse_second_best_gap": 0.20411243558210027, "reverse_second_distance": 0.2044289577124002, "reverse_unambiguous": true, "second_best_gap": 0.20379611023415, "second_distance": 0.20411263236444993, "unambiguous": true }, { "best_distance": 0.00142027744808578, "edge_kind": "map", "eigenfunction_mismatch": 2.931145137941016e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j2", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00142027744808578, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j3", "reverse_second_best_gap": 0.202334712405006, "reverse_second_distance": 0.2037549898530918, "reverse_unambiguous": true, "second_best_gap": 0.20274894787723957, "second_distance": 0.20416922532532536, "unambiguous": true }, { "best_distance": 0.0073915495933908225, "edge_kind": "map", "eigenfunction_mismatch": 7.792235342007903e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j2", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0073915495933908225, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j3", "reverse_second_best_gap": 0.2040702401969888, "reverse_second_distance": 0.21146178979037963, "reverse_unambiguous": true, "second_best_gap": 0.19633733326399644, "second_distance": 0.20372888285738727, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0073915495933908225, "max_resolution_difference": 0.00031652213029993357, "omega_imag": -0.47298681855903807, "omega_real": 0.3465436020497207, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 5.102470433028008e-16, "reference_difference": 0.39059147807779415, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.4597242348202144e-07, "transformed_residual": 1.8764222302840297e-09, "unfactored_residual": 2.5553200434988884e-11 }, { "N": 12, "accepted": false, "branch_id": "branch-0004", "branch_unique": true, "candidate_id": "kerr-radial:N12:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 1.0477726562491257e-08, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.259274606415216e-14, "infinity_row_residual": 9.359992167049888e-13, "ingoing_phase_residual": 1.7545114540126237e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 5.614550377952554e-07, "matching_checks": [ { "best_distance": 9.402647429773656e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 3.242992541174772e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j4", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.402647429773656e-06, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j4", "reverse_second_best_gap": 0.18669834552789974, "reverse_second_distance": 0.1867077481753295, "reverse_unambiguous": true, "second_best_gap": 0.1866983528937548, "second_distance": 0.18670775554118457, "unambiguous": true }, { "best_distance": 7.224726190342695e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.914524083712621e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j3", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.224726190342695e-05, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j4", "reverse_second_best_gap": 0.18657655398729484, "reverse_second_distance": 0.18664880124919825, "reverse_unambiguous": true, "second_best_gap": 0.1866362872326083, "second_distance": 0.18670853449451172, "unambiguous": true }, { "best_distance": 0.0003912570211926872, "edge_kind": "map", "eigenfunction_mismatch": 5.614550377952554e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j3", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0003912570211926872, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j4", "reverse_second_best_gap": 0.18670497730786995, "reverse_second_distance": 0.18709623432906264, "reverse_unambiguous": true, "second_best_gap": 0.18631052117841046, "second_distance": 0.18670177819960315, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0003912570211926872, "max_resolution_difference": 9.402647429773656e-06, "omega_imag": -0.2725748404787753, "omega_real": 0.38523844702259535, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 9.625195756302409e-16, "reference_difference": 0.18670775572987705, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.242992541174772e-10, "transformed_residual": 2.4546430229106367e-09, "unfactored_residual": 5.509777324006895e-11 }, { "N": 12, "accepted": false, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N12:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 9.695579101775534e-09, "failure_reasons": [ "matching:map:frequency_difference" ], "horizon_row_residual": 4.0614590133091644e-13, "infinity_row_residual": 1.100285655231207e-12, "ingoing_phase_residual": 1.1289796503806932e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.6301426875031666e-10, "matching_checks": [ { "best_distance": 7.18266833820984e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 2.2537527399890678e-14, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c0.7:j5", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.18266833820984e-08, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j5", "reverse_second_best_gap": 0.1867076837145012, "reverse_second_distance": 0.18670775554118457, "reverse_unambiguous": true, "second_best_gap": 0.18670767634864613, "second_distance": 0.1867077481753295, "unambiguous": true }, { "best_distance": 8.464565033197987e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.1056268667839504e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N12:c1.0:j4", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.464565033197987e-07, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j5", "reverse_second_best_gap": 0.1867076880380084, "reverse_second_distance": 0.18670853449451172, "reverse_unambiguous": true, "second_best_gap": 0.18664795479269494, "second_distance": 0.18664880124919825, "unambiguous": true }, { "best_distance": 6.132555921930639e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.6301426875031666e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j4", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.132555921930639e-06, "reverse_nearest_candidate_id": "kerr-radial:N12:c0.7:j5", "reverse_second_best_gap": 0.1866956456436812, "reverse_second_distance": 0.18670177819960315, "reverse_unambiguous": true, "second_best_gap": 0.1870901017731407, "second_distance": 0.18709623432906264, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.132555921930639e-06, "max_resolution_difference": 7.18266833820984e-08, "omega_imag": -0.08725721090959394, "omega_real": 0.40797913703728056, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.325987785660598e-15, "reference_difference": 7.197983438196916e-08, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.2537527399890678e-14, "transformed_residual": 9.903599330670484e-10, "unfactored_residual": 4.797638687546343e-11 }, { "N": 12, "accepted": false, "branch_id": "branch-0006", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 1.5533804073132983e-07, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.236840588176928e-12, "infinity_row_residual": 3.352660108913819e-14, "ingoing_phase_residual": 9.17224165252326e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0009421701063376808, "matching_checks": [ { "best_distance": 0.049854968819043506, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00041367054524210634, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j1", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.049854968819043506, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j0", "reverse_second_best_gap": 0.18655580393211094, "reverse_second_distance": 0.23641077275115444, "reverse_unambiguous": true, "second_best_gap": 0.16449595637231917, "second_distance": 0.21435092519136267, "unambiguous": true }, { "best_distance": 0.07226512853944608, "edge_kind": "map", "eigenfunction_mismatch": 0.0009421701063376808, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j1", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07226512853944608, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j0", "reverse_second_best_gap": 0.0902694601046832, "reverse_second_distance": 0.16253458864412929, "reverse_unambiguous": true, "second_best_gap": 0.1394580899004792, "second_distance": 0.21172321843992528, "unambiguous": true }, { "best_distance": 0.04217734088718053, "edge_kind": "map", "eigenfunction_mismatch": 0.0003116588428812017, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j0", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.04217734088718053, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j0", "reverse_second_best_gap": 0.1336221384776182, "reverse_second_distance": 0.17579947936479873, "reverse_unambiguous": true, "second_best_gap": 0.11427603531586555, "second_distance": 0.15645337620304609, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07226512853944608, "max_resolution_difference": 0.049854968819043506, "omega_imag": -0.8935277143879345, "omega_real": 0.22738738343141002, "outgoing_phase_residual": 5.757191532588118e-15, "pencil_residual": 2.4047600958929835e-16, "reference_difference": 0.8262479063381062, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00041367054524210634, "transformed_residual": 1.1462270010182887e-09, "unfactored_residual": 1.3620255238027781e-11 }, { "N": 12, "accepted": false, "branch_id": "branch-0007", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 2.600922150381173e-07, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.396884612876522e-13, "infinity_row_residual": 5.3058732364116426e-14, "ingoing_phase_residual": 8.306823490211906e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0009966776590000226, "matching_checks": [ { "best_distance": 0.01312934905876839, "edge_kind": "resolution", "eigenfunction_mismatch": 5.5279649645134654e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j2", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01312934905876839, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j1", "reverse_second_best_gap": 0.20122157613259428, "reverse_second_distance": 0.21435092519136267, "reverse_unambiguous": true, "second_best_gap": 0.2081390615972714, "second_distance": 0.2212684106560398, "unambiguous": true }, { "best_distance": 0.01092499983114385, "edge_kind": "map", "eigenfunction_mismatch": 3.796199816175072e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j2", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01092499983114385, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j1", "reverse_second_best_gap": 0.20079821860878144, "reverse_second_distance": 0.21172321843992528, "reverse_unambiguous": true, "second_best_gap": 0.15160958881298545, "second_distance": 0.16253458864412929, "unambiguous": true }, { "best_distance": 0.05952942199821635, "edge_kind": "map", "eigenfunction_mismatch": 0.0009966776590000226, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j1", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05952942199821635, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j1", "reverse_second_best_gap": 0.09692395420482974, "reverse_second_distance": 0.15645337620304609, "reverse_unambiguous": true, "second_best_gap": 0.11627005736658239, "second_distance": 0.17579947936479873, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05952942199821635, "max_resolution_difference": 0.01312934905876839, "omega_imag": -0.6875881583623681, "omega_real": 0.2912905058893575, "outgoing_phase_residual": 7.180705899498363e-15, "pencil_residual": 4.2605394547899996e-16, "reference_difference": 0.611566477131725, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.5279649645134654e-05, "transformed_residual": 5.0329047734837524e-09, "unfactored_residual": 6.324892482813981e-11 }, { "N": 12, "accepted": false, "branch_id": "branch-0008", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 3.7857959083069965e-07, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.697382036915767e-13, "infinity_row_residual": 2.1700507796119465e-13, "ingoing_phase_residual": 3.4809330991190437e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.122776960635015e-05, "matching_checks": [ { "best_distance": 0.00145836931716832, "edge_kind": "resolution", "eigenfunction_mismatch": 3.0859859559972946e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j3", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00145836931716832, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j2", "reverse_second_best_gap": 0.2030378432860478, "reverse_second_distance": 0.2044962126032161, "reverse_unambiguous": true, "second_best_gap": 0.20229684547804036, "second_distance": 0.20375521479520867, "unambiguous": true }, { "best_distance": 0.00142027744808578, "edge_kind": "map", "eigenfunction_mismatch": 2.931145137941016e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j3", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00142027744808578, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j2", "reverse_second_best_gap": 0.20274894787723957, "reverse_second_distance": 0.20416922532532536, "reverse_unambiguous": true, "second_best_gap": 0.202334712405006, "second_distance": 0.2037549898530918, "unambiguous": true }, { "best_distance": 0.008013319261876317, "edge_kind": "map", "eigenfunction_mismatch": 9.122776960635015e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j2", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008013319261876317, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j2", "reverse_second_best_gap": 0.20350453961707038, "reverse_second_distance": 0.2115178588789467, "reverse_unambiguous": true, "second_best_gap": 0.19535772120484943, "second_distance": 0.20337104046672574, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.008013319261876317, "max_resolution_difference": 0.00145836931716832, "omega_imag": -0.47237012389168503, "omega_real": 0.34526419761139815, "outgoing_phase_residual": 9.514617798415927e-15, "pencil_residual": 1.3806025823604272e-15, "reference_difference": 0.3901860668822625, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.0859859559972946e-06, "transformed_residual": 1.9846638608177322e-08, "unfactored_residual": 2.7064603000631536e-10 }, { "N": 12, "accepted": false, "branch_id": "branch-0009", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 3.142507619160625e-07, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.986037136306365e-12, "infinity_row_residual": 1.0679491283017573e-12, "ingoing_phase_residual": 1.7541155791366868e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 7.625253241050345e-07, "matching_checks": [ { "best_distance": 6.64703454498302e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.6205419450798786e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j4", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.64703454498302e-05, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j3", "reverse_second_best_gap": 0.1866411355704527, "reverse_second_distance": 0.18670760591590252, "reverse_unambiguous": true, "second_best_gap": 0.18658239278181588, "second_distance": 0.1866488631272657, "unambiguous": true }, { "best_distance": 7.224726190342695e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.914524083712621e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j4", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.224726190342695e-05, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j3", "reverse_second_best_gap": 0.1866362872326083, "reverse_second_distance": 0.18670853449451172, "reverse_unambiguous": true, "second_best_gap": 0.18657655398729484, "second_distance": 0.18664880124919825, "unambiguous": true }, { "best_distance": 0.0004559870810262902, "edge_kind": "map", "eigenfunction_mismatch": 7.625253241050345e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j3", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004559870810262902, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j3", "reverse_second_best_gap": 0.18664108826778092, "reverse_second_distance": 0.1870970753488072, "reverse_unambiguous": true, "second_best_gap": 0.1861868992322448, "second_distance": 0.18664288631327108, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0004559870810262902, "max_resolution_difference": 6.64703454498302e-05, "omega_imag": -0.27251128565454563, "omega_real": 0.3852040893281197, "outgoing_phase_residual": 1.191939596361987e-14, "pencil_residual": 3.0017257032217765e-15, "reference_difference": 0.1866488634725868, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.6205419450798786e-08, "transformed_residual": 3.022377937214572e-08, "unfactored_residual": 6.783684009944484e-10 }, { "N": 12, "accepted": false, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 1.386246394589852e-07, "failure_reasons": [ "matching:map:frequency_difference" ], "horizon_row_residual": 1.001388215642464e-12, "infinity_row_residual": 1.0447128970005843e-12, "ingoing_phase_residual": 1.1289778703346829e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.1059287647062774e-10, "matching_checks": [ { "best_distance": 7.816404526664431e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.648437025243311e-12, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.0:j5", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.816404526664431e-07, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j4", "reverse_second_best_gap": 0.18664808148681303, "reverse_second_distance": 0.1866488631272657, "reverse_unambiguous": true, "second_best_gap": 0.18670682427544985, "second_distance": 0.18670760591590252, "unambiguous": true }, { "best_distance": 8.464565033197987e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.1056268667839504e-12, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N12:c0.7:j5", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.464565033197987e-07, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j4", "reverse_second_best_gap": 0.18664795479269494, "reverse_second_distance": 0.18664880124919825, "reverse_unambiguous": true, "second_best_gap": 0.1867076880380084, "second_distance": 0.18670853449451172, "unambiguous": true }, { "best_distance": 6.9702814049403996e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.1059287647062774e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j4", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.9702814049403996e-06, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.0:j4", "reverse_second_best_gap": 0.18663591603186613, "reverse_second_distance": 0.18664288631327108, "reverse_unambiguous": true, "second_best_gap": 0.18709010506740226, "second_distance": 0.1870970753488072, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.9702814049403996e-06, "max_resolution_difference": 7.816404526664431e-07, "omega_imag": -0.08725636448334155, "omega_real": 0.4079791441934857, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.4666927692411626e-15, "reference_difference": 7.810586981342385e-07, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.648437025243311e-12, "transformed_residual": 1.5198990152847502e-08, "unfactored_residual": 7.362923704647083e-10 }, { "N": 12, "accepted": false, "branch_id": "branch-0010", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 5.332434141521687e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.160905516792477e-12, "infinity_row_residual": 3.832261291993483e-13, "ingoing_phase_residual": 1.034042483207672e-06, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0006272411119881971, "matching_checks": [ { "best_distance": 0.09384200777237181, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015130426930157759, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j0", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.09384200777237181, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j0", "reverse_second_best_gap": 0.09349432626949622, "reverse_second_distance": 0.18733633404186803, "reverse_unambiguous": true, "second_best_gap": 0.07967977456308412, "second_distance": 0.17352178233545593, "unambiguous": true }, { "best_distance": 0.057733451951099704, "edge_kind": "map", "eigenfunction_mismatch": 0.0006272411119881971, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j1", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.057733451951099704, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j0", "reverse_second_best_gap": 0.04660810699998896, "reverse_second_distance": 0.10434155895108867, "reverse_unambiguous": true, "second_best_gap": 0.11496447642166015, "second_distance": 0.17269792837275985, "unambiguous": true }, { "best_distance": 0.04217734088718053, "edge_kind": "map", "eigenfunction_mismatch": 0.0003116588428812017, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j0", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04217734088718053, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j0", "reverse_second_best_gap": 0.11427603531586555, "reverse_second_distance": 0.15645337620304609, "reverse_unambiguous": true, "second_best_gap": 0.1336221384776182, "second_distance": 0.17579947936479873, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.057733451951099704, "max_resolution_difference": 0.09384200777237181, "omega_imag": -0.8513503838733276, "omega_real": 0.22735780345443835, "outgoing_phase_residual": 6.10780345318845e-15, "pencil_residual": 1.34648855106714e-15, "reference_difference": 0.7851512809705755, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015130426930157759, "transformed_residual": 1.2027389006104537e-08, "unfactored_residual": 1.4459556990264608e-10 }, { "N": 12, "accepted": false, "branch_id": "branch-0011", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 4.941561201844936e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4630498981123981e-12, "infinity_row_residual": 4.466616983028731e-13, "ingoing_phase_residual": 9.521977406526696e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0009966776589999116, "matching_checks": [ { "best_distance": 0.05604485179398481, "edge_kind": "resolution", "eigenfunction_mismatch": 0.000884941414077467, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j1", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05604485179398481, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j1", "reverse_second_best_gap": 0.11747693054147113, "reverse_second_distance": 0.17352178233545593, "reverse_unambiguous": true, "second_best_gap": 0.13129148224788323, "second_distance": 0.18733633404186803, "unambiguous": true }, { "best_distance": 0.055315477886077526, "edge_kind": "map", "eigenfunction_mismatch": 0.000859065865782882, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j2", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.055315477886077526, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j1", "reverse_second_best_gap": 0.11738245048668233, "reverse_second_distance": 0.17269792837275985, "reverse_unambiguous": true, "second_best_gap": 0.04902608106501114, "second_distance": 0.10434155895108867, "unambiguous": true }, { "best_distance": 0.05952942199821635, "edge_kind": "map", "eigenfunction_mismatch": 0.0009966776589999116, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j1", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05952942199821635, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j1", "reverse_second_best_gap": 0.11627005736658239, "reverse_second_distance": 0.17579947936479873, "reverse_unambiguous": true, "second_best_gap": 0.09692395420482974, "second_distance": 0.15645337620304609, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05952942199821635, "max_resolution_difference": 0.05604485179398481, "omega_imag": -0.7458384134502202, "omega_real": 0.27901614783519085, "outgoing_phase_residual": 6.700313229666522e-15, "pencil_residual": 1.3412359487834314e-15, "reference_difference": 0.6710892137267511, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.000884941414077467, "transformed_residual": 3.2392963964894454e-08, "unfactored_residual": 3.993499278978007e-10 }, { "N": 12, "accepted": false, "branch_id": "branch-0012", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 4.553740197685407e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.064602729196405e-13, "infinity_row_residual": 7.865152375881177e-13, "ingoing_phase_residual": 3.5802727327298267e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 9.12277696061281e-05, "matching_checks": [ { "best_distance": 0.006809765584921149, "edge_kind": "resolution", "eigenfunction_mismatch": 6.595090599070819e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j2", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.006809765584921149, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j2", "reverse_second_best_gap": 0.19753124387578475, "reverse_second_distance": 0.2043410094607059, "reverse_unambiguous": true, "second_best_gap": 0.20465242566615122, "second_distance": 0.21146219125107238, "unambiguous": true }, { "best_distance": 0.0073915495933908225, "edge_kind": "map", "eigenfunction_mismatch": 7.792235341985698e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j3", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0073915495933908225, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j2", "reverse_second_best_gap": 0.19633733326399644, "reverse_second_distance": 0.20372888285738727, "reverse_unambiguous": true, "second_best_gap": 0.2040702401969888, "second_distance": 0.21146178979037963, "unambiguous": true }, { "best_distance": 0.008013319261876317, "edge_kind": "map", "eigenfunction_mismatch": 9.12277696061281e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j2", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008013319261876317, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j2", "reverse_second_best_gap": 0.19535772120484943, "reverse_second_distance": 0.20337104046672574, "reverse_unambiguous": true, "second_best_gap": 0.20350453961707038, "second_distance": 0.2115178588789467, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.008013319261876317, "max_resolution_difference": 0.006809765584921149, "omega_imag": -0.4803542751463603, "omega_real": 0.3459472893586951, "outgoing_phase_residual": 9.32603861714756e-15, "pencil_residual": 1.4647617187425562e-15, "reference_difference": 0.39796143098253195, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.595090599070819e-05, "transformed_residual": 2.1050003371793898e-07, "unfactored_residual": 2.8556084983362095e-09 }, { "N": 12, "accepted": false, "branch_id": "branch-0013", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 3.2947742718627566e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.2960337244861086e-12, "infinity_row_residual": 1.926532125114438e-12, "ingoing_phase_residual": 1.7566338247626888e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 7.625253241050345e-07, "matching_checks": [ { "best_distance": 0.00039506578879754144, "edge_kind": "resolution", "eigenfunction_mismatch": 5.724071774348971e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j3", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00039506578879754144, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j3", "reverse_second_best_gap": 0.18630522041669229, "reverse_second_distance": 0.18670028620548984, "reverse_unambiguous": true, "second_best_gap": 0.18670126230100906, "second_distance": 0.1870963280898066, "unambiguous": true }, { "best_distance": 0.0003912570211926872, "edge_kind": "map", "eigenfunction_mismatch": 5.614550377952554e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j4", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0003912570211926872, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j3", "reverse_second_best_gap": 0.18631052117841046, "reverse_second_distance": 0.18670177819960315, "reverse_unambiguous": true, "second_best_gap": 0.18670497730786995, "second_distance": 0.18709623432906264, "unambiguous": true }, { "best_distance": 0.0004559870810262902, "edge_kind": "map", "eigenfunction_mismatch": 7.625253241050345e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j3", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0004559870810262902, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j3", "reverse_second_best_gap": 0.1861868992322448, "reverse_second_distance": 0.18664288631327108, "reverse_unambiguous": true, "second_best_gap": 0.18664108826778092, "second_distance": 0.1870970753488072, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0004559870810262902, "max_resolution_difference": 0.00039506578879754144, "omega_imag": -0.2729660942468868, "omega_real": 0.3852368515379893, "outgoing_phase_residual": 1.1964939004029545e-14, "pencil_residual": 1.8762989088527516e-15, "reference_difference": 0.18709629656946636, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.724071774348971e-07, "transformed_residual": 3.6455794527386506e-07, "unfactored_residual": 8.17221228485764e-09 }, { "N": 12, "accepted": false, "branch_id": "branch-0014", "branch_unique": true, "candidate_id": "kerr-radial:N12:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 1.3510143321640893e-06, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.9593774984175888e-12, "infinity_row_residual": 1.6582990027713034e-12, "ingoing_phase_residual": 1.1289946308593298e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.1059287647062774e-10, "matching_checks": [ { "best_distance": 6.236294508054806e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 1.6857537588066407e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.236294508054806e-06, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j4", "reverse_second_best_gap": 0.18709009179529856, "reverse_second_distance": 0.1870963280898066, "reverse_unambiguous": true, "second_best_gap": 0.1866940499109818, "second_distance": 0.18670028620548984, "unambiguous": true }, { "best_distance": 6.132555921930639e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.6301426875031666e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j5", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.132555921930639e-06, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j4", "reverse_second_best_gap": 0.1870901017731407, "reverse_second_distance": 0.18709623432906264, "reverse_unambiguous": true, "second_best_gap": 0.1866956456436812, "second_distance": 0.18670177819960315, "unambiguous": true }, { "best_distance": 6.9702814049403996e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.1059287647062774e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j4", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.9702814049403996e-06, "reverse_nearest_candidate_id": "kerr-radial:N12:c1.4:j4", "reverse_second_best_gap": 0.18709010506740226, "reverse_second_distance": 0.1870970753488072, "reverse_unambiguous": true, "second_best_gap": 0.18663591603186613, "second_distance": 0.18664288631327108, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.9702814049403996e-06, "max_resolution_difference": 6.236294508054806e-06, "omega_imag": -0.08726327922513095, "omega_real": 0.4079800223556859, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.9336474523613493e-15, "reference_difference": 6.2021526382863895e-06, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.6857537588066407e-10, "transformed_residual": 2.021445253929053e-07, "unfactored_residual": 9.792468255151021e-09 }, { "N": 20, "accepted": false, "branch_id": "branch-0015", "branch_unique": true, "candidate_id": "kerr-radial:N20:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 0.004754170233288859, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.868151901958937e-10, "infinity_row_residual": 3.8805667308380755e-13, "ingoing_phase_residual": 1.844911765076145e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.5645290388301074, "matching_checks": [ { "best_distance": 0.41364763224101037, "edge_kind": "resolution", "eigenfunction_mismatch": 0.5645290047297842, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j5", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": false, "reverse_best_distance": 7.18266833820984e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j5", "reverse_second_best_gap": 0.18670767634864613, "reverse_second_distance": 0.1867077481753295, "reverse_unambiguous": true, "second_best_gap": 0.04768374168364359, "second_distance": 0.46133137392465395, "unambiguous": true }, { "best_distance": 0.005658090285231491, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005868321108582042, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j1", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005658090285231491, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j0", "reverse_second_best_gap": 0.4089612322375406, "reverse_second_distance": 0.4146193225227721, "reverse_unambiguous": true, "second_best_gap": 0.011945645599832862, "second_distance": 0.017603735885064354, "unambiguous": true }, { "best_distance": 0.008389332193907511, "edge_kind": "map", "eigenfunction_mismatch": 0.00637828970012011, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j0", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008389332193907511, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j0", "reverse_second_best_gap": 0.40399108249772636, "reverse_second_distance": 0.4123804146916339, "reverse_unambiguous": true, "second_best_gap": 0.40525826417669764, "second_distance": 0.41364759637060516, "unambiguous": true }, { "best_distance": 0.4136475778395839, "edge_kind": "map", "eigenfunction_mismatch": 0.5645290388301074, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": false, "reverse_best_distance": 3.469756868122534e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j5", "reverse_second_best_gap": 0.18670780722359273, "reverse_second_distance": 0.1867078419211614, "reverse_unambiguous": true, "second_best_gap": 0.04766806671519502, "second_distance": 0.4613156445547789, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.4136475778395839, "max_resolution_difference": 0.41364763224101037, "omega_imag": -0.01868449775304492, "omega_real": 5.4944730739599664e-05, "outgoing_phase_residual": 3.0008084566841546e-13, "pencil_residual": 2.0651476091453987e-14, "reference_difference": 0.41364759334093915, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.5645290047297842, "transformed_residual": 0.05229173056092414, "unfactored_residual": 0.00372326044731778 }, { "N": 20, "accepted": false, "branch_id": "branch-0016", "branch_unique": true, "candidate_id": "kerr-radial:N20:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 5.26640088943568e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.313063939575382e-12, "infinity_row_residual": 1.2786932883610043e-13, "ingoing_phase_residual": 7.97186966622043e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 5.2920767032671456e-05, "matching_checks": [ { "best_distance": 0.0756649230062722, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0010204055302337478, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j1", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0756649230062722, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j1", "reverse_second_best_gap": 0.08350764185155107, "reverse_second_distance": 0.15917256485782327, "reverse_unambiguous": true, "second_best_gap": 0.15460416468763197, "second_distance": 0.23026908769390417, "unambiguous": true }, { "best_distance": 0.015344762603544627, "edge_kind": "resolution", "eigenfunction_mismatch": 3.926811231691474e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j2", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.015344762603544627, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j1", "reverse_second_best_gap": 0.2030163814437978, "reverse_second_distance": 0.21836114404734241, "reverse_unambiguous": true, "second_best_gap": 0.21884992862366465, "second_distance": 0.23419469122720926, "unambiguous": true }, { "best_distance": 0.008051897805162236, "edge_kind": "map", "eigenfunction_mismatch": 1.0659329794826533e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j1", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008051897805162236, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j1", "reverse_second_best_gap": 0.22560988033310106, "reverse_second_distance": 0.2336617781382633, "reverse_unambiguous": true, "second_best_gap": 0.22432432971838137, "second_distance": 0.23237622752354362, "unambiguous": true }, { "best_distance": 0.018008793438787283, "edge_kind": "map", "eigenfunction_mismatch": 5.2920767032671456e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j0", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.018008793438787283, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j1", "reverse_second_best_gap": 0.22504377808520595, "reverse_second_distance": 0.24305257152399323, "reverse_unambiguous": true, "second_best_gap": 0.2118715975901643, "second_distance": 0.22988039102895158, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.018008793438787283, "max_resolution_difference": 0.0756649230062722, "omega_imag": -0.9213280349246358, "omega_real": 0.25981598686951984, "outgoing_phase_residual": 5.460728753100309e-15, "pencil_residual": 2.3866696757399865e-16, "reference_difference": 0.8471284203327109, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0010204055302337478, "transformed_residual": 3.867254816113557e-14, "unfactored_residual": 4.722336408281021e-16 }, { "N": 20, "accepted": false, "branch_id": "branch-0017", "branch_unique": true, "candidate_id": "kerr-radial:N20:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 1.3080201389150502e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.5411142701061397e-13, "infinity_row_residual": 2.447371684350512e-13, "ingoing_phase_residual": 7.931980525192581e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 5.288283449589315e-06, "matching_checks": [ { "best_distance": 0.004362571768302932, "edge_kind": "resolution", "eigenfunction_mismatch": 6.1071046812966046e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j2", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004362571768302932, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j2", "reverse_second_best_gap": 0.22177138038086297, "reverse_second_distance": 0.2261339521491659, "reverse_unambiguous": true, "second_best_gap": 0.15480999308952034, "second_distance": 0.15917256485782327, "unambiguous": true }, { "best_distance": 0.0006752494637568444, "edge_kind": "resolution", "eigenfunction_mismatch": 1.481201949982136e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j3", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0006752494637568444, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j2", "reverse_second_best_gap": 0.22147219020952294, "reverse_second_distance": 0.2221474396732798, "reverse_unambiguous": true, "second_best_gap": 0.21768589458358556, "second_distance": 0.21836114404734241, "unambiguous": true }, { "best_distance": 0.0011842974630011103, "edge_kind": "map", "eigenfunction_mismatch": 4.538546366505969e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j2", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0011842974630011103, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j2", "reverse_second_best_gap": 0.22277861929790563, "reverse_second_distance": 0.22396291676090674, "reverse_unambiguous": true, "second_best_gap": 0.22162174058019615, "second_distance": 0.22280603804319726, "unambiguous": true }, { "best_distance": 0.004051302674861849, "edge_kind": "map", "eigenfunction_mismatch": 5.288283449589315e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j1", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004051302674861849, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j2", "reverse_second_best_gap": 0.22240772154161217, "reverse_second_distance": 0.22645902421647401, "reverse_unambiguous": true, "second_best_gap": 0.21846929844256435, "second_distance": 0.2225206011174262, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004051302674861849, "max_resolution_difference": 0.004362571768302932, "omega_imag": -0.6918618130602433, "omega_real": 0.30315846755087134, "outgoing_phase_residual": 7.126429839794514e-15, "pencil_residual": 2.8444542078081236e-16, "reference_difference": 0.6136238031349226, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.1071046812966046e-06, "transformed_residual": 2.1991525700414285e-13, "unfactored_residual": 2.747036271379248e-15 }, { "N": 20, "accepted": false, "branch_id": "branch-0018", "branch_unique": true, "candidate_id": "kerr-radial:N20:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 3.0326616805530176e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.671198713844684e-13, "infinity_row_residual": 1.1456649697204123e-12, "ingoing_phase_residual": 3.488086152483455e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.7043311306697007e-07, "matching_checks": [ { "best_distance": 0.00031652213029993357, "edge_kind": "resolution", "eigenfunction_mismatch": 1.4597242348202144e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j3", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00031652213029993357, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j3", "reverse_second_best_gap": 0.20379611023415, "reverse_second_distance": 0.20411263236444993, "reverse_unambiguous": true, "second_best_gap": 0.20411243558210027, "second_distance": 0.2044289577124002, "unambiguous": true }, { "best_distance": 1.8189536867724374e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 4.81543249719607e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j4", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8189536867724374e-05, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j3", "reverse_second_best_gap": 0.2043971868383703, "reverse_second_distance": 0.20441537637523802, "reverse_unambiguous": true, "second_best_gap": 0.20441002647345174, "second_distance": 0.20442821601031946, "unambiguous": true }, { "best_distance": 6.54595978389791e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.234149085848628e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j3", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.54595978389791e-05, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j3", "reverse_second_best_gap": 0.2043741757727937, "reverse_second_distance": 0.2044396353706327, "reverse_unambiguous": true, "second_best_gap": 0.2043637850335854, "second_distance": 0.2044292446314244, "unambiguous": true }, { "best_distance": 0.0003425008929751707, "edge_kind": "map", "eigenfunction_mismatch": 1.7043311306697007e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j2", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0003425008929751707, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j3", "reverse_second_best_gap": 0.20438217950298448, "reverse_second_distance": 0.20472468039595965, "reverse_unambiguous": true, "second_best_gap": 0.2040867915789272, "second_distance": 0.20442929247190236, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0003425008929751707, "max_resolution_difference": 0.00031652213029993357, "omega_imag": -0.4732922058173027, "omega_real": 0.34646038617708075, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 9.268872153235685e-16, "reference_difference": 0.39090615447558735, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.4597242348202144e-07, "transformed_residual": 1.0760062036923961e-12, "unfactored_residual": 1.4647979323388587e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N20:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 2.5133140554334573e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.982042847826194e-12, "infinity_row_residual": 2.6581354656572963e-12, "ingoing_phase_residual": 1.7544916635338174e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.105388086093285e-10, "matching_checks": [ { "best_distance": 9.402647429773656e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 3.242992541174772e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c0.7:j4", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.402647429773656e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j4", "reverse_second_best_gap": 0.1866983528937548, "reverse_second_distance": 0.18670775554118457, "reverse_unambiguous": true, "second_best_gap": 0.18669834552789974, "second_distance": 0.1867077481753295, "unambiguous": true }, { "best_distance": 1.1554035348506358e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 4.8960835385969403e-14, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j5", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1554035348506358e-07, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j4", "reverse_second_best_gap": 0.1867077289322862, "reverse_second_distance": 0.1867078444726397, "reverse_unambiguous": true, "second_best_gap": 0.18670769468731918, "second_distance": 0.18670781022767266, "unambiguous": true }, { "best_distance": 9.870587278988827e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.573585871663454e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.0:j4", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.870587278988827e-07, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j4", "reverse_second_best_gap": 0.18670583990683215, "reverse_second_distance": 0.18670682696556004, "reverse_unambiguous": true, "second_best_gap": 0.18670682300043331, "second_distance": 0.1867078100591612, "unambiguous": true }, { "best_distance": 7.576274222236483e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.105388086093285e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j3", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.576274222236483e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j4", "reverse_second_best_gap": 0.18669868712382004, "reverse_second_distance": 0.18670626339804228, "reverse_unambiguous": true, "second_best_gap": 0.18670026564693917, "second_distance": 0.1867078419211614, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 7.576274222236483e-06, "max_resolution_difference": 9.402647429773656e-06, "omega_imag": -0.2725737493058622, "omega_real": 0.3852291079048446, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 2.0852048996135697e-15, "reference_difference": 0.18670781040500678, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.242992541174772e-10, "transformed_residual": 1.5347820591339212e-12, "unfactored_residual": 3.4454496995400675e-14 }, { "N": 20, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N20:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 8.223800783730181e-13, "failure_reasons": [], "horizon_row_residual": 6.812323583057158e-12, "infinity_row_residual": 3.005034456193673e-12, "ingoing_phase_residual": 1.1289794419186087e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.9960036108132044e-15, "matching_checks": [ { "best_distance": 7.18266833820984e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 2.2537527399890678e-14, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N12:c0.7:j5", "peer_configuration": [ "kerr-radial", 12, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.18266833820984e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j5", "reverse_second_best_gap": 0.18670767634864613, "reverse_second_distance": 0.1867077481753295, "reverse_unambiguous": true, "second_best_gap": 0.1867076837145012, "second_distance": 0.18670775554118457, "unambiguous": true }, { "best_distance": 1.367425339121515e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j6", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.367425339121515e-11, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j5", "reverse_second_best_gap": 0.1867078102139984, "reverse_second_distance": 0.18670781022767266, "reverse_unambiguous": true, "second_best_gap": 0.18670784445896543, "second_distance": 0.1867078444726397, "unambiguous": true }, { "best_distance": 3.0410444179230607e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.0:j5", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.0410444179230607e-09, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j5", "reverse_second_best_gap": 0.1867078070181168, "reverse_second_distance": 0.1867078100591612, "reverse_unambiguous": true, "second_best_gap": 0.18670682392451562, "second_distance": 0.18670682696556004, "unambiguous": true }, { "best_distance": 3.469756868122534e-08, "edge_kind": "map", "eigenfunction_mismatch": 4.9960036108132044e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.469756868122534e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c0.7:j5", "reverse_second_best_gap": 0.18670780722359273, "reverse_second_distance": 0.1867078419211614, "reverse_unambiguous": true, "second_best_gap": 0.1867062287004736, "second_distance": 0.18670626339804228, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.469756868122534e-08, "max_resolution_difference": 7.18266833820984e-08, "omega_imag": -0.08725714492074657, "omega_real": 0.40797910867278747, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 3.714890622821419e-15, "reference_difference": 1.897180889894214e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.2537527399890678e-14, "transformed_residual": 5.26326752927919e-13, "unfactored_residual": 2.5477544921087984e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0020", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 0.004468430773025888, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 9.749683587640755e-10, "infinity_row_residual": 3.8811435132336724e-13, "ingoing_phase_residual": 1.9226679569164048e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.5100468881908706, "matching_checks": [ { "best_distance": 0.41238033593454904, "edge_kind": "resolution", "eigenfunction_mismatch": 0.5100475820129251, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j4", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": false, "reverse_best_distance": 7.816404526664431e-07, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j5", "reverse_second_best_gap": 0.18670682427544985, "reverse_second_distance": 0.18670760591590252, "reverse_unambiguous": true, "second_best_gap": 0.04435922875583331, "second_distance": 0.45673956469038235, "unambiguous": true }, { "best_distance": 0.008285550148744119, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006190977015406496, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j0", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008285550148744119, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j0", "reverse_second_best_gap": 0.40534597392134897, "reverse_second_distance": 0.41363152407009307, "reverse_unambiguous": true, "second_best_gap": 0.4040948647467553, "second_distance": 0.4123804148954994, "unambiguous": true }, { "best_distance": 0.008389332193907511, "edge_kind": "map", "eigenfunction_mismatch": 0.00637828970012011, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j0", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008389332193907511, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j0", "reverse_second_best_gap": 0.40525826417669764, "reverse_second_distance": 0.41364759637060516, "reverse_unambiguous": true, "second_best_gap": 0.40399108249772636, "second_distance": 0.4123804146916339, "unambiguous": true }, { "best_distance": 0.41238039982809366, "edge_kind": "map", "eigenfunction_mismatch": 0.5100468881908706, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": false, "reverse_best_distance": 3.6176767589841003e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j5", "reverse_second_best_gap": 0.18670682249364715, "reverse_second_distance": 0.18670685867041473, "reverse_unambiguous": true, "second_best_gap": 0.0444064721021909, "second_distance": 0.45678687193028455, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.41238039982809366, "max_resolution_difference": 0.41238033593454904, "omega_imag": -0.027073729831584226, "omega_real": 1.395946338564725e-05, "outgoing_phase_residual": 2.0708966719303948e-13, "pencil_residual": 2.6973843393514364e-14, "reference_difference": 0.41238041470673126, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.5100475820129251, "transformed_residual": 0.02862774120436108, "unfactored_residual": 0.002429563957743468 }, { "N": 20, "accepted": false, "branch_id": "branch-0021", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 3.5384432792864434e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.1197386055116885e-11, "infinity_row_residual": 1.0579592829285737e-13, "ingoing_phase_residual": 7.815002560941297e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.2600832809471783e-05, "matching_checks": [ { "best_distance": 0.049854968819043506, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00041367054524210634, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j0", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.049854968819043506, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j1", "reverse_second_best_gap": 0.16449595637231917, "reverse_second_distance": 0.21435092519136267, "reverse_unambiguous": true, "second_best_gap": 0.18655580393211094, "second_distance": 0.23641077275115444, "unambiguous": true }, { "best_distance": 0.004760441374766223, "edge_kind": "resolution", "eigenfunction_mismatch": 3.7402057676549916e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j1", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004760441374766223, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j1", "reverse_second_best_gap": 0.22489143754627136, "reverse_second_distance": 0.22965187892103758, "reverse_unambiguous": true, "second_best_gap": 0.22862858334090128, "second_distance": 0.2333890247156675, "unambiguous": true }, { "best_distance": 0.008051897805162236, "edge_kind": "map", "eigenfunction_mismatch": 1.065932979471551e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j1", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008051897805162236, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j1", "reverse_second_best_gap": 0.22432432971838137, "reverse_second_distance": 0.23237622752354362, "reverse_unambiguous": true, "second_best_gap": 0.22560988033310106, "second_distance": 0.2336617781382633, "unambiguous": true }, { "best_distance": 0.011757311780789167, "edge_kind": "map", "eigenfunction_mismatch": 2.2600832809471783e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j0", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.011757311780789167, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j1", "reverse_second_best_gap": 0.23013132419633509, "reverse_second_distance": 0.24188863597712426, "reverse_unambiguous": true, "second_best_gap": 0.21820181228564528, "second_distance": 0.22995912406643446, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.011757311780789167, "max_resolution_difference": 0.049854968819043506, "omega_imag": -0.9228218018965729, "omega_real": 0.26772811164724714, "outgoing_phase_residual": 5.460728753100309e-15, "pencil_residual": 3.1775475269526873e-16, "reference_difference": 0.847253585695978, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00041367054524210634, "transformed_residual": 3.4988309294448394e-13, "unfactored_residual": 4.10948632823238e-15 }, { "N": 20, "accepted": false, "branch_id": "branch-0022", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 1.3130799873963875e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8415959666135163e-12, "infinity_row_residual": 1.8012420168410996e-13, "ingoing_phase_residual": 7.947264195008727e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.7032547952332564e-06, "matching_checks": [ { "best_distance": 0.01312934905876839, "edge_kind": "resolution", "eigenfunction_mismatch": 5.5279649645134654e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j1", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01312934905876839, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j2", "reverse_second_best_gap": 0.2081390615972714, "reverse_second_distance": 0.2212684106560398, "reverse_unambiguous": true, "second_best_gap": 0.20122157613259428, "second_distance": 0.21435092519136267, "unambiguous": true }, { "best_distance": 0.0009008163278897123, "edge_kind": "resolution", "eigenfunction_mismatch": 2.624425482489201e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j2", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0009008163278897123, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j2", "reverse_second_best_gap": 0.2221742767734198, "reverse_second_distance": 0.22307509310130952, "reverse_unambiguous": true, "second_best_gap": 0.2230704218971578, "second_distance": 0.22397123822504753, "unambiguous": true }, { "best_distance": 0.0011842974630011103, "edge_kind": "map", "eigenfunction_mismatch": 4.538546366505969e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j2", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0011842974630011103, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j2", "reverse_second_best_gap": 0.22162174058019615, "reverse_second_distance": 0.22280603804319726, "reverse_unambiguous": true, "second_best_gap": 0.22277861929790563, "second_distance": 0.22396291676090674, "unambiguous": true }, { "best_distance": 0.002899985796155207, "edge_kind": "map", "eigenfunction_mismatch": 2.7032547952332564e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j1", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.002899985796155207, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j2", "reverse_second_best_gap": 0.223547881578428, "reverse_second_distance": 0.22644786737458322, "reverse_unambiguous": true, "second_best_gap": 0.220766058001669, "second_distance": 0.22366604379782423, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.002899985796155207, "max_resolution_difference": 0.01312934905876839, "omega_imag": -0.6930437818219591, "omega_real": 0.3032326991290494, "outgoing_phase_residual": 7.203628004108047e-15, "pencil_residual": 5.15063938846065e-16, "reference_difference": 0.6147757802591955, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.5279649645134654e-05, "transformed_residual": 3.0658947714925453e-12, "unfactored_residual": 3.8304574658519925e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0023", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 3.361615643750108e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.880717603032972e-12, "infinity_row_residual": 4.676036839830687e-13, "ingoing_phase_residual": 3.488319417327462e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.3466809423157144e-07, "matching_checks": [ { "best_distance": 0.00145836931716832, "edge_kind": "resolution", "eigenfunction_mismatch": 3.0859859559972946e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j2", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00145836931716832, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j3", "reverse_second_best_gap": 0.20229684547804036, "reverse_second_distance": 0.20375521479520867, "reverse_unambiguous": true, "second_best_gap": 0.2030378432860478, "second_distance": 0.2044962126032161, "unambiguous": true }, { "best_distance": 5.8255004346664464e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 4.937349862288443e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j3", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.8255004346664464e-05, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j3", "reverse_second_best_gap": 0.20436263543818484, "reverse_second_distance": 0.2044208904425315, "reverse_unambiguous": true, "second_best_gap": 0.20438137921732413, "second_distance": 0.2044396342216708, "unambiguous": true }, { "best_distance": 6.54595978389791e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.234149085848628e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j3", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.54595978389791e-05, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j3", "reverse_second_best_gap": 0.2043637850335854, "reverse_second_distance": 0.2044292446314244, "reverse_unambiguous": true, "second_best_gap": 0.2043741757727937, "second_distance": 0.2044396353706327, "unambiguous": true }, { "best_distance": 0.0003044933052411887, "edge_kind": "map", "eigenfunction_mismatch": 1.3466809423157144e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j2", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0003044933052411887, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j3", "reverse_second_best_gap": 0.20442117398271756, "reverse_second_distance": 0.20472566728795874, "reverse_unambiguous": true, "second_best_gap": 0.20413617441564527, "second_distance": 0.20444066772088645, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0003044933052411887, "max_resolution_difference": 0.00145836931716832, "omega_imag": -0.4732911415350084, "omega_real": 0.3463949352316908, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 9.212961187016348e-16, "reference_difference": 0.39091540914677225, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.0859859559972946e-06, "transformed_residual": 1.810590731549585e-11, "unfactored_residual": 2.4654934843040063e-13 }, { "N": 20, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 3.7033151023056674e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.280677685447356e-12, "infinity_row_residual": 6.608386277757621e-13, "ingoing_phase_residual": 1.7544867301906272e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.07667327778438e-10, "matching_checks": [ { "best_distance": 6.64703454498302e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.6205419561821088e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.0:j3", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.64703454498302e-05, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j4", "reverse_second_best_gap": 0.18658239278181588, "reverse_second_distance": 0.1866488631272657, "reverse_unambiguous": true, "second_best_gap": 0.1866411355704527, "second_distance": 0.18670760591590252, "unambiguous": true }, { "best_distance": 9.882925700877372e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 3.58268970046538e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j4", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.882925700877372e-07, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j4", "reverse_second_best_gap": 0.18670682576429434, "reverse_second_distance": 0.18670781405686443, "reverse_unambiguous": true, "second_best_gap": 0.18670583857148274, "second_distance": 0.18670682686405282, "unambiguous": true }, { "best_distance": 9.870587278988827e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.573585871663454e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c0.7:j4", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.870587278988827e-07, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j4", "reverse_second_best_gap": 0.18670682300043331, "reverse_second_distance": 0.1867078100591612, "reverse_unambiguous": true, "second_best_gap": 0.18670583990683215, "second_distance": 0.18670682696556004, "unambiguous": true }, { "best_distance": 7.52442375086975e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.07667327778438e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j3", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.52442375086975e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j4", "reverse_second_best_gap": 0.18669873881726, "reverse_second_distance": 0.1867062632410109, "reverse_unambiguous": true, "second_best_gap": 0.18669933424666385, "second_distance": 0.18670685867041473, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 7.52442375086975e-06, "max_resolution_difference": 6.64703454498302e-05, "omega_imag": -0.27257278393589546, "omega_real": 0.385229313685698, "outgoing_phase_residual": 1.1964939004029545e-14, "pencil_residual": 1.9826987750837244e-15, "reference_difference": 0.18670682715425352, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.6205419561821088e-08, "transformed_residual": 3.067341906487263e-11, "unfactored_residual": 6.884602724417927e-13 }, { "N": 20, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 1.661608947654286e-11, "failure_reasons": [], "horizon_row_residual": 1.0689814320100337e-11, "infinity_row_residual": 1.4173627378497842e-12, "ingoing_phase_residual": 1.1289794493671164e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 5.662137425588298e-15, "matching_checks": [ { "best_distance": 7.816404526664431e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.648437025243311e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N12:c1.0:j4", "peer_configuration": [ "kerr-radial", 12, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.816404526664431e-07, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j5", "reverse_second_best_gap": 0.18670682427544985, "reverse_second_distance": 0.18670760591590252, "reverse_unambiguous": true, "second_best_gap": 0.18664808148681303, "second_distance": 0.1866488631272657, "unambiguous": true }, { "best_distance": 2.8360696759577556e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j5", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.8360696759577556e-09, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j5", "reverse_second_best_gap": 0.18670682402798314, "reverse_second_distance": 0.18670682686405282, "reverse_unambiguous": true, "second_best_gap": 0.18670781122079474, "second_distance": 0.18670781405686443, "unambiguous": true }, { "best_distance": 3.0410444179230607e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c0.7:j5", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.0410444179230607e-09, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j5", "reverse_second_best_gap": 0.18670682392451562, "reverse_second_distance": 0.18670682696556004, "reverse_unambiguous": true, "second_best_gap": 0.1867078070181168, "second_distance": 0.1867078100591612, "unambiguous": true }, { "best_distance": 3.6176767589841003e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.662137425588298e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.6176767589841003e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.0:j5", "reverse_second_best_gap": 0.18670682249364715, "reverse_second_distance": 0.18670685867041473, "reverse_unambiguous": true, "second_best_gap": 0.1867062270642433, "second_distance": 0.1867062632410109, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.6176767589841003e-08, "max_resolution_difference": 7.816404526664431e-07, "omega_imag": -0.08725714544677822, "omega_real": 0.4079791116679906, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 3.6593429988101345e-15, "reference_difference": 3.0370466159215965e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.648437025243311e-12, "transformed_residual": 1.373041945508041e-11, "unfactored_residual": 6.651603150337677e-13 }, { "N": 20, "accepted": false, "branch_id": "branch-0024", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 2.9078923882046856e-11, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.703610988299474e-11, "infinity_row_residual": 1.5768049366898133e-13, "ingoing_phase_residual": 7.573716638682386e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 5.2920767032671456e-05, "matching_checks": [ { "best_distance": 0.09384200777237181, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015130426930157759, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j0", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.09384200777237181, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j0", "reverse_second_best_gap": 0.07967977456308412, "reverse_second_distance": 0.17352178233545593, "reverse_unambiguous": true, "second_best_gap": 0.09349432626949622, "second_distance": 0.18733633404186803, "unambiguous": true }, { "best_distance": 0.008229964107991353, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1043497902263333e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j1", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008229964107991353, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j0", "reverse_second_best_gap": 0.22489575764787764, "reverse_second_distance": 0.233125721755869, "reverse_unambiguous": true, "second_best_gap": 0.23314737887635406, "second_distance": 0.2413773429843454, "unambiguous": true }, { "best_distance": 0.018008793438787283, "edge_kind": "map", "eigenfunction_mismatch": 5.2920767032671456e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j1", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.018008793438787283, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j0", "reverse_second_best_gap": 0.2118715975901643, "reverse_second_distance": 0.22988039102895158, "reverse_unambiguous": true, "second_best_gap": 0.22504377808520595, "second_distance": 0.24305257152399323, "unambiguous": true }, { "best_distance": 0.011757311780789167, "edge_kind": "map", "eigenfunction_mismatch": 2.2600832809471783e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j1", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011757311780789167, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j0", "reverse_second_best_gap": 0.21820181228564528, "reverse_second_distance": 0.22995912406643446, "reverse_unambiguous": true, "second_best_gap": 0.23013132419633509, "second_distance": 0.24188863597712426, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.018008793438787283, "max_resolution_difference": 0.09384200777237181, "omega_imag": -0.9330920793487769, "omega_real": 0.27345137831632993, "outgoing_phase_residual": 5.460728753100309e-15, "pencil_residual": 3.853442491698879e-16, "reference_difference": 0.856466255527878, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015130426930157759, "transformed_residual": 4.485487764662006e-12, "unfactored_residual": 5.2529744298448737e-14 }, { "N": 20, "accepted": false, "branch_id": "branch-0025", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 1.1234643792193967e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.225432264701106e-12, "infinity_row_residual": 3.953658685654011e-13, "ingoing_phase_residual": 7.95276773061093e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 5.2882834498113596e-06, "matching_checks": [ { "best_distance": 0.05604485179398481, "edge_kind": "resolution", "eigenfunction_mismatch": 0.000884941414077467, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j1", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05604485179398481, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j1", "reverse_second_best_gap": 0.13129148224788323, "reverse_second_distance": 0.18733633404186803, "reverse_unambiguous": true, "second_best_gap": 0.11747693054147113, "second_distance": 0.17352178233545593, "unambiguous": true }, { "best_distance": 0.002567803604874575, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1164471250001426e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j2", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.002567803604874575, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j1", "reverse_second_best_gap": 0.22162263956332726, "reverse_second_distance": 0.22419044316820183, "reverse_unambiguous": true, "second_best_gap": 0.22387993627243274, "second_distance": 0.22644773987730732, "unambiguous": true }, { "best_distance": 0.004051302674861849, "edge_kind": "map", "eigenfunction_mismatch": 5.2882834498113596e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j2", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004051302674861849, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j1", "reverse_second_best_gap": 0.21846929844256435, "reverse_second_distance": 0.2225206011174262, "reverse_unambiguous": true, "second_best_gap": 0.22240772154161217, "second_distance": 0.22645902421647401, "unambiguous": true }, { "best_distance": 0.002899985796155207, "edge_kind": "map", "eigenfunction_mismatch": 2.7032547952332564e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j2", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002899985796155207, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j1", "reverse_second_best_gap": 0.220766058001669, "reverse_second_distance": 0.22366604379782423, "reverse_unambiguous": true, "second_best_gap": 0.223547881578428, "second_distance": 0.22644786737458322, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004051302674861849, "max_resolution_difference": 0.05604485179398481, "omega_imag": -0.6957746993927787, "omega_real": 0.30420840750725003, "outgoing_phase_residual": 7.203628004108047e-15, "pencil_residual": 6.394152364300255e-16, "reference_difference": 0.6173021729711092, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.000884941414077467, "transformed_residual": 4.4738403149310515e-11, "unfactored_residual": 5.581863704214169e-13 }, { "N": 20, "accepted": false, "branch_id": "branch-0026", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 3.15032390104928e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8968810735902713e-12, "infinity_row_residual": 3.0080880470762163e-12, "ingoing_phase_residual": 3.4921961110738876e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.7043311284492546e-07, "matching_checks": [ { "best_distance": 0.006809765584921149, "edge_kind": "resolution", "eigenfunction_mismatch": 6.595090599070819e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j2", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.006809765584921149, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j2", "reverse_second_best_gap": 0.20465242566615122, "reverse_second_distance": 0.21146219125107238, "reverse_unambiguous": true, "second_best_gap": 0.19753124387578475, "second_distance": 0.2043410094607059, "unambiguous": true }, { "best_distance": 0.0002970456551255343, "edge_kind": "resolution", "eigenfunction_mismatch": 1.2814996575016835e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j3", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0002970456551255343, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j2", "reverse_second_best_gap": 0.2041438358698702, "reverse_second_distance": 0.20444088152499573, "reverse_unambiguous": true, "second_best_gap": 0.20442889630901664, "second_distance": 0.20472594196414218, "unambiguous": true }, { "best_distance": 0.0003425008929751707, "edge_kind": "map", "eigenfunction_mismatch": 1.7043311284492546e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j3", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0003425008929751707, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j2", "reverse_second_best_gap": 0.2040867915789272, "reverse_second_distance": 0.20442929247190236, "reverse_unambiguous": true, "second_best_gap": 0.20438217950298448, "second_distance": 0.20472468039595965, "unambiguous": true }, { "best_distance": 0.0003044933052411887, "edge_kind": "map", "eigenfunction_mismatch": 1.3466809423157144e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j3", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0003044933052411887, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j2", "reverse_second_best_gap": 0.20413617441564527, "reverse_second_distance": 0.20444066772088645, "reverse_unambiguous": true, "second_best_gap": 0.20442117398271756, "second_distance": 0.20472566728795874, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0003425008929751707, "max_resolution_difference": 0.006809765584921149, "omega_imag": -0.4735506152772864, "omega_real": 0.34623559424510875, "outgoing_phase_residual": 9.403693879669245e-15, "pencil_residual": 1.6685753263400093e-15, "reference_difference": 0.3911967624636926, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.595090599070819e-05, "transformed_residual": 2.971716328347882e-10, "unfactored_residual": 4.046540050688844e-12 }, { "N": 20, "accepted": false, "branch_id": "branch-0027", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 4.3767408690340504e-10, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.750068401665265e-12, "infinity_row_residual": 1.4709721331588936e-11, "ingoing_phase_residual": 1.7544677753791437e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.105388086093285e-10, "matching_checks": [ { "best_distance": 0.00039506578879754144, "edge_kind": "resolution", "eigenfunction_mismatch": 5.724071775459194e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j3", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00039506578879754144, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j3", "reverse_second_best_gap": 0.18670126230100906, "reverse_second_distance": 0.1870963280898066, "reverse_unambiguous": true, "second_best_gap": 0.18630522041669229, "second_distance": 0.18670028620548984, "unambiguous": true }, { "best_distance": 7.423519584786903e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0213497542442838e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j4", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.423519584786903e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j3", "reverse_second_best_gap": 0.18669915388493735, "reverse_second_distance": 0.18670657740452215, "reverse_unambiguous": true, "second_best_gap": 0.18669884046460886, "second_distance": 0.18670626398419365, "unambiguous": true }, { "best_distance": 7.576274222236483e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.105388086093285e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j4", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.576274222236483e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j3", "reverse_second_best_gap": 0.18670026564693917, "reverse_second_distance": 0.1867078419211614, "reverse_unambiguous": true, "second_best_gap": 0.18669868712382004, "second_distance": 0.18670626339804228, "unambiguous": true }, { "best_distance": 7.52442375086975e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.0766710573383307e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j4", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.52442375086975e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j3", "reverse_second_best_gap": 0.18669933424666385, "reverse_second_distance": 0.18670685867041473, "reverse_unambiguous": true, "second_best_gap": 0.18669873881726, "second_distance": 0.1867062632410109, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 7.576274222236483e-06, "max_resolution_difference": 0.00039506578879754144, "omega_imag": -0.27257131016096287, "omega_real": 0.38522193500422836, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 3.021923814035106e-15, "reference_difference": 0.1867062635867366, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.724071775459194e-07, "transformed_residual": 5.788892156395733e-10, "unfactored_residual": 1.2992362638028317e-11 }, { "N": 20, "accepted": false, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N20:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 2.359540530658478e-10, "failure_reasons": [ "matching:resolution:frequency_difference" ], "horizon_row_residual": 3.529774487555845e-12, "infinity_row_residual": 1.4830291310024853e-11, "ingoing_phase_residual": 1.1289793464860025e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 5.662137425588298e-15, "matching_checks": [ { "best_distance": 6.236294508054806e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 1.68575597925269e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N12:c1.4:j4", "peer_configuration": [ "kerr-radial", 12, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.236294508054806e-06, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j4", "reverse_second_best_gap": 0.1866940499109818, "reverse_second_distance": 0.18670028620548984, "reverse_unambiguous": true, "second_best_gap": 0.18709009179529856, "second_distance": 0.1870963280898066, "unambiguous": true }, { "best_distance": 3.572615177480318e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 5.329070518200751e-15, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j5", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.572615177480318e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j4", "reverse_second_best_gap": 0.18670622825804187, "reverse_second_distance": 0.18670626398419365, "reverse_unambiguous": true, "second_best_gap": 0.18670654167837036, "second_distance": 0.18670657740452215, "unambiguous": true }, { "best_distance": 3.469756868122534e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.329070518200751e-15, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c0.7:j5", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.469756868122534e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j4", "reverse_second_best_gap": 0.1867062287004736, "reverse_second_distance": 0.18670626339804228, "reverse_unambiguous": true, "second_best_gap": 0.18670780722359273, "second_distance": 0.1867078419211614, "unambiguous": true }, { "best_distance": 3.6176767589841003e-08, "edge_kind": "map", "eigenfunction_mismatch": 5.662137425588298e-15, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.0:j5", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.6176767589841003e-08, "reverse_nearest_candidate_id": "kerr-radial:N20:c1.4:j4", "reverse_second_best_gap": 0.1867062270642433, "reverse_second_distance": 0.1867062632410109, "reverse_unambiguous": true, "second_best_gap": 0.18670682249364715, "second_distance": 0.18670685867041473, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 3.6176767589841003e-08, "max_resolution_difference": 6.236294508054806e-06, "omega_imag": -0.0872571117344527, "omega_real": 0.40797909854405745, "outgoing_phase_residual": 1.359550145226961e-14, "pencil_residual": 2.7083986183550813e-15, "reference_difference": 3.453327986794139e-08, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.68575597925269e-10, "transformed_residual": 3.1040241737709425e-10, "unfactored_residual": 1.5036941484217784e-11 }, { "N": 24, "accepted": false, "branch_id": "branch-0028", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 6.920736368344784e-05, "failure_reasons": [ "local:transformed_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.4484987472113355e-10, "infinity_row_residual": 5.52969780289194e-13, "ingoing_phase_residual": 2.0476652844262352e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.02012335272673138, "matching_checks": [ { "best_distance": 0.017603735885064354, "edge_kind": "resolution", "eigenfunction_mismatch": 0.02045409013551469, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j0", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.005658090285231491, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j1", "reverse_second_best_gap": 0.011945645599832862, "reverse_second_distance": 0.017603735885064354, "reverse_unambiguous": true, "second_best_gap": 0.39351664412981496, "second_distance": 0.4111203800148793, "unambiguous": true }, { "best_distance": 0.009615989188367419, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004512393328745423, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j1", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.009615989188367419, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j0", "reverse_second_best_gap": 0.004029879283323297, "reverse_second_distance": 0.013645868471690716, "reverse_unambiguous": true, "second_best_gap": 0.01707833152048678, "second_distance": 0.026694320708854198, "unambiguous": true }, { "best_distance": 0.01749995666818582, "edge_kind": "map", "eigenfunction_mismatch": 0.02012335272673138, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j0", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.0057618688967336715, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j1", "reverse_second_best_gap": 0.011738087771452148, "reverse_second_distance": 0.01749995666818582, "reverse_unambiguous": true, "second_best_gap": 0.3936204235483681, "second_distance": 0.41112038021655395, "unambiguous": true }, { "best_distance": 0.00962570021285897, "edge_kind": "map", "eigenfunction_mismatch": 0.004523077833915146, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j0", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00962570021285897, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j0", "reverse_second_best_gap": 0.00401049186690009, "reverse_second_distance": 0.013636192079759059, "reverse_unambiguous": true, "second_best_gap": 0.401494683253058, "second_distance": 0.41112038346591695, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01749995666818582, "max_resolution_difference": 0.017603735885064354, "omega_imag": -0.03628821655026212, "omega_real": 3.0416795557312358e-05, "outgoing_phase_residual": 1.5450118459100546e-13, "pencil_residual": 1.179709345290776e-14, "reference_difference": 0.4111203800341653, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.02045409013551469, "transformed_residual": 0.0006811446936633209, "unfactored_residual": 6.067176426187982e-05 }, { "N": 24, "accepted": false, "branch_id": "branch-0029", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 0.003753356564224799, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0891884917367124e-09, "infinity_row_residual": 1.0980994030817381e-12, "ingoing_phase_residual": 1.814482917193248e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.023158418575616624, "matching_checks": [ { "best_distance": 0.005658090285231491, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005868321108582042, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j0", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005658090285231491, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j1", "reverse_second_best_gap": 0.011945645599832862, "reverse_second_distance": 0.017603735885064354, "reverse_unambiguous": true, "second_best_gap": 0.4089612322375406, "second_distance": 0.4146193225227721, "unambiguous": true }, { "best_distance": 0.003432509534254064, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004131580031144777, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j0", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.003432509534254064, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j1", "reverse_second_best_gap": 0.023261811174600133, "reverse_second_distance": 0.026694320708854198, "reverse_unambiguous": true, "second_best_gap": 0.010213358937436651, "second_distance": 0.013645868471690716, "unambiguous": true }, { "best_distance": 0.0057618688967336715, "edge_kind": "map", "eigenfunction_mismatch": 0.006050839656639995, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j0", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0057618688967336715, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j1", "reverse_second_best_gap": 0.011738087771452148, "reverse_second_distance": 0.01749995666818582, "reverse_unambiguous": true, "second_best_gap": 0.40885745383302796, "second_distance": 0.41461932272976165, "unambiguous": true }, { "best_distance": 0.013636192079759059, "edge_kind": "map", "eigenfunction_mismatch": 0.023158418575616624, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j0", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.00962570021285897, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j0", "reverse_second_best_gap": 0.00401049186690009, "reverse_second_distance": 0.013636192079759059, "reverse_unambiguous": true, "second_best_gap": 0.40098313385565587, "second_distance": 0.41461932593541495, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.013636192079759059, "max_resolution_difference": 0.005658090285231491, "omega_imag": -0.013026408779420245, "omega_real": 5.879731141469469e-05, "outgoing_phase_residual": 4.3042734899081153e-13, "pencil_residual": 4.3065143170768504e-14, "reference_difference": 0.4146193225315194, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.005868321108582042, "transformed_residual": 0.10777992370612922, "unfactored_residual": 0.006442251004522788 }, { "N": 24, "accepted": false, "branch_id": "branch-0030", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 3.138710787187353e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.97716157819044e-12, "infinity_row_residual": 2.2135995598145143e-13, "ingoing_phase_residual": 8.11878655238723e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.529548830769283e-05, "matching_checks": [ { "best_distance": 0.015344762603544627, "edge_kind": "resolution", "eigenfunction_mismatch": 3.926811231713678e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j1", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.015344762603544627, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j2", "reverse_second_best_gap": 0.21884992862366465, "reverse_second_distance": 0.23419469122720926, "reverse_unambiguous": true, "second_best_gap": 0.2030163814437978, "second_distance": 0.21836114404734241, "unambiguous": true }, { "best_distance": 0.10235916881237904, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001988502950184712, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j3", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10235916881237904, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j2", "reverse_second_best_gap": 0.01431500962500619, "reverse_second_distance": 0.11667417843738523, "reverse_unambiguous": true, "second_best_gap": 0.02681655861754699, "second_distance": 0.12917572742992603, "unambiguous": true }, { "best_distance": 0.012560656314607215, "edge_kind": "map", "eigenfunction_mismatch": 2.6413455508356165e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j1", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.012560656314607215, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j2", "reverse_second_best_gap": 0.21891606103437208, "reverse_second_distance": 0.2314767173489793, "reverse_unambiguous": true, "second_best_gap": 0.20552975709817842, "second_distance": 0.21809041341278562, "unambiguous": true }, { "best_distance": 0.01979541715897577, "edge_kind": "map", "eigenfunction_mismatch": 6.529548830769283e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j1", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.01979541715897577, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j2", "reverse_second_best_gap": 0.21771841014424678, "reverse_second_distance": 0.23751382730322254, "reverse_unambiguous": true, "second_best_gap": 0.1968937218503312, "second_distance": 0.21668913900930695, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01979541715897577, "max_resolution_difference": 0.10235916881237904, "omega_imag": -0.9068403765994044, "omega_real": 0.26487261574758636, "outgoing_phase_residual": 5.600027006224723e-15, "pencil_residual": 3.393510977172365e-16, "reference_difference": 0.8319832584141462, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001988502950184712, "transformed_residual": 3.8730695589931885e-14, "unfactored_residual": 5.003485429837864e-16 }, { "N": 24, "accepted": false, "branch_id": "branch-0031", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 5.780068836258384e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.350480145766485e-12, "infinity_row_residual": 5.528968822610917e-13, "ingoing_phase_residual": 7.919880170442724e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.787422197585542e-06, "matching_checks": [ { "best_distance": 0.0006752494637568444, "edge_kind": "resolution", "eigenfunction_mismatch": 1.481201949982136e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j2", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0006752494637568444, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j3", "reverse_second_best_gap": 0.21768589458358556, "reverse_second_distance": 0.21836114404734241, "reverse_unambiguous": true, "second_best_gap": 0.22147219020952294, "second_distance": 0.2221474396732798, "unambiguous": true }, { "best_distance": 0.01008457318804896, "edge_kind": "resolution", "eigenfunction_mismatch": 3.3035785545143526e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j4", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01008457318804896, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j3", "reverse_second_best_gap": 0.20860678230899807, "reverse_second_distance": 0.21869135549704702, "reverse_unambiguous": true, "second_best_gap": 0.10658960524933626, "second_distance": 0.11667417843738523, "unambiguous": true }, { "best_distance": 0.0009553242740053932, "edge_kind": "map", "eigenfunction_mismatch": 2.963146034096198e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j2", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0009553242740053932, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j3", "reverse_second_best_gap": 0.21713508913878024, "reverse_second_distance": 0.21809041341278562, "reverse_unambiguous": true, "second_best_gap": 0.22120042021743053, "second_distance": 0.2221557444914359, "unambiguous": true }, { "best_distance": 0.0023501637081575206, "edge_kind": "map", "eigenfunction_mismatch": 1.787422197585542e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j2", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0023501637081575206, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j3", "reverse_second_best_gap": 0.21433897530114943, "reverse_second_distance": 0.21668913900930695, "reverse_unambiguous": true, "second_best_gap": 0.2197852703647064, "second_distance": 0.22213543407286393, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0023501637081575206, "max_resolution_difference": 0.01008457318804896, "omega_imag": -0.6911884207308033, "omega_real": 0.3032085136192016, "outgoing_phase_residual": 7.102824795756441e-15, "pencil_residual": 5.621018708254876e-16, "reference_difference": 0.6129517629648176, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.3035785545143526e-05, "transformed_residual": 8.583408533185579e-14, "unfactored_residual": 1.1016496391897946e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0032", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 4.193036864883775e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.3248977650723706e-12, "infinity_row_residual": 1.409057381406974e-12, "ingoing_phase_residual": 3.487900674733869e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.543686123373078e-08, "matching_checks": [ { "best_distance": 1.8189536867724374e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 4.81543249719607e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c0.7:j3", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.8189536867724374e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j4", "reverse_second_best_gap": 0.20441002647345174, "reverse_second_distance": 0.20442821601031946, "reverse_unambiguous": true, "second_best_gap": 0.2043971868383703, "second_distance": 0.20441537637523802, "unambiguous": true }, { "best_distance": 8.836984120978115e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.136381089228422e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j5", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.836984120978115e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j4", "reverse_second_best_gap": 0.20431065787712524, "reverse_second_distance": 0.204399027718335, "reverse_unambiguous": true, "second_best_gap": 0.20432667851952652, "second_distance": 0.2044150483607363, "unambiguous": true }, { "best_distance": 2.294314861978204e-05, "edge_kind": "map", "eigenfunction_mismatch": 7.661165035699469e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j3", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.294314861978204e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j4", "reverse_second_best_gap": 0.20439691866682663, "reverse_second_distance": 0.2044198618154464, "reverse_unambiguous": true, "second_best_gap": 0.20439243206200863, "second_distance": 0.2044153752106284, "unambiguous": true }, { "best_distance": 0.0001030060594859635, "edge_kind": "map", "eigenfunction_mismatch": 1.543686123373078e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j3", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0001030060594859635, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j4", "reverse_second_best_gap": 0.20433680215999125, "reverse_second_distance": 0.20443980821947721, "reverse_unambiguous": true, "second_best_gap": 0.2043136319612383, "second_distance": 0.20441663802072427, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0001030060594859635, "max_resolution_difference": 8.836984120978115e-05, "omega_imag": -0.47328199323327175, "omega_real": 0.3464754381662806, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 1.1623847606603816e-15, "reference_difference": 0.3908937005740258, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.136381089228422e-08, "transformed_residual": 2.2158458233972276e-13, "unfactored_residual": 3.027704576501243e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 8.782743331211677e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 5.196881635775052e-12, "infinity_row_residual": 3.838514926743932e-12, "ingoing_phase_residual": 1.7544916067030304e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 6.233236149455479e-12, "matching_checks": [ { "best_distance": 1.1554035348506358e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 4.9182879990894435e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c0.7:j4", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1554035348506358e-07, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j5", "reverse_second_best_gap": 0.18670769468731918, "reverse_second_distance": 0.18670781022767266, "reverse_unambiguous": true, "second_best_gap": 0.1867077289322862, "second_distance": 0.1867078444726397, "unambiguous": true }, { "best_distance": 3.909237656279194e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 5.605516051332415e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j7", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.909237656279194e-07, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j5", "reverse_second_best_gap": 0.18670772092070176, "reverse_second_distance": 0.1867081118444674, "reverse_unambiguous": true, "second_best_gap": 0.18670745341055642, "second_distance": 0.18670784433432205, "unambiguous": true }, { "best_distance": 1.545390267181862e-07, "edge_kind": "map", "eigenfunction_mismatch": 8.781864124784988e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j4", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.545390267181862e-07, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j5", "reverse_second_best_gap": 0.18670765968634984, "reverse_second_distance": 0.18670781422537655, "reverse_unambiguous": true, "second_best_gap": 0.18670768983210598, "second_distance": 0.1867078443711327, "unambiguous": true }, { "best_distance": 1.3035786332806406e-06, "edge_kind": "map", "eigenfunction_mismatch": 6.233236149455479e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j4", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.3035786332806406e-06, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j5", "reverse_second_best_gap": 0.1867052421324, "reverse_second_distance": 0.1867065457110333, "reverse_unambiguous": true, "second_best_gap": 0.18670654148002264, "second_distance": 0.18670784505865592, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.3035786332806406e-06, "max_resolution_difference": 3.909237656279194e-07, "omega_imag": -0.27257376986153664, "omega_real": 0.3852289942077139, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 1.9207926091093722e-15, "reference_difference": 0.1867078446613332, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.605516051332415e-13, "transformed_residual": 4.816253122916745e-13, "unfactored_residual": 1.0815557776343735e-14 }, { "N": 24, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N24:c0.7:j6", "case": "kerr-radial", "coefficient_tail": 2.7757621123414867e-14, "failure_reasons": [], "horizon_row_residual": 1.255317500130464e-11, "infinity_row_residual": 2.484929786378387e-12, "ingoing_phase_residual": 1.1289794417385914e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.367425339121515e-11, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c0.7:j5", "peer_configuration": [ "kerr-radial", 20, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.367425339121515e-11, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j6", "reverse_second_best_gap": 0.18670784445896543, "reverse_second_distance": 0.1867078444726397, "reverse_unambiguous": true, "second_best_gap": 0.1867078102139984, "second_distance": 0.18670781022767266, "unambiguous": true }, { "best_distance": 8.376241684062369e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j8", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.376241684062369e-10, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j6", "reverse_second_best_gap": 0.1867078434966979, "reverse_second_distance": 0.18670784433432205, "reverse_unambiguous": true, "second_best_gap": 0.18670811100684323, "second_distance": 0.1867081118444674, "unambiguous": true }, { "best_distance": 2.3759005354466395e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j5", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.3759005354466395e-10, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j6", "reverse_second_best_gap": 0.18670784413354263, "reverse_second_distance": 0.1867078443711327, "reverse_unambiguous": true, "second_best_gap": 0.1867078139877865, "second_distance": 0.18670781422537655, "unambiguous": true }, { "best_distance": 3.507311602265187e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j5", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.507311602265187e-09, "reverse_nearest_candidate_id": "kerr-radial:N24:c0.7:j6", "reverse_second_best_gap": 0.18670784155134432, "reverse_second_distance": 0.18670784505865592, "reverse_unambiguous": true, "second_best_gap": 0.18670654220372168, "second_distance": 0.1867065457110333, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.507311602265187e-09, "max_resolution_difference": 8.376241684062369e-10, "omega_imag": -0.08725714490854423, "omega_real": 0.4079791086666159, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 3.4117523382576073e-15, "reference_difference": 1.794235897888092e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 5.116264193826794e-13, "unfactored_residual": 2.4775324821311767e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0033", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 0.0035883426094540103, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.2402130700305129e-09, "infinity_row_residual": 8.015792977396785e-13, "ingoing_phase_residual": 1.845666628420876e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.006050839656639995, "matching_checks": [ { "best_distance": 0.008285550148744119, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006190977015406496, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j0", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008285550148744119, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j0", "reverse_second_best_gap": 0.4040948647467553, "reverse_second_distance": 0.4123804148954994, "reverse_unambiguous": true, "second_best_gap": 0.40534597392134897, "second_distance": 0.41363152407009307, "unambiguous": true }, { "best_distance": 0.004987589685252127, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004307818033083, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j1", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004987589685252127, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j0", "reverse_second_best_gap": 0.4094935876096242, "reverse_second_distance": 0.4144811772948763, "reverse_unambiguous": true, "second_best_gap": 0.014781299808739115, "second_distance": 0.01976888949399124, "unambiguous": true }, { "best_distance": 0.0057618688967336715, "edge_kind": "map", "eigenfunction_mismatch": 0.006050839656639995, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j1", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0057618688967336715, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j0", "reverse_second_best_gap": 0.40885745383302796, "reverse_second_distance": 0.41461932272976165, "reverse_unambiguous": true, "second_best_gap": 0.011738087771452148, "second_distance": 0.01749995666818582, "unambiguous": true }, { "best_distance": 0.00787435130418872, "edge_kind": "map", "eigenfunction_mismatch": 0.00568222442865407, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j0", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00787435130418872, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j0", "reverse_second_best_gap": 0.4045656217815461, "reverse_second_distance": 0.4124399730857348, "reverse_unambiguous": true, "second_best_gap": 0.4057571731480242, "second_distance": 0.4136315244522129, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00787435130418872, "max_resolution_difference": 0.008285550148744119, "omega_imag": -0.018788275517912397, "omega_real": 5.3810227626337445e-05, "outgoing_phase_residual": 2.984226030292058e-13, "pencil_residual": 2.2446451175931484e-14, "reference_difference": 0.4136315210404796, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006190977015406496, "transformed_residual": 0.06710168729066732, "unfactored_residual": 0.004784317851618256 }, { "N": 24, "accepted": false, "branch_id": "branch-0034", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 7.038162783048257e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.732363931640448e-12, "infinity_row_residual": 3.1949955864656766e-13, "ingoing_phase_residual": 7.924245713878343e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 2.6413455508356165e-05, "matching_checks": [ { "best_distance": 0.004760441374766223, "edge_kind": "resolution", "eigenfunction_mismatch": 3.740205767766014e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j1", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004760441374766223, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j1", "reverse_second_best_gap": 0.22862858334090128, "reverse_second_distance": 0.2333890247156675, "reverse_unambiguous": true, "second_best_gap": 0.22489143754627136, "second_distance": 0.22965187892103758, "unambiguous": true }, { "best_distance": 0.011582563183470927, "edge_kind": "resolution", "eigenfunction_mismatch": 2.2206658924051048e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j2", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011582563183470927, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j1", "reverse_second_best_gap": 0.22111333035540148, "reverse_second_distance": 0.2326958935388724, "reverse_unambiguous": true, "second_best_gap": 0.2192390854131456, "second_distance": 0.23082164859661652, "unambiguous": true }, { "best_distance": 0.012560656314607215, "edge_kind": "map", "eigenfunction_mismatch": 2.6413455508356165e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j2", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.012560656314607215, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j1", "reverse_second_best_gap": 0.20552975709817842, "reverse_second_distance": 0.21809041341278562, "reverse_unambiguous": true, "second_best_gap": 0.21891606103437208, "second_distance": 0.2314767173489793, "unambiguous": true }, { "best_distance": 0.008175064573102294, "edge_kind": "map", "eigenfunction_mismatch": 1.0999608428985397e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j1", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008175064573102294, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j1", "reverse_second_best_gap": 0.22839187463066504, "reverse_second_distance": 0.23656693920376734, "reverse_unambiguous": true, "second_best_gap": 0.220956642522193, "second_distance": 0.2291317070952953, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.012560656314607215, "max_resolution_difference": 0.011582563183470927, "omega_imag": -0.9193930809656184, "omega_real": 0.2644257375224362, "outgoing_phase_residual": 5.494482420051847e-15, "pencil_residual": 2.683661323260095e-16, "reference_difference": 0.8444274905199511, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.2206658924051048e-05, "transformed_residual": 2.6369693582313313e-14, "unfactored_residual": 3.360919196475074e-16 }, { "N": 24, "accepted": false, "branch_id": "branch-0035", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 2.8423100969805297e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.854998099103049e-12, "infinity_row_residual": 1.8315066554393078e-13, "ingoing_phase_residual": 7.934909557292857e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.342545647575193e-07, "matching_checks": [ { "best_distance": 0.0009008163278897123, "edge_kind": "resolution", "eigenfunction_mismatch": 2.624425482489201e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j2", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0009008163278897123, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j2", "reverse_second_best_gap": 0.2230704218971578, "reverse_second_distance": 0.22397123822504753, "reverse_unambiguous": true, "second_best_gap": 0.2221742767734198, "second_distance": 0.22307509310130952, "unambiguous": true }, { "best_distance": 0.0005697705931446498, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0531739202956913e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005697705931446498, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j2", "reverse_second_best_gap": 0.22222500120640995, "reverse_second_distance": 0.2227947717995546, "reverse_unambiguous": true, "second_best_gap": 0.22253520751956316, "second_distance": 0.2231049781127078, "unambiguous": true }, { "best_distance": 0.0009553242740053932, "edge_kind": "map", "eigenfunction_mismatch": 2.963146034096198e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j3", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0009553242740053932, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j2", "reverse_second_best_gap": 0.22120042021743053, "reverse_second_distance": 0.2221557444914359, "reverse_unambiguous": true, "second_best_gap": 0.21713508913878024, "second_distance": 0.21809041341278562, "unambiguous": true }, { "best_distance": 0.0014013875446282902, "edge_kind": "map", "eigenfunction_mismatch": 6.342545647575193e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j2", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0014013875446282902, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j2", "reverse_second_best_gap": 0.22309436964572857, "reverse_second_distance": 0.22449575719035686, "reverse_unambiguous": true, "second_best_gap": 0.22167340771491714, "second_distance": 0.22307479525954543, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0014013875446282902, "max_resolution_difference": 0.0009008163278897123, "omega_imag": -0.6921436750434325, "omega_real": 0.30319695218731735, "outgoing_phase_residual": 7.203628004108047e-15, "pencil_residual": 2.9841523623091784e-16, "reference_difference": 0.6138949542667665, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.624425482489201e-07, "transformed_residual": 1.660883943078825e-13, "unfactored_residual": 2.0738361129349177e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0036", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 7.862557590931747e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.1195176279100758e-12, "infinity_row_residual": 8.096511665436758e-13, "ingoing_phase_residual": 3.4879893908927967e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.330889172431966e-09, "matching_checks": [ { "best_distance": 5.8255004346664464e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 4.937349862288443e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.0:j3", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 5.8255004346664464e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j3", "reverse_second_best_gap": 0.20438137921732413, "reverse_second_distance": 0.2044396342216708, "reverse_unambiguous": true, "second_best_gap": 0.20436263543818484, "second_distance": 0.2044208904425315, "unambiguous": true }, { "best_distance": 3.018816615059817e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.3264165321658083e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j4", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.018816615059817e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j3", "reverse_second_best_gap": 0.20437990704340997, "reverse_second_distance": 0.20441009520956058, "reverse_unambiguous": true, "second_best_gap": 0.2043897054565204, "second_distance": 0.20441989362267102, "unambiguous": true }, { "best_distance": 2.294314861978204e-05, "edge_kind": "map", "eigenfunction_mismatch": 7.661165035699469e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j4", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.294314861978204e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j3", "reverse_second_best_gap": 0.20439243206200863, "reverse_second_distance": 0.2044153752106284, "reverse_unambiguous": true, "second_best_gap": 0.20439691866682663, "second_distance": 0.2044198618154464, "unambiguous": true }, { "best_distance": 8.008780170683054e-05, "edge_kind": "map", "eigenfunction_mismatch": 9.330889172431966e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j3", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 8.008780170683054e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j3", "reverse_second_best_gap": 0.2043597610640413, "reverse_second_distance": 0.20443984886574812, "reverse_unambiguous": true, "second_best_gap": 0.20434107739960047, "second_distance": 0.2044211652013073, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 8.008780170683054e-05, "max_resolution_difference": 5.8255004346664464e-05, "omega_imag": -0.4732821729486956, "omega_real": 0.3464524957215339, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 9.74285469787034e-16, "reference_difference": 0.39089748849693234, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.937349862288443e-09, "transformed_residual": 1.0413011951675409e-12, "unfactored_residual": 1.417862483723074e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 9.728436113313188e-13, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 1.6655712976317516e-11, "infinity_row_residual": 5.296073116480394e-12, "ingoing_phase_residual": 1.7544917737787278e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 5.9080518255427705e-12, "matching_checks": [ { "best_distance": 9.882925700877372e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 3.58268970046538e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.0:j4", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.882925700877372e-07, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j4", "reverse_second_best_gap": 0.18670583857148274, "reverse_second_distance": 0.18670682686405282, "reverse_unambiguous": true, "second_best_gap": 0.18670682576429434, "second_distance": 0.18670781405686443, "unambiguous": true }, { "best_distance": 1.262078753633935e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 5.828670879282072e-14, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j5", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.262078753633935e-07, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j4", "reverse_second_best_gap": 0.18670768802429968, "reverse_second_distance": 0.18670781423217506, "reverse_unambiguous": true, "second_best_gap": 0.18670768791796166, "second_distance": 0.18670781412583703, "unambiguous": true }, { "best_distance": 1.545390267181862e-07, "edge_kind": "map", "eigenfunction_mismatch": 8.759659664292485e-14, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j5", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.545390267181862e-07, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j4", "reverse_second_best_gap": 0.18670768983210598, "reverse_second_distance": 0.1867078443711327, "reverse_unambiguous": true, "second_best_gap": 0.18670765968634984, "second_distance": 0.18670781422537655, "unambiguous": true }, { "best_distance": 1.269135953347933e-06, "edge_kind": "map", "eigenfunction_mismatch": 5.9080518255427705e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j4", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.269135953347933e-06, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j4", "reverse_second_best_gap": 0.18670527646221344, "reverse_second_distance": 0.1867065455981668, "reverse_unambiguous": true, "second_best_gap": 0.18670654566407727, "second_distance": 0.18670781480003062, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.269135953347933e-06, "max_resolution_difference": 9.882925700877372e-07, "omega_imag": -0.2725737582942221, "omega_real": 0.38522914831322325, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 4.761228596243475e-15, "reference_difference": 0.18670781440271064, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.58268970046538e-12, "transformed_residual": 1.6525549428310806e-12, "unfactored_residual": 3.709139439593724e-14 }, { "N": 24, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 4.165598568989941e-13, "failure_reasons": [], "horizon_row_residual": 5.0092010176838745e-11, "infinity_row_residual": 1.0176004852160344e-11, "ingoing_phase_residual": 1.1289794419328698e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 2.8360696759577556e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.0:j5", "peer_configuration": [ "kerr-radial", 20, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.8360696759577556e-09, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j5", "reverse_second_best_gap": 0.18670781122079474, "reverse_second_distance": 0.18670781405686443, "reverse_unambiguous": true, "second_best_gap": 0.18670682402798314, "second_distance": 0.18670682686405282, "unambiguous": true }, { "best_distance": 3.1939796040854736e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j6", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.1939796040854736e-10, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j5", "reverse_second_best_gap": 0.18670781380643908, "reverse_second_distance": 0.18670781412583703, "reverse_unambiguous": true, "second_best_gap": 0.1867078139127771, "second_distance": 0.18670781423217506, "unambiguous": true }, { "best_distance": 2.3759005354466395e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j6", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.3759005354466395e-10, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j5", "reverse_second_best_gap": 0.1867078139877865, "reverse_second_distance": 0.18670781422537655, "reverse_unambiguous": true, "second_best_gap": 0.18670784413354263, "second_distance": 0.1867078443711327, "unambiguous": true }, { "best_distance": 3.322751133536673e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j5", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.322751133536673e-09, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.0:j5", "reverse_second_best_gap": 0.1867078114772795, "reverse_second_distance": 0.18670781480003062, "reverse_unambiguous": true, "second_best_gap": 0.18670654227541567, "second_distance": 0.1867065455981668, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.322751133536673e-09, "max_resolution_difference": 2.8360696759577556e-09, "omega_imag": -0.08725714504604452, "omega_real": 0.4079791088603753, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 1.1304799042159149e-14, "reference_difference": 3.4242606113544064e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 8.936721464520018e-13, "unfactored_residual": 4.328032804829251e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0037", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 0.0033737106212764745, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.548112891318065e-11, "infinity_row_residual": 4.753326896799521e-13, "ingoing_phase_residual": 1.9180434512088234e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.00568222442865407, "matching_checks": [ { "best_distance": 0.41243995798731, "edge_kind": "resolution", "eigenfunction_mismatch": 0.5123876903364679, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": false, "reverse_best_distance": 3.572615177480318e-08, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j5", "reverse_second_best_gap": 0.18670654167837036, "reverse_second_distance": 0.18670657740452215, "reverse_unambiguous": true, "second_best_gap": 0.04456748595742033, "second_distance": 0.4570074439447303, "unambiguous": true }, { "best_distance": 0.007154634026588912, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004537742848149895, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j0", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007154634026588912, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j0", "reverse_second_best_gap": 0.4063610336327154, "reverse_second_distance": 0.4135156676593043, "reverse_unambiguous": true, "second_best_gap": 0.4052853389126475, "second_distance": 0.4124399729392364, "unambiguous": true }, { "best_distance": 0.00962570021285897, "edge_kind": "map", "eigenfunction_mismatch": 0.004523077833915146, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j0", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00962570021285897, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j0", "reverse_second_best_gap": 0.401494683253058, "reverse_second_distance": 0.41112038346591695, "reverse_unambiguous": true, "second_best_gap": 0.00401049186690009, "second_distance": 0.013636192079759059, "unambiguous": true }, { "best_distance": 0.00787435130418872, "edge_kind": "map", "eigenfunction_mismatch": 0.00568222442865407, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j0", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00787435130418872, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j0", "reverse_second_best_gap": 0.4057571731480242, "reverse_second_distance": 0.4136315244522129, "reverse_unambiguous": true, "second_best_gap": 0.4045656217815461, "second_distance": 0.4124399730857348, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00962570021285897, "max_resolution_difference": 0.41243995798731, "omega_imag": -0.026662529299058893, "omega_real": 1.4620281483350113e-05, "outgoing_phase_residual": 2.1028176093823e-13, "pencil_residual": 4.463434887405429e-15, "reference_difference": 0.41243997289668494, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.5123876903364679, "transformed_residual": 0.04495886507020712, "unfactored_residual": 0.003793968797659724 }, { "N": 24, "accepted": false, "branch_id": "branch-0038", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 6.019966014202751e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.7532466197047883e-11, "infinity_row_residual": 8.737878539746397e-13, "ingoing_phase_residual": 7.744136227506875e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.529548830769283e-05, "matching_checks": [ { "best_distance": 0.008229964107991353, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1043497902263333e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j0", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.008229964107991353, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j1", "reverse_second_best_gap": 0.23314737887635406, "reverse_second_distance": 0.2413773429843454, "reverse_unambiguous": true, "second_best_gap": 0.22489575764787764, "second_distance": 0.233125721755869, "unambiguous": true }, { "best_distance": 0.0006353900700589121, "edge_kind": "resolution", "eigenfunction_mismatch": 6.616859882235815e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j1", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0006353900700589121, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j1", "reverse_second_best_gap": 0.2342336357941407, "reverse_second_distance": 0.2348690258641996, "reverse_unambiguous": true, "second_best_gap": 0.23553801250468084, "second_distance": 0.23617340257473976, "unambiguous": true }, { "best_distance": 0.01979541715897577, "edge_kind": "map", "eigenfunction_mismatch": 6.529548830769283e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j2", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01979541715897577, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j1", "reverse_second_best_gap": 0.1968937218503312, "reverse_second_distance": 0.21668913900930695, "reverse_unambiguous": true, "second_best_gap": 0.21771841014424678, "second_distance": 0.23751382730322254, "unambiguous": true }, { "best_distance": 0.008175064573102294, "edge_kind": "map", "eigenfunction_mismatch": 1.099960842865233e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j1", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008175064573102294, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j1", "reverse_second_best_gap": 0.220956642522193, "reverse_second_distance": 0.2291317070952953, "reverse_unambiguous": true, "second_best_gap": 0.22839187463066504, "second_distance": 0.23656693920376734, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01979541715897577, "max_resolution_difference": 0.008229964107991353, "omega_imag": -0.9262156005109206, "omega_real": 0.26892961449992603, "outgoing_phase_residual": 5.477350299340604e-15, "pencil_residual": 7.895427185940891e-16, "reference_difference": 0.8504034644555694, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1043497902263333e-05, "transformed_residual": 2.374139062174018e-13, "unfactored_residual": 2.7859021190138077e-15 }, { "N": 24, "accepted": false, "branch_id": "branch-0039", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 2.744644379667328e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0358981136778626e-11, "infinity_row_residual": 1.865475764852686e-12, "ingoing_phase_residual": 7.963977014338263e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.787422197585542e-06, "matching_checks": [ { "best_distance": 0.002567803604874575, "edge_kind": "resolution", "eigenfunction_mismatch": 2.116447124778098e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j1", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.002567803604874575, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j2", "reverse_second_best_gap": 0.22387993627243274, "reverse_second_distance": 0.22644773987730732, "reverse_unambiguous": true, "second_best_gap": 0.22162263956332726, "second_distance": 0.22419044316820183, "unambiguous": true }, { "best_distance": 0.001151828833249171, "edge_kind": "resolution", "eigenfunction_mismatch": 4.2778738718052267e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j2", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.001151828833249171, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j2", "reverse_second_best_gap": 0.22234637960637868, "reverse_second_distance": 0.22349820843962784, "reverse_unambiguous": true, "second_best_gap": 0.22336848989859862, "second_distance": 0.22452031873184777, "unambiguous": true }, { "best_distance": 0.0023501637081575206, "edge_kind": "map", "eigenfunction_mismatch": 1.787422197585542e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j3", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0023501637081575206, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j2", "reverse_second_best_gap": 0.2197852703647064, "reverse_second_distance": 0.22213543407286393, "reverse_unambiguous": true, "second_best_gap": 0.21433897530114943, "second_distance": 0.21668913900930695, "unambiguous": true }, { "best_distance": 0.0014013875446282902, "edge_kind": "map", "eigenfunction_mismatch": 6.342545647575193e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j2", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0014013875446282902, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j2", "reverse_second_best_gap": 0.22167340771491714, "reverse_second_distance": 0.22307479525954543, "reverse_unambiguous": true, "second_best_gap": 0.22309436964572857, "second_distance": 0.22449575719035686, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0023501637081575206, "max_resolution_difference": 0.002567803604874575, "omega_imag": -0.6935262640208352, "omega_real": 0.30296818424855826, "outgoing_phase_residual": 7.327682229021407e-15, "pencil_residual": 1.252372159107262e-15, "reference_difference": 0.6152963020008702, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.116447124778098e-06, "transformed_residual": 2.684495381841121e-12, "unfactored_residual": 3.3534806386906704e-14 }, { "N": 24, "accepted": false, "branch_id": "branch-0040", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 9.054607844607645e-12, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.906508664262213e-12, "infinity_row_residual": 3.342780850045655e-12, "ingoing_phase_residual": 3.488351904306037e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.543686123373078e-08, "matching_checks": [ { "best_distance": 0.0002970456551255343, "edge_kind": "resolution", "eigenfunction_mismatch": 1.2814996597221295e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j2", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0002970456551255343, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j3", "reverse_second_best_gap": 0.20442889630901664, "reverse_second_distance": 0.20472594196414218, "reverse_unambiguous": true, "second_best_gap": 0.2041438358698702, "second_distance": 0.20444088152499573, "unambiguous": true }, { "best_distance": 9.120145135365718e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.2101350588267223e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j3", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 9.120145135365718e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j3", "reverse_second_best_gap": 0.20430541038641806, "reverse_second_distance": 0.20439661183777172, "reverse_unambiguous": true, "second_best_gap": 0.20434852506382764, "second_distance": 0.2044397265151813, "unambiguous": true }, { "best_distance": 0.0001030060594859635, "edge_kind": "map", "eigenfunction_mismatch": 1.543686123373078e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j4", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0001030060594859635, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j3", "reverse_second_best_gap": 0.2043136319612383, "reverse_second_distance": 0.20441663802072427, "reverse_unambiguous": true, "second_best_gap": 0.20433680215999125, "second_distance": 0.20443980821947721, "unambiguous": true }, { "best_distance": 8.008780170683054e-05, "edge_kind": "map", "eigenfunction_mismatch": 9.330889172431966e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j3", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.008780170683054e-05, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j3", "reverse_second_best_gap": 0.20434107739960047, "reverse_second_distance": 0.2044211652013073, "reverse_unambiguous": true, "second_best_gap": 0.2043597610640413, "second_distance": 0.20443984886574812, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0001030060594859635, "max_resolution_difference": 0.0002970456551255343, "omega_imag": -0.47328702885989515, "omega_real": 0.34637255526801597, "outgoing_phase_residual": 9.481363131331599e-15, "pencil_residual": 1.8923606645588754e-15, "reference_difference": 0.3909148741919054, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.2814996597221295e-07, "transformed_residual": 1.9246552148095788e-11, "unfactored_residual": 2.6208920254202835e-13 }, { "N": 24, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 1.4054525959194472e-11, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.2061543653844497e-11, "infinity_row_residual": 4.263072236851069e-12, "ingoing_phase_residual": 1.7544850844180814e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.233236149455479e-12, "matching_checks": [ { "best_distance": 7.423519584786903e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0213486440212591e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N20:c1.4:j3", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.423519584786903e-06, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j4", "reverse_second_best_gap": 0.18669884046460886, "reverse_second_distance": 0.18670626398419365, "reverse_unambiguous": true, "second_best_gap": 0.18669915388493735, "second_distance": 0.18670657740452215, "unambiguous": true }, { "best_distance": 1.4097526944852372e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 7.28983540199124e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j4", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.4097526944852372e-06, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j4", "reverse_second_best_gap": 0.1867065364461644, "reverse_second_distance": 0.1867079461988589, "reverse_unambiguous": true, "second_best_gap": 0.186705135688221, "second_distance": 0.1867065454409155, "unambiguous": true }, { "best_distance": 1.3035786332806406e-06, "edge_kind": "map", "eigenfunction_mismatch": 6.233236149455479e-12, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j5", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.3035786332806406e-06, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j4", "reverse_second_best_gap": 0.18670654148002264, "reverse_second_distance": 0.18670784505865592, "reverse_unambiguous": true, "second_best_gap": 0.1867052421324, "second_distance": 0.1867065457110333, "unambiguous": true }, { "best_distance": 1.269135953347933e-06, "edge_kind": "map", "eigenfunction_mismatch": 5.9080518255427705e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j4", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.269135953347933e-06, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j4", "reverse_second_best_gap": 0.18670654566407727, "reverse_second_distance": 0.18670781480003062, "reverse_unambiguous": true, "second_best_gap": 0.18670527646221344, "second_distance": 0.1867065455981668, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.3035786332806406e-06, "max_resolution_difference": 7.423519584786903e-06, "omega_imag": -0.2725724943924523, "omega_real": 0.38522926345828123, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 2.495061770159423e-15, "reference_difference": 0.18670654588836738, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.0213486440212591e-10, "transformed_residual": 3.8480940584438225e-11, "unfactored_residual": 8.63698029399011e-13 }, { "N": 24, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N24:c1.4:j5", "case": "kerr-radial", "coefficient_tail": 7.540622412405667e-12, "failure_reasons": [], "horizon_row_residual": 1.8808657443980177e-11, "infinity_row_residual": 1.156365640430966e-11, "ingoing_phase_residual": 1.1289794484870772e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.572615177480318e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 5.329070518200751e-15, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N20:c1.4:j4", "peer_configuration": [ "kerr-radial", 20, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.572615177480318e-08, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j5", "reverse_second_best_gap": 0.18670654167837036, "reverse_second_distance": 0.18670657740452215, "reverse_unambiguous": true, "second_best_gap": 0.18670622825804187, "second_distance": 0.18670626398419365, "unambiguous": true }, { "best_distance": 3.5047042127753577e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j5", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.5047042127753577e-09, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j5", "reverse_second_best_gap": 0.18670654193621128, "reverse_second_distance": 0.1867065454409155, "reverse_unambiguous": true, "second_best_gap": 0.18670794269415467, "second_distance": 0.1867079461988589, "unambiguous": true }, { "best_distance": 3.507311602265187e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j6", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.507311602265187e-09, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j5", "reverse_second_best_gap": 0.18670654220372168, "reverse_second_distance": 0.1867065457110333, "reverse_unambiguous": true, "second_best_gap": 0.18670784155134432, "second_distance": 0.18670784505865592, "unambiguous": true }, { "best_distance": 3.322751133536673e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j5", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.322751133536673e-09, "reverse_nearest_candidate_id": "kerr-radial:N24:c1.4:j5", "reverse_second_best_gap": 0.18670654227541567, "reverse_second_distance": 0.1867065455981668, "reverse_unambiguous": true, "second_best_gap": 0.1867078114772795, "second_distance": 0.18670781480003062, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 3.507311602265187e-09, "max_resolution_difference": 3.572615177480318e-08, "omega_imag": -0.08725714475975548, "omega_real": 0.4079791121707701, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 3.2186249187704677e-15, "reference_difference": 3.455529561537632e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 5.329070518200751e-15, "transformed_residual": 1.9424234060839464e-11, "unfactored_residual": 9.409762589611813e-13 }, { "N": 28, "accepted": false, "branch_id": "branch-0041", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 0.00316536556895278, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3390256832977442e-09, "infinity_row_residual": 9.509989343513522e-13, "ingoing_phase_residual": 1.804710525160596e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.022243764301026703, "matching_checks": [ { "best_distance": 0.003432509534254064, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004131580031144777, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j1", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.003432509534254064, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j0", "reverse_second_best_gap": 0.010213358937436651, "reverse_second_distance": 0.013645868471690716, "reverse_unambiguous": true, "second_best_gap": 0.023261811174600133, "second_distance": 0.026694320708854198, "unambiguous": true }, { "best_distance": 0.002236646944218098, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0030658270101019403, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j1", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002236646944218098, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j0", "reverse_second_best_gap": 0.01707836602911434, "reverse_second_distance": 0.01931501297333244, "reverse_unambiguous": true, "second_best_gap": 0.00859929651337018, "second_distance": 0.010835943457588279, "unambiguous": true }, { "best_distance": 0.004206788600701116, "edge_kind": "map", "eigenfunction_mismatch": 0.005841689755386681, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j1", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004206788600701116, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j0", "reverse_second_best_gap": 0.008664800063789248, "reverse_second_distance": 0.012871588664490364, "reverse_unambiguous": true, "second_best_gap": 0.0247564593176473, "second_distance": 0.028963247918348416, "unambiguous": true }, { "best_distance": 0.009914083408693894, "edge_kind": "map", "eigenfunction_mismatch": 0.022243764301026703, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j0", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.007164296001990475, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j1", "reverse_second_best_gap": 0.0027497874067034184, "reverse_second_distance": 0.009914083408693894, "reverse_unambiguous": true, "second_best_gap": 0.40533967375945795, "second_distance": 0.4152537571681518, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009914083408693894, "max_resolution_difference": 0.003432509534254064, "omega_imag": -0.00959390499002735, "omega_real": 5.25172995937427e-05, "outgoing_phase_residual": 5.844242146061294e-13, "pencil_residual": 3.744174989203219e-14, "reference_difference": 0.41525375710747503, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004131580031144777, "transformed_residual": 0.18261265047527514, "unfactored_residual": 0.009640303710223055 }, { "N": 28, "accepted": false, "branch_id": "branch-0042", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 6.09113310715908e-05, "failure_reasons": [ "local:transformed_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.967535836637509e-10, "infinity_row_residual": 7.985795922010866e-13, "ingoing_phase_residual": 1.9167381129814464e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.006469469147831086, "matching_checks": [ { "best_distance": 0.009615989188367419, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004512393328745423, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j0", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.009615989188367419, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j1", "reverse_second_best_gap": 0.01707833152048678, "reverse_second_distance": 0.026694320708854198, "reverse_unambiguous": true, "second_best_gap": 0.004029879283323297, "second_distance": 0.013645868471690716, "unambiguous": true }, { "best_distance": 0.006242439480001826, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0033134415119052685, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j2", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006242439480001826, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j1", "reverse_second_best_gap": 0.004593503977586452, "reverse_second_distance": 0.010835943457588279, "reverse_unambiguous": true, "second_best_gap": 0.009232012209653275, "second_distance": 0.0154744516896551, "unambiguous": true }, { "best_distance": 0.01188493521017967, "edge_kind": "map", "eigenfunction_mismatch": 0.006469469147831086, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j0", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.01188493521017967, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j1", "reverse_second_best_gap": 0.017078312708168744, "reverse_second_distance": 0.028963247918348416, "reverse_unambiguous": true, "second_best_gap": 0.0009866534543106938, "second_distance": 0.012871588664490364, "unambiguous": true }, { "best_distance": 0.007164296001990475, "edge_kind": "map", "eigenfunction_mismatch": 0.0045481374462099655, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j0", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007164296001990475, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j1", "reverse_second_best_gap": 0.0027497874067034184, "reverse_second_distance": 0.009914083408693894, "reverse_unambiguous": true, "second_best_gap": 0.4052280522729349, "second_distance": 0.4123923482749254, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.01188493521017967, "max_resolution_difference": 0.009615989188367419, "omega_imag": -0.026672277018004016, "omega_real": 6.131959081820969e-05, "outgoing_phase_residual": 2.1020768794399023e-13, "pencil_residual": 1.3532392961624348e-14, "reference_difference": 0.41239234823237686, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004512393328745423, "transformed_residual": 0.0011603591621141046, "unfactored_residual": 9.719177082069144e-05 }, { "N": 28, "accepted": false, "branch_id": "branch-0043", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 1.8270258270368056e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.1678047605070844e-11, "infinity_row_residual": 7.722460956394342e-13, "ingoing_phase_residual": 6.377992801432384e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.02827105911362293, "matching_checks": [ { "best_distance": 0.32954394611457527, "edge_kind": "resolution", "eigenfunction_mismatch": 0.028164140175395702, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j3", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.01008457318804896, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10658960524933626, "reverse_second_distance": 0.11667417843738523, "reverse_unambiguous": true, "second_best_gap": 0.0252122257892054, "second_distance": 0.35475617190378067, "unambiguous": true }, { "best_distance": 0.07485251094609312, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015445871282646628, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j3", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07485251094609312, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j2", "reverse_second_best_gap": 0.2102671256199698, "reverse_second_distance": 0.28511963656606293, "reverse_unambiguous": true, "second_best_gap": 0.21512394628647297, "second_distance": 0.2899764572325661, "unambiguous": true }, { "best_distance": 0.33032648452657287, "edge_kind": "map", "eigenfunction_mismatch": 0.02827105911362293, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.010935724607672425, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10508793157593672, "reverse_second_distance": 0.11602365618360914, "reverse_unambiguous": true, "second_best_gap": 0.024437398052676196, "second_distance": 0.35476388257924907, "unambiguous": true }, { "best_distance": 0.3294651732671747, "edge_kind": "map", "eigenfunction_mismatch": 0.02808187185641864, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j2", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.010314265494503719, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10500697524374447, "reverse_second_distance": 0.11532124073824819, "reverse_unambiguous": true, "second_best_gap": 0.025280795150364077, "second_distance": 0.3547459684175388, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.33032648452657287, "max_resolution_difference": 0.32954394611457527, "omega_imag": -0.5577022084380266, "omega_real": 0.0019102501849529942, "outgoing_phase_residual": 9.77054508849552e-15, "pencil_residual": 8.477305271570383e-16, "reference_difference": 0.6214583460135482, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.028164140175395702, "transformed_residual": 2.955405232982626e-13, "unfactored_residual": 4.38905761892808e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0044", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 3.708231599272588e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.0022254467930407e-11, "infinity_row_residual": 6.404636476074738e-13, "ingoing_phase_residual": 9.091505007499304e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.003472556950578798, "matching_checks": [ { "best_distance": 0.10235916881237904, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001988502950184712, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j2", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10235916881237904, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j3", "reverse_second_best_gap": 0.02681655861754699, "reverse_second_distance": 0.12917572742992603, "reverse_unambiguous": true, "second_best_gap": 0.01431500962500619, "second_distance": 0.11667417843738523, "unambiguous": true }, { "best_distance": 0.09313646729054001, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00215379633322188, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j6", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.08949350374741784, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.0036429635431221713, "reverse_second_distance": 0.09313646729054001, "reverse_unambiguous": true, "second_best_gap": 0.07588778646367145, "second_distance": 0.16902425375421146, "unambiguous": true }, { "best_distance": 0.11602365618360914, "edge_kind": "map", "eigenfunction_mismatch": 0.003472556950578798, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.010935724607672425, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10508793157593672, "reverse_second_distance": 0.11602365618360914, "reverse_unambiguous": true, "second_best_gap": 0.0012947314785066166, "second_distance": 0.11731838766211576, "unambiguous": true }, { "best_distance": 0.11532124073824819, "edge_kind": "map", "eigenfunction_mismatch": 0.003423013327303104, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j2", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.010314265494503719, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10500697524374447, "reverse_second_distance": 0.11532124073824819, "reverse_unambiguous": true, "second_best_gap": 0.0053361140717457095, "second_distance": 0.1206573548099939, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.11602365618360914, "max_resolution_difference": 0.10235916881237904, "omega_imag": -0.8061004965732635, "omega_real": 0.2830075547405869, "outgoing_phase_residual": 6.269811901554683e-15, "pencil_residual": 5.299923364174124e-16, "reference_difference": 0.7296256943006435, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00215379633322188, "transformed_residual": 7.780871260493371e-14, "unfactored_residual": 9.357399772399324e-16 }, { "N": 28, "accepted": false, "branch_id": "branch-0045", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 4.0038522023272836e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.499683680256153e-12, "infinity_row_residual": 9.079813643534374e-13, "ingoing_phase_residual": 8.142037814644145e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 3.881545642148154e-05, "matching_checks": [ { "best_distance": 0.01008457318804896, "edge_kind": "resolution", "eigenfunction_mismatch": 3.3035785545143526e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j3", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01008457318804896, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10658960524933626, "reverse_second_distance": 0.11667417843738523, "reverse_unambiguous": true, "second_best_gap": 0.20860678230899807, "second_distance": 0.21869135549704702, "unambiguous": true }, { "best_distance": 0.050614858769111835, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009010329227955305, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j4", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.050614858769111835, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.11840939498509961, "reverse_second_distance": 0.16902425375421146, "reverse_unambiguous": true, "second_best_gap": 0.038878644978306, "second_distance": 0.08949350374741784, "unambiguous": true }, { "best_distance": 0.010935724607672425, "edge_kind": "map", "eigenfunction_mismatch": 3.881545642148154e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.010935724607672425, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10508793157593672, "reverse_second_distance": 0.11602365618360914, "reverse_unambiguous": true, "second_best_gap": 0.20776119704066778, "second_distance": 0.2186969216483402, "unambiguous": true }, { "best_distance": 0.010314265494503719, "edge_kind": "map", "eigenfunction_mismatch": 3.4432217751567684e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j2", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.010314265494503719, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j4", "reverse_second_best_gap": 0.10500697524374447, "reverse_second_distance": 0.11532124073824819, "reverse_unambiguous": true, "second_best_gap": 0.20839610938796532, "second_distance": 0.21871037488246903, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.010935724607672425, "max_resolution_difference": 0.050614858769111835, "omega_imag": -0.6857585902434685, "omega_real": 0.2947105399040195, "outgoing_phase_residual": 7.428752721584533e-15, "pencil_residual": 6.274467262720076e-16, "reference_difference": 0.6091253967413113, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0009010329227955305, "transformed_residual": 1.232152649759655e-13, "unfactored_residual": 1.524527513571441e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0046", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 4.7643327782841076e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.5405659590273676e-12, "infinity_row_residual": 2.7169001563890416e-12, "ingoing_phase_residual": 3.487800584833294e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.2738880506013572e-08, "matching_checks": [ { "best_distance": 8.836984120978115e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.136381089228422e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j4", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.836984120978115e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j5", "reverse_second_best_gap": 0.20432667851952652, "reverse_second_distance": 0.2044150483607363, "reverse_unambiguous": true, "second_best_gap": 0.20431065787712524, "second_distance": 0.204399027718335, "unambiguous": true }, { "best_distance": 0.00045835443823336936, "edge_kind": "resolution", "eigenfunction_mismatch": 3.0511907700425667e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j5", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00045835443823336936, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j5", "reverse_second_best_gap": 0.20393548167548142, "reverse_second_distance": 0.20439383611371478, "reverse_unambiguous": true, "second_best_gap": 0.17602208885897938, "second_distance": 0.17648044329721274, "unambiguous": true }, { "best_distance": 9.356186152722825e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.2738880506013572e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j4", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.356186152722825e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j5", "reverse_second_best_gap": 0.20431620651045185, "reverse_second_distance": 0.20440976837197908, "reverse_unambiguous": true, "second_best_gap": 0.20430549767133935, "second_distance": 0.20439905953286658, "unambiguous": true }, { "best_distance": 6.651082466358651e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.437205990472705e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j3", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.651082466358651e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j5", "reverse_second_best_gap": 0.20432851132424898, "reverse_second_distance": 0.20439502214891256, "reverse_unambiguous": true, "second_best_gap": 0.20433243517101682, "second_distance": 0.2043989459956804, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 9.356186152722825e-05, "max_resolution_difference": 0.00045835443823336936, "omega_imag": -0.4732494989236123, "omega_real": 0.3463932594057935, "outgoing_phase_residual": 9.448317563579092e-15, "pencil_residual": 1.0615495463133729e-15, "reference_difference": 0.39087455062536447, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 3.0511907700425667e-07, "transformed_residual": 3.284388424714601e-13, "unfactored_residual": 4.471614923453082e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0047", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j6", "case": "kerr-radial", "coefficient_tail": 3.305844789952182e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 8.238492923727695e-12, "infinity_row_residual": 2.743913928733683e-13, "ingoing_phase_residual": 5.959428477710662e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0021420611995248695, "matching_checks": [ { "best_distance": 0.12917572742992603, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002741988736417178, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c0.7:j2", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.10235916881237904, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j3", "reverse_second_best_gap": 0.02681655861754699, "reverse_second_distance": 0.12917572742992603, "reverse_unambiguous": true, "second_best_gap": 0.16839757062648672, "second_distance": 0.29757329805641275, "unambiguous": true }, { "best_distance": 0.07419961533965092, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009608770187730098, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j9", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07419961533965092, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j6", "reverse_second_best_gap": 0.12443195116731198, "reverse_second_distance": 0.1986315665069629, "reverse_unambiguous": true, "second_best_gap": 0.15740177730153415, "second_distance": 0.23160139264118507, "unambiguous": true }, { "best_distance": 0.11144149880658198, "edge_kind": "map", "eigenfunction_mismatch": 0.002019506496631629, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j2", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.11144149880658198, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j6", "reverse_second_best_gap": 0.0058768888555337795, "reverse_second_distance": 0.11731838766211576, "reverse_unambiguous": true, "second_best_gap": 0.18527946970844122, "second_distance": 0.2967209685150232, "unambiguous": true }, { "best_distance": 0.11509776229290558, "edge_kind": "map", "eigenfunction_mismatch": 0.0021420611995248695, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j1", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.11509776229290558, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j6", "reverse_second_best_gap": 0.005559592517088319, "reverse_second_distance": 0.1206573548099939, "reverse_unambiguous": true, "second_best_gap": 0.1813959634952872, "second_distance": 0.2964937257881928, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.11509776229290558, "max_resolution_difference": 0.12917572742992603, "omega_imag": -0.9810249942347276, "omega_real": 0.37062237254802277, "outgoing_phase_residual": 5.1541737728660035e-15, "pencil_residual": 4.1591893069826024e-16, "reference_difference": 0.894548206937394, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002741988736417178, "transformed_residual": 6.99408911913522e-14, "unfactored_residual": 8.499858004441181e-16 }, { "N": 28, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j7", "case": "kerr-radial", "coefficient_tail": 4.5562155831377694e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.5582537957822185e-12, "infinity_row_residual": 1.43717999338995e-11, "ingoing_phase_residual": 1.7544923891882215e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.2652101588628284e-12, "matching_checks": [ { "best_distance": 3.909237656279194e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 5.605516051332415e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j5", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.909237656279194e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j7", "reverse_second_best_gap": 0.18670745341055642, "reverse_second_distance": 0.18670784433432205, "reverse_unambiguous": true, "second_best_gap": 0.18670772092070176, "second_distance": 0.1867081118444674, "unambiguous": true }, { "best_distance": 1.0680146993626496e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 4.183986490602365e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j7", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.0680146993626496e-06, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j7", "reverse_second_best_gap": 0.18670746307508854, "reverse_second_distance": 0.1867085310897879, "reverse_unambiguous": true, "second_best_gap": 0.18670704319107878, "second_distance": 0.18670811120577815, "unambiguous": true }, { "best_distance": 4.300485505087389e-07, "edge_kind": "map", "eigenfunction_mismatch": 6.783462680459706e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j5", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.300485505087389e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j7", "reverse_second_best_gap": 0.18670738414681382, "reverse_second_distance": 0.18670781419536434, "reverse_unambiguous": true, "second_best_gap": 0.1867076816963771, "second_distance": 0.18670811174492763, "unambiguous": true }, { "best_distance": 5.873155553631927e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.2652101588628284e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j4", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 5.873155553631927e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j7", "reverse_second_best_gap": 0.18670735815897357, "reverse_second_distance": 0.18670794547452893, "reverse_unambiguous": true, "second_best_gap": 0.18670752425879436, "second_distance": 0.18670811157434972, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.873155553631927e-07, "max_resolution_difference": 1.0680146993626496e-06, "omega_imag": -0.27257400047816105, "omega_real": 0.38522867855384796, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 2.6121862050526804e-15, "reference_difference": 0.18670811202180157, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.183986490602365e-12, "transformed_residual": 6.607387359354902e-13, "unfactored_residual": 1.4798039385375983e-14 }, { "N": 28, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N28:c0.7:j8", "case": "kerr-radial", "coefficient_tail": 4.282138491890055e-14, "failure_reasons": [], "horizon_row_residual": 1.7901011112860135e-11, "infinity_row_residual": 2.935531575370537e-11, "ingoing_phase_residual": 1.1289794440414098e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 8.376241684062369e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N24:c0.7:j6", "peer_configuration": [ "kerr-radial", 24, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.376241684062369e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j8", "reverse_second_best_gap": 0.18670811100684323, "reverse_second_distance": 0.1867081118444674, "reverse_unambiguous": true, "second_best_gap": 0.1867078434966979, "second_distance": 0.18670784433432205, "unambiguous": true }, { "best_distance": 8.892305931935162e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j8", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.892305931935162e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j8", "reverse_second_best_gap": 0.18670811031654755, "reverse_second_distance": 0.18670811120577815, "reverse_unambiguous": true, "second_best_gap": 0.1867085302005573, "second_distance": 0.1867085310897879, "unambiguous": true }, { "best_distance": 9.35536997399342e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j6", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 9.35536997399342e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j8", "reverse_second_best_gap": 0.18670811080939062, "reverse_second_distance": 0.18670811174492763, "reverse_unambiguous": true, "second_best_gap": 0.18670781325982733, "second_distance": 0.18670781419536434, "unambiguous": true }, { "best_distance": 7.750129091919118e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j5", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.750129091919118e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c0.7:j8", "reverse_second_best_gap": 0.1867081107993368, "reverse_second_distance": 0.18670811157434972, "reverse_unambiguous": true, "second_best_gap": 0.18670794469951602, "second_distance": 0.18670794547452893, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.35536997399342e-10, "max_resolution_difference": 8.892305931935162e-10, "omega_imag": -0.08725714515752671, "omega_real": 0.4079791094663796, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 5.823260601630319e-15, "reference_difference": 8.613303721579531e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 9.343656714276712e-13, "unfactored_residual": 4.5260841486520656e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0048", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 5.488892834982986e-05, "failure_reasons": [ "local:transformed_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.095877195554835e-09, "infinity_row_residual": 5.1884955735574e-13, "ingoing_phase_residual": 2.085165672404818e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.021613760678459437, "matching_checks": [ { "best_distance": 0.01976888949399124, "edge_kind": "resolution", "eigenfunction_mismatch": 0.02398782544227429, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j0", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.004987589685252127, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j1", "reverse_second_best_gap": 0.014781299808739115, "reverse_second_distance": 0.01976888949399124, "reverse_unambiguous": true, "second_best_gap": 0.3910890773752935, "second_distance": 0.4108579668692848, "unambiguous": true }, { "best_distance": 0.009115151841232356, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003485140624102878, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j0", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009115151841232356, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j0", "reverse_second_best_gap": 0.006526215906605067, "reverse_second_distance": 0.015641367747837424, "reverse_unambiguous": true, "second_best_gap": 0.01887646339796013, "second_distance": 0.027991615239192486, "unambiguous": true }, { "best_distance": 0.01188493521017967, "edge_kind": "map", "eigenfunction_mismatch": 0.006469469147831086, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j1", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.01188493521017967, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j0", "reverse_second_best_gap": 0.0009866534543106938, "reverse_second_distance": 0.012871588664490364, "reverse_unambiguous": true, "second_best_gap": 0.017078312708168744, "second_distance": 0.028963247918348416, "unambiguous": true }, { "best_distance": 0.019049173017515443, "edge_kind": "map", "eigenfunction_mismatch": 0.021613760678459437, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j0", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.005707305234624845, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j1", "reverse_second_best_gap": 0.013341867782890598, "reverse_second_distance": 0.019049173017515443, "reverse_unambiguous": true, "second_best_gap": 0.39180879370072036, "second_distance": 0.4108579667182358, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.019049173017515443, "max_resolution_difference": 0.01976888949399124, "omega_imag": -0.03855713188293432, "omega_real": 1.761844997495844e-05, "outgoing_phase_residual": 1.4540423947679858e-13, "pencil_residual": 3.248929362285402e-14, "reference_difference": 0.41085796668848806, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.02398782544227429, "transformed_residual": 0.0007907942103225235, "unfactored_residual": 7.074794353638689e-05 }, { "N": 28, "accepted": false, "branch_id": "branch-0049", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 0.0030592136045598066, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.15295344770694e-09, "infinity_row_residual": 9.527398383156233e-13, "ingoing_phase_residual": 1.817603373760203e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.005841689755386681, "matching_checks": [ { "best_distance": 0.004987589685252127, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004307818033083111, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j0", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004987589685252127, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j1", "reverse_second_best_gap": 0.014781299808739115, "reverse_second_distance": 0.01976888949399124, "reverse_unambiguous": true, "second_best_gap": 0.4094935876096242, "second_distance": 0.4144811772948763, "unambiguous": true }, { "best_distance": 0.0032351497936201298, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0031691089489293, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j1", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0032351497936201298, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j1", "reverse_second_best_gap": 0.024756465445572355, "reverse_second_distance": 0.027991615239192486, "reverse_unambiguous": true, "second_best_gap": 0.012406217954217294, "second_distance": 0.015641367747837424, "unambiguous": true }, { "best_distance": 0.004206788600701116, "edge_kind": "map", "eigenfunction_mismatch": 0.005841689755386681, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j0", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004206788600701116, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j1", "reverse_second_best_gap": 0.0247564593176473, "reverse_second_distance": 0.028963247918348416, "reverse_unambiguous": true, "second_best_gap": 0.008664800063789248, "second_distance": 0.012871588664490364, "unambiguous": true }, { "best_distance": 0.005707305234624845, "edge_kind": "map", "eigenfunction_mismatch": 0.0054247309591454185, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j0", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.005707305234624845, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j1", "reverse_second_best_gap": 0.013341867782890598, "reverse_second_distance": 0.019049173017515443, "reverse_unambiguous": true, "second_best_gap": 0.40877387191876674, "second_distance": 0.4144811771533916, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.005707305234624845, "max_resolution_difference": 0.004987589685252127, "omega_imag": -0.013800688558152193, "omega_real": 5.902436834015409e-05, "outgoing_phase_residual": 4.062780833597033e-13, "pencil_residual": 4.0075024391578213e-14, "reference_difference": 0.41448117709714755, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004307818033083111, "transformed_residual": 0.1310675395154042, "unfactored_residual": 0.008014480087177924 }, { "N": 28, "accepted": false, "branch_id": "branch-0050", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 5.122936212503749e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.4973448617464535e-12, "infinity_row_residual": 2.2390971325605e-13, "ingoing_phase_residual": 7.683187315774177e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.002019506496631629, "matching_checks": [ { "best_distance": 0.011582563183470927, "edge_kind": "resolution", "eigenfunction_mismatch": 2.2206658924273093e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j1", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011582563183470927, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j2", "reverse_second_best_gap": 0.2192390854131456, "reverse_second_distance": 0.23082164859661652, "reverse_unambiguous": true, "second_best_gap": 0.22111333035540148, "second_distance": 0.2326958935388724, "unambiguous": true }, { "best_distance": 0.03674267376476799, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00023029152247044937, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j4", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03674267376476799, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j2", "reverse_second_best_gap": 0.18107742213301897, "reverse_second_distance": 0.21782009589778698, "reverse_unambiguous": true, "second_best_gap": 0.1880579734750641, "second_distance": 0.22480064723983206, "unambiguous": true }, { "best_distance": 0.11144149880658198, "edge_kind": "map", "eigenfunction_mismatch": 0.002019506496631629, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j6", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.11144149880658198, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j2", "reverse_second_best_gap": 0.18527946970844122, "reverse_second_distance": 0.2967209685150232, "reverse_unambiguous": true, "second_best_gap": 0.0058768888555337795, "second_distance": 0.11731838766211576, "unambiguous": true }, { "best_distance": 0.0064967015335781544, "edge_kind": "map", "eigenfunction_mismatch": 6.957287143394275e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j1", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0064967015335781544, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j2", "reverse_second_best_gap": 0.23004910017715988, "reverse_second_distance": 0.23654580171073802, "reverse_unambiguous": true, "second_best_gap": 0.22582075654520214, "second_distance": 0.2323174580787803, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.11144149880658198, "max_resolution_difference": 0.03674267376476799, "omega_imag": -0.9231703448513354, "omega_real": 0.27537507756815377, "outgoing_phase_residual": 5.371689938816957e-15, "pencil_residual": 1.4632234504086203e-16, "reference_difference": 0.8463655872043576, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00023029152247044937, "transformed_residual": 2.7192960397932177e-14, "unfactored_residual": 3.3241141969280056e-16 }, { "N": 28, "accepted": false, "branch_id": "branch-0051", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 2.2113930056421404e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.4949030844397916e-12, "infinity_row_residual": 8.641456804672769e-13, "ingoing_phase_residual": 7.912940988372921e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.881545642148154e-05, "matching_checks": [ { "best_distance": 0.0005697705931446498, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0531739202956913e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j2", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005697705931446498, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j3", "reverse_second_best_gap": 0.22253520751956316, "reverse_second_distance": 0.2231049781127078, "reverse_unambiguous": true, "second_best_gap": 0.22222500120640995, "second_distance": 0.2227947717995546, "unambiguous": true }, { "best_distance": 0.0017007938282907044, "edge_kind": "resolution", "eigenfunction_mismatch": 9.374049363408687e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j3", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0017007938282907044, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j3", "reverse_second_best_gap": 0.22251796609198402, "reverse_second_distance": 0.2242187599202747, "reverse_unambiguous": true, "second_best_gap": 0.2067557772523716, "second_distance": 0.2084565710806623, "unambiguous": true }, { "best_distance": 0.010935724607672425, "edge_kind": "map", "eigenfunction_mismatch": 3.881545642148154e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j4", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.010935724607672425, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j3", "reverse_second_best_gap": 0.20776119704066778, "reverse_second_distance": 0.2186969216483402, "reverse_unambiguous": true, "second_best_gap": 0.10508793157593672, "second_distance": 0.11602365618360914, "unambiguous": true }, { "best_distance": 0.0012744313334563506, "edge_kind": "map", "eigenfunction_mismatch": 5.260595008493851e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j2", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0012744313334563506, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j3", "reverse_second_best_gap": 0.22225422787276525, "reverse_second_distance": 0.22352865920622159, "reverse_unambiguous": true, "second_best_gap": 0.22154489810721967, "second_distance": 0.222819329440676, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.010935724607672425, "max_resolution_difference": 0.0017007938282907044, "omega_imag": -0.6919424068081188, "omega_real": 0.30372999029689873, "outgoing_phase_residual": 7.126429839794514e-15, "pencil_residual": 4.084401019341723e-16, "reference_difference": 0.6136058546480933, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 9.374049363408687e-07, "transformed_residual": 9.156221820074512e-14, "unfactored_residual": 1.1490291198124357e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0052", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 3.0377217773866434e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.7097222540714702e-12, "infinity_row_residual": 2.564208529013077e-12, "ingoing_phase_residual": 3.487823610813564e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.2738880506013572e-08, "matching_checks": [ { "best_distance": 3.018816615059817e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.3264165321658083e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.0:j3", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.018816615059817e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j4", "reverse_second_best_gap": 0.2043897054565204, "reverse_second_distance": 0.20441989362267102, "reverse_unambiguous": true, "second_best_gap": 0.20437990704340997, "second_distance": 0.20441009520956058, "unambiguous": true }, { "best_distance": 3.5883469186214364e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8741211915696e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j5", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.5883469186214364e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j4", "reverse_second_best_gap": 0.20440994775207455, "reverse_second_distance": 0.20444583122126075, "reverse_unambiguous": true, "second_best_gap": 0.20437398790045552, "second_distance": 0.20440987136964173, "unambiguous": true }, { "best_distance": 9.356186152722825e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.2738880506013572e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j5", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.356186152722825e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j4", "reverse_second_best_gap": 0.20430549767133935, "reverse_second_distance": 0.20439905953286658, "reverse_unambiguous": true, "second_best_gap": 0.20431620651045185, "second_distance": 0.20440976837197908, "unambiguous": true }, { "best_distance": 3.0326906807472354e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.3387602137981958e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j3", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.0326906807472354e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j4", "reverse_second_best_gap": 0.20436501335232007, "reverse_second_distance": 0.20439534025912753, "reverse_unambiguous": true, "second_best_gap": 0.20437964588195923, "second_distance": 0.2044099727887667, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 9.356186152722825e-05, "max_resolution_difference": 3.5883469186214364e-05, "omega_imag": -0.4732779575489772, "omega_real": 0.34648238812492926, "outgoing_phase_residual": 9.514617798415927e-15, "pencil_residual": 8.518057147076556e-16, "reference_difference": 0.39088862169200317, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.8741211915696e-09, "transformed_residual": 2.6152678097384724e-13, "unfactored_residual": 3.5584437082086235e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 6.421272174403447e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.048468977182232e-11, "infinity_row_residual": 7.034872706221748e-12, "ingoing_phase_residual": 1.7544915031095047e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 6.783462680459706e-13, "matching_checks": [ { "best_distance": 1.262078753633935e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 5.828670879282072e-14, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j4", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.262078753633935e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j5", "reverse_second_best_gap": 0.18670768791796166, "reverse_second_distance": 0.18670781412583703, "reverse_unambiguous": true, "second_best_gap": 0.18670768802429968, "second_distance": 0.18670781423217506, "unambiguous": true }, { "best_distance": 2.386456883811994e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0883295093199195e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j6", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.386456883811994e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j5", "reverse_second_best_gap": 0.18670779725370532, "reverse_second_distance": 0.1867080358993937, "reverse_unambiguous": true, "second_best_gap": 0.1867075760554608, "second_distance": 0.18670781470114917, "unambiguous": true }, { "best_distance": 4.300485505087389e-07, "edge_kind": "map", "eigenfunction_mismatch": 6.783462680459706e-13, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j7", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.300485505087389e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j5", "reverse_second_best_gap": 0.1867076816963771, "reverse_second_distance": 0.18670811174492763, "reverse_unambiguous": true, "second_best_gap": 0.18670738414681382, "second_distance": 0.18670781419536434, "unambiguous": true }, { "best_distance": 2.8482035357378567e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.973177259946169e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j4", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.8482035357378567e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j5", "reverse_second_best_gap": 0.1867076607043141, "reverse_second_distance": 0.18670794552466768, "reverse_unambiguous": true, "second_best_gap": 0.1867075292545701, "second_distance": 0.18670781407492368, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.300485505087389e-07, "max_resolution_difference": 2.386456883811994e-07, "omega_imag": -0.27257374303479176, "omega_real": 0.38522902303123097, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 5.389139763454467e-15, "reference_difference": 0.1867078145223756, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.0883295093199195e-13, "transformed_residual": 5.947504403802087e-13, "unfactored_residual": 1.335306852758989e-14 }, { "N": 28, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.0:j6", "case": "kerr-radial", "coefficient_tail": 2.241558210949523e-14, "failure_reasons": [], "horizon_row_residual": 1.4426339670722828e-10, "infinity_row_residual": 6.072795024179508e-12, "ingoing_phase_residual": 1.1289794406985823e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.1939796040854736e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.0:j5", "peer_configuration": [ "kerr-radial", 24, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.1939796040854736e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j6", "reverse_second_best_gap": 0.1867078139127771, "reverse_second_distance": 0.18670781423217506, "reverse_unambiguous": true, "second_best_gap": 0.18670781380643908, "second_distance": 0.18670781412583703, "unambiguous": true }, { "best_distance": 7.840603241176681e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j7", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.840603241176681e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j6", "reverse_second_best_gap": 0.18670781391708885, "reverse_second_distance": 0.18670781470114917, "reverse_unambiguous": true, "second_best_gap": 0.18670803511533338, "second_distance": 0.1867080358993937, "unambiguous": true }, { "best_distance": 9.35536997399342e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j8", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.35536997399342e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j6", "reverse_second_best_gap": 0.18670781325982733, "reverse_second_distance": 0.18670781419536434, "reverse_unambiguous": true, "second_best_gap": 0.18670811080939062, "second_distance": 0.18670811174492763, "unambiguous": true }, { "best_distance": 2.3983599056248116e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j5", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.3983599056248116e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.0:j6", "reverse_second_best_gap": 0.1867078138350877, "reverse_second_distance": 0.18670781407492368, "reverse_unambiguous": true, "second_best_gap": 0.1867079452848317, "second_distance": 0.18670794552466768, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 9.35536997399342e-10, "max_resolution_difference": 7.840603241176681e-10, "omega_imag": -0.08725714499393271, "omega_real": 0.4079791085452572, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.9798023515425595e-14, "reference_difference": 3.090709055360181e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 1.784302544118817e-12, "unfactored_residual": 8.645023093661067e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0053", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 0.002920505055807293, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.77376872878375e-10, "infinity_row_residual": 5.695364201446771e-13, "ingoing_phase_residual": 1.8508921378310248e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.0054247309591453075, "matching_checks": [ { "best_distance": 0.007154634026588912, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004537742848149895, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j0", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007154634026588912, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j0", "reverse_second_best_gap": 0.4052853389126475, "reverse_second_distance": 0.4124399729392364, "reverse_unambiguous": true, "second_best_gap": 0.4063610336327154, "second_distance": 0.4135156676593043, "unambiguous": true }, { "best_distance": 0.004609085059126212, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0033046498766073906, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004609085059126212, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j0", "reverse_second_best_gap": 0.40967910641339567, "reverse_second_distance": 0.4142881914725219, "reverse_unambiguous": true, "second_best_gap": 0.4089065790074255, "second_distance": 0.4135156640665517, "unambiguous": true }, { "best_distance": 0.007164296001990475, "edge_kind": "map", "eigenfunction_mismatch": 0.0045481374462099655, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j1", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.007164296001990475, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j0", "reverse_second_best_gap": 0.4052280522729349, "reverse_second_distance": 0.4123923482749254, "reverse_unambiguous": true, "second_best_gap": 0.0027497874067034184, "second_distance": 0.009914083408693894, "unambiguous": true }, { "best_distance": 0.005707305234624845, "edge_kind": "map", "eigenfunction_mismatch": 0.0054247309591453075, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j1", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005707305234624845, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j0", "reverse_second_best_gap": 0.40877387191876674, "reverse_second_distance": 0.4144811771533916, "reverse_unambiguous": true, "second_best_gap": 0.013341867782890598, "second_distance": 0.019049173017515443, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.007164296001990475, "max_resolution_difference": 0.007154634026588912, "omega_imag": -0.019507988298098806, "omega_real": 5.11047988145877e-05, "outgoing_phase_residual": 2.874106797283453e-13, "pencil_residual": 5.6409618352805084e-15, "reference_difference": 0.41351566424663416, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004537742848149895, "transformed_residual": 0.08402412024505308, "unfactored_residual": 0.006119711530810394 }, { "N": 28, "accepted": false, "branch_id": "branch-0054", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 1.8745666417830017e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.506708278530529e-11, "infinity_row_residual": 7.064419556088259e-12, "ingoing_phase_residual": 7.737610724474059e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0021420611995248695, "matching_checks": [ { "best_distance": 0.0006353900700589121, "edge_kind": "resolution", "eigenfunction_mismatch": 6.616859882235815e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j1", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0006353900700589121, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j1", "reverse_second_best_gap": 0.23553801250468084, "reverse_second_distance": 0.23617340257473976, "reverse_unambiguous": true, "second_best_gap": 0.2342336357941407, "second_distance": 0.2348690258641996, "unambiguous": true }, { "best_distance": 0.024514679128858557, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010063312422692317, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j2", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.024514679128858557, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j1", "reverse_second_best_gap": 0.1975129299569178, "reverse_second_distance": 0.22202760908577635, "reverse_unambiguous": true, "second_best_gap": 0.2121319545500881, "second_distance": 0.23664663367894664, "unambiguous": true }, { "best_distance": 0.11509776229290558, "edge_kind": "map", "eigenfunction_mismatch": 0.0021420611995248695, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j6", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.11509776229290558, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j1", "reverse_second_best_gap": 0.1813959634952872, "reverse_second_distance": 0.2964937257881928, "reverse_unambiguous": true, "second_best_gap": 0.005559592517088319, "second_distance": 0.1206573548099939, "unambiguous": true }, { "best_distance": 0.0064967015335781544, "edge_kind": "map", "eigenfunction_mismatch": 6.957287143505297e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j2", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0064967015335781544, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j1", "reverse_second_best_gap": 0.22582075654520214, "reverse_second_distance": 0.2323174580787803, "reverse_unambiguous": true, "second_best_gap": 0.23004910017715988, "second_distance": 0.23654580171073802, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.11509776229290558, "max_resolution_difference": 0.024514679128858557, "omega_imag": -0.9260025605208037, "omega_real": 0.26952822497739903, "outgoing_phase_residual": 5.477350299340604e-15, "pencil_residual": 3.370558839535722e-15, "reference_difference": 0.850095594452808, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00010063312422692317, "transformed_residual": 5.143574008381517e-14, "unfactored_residual": 5.972006607383579e-16 }, { "N": 28, "accepted": false, "branch_id": "branch-0055", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 9.711753417679256e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0068077715071472e-11, "infinity_row_residual": 1.2917550254773328e-11, "ingoing_phase_residual": 7.962290854820666e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 3.4432217751567684e-05, "matching_checks": [ { "best_distance": 0.001151828833249171, "edge_kind": "resolution", "eigenfunction_mismatch": 4.2778738718052267e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j2", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.001151828833249171, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j2", "reverse_second_best_gap": 0.22336848989859862, "reverse_second_distance": 0.22452031873184777, "reverse_unambiguous": true, "second_best_gap": 0.22234637960637868, "second_distance": 0.22349820843962784, "unambiguous": true }, { "best_distance": 0.0012588164497683212, "edge_kind": "resolution", "eigenfunction_mismatch": 5.133130147605414e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j3", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0012588164497683212, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j2", "reverse_second_best_gap": 0.2214640879722146, "reverse_second_distance": 0.22272290442198292, "reverse_unambiguous": true, "second_best_gap": 0.22076879263600802, "second_distance": 0.22202760908577635, "unambiguous": true }, { "best_distance": 0.010314265494503719, "edge_kind": "map", "eigenfunction_mismatch": 3.4432217751567684e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j4", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.010314265494503719, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j2", "reverse_second_best_gap": 0.20839610938796532, "reverse_second_distance": 0.21871037488246903, "reverse_unambiguous": true, "second_best_gap": 0.10500697524374447, "second_distance": 0.11532124073824819, "unambiguous": true }, { "best_distance": 0.0012744313334563506, "edge_kind": "map", "eigenfunction_mismatch": 5.260595008493851e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0012744313334563506, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j2", "reverse_second_best_gap": 0.22154489810721967, "reverse_second_distance": 0.222819329440676, "reverse_unambiguous": true, "second_best_gap": 0.22225422787276525, "second_distance": 0.22352865920622159, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.010314265494503719, "max_resolution_difference": 0.0012588164497683212, "omega_imag": -0.6924489743384721, "omega_real": 0.3025605611366299, "outgoing_phase_residual": 7.180705899498363e-15, "pencil_residual": 4.2543418940919675e-15, "reference_difference": 0.6143046644714334, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.133130147605414e-07, "transformed_residual": 2.0696254619681592e-13, "unfactored_residual": 2.587560464004744e-15 }, { "N": 28, "accepted": false, "branch_id": "branch-0056", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 3.877200350508605e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.496040432138513e-12, "infinity_row_residual": 3.0945828838063107e-11, "ingoing_phase_residual": 3.4876652285162223e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 6.437205990472705e-09, "matching_checks": [ { "best_distance": 9.120145135365718e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.2101350588267223e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N24:c1.4:j3", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 9.120145135365718e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j3", "reverse_second_best_gap": 0.20434852506382764, "reverse_second_distance": 0.2044397265151813, "reverse_unambiguous": true, "second_best_gap": 0.20430541038641806, "second_distance": 0.20439661183777172, "unambiguous": true }, { "best_distance": 4.3240159211599626e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.7217806897184005e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j4", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.3240159211599626e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j3", "reverse_second_best_gap": 0.20436217387548672, "reverse_second_distance": 0.2044054140346983, "reverse_unambiguous": true, "second_best_gap": 0.20435212525985205, "second_distance": 0.20439536541906364, "unambiguous": true }, { "best_distance": 6.651082466358651e-05, "edge_kind": "map", "eigenfunction_mismatch": 6.437205990472705e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j5", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 6.651082466358651e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j3", "reverse_second_best_gap": 0.20433243517101682, "reverse_second_distance": 0.2043989459956804, "reverse_unambiguous": true, "second_best_gap": 0.20432851132424898, "second_distance": 0.20439502214891256, "unambiguous": true }, { "best_distance": 3.0326906807472354e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.3387602137981958e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j4", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.0326906807472354e-05, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j3", "reverse_second_best_gap": 0.20437964588195923, "reverse_second_distance": 0.2044099727887667, "reverse_unambiguous": true, "second_best_gap": 0.20436501335232007, "second_distance": 0.20439534025912753, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 6.651082466358651e-05, "max_resolution_difference": 9.120145135365718e-05, "omega_imag": -0.47325845395806154, "omega_real": 0.3464591646192098, "outgoing_phase_residual": 9.481363131331599e-15, "pencil_residual": 6.173277966068844e-15, "reference_difference": 0.3908730154958818, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.2101350588267223e-08, "transformed_residual": 1.427940805740514e-12, "unfactored_residual": 1.9442401268167535e-14 }, { "N": 28, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 6.453069555354824e-13, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.88281465751267e-12, "infinity_row_residual": 7.162400290999961e-11, "ingoing_phase_residual": 1.75449272661881e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.2652101588628284e-12, "matching_checks": [ { "best_distance": 1.4097526944852372e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 7.28983540199124e-12, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j4", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.4097526944852372e-06, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j4", "reverse_second_best_gap": 0.186705135688221, "reverse_second_distance": 0.1867065454409155, "reverse_unambiguous": true, "second_best_gap": 0.1867065364461644, "second_distance": 0.1867079461988589, "unambiguous": true }, { "best_distance": 3.48657752753521e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 4.4575454438700035e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j5", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.48657752753521e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j4", "reverse_second_best_gap": 0.18670743628993858, "reverse_second_distance": 0.18670778494769133, "reverse_unambiguous": true, "second_best_gap": 0.1867075964208574, "second_distance": 0.18670794507861016, "unambiguous": true }, { "best_distance": 5.873155553631927e-07, "edge_kind": "map", "eigenfunction_mismatch": 1.2652101588628284e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j7", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.873155553631927e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j4", "reverse_second_best_gap": 0.18670752425879436, "reverse_second_distance": 0.18670811157434972, "reverse_unambiguous": true, "second_best_gap": 0.18670735815897357, "second_distance": 0.18670794547452893, "unambiguous": true }, { "best_distance": 2.8482035357378567e-07, "edge_kind": "map", "eigenfunction_mismatch": 2.973177259946169e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j5", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.8482035357378567e-07, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j4", "reverse_second_best_gap": 0.1867075292545701, "reverse_second_distance": 0.18670781407492368, "reverse_unambiguous": true, "second_best_gap": 0.1867076607043141, "second_distance": 0.18670794552466768, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 5.873155553631927e-07, "max_resolution_difference": 1.4097526944852372e-06, "omega_imag": -0.2725739041342418, "omega_real": 0.3852292579133312, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 5.923036759805094e-15, "reference_difference": 0.1867079458015412, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 7.28983540199124e-12, "transformed_residual": 2.973229495754064e-12, "unfactored_residual": 6.673462310028317e-14 }, { "N": 28, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N28:c1.4:j5", "case": "kerr-radial", "coefficient_tail": 3.2886108306203177e-13, "failure_reasons": [], "horizon_row_residual": 8.353307678386852e-12, "infinity_row_residual": 2.383098172781202e-11, "ingoing_phase_residual": 1.1289794422585959e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.5047042127753577e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N24:c1.4:j5", "peer_configuration": [ "kerr-radial", 24, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.5047042127753577e-09, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j5", "reverse_second_best_gap": 0.18670794269415467, "reverse_second_distance": 0.1867079461988589, "reverse_unambiguous": true, "second_best_gap": 0.18670654193621128, "second_distance": 0.1867065454409155, "unambiguous": true }, { "best_distance": 3.667952719608155e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j6", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.667952719608155e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j5", "reverse_second_best_gap": 0.1867079447118149, "reverse_second_distance": 0.18670794507861016, "reverse_unambiguous": true, "second_best_gap": 0.18670778458089607, "second_distance": 0.18670778494769133, "unambiguous": true }, { "best_distance": 7.750129091919118e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j8", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 7.750129091919118e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j5", "reverse_second_best_gap": 0.18670794469951602, "reverse_second_distance": 0.18670794547452893, "reverse_unambiguous": true, "second_best_gap": 0.1867081107993368, "second_distance": 0.18670811157434972, "unambiguous": true }, { "best_distance": 2.3983599056248116e-10, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j6", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.3983599056248116e-10, "reverse_nearest_candidate_id": "kerr-radial:N28:c1.4:j5", "reverse_second_best_gap": 0.1867079452848317, "reverse_second_distance": 0.18670794552466768, "reverse_unambiguous": true, "second_best_gap": 0.1867078138350877, "second_distance": 0.18670781407492368, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 7.750129091919118e-10, "max_resolution_difference": 3.5047042127753577e-09, "omega_imag": -0.08725714518378296, "omega_real": 0.4079791086918116, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 2.1198753776896103e-15, "reference_difference": 4.485412792813952e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.3305596462132899e-12, "unfactored_residual": 6.445718270650456e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0057", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 1.966897803850499e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.700205964953455e-09, "infinity_row_residual": 9.16684858668894e-13, "ingoing_phase_residual": 2.1480902443273194e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.04898380715293127, "matching_checks": [ { "best_distance": 0.0154744516896551, "edge_kind": "resolution", "eigenfunction_mismatch": 0.009974912374292488, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j1", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.006242439480001826, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.009232012209653275, "reverse_second_distance": 0.0154744516896551, "reverse_unambiguous": true, "second_best_gap": 0.017078356515660722, "second_distance": 0.03255280820531582, "unambiguous": true }, { "best_distance": 0.008880352277854407, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0027009717413737366, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j1", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008880352277854407, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j0", "reverse_second_best_gap": 0.0039561967242257474, "reverse_second_distance": 0.012836549002080155, "reverse_unambiguous": true, "second_best_gap": 0.017118337797130304, "second_distance": 0.02599869007498471, "unambiguous": true }, { "best_distance": 0.012704666273936576, "edge_kind": "map", "eigenfunction_mismatch": 0.006169585249657272, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j0", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.009012223621442035, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.0036924426524945417, "reverse_second_distance": 0.012704666273936576, "reverse_unambiguous": true, "second_best_gap": 0.018876506855621665, "second_distance": 0.03158117312955824, "unambiguous": true }, { "best_distance": 0.02724780859834505, "edge_kind": "map", "eigenfunction_mismatch": 0.04898380715293127, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.005530935159833213, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.0020107162350745337, "reverse_second_distance": 0.007541651394907747, "reverse_unambiguous": true, "second_best_gap": 0.3831809793452906, "second_distance": 0.41042878794363563, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02724780859834505, "max_resolution_difference": 0.0154744516896551, "omega_imag": -0.04214670945316011, "omega_real": 3.690842004309951e-05, "outgoing_phase_residual": 1.3301640614142943e-13, "pencil_residual": 2.773463957674849e-14, "reference_difference": 0.41042878816324385, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.009974912374292488, "transformed_residual": 4.0028591699092944e-05, "unfactored_residual": 3.5857723253593075e-06 }, { "N": 32, "accepted": false, "branch_id": "branch-0058", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 0.00278385124493054, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.101248241059143e-09, "infinity_row_residual": 8.525686274399244e-13, "ingoing_phase_residual": 1.8018354313349817e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.0216269918546943, "matching_checks": [ { "best_distance": 0.002236646944218098, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0030658270101020513, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j0", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002236646944218098, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j1", "reverse_second_best_gap": 0.00859929651337018, "reverse_second_distance": 0.010835943457588279, "reverse_unambiguous": true, "second_best_gap": 0.01707836602911434, "second_distance": 0.01931501297333244, "unambiguous": true }, { "best_distance": 0.0015375703213495685, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0023659821662823655, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j0", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0015375703213495685, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j1", "reverse_second_best_gap": 0.013072580736586351, "reverse_second_distance": 0.01461015105793592, "reverse_unambiguous": true, "second_best_gap": 0.00725320975975656, "second_distance": 0.008790780081106129, "unambiguous": true }, { "best_distance": 0.003208285906089477, "edge_kind": "map", "eigenfunction_mismatch": 0.0057010263618356705, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j1", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.003208285906089477, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j1", "reverse_second_best_gap": 0.006656018957795822, "reverse_second_distance": 0.0098643048638853, "reverse_unambiguous": true, "second_best_gap": 0.01887650099709912, "second_distance": 0.022084786903188595, "unambiguous": true }, { "best_distance": 0.007541651394907747, "edge_kind": "map", "eigenfunction_mismatch": 0.0216269918546943, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.005530935159833213, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.0020107162350745337, "reverse_second_distance": 0.007541651394907747, "reverse_unambiguous": true, "second_best_gap": 0.40814369899345476, "second_distance": 0.4156853503883625, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.007541651394907747, "max_resolution_difference": 0.002236646944218098, "omega_imag": -0.0073572710260697725, "omega_real": 4.489730277168987e-05, "outgoing_phase_residual": 7.620885809942829e-13, "pencil_residual": 5.268748012805827e-14, "reference_difference": 0.41568535054728645, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0030658270101020513, "transformed_residual": 0.5127488704174801, "unfactored_residual": 0.01567287875852273 }, { "N": 32, "accepted": false, "branch_id": "branch-0059", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 5.480171681984774e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.609700501760565e-09, "infinity_row_residual": 5.747564226595909e-13, "ingoing_phase_residual": 1.8574002567188285e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.006235240207229653, "matching_checks": [ { "best_distance": 0.006242439480001826, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0033134415119052685, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j1", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006242439480001826, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.009232012209653275, "reverse_second_distance": 0.0154744516896551, "reverse_unambiguous": true, "second_best_gap": 0.004593503977586452, "second_distance": 0.010835943457588279, "unambiguous": true }, { "best_distance": 0.004281808447322395, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002529310838515486, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j2", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004281808447322395, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.0045089716337837335, "reverse_second_distance": 0.008790780081106129, "reverse_unambiguous": true, "second_best_gap": 0.008554740554757759, "second_distance": 0.012836549002080155, "unambiguous": true }, { "best_distance": 0.009012223621442035, "edge_kind": "map", "eigenfunction_mismatch": 0.006235240207229653, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j0", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009012223621442035, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.0036924426524945417, "reverse_second_distance": 0.012704666273936576, "reverse_unambiguous": true, "second_best_gap": 0.0008520812424432644, "second_distance": 0.0098643048638853, "unambiguous": true }, { "best_distance": 0.005530935159833213, "edge_kind": "map", "eigenfunction_mismatch": 0.004537121618815809, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.005530935159833213, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j2", "reverse_second_best_gap": 0.0020107162350745337, "reverse_second_distance": 0.007541651394907747, "reverse_unambiguous": true, "second_best_gap": 0.40781962587046555, "second_distance": 0.41335056103029877, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009012223621442035, "max_resolution_difference": 0.006242439480001826, "omega_imag": -0.020429839585633994, "omega_real": 6.6375718887082e-05, "outgoing_phase_residual": 2.7444603262095557e-13, "pencil_residual": 3.460961186395945e-14, "reference_difference": 0.413350561211985, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0033134415119052685, "transformed_residual": 0.0021928173484900065, "unfactored_residual": 0.0001666199337227554 }, { "N": 32, "accepted": false, "branch_id": "branch-0060", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 7.164009896361098e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.604780535686947e-12, "infinity_row_residual": 1.0638666136596834e-12, "ingoing_phase_residual": 5.449640523877227e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.04405233474554271, "matching_checks": [ { "best_distance": 0.07485251094609312, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015445871282645518, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j2", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07485251094609312, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j3", "reverse_second_best_gap": 0.21512394628647297, "reverse_second_distance": 0.2899764572325661, "reverse_unambiguous": true, "second_best_gap": 0.2102671256199698, "second_distance": 0.28511963656606293, "unambiguous": true }, { "best_distance": 0.06491691661730359, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001221866016655082, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j3", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06491691661730359, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j3", "reverse_second_best_gap": 0.1804490115620591, "reverse_second_distance": 0.24536592817936267, "reverse_unambiguous": true, "second_best_gap": 0.16480793346661773, "second_distance": 0.22972485008392132, "unambiguous": true }, { "best_distance": 0.2575829320440874, "edge_kind": "map", "eigenfunction_mismatch": 0.015235692836092274, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j2", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.21616664123044918, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.031333663049507465, "reverse_second_distance": 0.24750030427995665, "reverse_unambiguous": true, "second_best_gap": 0.027605415222819563, "second_distance": 0.28518834726690695, "unambiguous": true }, { "best_distance": 0.28521952096626885, "edge_kind": "map", "eigenfunction_mismatch": 0.04405233474554271, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j4", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0005668798808585501, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j5", "reverse_second_best_gap": 0.1759277085601533, "reverse_second_distance": 0.17649458844101185, "reverse_unambiguous": true, "second_best_gap": 0.0020376051842367904, "second_distance": 0.28725712615050564, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.28521952096626885, "max_resolution_difference": 0.07485251094609312, "omega_imag": -0.5168403706844804, "omega_real": 0.06462554824163017, "outgoing_phase_residual": 1.0615999715651534e-14, "pencil_residual": 6.429787657940156e-16, "reference_difference": 0.549939465310853, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015445871282645518, "transformed_residual": 5.158414026771712e-13, "unfactored_residual": 7.904171195629964e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0061", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 3.4164118523523974e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.61353510640031e-12, "infinity_row_residual": 7.533497523758499e-13, "ingoing_phase_residual": 7.535622651035762e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0013112694228074595, "matching_checks": [ { "best_distance": 0.050614858769111835, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009010329227955305, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j4", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.050614858769111835, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.038878644978306, "reverse_second_distance": 0.08949350374741784, "reverse_unambiguous": true, "second_best_gap": 0.11840939498509961, "second_distance": 0.16902425375421146, "unambiguous": true }, { "best_distance": 0.05436589834238905, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0013043519120644609, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j4", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05436589834238905, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.07129587293347722, "reverse_second_distance": 0.12566177127586628, "reverse_unambiguous": true, "second_best_gap": 0.06486833428507846, "second_distance": 0.11923423262746752, "unambiguous": true }, { "best_distance": 0.061149530095290554, "edge_kind": "map", "eigenfunction_mismatch": 0.0013112694228074595, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j3", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.061149530095290554, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.016051309646293775, "reverse_second_distance": 0.07720083974158433, "reverse_unambiguous": true, "second_best_gap": 0.11530194573829958, "second_distance": 0.17645147583359014, "unambiguous": true }, { "best_distance": 0.05931652913950446, "edge_kind": "map", "eigenfunction_mismatch": 0.001237238121105655, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j3", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05931652913950446, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.019613593067872977, "reverse_second_distance": 0.07893012220737744, "reverse_unambiguous": true, "second_best_gap": 0.11717805930150738, "second_distance": 0.17649458844101185, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.061149530095290554, "max_resolution_difference": 0.05436589834238905, "omega_imag": -0.6370905578816776, "omega_real": 0.2808077864267832, "outgoing_phase_residual": 7.924885179893146e-15, "pencil_residual": 5.2875603536467675e-16, "reference_difference": 0.5643485868009211, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0013043519120644609, "transformed_residual": 2.92051659599097e-13, "unfactored_residual": 3.763064756530211e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0062", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 3.9227469630391247e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.361880837381338e-12, "infinity_row_residual": 3.3722453916965914e-12, "ingoing_phase_residual": 3.4883254639843975e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 4.6688969401742497e-07, "matching_checks": [ { "best_distance": 0.00045835443823336936, "edge_kind": "resolution", "eigenfunction_mismatch": 3.0511907689323436e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j5", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00045835443823336936, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j5", "reverse_second_best_gap": 0.17602208885897938, "reverse_second_distance": 0.17648044329721274, "reverse_unambiguous": true, "second_best_gap": 0.20393548167548142, "second_distance": 0.20439383611371478, "unambiguous": true }, { "best_distance": 0.0013014054461762644, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4401256419892547e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j5", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0013014054461762644, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j5", "reverse_second_best_gap": 0.1743147731485619, "reverse_second_distance": 0.17561617859473816, "reverse_unambiguous": true, "second_best_gap": 0.12436036582969001, "second_distance": 0.12566177127586628, "unambiguous": true }, { "best_distance": 0.0005505761061084092, "edge_kind": "map", "eigenfunction_mismatch": 4.403280760012507e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j5", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0005505761061084092, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j5", "reverse_second_best_gap": 0.17590089972748174, "reverse_second_distance": 0.17645147583359014, "reverse_unambiguous": true, "second_best_gap": 0.20384336406435855, "second_distance": 0.20439394017046694, "unambiguous": true }, { "best_distance": 0.0005668798808585501, "edge_kind": "map", "eigenfunction_mismatch": 4.6688969401742497e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j4", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0005668798808585501, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j5", "reverse_second_best_gap": 0.1759277085601533, "reverse_second_distance": 0.17649458844101185, "reverse_unambiguous": true, "second_best_gap": 0.2038273000941917, "second_distance": 0.20439417997505024, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005668798808585501, "max_resolution_difference": 0.0013014054461762644, "omega_imag": -0.47315709806989154, "omega_real": 0.3459443152296648, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 1.2024972841006832e-15, "reference_difference": 0.3908543073653114, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4401256419892547e-06, "transformed_residual": 6.009647788214612e-13, "unfactored_residual": 8.208080696316765e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0063", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j6", "case": "kerr-radial", "coefficient_tail": 2.677678463298087e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.898672254637691e-12, "infinity_row_residual": 3.9625933872022786e-13, "ingoing_phase_residual": 6.86491200179644e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0019212792649119237, "matching_checks": [ { "best_distance": 0.08949350374741784, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0024631139583334294, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j4", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.050614858769111835, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.038878644978306, "reverse_second_distance": 0.08949350374741784, "reverse_unambiguous": true, "second_best_gap": 0.0036429635431221713, "second_distance": 0.09313646729054001, "unambiguous": true }, { "best_distance": 0.05339535296964764, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009869996589484398, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j6", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05339535296964764, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j6", "reverse_second_best_gap": 0.06583887965781987, "reverse_second_distance": 0.11923423262746752, "reverse_unambiguous": true, "second_best_gap": 0.09433137470967187, "second_distance": 0.14772672767931952, "unambiguous": true }, { "best_distance": 0.07720083974158433, "edge_kind": "map", "eigenfunction_mismatch": 0.0018341906827803456, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j3", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.061149530095290554, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.016051309646293775, "reverse_second_distance": 0.07720083974158433, "reverse_unambiguous": true, "second_best_gap": 0.08962345117218849, "second_distance": 0.16682429091377282, "unambiguous": true }, { "best_distance": 0.07893012220737744, "edge_kind": "map", "eigenfunction_mismatch": 0.0019212792649119237, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j3", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.05931652913950446, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j4", "reverse_second_best_gap": 0.019613593067872977, "reverse_second_distance": 0.07893012220737744, "reverse_unambiguous": true, "second_best_gap": 0.09826720833627828, "second_distance": 0.17719733054365572, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07893012220737744, "max_resolution_difference": 0.08949350374741784, "omega_imag": -0.7498122789674563, "omega_real": 0.35721023729400353, "outgoing_phase_residual": 6.504997463037233e-15, "pencil_residual": 3.914420216061026e-16, "reference_difference": 0.6644973921709891, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0024631139583334294, "transformed_residual": 1.8932917526681898e-13, "unfactored_residual": 2.2851668187389954e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j7", "case": "kerr-radial", "coefficient_tail": 3.96909359576638e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.4436293715022716e-11, "infinity_row_residual": 2.5635148586819464e-11, "ingoing_phase_residual": 1.7544924734834761e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 7.897238418763664e-12, "matching_checks": [ { "best_distance": 1.0680146993626496e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 4.183986490602365e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j7", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.0680146993626496e-06, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j7", "reverse_second_best_gap": 0.18670704319107878, "reverse_second_distance": 0.18670811120577815, "reverse_unambiguous": true, "second_best_gap": 0.18670746307508854, "second_distance": 0.1867085310897879, "unambiguous": true }, { "best_distance": 9.377323164048605e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 3.2255309534434673e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j7", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.377323164048605e-07, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j7", "reverse_second_best_gap": 0.18670834824630322, "reverse_second_distance": 0.18670928597861963, "reverse_unambiguous": true, "second_best_gap": 0.1867075940213817, "second_distance": 0.18670853175369811, "unambiguous": true }, { "best_distance": 1.4673058379722164e-06, "edge_kind": "map", "eigenfunction_mismatch": 7.897238418763664e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j6", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4673058379722164e-06, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j7", "reverse_second_best_gap": 0.18670656805440272, "reverse_second_distance": 0.1867080353602407, "reverse_unambiguous": true, "second_best_gap": 0.18670706428973272, "second_distance": 0.1867085315955707, "unambiguous": true }, { "best_distance": 1.4436555095378277e-06, "edge_kind": "map", "eigenfunction_mismatch": 7.64466268066144e-12, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j5", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.4436555095378277e-06, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j7", "reverse_second_best_gap": 0.18670634092360813, "reverse_second_distance": 0.18670778457911766, "reverse_unambiguous": true, "second_best_gap": 0.1867070870383513, "second_distance": 0.1867085306938608, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4673058379722164e-06, "max_resolution_difference": 1.0680146993626496e-06, "omega_imag": -0.272574297061137, "omega_real": 0.38522765254510705, "outgoing_phase_residual": 1.191939596361987e-14, "pencil_residual": 4.234856692495666e-15, "reference_difference": 0.1867085314167936, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.183986490602365e-12, "transformed_residual": 1.1446107205359105e-12, "unfactored_residual": 2.5677419766334536e-14 }, { "N": 32, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j8", "case": "kerr-radial", "coefficient_tail": 2.7190798185142518e-14, "failure_reasons": [], "horizon_row_residual": 7.029256420612903e-11, "infinity_row_residual": 4.7824552732628634e-11, "ingoing_phase_residual": 1.1289794471128674e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 8.892305931935162e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N28:c0.7:j8", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 8.892305931935162e-10, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j8", "reverse_second_best_gap": 0.1867085302005573, "reverse_second_distance": 0.1867085310897879, "reverse_unambiguous": true, "second_best_gap": 0.18670811031654755, "second_distance": 0.18670811120577815, "unambiguous": true }, { "best_distance": 3.5602474560239155e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j8", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.5602474560239155e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j8", "reverse_second_best_gap": 0.18670852819345066, "reverse_second_distance": 0.18670853175369811, "reverse_unambiguous": true, "second_best_gap": 0.18670928241837217, "second_distance": 0.18670928597861963, "unambiguous": true }, { "best_distance": 1.4383195799857649e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j7", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.4383195799857649e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j8", "reverse_second_best_gap": 0.1867085301572511, "reverse_second_distance": 0.1867085315955707, "reverse_unambiguous": true, "second_best_gap": 0.18670803392192112, "second_distance": 0.1867080353602407, "unambiguous": true }, { "best_distance": 1.7529430981602263e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j6", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.7529430981602263e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j8", "reverse_second_best_gap": 0.18670852894091772, "reverse_second_distance": 0.1867085306938608, "reverse_unambiguous": true, "second_best_gap": 0.18670778282617456, "second_distance": 0.18670778457911766, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.7529430981602263e-09, "max_resolution_difference": 3.5602474560239155e-09, "omega_imag": -0.08725714573339396, "omega_real": 0.40797911014395466, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 9.472986089719953e-15, "reference_difference": 1.742430863010206e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.3181915071988284e-12, "unfactored_residual": 6.385645798981631e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0064", "branch_unique": true, "candidate_id": "kerr-radial:N32:c0.7:j9", "case": "kerr-radial", "coefficient_tail": 1.797131351465318e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.8182689168587154e-12, "infinity_row_residual": 5.711080822864623e-13, "ingoing_phase_residual": 5.552567060578325e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0036168719181796094, "matching_checks": [ { "best_distance": 0.07419961533965092, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009608770187730098, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N28:c0.7:j6", "peer_configuration": [ "kerr-radial", 28, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07419961533965092, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j9", "reverse_second_best_gap": 0.15740177730153415, "reverse_second_distance": 0.23160139264118507, "reverse_unambiguous": true, "second_best_gap": 0.12443195116731198, "second_distance": 0.1986315665069629, "unambiguous": true }, { "best_distance": 0.08415602542205282, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015770241037101895, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j9", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.08415602542205282, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j9", "reverse_second_best_gap": 0.0635707022572667, "reverse_second_distance": 0.14772672767931952, "reverse_unambiguous": true, "second_best_gap": 0.15749974237744474, "second_distance": 0.24165576779949757, "unambiguous": true }, { "best_distance": 0.12503406221365002, "edge_kind": "map", "eigenfunction_mismatch": 0.0028379781497214207, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j4", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.12503406221365002, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j9", "reverse_second_best_gap": 0.041790228700122806, "reverse_second_distance": 0.16682429091377282, "reverse_unambiguous": true, "second_best_gap": 0.15066940675874144, "second_distance": 0.27570346897239145, "unambiguous": true }, { "best_distance": 0.14232840337419442, "edge_kind": "map", "eigenfunction_mismatch": 0.0036168719181796094, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j2", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.14232840337419442, "reverse_nearest_candidate_id": "kerr-radial:N32:c0.7:j9", "reverse_second_best_gap": 0.0348689271694613, "reverse_second_distance": 0.17719733054365572, "reverse_unambiguous": true, "second_best_gap": 0.13520420144567155, "second_distance": 0.27753260481986597, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14232840337419442, "max_resolution_difference": 0.08415602542205282, "omega_imag": -0.9382811801348699, "omega_real": 0.4312734176564871, "outgoing_phase_residual": 5.263909126864562e-15, "pencil_residual": 3.4350898604581373e-16, "reference_difference": 0.851342782700285, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015770241037101895, "transformed_residual": 8.864048292887174e-14, "unfactored_residual": 1.0072587273261492e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0065", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 5.05793947881842e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.361065134703369e-09, "infinity_row_residual": 1.1215038242244653e-12, "ingoing_phase_residual": 1.949684926957423e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.02116378047772549, "matching_checks": [ { "best_distance": 0.009115151841232356, "edge_kind": "resolution", "eigenfunction_mismatch": 0.003485140624102656, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j0", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009115151841232356, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j0", "reverse_second_best_gap": 0.01887646339796013, "reverse_second_distance": 0.027991615239192486, "reverse_unambiguous": true, "second_best_gap": 0.006526215906605067, "second_distance": 0.015641367747837424, "unambiguous": true }, { "best_distance": 0.006217235676932189, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0026473977060748055, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j2", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.006217235676932189, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j0", "reverse_second_best_gap": 0.0064420563664040024, "reverse_second_distance": 0.012659292043336191, "reverse_unambiguous": true, "second_best_gap": 0.012372147865886644, "second_distance": 0.018589383542818833, "unambiguous": true }, { "best_distance": 0.009012223621442035, "edge_kind": "map", "eigenfunction_mismatch": 0.006235240207229653, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j2", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.009012223621442035, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j0", "reverse_second_best_gap": 0.0008520812424432644, "reverse_second_distance": 0.0098643048638853, "reverse_unambiguous": true, "second_best_gap": 0.0036924426524945417, "second_distance": 0.012704666273936576, "unambiguous": true }, { "best_distance": 0.014543146645316644, "edge_kind": "map", "eigenfunction_mismatch": 0.02116378047772549, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.004333369971800466, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j1", "reverse_second_best_gap": 0.010209776673516177, "reverse_second_distance": 0.014543146645316644, "reverse_unambiguous": true, "second_best_gap": 0.39745789219019334, "second_distance": 0.41200103883551, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.014543146645316644, "max_resolution_difference": 0.009115151841232356, "omega_imag": -0.02944205572556158, "omega_real": 5.476322102928059e-05, "outgoing_phase_residual": 1.9043146360007667e-13, "pencil_residual": 3.089411139701605e-14, "reference_difference": 0.4120010390329333, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.003485140624102656, "transformed_residual": 0.0013707320288015527, "unfactored_residual": 0.00011787531138353054 }, { "N": 32, "accepted": false, "branch_id": "branch-0066", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 0.0027103544646645246, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0950862770160177e-08, "infinity_row_residual": 7.056080585388768e-13, "ingoing_phase_residual": 1.8068189531116453e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.0057010263618356705, "matching_checks": [ { "best_distance": 0.0032351497936201298, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0031691089489293, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j1", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0032351497936201298, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j1", "reverse_second_best_gap": 0.012406217954217294, "reverse_second_distance": 0.015641367747837424, "reverse_unambiguous": true, "second_best_gap": 0.024756465445572355, "second_distance": 0.027991615239192486, "unambiguous": true }, { "best_distance": 0.002217494230204509, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0024301338006200712, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j1", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002217494230204509, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j1", "reverse_second_best_gap": 0.018876506325286313, "reverse_second_distance": 0.02109400055549082, "reverse_unambiguous": true, "second_best_gap": 0.010441797813131683, "second_distance": 0.012659292043336191, "unambiguous": true }, { "best_distance": 0.003208285906089477, "edge_kind": "map", "eigenfunction_mismatch": 0.0057010263618356705, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j1", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.003208285906089477, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j1", "reverse_second_best_gap": 0.01887650099709912, "reverse_second_distance": 0.022084786903188595, "reverse_unambiguous": true, "second_best_gap": 0.006656018957795822, "second_distance": 0.0098643048638853, "unambiguous": true }, { "best_distance": 0.004333369971800466, "edge_kind": "map", "eigenfunction_mismatch": 0.0052506932062501566, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004333369971800466, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j1", "reverse_second_best_gap": 0.010209776673516177, "reverse_second_distance": 0.014543146645316644, "reverse_unambiguous": true, "second_best_gap": 0.4107374506956237, "second_distance": 0.4150708206674241, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004333369971800466, "max_resolution_difference": 0.0032351497936201298, "omega_imag": -0.010565541431535468, "omega_real": 5.487029757554177e-05, "outgoing_phase_residual": 5.306783086545813e-13, "pencil_residual": 4.591789873841167e-14, "reference_difference": 0.41507082083192387, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0031691089489293, "transformed_residual": 0.21797385678217926, "unfactored_residual": 0.012406192745207515 }, { "N": 32, "accepted": false, "branch_id": "branch-0067", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 6.1617590812809045e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.4724631979237072e-11, "infinity_row_residual": 6.616873912074837e-13, "ingoing_phase_residual": 3.134712053252465e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.011606704927415445, "matching_checks": [ { "best_distance": 0.2084565710806623, "edge_kind": "resolution", "eigenfunction_mismatch": 0.010129714876523366, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.0017007938282907044, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.2067557772523716, "reverse_second_distance": 0.2084565710806623, "reverse_unambiguous": true, "second_best_gap": 0.016344076159169774, "second_distance": 0.22480064723983206, "unambiguous": true }, { "best_distance": 0.11418194595710351, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0027928186209090766, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j4", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.11418194595710351, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j2", "reverse_second_best_gap": 0.06079243018544947, "reverse_second_distance": 0.17497437614255298, "reverse_unambiguous": true, "second_best_gap": 0.09819085422038606, "second_distance": 0.21237280017748958, "unambiguous": true }, { "best_distance": 0.21616664123044918, "edge_kind": "map", "eigenfunction_mismatch": 0.011606704927415445, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j4", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.061149530095290554, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.11530194573829958, "reverse_second_distance": 0.17645147583359014, "reverse_unambiguous": true, "second_best_gap": 0.031333663049507465, "second_distance": 0.24750030427995665, "unambiguous": true }, { "best_distance": 0.09130862495773397, "edge_kind": "map", "eigenfunction_mismatch": 0.001531590070921851, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j1", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.09130862495773397, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j2", "reverse_second_best_gap": 0.2084554474248762, "reverse_second_distance": 0.29976407238261016, "reverse_unambiguous": true, "second_best_gap": 0.11712227828630582, "second_distance": 0.2084309032440398, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.21616664123044918, "max_resolution_difference": 0.2084565710806623, "omega_imag": -0.770294690191216, "omega_real": 0.11055892177119522, "outgoing_phase_residual": 6.841679014713065e-15, "pencil_residual": 2.9367990746636636e-16, "reference_difference": 0.7449825877854863, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.010129714876523366, "transformed_residual": 4.306398466376795e-14, "unfactored_residual": 5.427183531347183e-16 }, { "N": 32, "accepted": false, "branch_id": "branch-0068", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 4.423250715302319e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.575979415694031e-12, "infinity_row_residual": 6.991234580104271e-13, "ingoing_phase_residual": 7.913171847563256e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0013112694228072375, "matching_checks": [ { "best_distance": 0.0017007938282907044, "edge_kind": "resolution", "eigenfunction_mismatch": 9.374049363408687e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j3", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0017007938282907044, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.2067557772523716, "reverse_second_distance": 0.2084565710806623, "reverse_unambiguous": true, "second_best_gap": 0.22251796609198402, "second_distance": 0.2242187599202747, "unambiguous": true }, { "best_distance": 0.024979351188055443, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00021007659528304856, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j5", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.024979351188055443, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.17723309955477715, "reverse_second_distance": 0.2022124507428326, "reverse_unambiguous": true, "second_best_gap": 0.08807411482878628, "second_distance": 0.11305346601684173, "unambiguous": true }, { "best_distance": 0.061149530095290554, "edge_kind": "map", "eigenfunction_mismatch": 0.0013112694228072375, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j4", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.061149530095290554, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.11530194573829958, "reverse_second_distance": 0.17645147583359014, "reverse_unambiguous": true, "second_best_gap": 0.016051309646293775, "second_distance": 0.07720083974158433, "unambiguous": true }, { "best_distance": 0.0018332230916621897, "edge_kind": "map", "eigenfunction_mismatch": 1.0892053604605323e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j3", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0018332230916621897, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.2065976801523776, "reverse_second_distance": 0.2084309032440398, "reverse_unambiguous": true, "second_best_gap": 0.21923784212877112, "second_distance": 0.22107106522043332, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.061149530095290554, "max_resolution_difference": 0.024979351188055443, "omega_imag": -0.6935101779023246, "omega_real": 0.3043893789854008, "outgoing_phase_residual": 7.226903804802636e-15, "pencil_residual": 4.068163547793154e-16, "reference_difference": 0.6150394884306688, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00021007659528304856, "transformed_residual": 5.313797567192211e-14, "unfactored_residual": 6.639581271086369e-16 }, { "N": 32, "accepted": false, "branch_id": "branch-0069", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 3.2404849030994144e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.2125010113748562e-11, "infinity_row_residual": 4.620701752697903e-13, "ingoing_phase_residual": 7.2758985921642e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0028379781497214207, "matching_checks": [ { "best_distance": 0.03674267376476799, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00023029152247044937, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j2", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03674267376476799, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j4", "reverse_second_best_gap": 0.1880579734750641, "reverse_second_distance": 0.22480064723983206, "reverse_unambiguous": true, "second_best_gap": 0.18107742213301897, "second_distance": 0.21782009589778698, "unambiguous": true }, { "best_distance": 0.1290947221905234, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0034740904081163038, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j7", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.11305346601684173, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j3", "reverse_second_best_gap": 0.01604125617368167, "reverse_second_distance": 0.1290947221905234, "reverse_unambiguous": true, "second_best_gap": 0.03282069825223402, "second_distance": 0.16191542044275742, "unambiguous": true }, { "best_distance": 0.12503406221365002, "edge_kind": "map", "eigenfunction_mismatch": 0.0028379781497214207, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j9", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.12503406221365002, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j4", "reverse_second_best_gap": 0.15066940675874144, "reverse_second_distance": 0.27570346897239145, "reverse_unambiguous": true, "second_best_gap": 0.041790228700122806, "second_distance": 0.16682429091377282, "unambiguous": true }, { "best_distance": 0.019088010251803737, "edge_kind": "map", "eigenfunction_mismatch": 6.319640768293056e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j2", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.019088010251803737, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j4", "reverse_second_best_gap": 0.2019830549686296, "reverse_second_distance": 0.22107106522043332, "reverse_unambiguous": true, "second_best_gap": 0.1988466342343131, "second_distance": 0.21793464448611682, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.12503406221365002, "max_resolution_difference": 0.1290947221905234, "omega_imag": -0.9096846436367649, "omega_real": 0.30955343238718364, "outgoing_phase_residual": 5.5680202830779965e-15, "pencil_residual": 2.6263778448627403e-16, "reference_difference": 0.828296205900433, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0034740904081163038, "transformed_residual": 2.027833928503467e-14, "unfactored_residual": 2.6539308238906983e-16 }, { "N": 32, "accepted": false, "branch_id": "branch-0070", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 9.34084537678379e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.684158903845206e-12, "infinity_row_residual": 8.606224031232098e-13, "ingoing_phase_residual": 3.488295754596756e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 4.403280760012507e-07, "matching_checks": [ { "best_distance": 3.5883469186214364e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 1.8741211915696e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.0:j4", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 3.5883469186214364e-05, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j5", "reverse_second_best_gap": 0.20437398790045552, "reverse_second_distance": 0.20440987136964173, "reverse_unambiguous": true, "second_best_gap": 0.20440994775207455, "second_distance": 0.20444583122126075, "unambiguous": true }, { "best_distance": 0.0002824947162940809, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1600641081077612e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j6", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0002824947162940809, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j5", "reverse_second_best_gap": 0.20418546165582913, "reverse_second_distance": 0.2044679563721232, "reverse_unambiguous": true, "second_best_gap": 0.20192995602653852, "second_distance": 0.2022124507428326, "unambiguous": true }, { "best_distance": 0.0005505761061084092, "edge_kind": "map", "eigenfunction_mismatch": 4.403280760012507e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j5", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0005505761061084092, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j5", "reverse_second_best_gap": 0.20384336406435855, "reverse_second_distance": 0.20439394017046694, "reverse_unambiguous": true, "second_best_gap": 0.17590089972748174, "second_distance": 0.17645147583359014, "unambiguous": true }, { "best_distance": 4.442057919970004e-05, "edge_kind": "map", "eigenfunction_mismatch": 2.8721639511175567e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j4", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.442057919970004e-05, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j5", "reverse_second_best_gap": 0.20436089204835375, "reverse_second_distance": 0.20440531262755346, "reverse_unambiguous": true, "second_best_gap": 0.204401435808699, "second_distance": 0.2044458563878987, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005505761061084092, "max_resolution_difference": 0.0002824947162940809, "omega_imag": -0.473312456762685, "omega_real": 0.346472517582169, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 9.69793381065909e-16, "reference_difference": 0.3909242441918274, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.1600641081077612e-07, "transformed_residual": 1.878016791450663e-13, "unfactored_residual": 2.568588490554029e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j6", "case": "kerr-radial", "coefficient_tail": 1.1612962042650917e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 3.420235438257987e-11, "infinity_row_residual": 7.089640660187349e-12, "ingoing_phase_residual": 1.7544928464186507e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 7.897238418763664e-12, "matching_checks": [ { "best_distance": 2.386456883811994e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 2.0883295093199195e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j5", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.386456883811994e-07, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j6", "reverse_second_best_gap": 0.1867075760554608, "reverse_second_distance": 0.18670781470114917, "reverse_unambiguous": true, "second_best_gap": 0.18670779725370532, "second_distance": 0.1867080358993937, "unambiguous": true }, { "best_distance": 1.26621950685733e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 5.880740339136992e-12, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j8", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.26621950685733e-06, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j6", "reverse_second_best_gap": 0.1867076960170258, "reverse_second_distance": 0.18670896223653266, "reverse_unambiguous": true, "second_best_gap": 0.18670676923138801, "second_distance": 0.18670803545089487, "unambiguous": true }, { "best_distance": 1.4673058379722164e-06, "edge_kind": "map", "eigenfunction_mismatch": 7.897238418763664e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j7", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.4673058379722164e-06, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j6", "reverse_second_best_gap": 0.18670706428973272, "reverse_second_distance": 0.1867085315955707, "reverse_unambiguous": true, "second_best_gap": 0.18670656805440272, "second_distance": 0.1867080353602407, "unambiguous": true }, { "best_distance": 2.8980515559771936e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.079758670310184e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j5", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.8980515559771936e-07, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j6", "reverse_second_best_gap": 0.18670749576876136, "reverse_second_distance": 0.18670778557391696, "reverse_unambiguous": true, "second_best_gap": 0.18670774564818055, "second_distance": 0.18670803545333614, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4673058379722164e-06, "max_resolution_difference": 1.26621950685733e-06, "omega_imag": -0.2725739738131311, "omega_real": 0.38522908380229876, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 4.4120861282874194e-15, "reference_difference": 0.18670803617626736, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 5.880740339136992e-12, "transformed_residual": 4.70059545106318e-13, "unfactored_residual": 1.058077025378381e-14 }, { "N": 32, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.0:j7", "case": "kerr-radial", "coefficient_tail": 1.8858233245302288e-14, "failure_reasons": [], "horizon_row_residual": 1.3836254829018853e-10, "infinity_row_residual": 2.6136066203239327e-11, "ingoing_phase_residual": 1.1289794418499915e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 7.840603241176681e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.0:j6", "peer_configuration": [ "kerr-radial", 28, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.840603241176681e-10, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j7", "reverse_second_best_gap": 0.18670803511533338, "reverse_second_distance": 0.1867080358993937, "reverse_unambiguous": true, "second_best_gap": 0.18670781391708885, "second_distance": 0.18670781470114917, "unambiguous": true }, { "best_distance": 1.8055744651745998e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j9", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8055744651745998e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j7", "reverse_second_best_gap": 0.1867080336453204, "reverse_second_distance": 0.18670803545089487, "reverse_unambiguous": true, "second_best_gap": 0.1867089604309582, "second_distance": 0.18670896223653266, "unambiguous": true }, { "best_distance": 1.4383195799857649e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j8", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.4383195799857649e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j7", "reverse_second_best_gap": 0.18670803392192112, "reverse_second_distance": 0.1867080353602407, "reverse_unambiguous": true, "second_best_gap": 0.1867085301572511, "second_distance": 0.1867085315955707, "unambiguous": true }, { "best_distance": 1.1487050981902094e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j6", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1487050981902094e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.0:j7", "reverse_second_best_gap": 0.18670803430463104, "reverse_second_distance": 0.18670803545333614, "reverse_unambiguous": true, "second_best_gap": 0.18670778442521185, "second_distance": 0.18670778557391696, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4383195799857649e-09, "max_resolution_difference": 1.8055744651745998e-09, "omega_imag": -0.08725714461942877, "omega_real": 0.4079791092340949, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.3854295404521787e-14, "reference_difference": 5.316765610862631e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 9.938453498221574e-13, "unfactored_residual": 4.81227145368203e-14 }, { "N": 32, "accepted": false, "branch_id": "branch-0071", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 0.002613930101829838, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.472888927922216e-10, "infinity_row_residual": 1.906887754567663e-12, "ingoing_phase_residual": 1.822606390240333e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.0052506932062501566, "matching_checks": [ { "best_distance": 0.004609085059126212, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0033046498766073906, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j0", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004609085059126212, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j0", "reverse_second_best_gap": 0.4089065790074255, "reverse_second_distance": 0.4135156640665517, "reverse_unambiguous": true, "second_best_gap": 0.40967910641339567, "second_distance": 0.4142881914725219, "unambiguous": true }, { "best_distance": 0.0031457798835120383, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0025146334268822956, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j1", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0031457798835120383, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j0", "reverse_second_best_gap": 0.4117051949558572, "reverse_second_distance": 0.4148509748393693, "reverse_unambiguous": true, "second_best_gap": 0.0147812331902865, "second_distance": 0.01792701307379854, "unambiguous": true }, { "best_distance": 0.005530935159833213, "edge_kind": "map", "eigenfunction_mismatch": 0.004537121618815809, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j2", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005530935159833213, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j0", "reverse_second_best_gap": 0.40781962587046555, "reverse_second_distance": 0.41335056103029877, "reverse_unambiguous": true, "second_best_gap": 0.0020107162350745337, "second_distance": 0.007541651394907747, "unambiguous": true }, { "best_distance": 0.004333369971800466, "edge_kind": "map", "eigenfunction_mismatch": 0.0052506932062501566, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j1", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004333369971800466, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j0", "reverse_second_best_gap": 0.4107374506956237, "reverse_second_distance": 0.4150708206674241, "reverse_unambiguous": true, "second_best_gap": 0.010209776673516177, "second_distance": 0.014543146645316644, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.005530935159833213, "max_resolution_difference": 0.004609085059126212, "omega_imag": -0.014898909636046839, "omega_real": 5.878394445194993e-05, "outgoing_phase_residual": 3.763313477263831e-13, "pencil_residual": 1.80834260407315e-14, "reference_difference": 0.41428819141743906, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0033046498766073906, "transformed_residual": 0.1578491252122495, "unfactored_residual": 0.009945261132646733 }, { "N": 32, "accepted": false, "branch_id": "branch-0072", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 1.1355151443190156e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.3289742415950438e-11, "infinity_row_residual": 1.1173511186848282e-11, "ingoing_phase_residual": 1.500592517403484e-06, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.018097401024644078, "matching_checks": [ { "best_distance": 0.27477416468921007, "edge_kind": "resolution", "eigenfunction_mismatch": 0.01247855441133694, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j1", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.024514679128858557, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j2", "reverse_second_best_gap": 0.2121319545500881, "reverse_second_distance": 0.23664663367894664, "reverse_unambiguous": true, "second_best_gap": 0.023669589404300362, "second_distance": 0.2984437540935104, "unambiguous": true }, { "best_distance": 0.12195817202124921, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0028660360815060404, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j2", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.12195817202124921, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j1", "reverse_second_best_gap": 0.07613912152492937, "reverse_second_distance": 0.19809729354617858, "reverse_unambiguous": true, "second_best_gap": 0.18039997451141115, "second_distance": 0.30235814653266035, "unambiguous": true }, { "best_distance": 0.28725712615050564, "edge_kind": "map", "eigenfunction_mismatch": 0.018097401024644078, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j3", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.28521952096626885, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j4", "reverse_second_best_gap": 0.0020376051842367904, "reverse_second_distance": 0.28725712615050564, "reverse_unambiguous": true, "second_best_gap": 0.016994921823675846, "second_distance": 0.3042520479741815, "unambiguous": true }, { "best_distance": 0.09130862495773397, "edge_kind": "map", "eigenfunction_mismatch": 0.001531590070921518, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j2", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.09130862495773397, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j1", "reverse_second_best_gap": 0.11712227828630582, "reverse_second_distance": 0.2084309032440398, "reverse_unambiguous": true, "second_best_gap": 0.2084554474248762, "second_distance": 0.29976407238261016, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.28725712615050564, "max_resolution_difference": 0.27477416468921007, "omega_imag": -0.8013062615607268, "omega_real": 0.024677914366380418, "outgoing_phase_residual": 6.7735769579818055e-15, "pencil_residual": 3.2377228957184463e-15, "reference_difference": 0.8104233133540155, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.01247855441133694, "transformed_residual": 1.2072656041115215e-13, "unfactored_residual": 1.516913163854771e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0073", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 9.824870587443787e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.107278596166991e-12, "infinity_row_residual": 1.1744698636629741e-11, "ingoing_phase_residual": 7.540025186932673e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0036168719181796094, "matching_checks": [ { "best_distance": 0.024514679128858557, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00010063312422692317, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j1", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.024514679128858557, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j2", "reverse_second_best_gap": 0.2121319545500881, "reverse_second_distance": 0.23664663367894664, "reverse_unambiguous": true, "second_best_gap": 0.1975129299569178, "second_distance": 0.22202760908577635, "unambiguous": true }, { "best_distance": 0.03390776903234265, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00020420463654768906, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j4", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03390776903234265, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j2", "reverse_second_best_gap": 0.16376322636986884, "reverse_second_distance": 0.19767099540221147, "reverse_unambiguous": true, "second_best_gap": 0.18845485707121085, "second_distance": 0.2223626261035535, "unambiguous": true }, { "best_distance": 0.14232840337419442, "edge_kind": "map", "eigenfunction_mismatch": 0.0036168719181796094, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j9", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.14232840337419442, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j2", "reverse_second_best_gap": 0.13520420144567155, "reverse_second_distance": 0.27753260481986597, "reverse_unambiguous": true, "second_best_gap": 0.0348689271694613, "second_distance": 0.17719733054365572, "unambiguous": true }, { "best_distance": 0.019088010251803737, "edge_kind": "map", "eigenfunction_mismatch": 6.319640768293056e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j4", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.019088010251803737, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j2", "reverse_second_best_gap": 0.1988466342343131, "reverse_second_distance": 0.21793464448611682, "reverse_unambiguous": true, "second_best_gap": 0.2019830549686296, "second_distance": 0.22107106522043332, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14232840337419442, "max_resolution_difference": 0.03390776903234265, "omega_imag": -0.9141754744126711, "omega_real": 0.2910012202733914, "outgoing_phase_residual": 5.512120354514498e-15, "pencil_residual": 4.008209968947447e-15, "reference_difference": 0.835151333795153, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00020420463654768906, "transformed_residual": 1.142615828540398e-13, "unfactored_residual": 1.152994565597482e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0074", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 7.230024105043065e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.673881651697621e-12, "infinity_row_residual": 2.1758651838506206e-11, "ingoing_phase_residual": 7.913825817263706e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.001237238121105655, "matching_checks": [ { "best_distance": 0.0012588164497683212, "edge_kind": "resolution", "eigenfunction_mismatch": 5.133130147605414e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j2", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0012588164497683212, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j3", "reverse_second_best_gap": 0.22076879263600802, "reverse_second_distance": 0.22202760908577635, "reverse_unambiguous": true, "second_best_gap": 0.2214640879722146, "second_distance": 0.22272290442198292, "unambiguous": true }, { "best_distance": 0.005162066216863123, "edge_kind": "resolution", "eigenfunction_mismatch": 8.712224335738483e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j3", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.005162066216863123, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j3", "reverse_second_best_gap": 0.21720055988669038, "reverse_second_distance": 0.2223626261035535, "reverse_unambiguous": true, "second_best_gap": 0.19250892918534834, "second_distance": 0.19767099540221147, "unambiguous": true }, { "best_distance": 0.05931652913950446, "edge_kind": "map", "eigenfunction_mismatch": 0.001237238121105655, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j4", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05931652913950446, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j3", "reverse_second_best_gap": 0.11717805930150738, "reverse_second_distance": 0.17649458844101185, "reverse_unambiguous": true, "second_best_gap": 0.019613593067872977, "second_distance": 0.07893012220737744, "unambiguous": true }, { "best_distance": 0.0018332230916621897, "edge_kind": "map", "eigenfunction_mismatch": 1.0892053604605323e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j3", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0018332230916621897, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j3", "reverse_second_best_gap": 0.21923784212877112, "reverse_second_distance": 0.22107106522043332, "reverse_unambiguous": true, "second_best_gap": 0.2065976801523776, "second_distance": 0.2084309032440398, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.05931652913950446, "max_resolution_difference": 0.005162066216863123, "omega_imag": -0.691829792267613, "omega_real": 0.30365656862626395, "outgoing_phase_residual": 7.102824795756441e-15, "pencil_residual": 5.144175375222584e-15, "reference_difference": 0.6135073581581467, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.712224335738483e-06, "transformed_residual": 2.1000899325612514e-13, "unfactored_residual": 2.655291739238243e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0075", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 2.6786720686141824e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.851218798077157e-12, "infinity_row_residual": 4.9357596632893076e-11, "ingoing_phase_residual": 3.4877435888944463e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 4.6688969401742497e-07, "matching_checks": [ { "best_distance": 4.3240159211599626e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.7217806897184005e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N28:c1.4:j3", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.3240159211599626e-05, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j4", "reverse_second_best_gap": 0.20435212525985205, "reverse_second_distance": 0.20439536541906364, "reverse_unambiguous": true, "second_best_gap": 0.20436217387548672, "second_distance": 0.2044054140346983, "unambiguous": true }, { "best_distance": 7.860905785576303e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 8.99832364176234e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j5", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.860905785576303e-05, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j4", "reverse_second_best_gap": 0.2043510516089235, "reverse_second_distance": 0.20442966066677926, "reverse_unambiguous": true, "second_best_gap": 0.2043272789852446, "second_distance": 0.20440588804310036, "unambiguous": true }, { "best_distance": 0.0005668798808585501, "edge_kind": "map", "eigenfunction_mismatch": 4.6688969401742497e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j5", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0005668798808585501, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j4", "reverse_second_best_gap": 0.2038273000941917, "reverse_second_distance": 0.20439417997505024, "reverse_unambiguous": true, "second_best_gap": 0.1759277085601533, "second_distance": 0.17649458844101185, "unambiguous": true }, { "best_distance": 4.442057919970004e-05, "edge_kind": "map", "eigenfunction_mismatch": 2.8721639511175567e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j5", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.442057919970004e-05, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j4", "reverse_second_best_gap": 0.204401435808699, "reverse_second_distance": 0.2044458563878987, "reverse_unambiguous": true, "second_best_gap": 0.20436089204835375, "second_distance": 0.20440531262755346, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0005668798808585501, "max_resolution_difference": 7.860905785576303e-05, "omega_imag": -0.4732764233632293, "omega_real": 0.34649849414814876, "outgoing_phase_residual": 9.481363131331599e-15, "pencil_residual": 7.113368142716373e-15, "reference_difference": 0.3908845730385804, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.99832364176234e-09, "transformed_residual": 4.667430408230318e-13, "unfactored_residual": 6.351533390256108e-15 }, { "N": 32, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j5", "case": "kerr-radial", "coefficient_tail": 5.0438703232504083e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 2.4646939865163755e-11, "infinity_row_residual": 1.3999783085320757e-10, "ingoing_phase_residual": 1.7544912298604788e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 7.64466268066144e-12, "matching_checks": [ { "best_distance": 3.48657752753521e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 4.4575454438700035e-13, "failure_reasons": [], "nearest_index": 4, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j4", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.48657752753521e-07, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j5", "reverse_second_best_gap": 0.1867075964208574, "reverse_second_distance": 0.18670794507861016, "reverse_unambiguous": true, "second_best_gap": 0.18670743628993858, "second_distance": 0.18670778494769133, "unambiguous": true }, { "best_distance": 4.2711305898332197e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 6.690203946391193e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j6", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.2711305898332197e-07, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j5", "reverse_second_best_gap": 0.18670704130002178, "reverse_second_distance": 0.18670746841308075, "reverse_unambiguous": true, "second_best_gap": 0.18670735799155422, "second_distance": 0.1867077851046132, "unambiguous": true }, { "best_distance": 1.4436555095378277e-06, "edge_kind": "map", "eigenfunction_mismatch": 7.64466268066144e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j7", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.4436555095378277e-06, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j5", "reverse_second_best_gap": 0.1867070870383513, "reverse_second_distance": 0.1867085306938608, "reverse_unambiguous": true, "second_best_gap": 0.18670634092360813, "second_distance": 0.18670778457911766, "unambiguous": true }, { "best_distance": 2.8980515559771936e-07, "edge_kind": "map", "eigenfunction_mismatch": 3.079758670310184e-13, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j6", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.8980515559771936e-07, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j5", "reverse_second_best_gap": 0.18670774564818055, "reverse_second_distance": 0.18670803545333614, "reverse_unambiguous": true, "second_best_gap": 0.18670749576876136, "second_distance": 0.18670778557391696, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.4436555095378277e-06, "max_resolution_difference": 4.2711305898332197e-07, "omega_imag": -0.27257370720286905, "omega_real": 0.3852289701977373, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 8.636511667197267e-15, "reference_difference": 0.18670778539514316, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 6.690203946391193e-13, "transformed_residual": 7.343629059134111e-13, "unfactored_residual": 1.651564568724067e-14 }, { "N": 32, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N32:c1.4:j6", "case": "kerr-radial", "coefficient_tail": 1.9836448730944122e-14, "failure_reasons": [], "horizon_row_residual": 4.775134825201333e-11, "infinity_row_residual": 1.6819135348626372e-10, "ingoing_phase_residual": 1.1289794422443348e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 3.667952719608155e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N28:c1.4:j5", "peer_configuration": [ "kerr-radial", 28, 1.4 ], "reciprocal": true, "reverse_best_distance": 3.667952719608155e-10, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j6", "reverse_second_best_gap": 0.18670778458089607, "reverse_second_distance": 0.18670778494769133, "reverse_unambiguous": true, "second_best_gap": 0.1867079447118149, "second_distance": 0.18670794507861016, "unambiguous": true }, { "best_distance": 7.711632719147203e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j7", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.711632719147203e-10, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j6", "reverse_second_best_gap": 0.18670778433344992, "reverse_second_distance": 0.1867077851046132, "reverse_unambiguous": true, "second_best_gap": 0.18670746764191748, "second_distance": 0.18670746841308075, "unambiguous": true }, { "best_distance": 1.7529430981602263e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j8", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.7529430981602263e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j6", "reverse_second_best_gap": 0.18670778282617456, "reverse_second_distance": 0.18670778457911766, "reverse_unambiguous": true, "second_best_gap": 0.18670852894091772, "second_distance": 0.1867085306938608, "unambiguous": true }, { "best_distance": 1.1487050981902094e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j7", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1487050981902094e-09, "reverse_nearest_candidate_id": "kerr-radial:N32:c1.4:j6", "reverse_second_best_gap": 0.18670778442521185, "reverse_second_distance": 0.18670778557391696, "reverse_unambiguous": true, "second_best_gap": 0.18670803430463104, "second_distance": 0.18670803545333614, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.7529430981602263e-09, "max_resolution_difference": 7.711632719147203e-10, "omega_imag": -0.08725714542770077, "omega_real": 0.40797910841787205, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 9.94477198946479e-15, "reference_difference": 7.530757966533729e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.0845616009546116e-12, "unfactored_residual": 5.252882574331421e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0076", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 0.0025185252991711433, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.301100931136561e-09, "infinity_row_residual": 2.882534337671386e-13, "ingoing_phase_residual": 1.8014345229364117e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.021193119516894177, "matching_checks": [ { "best_distance": 0.0015375703213495685, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0023659821662823655, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j1", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0015375703213495685, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j0", "reverse_second_best_gap": 0.00725320975975656, "reverse_second_distance": 0.008790780081106129, "reverse_unambiguous": true, "second_best_gap": 0.013072580736586351, "second_distance": 0.01461015105793592, "unambiguous": true }, { "best_distance": 0.0011019189156953344, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0018819039624224931, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j0", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0011019189156953344, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j0", "reverse_second_best_gap": 0.010328342758811346, "reverse_second_distance": 0.01143026167450668, "reverse_unambiguous": true, "second_best_gap": 0.006162192129924757, "second_distance": 0.007264111045620091, "unambiguous": true }, { "best_distance": 0.0025283621198721657, "edge_kind": "map", "eigenfunction_mismatch": 0.005602301975668467, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j1", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0025283621198721657, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j0", "reverse_second_best_gap": 0.005271627572526399, "reverse_second_distance": 0.007799989692398564, "reverse_unambiguous": true, "second_best_gap": 0.014876772457923118, "second_distance": 0.017405134577795283, "unambiguous": true }, { "best_distance": 0.005933444458934949, "edge_kind": "map", "eigenfunction_mismatch": 0.021193119516894177, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j1", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.004394906333580259, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j2", "reverse_second_best_gap": 0.0015385381253546892, "reverse_second_distance": 0.005933444458934949, "reverse_unambiguous": true, "second_best_gap": 0.02107275615337614, "second_distance": 0.02700620061231109, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.005933444458934949, "max_resolution_difference": 0.0015375703213495685, "omega_imag": -0.005819716013052704, "omega_real": 3.80361774196445e-05, "outgoing_phase_residual": 9.634281517414442e-13, "pencil_residual": 2.2983745222054668e-14, "reference_difference": 0.4159903526049097, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0023659821662823655, "transformed_residual": 0.61373829951492, "unfactored_residual": 0.022875809934990308 }, { "N": 36, "accepted": false, "branch_id": "branch-0077", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 1.8721281041556897e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.0043733290531172e-10, "infinity_row_residual": 1.6520242757869766e-12, "ingoing_phase_residual": 2.001074957802167e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0060884687816126215, "matching_checks": [ { "best_distance": 0.008880352277854407, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0027009717413737366, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j0", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008880352277854407, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j1", "reverse_second_best_gap": 0.017118337797130304, "reverse_second_distance": 0.02599869007498471, "reverse_unambiguous": true, "second_best_gap": 0.0039561967242257474, "second_distance": 0.012836549002080155, "unambiguous": true }, { "best_distance": 0.006337539015523505, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002124386304857895, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j3", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006337539015523505, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j1", "reverse_second_best_gap": 0.0044432801608397824, "reverse_second_distance": 0.010780819176363287, "reverse_unambiguous": true, "second_best_gap": 0.008056877531968536, "second_distance": 0.01439441654749204, "unambiguous": true }, { "best_distance": 0.0100415593363662, "edge_kind": "map", "eigenfunction_mismatch": 0.0060884687816126215, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j2", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.0070767970433427895, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j2", "reverse_second_best_gap": 0.0029647622930234112, "reverse_second_distance": 0.0100415593363662, "reverse_unambiguous": true, "second_best_gap": 0.004723521612073862, "second_distance": 0.014765080948440062, "unambiguous": true }, { "best_distance": 0.0004407806626232714, "edge_kind": "map", "eigenfunction_mismatch": 8.535812060617154e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j0", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004407806626232714, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j1", "reverse_second_best_gap": 0.016237114497620442, "reverse_second_distance": 0.016677895160243712, "reverse_unambiguous": true, "second_best_gap": 0.02107247621839105, "second_distance": 0.021513256881014322, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0100415593363662, "max_resolution_difference": 0.008880352277854407, "omega_imag": -0.03326638695813617, "omega_real": 5.9907619284015074e-05, "outgoing_phase_residual": 1.6853772786414547e-13, "pencil_residual": 9.045473316552704e-15, "reference_difference": 0.4114767023152629, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0027009717413737366, "transformed_residual": 6.336863437037748e-05, "unfactored_residual": 5.583540923277879e-06 }, { "N": 36, "accepted": false, "branch_id": "branch-0078", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 5.021318091946632e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.6856001991819973e-11, "infinity_row_residual": 5.656587801153742e-13, "ingoing_phase_residual": 1.8289336940511424e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.006053815858876765, "matching_checks": [ { "best_distance": 0.004281808447322395, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002529310838515486, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j2", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004281808447322395, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j2", "reverse_second_best_gap": 0.008554740554757759, "reverse_second_distance": 0.012836549002080155, "reverse_unambiguous": true, "second_best_gap": 0.0045089716337837335, "second_distance": 0.008790780081106129, "unambiguous": true }, { "best_distance": 0.0030642361466548845, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001992281404862517, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j2", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0030642361466548845, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j2", "reverse_second_best_gap": 0.004199874898965207, "reverse_second_distance": 0.007264111045620091, "reverse_unambiguous": true, "second_best_gap": 0.007716583029708403, "second_distance": 0.010780819176363287, "unambiguous": true }, { "best_distance": 0.0070767970433427895, "edge_kind": "map", "eigenfunction_mismatch": 0.006053815858876765, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j2", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0070767970433427895, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j2", "reverse_second_best_gap": 0.0029647622930234112, "reverse_second_distance": 0.0100415593363662, "reverse_unambiguous": true, "second_best_gap": 0.0007231926490557745, "second_distance": 0.007799989692398564, "unambiguous": true }, { "best_distance": 0.004394906333580259, "edge_kind": "map", "eigenfunction_mismatch": 0.004516297634358457, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j1", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004394906333580259, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j2", "reverse_second_best_gap": 0.0015385381253546892, "reverse_second_distance": 0.005933444458934949, "reverse_unambiguous": true, "second_best_gap": 0.012282988826663453, "second_distance": 0.016677895160243712, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0070767970433427895, "max_resolution_difference": 0.004281808447322395, "omega_imag": -0.0161480324696933, "omega_real": 6.299911688740276e-05, "outgoing_phase_residual": 3.472195998389057e-13, "pencil_residual": 1.1055493184274824e-14, "reference_difference": 0.4140676977466428, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002529310838515486, "transformed_residual": 0.003641711039834222, "unfactored_residual": 0.00024568794764346356 }, { "N": 36, "accepted": false, "branch_id": "branch-0079", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 4.7073473100606215e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.950062429247082e-11, "infinity_row_residual": 1.2750529247541914e-12, "ingoing_phase_residual": 3.930130637690562e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.03765426022122842, "matching_checks": [ { "best_distance": 0.06491691661730359, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001221866016655082, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j3", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06491691661730359, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j3", "reverse_second_best_gap": 0.16480793346661773, "reverse_second_distance": 0.22972485008392132, "reverse_unambiguous": true, "second_best_gap": 0.1804490115620591, "second_distance": 0.24536592817936267, "unambiguous": true }, { "best_distance": 0.10628201800317776, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0030236223365360804, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j5", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10628201800317776, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j3", "reverse_second_best_gap": 0.16969569622496405, "reverse_second_distance": 0.2759777142281418, "reverse_unambiguous": true, "second_best_gap": 0.03773575944238804, "second_distance": 0.1440177774455658, "unambiguous": true }, { "best_distance": 0.09122762742274458, "edge_kind": "map", "eigenfunction_mismatch": 0.002305418242684376, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j3", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.09122762742274458, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j3", "reverse_second_best_gap": 0.2062833394948504, "reverse_second_distance": 0.297510966917595, "reverse_unambiguous": true, "second_best_gap": 0.10681293911220614, "second_distance": 0.19804056653495072, "unambiguous": true }, { "best_distance": 0.24599505536594116, "edge_kind": "map", "eigenfunction_mismatch": 0.03765426022122842, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j5", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0018866924908856554, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j5", "reverse_second_best_gap": 0.12394328402065424, "reverse_second_distance": 0.1258299765115399, "reverse_unambiguous": true, "second_best_gap": 0.0019843780766301833, "second_distance": 0.24797943344257134, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.24599505536594116, "max_resolution_difference": 0.10628201800317776, "omega_imag": -0.4629309615363541, "omega_real": 0.10079157744581378, "outgoing_phase_residual": 1.1630289987405916e-14, "pencil_residual": 1.5956053218403819e-15, "reference_difference": 0.4852782665614732, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0030236223365360804, "transformed_residual": 7.033719836028208e-13, "unfactored_residual": 1.1469884233145383e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0080", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 2.3464098746660882e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.1204704122504566e-11, "infinity_row_residual": 2.715271625015902e-12, "ingoing_phase_residual": 6.013953548533181e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.005082437569066567, "matching_checks": [ { "best_distance": 0.05436589834238905, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0013043519120644609, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j4", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05436589834238905, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j4", "reverse_second_best_gap": 0.06486833428507846, "reverse_second_distance": 0.11923423262746752, "reverse_unambiguous": true, "second_best_gap": 0.07129587293347722, "second_distance": 0.12566177127586628, "unambiguous": true }, { "best_distance": 0.1323003419306116, "edge_kind": "resolution", "eigenfunction_mismatch": 0.012847259002965128, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j10", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.11621417077343275, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j6", "reverse_second_best_gap": 0.01608617115717885, "reverse_second_distance": 0.1323003419306116, "reverse_unambiguous": true, "second_best_gap": 0.0064213544402268175, "second_distance": 0.13872169637083842, "unambiguous": true }, { "best_distance": 0.08758625350898805, "edge_kind": "map", "eigenfunction_mismatch": 0.0032182388994248523, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j5", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08758625350898805, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j4", "reverse_second_best_gap": 0.0018757713678814458, "reverse_second_distance": 0.0894620248768695, "reverse_unambiguous": true, "second_best_gap": 0.03808851490963905, "second_distance": 0.1256747684186271, "unambiguous": true }, { "best_distance": 0.11228248003562476, "edge_kind": "map", "eigenfunction_mismatch": 0.005082437569066567, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j3", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.07270421686535611, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j6", "reverse_second_best_gap": 0.03957826317026865, "reverse_second_distance": 0.11228248003562476, "reverse_unambiguous": true, "second_best_gap": 0.013547496475915147, "second_distance": 0.1258299765115399, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.11228248003562476, "max_resolution_difference": 0.1323003419306116, "omega_imag": -0.5828612437520394, "omega_real": 0.2846590708364325, "outgoing_phase_residual": 8.4655870644972e-15, "pencil_residual": 1.4001101408552072e-15, "reference_difference": 0.5107164131923818, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.012847259002965128, "transformed_residual": 3.2998506827724944e-13, "unfactored_residual": 4.371280051660908e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0081", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 2.551131599561038e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.517462967383302e-11, "infinity_row_residual": 2.8937989507085176e-12, "ingoing_phase_residual": 3.497482114180968e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 5.140102129819191e-06, "matching_checks": [ { "best_distance": 0.0013014054461762644, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4401256419892547e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j5", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0013014054461762644, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j5", "reverse_second_best_gap": 0.12436036582969001, "reverse_second_distance": 0.12566177127586628, "reverse_unambiguous": true, "second_best_gap": 0.1743147731485619, "second_distance": 0.17561617859473816, "unambiguous": true }, { "best_distance": 0.0170658851611002, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00045481802513591685, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j7", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0170658851611002, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j5", "reverse_second_best_gap": 0.12165581120973823, "reverse_second_distance": 0.13872169637083842, "reverse_unambiguous": true, "second_best_gap": 0.08936064357194762, "second_distance": 0.10642652873304781, "unambiguous": true }, { "best_distance": 0.0015180992791577373, "edge_kind": "map", "eigenfunction_mismatch": 3.3228153607511857e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j6", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0015180992791577373, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j5", "reverse_second_best_gap": 0.12415666913946936, "reverse_second_distance": 0.1256747684186271, "reverse_unambiguous": true, "second_best_gap": 0.2000823315656477, "second_distance": 0.20160043084480544, "unambiguous": true }, { "best_distance": 0.0018866924908856554, "edge_kind": "map", "eigenfunction_mismatch": 5.140102129819191e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j5", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0018866924908856554, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j5", "reverse_second_best_gap": 0.12394328402065424, "reverse_second_distance": 0.1258299765115399, "reverse_unambiguous": true, "second_best_gap": 0.20309409416077687, "second_distance": 0.20498078665166253, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0018866924908856554, "max_resolution_difference": 0.0170658851611002, "omega_imag": -0.4735055647418716, "omega_real": 0.34469043042081815, "outgoing_phase_residual": 9.470306523562202e-15, "pencil_residual": 1.9126537216939464e-15, "reference_difference": 0.39139915528448316, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00045481802513591685, "transformed_residual": 7.64818226374669e-13, "unfactored_residual": 1.0417287293947704e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0082", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j6", "case": "kerr-radial", "coefficient_tail": 1.4975766649696386e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.4456884172582052e-11, "infinity_row_residual": 2.5769152995014314e-12, "ingoing_phase_residual": 6.048445969687911e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0029837153413176942, "matching_checks": [ { "best_distance": 0.05339535296964764, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009869996589484398, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j6", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05339535296964764, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j6", "reverse_second_best_gap": 0.09433137470967187, "reverse_second_distance": 0.14772672767931952, "reverse_unambiguous": true, "second_best_gap": 0.06583887965781987, "second_distance": 0.11923423262746752, "unambiguous": true }, { "best_distance": 0.11621417077343275, "edge_kind": "resolution", "eigenfunction_mismatch": 0.009158583414488053, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j10", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.11621417077343275, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j6", "reverse_second_best_gap": 0.01608617115717885, "reverse_second_distance": 0.1323003419306116, "reverse_unambiguous": true, "second_best_gap": 0.015291370610893848, "second_distance": 0.1315055413843266, "unambiguous": true }, { "best_distance": 0.0894620248768695, "edge_kind": "map", "eigenfunction_mismatch": 0.0029837153413176942, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j5", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.08758625350898805, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j4", "reverse_second_best_gap": 0.0018757713678814458, "reverse_second_distance": 0.0894620248768695, "reverse_unambiguous": true, "second_best_gap": 0.0020791985178127, "second_distance": 0.0915412233946822, "unambiguous": true }, { "best_distance": 0.07270421686535611, "edge_kind": "map", "eigenfunction_mismatch": 0.0019142502939009098, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j3", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.07270421686535611, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j6", "reverse_second_best_gap": 0.03957826317026865, "reverse_second_distance": 0.11228248003562476, "reverse_unambiguous": true, "second_best_gap": 0.12617338014947535, "second_distance": 0.19887759701483146, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0894620248768695, "max_resolution_difference": 0.11621417077343275, "omega_imag": -0.7019417165057419, "omega_real": 0.38086341822918346, "outgoing_phase_residual": 6.88539697555894e-15, "pencil_residual": 1.1470636788187298e-15, "reference_difference": 0.6152823607438013, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.009158583414488053, "transformed_residual": 1.2513027487442332e-13, "unfactored_residual": 1.5226498407911054e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j7", "case": "kerr-radial", "coefficient_tail": 3.192070963964903e-14, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.9727323387024123e-11, "infinity_row_residual": 2.927215629377429e-12, "ingoing_phase_residual": 1.754495220483157e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 2.7967406168727393e-11, "matching_checks": [ { "best_distance": 9.377323164048605e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 3.2255309534434673e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j7", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 9.377323164048605e-07, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j7", "reverse_second_best_gap": 0.1867075940213817, "reverse_second_distance": 0.18670853175369811, "reverse_unambiguous": true, "second_best_gap": 0.18670834824630322, "second_distance": 0.18670928597861963, "unambiguous": true }, { "best_distance": 2.415450810356307e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1401956873390304e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j8", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.415450810356307e-05, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j7", "reverse_second_best_gap": 0.18669141427814537, "reverse_second_distance": 0.18671556878624893, "reverse_unambiguous": true, "second_best_gap": 0.18668514898141073, "second_distance": 0.18670930348951428, "unambiguous": true }, { "best_distance": 1.1211705044525554e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.610867243570738e-12, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j8", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1211705044525554e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j7", "reverse_second_best_gap": 0.18670784122416206, "reverse_second_distance": 0.18670896239466653, "reverse_unambiguous": true, "second_best_gap": 0.18670816489877481, "second_distance": 0.18670928606927928, "unambiguous": true }, { "best_distance": 2.761297330551414e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.7967406168727393e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j6", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.761297330551414e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j7", "reverse_second_best_gap": 0.18670470817560067, "reverse_second_distance": 0.1867074694729312, "reverse_unambiguous": true, "second_best_gap": 0.18670652520676173, "second_distance": 0.18670928650409227, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.761297330551414e-06, "max_resolution_difference": 2.415450810356307e-05, "omega_imag": -0.27257497909991485, "omega_real": 0.3852270089885806, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 3.2069983890330582e-15, "reference_difference": 0.18670928679463036, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.1401956873390304e-09, "transformed_residual": 2.311471036200785e-12, "unfactored_residual": 5.1877930082503374e-14 }, { "N": 36, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j8", "case": "kerr-radial", "coefficient_tail": 3.393384224601777e-14, "failure_reasons": [], "horizon_row_residual": 4.415017251267664e-11, "infinity_row_residual": 6.7909174528498025e-12, "ingoing_phase_residual": 1.1289794358443108e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 3.5602474560239155e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N32:c0.7:j8", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 3.5602474560239155e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j8", "reverse_second_best_gap": 0.18670928241837217, "reverse_second_distance": 0.18670928597861963, "reverse_unambiguous": true, "second_best_gap": 0.18670852819345066, "second_distance": 0.18670853175369811, "unambiguous": true }, { "best_distance": 2.0296183345565534e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7763568394002505e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c0.7:j9", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0296183345565534e-08, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j8", "reverse_second_best_gap": 0.18670928319333094, "reverse_second_distance": 0.18670930348951428, "reverse_unambiguous": true, "second_best_gap": 0.18671554849006558, "second_distance": 0.18671556878624893, "unambiguous": true }, { "best_distance": 4.034819257045228e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j9", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.034819257045228e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j8", "reverse_second_best_gap": 0.18670928203446002, "reverse_second_distance": 0.18670928606927928, "reverse_unambiguous": true, "second_best_gap": 0.18670895835984727, "second_distance": 0.18670896239466653, "unambiguous": true }, { "best_distance": 1.1631438308203602e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j7", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.1631438308203602e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j8", "reverse_second_best_gap": 0.18670928534094844, "reverse_second_distance": 0.18670928650409227, "reverse_unambiguous": true, "second_best_gap": 0.18670746830978738, "second_distance": 0.1867074694729312, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.034819257045228e-09, "max_resolution_difference": 2.0296183345565534e-08, "omega_imag": -0.08725714417860758, "omega_real": 0.4079791069411432, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 5.3391505067460615e-15, "reference_difference": 1.8596351638138888e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.7763568394002505e-15, "transformed_residual": 3.547725842170725e-12, "unfactored_residual": 1.7186787882561621e-13 }, { "N": 36, "accepted": false, "branch_id": "branch-0083", "branch_unique": true, "candidate_id": "kerr-radial:N36:c0.7:j9", "case": "kerr-radial", "coefficient_tail": 1.3333993186419629e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0201236805134009e-11, "infinity_row_residual": 1.747515610717119e-12, "ingoing_phase_residual": 5.403413092449884e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.004563628346027637, "matching_checks": [ { "best_distance": 0.08415602542205282, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015770241037101895, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N32:c0.7:j9", "peer_configuration": [ "kerr-radial", 32, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.08415602542205282, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j9", "reverse_second_best_gap": 0.15749974237744474, "reverse_second_distance": 0.24165576779949757, "reverse_unambiguous": true, "second_best_gap": 0.0635707022572667, "second_distance": 0.14772672767931952, "unambiguous": true }, { "best_distance": 0.13029528931065018, "edge_kind": "resolution", "eigenfunction_mismatch": 0.007343484641343934, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j11", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.13029528931065018, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j9", "reverse_second_best_gap": 0.001210252073676421, "reverse_second_distance": 0.1315055413843266, "reverse_unambiguous": true, "second_best_gap": 0.00022718176079861152, "second_distance": 0.1305224710714488, "unambiguous": true }, { "best_distance": 0.10679338827019864, "edge_kind": "map", "eigenfunction_mismatch": 0.002516561191785227, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j10", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.10679338827019864, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j9", "reverse_second_best_gap": 0.16842608776824264, "reverse_second_distance": 0.27521947603844127, "reverse_unambiguous": true, "second_best_gap": 0.010584719723912367, "second_distance": 0.11737810799411101, "unambiguous": true }, { "best_distance": 0.14679572103764968, "edge_kind": "map", "eigenfunction_mismatch": 0.004563628346027637, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j4", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.14679572103764968, "reverse_nearest_candidate_id": "kerr-radial:N36:c0.7:j9", "reverse_second_best_gap": 0.05208187597718178, "reverse_second_distance": 0.19887759701483146, "reverse_unambiguous": true, "second_best_gap": 0.0759041725206629, "second_distance": 0.22269989355831257, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14679572103764968, "max_resolution_difference": 0.13029528931065018, "omega_imag": -0.8583065840453538, "omega_real": 0.4574707571236151, "outgoing_phase_residual": 5.646059903994778e-15, "pencil_residual": 7.982587510662768e-16, "reference_difference": 0.772636176425656, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.007343484641343934, "transformed_residual": 9.112666701908434e-14, "unfactored_residual": 1.0615156277622394e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0084", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 1.628626913029922e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.3142253627920024e-09, "infinity_row_residual": 3.3736683802147873e-12, "ingoing_phase_residual": 2.2646632899442528e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.006986675579863433, "matching_checks": [ { "best_distance": 0.018589383542818833, "edge_kind": "resolution", "eigenfunction_mismatch": 0.011478212143176458, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j0", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.006217235676932189, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.012372147865886644, "reverse_second_distance": 0.018589383542818833, "reverse_unambiguous": true, "second_best_gap": 0.018876489508877103, "second_distance": 0.037465873051695936, "unambiguous": true }, { "best_distance": 0.009240867534686935, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002217955832138685, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j1", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009240867534686935, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j0", "reverse_second_best_gap": 0.00632490377402618, "reverse_second_distance": 0.015565771308713115, "reverse_unambiguous": true, "second_best_gap": 0.01999876877773979, "second_distance": 0.029239636312426726, "unambiguous": true }, { "best_distance": 0.014765080948440062, "edge_kind": "map", "eigenfunction_mismatch": 0.006510450439317306, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j1", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0100415593363662, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.004723521612073862, "reverse_second_distance": 0.014765080948440062, "reverse_unambiguous": true, "second_best_gap": 0.01711831737529057, "second_distance": 0.03188339832373063, "unambiguous": true }, { "best_distance": 0.015205506349733975, "edge_kind": "map", "eigenfunction_mismatch": 0.006986675579863433, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j0", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.009601112177097743, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.005604394172636232, "reverse_second_distance": 0.015205506349733975, "reverse_unambiguous": true, "second_best_gap": 0.021072781204298324, "second_distance": 0.0362782875540323, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.015205506349733975, "max_resolution_difference": 0.018589383542818833, "omega_imag": -0.0480313898316125, "omega_real": 1.189136970791949e-05, "outgoing_phase_residual": 1.1672344602426756e-13, "pencil_residual": 2.347313643291568e-14, "reference_difference": 0.40984864313125696, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.011478212143176458, "transformed_residual": 3.899076082154938e-05, "unfactored_residual": 3.4622985205006384e-06 }, { "N": 36, "accepted": false, "branch_id": "branch-0085", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 0.0024648672357363475, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.3322279048082444e-08, "infinity_row_residual": 2.0246901194767066e-12, "ingoing_phase_residual": 1.8027713985288575e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.005602301975668467, "matching_checks": [ { "best_distance": 0.002217494230204509, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0024301338006200712, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j1", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002217494230204509, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j1", "reverse_second_best_gap": 0.010441797813131683, "reverse_second_distance": 0.012659292043336191, "reverse_unambiguous": true, "second_best_gap": 0.018876506325286313, "second_distance": 0.02109400055549082, "unambiguous": true }, { "best_distance": 0.0015860349132434377, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0019236883765674229, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j0", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0015860349132434377, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j1", "reverse_second_best_gap": 0.0148767769775847, "reverse_second_distance": 0.016462811890828138, "reverse_unambiguous": true, "second_best_gap": 0.008857725975391991, "second_distance": 0.010443760888635429, "unambiguous": true }, { "best_distance": 0.0025283621198721657, "edge_kind": "map", "eigenfunction_mismatch": 0.005602301975668467, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j0", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0025283621198721657, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j1", "reverse_second_best_gap": 0.014876772457923118, "reverse_second_distance": 0.017405134577795283, "reverse_unambiguous": true, "second_best_gap": 0.005271627572526399, "second_distance": 0.007799989692398564, "unambiguous": true }, { "best_distance": 0.003405084486359313, "edge_kind": "map", "eigenfunction_mismatch": 0.005128140486500232, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j1", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.003405084486359313, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j1", "reverse_second_best_gap": 0.008066617433961216, "reverse_second_distance": 0.011471701920320529, "reverse_unambiguous": true, "second_best_gap": 0.021072776093777418, "second_distance": 0.02447786058013673, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.003405084486359313, "max_resolution_difference": 0.002217494230204509, "omega_imag": -0.008348056070913176, "omega_real": 4.859842256814932e-05, "outgoing_phase_residual": 6.716421948046483e-13, "pencil_residual": 4.927771239527064e-14, "reference_difference": 0.4154924132901101, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0024301338006200712, "transformed_residual": 0.4276092199070916, "unfactored_residual": 0.01724429848729335 }, { "N": 36, "accepted": false, "branch_id": "branch-0087", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 4.710695472657981e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.017769978645545e-09, "infinity_row_residual": 2.3617312386977868e-12, "ingoing_phase_residual": 1.8813873431769385e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.0060538158588770985, "matching_checks": [ { "best_distance": 0.006217235676932189, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0026473977060748055, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j0", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.006217235676932189, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.012372147865886644, "reverse_second_distance": 0.018589383542818833, "reverse_unambiguous": true, "second_best_gap": 0.0064420563664040024, "second_distance": 0.012659292043336191, "unambiguous": true }, { "best_distance": 0.004433026130953271, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002074322980933796, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j2", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004433026130953271, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.006010734757682158, "reverse_second_distance": 0.010443760888635429, "reverse_unambiguous": true, "second_best_gap": 0.011132745177759844, "second_distance": 0.015565771308713115, "unambiguous": true }, { "best_distance": 0.0070767970433427895, "edge_kind": "map", "eigenfunction_mismatch": 0.0060538158588770985, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j2", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0070767970433427895, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.0007231926490557745, "reverse_second_distance": 0.007799989692398564, "reverse_unambiguous": true, "second_best_gap": 0.0029647622930234112, "second_distance": 0.0100415593363662, "unambiguous": true }, { "best_distance": 0.009601112177097743, "edge_kind": "map", "eigenfunction_mismatch": 0.005644166869180123, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j0", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.009601112177097743, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j2", "reverse_second_best_gap": 0.005604394172636232, "reverse_second_distance": 0.015205506349733975, "reverse_unambiguous": true, "second_best_gap": 0.001870589743222786, "second_distance": 0.011471701920320529, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009601112177097743, "max_resolution_difference": 0.006217235676932189, "omega_imag": -0.023224829112678876, "omega_real": 6.537955662540496e-05, "outgoing_phase_residual": 2.414161050097336e-13, "pencil_residual": 3.045915944916501e-14, "reference_difference": 0.41290888568814055, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0026473977060748055, "transformed_residual": 0.0021774183894256068, "unfactored_residual": 0.00017422057615737249 }, { "N": 36, "accepted": false, "branch_id": "branch-0088", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 6.45375069595485e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.1479475669031178e-10, "infinity_row_residual": 3.995200398892338e-12, "ingoing_phase_residual": 3.8197892846898675e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.016568366126508915, "matching_checks": [ { "best_distance": 0.31764175344522116, "edge_kind": "resolution", "eigenfunction_mismatch": 0.023189187218165097, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j2", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.11418194595710351, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j4", "reverse_second_best_gap": 0.09819085422038606, "reverse_second_distance": 0.21237280017748958, "reverse_unambiguous": true, "second_best_gap": 0.019086969632519768, "second_distance": 0.33672872307774093, "unambiguous": true }, { "best_distance": 0.04173293251447349, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00047764347124057416, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j3", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04173293251447349, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j3", "reverse_second_best_gap": 0.15605013442852791, "reverse_second_distance": 0.1977830669430014, "reverse_unambiguous": true, "second_best_gap": 0.22763524570382274, "second_distance": 0.26936817821829623, "unambiguous": true }, { "best_distance": 0.09122762742274458, "edge_kind": "map", "eigenfunction_mismatch": 0.002305418242684154, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j3", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.09122762742274458, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j3", "reverse_second_best_gap": 0.10681293911220614, "reverse_second_distance": 0.19804056653495072, "reverse_unambiguous": true, "second_best_gap": 0.2062833394948504, "second_distance": 0.297510966917595, "unambiguous": true }, { "best_distance": 0.26040006565479046, "edge_kind": "map", "eigenfunction_mismatch": 0.016568366126508915, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j2", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.05882205318611325, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j4", "reverse_second_best_gap": 0.1366165412988482, "reverse_second_distance": 0.19543859448496145, "reverse_unambiguous": true, "second_best_gap": 0.07642355390042282, "second_distance": 0.3368236195552133, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.26040006565479046, "max_resolution_difference": 0.31764175344522116, "omega_imag": -0.4690672198900222, "omega_real": 0.00977055603537179, "outgoing_phase_residual": 1.1713161338129838e-14, "pencil_residual": 3.759311565641768e-15, "reference_difference": 0.5516783346450084, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.023189187218165097, "transformed_residual": 7.169399519598215e-13, "unfactored_residual": 1.1817856593344543e-14 }, { "N": 36, "accepted": false, "branch_id": "branch-0089", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 1.0306299609889324e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.2559588817743067e-10, "infinity_row_residual": 3.981925735153836e-12, "ingoing_phase_residual": 2.1847919838290492e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.009436853145991186, "matching_checks": [ { "best_distance": 0.11418194595710351, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0027928186209090766, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j2", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.11418194595710351, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j4", "reverse_second_best_gap": 0.09819085422038606, "reverse_second_distance": 0.21237280017748958, "reverse_unambiguous": true, "second_best_gap": 0.06079243018544947, "second_distance": 0.17497437614255298, "unambiguous": true }, { "best_distance": 0.14854966992432392, "edge_kind": "resolution", "eigenfunction_mismatch": 0.007007168178716605, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j5", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.10163693237301355, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.034753299524672876, "reverse_second_distance": 0.13639023189768643, "reverse_unambiguous": true, "second_best_gap": 0.04923339701867749, "second_distance": 0.1977830669430014, "unambiguous": true }, { "best_distance": 0.16941402171200326, "edge_kind": "map", "eigenfunction_mismatch": 0.009436853145991186, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j4", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.08758625350898805, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.03808851490963905, "reverse_second_distance": 0.1256747684186271, "reverse_unambiguous": true, "second_best_gap": 0.028626544822947464, "second_distance": 0.19804056653495072, "unambiguous": true }, { "best_distance": 0.05882205318611325, "edge_kind": "map", "eigenfunction_mismatch": 0.0007854666420624712, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j2", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05882205318611325, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j4", "reverse_second_best_gap": 0.1366165412988482, "reverse_second_distance": 0.19543859448496145, "reverse_unambiguous": true, "second_best_gap": 0.12025651964516348, "second_distance": 0.17907857283127673, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16941402171200326, "max_resolution_difference": 0.14854966992432392, "omega_imag": -0.6583370542660094, "omega_real": 0.13298668449041892, "outgoing_phase_residual": 8.148660741411905e-15, "pencil_residual": 2.5397787502540056e-15, "reference_difference": 0.6338399612284281, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.007007168178716605, "transformed_residual": 1.801715401942112e-13, "unfactored_residual": 2.3944156967422817e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0090", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 9.980086126454669e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.864309769773268e-11, "infinity_row_residual": 4.430792339426274e-12, "ingoing_phase_residual": 7.738271480858255e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0032182388994248523, "matching_checks": [ { "best_distance": 0.024979351188055443, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00021007659528304856, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j3", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.024979351188055443, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.08807411482878628, "reverse_second_distance": 0.11305346601684173, "reverse_unambiguous": true, "second_best_gap": 0.17723309955477715, "second_distance": 0.2022124507428326, "unambiguous": true }, { "best_distance": 0.10163693237301355, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004118684525844518, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j5", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.10163693237301355, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.034753299524672876, "reverse_second_distance": 0.13639023189768643, "reverse_unambiguous": true, "second_best_gap": 0.006860671559175011, "second_distance": 0.10849760393218856, "unambiguous": true }, { "best_distance": 0.08758625350898805, "edge_kind": "map", "eigenfunction_mismatch": 0.0032182388994248523, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j4", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.08758625350898805, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.03808851490963905, "reverse_second_distance": 0.1256747684186271, "reverse_unambiguous": true, "second_best_gap": 0.0018757713678814458, "second_distance": 0.0894620248768695, "unambiguous": true }, { "best_distance": 0.02563727371522841, "edge_kind": "map", "eigenfunction_mismatch": 0.00022326796014038308, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j3", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.02563727371522841, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.08615386390874785, "reverse_second_distance": 0.11179113762397626, "reverse_unambiguous": true, "second_best_gap": 0.16980132076973303, "second_distance": 0.19543859448496145, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.08758625350898805, "max_resolution_difference": 0.10163693237301355, "omega_imag": -0.6695025949789503, "omega_real": 0.297489817553432, "outgoing_phase_residual": 7.4517388679806e-15, "pencil_residual": 2.414209193898571e-15, "reference_difference": 0.5926361850159321, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004118684525844518, "transformed_residual": 1.8949328157253618e-13, "unfactored_residual": 2.400643123247382e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0091", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j6", "case": "kerr-radial", "coefficient_tail": 1.6009926326517238e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.9098559290970887e-11, "infinity_row_residual": 1.108432543110779e-11, "ingoing_phase_residual": 3.4889549196927707e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 3.3228153607511857e-06, "matching_checks": [ { "best_distance": 0.0002824947162940809, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1600641081077612e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j5", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0002824947162940809, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j6", "reverse_second_best_gap": 0.20192995602653852, "reverse_second_distance": 0.2022124507428326, "reverse_unambiguous": true, "second_best_gap": 0.20418546165582913, "second_distance": 0.2044679563721232, "unambiguous": true }, { "best_distance": 0.002638079934520479, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0066132544395145e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j6", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002638079934520479, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j6", "reverse_second_best_gap": 0.19723647789187232, "reverse_second_distance": 0.1998745578263928, "reverse_unambiguous": true, "second_best_gap": 0.13375215196316595, "second_distance": 0.13639023189768643, "unambiguous": true }, { "best_distance": 0.0015180992791577373, "edge_kind": "map", "eigenfunction_mismatch": 3.3228153607511857e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j5", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0015180992791577373, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j6", "reverse_second_best_gap": 0.2000823315656477, "reverse_second_distance": 0.20160043084480544, "reverse_unambiguous": true, "second_best_gap": 0.12415666913946936, "second_distance": 0.1256747684186271, "unambiguous": true }, { "best_distance": 0.000377084331486143, "edge_kind": "map", "eigenfunction_mismatch": 2.0678255774342347e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j5", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.000377084331486143, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j6", "reverse_second_best_gap": 0.2018566226356568, "reverse_second_distance": 0.20223370696714293, "reverse_unambiguous": true, "second_best_gap": 0.20409144760638093, "second_distance": 0.20446853193786707, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0015180992791577373, "max_resolution_difference": 0.002638079934520479, "omega_imag": -0.47328081402117134, "omega_real": 0.3461918006399593, "outgoing_phase_residual": 9.481363131331599e-15, "pencil_residual": 4.557073721995359e-15, "reference_difference": 0.39093726438866966, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.0066132544395145e-05, "transformed_residual": 5.361545006502478e-13, "unfactored_residual": 7.30421616763125e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0092", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j7", "case": "kerr-radial", "coefficient_tail": 1.4085432466662947e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.487460157957561e-11, "infinity_row_residual": 2.7438902880333107e-12, "ingoing_phase_residual": 6.876672398791359e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0026528153049999448, "matching_checks": [ { "best_distance": 0.11305346601684173, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0036252746846662243, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j3", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.024979351188055443, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.08807411482878628, "reverse_second_distance": 0.11305346601684173, "reverse_unambiguous": true, "second_best_gap": 0.01604125617368167, "second_distance": 0.1290947221905234, "unambiguous": true }, { "best_distance": 0.08911589553026288, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002548904030545751, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j8", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08911589553026288, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j7", "reverse_second_best_gap": 0.019381708401925685, "reverse_second_distance": 0.10849760393218856, "reverse_unambiguous": true, "second_best_gap": 0.08049113280826771, "second_distance": 0.16960702833853059, "unambiguous": true }, { "best_distance": 0.0915412233946822, "edge_kind": "map", "eigenfunction_mismatch": 0.0026528153049999448, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j6", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0894620248768695, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j5", "reverse_second_best_gap": 0.0020791985178127, "reverse_second_distance": 0.0915412233946822, "reverse_unambiguous": true, "second_best_gap": 0.025836884599428817, "second_distance": 0.11737810799411101, "unambiguous": true }, { "best_distance": 0.10865698370434819, "edge_kind": "map", "eigenfunction_mismatch": 0.002532050309772327, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j4", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.10865698370434819, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j7", "reverse_second_best_gap": 0.05739676042984805, "reverse_second_distance": 0.16605374413419624, "reverse_unambiguous": true, "second_best_gap": 0.0031341539196280688, "second_distance": 0.11179113762397626, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10865698370434819, "max_resolution_difference": 0.11305346601684173, "omega_imag": -0.7913204383482025, "omega_real": 0.36108363909990193, "outgoing_phase_residual": 6.281596349703289e-15, "pencil_residual": 1.640032866509741e-15, "reference_difference": 0.7056233460442709, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0036252746846662243, "transformed_residual": 1.0390348571492076e-13, "unfactored_residual": 1.2465568239372695e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j8", "case": "kerr-radial", "coefficient_tail": 3.6603231795495884e-14, "failure_reasons": [ "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.38026450121657e-11, "infinity_row_residual": 4.164674763723763e-11, "ingoing_phase_residual": 1.7544958206705276e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.1884160322495063e-11, "matching_checks": [ { "best_distance": 1.26621950685733e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 5.880740339136992e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j6", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.26621950685733e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j8", "reverse_second_best_gap": 0.18670676923138801, "reverse_second_distance": 0.18670803545089487, "reverse_unambiguous": true, "second_best_gap": 0.1867076960170258, "second_distance": 0.18670896223653266, "unambiguous": true }, { "best_distance": 6.86319397691814e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7277912434110476e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j7", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.86319397691814e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j8", "reverse_second_best_gap": 0.18669974996272248, "reverse_second_distance": 0.1867066131566994, "reverse_unambiguous": true, "second_best_gap": 0.18670210189492534, "second_distance": 0.18670896508890225, "unambiguous": true }, { "best_distance": 1.1211705044525554e-06, "edge_kind": "map", "eigenfunction_mismatch": 4.610867243570738e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j7", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1211705044525554e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j8", "reverse_second_best_gap": 0.18670816489877481, "reverse_second_distance": 0.18670928606927928, "reverse_unambiguous": true, "second_best_gap": 0.18670784122416206, "second_distance": 0.18670896239466653, "unambiguous": true }, { "best_distance": 1.7999929375044884e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.1884160322495063e-11, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j6", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.7999929375044884e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j8", "reverse_second_best_gap": 0.18670566841770023, "reverse_second_distance": 0.18670746841063773, "reverse_unambiguous": true, "second_best_gap": 0.18670716177428626, "second_distance": 0.18670896176722376, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.7999929375044884e-06, "max_resolution_difference": 6.86319397691814e-06, "omega_imag": -0.272574787547704, "omega_real": 0.3852281136745317, "outgoing_phase_residual": 1.191939596361987e-14, "pencil_residual": 8.830731435619578e-15, "reference_difference": 0.18670896205775694, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.7277912434110476e-10, "transformed_residual": 1.0282668935569333e-12, "unfactored_residual": 2.3072884142794083e-14 }, { "N": 36, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j9", "case": "kerr-radial", "coefficient_tail": 4.9557762817559625e-14, "failure_reasons": [], "horizon_row_residual": 2.41529015116682e-10, "infinity_row_residual": 5.3982602318936636e-11, "ingoing_phase_residual": 1.1289794473699764e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0, "matching_checks": [ { "best_distance": 1.8055744651745998e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.0:j7", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.8055744651745998e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j9", "reverse_second_best_gap": 0.1867089604309582, "reverse_second_distance": 0.18670896223653266, "reverse_unambiguous": true, "second_best_gap": 0.1867080336453204, "second_distance": 0.18670803545089487, "unambiguous": true }, { "best_distance": 8.81698743358859e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.0:j9", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.81698743358859e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j9", "reverse_second_best_gap": 0.1867089562719148, "reverse_second_distance": 0.18670896508890225, "reverse_unambiguous": true, "second_best_gap": 0.18670660433971195, "second_distance": 0.1867066131566994, "unambiguous": true }, { "best_distance": 4.034819257045228e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j8", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.034819257045228e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j9", "reverse_second_best_gap": 0.18670895835984727, "reverse_second_distance": 0.18670896239466653, "reverse_unambiguous": true, "second_best_gap": 0.18670928203446002, "second_distance": 0.18670928606927928, "unambiguous": true }, { "best_distance": 2.945349697540549e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j7", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.945349697540549e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j9", "reverse_second_best_gap": 0.18670895882187408, "reverse_second_distance": 0.18670896176722376, "reverse_unambiguous": true, "second_best_gap": 0.18670746546528805, "second_distance": 0.18670746841063773, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.034819257045228e-09, "max_resolution_difference": 8.81698743358859e-09, "omega_imag": -0.08725714570727264, "omega_real": 0.4079791106751691, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.760047944174856e-14, "reference_difference": 2.1873824414494596e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 2.220446049250313e-16, "transformed_residual": 2.0822689410812195e-12, "unfactored_residual": 1.0090403021723052e-13 }, { "N": 36, "accepted": false, "branch_id": "branch-0086", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.0:j10", "case": "kerr-radial", "coefficient_tail": 1.7309857313465194e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 2.4383697256724708e-11, "infinity_row_residual": 1.547823817716729e-12, "ingoing_phase_residual": 5.220584009587018e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.005047934640047047, "matching_checks": [ { "best_distance": 0.16191542044275742, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004683592809560655, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.0:j4", "peer_configuration": [ "kerr-radial", 32, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.1290947221905234, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j7", "reverse_second_best_gap": 0.03282069825223402, "reverse_second_distance": 0.16191542044275742, "reverse_unambiguous": true, "second_best_gap": 0.15188140361384772, "second_distance": 0.31379682405660514, "unambiguous": true }, { "best_distance": 0.07317360743083477, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001182135530707451, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j10", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.07317360743083477, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j10", "reverse_second_best_gap": 0.09643342090769581, "reverse_second_distance": 0.16960702833853059, "reverse_unambiguous": true, "second_best_gap": 0.18944279769794148, "second_distance": 0.26261640512877626, "unambiguous": true }, { "best_distance": 0.10679338827019864, "edge_kind": "map", "eigenfunction_mismatch": 0.002516561191785227, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j9", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10679338827019864, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j10", "reverse_second_best_gap": 0.010584719723912367, "reverse_second_distance": 0.11737810799411101, "reverse_unambiguous": true, "second_best_gap": 0.16842608776824264, "second_distance": 0.27521947603844127, "unambiguous": true }, { "best_distance": 0.16605374413419624, "edge_kind": "map", "eigenfunction_mismatch": 0.005047934640047047, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j4", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.10865698370434819, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.0:j7", "reverse_second_best_gap": 0.05739676042984805, "reverse_second_distance": 0.16605374413419624, "reverse_unambiguous": true, "second_best_gap": 0.14642845129929924, "second_distance": 0.3124821954334955, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.16605374413419624, "max_resolution_difference": 0.16191542044275742, "omega_imag": -0.9650153421888265, "omega_real": 0.4617214880851382, "outgoing_phase_residual": 4.944233368088354e-15, "pencil_residual": 9.942691319019315e-16, "reference_difference": 0.8794018970506107, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004683592809560655, "transformed_residual": 5.288010083980975e-14, "unfactored_residual": 6.069316812119441e-16 }, { "N": 36, "accepted": false, "branch_id": "branch-0093", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 4.31763173242603e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.0442590223586365e-09, "infinity_row_residual": 9.495470174902862e-12, "ingoing_phase_residual": 1.9952572859850332e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.005644166869180123, "matching_checks": [ { "best_distance": 0.01792701307379854, "edge_kind": "resolution", "eigenfunction_mismatch": 0.02843380725844502, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0031457798835120383, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j1", "reverse_second_best_gap": 0.0147812331902865, "reverse_second_distance": 0.01792701307379854, "reverse_unambiguous": true, "second_best_gap": 0.3936240937613593, "second_distance": 0.41155110683515783, "unambiguous": true }, { "best_distance": 0.006319357681803772, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002172053193196355, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.006319357681803772, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j0", "reverse_second_best_gap": 0.008434095556341142, "reverse_second_distance": 0.014753453238144913, "reverse_unambiguous": true, "second_best_gap": 0.016996992833623603, "second_distance": 0.023316350515427374, "unambiguous": true }, { "best_distance": 0.0004407806626232714, "edge_kind": "map", "eigenfunction_mismatch": 8.535812060617154e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j1", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0004407806626232714, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j0", "reverse_second_best_gap": 0.02107247621839105, "reverse_second_distance": 0.021513256881014322, "reverse_unambiguous": true, "second_best_gap": 0.016237114497620442, "second_distance": 0.016677895160243712, "unambiguous": true }, { "best_distance": 0.009601112177097743, "edge_kind": "map", "eigenfunction_mismatch": 0.005644166869180123, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j2", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009601112177097743, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j0", "reverse_second_best_gap": 0.001870589743222786, "reverse_second_distance": 0.011471701920320529, "reverse_unambiguous": true, "second_best_gap": 0.005604394172636232, "second_distance": 0.015205506349733975, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.009601112177097743, "max_resolution_difference": 0.01792701307379854, "omega_imag": -0.03282591609576228, "omega_real": 4.3384546258413533e-05, "outgoing_phase_residual": 1.7080794635927203e-13, "pencil_residual": 2.6269778733929583e-14, "reference_difference": 0.4115511070384937, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.02843380725844502, "transformed_residual": 0.0014739252072951188, "unfactored_residual": 0.000129559776366933 }, { "N": 36, "accepted": false, "branch_id": "branch-0094", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 0.0023942321920220767, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.506777635514657e-09, "infinity_row_residual": 2.604909558205761e-12, "ingoing_phase_residual": 1.810111317267754e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.005128140486500232, "matching_checks": [ { "best_distance": 0.0031457798835120383, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0025146334268822956, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j0", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0031457798835120383, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j1", "reverse_second_best_gap": 0.0147812331902865, "reverse_second_distance": 0.01792701307379854, "reverse_unambiguous": true, "second_best_gap": 0.4117051949558572, "second_distance": 0.4148509748393693, "unambiguous": true }, { "best_distance": 0.00224356812435003, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0019788753499839773, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j0", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00224356812435003, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j1", "reverse_second_best_gap": 0.021072782391077342, "reverse_second_distance": 0.023316350515427374, "reverse_unambiguous": true, "second_best_gap": 0.012509885113794883, "second_distance": 0.014753453238144913, "unambiguous": true }, { "best_distance": 0.004394906333580259, "edge_kind": "map", "eigenfunction_mismatch": 0.004516297634358457, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j2", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004394906333580259, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j1", "reverse_second_best_gap": 0.012282988826663453, "reverse_second_distance": 0.016677895160243712, "reverse_unambiguous": true, "second_best_gap": 0.0015385381253546892, "second_distance": 0.005933444458934949, "unambiguous": true }, { "best_distance": 0.003405084486359313, "edge_kind": "map", "eigenfunction_mismatch": 0.005128140486500232, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j1", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.003405084486359313, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j1", "reverse_second_best_gap": 0.021072776093777418, "reverse_second_distance": 0.02447786058013673, "reverse_unambiguous": true, "second_best_gap": 0.008066617433961216, "second_distance": 0.011471701920320529, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004394906333580259, "max_resolution_difference": 0.0031457798835120383, "omega_imag": -0.011753130278358457, "omega_real": 5.6965084731881194e-05, "outgoing_phase_residual": 4.770591051319553e-13, "pencil_residual": 2.6592188919713584e-14, "reference_difference": 0.4148509750059352, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0025146334268822956, "transformed_residual": 0.2425009668815998, "unfactored_residual": 0.01442987269746762 }, { "N": 36, "accepted": false, "branch_id": "branch-0095", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 1.8060805390601124e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 7.576173799490886e-11, "infinity_row_residual": 3.9551339933246906e-11, "ingoing_phase_residual": 2.2598957165564754e-05, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.014204247929845426, "matching_checks": [ { "best_distance": 0.12195817202124921, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0028660360815060404, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j1", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.12195817202124921, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j2", "reverse_second_best_gap": 0.18039997451141115, "reverse_second_distance": 0.30235814653266035, "reverse_unambiguous": true, "second_best_gap": 0.07613912152492937, "second_distance": 0.19809729354617858, "unambiguous": true }, { "best_distance": 0.10748055252983506, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002595761428660137, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j3", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.09733493739560545, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j3", "reverse_second_best_gap": 0.01014561513422961, "reverse_second_distance": 0.10748055252983506, "reverse_unambiguous": true, "second_best_gap": 0.07395957287190243, "second_distance": 0.18144012540173748, "unambiguous": true }, { "best_distance": 0.21938509070697834, "edge_kind": "map", "eigenfunction_mismatch": 0.014204247929845426, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j4", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.11228248003562476, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j3", "reverse_second_best_gap": 0.013547496475915147, "reverse_second_distance": 0.1258299765115399, "reverse_unambiguous": true, "second_best_gap": 0.028594342735592998, "second_distance": 0.24797943344257134, "unambiguous": true }, { "best_distance": 0.05882205318611325, "edge_kind": "map", "eigenfunction_mismatch": 0.0007854666420626932, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j4", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05882205318611325, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j2", "reverse_second_best_gap": 0.12025651964516348, "reverse_second_distance": 0.17907857283127673, "reverse_unambiguous": true, "second_best_gap": 0.1366165412988482, "second_distance": 0.19543859448496145, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.21938509070697834, "max_resolution_difference": 0.12195817202124921, "omega_imag": -0.7108452794195068, "omega_real": 0.10647404161462175, "outgoing_phase_residual": 7.62672512815188e-15, "pencil_residual": 7.439863409544096e-15, "reference_difference": 0.6926524866089997, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0028660360815060404, "transformed_residual": 2.5110862243825056e-13, "unfactored_residual": 3.2576600280197278e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0096", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 6.5080738300460775e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.880566469168322e-11, "infinity_row_residual": 3.9158961408951844e-11, "ingoing_phase_residual": 7.747552828025619e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0019142502939011319, "matching_checks": [ { "best_distance": 0.005162066216863123, "edge_kind": "resolution", "eigenfunction_mismatch": 8.712224335738483e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j3", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.005162066216863123, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j3", "reverse_second_best_gap": 0.19250892918534834, "reverse_second_distance": 0.19767099540221147, "reverse_unambiguous": true, "second_best_gap": 0.21720055988669038, "second_distance": 0.2223626261035535, "unambiguous": true }, { "best_distance": 0.0073830450286162756, "edge_kind": "resolution", "eigenfunction_mismatch": 1.766755450094415e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j4", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0073830450286162756, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j3", "reverse_second_best_gap": 0.18201620250182246, "reverse_second_distance": 0.18939924753043874, "reverse_unambiguous": true, "second_best_gap": 0.08995189236698917, "second_distance": 0.09733493739560545, "unambiguous": true }, { "best_distance": 0.07270421686535611, "edge_kind": "map", "eigenfunction_mismatch": 0.0019142502939011319, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j6", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.07270421686535611, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j3", "reverse_second_best_gap": 0.12617338014947535, "reverse_second_distance": 0.19887759701483146, "reverse_unambiguous": true, "second_best_gap": 0.03957826317026865, "second_distance": 0.11228248003562476, "unambiguous": true }, { "best_distance": 0.02563727371522841, "edge_kind": "map", "eigenfunction_mismatch": 0.0002232679601404941, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j5", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.02563727371522841, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j3", "reverse_second_best_gap": 0.16980132076973303, "reverse_second_distance": 0.19543859448496145, "reverse_unambiguous": true, "second_best_gap": 0.08615386390874785, "second_distance": 0.11179113762397626, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.07270421686535611, "max_resolution_difference": 0.0073830450286162756, "omega_imag": -0.692524067124086, "omega_real": 0.3087717333402247, "outgoing_phase_residual": 7.102824795756441e-15, "pencil_residual": 6.912335152017317e-15, "reference_difference": 0.6133434198441624, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 1.766755450094415e-05, "transformed_residual": 2.557397199916061e-13, "unfactored_residual": 3.221840945852282e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0097", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 9.781337574131355e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.2473197704511186e-11, "infinity_row_residual": 2.7700917255547025e-11, "ingoing_phase_residual": 7.400855609541013e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.004563628346027637, "matching_checks": [ { "best_distance": 0.03390776903234265, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00020420463654768906, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j2", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.03390776903234265, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j4", "reverse_second_best_gap": 0.18845485707121085, "reverse_second_distance": 0.2223626261035535, "reverse_unambiguous": true, "second_best_gap": 0.16376322636986884, "second_distance": 0.19767099540221147, "unambiguous": true }, { "best_distance": 0.06913889467539085, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009227648722692772, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j6", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.06913889467539085, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j4", "reverse_second_best_gap": 0.13756031626743404, "reverse_second_distance": 0.20669921094282487, "reverse_unambiguous": true, "second_best_gap": 0.1202603528550479, "second_distance": 0.18939924753043874, "unambiguous": true }, { "best_distance": 0.14679572103764968, "edge_kind": "map", "eigenfunction_mismatch": 0.004563628346027637, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j9", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.14679572103764968, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j4", "reverse_second_best_gap": 0.0759041725206629, "reverse_second_distance": 0.22269989355831257, "reverse_unambiguous": true, "second_best_gap": 0.05208187597718178, "second_distance": 0.19887759701483146, "unambiguous": true }, { "best_distance": 0.10865698370434819, "edge_kind": "map", "eigenfunction_mismatch": 0.002532050309772327, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j7", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.10865698370434819, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j4", "reverse_second_best_gap": 0.0031341539196280688, "reverse_second_distance": 0.11179113762397626, "reverse_unambiguous": true, "second_best_gap": 0.05739676042984805, "second_distance": 0.16605374413419624, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14679572103764968, "max_resolution_difference": 0.06913889467539085, "omega_imag": -0.8892315833329342, "omega_real": 0.31396943958950113, "outgoing_phase_residual": 5.711177596445608e-15, "pencil_residual": 6.770154424359876e-15, "reference_difference": 0.8074656760830404, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0009227648722692772, "transformed_residual": 1.453441543104602e-13, "unfactored_residual": 1.7713082543451556e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0098", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j5", "case": "kerr-radial", "coefficient_tail": 1.187503737030668e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.5117836292268324e-11, "infinity_row_residual": 5.5818237597966446e-11, "ingoing_phase_residual": 3.487960830514055e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 5.140102129819191e-06, "matching_checks": [ { "best_distance": 7.860905785576303e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 8.99832364176234e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N32:c1.4:j4", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.860905785576303e-05, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j5", "reverse_second_best_gap": 0.2043272789852446, "reverse_second_distance": 0.20440588804310036, "reverse_unambiguous": true, "second_best_gap": 0.2043510516089235, "second_distance": 0.20442966066677926, "unambiguous": true }, { "best_distance": 0.00017129516785721271, "edge_kind": "resolution", "eigenfunction_mismatch": 4.2708177105943435e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j5", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00017129516785721271, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j5", "reverse_second_best_gap": 0.20426098224723632, "reverse_second_distance": 0.20443227741509354, "reverse_unambiguous": true, "second_best_gap": 0.2042577308921667, "second_distance": 0.20442902606002392, "unambiguous": true }, { "best_distance": 0.0018866924908856554, "edge_kind": "map", "eigenfunction_mismatch": 5.140102129819191e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j5", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0018866924908856554, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j5", "reverse_second_best_gap": 0.20309409416077687, "reverse_second_distance": 0.20498078665166253, "reverse_unambiguous": true, "second_best_gap": 0.12394328402065424, "second_distance": 0.1258299765115399, "unambiguous": true }, { "best_distance": 0.000377084331486143, "edge_kind": "map", "eigenfunction_mismatch": 2.0678255774342347e-07, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j6", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.000377084331486143, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j5", "reverse_second_best_gap": 0.20409144760638093, "reverse_second_distance": 0.20446853193786707, "reverse_unambiguous": true, "second_best_gap": 0.2018566226356568, "second_distance": 0.20223370696714293, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0018866924908856554, "max_resolution_difference": 0.00017129516785721271, "omega_imag": -0.4733142588202103, "omega_real": 0.3465673988807294, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 6.187653363099544e-15, "reference_difference": 0.3909111068260234, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.2708177105943435e-08, "transformed_residual": 4.984048753025692e-13, "unfactored_residual": 6.802550339446877e-15 }, { "N": 36, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j6", "case": "kerr-radial", "coefficient_tail": 2.4790218845110108e-14, "failure_reasons": [ "reference_not_confirmed" ], "horizon_row_residual": 4.198483368430607e-11, "infinity_row_residual": 2.06147772971702e-11, "ingoing_phase_residual": 1.7544901984279833e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 2.7967517191029856e-11, "matching_checks": [ { "best_distance": 4.2711305898332197e-07, "edge_kind": "resolution", "eigenfunction_mismatch": 6.690203946391193e-13, "failure_reasons": [], "nearest_index": 5, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j5", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.2711305898332197e-07, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j6", "reverse_second_best_gap": 0.18670735799155422, "reverse_second_distance": 0.1867077851046132, "reverse_unambiguous": true, "second_best_gap": 0.18670704130002178, "second_distance": 0.18670746841308075, "unambiguous": true }, { "best_distance": 1.0454757160991712e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 4.008904319618978e-12, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.4:j7", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0454757160991712e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j6", "reverse_second_best_gap": 0.18670736419072834, "reverse_second_distance": 0.18670840966644445, "reverse_unambiguous": true, "second_best_gap": 0.18670642387176448, "second_distance": 0.1867074693474806, "unambiguous": true }, { "best_distance": 2.761297330551414e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.7967517191029856e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j7", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.761297330551414e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j6", "reverse_second_best_gap": 0.18670652520676173, "reverse_second_distance": 0.18670928650409227, "reverse_unambiguous": true, "second_best_gap": 0.18670470817560067, "second_distance": 0.1867074694729312, "unambiguous": true }, { "best_distance": 1.7999929375044884e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.1884160322495063e-11, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j8", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.7999929375044884e-06, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j6", "reverse_second_best_gap": 0.18670716177428626, "reverse_second_distance": 0.18670896176722376, "reverse_unambiguous": true, "second_best_gap": 0.18670566841770023, "second_distance": 0.18670746841063773, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.761297330551414e-06, "max_resolution_difference": 1.0454757160991712e-06, "omega_imag": -0.27257342827847314, "omega_real": 0.3852292936583168, "outgoing_phase_residual": 1.1951281422993077e-14, "pencil_residual": 3.2814578617593297e-15, "reference_difference": 0.1867074691360118, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.008904319618978e-12, "transformed_residual": 9.702332819456105e-13, "unfactored_residual": 2.177977423106101e-14 }, { "N": 36, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N36:c1.4:j7", "case": "kerr-radial", "coefficient_tail": 2.4412821295837768e-14, "failure_reasons": [], "horizon_row_residual": 5.653140910462144e-11, "infinity_row_residual": 9.170166703513618e-11, "ingoing_phase_residual": 1.1289794395957426e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.1102230246251565e-16, "matching_checks": [ { "best_distance": 7.711632719147203e-10, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N32:c1.4:j6", "peer_configuration": [ "kerr-radial", 32, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.711632719147203e-10, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j7", "reverse_second_best_gap": 0.18670746764191748, "reverse_second_distance": 0.18670746841308075, "reverse_unambiguous": true, "second_best_gap": 0.18670778433344992, "second_distance": 0.1867077851046132, "unambiguous": true }, { "best_distance": 1.8754660432961444e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.4:j8", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.8754660432961444e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j7", "reverse_second_best_gap": 0.18670746747201455, "reverse_second_distance": 0.1867074693474806, "reverse_unambiguous": true, "second_best_gap": 0.18670840779097841, "second_distance": 0.18670840966644445, "unambiguous": true }, { "best_distance": 1.1631438308203602e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j8", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.1631438308203602e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j7", "reverse_second_best_gap": 0.18670746830978738, "reverse_second_distance": 0.1867074694729312, "reverse_unambiguous": true, "second_best_gap": 0.18670928534094844, "second_distance": 0.18670928650409227, "unambiguous": true }, { "best_distance": 2.945349697540549e-09, "edge_kind": "map", "eigenfunction_mismatch": 0.0, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j9", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.945349697540549e-09, "reverse_nearest_candidate_id": "kerr-radial:N36:c1.4:j7", "reverse_second_best_gap": 0.18670746546528805, "reverse_second_distance": 0.18670746841063773, "reverse_unambiguous": true, "second_best_gap": 0.18670895882187408, "second_distance": 0.18670896176722376, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.945349697540549e-09, "max_resolution_difference": 1.8754660432961444e-09, "omega_imag": -0.087257144920717, "omega_real": 0.40797910783678665, "outgoing_phase_residual": 1.359550145226961e-14, "pencil_residual": 4.871109075554978e-15, "reference_difference": 8.977745553831444e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 0.0, "transformed_residual": 1.3246589503646468e-12, "unfactored_residual": 6.417302235417535e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0099", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 0.002324350068097187, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.5059994344294874e-08, "infinity_row_residual": 5.210744701308636e-13, "ingoing_phase_residual": 1.801925325090658e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.020877326155432585, "matching_checks": [ { "best_distance": 0.0011019189156953344, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0018819039624224931, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j0", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0011019189156953344, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j0", "reverse_second_best_gap": 0.006162192129924757, "reverse_second_distance": 0.007264111045620091, "reverse_unambiguous": true, "second_best_gap": 0.010328342758811346, "second_distance": 0.01143026167450668, "unambiguous": true }, { "best_distance": 0.0008164406513071126, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015331327636893821, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j0", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0008164406513071126, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j0", "reverse_second_best_gap": 0.008366023942067695, "reverse_second_distance": 0.009182464593374807, "reverse_unambiguous": true, "second_best_gap": 0.005281419517053804, "second_distance": 0.0060978601683609164, "unambiguous": true }, { "best_distance": 0.002044246197676619, "edge_kind": "map", "eigenfunction_mismatch": 0.005530606356049517, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j0", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002044246197676619, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j0", "reverse_second_best_gap": 0.0042775396553924455, "reverse_second_distance": 0.006321785853069065, "reverse_unambiguous": true, "second_best_gap": 0.012029784356700858, "second_distance": 0.014074030554377477, "unambiguous": true }, { "best_distance": 0.0047917964850391105, "edge_kind": "map", "eigenfunction_mismatch": 0.020877326155432585, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j0", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0035742381048143824, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j2", "reverse_second_best_gap": 0.001217558380224728, "reverse_second_distance": 0.0047917964850391105, "reverse_unambiguous": true, "second_best_gap": 0.016996993364057807, "second_distance": 0.021788789849096917, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0047917964850391105, "max_resolution_difference": 0.0011019189156953344, "omega_imag": -0.004717812013344615, "omega_real": 3.2302749605619164e-05, "outgoing_phase_residual": 1.1884446067336874e-12, "pencil_residual": 4.6337060378240396e-14, "reference_difference": 0.4162130919900389, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0018819039624224931, "transformed_residual": 0.7700591642219118, "unfactored_residual": 0.029293741097846077 }, { "N": 40, "accepted": false, "branch_id": "branch-0100", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 8.830317372583209e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.7217374593015994e-09, "infinity_row_residual": 1.677990634469786e-12, "ingoing_phase_residual": 2.256319086854266e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.016378744218374486, "matching_checks": [ { "best_distance": 0.01439441654749204, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006238965034048194, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j1", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.006337539015523505, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.008056877531968536, "reverse_second_distance": 0.01439441654749204, "reverse_unambiguous": true, "second_best_gap": 0.01711834562690079, "second_distance": 0.031512762174392826, "unambiguous": true }, { "best_distance": 0.00832865601439166, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017928096922088521, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j2", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00832865601439166, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j1", "reverse_second_best_gap": 0.00407464771093289, "reverse_second_distance": 0.01240330372532455, "reverse_unambiguous": true, "second_best_gap": 0.017085839698863285, "second_distance": 0.025414495713254947, "unambiguous": true }, { "best_distance": 0.008870200651884163, "edge_kind": "map", "eigenfunction_mismatch": 0.0020600298772128767, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j1", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.008870200651884163, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j1", "reverse_second_best_gap": 0.00299155334400715, "reverse_second_distance": 0.011861753995891313, "reverse_unambiguous": true, "second_best_gap": 0.01999879481126762, "second_distance": 0.028868995463151782, "unambiguous": true }, { "best_distance": 0.02115421511714662, "edge_kind": "map", "eigenfunction_mismatch": 0.016378744218374486, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0004223012003494134, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.01300048042508324, "reverse_second_distance": 0.013422781625432654, "reverse_unambiguous": true, "second_best_gap": 0.016997003848205097, "second_distance": 0.038151218965351716, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.02115421511714662, "max_resolution_difference": 0.01439441654749204, "omega_imag": -0.04766078246915428, "omega_real": 3.5298371136623414e-05, "outgoing_phase_residual": 1.1761786079456364e-13, "pencil_residual": 1.8358613164375036e-14, "reference_difference": 0.4098609816790197, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006238965034048194, "transformed_residual": 2.768130474524244e-06, "unfactored_residual": 2.4602216935923997e-07 }, { "N": 40, "accepted": false, "branch_id": "branch-0104", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 4.66792787714401e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.485968991867785e-09, "infinity_row_residual": 7.166297052783252e-13, "ingoing_phase_residual": 1.814752458530643e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.005913559004686486, "matching_checks": [ { "best_distance": 0.0030642361466548845, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001992281404862517, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j2", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0030642361466548845, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j2", "reverse_second_best_gap": 0.007716583029708403, "reverse_second_distance": 0.010780819176363287, "reverse_unambiguous": true, "second_best_gap": 0.004199874898965207, "second_distance": 0.007264111045620091, "unambiguous": true }, { "best_distance": 0.002268166731138113, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0016095815617148679, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j1", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002268166731138113, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j2", "reverse_second_best_gap": 0.0038296934372228034, "reverse_second_distance": 0.0060978601683609164, "reverse_unambiguous": true, "second_best_gap": 0.006894340122660206, "second_distance": 0.00916250685379832, "unambiguous": true }, { "best_distance": 0.005708007462186489, "edge_kind": "map", "eigenfunction_mismatch": 0.005913559004686486, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j2", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.005708007462186489, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j2", "reverse_second_best_gap": 0.002429040714889739, "reverse_second_distance": 0.008137048177076228, "reverse_unambiguous": true, "second_best_gap": 0.000613778390882576, "second_distance": 0.006321785853069065, "unambiguous": true }, { "best_distance": 0.0035742381048143824, "edge_kind": "map", "eigenfunction_mismatch": 0.004494451463876059, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j0", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0035742381048143824, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j2", "reverse_second_best_gap": 0.001217558380224728, "reverse_second_distance": 0.0047917964850391105, "reverse_unambiguous": true, "second_best_gap": 0.009848543520618272, "second_distance": 0.013422781625432654, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.005708007462186489, "max_resolution_difference": 0.0030642361466548845, "omega_imag": -0.0130838018889622, "omega_real": 5.715869064326161e-05, "outgoing_phase_residual": 4.285387501015255e-13, "pencil_residual": 3.6441610377579425e-14, "reference_difference": 0.4146106632746204, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001992281404862517, "transformed_residual": 0.00544334380581926, "unfactored_residual": 0.00032365242744367395 }, { "N": 40, "accepted": false, "branch_id": "branch-0105", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 1.7819950483793813e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.744183297582383e-09, "infinity_row_residual": 1.2046315798661715e-12, "ingoing_phase_residual": 1.9194581218361292e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00600365527773683, "matching_checks": [ { "best_distance": 0.006337539015523505, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002124386304857895, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j1", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006337539015523505, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.008056877531968536, "reverse_second_distance": 0.01439441654749204, "reverse_unambiguous": true, "second_best_gap": 0.0044432801608397824, "second_distance": 0.010780819176363287, "unambiguous": true }, { "best_distance": 0.00468254635439074, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017091320671608345, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j3", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00468254635439074, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.004479960499407579, "reverse_second_distance": 0.00916250685379832, "reverse_unambiguous": true, "second_best_gap": 0.00772075737093381, "second_distance": 0.01240330372532455, "unambiguous": true }, { "best_distance": 0.008137048177076228, "edge_kind": "map", "eigenfunction_mismatch": 0.00600365527773683, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j2", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.005708007462186489, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j2", "reverse_second_best_gap": 0.002429040714889739, "reverse_second_distance": 0.008137048177076228, "reverse_unambiguous": true, "second_best_gap": 0.003724705818815085, "second_distance": 0.011861753995891313, "unambiguous": true }, { "best_distance": 0.0004223012003494134, "edge_kind": "map", "eigenfunction_mismatch": 1.1798997441636594e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0004223012003494134, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.01300048042508324, "reverse_second_distance": 0.013422781625432654, "reverse_unambiguous": true, "second_best_gap": 0.01699698840570938, "second_distance": 0.017419289606058794, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.008137048177076228, "max_resolution_difference": 0.006337539015523505, "omega_imag": -0.02692885114670979, "omega_real": 6.628038719321988e-05, "outgoing_phase_residual": 2.082052795622418e-13, "pencil_residual": 2.5385931882198186e-14, "reference_difference": 0.41234982541773063, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002124386304857895, "transformed_residual": 9.101266900119726e-05, "unfactored_residual": 7.64954671496536e-06 }, { "N": 40, "accepted": false, "branch_id": "branch-0106", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 6.775124432593463e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.2564928886952508e-10, "infinity_row_residual": 2.2072449897276673e-11, "ingoing_phase_residual": 1.0510678169775074e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.16736924686204158, "matching_checks": [ { "best_distance": 0.20417762534746758, "edge_kind": "resolution", "eigenfunction_mismatch": 0.13447449050655635, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j1", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.006337539015523505, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.008056877531968536, "reverse_second_distance": 0.01439441654749204, "reverse_unambiguous": true, "second_best_gap": 0.017117935203895818, "second_distance": 0.2212955605513634, "unambiguous": true }, { "best_distance": 0.006757784133804572, "edge_kind": "resolution", "eigenfunction_mismatch": 8.194232894664921e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j4", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006757784133804572, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j4", "reverse_second_best_gap": 0.138415812303332, "reverse_second_distance": 0.14517359643713657, "reverse_unambiguous": true, "second_best_gap": 0.11890590231458456, "second_distance": 0.12566368644838913, "unambiguous": true }, { "best_distance": 0.19865365902687093, "edge_kind": "map", "eigenfunction_mismatch": 0.11349046174903887, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j1", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.008870200651884163, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j1", "reverse_second_best_gap": 0.00299155334400715, "reverse_second_distance": 0.011861753995891313, "reverse_unambiguous": true, "second_best_gap": 0.01999817056947556, "second_distance": 0.2186518295963465, "unambiguous": true }, { "best_distance": 0.21093725652040235, "edge_kind": "map", "eigenfunction_mismatch": 0.16736924686204158, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0004223012003494134, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j3", "reverse_second_best_gap": 0.01300048042508324, "reverse_second_distance": 0.013422781625432654, "reverse_unambiguous": true, "second_best_gap": 0.0169967001889616, "second_distance": 0.22793395670936395, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.21093725652040235, "max_resolution_difference": 0.20417762534746758, "omega_imag": -0.23743885387750316, "omega_real": 0.0015112671856303737, "outgoing_phase_residual": 2.348192847672905e-14, "pencil_residual": 6.4596158979496e-15, "reference_difference": 0.4333251111561769, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.13447449050655635, "transformed_residual": 1.3222081510866211e-11, "unfactored_residual": 3.992963717423511e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0107", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 1.2019382660332354e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.757865911391765e-11, "infinity_row_residual": 2.7145338157132433e-11, "ingoing_phase_residual": 2.1265065357487994e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.01246674859885244, "matching_checks": [ { "best_distance": 0.10628201800317776, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0030236223365360804, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j3", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10628201800317776, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j5", "reverse_second_best_gap": 0.03773575944238804, "reverse_second_distance": 0.1440177774455658, "reverse_unambiguous": true, "second_best_gap": 0.16969569622496405, "second_distance": 0.2759777142281418, "unambiguous": true }, { "best_distance": 0.04016601303050278, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0003366686570284161, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j5", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04016601303050278, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j5", "reverse_second_best_gap": 0.08549767341788635, "reverse_second_distance": 0.12566368644838913, "reverse_unambiguous": true, "second_best_gap": 0.10500758340663378, "second_distance": 0.14517359643713657, "unambiguous": true }, { "best_distance": 0.12956480856082697, "edge_kind": "map", "eigenfunction_mismatch": 0.0041322710517159855, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j3", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.12956480856082697, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j5", "reverse_second_best_gap": 0.06678948665795259, "reverse_second_distance": 0.19635429521877956, "reverse_unambiguous": true, "second_best_gap": 0.14341111827710729, "second_distance": 0.27297592683793426, "unambiguous": true }, { "best_distance": 0.2230488143542713, "edge_kind": "map", "eigenfunction_mismatch": 0.01246674859885244, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j2", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.2230488143542713, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j5", "reverse_second_best_gap": 0.04391721029163556, "reverse_second_distance": 0.26696602464590685, "reverse_unambiguous": true, "second_best_gap": 0.05438495770815491, "second_distance": 0.2774337720624262, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2230488143542713, "max_resolution_difference": 0.10628201800317776, "omega_imag": -0.3568300646471435, "omega_real": 0.09458939797945655, "outgoing_phase_residual": 1.5065730534888776e-14, "pencil_residual": 4.710607422929526e-15, "reference_difference": 0.4133795712714966, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0030236223365360804, "transformed_residual": 2.733617799529624e-12, "unfactored_residual": 5.428225087758795e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0108", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j6", "case": "kerr-radial", "coefficient_tail": 7.605341973756624e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.846784296411646e-11, "infinity_row_residual": 2.8321632087680183e-11, "ingoing_phase_residual": 3.3410116920236e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.012157443641760413, "matching_checks": [ { "best_distance": 0.10642652873304781, "edge_kind": "resolution", "eigenfunction_mismatch": 0.01151600144317444, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j5", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0170658851611002, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.08936064357194762, "reverse_second_distance": 0.10642652873304781, "reverse_unambiguous": true, "second_best_gap": 0.03759124871251798, "second_distance": 0.1440177774455658, "unambiguous": true }, { "best_distance": 0.05308632759764006, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002187974635485812, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j6", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05308632759764006, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j6", "reverse_second_best_gap": 0.0914226673386152, "reverse_second_distance": 0.14450899493625527, "reverse_unambiguous": true, "second_best_gap": 0.07801091803819127, "second_distance": 0.13109724563583133, "unambiguous": true }, { "best_distance": 0.10922641035876879, "edge_kind": "map", "eigenfunction_mismatch": 0.012157443641760413, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j6", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.016288912069464704, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.09293749828930409, "reverse_second_distance": 0.10922641035876879, "reverse_unambiguous": true, "second_best_gap": 0.026337721783751517, "second_distance": 0.1355641321425203, "unambiguous": true }, { "best_distance": 0.10799138884027687, "edge_kind": "map", "eigenfunction_mismatch": 0.011946051558019088, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j5", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.015422993110412125, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.09256839572986475, "reverse_second_distance": 0.10799138884027687, "reverse_unambiguous": true, "second_best_gap": 0.11268166848626027, "second_distance": 0.22067305732653714, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10922641035876879, "max_resolution_difference": 0.10642652873304781, "omega_imag": -0.44146685166008753, "omega_real": 0.24320088966794368, "outgoing_phase_residual": 1.0920928462364337e-14, "pencil_residual": 3.679904997697058e-15, "reference_difference": 0.39066146207653313, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.01151600144317444, "transformed_residual": 1.953938063866204e-12, "unfactored_residual": 2.980579888602077e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0109", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j7", "case": "kerr-radial", "coefficient_tail": 5.1697800675746135e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.648591559480105e-12, "infinity_row_residual": 3.117650266200386e-11, "ingoing_phase_residual": 3.3576908697380605e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.00041572491214447727, "matching_checks": [ { "best_distance": 0.0170658851611002, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00045481802513591685, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j5", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0170658851611002, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.08936064357194762, "reverse_second_distance": 0.10642652873304781, "reverse_unambiguous": true, "second_best_gap": 0.12165581120973823, "second_distance": 0.13872169637083842, "unambiguous": true }, { "best_distance": 0.028100230556479488, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015267425335049323, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j7", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.028100230556479488, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.10299701507935184, "reverse_second_distance": 0.13109724563583133, "reverse_unambiguous": true, "second_best_gap": 0.10273203644376257, "second_distance": 0.13083226700024206, "unambiguous": true }, { "best_distance": 0.016288912069464704, "edge_kind": "map", "eigenfunction_mismatch": 0.00041572491214447727, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j6", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.016288912069464704, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.09293749828930409, "reverse_second_distance": 0.10922641035876879, "reverse_unambiguous": true, "second_best_gap": 0.13453445887266388, "second_distance": 0.15082337094212858, "unambiguous": true }, { "best_distance": 0.015422993110412125, "edge_kind": "map", "eigenfunction_mismatch": 0.0003744423737661595, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j5", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.015422993110412125, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.09256839572986475, "reverse_second_distance": 0.10799138884027687, "reverse_unambiguous": true, "second_best_gap": 0.18016423575000515, "second_distance": 0.19558722886041727, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.016288912069464704, "max_resolution_difference": 0.028100230556479488, "omega_imag": -0.4665638990412525, "omega_real": 0.3602807387446682, "outgoing_phase_residual": 9.440976529270755e-15, "pencil_residual": 3.4100328408832136e-15, "reference_difference": 0.38229406006312755, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015267425335049323, "transformed_residual": 1.5752878878664564e-12, "unfactored_residual": 2.1333953559968178e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0110", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j8", "case": "kerr-radial", "coefficient_tail": 5.3172711641012026e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.435924103336447e-12, "infinity_row_residual": 1.2747355962988397e-10, "ingoing_phase_residual": 1.7545777092593446e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.9154139385690883e-09, "matching_checks": [ { "best_distance": 2.415450810356307e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1401956873390304e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j7", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.415450810356307e-05, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j8", "reverse_second_best_gap": 0.18668514898141073, "reverse_second_distance": 0.18670930348951428, "reverse_unambiguous": true, "second_best_gap": 0.18669141427814537, "second_distance": 0.18671556878624893, "unambiguous": true }, { "best_distance": 0.00015493417546108326, "edge_kind": "resolution", "eigenfunction_mismatch": 8.807709228619842e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j8", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00015493417546108326, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j8", "reverse_second_best_gap": 0.18640664118644762, "reverse_second_distance": 0.1865615753619087, "reverse_unambiguous": true, "second_best_gap": 0.1698226133753037, "second_distance": 0.16997754755076477, "unambiguous": true }, { "best_distance": 1.816193926074114e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.2100229707101562e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j7", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.816193926074114e-05, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j8", "reverse_second_best_gap": 0.1866884686373464, "reverse_second_distance": 0.18670663057660714, "reverse_unambiguous": true, "second_best_gap": 0.1866974095417106, "second_distance": 0.18671557148097134, "unambiguous": true }, { "best_distance": 2.285080050348327e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.9154139385690883e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j7", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.285080050348327e-05, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j8", "reverse_second_best_gap": 0.18668557585126705, "reverse_second_distance": 0.18670842665177054, "reverse_unambiguous": true, "second_best_gap": 0.18669271785997774, "second_distance": 0.18671556866048122, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.285080050348327e-05, "max_resolution_difference": 0.00015493417546108326, "omega_imag": -0.27258405469526864, "omega_real": 0.3852493936670616, "outgoing_phase_residual": 1.191939596361987e-14, "pencil_residual": 6.394932711568704e-15, "reference_difference": 0.1867155684491214, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.807709228619842e-08, "transformed_residual": 2.9988196574147603e-12, "unfactored_residual": 6.734396231067636e-14 }, { "N": 40, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j9", "case": "kerr-radial", "coefficient_tail": 9.910537636563522e-14, "failure_reasons": [], "horizon_row_residual": 3.8716951387321435e-11, "infinity_row_residual": 1.7138608140989392e-10, "ingoing_phase_residual": 1.1289794364004928e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 1.7763568394002505e-15, "matching_checks": [ { "best_distance": 2.0296183345565534e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7763568394002505e-15, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N36:c0.7:j8", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.0296183345565534e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j9", "reverse_second_best_gap": 0.18671554849006558, "reverse_second_distance": 0.18671556878624893, "reverse_unambiguous": true, "second_best_gap": 0.18670928319333094, "second_distance": 0.18670930348951428, "unambiguous": true }, { "best_distance": 5.4002726466902596e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.27675647831893e-14, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N44:c0.7:j9", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.4002726466902596e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j9", "reverse_second_best_gap": 0.1867155215666403, "reverse_second_distance": 0.18671557556936677, "reverse_unambiguous": true, "second_best_gap": 0.18656152135918225, "second_distance": 0.1865615753619087, "unambiguous": true }, { "best_distance": 2.1115700628285612e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.7763568394002505e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.0:j9", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 2.1115700628285612e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j9", "reverse_second_best_gap": 0.1867155503652707, "reverse_second_distance": 0.18671557148097134, "reverse_unambiguous": true, "second_best_gap": 0.1867066094609065, "second_distance": 0.18670663057660714, "unambiguous": true }, { "best_distance": 1.889080075309979e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.5543122344752192e-15, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.4:j8", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.889080075309979e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j9", "reverse_second_best_gap": 0.18671554976968047, "reverse_second_distance": 0.18671556866048122, "reverse_unambiguous": true, "second_best_gap": 0.18670840776096978, "second_distance": 0.18670842665177054, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.1115700628285612e-08, "max_resolution_difference": 5.4002726466902596e-08, "omega_imag": -0.08725712940661522, "omega_real": 0.407979120859595, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 9.499535119247877e-15, "reference_difference": 1.9556815480416046e-08, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.27675647831893e-14, "transformed_residual": 5.9508801258471374e-12, "unfactored_residual": 2.882825824700513e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0101", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j10", "case": "kerr-radial", "coefficient_tail": 5.5941797351562935e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.728619947462419e-12, "infinity_row_residual": 1.3817460695115936e-11, "ingoing_phase_residual": 4.453227290973438e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0239641830907521, "matching_checks": [ { "best_distance": 0.11621417077343275, "edge_kind": "resolution", "eigenfunction_mismatch": 0.009158583414488053, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j6", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.11621417077343275, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j10", "reverse_second_best_gap": 0.015291370610893848, "reverse_second_distance": 0.1315055413843266, "reverse_unambiguous": true, "second_best_gap": 0.01608617115717885, "second_distance": 0.1323003419306116, "unambiguous": true }, { "best_distance": 0.03949821792625668, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0024473170145649092, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j10", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03949821792625668, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j10", "reverse_second_best_gap": 0.09133404907398537, "reverse_second_distance": 0.13083226700024206, "reverse_unambiguous": true, "second_best_gap": 0.11558478222355259, "second_distance": 0.15508300014980927, "unambiguous": true }, { "best_distance": 0.12029983902955965, "edge_kind": "map", "eigenfunction_mismatch": 0.009981195894248951, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j8", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.1127514830062516, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.007548356023308056, "reverse_second_distance": 0.12029983902955965, "reverse_unambiguous": true, "second_best_gap": 0.014704764434328, "second_distance": 0.13500460346388765, "unambiguous": true }, { "best_distance": 0.137434106165285, "edge_kind": "map", "eigenfunction_mismatch": 0.0239641830907521, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j5", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.015422993110412125, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j7", "reverse_second_best_gap": 0.09256839572986475, "reverse_second_distance": 0.10799138884027687, "reverse_unambiguous": true, "second_best_gap": 0.015252058998293239, "second_distance": 0.15268616516357825, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.137434106165285, "max_resolution_difference": 0.11621417077343275, "omega_imag": -0.5913859181458782, "omega_real": 0.41668448657687157, "outgoing_phase_residual": 7.73838190934277e-15, "pencil_residual": 2.268794335467207e-15, "reference_difference": 0.5042039307498539, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.009158583414488053, "transformed_residual": 1.1435764300708928e-12, "unfactored_residual": 1.4113558155025133e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0102", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j11", "case": "kerr-radial", "coefficient_tail": 5.4387262570272916e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.900345021794098e-12, "infinity_row_residual": 6.256022001991202e-12, "ingoing_phase_residual": 4.648993325434345e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.01248915324564115, "matching_checks": [ { "best_distance": 0.13029528931065018, "edge_kind": "resolution", "eigenfunction_mismatch": 0.007343484641343934, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j9", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.13029528931065018, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.00022718176079861152, "reverse_second_distance": 0.1305224710714488, "reverse_unambiguous": true, "second_best_gap": 0.001210252073676421, "second_distance": 0.1315055413843266, "unambiguous": true }, { "best_distance": 0.023772122010680147, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0005676031172456852, "failure_reasons": [ "frequency_difference" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j11", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.023772122010680147, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.1321092677674317, "reverse_second_distance": 0.15588138977811186, "reverse_unambiguous": true, "second_best_gap": 0.09804695563956624, "second_distance": 0.12181907765024638, "unambiguous": true }, { "best_distance": 0.1127514830062516, "edge_kind": "map", "eigenfunction_mismatch": 0.0070023202754997405, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j8", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.1127514830062516, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.007548356023308056, "reverse_second_distance": 0.12029983902955965, "reverse_unambiguous": true, "second_best_gap": 0.04860777589490234, "second_distance": 0.16135925890115393, "unambiguous": true }, { "best_distance": 0.1929170446933907, "edge_kind": "map", "eigenfunction_mismatch": 0.01248915324564115, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j6", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.1929170446933907, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.005963911756202395, "reverse_second_distance": 0.19888095644959308, "reverse_unambiguous": true, "second_best_gap": 0.008789258041185355, "second_distance": 0.20170630273457604, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.1929170446933907, "max_resolution_difference": 0.13029528931065018, "omega_imag": -0.7379354930600146, "omega_real": 0.5073472332576128, "outgoing_phase_residual": 6.195402603516567e-15, "pencil_residual": 1.6033052814508364e-15, "reference_difference": 0.6582221032090186, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.007343484641343934, "transformed_residual": 7.129722898658091e-13, "unfactored_residual": 8.294734160367656e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0103", "branch_unique": true, "candidate_id": "kerr-radial:N40:c0.7:j12", "case": "kerr-radial", "coefficient_tail": 2.8225135478450682e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.708534928097667e-12, "infinity_row_residual": 2.406510097945257e-12, "ingoing_phase_residual": 4.4263533114070753e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.010719017980084788, "matching_checks": [ { "best_distance": 0.1305224710714488, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006013892442054969, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N36:c0.7:j9", "peer_configuration": [ "kerr-radial", 36, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.13029528931065018, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.00022718176079861152, "reverse_second_distance": 0.1305224710714488, "reverse_unambiguous": true, "second_best_gap": 0.15081076261243806, "second_distance": 0.28133323368388685, "unambiguous": true }, { "best_distance": 0.06425099730349704, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0033099078143544736, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j12", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06425099730349704, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j12", "reverse_second_best_gap": 0.057568080346749345, "reverse_second_distance": 0.12181907765024638, "reverse_unambiguous": true, "second_best_gap": 0.06271387199167297, "second_distance": 0.12696486929517, "unambiguous": true }, { "best_distance": 0.08895897119516846, "edge_kind": "map", "eigenfunction_mismatch": 0.002990683751017964, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j10", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08895897119516846, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j12", "reverse_second_best_gap": 0.07240028770598547, "reverse_second_distance": 0.16135925890115393, "reverse_unambiguous": true, "second_best_gap": 0.17437802936863553, "second_distance": 0.263337000563804, "unambiguous": true }, { "best_distance": 0.19888095644959308, "edge_kind": "map", "eigenfunction_mismatch": 0.010719017980084788, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j6", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.1929170446933907, "reverse_nearest_candidate_id": "kerr-radial:N40:c0.7:j11", "reverse_second_best_gap": 0.005963911756202395, "reverse_second_distance": 0.19888095644959308, "reverse_unambiguous": true, "second_best_gap": 0.13847206771031906, "second_distance": 0.33735302415991214, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.19888095644959308, "max_resolution_difference": 0.1305224710714488, "omega_imag": -0.899253104306714, "omega_real": 0.5814041986681926, "outgoing_phase_residual": 5.2192291704247925e-15, "pencil_residual": 9.075886797185406e-16, "reference_difference": 0.8303094002747142, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006013892442054969, "transformed_residual": 3.273480393084589e-13, "unfactored_residual": 3.688528919605779e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0111", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 0.0022835820278108826, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.681050916837823e-08, "infinity_row_residual": 1.3082702708947666e-12, "ingoing_phase_residual": 1.801523653947243e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.005530606356049517, "matching_checks": [ { "best_distance": 0.0015860349132434377, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0019236883765674229, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j1", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0015860349132434377, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j0", "reverse_second_best_gap": 0.008857725975391991, "reverse_second_distance": 0.010443760888635429, "reverse_unambiguous": true, "second_best_gap": 0.0148767769775847, "second_distance": 0.016462811890828138, "unambiguous": true }, { "best_distance": 0.0011734684998451512, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001561430151472809, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j1", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0011734684998451512, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j0", "reverse_second_best_gap": 0.012029788203811176, "reverse_second_distance": 0.013203256703656328, "reverse_unambiguous": true, "second_best_gap": 0.007583272665004195, "second_distance": 0.008756741164849346, "unambiguous": true }, { "best_distance": 0.002044246197676619, "edge_kind": "map", "eigenfunction_mismatch": 0.005530606356049517, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j0", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002044246197676619, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j0", "reverse_second_best_gap": 0.012029784356700858, "reverse_second_distance": 0.014074030554377477, "reverse_unambiguous": true, "second_best_gap": 0.0042775396553924455, "second_distance": 0.006321785853069065, "unambiguous": true }, { "best_distance": 0.0027475514045729498, "edge_kind": "map", "eigenfunction_mismatch": 0.00503885676932414, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j0", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0027475514045729498, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j0", "reverse_second_best_gap": 0.006534694151052708, "reverse_second_distance": 0.009282245555625658, "reverse_unambiguous": true, "second_best_gap": 0.016997007062808007, "second_distance": 0.019744558467380956, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0027475514045729498, "max_resolution_difference": 0.0015860349132434377, "omega_imag": -0.006762033254267973, "omega_real": 4.240398087136502e-05, "outgoing_phase_residual": 8.291722573486812e-13, "pencil_residual": 3.658651726449572e-14, "reference_difference": 0.41580261908991983, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0019236883765674229, "transformed_residual": 0.8266426478839028, "unfactored_residual": 0.02360804076995378 }, { "N": 40, "accepted": false, "branch_id": "branch-0112", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 1.5919852836778627e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.4822921690852134e-09, "infinity_row_residual": 1.3210281375860642e-12, "ingoing_phase_residual": 2.0882757621124656e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.006904914784706784, "matching_checks": [ { "best_distance": 0.009240867534686935, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002217955832138685, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j0", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.009240867534686935, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j1", "reverse_second_best_gap": 0.01999876877773979, "reverse_second_distance": 0.029239636312426726, "reverse_unambiguous": true, "second_best_gap": 0.00632490377402618, "second_distance": 0.015565771308713115, "unambiguous": true }, { "best_distance": 0.006797217958764924, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017854210253754887, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j2", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.006797217958764924, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j1", "reverse_second_best_gap": 0.006404367012038542, "reverse_second_distance": 0.013201584970803466, "reverse_unambiguous": true, "second_best_gap": 0.01116342340873977, "second_distance": 0.017960641367504693, "unambiguous": true }, { "best_distance": 0.008870200651884163, "edge_kind": "map", "eigenfunction_mismatch": 0.0020600298772128767, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j1", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.008870200651884163, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j1", "reverse_second_best_gap": 0.01999879481126762, "reverse_second_distance": 0.028868995463151782, "reverse_unambiguous": true, "second_best_gap": 0.00299155334400715, "second_distance": 0.011861753995891313, "unambiguous": true }, { "best_distance": 0.012284014592419042, "edge_kind": "map", "eigenfunction_mismatch": 0.006904914784706784, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.007714781392207955, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j2", "reverse_second_best_gap": 0.004569233200211087, "reverse_second_distance": 0.012284014592419042, "reverse_unambiguous": true, "second_best_gap": 0.01699700841529024, "second_distance": 0.02928102300770928, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.012284014592419042, "max_resolution_difference": 0.009240867534686935, "omega_imag": -0.03879058982827945, "omega_real": 4.721971570549759e-05, "outgoing_phase_residual": 1.4452839580054045e-13, "pencil_residual": 2.2128322495287965e-14, "reference_difference": 0.41080096519775333, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002217955832138685, "transformed_residual": 5.8419092636131104e-05, "unfactored_residual": 5.227045637232376e-06 }, { "N": 40, "accepted": false, "branch_id": "branch-0114", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 4.430746599985427e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.361856772744116e-09, "infinity_row_residual": 1.6672374684554777e-12, "ingoing_phase_residual": 1.8453238278397144e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.005913559004686708, "matching_checks": [ { "best_distance": 0.004433026130953271, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002074322980933796, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j2", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004433026130953271, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j2", "reverse_second_best_gap": 0.011132745177759844, "reverse_second_distance": 0.015565771308713115, "reverse_unambiguous": true, "second_best_gap": 0.006010734757682158, "second_distance": 0.010443760888635429, "unambiguous": true }, { "best_distance": 0.0032730525932051896, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0016676973919753646, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j3", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0032730525932051896, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j2", "reverse_second_best_gap": 0.005483688571644156, "reverse_second_distance": 0.008756741164849346, "reverse_unambiguous": true, "second_best_gap": 0.009928532377598276, "second_distance": 0.013201584970803466, "unambiguous": true }, { "best_distance": 0.005708007462186489, "edge_kind": "map", "eigenfunction_mismatch": 0.005913559004686708, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j2", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005708007462186489, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j2", "reverse_second_best_gap": 0.000613778390882576, "reverse_second_distance": 0.006321785853069065, "reverse_unambiguous": true, "second_best_gap": 0.002429040714889739, "second_distance": 0.008137048177076228, "unambiguous": true }, { "best_distance": 0.007714781392207955, "edge_kind": "map", "eigenfunction_mismatch": 0.005486352323260335, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.007714781392207955, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j2", "reverse_second_best_gap": 0.004569233200211087, "reverse_second_distance": 0.012284014592419042, "reverse_unambiguous": true, "second_best_gap": 0.0015674641634177032, "second_distance": 0.009282245555625658, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.007714781392207955, "max_resolution_difference": 0.004433026130953271, "omega_imag": -0.018791802991847628, "omega_real": 6.567912698019629e-05, "outgoing_phase_residual": 2.9836502634337486e-13, "pencil_residual": 2.7828329707938135e-14, "reference_difference": 0.41361923197386286, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002074322980933796, "transformed_residual": 0.0033716577740221104, "unfactored_residual": 0.00024649165519188316 }, { "N": 40, "accepted": false, "branch_id": "branch-0115", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 1.8266303093301126e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.5129680053756715e-10, "infinity_row_residual": 9.890351328555493e-12, "ingoing_phase_residual": 4.209505049175568e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0041322710517159855, "matching_checks": [ { "best_distance": 0.04173293251447349, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00047764347124057416, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j3", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04173293251447349, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j3", "reverse_second_best_gap": 0.22763524570382274, "reverse_second_distance": 0.26936817821829623, "reverse_unambiguous": true, "second_best_gap": 0.15605013442852791, "second_distance": 0.1977830669430014, "unambiguous": true }, { "best_distance": 0.0647137386917896, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0011077622959519973, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j5", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0647137386917896, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j3", "reverse_second_best_gap": 0.17884662378073224, "reverse_second_distance": 0.24356036247252183, "reverse_unambiguous": true, "second_best_gap": 0.10665745601306427, "second_distance": 0.17137119470485387, "unambiguous": true }, { "best_distance": 0.12956480856082697, "edge_kind": "map", "eigenfunction_mismatch": 0.0041322710517159855, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j5", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.12956480856082697, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j3", "reverse_second_best_gap": 0.14341111827710729, "reverse_second_distance": 0.27297592683793426, "reverse_unambiguous": true, "second_best_gap": 0.06678948665795259, "second_distance": 0.19635429521877956, "unambiguous": true }, { "best_distance": 0.09419860024679758, "edge_kind": "map", "eigenfunction_mismatch": 0.0024519282105399665, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j2", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.09419860024679758, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j3", "reverse_second_best_gap": 0.15872569803016015, "reverse_second_distance": 0.2529242982769577, "reverse_unambiguous": true, "second_best_gap": 0.19262570692513706, "second_distance": 0.28682430717193463, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.12956480856082697, "max_resolution_difference": 0.0647137386917896, "omega_imag": -0.47862433579167557, "omega_real": 0.05039443068932329, "outgoing_phase_residual": 1.1430498288939347e-14, "pencil_residual": 3.9853915248328755e-15, "reference_difference": 0.5301274188286044, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0011077622959519973, "transformed_residual": 7.935899072436543e-13, "unfactored_residual": 1.2847362844508324e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0116", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 1.910096898523228e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 5.843018100116662e-10, "infinity_row_residual": 3.502270196244349e-13, "ingoing_phase_residual": 1.1789888550845406e-06, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.03574520172978535, "matching_checks": [ { "best_distance": 0.21430729446579672, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00903167275468375, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j4", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.14854966992432392, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j5", "reverse_second_best_gap": 0.04923339701867749, "reverse_second_distance": 0.1977830669430014, "reverse_unambiguous": true, "second_best_gap": 0.012083330746493814, "second_distance": 0.22639062521229053, "unambiguous": true }, { "best_distance": 0.31427072106781223, "edge_kind": "resolution", "eigenfunction_mismatch": 0.02170324077579744, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j11", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.05765359014936524, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.09972817332554873, "reverse_second_distance": 0.15738176347491398, "reverse_unambiguous": true, "second_best_gap": 0.01021636952322158, "second_distance": 0.3244870905910338, "unambiguous": true }, { "best_distance": 0.3820826319295273, "edge_kind": "map", "eigenfunction_mismatch": 0.03574520172978535, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j11", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.1127514830062516, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.04860777589490234, "reverse_second_distance": 0.16135925890115393, "reverse_unambiguous": true, "second_best_gap": 0.005347783890377156, "second_distance": 0.38743041581990445, "unambiguous": true }, { "best_distance": 0.1703404607635745, "edge_kind": "map", "eigenfunction_mismatch": 0.005691504193868324, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j3", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.14447387622449498, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j5", "reverse_second_best_gap": 0.02586658453907953, "reverse_second_distance": 0.1703404607635745, "reverse_unambiguous": true, "second_best_gap": 0.06349151783786508, "second_distance": 0.2338319786014396, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.3820826319295273, "max_resolution_difference": 0.31427072106781223, "omega_imag": -0.8720026980851231, "omega_real": 0.1495580185529907, "outgoing_phase_residual": 6.0825253169780394e-15, "pencil_residual": 1.3696188424895134e-15, "reference_difference": 0.8262003651307183, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.02170324077579744, "transformed_residual": 1.33950037831281e-13, "unfactored_residual": 1.6089545726700102e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0117", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 1.546637442538066e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 9.631781799033148e-11, "infinity_row_residual": 9.31596456041479e-12, "ingoing_phase_residual": 6.346145473998851e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.010717028587827526, "matching_checks": [ { "best_distance": 0.10163693237301355, "edge_kind": "resolution", "eigenfunction_mismatch": 0.004118684525844518, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j5", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.10163693237301355, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j5", "reverse_second_best_gap": 0.006860671559175011, "reverse_second_distance": 0.10849760393218856, "reverse_unambiguous": true, "second_best_gap": 0.034753299524672876, "second_distance": 0.13639023189768643, "unambiguous": true }, { "best_distance": 0.06748316722725595, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0021204766393787544, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j6", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.06748316722725595, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j5", "reverse_second_best_gap": 0.07148795696456137, "reverse_second_distance": 0.1389711241918173, "reverse_unambiguous": true, "second_best_gap": 0.052256674593533115, "second_distance": 0.11973984182078906, "unambiguous": true }, { "best_distance": 0.1355641321425203, "edge_kind": "map", "eigenfunction_mismatch": 0.010717028587827526, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j6", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.10922641035876879, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j6", "reverse_second_best_gap": 0.026337721783751517, "reverse_second_distance": 0.1355641321425203, "reverse_unambiguous": true, "second_best_gap": 0.015259238799608277, "second_distance": 0.15082337094212858, "unambiguous": true }, { "best_distance": 0.13420402677622142, "edge_kind": "map", "eigenfunction_mismatch": 0.006783208350411352, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j4", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.08939075767758309, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.044813269098638336, "reverse_second_distance": 0.13420402677622142, "reverse_unambiguous": true, "second_best_gap": 0.0023194406588398497, "second_distance": 0.13652346743506127, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.1355641321425203, "max_resolution_difference": 0.10163693237301355, "omega_imag": -0.5763414555614427, "omega_real": 0.25685647995204564, "outgoing_phase_residual": 8.770234874104551e-15, "pencil_residual": 3.5377557492698975e-15, "reference_difference": 0.5118999042977642, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.004118684525844518, "transformed_residual": 5.263827148057393e-13, "unfactored_residual": 7.097044961020219e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0118", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j6", "case": "kerr-radial", "coefficient_tail": 2.5304085788197618e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.593944911230537e-11, "infinity_row_residual": 2.23169520736372e-11, "ingoing_phase_residual": 3.518529121991196e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.00041572491214447727, "matching_checks": [ { "best_distance": 0.002638079934520479, "edge_kind": "resolution", "eigenfunction_mismatch": 1.0066132544395145e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j6", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.002638079934520479, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j6", "reverse_second_best_gap": 0.13375215196316595, "reverse_second_distance": 0.13639023189768643, "reverse_unambiguous": true, "second_best_gap": 0.19723647789187232, "second_distance": 0.1998745578263928, "unambiguous": true }, { "best_distance": 0.003884952388736791, "edge_kind": "resolution", "eigenfunction_mismatch": 2.2049402866319845e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j7", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.003884952388736791, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j6", "reverse_second_best_gap": 0.134454632918189, "reverse_second_distance": 0.13833958530692578, "reverse_unambiguous": true, "second_best_gap": 0.13508617180308052, "second_distance": 0.1389711241918173, "unambiguous": true }, { "best_distance": 0.016288912069464704, "edge_kind": "map", "eigenfunction_mismatch": 0.00041572491214447727, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j7", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.016288912069464704, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j6", "reverse_second_best_gap": 0.13453445887266388, "reverse_second_distance": 0.15082337094212858, "reverse_unambiguous": true, "second_best_gap": 0.09293749828930409, "second_distance": 0.10922641035876879, "unambiguous": true }, { "best_distance": 0.0025884645772416815, "edge_kind": "map", "eigenfunction_mismatch": 9.699640778015883e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j5", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0025884645772416815, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j6", "reverse_second_best_gap": 0.1339350028578196, "reverse_second_distance": 0.13652346743506127, "reverse_unambiguous": true, "second_best_gap": 0.20424991501583542, "second_distance": 0.2068383795930771, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.016288912069464704, "max_resolution_difference": 0.003884952388736791, "omega_imag": -0.47582698255015377, "omega_real": 0.3468820843229035, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 5.178069151953259e-15, "reference_difference": 0.39334382574108845, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.2049402866319845e-05, "transformed_residual": 1.130360287776577e-12, "unfactored_residual": 1.5356718214883736e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0119", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j7", "case": "kerr-radial", "coefficient_tail": 4.3331282843653845e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.517507362498291e-11, "infinity_row_residual": 9.068990721185368e-11, "ingoing_phase_residual": 1.754497368250531e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.2100229707101562e-09, "matching_checks": [ { "best_distance": 6.86319397691814e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 1.7277912434110476e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j8", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.86319397691814e-06, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j7", "reverse_second_best_gap": 0.18670210189492534, "reverse_second_distance": 0.18670896508890225, "reverse_unambiguous": true, "second_best_gap": 0.18669974996272248, "second_distance": 0.1867066131566994, "unambiguous": true }, { "best_distance": 1.1307695410353609e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 4.690077215485644e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j9", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1307695410353609e-05, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j7", "reverse_second_best_gap": 0.1866976386115247, "reverse_second_distance": 0.18670894630693505, "reverse_unambiguous": true, "second_best_gap": 0.18669530265277012, "second_distance": 0.18670661034818048, "unambiguous": true }, { "best_distance": 1.816193926074114e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.2100229707101562e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j8", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.816193926074114e-05, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j7", "reverse_second_best_gap": 0.1866974095417106, "reverse_second_distance": 0.18671557148097134, "reverse_unambiguous": true, "second_best_gap": 0.1866884686373464, "second_distance": 0.18670663057660714, "unambiguous": true }, { "best_distance": 6.166706914604455e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.3949086330455884e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j7", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.166706914604455e-06, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j7", "reverse_second_best_gap": 0.18670224628122326, "reverse_second_distance": 0.18670841298813787, "reverse_unambiguous": true, "second_best_gap": 0.18670044738665986, "second_distance": 0.18670661409357447, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 1.816193926074114e-05, "max_resolution_difference": 1.1307695410353609e-05, "omega_imag": -0.27257324258201576, "omega_real": 0.38523480071517663, "outgoing_phase_residual": 1.191939596361987e-14, "pencil_residual": 6.587120513646849e-15, "reference_difference": 0.1867066138821336, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.690077215485644e-10, "transformed_residual": 2.694586918489437e-12, "unfactored_residual": 6.048550006349065e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0120", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j8", "case": "kerr-radial", "coefficient_tail": 1.481928068997011e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.126086828922125e-11, "infinity_row_residual": 5.615876577075039e-12, "ingoing_phase_residual": 5.812268991166423e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0070023202754997405, "matching_checks": [ { "best_distance": 0.08911589553026288, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002548904030545751, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j7", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08911589553026288, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.08049113280826771, "reverse_second_distance": 0.16960702833853059, "reverse_unambiguous": true, "second_best_gap": 0.019381708401925685, "second_distance": 0.10849760393218856, "unambiguous": true }, { "best_distance": 0.05765359014936524, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0013902519949413605, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j11", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05765359014936524, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.09972817332554873, "reverse_second_distance": 0.15738176347491398, "reverse_unambiguous": true, "second_best_gap": 0.03036773796060393, "second_distance": 0.08802132810996917, "unambiguous": true }, { "best_distance": 0.1127514830062516, "edge_kind": "map", "eigenfunction_mismatch": 0.0070023202754997405, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j11", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.1127514830062516, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.04860777589490234, "reverse_second_distance": 0.16135925890115393, "reverse_unambiguous": true, "second_best_gap": 0.007548356023308056, "second_distance": 0.12029983902955965, "unambiguous": true }, { "best_distance": 0.08939075767758309, "edge_kind": "map", "eigenfunction_mismatch": 0.002870581501324909, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j4", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.08939075767758309, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j8", "reverse_second_best_gap": 0.044813269098638336, "reverse_second_distance": 0.13420402677622142, "reverse_unambiguous": true, "second_best_gap": 0.08645400220686877, "second_distance": 0.17584475988445186, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.1127514830062516, "max_resolution_difference": 0.08911589553026288, "omega_imag": -0.7102340087614705, "omega_real": 0.39805164923077957, "outgoing_phase_residual": 6.721206199451628e-15, "pencil_residual": 2.4788813390636548e-15, "reference_difference": 0.6230559586128708, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002548904030545751, "transformed_residual": 2.9539058053083754e-13, "unfactored_residual": 3.562506187163334e-15 }, { "N": 40, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j9", "case": "kerr-radial", "coefficient_tail": 6.371230279676856e-14, "failure_reasons": [], "horizon_row_residual": 1.1067170439966226e-10, "infinity_row_residual": 9.790632167382602e-11, "ingoing_phase_residual": 1.128979419132861e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 1.9984014443252818e-15, "matching_checks": [ { "best_distance": 8.81698743358859e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 2.220446049250313e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.0:j9", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 8.81698743358859e-09, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j9", "reverse_second_best_gap": 0.18670660433971195, "reverse_second_distance": 0.1867066131566994, "reverse_unambiguous": true, "second_best_gap": 0.1867089562719148, "second_distance": 0.18670896508890225, "unambiguous": true }, { "best_distance": 1.1913961457024502e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 4.440892098500626e-16, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.0:j10", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1913961457024502e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j9", "reverse_second_best_gap": 0.18670659843421902, "reverse_second_distance": 0.18670661034818048, "reverse_unambiguous": true, "second_best_gap": 0.1867089343929736, "second_distance": 0.18670894630693505, "unambiguous": true }, { "best_distance": 2.1115700628285612e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.9984014443252818e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c0.7:j9", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.1115700628285612e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j9", "reverse_second_best_gap": 0.1867066094609065, "reverse_second_distance": 0.18670663057660714, "reverse_unambiguous": true, "second_best_gap": 0.1867155503652707, "second_distance": 0.18671557148097134, "unambiguous": true }, { "best_distance": 7.426749299337166e-09, "edge_kind": "map", "eigenfunction_mismatch": 4.440892098500626e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.4:j8", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.426749299337166e-09, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j9", "reverse_second_best_gap": 0.18670660666682518, "reverse_second_distance": 0.18670661409357447, "reverse_unambiguous": true, "second_best_gap": 0.18670840556138857, "second_distance": 0.18670841298813787, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 2.1115700628285612e-08, "max_resolution_difference": 1.1913961457024502e-08, "omega_imag": -0.08725714100677333, "omega_real": 0.40797910321564007, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 8.595644407933327e-15, "reference_difference": 6.6447414549898765e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 4.440892098500626e-16, "transformed_residual": 3.640038314095643e-12, "unfactored_residual": 1.7632693876472628e-13 }, { "N": 40, "accepted": false, "branch_id": "branch-0113", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.0:j10", "case": "kerr-radial", "coefficient_tail": 1.2552541388969785e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.1096411226082562e-11, "infinity_row_residual": 2.529858072111034e-12, "ingoing_phase_residual": 5.057900254104862e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.002990683751017853, "matching_checks": [ { "best_distance": 0.07317360743083477, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001182135530707451, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.0:j10", "peer_configuration": [ "kerr-radial", 36, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.07317360743083477, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j10", "reverse_second_best_gap": 0.18944279769794148, "reverse_second_distance": 0.26261640512877626, "reverse_unambiguous": true, "second_best_gap": 0.09643342090769581, "second_distance": 0.16960702833853059, "unambiguous": true }, { "best_distance": 0.05435201808032365, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009755457508068277, "failure_reasons": [ "frequency_difference" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j12", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05435201808032365, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j10", "reverse_second_best_gap": 0.1756971753646408, "reverse_second_distance": 0.23004919344496444, "reverse_unambiguous": true, "second_best_gap": 0.10302974539459032, "second_distance": 0.15738176347491398, "unambiguous": true }, { "best_distance": 0.08895897119516846, "edge_kind": "map", "eigenfunction_mismatch": 0.002990683751017853, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j12", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.08895897119516846, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j10", "reverse_second_best_gap": 0.17437802936863553, "reverse_second_distance": 0.263337000563804, "reverse_unambiguous": true, "second_best_gap": 0.07240028770598547, "second_distance": 0.16135925890115393, "unambiguous": true }, { "best_distance": 0.11023339816778481, "edge_kind": "map", "eigenfunction_mismatch": 0.0027100950599230345, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j6", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.11023339816778481, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.0:j10", "reverse_second_best_gap": 0.06561136171666705, "reverse_second_distance": 0.17584475988445186, "reverse_unambiguous": true, "second_best_gap": 0.16003438397192704, "second_distance": 0.27026778213971187, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.11023339816778481, "max_resolution_difference": 0.07317360743083477, "omega_imag": -0.8986053749103026, "omega_real": 0.4924475856327817, "outgoing_phase_residual": 5.302695275805847e-15, "pencil_residual": 1.3517078817107922e-15, "reference_difference": 0.8157333352266279, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001182135530707451, "transformed_residual": 1.2516719456159144e-13, "unfactored_residual": 1.43268498501303e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0121", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 0.0022297624474759106, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.166841069111167e-08, "infinity_row_residual": 2.0336632311533335e-12, "ingoing_phase_residual": 1.8045576893941068e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.00503885676932414, "matching_checks": [ { "best_distance": 0.00224356812435003, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0019788753499839773, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j1", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00224356812435003, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j0", "reverse_second_best_gap": 0.012509885113794883, "reverse_second_distance": 0.014753453238144913, "reverse_unambiguous": true, "second_best_gap": 0.021072782391077342, "second_distance": 0.023316350515427374, "unambiguous": true }, { "best_distance": 0.0016566323492106867, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001598889686729943, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j1", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0016566323492106867, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j0", "reverse_second_best_gap": 0.016997012382420545, "reverse_second_distance": 0.018653644731631232, "reverse_unambiguous": true, "second_best_gap": 0.010692333677478296, "second_distance": 0.012348966026688982, "unambiguous": true }, { "best_distance": 0.0035742381048143824, "edge_kind": "map", "eigenfunction_mismatch": 0.004494451463876059, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j2", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0035742381048143824, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j0", "reverse_second_best_gap": 0.009848543520618272, "reverse_second_distance": 0.013422781625432654, "reverse_unambiguous": true, "second_best_gap": 0.001217558380224728, "second_distance": 0.0047917964850391105, "unambiguous": true }, { "best_distance": 0.0027475514045729498, "edge_kind": "map", "eigenfunction_mismatch": 0.00503885676932414, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j0", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0027475514045729498, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j0", "reverse_second_best_gap": 0.016997007062808007, "reverse_second_distance": 0.019744558467380956, "reverse_unambiguous": true, "second_best_gap": 0.006534694151052708, "second_distance": 0.009282245555625658, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0035742381048143824, "max_resolution_difference": 0.00224356812435003, "omega_imag": -0.009509567241900567, "omega_real": 5.218700568595264e-05, "outgoing_phase_residual": 5.896094267295518e-13, "pencil_residual": 2.7743229055409372e-14, "reference_difference": 0.41526986317535675, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0019788753499839773, "transformed_residual": 0.4064531397775512, "unfactored_residual": 0.0207402438329944 }, { "N": 40, "accepted": false, "branch_id": "branch-0122", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 4.128161749007497e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8093119441012484e-09, "infinity_row_residual": 7.365459220422664e-13, "ingoing_phase_residual": 1.914912341981728e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.005486352323260335, "matching_checks": [ { "best_distance": 0.006319357681803772, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002172053193196355, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j0", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.006319357681803772, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j1", "reverse_second_best_gap": 0.016996992833623603, "reverse_second_distance": 0.023316350515427374, "reverse_unambiguous": true, "second_best_gap": 0.008434095556341142, "second_distance": 0.014753453238144913, "unambiguous": true }, { "best_distance": 0.004648060115067601, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001738785038825852, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j2", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004648060115067601, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j1", "reverse_second_best_gap": 0.007700905911621381, "reverse_second_distance": 0.012348966026688982, "reverse_unambiguous": true, "second_best_gap": 0.014005584616563631, "second_distance": 0.018653644731631232, "unambiguous": true }, { "best_distance": 0.0004223012003494134, "edge_kind": "map", "eigenfunction_mismatch": 1.1798997441636594e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j3", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0004223012003494134, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j1", "reverse_second_best_gap": 0.01699698840570938, "reverse_second_distance": 0.017419289606058794, "reverse_unambiguous": true, "second_best_gap": 0.01300048042508324, "second_distance": 0.013422781625432654, "unambiguous": true }, { "best_distance": 0.007714781392207955, "edge_kind": "map", "eigenfunction_mismatch": 0.005486352323260335, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j2", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.007714781392207955, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j1", "reverse_second_best_gap": 0.0015674641634177032, "reverse_second_distance": 0.009282245555625658, "reverse_unambiguous": true, "second_best_gap": 0.004569233200211087, "second_distance": 0.012284014592419042, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.007714781392207955, "max_resolution_difference": 0.006319357681803772, "omega_imag": -0.026506582964851224, "omega_real": 6.09996290642967e-05, "outgoing_phase_residual": 2.1152269444712083e-13, "pencil_residual": 1.262225449222974e-14, "reference_difference": 0.41241703950734376, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002172053193196355, "transformed_residual": 0.002371604306901612, "unfactored_residual": 0.000198305648530784 }, { "N": 40, "accepted": false, "branch_id": "branch-0123", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 1.3019345168219504e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 9.116681126515874e-11, "infinity_row_residual": 4.757626218766284e-12, "ingoing_phase_residual": 6.548641660389924e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.01246674859885255, "matching_checks": [ { "best_distance": 0.18144012540173748, "edge_kind": "resolution", "eigenfunction_mismatch": 0.007755707358287123, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j2", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.10748055252983506, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j3", "reverse_second_best_gap": 0.07395957287190243, "reverse_second_distance": 0.18144012540173748, "reverse_unambiguous": true, "second_best_gap": 0.15019110584930867, "second_distance": 0.33163123125104615, "unambiguous": true }, { "best_distance": 0.10238017624271974, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0028957956355963876, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j3", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.10238017624271974, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j2", "reverse_second_best_gap": 0.2021373335857708, "reverse_second_distance": 0.3045175098284905, "reverse_unambiguous": true, "second_best_gap": 0.13337538347703215, "second_distance": 0.2357555597197519, "unambiguous": true }, { "best_distance": 0.2230488143542713, "edge_kind": "map", "eigenfunction_mismatch": 0.01246674859885255, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j5", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.2230488143542713, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j2", "reverse_second_best_gap": 0.05438495770815491, "reverse_second_distance": 0.2774337720624262, "reverse_unambiguous": true, "second_best_gap": 0.04391721029163556, "second_distance": 0.26696602464590685, "unambiguous": true }, { "best_distance": 0.09419860024679758, "edge_kind": "map", "eigenfunction_mismatch": 0.0024519282105399665, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j3", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.09419860024679758, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j2", "reverse_second_best_gap": 0.19262570692513706, "reverse_second_distance": 0.28682430717193463, "reverse_unambiguous": true, "second_best_gap": 0.15872569803016015, "second_distance": 0.2529242982769577, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.2230488143542713, "max_resolution_difference": 0.18144012540173748, "omega_imag": -0.5608351667202977, "omega_real": 0.0044079591299452355, "outgoing_phase_residual": 9.77014592061189e-15, "pencil_residual": 1.855067809440647e-15, "reference_difference": 0.6222104271742459, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.007755707358287123, "transformed_residual": 4.739837161041701e-13, "unfactored_residual": 6.9610895482955435e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0124", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 5.98640775031706e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 8.154876939658818e-11, "infinity_row_residual": 3.1393454912429282e-12, "ingoing_phase_residual": 1.4441244924752473e-06, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.02495726971718737, "matching_checks": [ { "best_distance": 0.09733493739560545, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0026348389932854266, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j3", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0073830450286162756, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j4", "reverse_second_best_gap": 0.08995189236698917, "reverse_second_distance": 0.09733493739560545, "reverse_unambiguous": true, "second_best_gap": 0.01014561513422961, "second_distance": 0.10748055252983506, "unambiguous": true }, { "best_distance": 0.13619380975107417, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005747479121254173, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j4", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.13619380975107417, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j3", "reverse_second_best_gap": 0.002176100956489374, "reverse_second_distance": 0.13836991070756355, "reverse_unambiguous": true, "second_best_gap": 0.019081606674597074, "second_distance": 0.15527541642567125, "unambiguous": true }, { "best_distance": 0.23711805626863974, "edge_kind": "map", "eigenfunction_mismatch": 0.02495726971718737, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j10", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.137434106165285, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j5", "reverse_second_best_gap": 0.015252058998293239, "reverse_second_distance": 0.15268616516357825, "reverse_unambiguous": true, "second_best_gap": 0.03726544957721872, "second_distance": 0.27438350584585847, "unambiguous": true }, { "best_distance": 0.14447387622449498, "edge_kind": "map", "eigenfunction_mismatch": 0.0067259625052912275, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j5", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.13420402677622142, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j4", "reverse_second_best_gap": 0.0023194406588398497, "reverse_second_distance": 0.13652346743506127, "reverse_unambiguous": true, "second_best_gap": 0.02586658453907953, "second_distance": 0.1703404607635745, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.23711805626863974, "max_resolution_difference": 0.13619380975107417, "omega_imag": -0.714281341729364, "omega_real": 0.213899656101677, "outgoing_phase_residual": 7.207530338191146e-15, "pencil_residual": 1.139308387939308e-15, "reference_difference": 0.6563735046009727, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.005747479121254173, "transformed_residual": 1.7451741897840176e-13, "unfactored_residual": 2.2132723191773717e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0125", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 5.376307264017898e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.567854327161774e-11, "infinity_row_residual": 3.385042756524155e-12, "ingoing_phase_residual": 7.83290047048115e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.013201701720129577, "matching_checks": [ { "best_distance": 0.0073830450286162756, "edge_kind": "resolution", "eigenfunction_mismatch": 1.766755450094415e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j3", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0073830450286162756, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j4", "reverse_second_best_gap": 0.08995189236698917, "reverse_second_distance": 0.09733493739560545, "reverse_unambiguous": true, "second_best_gap": 0.18201620250182246, "second_distance": 0.18939924753043874, "unambiguous": true }, { "best_distance": 0.05897122124203525, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0012613568480688286, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j6", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05897122124203525, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j4", "reverse_second_best_gap": 0.096304195183636, "reverse_second_distance": 0.15527541642567125, "reverse_unambiguous": true, "second_best_gap": 0.0793986894655283, "second_distance": 0.13836991070756355, "unambiguous": true }, { "best_distance": 0.15268616516357825, "edge_kind": "map", "eigenfunction_mismatch": 0.013201701720129577, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j10", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.137434106165285, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j5", "reverse_second_best_gap": 0.015252058998293239, "reverse_second_distance": 0.15268616516357825, "reverse_unambiguous": true, "second_best_gap": 0.049020137570997796, "second_distance": 0.20170630273457604, "unambiguous": true }, { "best_distance": 0.08939075767758309, "edge_kind": "map", "eigenfunction_mismatch": 0.002870581501324687, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j8", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08939075767758309, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j4", "reverse_second_best_gap": 0.08645400220686877, "reverse_second_distance": 0.17584475988445186, "reverse_unambiguous": true, "second_best_gap": 0.044813269098638336, "second_distance": 0.13420402677622142, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15268616516357825, "max_resolution_difference": 0.05897122124203525, "omega_imag": -0.6998908630813445, "omega_real": 0.309261295612765, "outgoing_phase_residual": 7.102824795756441e-15, "pencil_residual": 1.2315761752611775e-15, "reference_difference": 0.6205362837720032, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0012613568480688286, "transformed_residual": 2.0540848368233922e-13, "unfactored_residual": 2.5548478318137408e-15 }, { "N": 40, "accepted": false, "branch_id": "branch-0126", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j5", "case": "kerr-radial", "coefficient_tail": 3.211519269099371e-15, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.466363314300821e-11, "infinity_row_residual": 9.14378702750874e-12, "ingoing_phase_residual": 3.488215275901205e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0003744423737661595, "matching_checks": [ { "best_distance": 0.00017129516785721271, "edge_kind": "resolution", "eigenfunction_mismatch": 4.2708177105943435e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j5", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00017129516785721271, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j5", "reverse_second_best_gap": 0.2042577308921667, "reverse_second_distance": 0.20442902606002392, "reverse_unambiguous": true, "second_best_gap": 0.20426098224723632, "second_distance": 0.20443227741509354, "unambiguous": true }, { "best_distance": 0.00122238903392266, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1684768325425097e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j5", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00122238903392266, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j5", "reverse_second_best_gap": 0.20435071112447095, "reverse_second_distance": 0.2055731001583936, "reverse_unambiguous": true, "second_best_gap": 0.15028013689675315, "second_distance": 0.1515025259306758, "unambiguous": true }, { "best_distance": 0.015422993110412125, "edge_kind": "map", "eigenfunction_mismatch": 0.0003744423737661595, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j7", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.015422993110412125, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j5", "reverse_second_best_gap": 0.18016423575000515, "reverse_second_distance": 0.19558722886041727, "reverse_unambiguous": true, "second_best_gap": 0.09256839572986475, "second_distance": 0.10799138884027687, "unambiguous": true }, { "best_distance": 0.0025884645772416815, "edge_kind": "map", "eigenfunction_mismatch": 9.699640778015883e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j6", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0025884645772416815, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j5", "reverse_second_best_gap": 0.20424991501583542, "reverse_second_distance": 0.2068383795930771, "reverse_unambiguous": true, "second_best_gap": 0.1339350028578196, "second_distance": 0.13652346743506127, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.015422993110412125, "max_resolution_difference": 0.00122238903392266, "omega_imag": -0.4732840361465978, "omega_real": 0.34639879097898413, "outgoing_phase_residual": 9.481363131331599e-15, "pencil_residual": 2.8491374848496936e-15, "reference_difference": 0.3909077850654133, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.1684768325425097e-06, "transformed_residual": 1.2251863998982478e-12, "unfactored_residual": 1.668382846483692e-14 }, { "N": 40, "accepted": false, "branch_id": "branch-0127", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j6", "case": "kerr-radial", "coefficient_tail": 6.72933371644173e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.701672306263842e-11, "infinity_row_residual": 2.5512112631858704e-12, "ingoing_phase_residual": 6.286443593094148e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.01248915324564115, "matching_checks": [ { "best_distance": 0.06913889467539085, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009227648722692772, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N36:c1.4:j4", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.06913889467539085, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j6", "reverse_second_best_gap": 0.1202603528550479, "reverse_second_distance": 0.18939924753043874, "reverse_unambiguous": true, "second_best_gap": 0.13756031626743404, "second_distance": 0.20669921094282487, "unambiguous": true }, { "best_distance": 0.08027023085228707, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015022685754525478, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j9", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.08027023085228707, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j6", "reverse_second_best_gap": 0.11503181902452239, "reverse_second_distance": 0.19530204987680946, "reverse_unambiguous": true, "second_best_gap": 0.1197555222276129, "second_distance": 0.20002575307989998, "unambiguous": true }, { "best_distance": 0.1929170446933907, "edge_kind": "map", "eigenfunction_mismatch": 0.01248915324564115, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j11", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.1929170446933907, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j6", "reverse_second_best_gap": 0.008789258041185355, "reverse_second_distance": 0.20170630273457604, "reverse_unambiguous": true, "second_best_gap": 0.005963911756202395, "second_distance": 0.19888095644959308, "unambiguous": true }, { "best_distance": 0.11023339816778481, "edge_kind": "map", "eigenfunction_mismatch": 0.0027100950599231455, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j10", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.11023339816778481, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j6", "reverse_second_best_gap": 0.16003438397192704, "reverse_second_distance": 0.27026778213971187, "reverse_unambiguous": true, "second_best_gap": 0.06561136171666705, "second_distance": 0.17584475988445186, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.1929170446933907, "max_resolution_difference": 0.08027023085228707, "omega_imag": -0.8854337411325895, "omega_real": 0.38300394655200554, "outgoing_phase_residual": 5.536941685328984e-15, "pencil_residual": 6.491311976999398e-16, "reference_difference": 0.7985672406006612, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015022685754525478, "transformed_residual": 8.521611171139793e-14, "unfactored_residual": 9.988490294558055e-16 }, { "N": 40, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j7", "case": "kerr-radial", "coefficient_tail": 7.495643055282577e-15, "failure_reasons": [ "matching:map:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.209345290795698e-11, "infinity_row_residual": 2.646788561314649e-11, "ingoing_phase_residual": 1.754494121080853e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.915413827546786e-09, "matching_checks": [ { "best_distance": 1.0454757160991712e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 4.009237386526365e-12, "failure_reasons": [], "nearest_index": 6, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j6", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.0454757160991712e-06, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j7", "reverse_second_best_gap": 0.18670642387176448, "reverse_second_distance": 0.1867074693474806, "reverse_unambiguous": true, "second_best_gap": 0.18670736419072834, "second_distance": 0.18670840966644445, "unambiguous": true }, { "best_distance": 2.5755349751937004e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4331314740777543e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.4:j7", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5755349751937004e-06, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j7", "reverse_second_best_gap": 0.18670554537603853, "reverse_second_distance": 0.18670812091101371, "reverse_unambiguous": true, "second_best_gap": 0.1867058342370682, "second_distance": 0.1867084097720434, "unambiguous": true }, { "best_distance": 2.285080050348327e-05, "edge_kind": "map", "eigenfunction_mismatch": 1.915413827546786e-09, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j8", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 2.285080050348327e-05, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j7", "reverse_second_best_gap": 0.18669271785997774, "reverse_second_distance": 0.18671556866048122, "reverse_unambiguous": true, "second_best_gap": 0.18668557585126705, "second_distance": 0.18670842665177054, "unambiguous": true }, { "best_distance": 6.166706914604455e-06, "edge_kind": "map", "eigenfunction_mismatch": 1.3949086330455884e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j7", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.166706914604455e-06, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j7", "reverse_second_best_gap": 0.18670044738665986, "reverse_second_distance": 0.18670661409357447, "reverse_unambiguous": true, "second_best_gap": 0.18670224628122326, "second_distance": 0.18670841298813787, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 2.285080050348327e-05, "max_resolution_difference": 2.5755349751937004e-06, "omega_imag": -0.2725743065342402, "omega_real": 0.38522872648437473, "outgoing_phase_residual": 1.1905944960178994e-14, "pencil_residual": 3.678489133506149e-15, "reference_difference": 0.18670840995697516, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4331314740777543e-11, "transformed_residual": 3.3031268209651475e-12, "unfactored_residual": 7.413466757367439e-14 }, { "N": 40, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N40:c1.4:j8", "case": "kerr-radial", "coefficient_tail": 9.789637185645542e-15, "failure_reasons": [], "horizon_row_residual": 1.0749321658398521e-11, "infinity_row_residual": 2.5912226405559313e-11, "ingoing_phase_residual": 1.1289794429871398e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 1.4432899320127035e-15, "matching_checks": [ { "best_distance": 1.8754660432961444e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N36:c1.4:j7", "peer_configuration": [ "kerr-radial", 36, 1.4 ], "reciprocal": true, "reverse_best_distance": 1.8754660432961444e-09, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j8", "reverse_second_best_gap": 0.18670840779097841, "reverse_second_distance": 0.18670840966644445, "reverse_unambiguous": true, "second_best_gap": 0.18670746747201455, "second_distance": 0.1867074693474806, "unambiguous": true }, { "best_distance": 2.9711830960391613e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.4:j8", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.9711830960391613e-09, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j8", "reverse_second_best_gap": 0.1867084068008603, "reverse_second_distance": 0.1867084097720434, "reverse_unambiguous": true, "second_best_gap": 0.1867081179398306, "second_distance": 0.18670812091101371, "unambiguous": true }, { "best_distance": 1.889080075309979e-08, "edge_kind": "map", "eigenfunction_mismatch": 1.4432899320127035e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c0.7:j9", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 1.889080075309979e-08, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j8", "reverse_second_best_gap": 0.18670840776096978, "reverse_second_distance": 0.18670842665177054, "reverse_unambiguous": true, "second_best_gap": 0.18671554976968047, "second_distance": 0.18671556866048122, "unambiguous": true }, { "best_distance": 7.426749299337166e-09, "edge_kind": "map", "eigenfunction_mismatch": 4.440892098500626e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.0:j9", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.426749299337166e-09, "reverse_nearest_candidate_id": "kerr-radial:N40:c1.4:j8", "reverse_second_best_gap": 0.18670840556138857, "reverse_second_distance": 0.18670841298813787, "reverse_unambiguous": true, "second_best_gap": 0.18670660666682518, "second_distance": 0.18670661409357447, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 1.889080075309979e-08, "max_resolution_difference": 2.9711830960391613e-09, "omega_imag": -0.08725714464264239, "omega_real": 0.4079791096915231, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 2.959927962370713e-15, "reference_difference": 9.806403818610063e-10, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 4.468497318641252e-12, "unfactored_residual": 2.164604992909051e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0128", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j0", "case": "kerr-radial", "coefficient_tail": 0.002176603420039039, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.412577632542052e-08, "infinity_row_residual": 5.704667853012205e-13, "ingoing_phase_residual": 1.8027016220573426e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.02064087776408896, "matching_checks": [ { "best_distance": 0.0008164406513071126, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015331327636893821, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j0", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0008164406513071126, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j0", "reverse_second_best_gap": 0.005281419517053804, "reverse_second_distance": 0.0060978601683609164, "reverse_unambiguous": true, "second_best_gap": 0.008366023942067695, "second_distance": 0.009182464593374807, "unambiguous": true }, { "best_distance": 0.001687218393587292, "edge_kind": "map", "eigenfunction_mismatch": 0.005477073535924193, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j1", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.001687218393587292, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j0", "reverse_second_best_gap": 0.0035398664879347144, "reverse_second_distance": 0.005227084881522006, "reverse_unambiguous": true, "second_best_gap": 0.009930200179537024, "second_distance": 0.011617418573124316, "unambiguous": true }, { "best_distance": 0.003951605411017367, "edge_kind": "map", "eigenfunction_mismatch": 0.02064087776408896, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j1", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0029627028629710165, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j1", "reverse_second_best_gap": 0.0009889025480463508, "reverse_second_distance": 0.003951605411017367, "reverse_unambiguous": true, "second_best_gap": 0.014005576335826494, "second_distance": 0.01795718174684386, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.003951605411017367, "max_resolution_difference": 0.0008164406513071126, "omega_imag": -0.0039013848261836995, "omega_real": 2.761391485731829e-05, "outgoing_phase_residual": 1.4371409499813788e-12, "pencil_residual": 6.251095724380343e-14, "reference_difference": 0.4163803607521059, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015331327636893821, "transformed_residual": 0.9733857385048723, "unfactored_residual": 0.038301965535296655 }, { "N": 44, "accepted": false, "branch_id": "branch-0129", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j1", "case": "kerr-radial", "coefficient_tail": 4.389184632114226e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.7436143933887213e-08, "infinity_row_residual": 9.801487899019787e-13, "ingoing_phase_residual": 1.8075780878720776e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.00580409534083659, "matching_checks": [ { "best_distance": 0.002268166731138113, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0016095815617148679, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j2", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.002268166731138113, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j1", "reverse_second_best_gap": 0.006894340122660206, "reverse_second_distance": 0.00916250685379832, "reverse_unambiguous": true, "second_best_gap": 0.0038296934372228034, "second_distance": 0.0060978601683609164, "unambiguous": true }, { "best_distance": 0.004703121837678864, "edge_kind": "map", "eigenfunction_mismatch": 0.00580409534083659, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j3", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.004703121837678864, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j1", "reverse_second_best_gap": 0.002024431521012964, "reverse_second_distance": 0.006727553358691828, "reverse_unambiguous": true, "second_best_gap": 0.0005239630438431423, "second_distance": 0.005227084881522006, "unambiguous": true }, { "best_distance": 0.0029627028629710165, "edge_kind": "map", "eigenfunction_mismatch": 0.004474410669965345, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j1", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0029627028629710165, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j1", "reverse_second_best_gap": 0.0009889025480463508, "reverse_second_distance": 0.003951605411017367, "reverse_unambiguous": true, "second_best_gap": 0.008080189340613362, "second_distance": 0.011042892203584379, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.004703121837678864, "max_resolution_difference": 0.002268166731138113, "omega_imag": -0.010815643536260102, "omega_real": 5.0993683793341365e-05, "outgoing_phase_residual": 5.184103956611063e-13, "pencil_residual": 4.29206195108524e-14, "reference_difference": 0.4150284931650178, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0016095815617148679, "transformed_residual": 0.008356570504926093, "unfactored_residual": 0.0004412293856711769 }, { "N": 44, "accepted": false, "branch_id": "branch-0134", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j2", "case": "kerr-radial", "coefficient_tail": 8.711614007872365e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8170794597809514e-09, "infinity_row_residual": 5.872974198033594e-12, "ingoing_phase_residual": 2.097323299347471e-08, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.002052093856219628, "matching_checks": [ { "best_distance": 0.00832865601439166, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017928096922088521, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j1", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00832865601439166, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j2", "reverse_second_best_gap": 0.017085839698863285, "reverse_second_distance": 0.025414495713254947, "reverse_unambiguous": true, "second_best_gap": 0.00407464771093289, "second_distance": 0.01240330372532455, "unambiguous": true }, { "best_distance": 0.0073387654613687675, "edge_kind": "map", "eigenfunction_mismatch": 0.002052093856219628, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j2", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0073387654613687675, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j2", "reverse_second_best_gap": 0.0024083178450867463, "reverse_second_distance": 0.009747083306455514, "reverse_unambiguous": true, "second_best_gap": 0.010080340275378148, "second_distance": 0.017419105736746914, "unambiguous": true }, { "best_distance": 0.005888361647442458, "edge_kind": "map", "eigenfunction_mismatch": 0.000945649169017071, "failure_reasons": [ "frequency_difference" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j0", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.005888361647442458, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j2", "reverse_second_best_gap": 0.01708580145392429, "reverse_second_distance": 0.02297416310136675, "reverse_unambiguous": true, "second_best_gap": 0.011585266014311868, "second_distance": 0.017473627661754327, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0073387654613687675, "max_resolution_difference": 0.00832865601439166, "omega_imag": -0.039332149733301125, "omega_real": 5.4989926118657306e-05, "outgoing_phase_residual": 1.4253643683539567e-13, "pencil_residual": 2.203866572699224e-14, "reference_difference": 0.41072970654183777, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0017928096922088521, "transformed_residual": 4.03594880188317e-06, "unfactored_residual": 3.6132437999168136e-07 }, { "N": 44, "accepted": false, "branch_id": "branch-0135", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j3", "case": "kerr-radial", "coefficient_tail": 1.7015357791755103e-06, "failure_reasons": [ "local:transformed_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.823137938479181e-09, "infinity_row_residual": 2.7142611697543013e-12, "ingoing_phase_residual": 1.8725200730223032e-08, "local_pass": false, "map": 0.7, "map_eigenfunction_mismatch": 0.005925989255014752, "matching_checks": [ { "best_distance": 0.00468254635439074, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017091320671608345, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j3", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00468254635439074, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j3", "reverse_second_best_gap": 0.00772075737093381, "reverse_second_distance": 0.01240330372532455, "reverse_unambiguous": true, "second_best_gap": 0.004479960499407579, "second_distance": 0.00916250685379832, "unambiguous": true }, { "best_distance": 0.006727553358691828, "edge_kind": "map", "eigenfunction_mismatch": 0.005925989255014752, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j3", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.004703121837678864, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j1", "reverse_second_best_gap": 0.002024431521012964, "reverse_second_distance": 0.006727553358691828, "reverse_unambiguous": true, "second_best_gap": 0.003019529947763686, "second_distance": 0.009747083306455514, "unambiguous": true }, { "best_distance": 0.0003877794897941969, "edge_kind": "map", "eigenfunction_mismatch": 1.4382518774391784e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j2", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0003877794897941969, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j3", "reverse_second_best_gap": 0.010655112713790183, "reverse_second_distance": 0.011042892203584379, "reverse_unambiguous": true, "second_best_gap": 0.014005594007845347, "second_distance": 0.014393373497639543, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.006727553358691828, "max_resolution_difference": 0.00468254635439074, "omega_imag": -0.022246304839432077, "omega_real": 6.5616144867992e-05, "outgoing_phase_residual": 2.520329113672452e-13, "pencil_residual": 3.08465818943974e-14, "reference_difference": 0.4130615289821427, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0017091320671608345, "transformed_residual": 0.00013642516221940013, "unfactored_residual": 1.0731891167224294e-05 }, { "N": 44, "accepted": false, "branch_id": "branch-0136", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j4", "case": "kerr-radial", "coefficient_tail": 1.1384501397548734e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.25115904382385e-11, "infinity_row_residual": 2.73373246020133e-11, "ingoing_phase_residual": 1.0691454590408348e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.09442918774507536, "matching_checks": [ { "best_distance": 0.006757784133804572, "edge_kind": "resolution", "eigenfunction_mismatch": 8.194232894886966e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j4", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.006757784133804572, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j4", "reverse_second_best_gap": 0.11890590231458456, "reverse_second_distance": 0.12566368644838913, "reverse_unambiguous": true, "second_best_gap": 0.138415812303332, "second_distance": 0.14517359643713657, "unambiguous": true }, { "best_distance": 0.04490144165766365, "edge_kind": "map", "eigenfunction_mismatch": 0.0002486953405277381, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j4", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.04490144165766365, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j4", "reverse_second_best_gap": 0.05801872267521568, "reverse_second_distance": 0.10292016433287933, "reverse_unambiguous": true, "second_best_gap": 0.1392520397537527, "second_distance": 0.18415348141141635, "unambiguous": true }, { "best_distance": 0.19567458402547944, "edge_kind": "map", "eigenfunction_mismatch": 0.09442918774507536, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j0", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.005888361647442458, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j2", "reverse_second_best_gap": 0.01708580145392429, "reverse_second_distance": 0.02297416310136675, "reverse_unambiguous": true, "second_best_gap": 0.023345670327432816, "second_distance": 0.21902025435291225, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.19567458402547944, "max_resolution_difference": 0.006757784133804572, "omega_imag": -0.24075599100316256, "omega_real": 0.007398902338106529, "outgoing_phase_residual": 2.3151411280242145e-14, "pencil_residual": 5.449797099743072e-15, "reference_difference": 0.4289829804859477, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.194232894886966e-06, "transformed_residual": 5.867173389663889e-12, "unfactored_residual": 1.7470424750366192e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0137", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j5", "case": "kerr-radial", "coefficient_tail": 1.0404804676582625e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.8465310330643942e-11, "infinity_row_residual": 2.6140877308883725e-11, "ingoing_phase_residual": 1.7000898661061957e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.005465975104219978, "matching_checks": [ { "best_distance": 0.04016601303050278, "edge_kind": "resolution", "eigenfunction_mismatch": 0.00033666865702863813, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j5", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04016601303050278, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j5", "reverse_second_best_gap": 0.10500758340663378, "reverse_second_distance": 0.14517359643713657, "reverse_unambiguous": true, "second_best_gap": 0.08549767341788635, "second_distance": 0.12566368644838913, "unambiguous": true }, { "best_distance": 0.10292016433287933, "edge_kind": "map", "eigenfunction_mismatch": 0.0011591704090303523, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j4", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.04490144165766365, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j4", "reverse_second_best_gap": 0.05801872267521568, "reverse_second_distance": 0.10292016433287933, "reverse_unambiguous": true, "second_best_gap": 0.0013402036609225787, "second_distance": 0.10426036799380191, "unambiguous": true }, { "best_distance": 0.15924506367052388, "edge_kind": "map", "eigenfunction_mismatch": 0.005465975104219978, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j3", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.15924506367052388, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j5", "reverse_second_best_gap": 0.05391969752005585, "reverse_second_distance": 0.21316476119057973, "reverse_unambiguous": true, "second_best_gap": 0.12985013437567677, "second_distance": 0.28909519804620065, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15924506367052388, "max_resolution_difference": 0.04016601303050278, "omega_imag": -0.3168926537404774, "omega_real": 0.09886862838206734, "outgoing_phase_residual": 1.6761909009268894e-14, "pencil_residual": 3.807152026215348e-15, "reference_difference": 0.3850737020982693, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.00033666865702863813, "transformed_residual": 4.4079773336163685e-12, "unfactored_residual": 9.622075269836971e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0138", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j6", "case": "kerr-radial", "coefficient_tail": 8.985269730415929e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.399727315117244e-12, "infinity_row_residual": 3.148688000854448e-11, "ingoing_phase_residual": 2.596361602785322e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.020591074400718612, "matching_checks": [ { "best_distance": 0.05308632759764006, "edge_kind": "resolution", "eigenfunction_mismatch": 0.002187974635485812, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j6", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.05308632759764006, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j6", "reverse_second_best_gap": 0.07801091803819127, "reverse_second_distance": 0.13109724563583133, "reverse_unambiguous": true, "second_best_gap": 0.0914226673386152, "second_distance": 0.14450899493625527, "unambiguous": true }, { "best_distance": 0.13592696574894536, "edge_kind": "map", "eigenfunction_mismatch": 0.01139585822254019, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j6", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.13592696574894536, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j6", "reverse_second_best_gap": 0.04159835829040587, "reverse_second_distance": 0.17752532403935123, "reverse_unambiguous": true, "second_best_gap": 0.0014418662046515596, "second_distance": 0.13736883195359692, "unambiguous": true }, { "best_distance": 0.13799432594635824, "edge_kind": "map", "eigenfunction_mismatch": 0.020591074400718612, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j5", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.042525041810062496, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j7", "reverse_second_best_gap": 0.09221110442888808, "reverse_second_distance": 0.13473614623895058, "reverse_unambiguous": true, "second_best_gap": 0.04895907588510376, "second_distance": 0.186953401831462, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13799432594635824, "max_resolution_difference": 0.05308632759764006, "omega_imag": -0.3885784627155421, "omega_real": 0.23862087955284103, "outgoing_phase_residual": 1.2139185862028277e-14, "pencil_residual": 3.2235996787273226e-15, "reference_difference": 0.34565408496655364, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.002187974635485812, "transformed_residual": 3.986548857627899e-12, "unfactored_residual": 6.498869308820002e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0139", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j7", "case": "kerr-radial", "coefficient_tail": 8.407495797062166e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.2138165297060675e-11, "infinity_row_residual": 4.200204157948986e-11, "ingoing_phase_residual": 3.053497549898373e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.0032261220823726067, "matching_checks": [ { "best_distance": 0.028100230556479488, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015267425335049323, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j7", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.028100230556479488, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j7", "reverse_second_best_gap": 0.10273203644376257, "reverse_second_distance": 0.13083226700024206, "reverse_unambiguous": true, "second_best_gap": 0.10299701507935184, "second_distance": 0.13109724563583133, "unambiguous": true }, { "best_distance": 0.03994223209451235, "edge_kind": "map", "eigenfunction_mismatch": 0.0028782125345642173, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j7", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.03994223209451235, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j7", "reverse_second_best_gap": 0.09564097510018336, "reverse_second_distance": 0.13558320719469572, "reverse_unambiguous": true, "second_best_gap": 0.13004347900002022, "second_distance": 0.1699857110945326, "unambiguous": true }, { "best_distance": 0.042525041810062496, "edge_kind": "map", "eigenfunction_mismatch": 0.0032261220823726067, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j5", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.042525041810062496, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j7", "reverse_second_best_gap": 0.09221110442888808, "reverse_second_distance": 0.13473614623895058, "reverse_unambiguous": true, "second_best_gap": 0.1274610441619691, "second_distance": 0.1699860859720316, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.042525041810062496, "max_resolution_difference": 0.028100230556479488, "omega_imag": -0.44220831794034554, "omega_real": 0.37429603847619186, "outgoing_phase_residual": 9.681883197664364e-15, "pencil_residual": 3.452663155310116e-15, "reference_difference": 0.35654576786154135, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015267425335049323, "transformed_residual": 3.6360775651259032e-12, "unfactored_residual": 4.9145669399983227e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0140", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j8", "case": "kerr-radial", "coefficient_tail": 1.0415849807344375e-13, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.8375819333009273e-11, "infinity_row_residual": 1.0466804773511509e-10, "ingoing_phase_residual": 1.7538123993172607e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 8.671962004047629e-08, "matching_checks": [ { "best_distance": 0.00015493417546108326, "edge_kind": "resolution", "eigenfunction_mismatch": 8.807709228619842e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j8", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00015493417546108326, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j8", "reverse_second_best_gap": 0.1698226133753037, "reverse_second_distance": 0.16997754755076477, "reverse_unambiguous": true, "second_best_gap": 0.18640664118644762, "second_distance": 0.1865615753619087, "unambiguous": true }, { "best_distance": 0.00015374223442112268, "edge_kind": "map", "eigenfunction_mismatch": 8.671962004047629e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j9", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.00015374223442112268, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j8", "reverse_second_best_gap": 0.16983196886011145, "reverse_second_distance": 0.1699857110945326, "reverse_unambiguous": true, "second_best_gap": 0.1864078129001399, "second_distance": 0.18656155513456105, "unambiguous": true }, { "best_distance": 0.00015092633414914958, "edge_kind": "map", "eigenfunction_mismatch": 8.357430691940948e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j7", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00015092633414914958, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j8", "reverse_second_best_gap": 0.16983515963788245, "reverse_second_distance": 0.1699860859720316, "reverse_unambiguous": true, "second_best_gap": 0.18641063215054976, "second_distance": 0.1865615584846989, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00015374223442112268, "max_resolution_difference": 0.00015493417546108326, "omega_imag": -0.2724332459507161, "omega_real": 0.3852849087524803, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 5.314639426043263e-15, "reference_difference": 0.18656155866921983, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 8.807709228619842e-08, "transformed_residual": 6.727245920491587e-12, "unfactored_residual": 1.5106599308617753e-13 }, { "N": 44, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j9", "case": "kerr-radial", "coefficient_tail": 1.0211938164297625e-13, "failure_reasons": [], "horizon_row_residual": 9.015519627121296e-11, "infinity_row_residual": 1.1587720764717946e-10, "ingoing_phase_residual": 1.1289793149219622e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 9.992007221626409e-15, "matching_checks": [ { "best_distance": 5.4002726466902596e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 1.27675647831893e-14, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c0.7:j9", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 5.4002726466902596e-08, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j9", "reverse_second_best_gap": 0.18656152135918225, "reverse_second_distance": 0.1865615753619087, "reverse_unambiguous": true, "second_best_gap": 0.1867155215666403, "second_distance": 0.18671557556936677, "unambiguous": true }, { "best_distance": 4.8180853170939755e-08, "edge_kind": "map", "eigenfunction_mismatch": 9.992007221626409e-15, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.0:j10", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 4.8180853170939755e-08, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j9", "reverse_second_best_gap": 0.18656150695370788, "reverse_second_distance": 0.18656155513456105, "reverse_unambiguous": true, "second_best_gap": 0.1867089022091465, "second_distance": 0.18670895038999966, "unambiguous": true }, { "best_distance": 4.161856146136043e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.438494264988549e-15, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.4:j8", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 4.161856146136043e-08, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j9", "reverse_second_best_gap": 0.18656151686613745, "reverse_second_distance": 0.1865615584846989, "reverse_unambiguous": true, "second_best_gap": 0.1867080861968355, "second_distance": 0.18670812781539695, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.8180853170939755e-08, "max_resolution_difference": 5.4002726466902596e-08, "omega_imag": -0.08725713243891829, "omega_real": 0.40797906694206904, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 7.91516514792879e-15, "reference_difference": 4.354560247381729e-08, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.27675647831893e-14, "transformed_residual": 7.781882883513404e-12, "unfactored_residual": 3.769026408314925e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0130", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j10", "case": "kerr-radial", "coefficient_tail": 4.4847144776623094e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.681304947697331e-12, "infinity_row_residual": 2.2805865298751995e-11, "ingoing_phase_residual": 3.9750868000398306e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.02915508952341661, "matching_checks": [ { "best_distance": 0.03949821792625668, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0024473170145649092, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j10", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03949821792625668, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j10", "reverse_second_best_gap": 0.11558478222355259, "reverse_second_distance": 0.15508300014980927, "reverse_unambiguous": true, "second_best_gap": 0.09133404907398537, "second_distance": 0.13083226700024206, "unambiguous": true }, { "best_distance": 0.10366026874622523, "edge_kind": "map", "eigenfunction_mismatch": 0.011611890295989968, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j8", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.10366026874622523, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j10", "reverse_second_best_gap": 0.06709708915051539, "reverse_second_distance": 0.17075735789674062, "reverse_unambiguous": true, "second_best_gap": 0.03192293844847048, "second_distance": 0.13558320719469572, "unambiguous": true }, { "best_distance": 0.13473614623895058, "edge_kind": "map", "eigenfunction_mismatch": 0.02915508952341661, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j5", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.042525041810062496, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j7", "reverse_second_best_gap": 0.09221110442888808, "reverse_second_distance": 0.13473614623895058, "reverse_unambiguous": true, "second_best_gap": 0.010038037719080795, "second_distance": 0.14477418395803138, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13473614623895058, "max_resolution_difference": 0.03949821792625668, "omega_imag": -0.5651898515739301, "omega_real": 0.44624586874192146, "outgoing_phase_residual": 7.768586791516101e-15, "pencil_residual": 2.4663685829910057e-15, "reference_difference": 0.47946221664329247, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0024473170145649092, "transformed_residual": 1.6236429260555184e-12, "unfactored_residual": 1.9933981163512822e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0131", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j11", "case": "kerr-radial", "coefficient_tail": 1.7943440385834273e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.736153895204641e-12, "infinity_row_residual": 7.305548037728716e-12, "ingoing_phase_residual": 4.509070443018356e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.009675770026954078, "matching_checks": [ { "best_distance": 0.023772122010680147, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0005676031172456852, "failure_reasons": [ "frequency_difference" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j11", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.023772122010680147, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j11", "reverse_second_best_gap": 0.09804695563956624, "reverse_second_distance": 0.12181907765024638, "reverse_unambiguous": true, "second_best_gap": 0.1321092677674317, "second_distance": 0.15588138977811186, "unambiguous": true }, { "best_distance": 0.08107440996376454, "edge_kind": "map", "eigenfunction_mismatch": 0.004360983114596317, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j11", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08107440996376454, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j11", "reverse_second_best_gap": 0.08383845958538606, "reverse_second_distance": 0.1649128695491506, "reverse_unambiguous": true, "second_best_gap": 0.08968294793297608, "second_distance": 0.17075735789674062, "unambiguous": true }, { "best_distance": 0.13900185808551338, "edge_kind": "map", "eigenfunction_mismatch": 0.009675770026954078, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j9", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.13339395277782395, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.005607905307689426, "reverse_second_distance": 0.13900185808551338, "reverse_unambiguous": true, "second_best_gap": 0.00929224221170849, "second_distance": 0.14829410029722187, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13900185808551338, "max_resolution_difference": 0.023772122010680147, "omega_imag": -0.7146454433047763, "omega_real": 0.5121103590473844, "outgoing_phase_residual": 6.35063097490511e-15, "pencil_residual": 1.224068274098481e-15, "reference_difference": 0.6359712214219447, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0005676031172456852, "transformed_residual": 4.583539172360846e-13, "unfactored_residual": 5.2859362993838025e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0132", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j12", "case": "kerr-radial", "coefficient_tail": 1.2432989266134812e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.184836607364856e-12, "infinity_row_residual": 2.3042033392204207e-12, "ingoing_phase_residual": 4.3599912181644106e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.008212964890599417, "matching_checks": [ { "best_distance": 0.06425099730349704, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0033099078143546956, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j12", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06425099730349704, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.06271387199167297, "reverse_second_distance": 0.12696486929517, "reverse_unambiguous": true, "second_best_gap": 0.057568080346749345, "second_distance": 0.12181907765024638, "unambiguous": true }, { "best_distance": 0.06277497798512129, "edge_kind": "map", "eigenfunction_mismatch": 0.002638173909931041, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j12", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.06277497798512129, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.10017080862655968, "reverse_second_distance": 0.16294578661168097, "reverse_unambiguous": true, "second_best_gap": 0.10213789156402932, "second_distance": 0.1649128695491506, "unambiguous": true }, { "best_distance": 0.13339395277782395, "edge_kind": "map", "eigenfunction_mismatch": 0.008212964890599417, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j9", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.13339395277782395, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.005607905307689426, "reverse_second_distance": 0.13900185808551338, "reverse_unambiguous": true, "second_best_gap": 0.1276181244418892, "second_distance": 0.26101207721971315, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13339395277782395, "max_resolution_difference": 0.06425099730349704, "omega_imag": -0.8350036988162649, "omega_real": 0.5809519281541954, "outgoing_phase_residual": 5.307051865840293e-15, "pencil_residual": 6.57092371994696e-16, "reference_difference": 0.7674923487590968, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0033099078143546956, "transformed_residual": 1.6883641882577355e-13, "unfactored_residual": 1.909840329366099e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0133", "branch_unique": true, "candidate_id": "kerr-radial:N44:c0.7:j13", "case": "kerr-radial", "coefficient_tail": 1.2740552891577008e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.2087612067032191e-12, "infinity_row_residual": 2.647592262091128e-12, "ingoing_phase_residual": 3.993664238805249e-07, "local_pass": true, "map": 0.7, "map_eigenfunction_mismatch": 0.028273889405752484, "matching_checks": [ { "best_distance": 0.12696486929517, "edge_kind": "resolution", "eigenfunction_mismatch": 0.014479184986903149, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N40:c0.7:j12", "peer_configuration": [ "kerr-radial", 40, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.06425099730349704, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.06271387199167297, "reverse_second_distance": 0.12696486929517, "reverse_unambiguous": true, "second_best_gap": 0.17053674303825553, "second_distance": 0.29750161233342554, "unambiguous": true }, { "best_distance": 0.16294578661168097, "edge_kind": "map", "eigenfunction_mismatch": 0.018048896017085148, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j12", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.06277497798512129, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.10017080862655968, "reverse_second_distance": 0.16294578661168097, "reverse_unambiguous": true, "second_best_gap": 0.16931606686777528, "second_distance": 0.33226185347945625, "unambiguous": true }, { "best_distance": 0.27166188451240497, "edge_kind": "map", "eigenfunction_mismatch": 0.028273889405752484, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j9", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.13339395277782395, "reverse_nearest_candidate_id": "kerr-radial:N44:c0.7:j12", "reverse_second_best_gap": 0.005607905307689426, "reverse_second_distance": 0.13900185808551338, "reverse_unambiguous": true, "second_best_gap": 0.15767610221995831, "second_distance": 0.4293379867323633, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.27166188451240497, "max_resolution_difference": 0.12696486929517, "omega_imag": -0.9815885814396849, "omega_real": 0.6780527746557654, "outgoing_phase_residual": 4.577566798522238e-15, "pencil_residual": 6.736146237617014e-16, "reference_difference": 0.9342208002989657, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.014479184986903149, "transformed_residual": 1.443336586402009e-13, "unfactored_residual": 1.5607178623284934e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0141", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j0", "case": "kerr-radial", "coefficient_tail": 7.323689588086058e-08, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 4.020750075545022e-09, "infinity_row_residual": 5.534360815003118e-12, "ingoing_phase_residual": 2.4613302519574633e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.006519487423411352, "matching_checks": [ { "best_distance": 0.017960641367504693, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0070181279211982694, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j1", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.006797217958764924, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j2", "reverse_second_best_gap": 0.01116342340873977, "reverse_second_distance": 0.017960641367504693, "reverse_unambiguous": true, "second_best_gap": 0.019998782345191965, "second_distance": 0.03795942371269666, "unambiguous": true }, { "best_distance": 0.017419105736746914, "edge_kind": "map", "eigenfunction_mismatch": 0.006519487423411352, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j2", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.0073387654613687675, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j2", "reverse_second_best_gap": 0.010080340275378148, "reverse_second_distance": 0.017419105736746914, "reverse_unambiguous": true, "second_best_gap": 0.0170858215511443, "second_distance": 0.034504927287891216, "unambiguous": true }, { "best_distance": 0.011530764357963635, "edge_kind": "map", "eigenfunction_mismatch": 0.0025118868787126214, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j0", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.011530764357963635, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j0", "reverse_second_best_gap": 0.0016963322250060416, "reverse_second_distance": 0.013227096582969677, "reverse_unambiguous": true, "second_best_gap": 0.023361942270422806, "second_distance": 0.03489270662838644, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.017419105736746914, "max_resolution_difference": 0.017960641367504693, "omega_imag": -0.05675117135845052, "omega_real": 8.577679610551666e-07, "outgoing_phase_residual": 9.877806045469113e-14, "pencil_residual": 3.316281720748356e-14, "reference_difference": 0.4091171808391477, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0070181279211982694, "transformed_residual": 2.5726617373102364e-06, "unfactored_residual": 2.215215944836282e-07 }, { "N": 44, "accepted": false, "branch_id": "branch-0142", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j1", "case": "kerr-radial", "coefficient_tail": 0.0021446539792459624, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.881079110533355e-08, "infinity_row_residual": 1.1260663504104173e-12, "ingoing_phase_residual": 1.8014720742369116e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.005477073535924082, "matching_checks": [ { "best_distance": 0.0011734684998451512, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001561430151472587, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j0", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0011734684998451512, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j1", "reverse_second_best_gap": 0.007583272665004195, "reverse_second_distance": 0.008756741164849346, "reverse_unambiguous": true, "second_best_gap": 0.012029788203811176, "second_distance": 0.013203256703656328, "unambiguous": true }, { "best_distance": 0.001687218393587292, "edge_kind": "map", "eigenfunction_mismatch": 0.005477073535924082, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j0", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.001687218393587292, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j1", "reverse_second_best_gap": 0.009930200179537024, "reverse_second_distance": 0.011617418573124316, "reverse_unambiguous": true, "second_best_gap": 0.0035398664879347144, "second_distance": 0.005227084881522006, "unambiguous": true }, { "best_distance": 0.0022643876381041894, "edge_kind": "map", "eigenfunction_mismatch": 0.004971968250956027, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j1", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0022643876381041894, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j1", "reverse_second_best_gap": 0.005401436273786283, "reverse_second_distance": 0.007665823911890472, "reverse_unambiguous": true, "second_best_gap": 0.01400558627835684, "second_distance": 0.01626997391646103, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0022643876381041894, "max_resolution_difference": 0.0011734684998451512, "omega_imag": -0.005588577645198348, "omega_real": 3.6903647075555026e-05, "outgoing_phase_residual": 1.0032736512311777e-12, "pencil_residual": 5.328310107394757e-14, "reference_difference": 0.41603677424788527, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001561430151472587, "transformed_residual": 0.7413960900360955, "unfactored_residual": 0.0321536427331965 }, { "N": 44, "accepted": false, "branch_id": "branch-0145", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j2", "case": "kerr-radial", "coefficient_tail": 1.5498494834994818e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 8.152302205730409e-09, "infinity_row_residual": 3.4529920619408685e-12, "ingoing_phase_residual": 1.983064400043548e-08, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.006813043241926331, "matching_checks": [ { "best_distance": 0.006797217958764924, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0017854210253753777, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j1", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.006797217958764924, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j2", "reverse_second_best_gap": 0.01116342340873977, "reverse_second_distance": 0.017960641367504693, "reverse_unambiguous": true, "second_best_gap": 0.006404367012038542, "second_distance": 0.013201584970803466, "unambiguous": true }, { "best_distance": 0.0073387654613687675, "edge_kind": "map", "eigenfunction_mismatch": 0.002052093856219628, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j2", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0073387654613687675, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j2", "reverse_second_best_gap": 0.010080340275378148, "reverse_second_distance": 0.017419105736746914, "reverse_unambiguous": true, "second_best_gap": 0.0024083178450867463, "second_distance": 0.009747083306455514, "unambiguous": true }, { "best_distance": 0.010134862729905275, "edge_kind": "map", "eigenfunction_mismatch": 0.006813043241926331, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j2", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.0063397743495032305, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j3", "reverse_second_best_gap": 0.0037950883804020443, "reverse_second_distance": 0.010134862729905275, "reverse_unambiguous": true, "second_best_gap": 0.003092233853064402, "second_distance": 0.013227096582969677, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.010134862729905275, "max_resolution_difference": 0.006797217958764924, "omega_imag": -0.03199338737435754, "omega_real": 6.173795782937842e-05, "outgoing_phase_residual": 1.7524093230309685e-13, "pencil_residual": 4.205442194191385e-14, "reference_difference": 0.4116438560739337, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0017854210253753777, "transformed_residual": 8.607669695246893e-05, "unfactored_residual": 7.535232097054223e-06 }, { "N": 44, "accepted": false, "branch_id": "branch-0146", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j3", "case": "kerr-radial", "coefficient_tail": 4.202658703303199e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.663949352171985e-08, "infinity_row_residual": 2.0826687426931907e-12, "ingoing_phase_residual": 1.8255996567671082e-08, "local_pass": false, "map": 1.0, "map_eigenfunction_mismatch": 0.00580409534083659, "matching_checks": [ { "best_distance": 0.0032730525932051896, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0016676973919753646, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j2", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0032730525932051896, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j3", "reverse_second_best_gap": 0.009928532377598276, "reverse_second_distance": 0.013201584970803466, "reverse_unambiguous": true, "second_best_gap": 0.005483688571644156, "second_distance": 0.008756741164849346, "unambiguous": true }, { "best_distance": 0.004703121837678864, "edge_kind": "map", "eigenfunction_mismatch": 0.00580409534083659, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j1", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.004703121837678864, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j3", "reverse_second_best_gap": 0.0005239630438431423, "reverse_second_distance": 0.005227084881522006, "reverse_unambiguous": true, "second_best_gap": 0.002024431521012964, "second_distance": 0.006727553358691828, "unambiguous": true }, { "best_distance": 0.0063397743495032305, "edge_kind": "map", "eigenfunction_mismatch": 0.005359894619668237, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j2", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0063397743495032305, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j3", "reverse_second_best_gap": 0.0037950883804020443, "reverse_second_distance": 0.010134862729905275, "reverse_unambiguous": true, "second_best_gap": 0.001326049562387242, "second_distance": 0.007665823911890472, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0063397743495032305, "max_resolution_difference": 0.0032730525932051896, "omega_imag": -0.015518752439928205, "omega_real": 6.202365612451264e-05, "outgoing_phase_residual": 3.6129900144697387e-13, "pencil_residual": 4.802177167985859e-14, "reference_difference": 0.4141771905989009, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0016676973919753646, "transformed_residual": 0.005137755112886369, "unfactored_residual": 0.00033858958593551493 }, { "N": 44, "accepted": false, "branch_id": "branch-0147", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j4", "case": "kerr-radial", "coefficient_tail": 2.9263519393625277e-13, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.737740729366118e-10, "infinity_row_residual": 1.822770983362429e-11, "ingoing_phase_residual": 1.392001747720134e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0056003546583590635, "matching_checks": [ { "best_distance": 0.19965100936915126, "edge_kind": "resolution", "eigenfunction_mismatch": 0.006795632820769892, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j3", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.0647137386917896, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j5", "reverse_second_best_gap": 0.10665745601306427, "reverse_second_distance": 0.17137119470485387, "reverse_unambiguous": true, "second_best_gap": 0.04675228245928659, "second_distance": 0.24640329182843784, "unambiguous": true }, { "best_distance": 0.04490144165766365, "edge_kind": "map", "eigenfunction_mismatch": 0.0002486953405277381, "failure_reasons": [ "frequency_difference" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j4", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.04490144165766365, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j4", "reverse_second_best_gap": 0.1392520397537527, "reverse_second_distance": 0.18415348141141635, "reverse_unambiguous": true, "second_best_gap": 0.05801872267521568, "second_distance": 0.10292016433287933, "unambiguous": true }, { "best_distance": 0.18355440922680152, "edge_kind": "map", "eigenfunction_mismatch": 0.0056003546583590635, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j3", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.05719524015136236, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j5", "reverse_second_best_gap": 0.12635916907543915, "reverse_second_distance": 0.18355440922680152, "reverse_unambiguous": true, "second_best_gap": 0.0564191746963999, "second_distance": 0.23997358392320142, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.18355440922680152, "max_resolution_difference": 0.19965100936915126, "omega_imag": -0.2851922200591831, "omega_real": 0.0009521194026069546, "outgoing_phase_residual": 1.9485564604004846e-14, "pencil_residual": 4.745462903165627e-15, "reference_difference": 0.45260276631083934, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.006795632820769892, "transformed_residual": 6.542918361901028e-12, "unfactored_residual": 1.6498859105753358e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0148", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j5", "case": "kerr-radial", "coefficient_tail": 2.5381071632498568e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.870277389891259e-11, "infinity_row_residual": 1.5709972397970477e-11, "ingoing_phase_residual": 2.9753611919598003e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.002327873932519653, "matching_checks": [ { "best_distance": 0.0647137386917896, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0011077622959519973, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j3", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0647137386917896, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j5", "reverse_second_best_gap": 0.10665745601306427, "reverse_second_distance": 0.17137119470485387, "reverse_unambiguous": true, "second_best_gap": 0.17884662378073224, "second_distance": 0.24356036247252183, "unambiguous": true }, { "best_distance": 0.10426036799380191, "edge_kind": "map", "eigenfunction_mismatch": 0.002327873932519653, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j5", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.10292016433287933, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j4", "reverse_second_best_gap": 0.0013402036609225787, "reverse_second_distance": 0.10426036799380191, "reverse_unambiguous": true, "second_best_gap": 0.0647935083262459, "second_distance": 0.1690538763200478, "unambiguous": true }, { "best_distance": 0.05719524015136236, "edge_kind": "map", "eigenfunction_mismatch": 0.0008483078965254576, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j3", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05719524015136236, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j5", "reverse_second_best_gap": 0.12635916907543915, "reverse_second_distance": 0.18355440922680152, "reverse_unambiguous": true, "second_best_gap": 0.17623314204085927, "second_distance": 0.23342838219222165, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10426036799380191, "max_resolution_difference": 0.0647137386917896, "omega_imag": -0.41765437812297124, "omega_real": 0.07208618574385103, "outgoing_phase_residual": 1.3050198230917031e-14, "pencil_residual": 2.3215220134225337e-15, "reference_difference": 0.4711543139271651, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0011077622959519973, "transformed_residual": 1.135378167983592e-12, "unfactored_residual": 2.014675624084165e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0149", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j6", "case": "kerr-radial", "coefficient_tail": 8.786001028308788e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.3921393452674896e-11, "infinity_row_residual": 1.3914840316994958e-11, "ingoing_phase_residual": 5.249485132131125e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.01139585822254019, "matching_checks": [ { "best_distance": 0.06748316722725595, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0021204766393787544, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j5", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.06748316722725595, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j6", "reverse_second_best_gap": 0.052256674593533115, "reverse_second_distance": 0.11973984182078906, "reverse_unambiguous": true, "second_best_gap": 0.07148795696456137, "second_distance": 0.1389711241918173, "unambiguous": true }, { "best_distance": 0.13592696574894536, "edge_kind": "map", "eigenfunction_mismatch": 0.01139585822254019, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j6", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.13592696574894536, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j6", "reverse_second_best_gap": 0.0014418662046515596, "reverse_second_distance": 0.13736883195359692, "reverse_unambiguous": true, "second_best_gap": 0.04159835829040587, "second_distance": 0.17752532403935123, "unambiguous": true }, { "best_distance": 0.062393132949098914, "edge_kind": "map", "eigenfunction_mismatch": 0.0017270115080011417, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j4", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.062393132949098914, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j6", "reverse_second_best_gap": 0.0717522613865801, "reverse_second_distance": 0.134145394335679, "reverse_unambiguous": true, "second_best_gap": 0.07678090490331714, "second_distance": 0.13917403785241605, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13592696574894536, "max_resolution_difference": 0.06748316722725595, "omega_imag": -0.5226139078263307, "omega_real": 0.2160235462661953, "outgoing_phase_residual": 9.742207041085749e-15, "pencil_residual": 1.941500499942598e-15, "reference_difference": 0.4757966468185486, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0021204766393787544, "transformed_residual": 6.959031633581999e-13, "unfactored_residual": 9.996199253169867e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0150", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j7", "case": "kerr-radial", "coefficient_tail": 5.630098292715731e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.720592696417647e-11, "infinity_row_residual": 2.278256788972401e-11, "ingoing_phase_residual": 3.4675822771342487e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.0028782125345641063, "matching_checks": [ { "best_distance": 0.003884952388736791, "edge_kind": "resolution", "eigenfunction_mismatch": 2.2049402866319845e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j6", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.003884952388736791, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j7", "reverse_second_best_gap": 0.13508617180308052, "reverse_second_distance": 0.1389711241918173, "reverse_unambiguous": true, "second_best_gap": 0.134454632918189, "second_distance": 0.13833958530692578, "unambiguous": true }, { "best_distance": 0.03994223209451235, "edge_kind": "map", "eigenfunction_mismatch": 0.0028782125345641063, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j7", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.03994223209451235, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j7", "reverse_second_best_gap": 0.13004347900002022, "reverse_second_distance": 0.1699857110945326, "reverse_unambiguous": true, "second_best_gap": 0.09564097510018336, "second_distance": 0.13558320719469572, "unambiguous": true }, { "best_distance": 0.0026952203527417155, "edge_kind": "map", "eigenfunction_mismatch": 1.0638407313412479e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j5", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0026952203527417155, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j7", "reverse_second_best_gap": 0.13647881749967433, "reverse_second_distance": 0.13917403785241605, "reverse_unambiguous": true, "second_best_gap": 0.15063191337974782, "second_distance": 0.15332713373248955, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.03994223209451235, "max_resolution_difference": 0.003884952388736791, "omega_imag": -0.47203594193610876, "omega_real": 0.34773112267622625, "outgoing_phase_residual": 9.426113856003357e-15, "pencil_residual": 2.7256091755225342e-15, "reference_difference": 0.38946699808409785, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.2049402866319845e-05, "transformed_residual": 9.10132887697574e-13, "unfactored_residual": 1.2380382151874003e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0151", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j8", "case": "kerr-radial", "coefficient_tail": 6.544591421428974e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 3.806646926435642e-11, "infinity_row_residual": 1.0966223495645611e-11, "ingoing_phase_residual": 5.517251852071067e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.011611890295989968, "matching_checks": [ { "best_distance": 0.08802132810996917, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0038506376429340294, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j8", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": false, "reverse_best_distance": 0.05765359014936524, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j11", "reverse_second_best_gap": 0.03036773796060393, "reverse_second_distance": 0.08802132810996917, "reverse_unambiguous": true, "second_best_gap": 0.03171851371081989, "second_distance": 0.11973984182078906, "unambiguous": true }, { "best_distance": 0.10366026874622523, "edge_kind": "map", "eigenfunction_mismatch": 0.011611890295989968, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j10", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.10366026874622523, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j8", "reverse_second_best_gap": 0.03192293844847048, "reverse_second_distance": 0.13558320719469572, "reverse_unambiguous": true, "second_best_gap": 0.06709708915051539, "second_distance": 0.17075735789674062, "unambiguous": true }, { "best_distance": 0.05724614694113577, "edge_kind": "map", "eigenfunction_mismatch": 0.0016413981384478804, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j6", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05724614694113577, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j8", "reverse_second_best_gap": 0.039906827494651305, "reverse_second_distance": 0.09715297443578708, "reverse_unambiguous": true, "second_best_gap": 0.07689924739454324, "second_distance": 0.134145394335679, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10366026874622523, "max_resolution_difference": 0.08802132810996917, "omega_imag": -0.6288760730030675, "omega_real": 0.3644564041598708, "outgoing_phase_residual": 7.644633296142221e-15, "pencil_residual": 2.0798259648188184e-15, "reference_difference": 0.5433647847157023, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0038506376429340294, "transformed_residual": 3.894910296499688e-13, "unfactored_residual": 4.861863351808536e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0152", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j9", "case": "kerr-radial", "coefficient_tail": 1.9688744354044114e-14, "failure_reasons": [ "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 5.6279817627925575e-11, "infinity_row_residual": 6.780495635890955e-11, "ingoing_phase_residual": 1.7544858655189094e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 8.671962004047629e-08, "matching_checks": [ { "best_distance": 1.1307695410353609e-05, "edge_kind": "resolution", "eigenfunction_mismatch": 4.690077215485644e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j7", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1307695410353609e-05, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j9", "reverse_second_best_gap": 0.18669530265277012, "reverse_second_distance": 0.18670661034818048, "reverse_unambiguous": true, "second_best_gap": 0.1866976386115247, "second_distance": 0.18670894630693505, "unambiguous": true }, { "best_distance": 0.00015374223442112268, "edge_kind": "map", "eigenfunction_mismatch": 8.671962004047629e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j8", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00015374223442112268, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j9", "reverse_second_best_gap": 0.1864078129001399, "reverse_second_distance": 0.18656155513456105, "reverse_unambiguous": true, "second_best_gap": 0.16983196886011145, "second_distance": 0.1699857110945326, "unambiguous": true }, { "best_distance": 7.768738498640413e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.2137425226276264e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j7", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 7.768738498640413e-06, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j9", "reverse_second_best_gap": 0.18670034842717606, "reverse_second_distance": 0.1867081171656747, "reverse_unambiguous": true, "second_best_gap": 0.18670117435245054, "second_distance": 0.18670894309094918, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00015374223442112268, "max_resolution_difference": 1.1307695410353609e-05, "omega_imag": -0.27257420635233004, "omega_real": 0.38522353416635835, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 4.664186497172445e-15, "reference_difference": 0.18670894327593596, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 4.690077215485644e-10, "transformed_residual": 1.9994306775566603e-12, "unfactored_residual": 4.487295970615771e-14 }, { "N": 44, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j10", "case": "kerr-radial", "coefficient_tail": 3.868500543352123e-14, "failure_reasons": [], "horizon_row_residual": 1.6357288599287346e-10, "infinity_row_residual": 1.0846638994179445e-10, "ingoing_phase_residual": 1.1289794574158185e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 9.992007221626409e-15, "matching_checks": [ { "best_distance": 1.1913961457024502e-08, "edge_kind": "resolution", "eigenfunction_mismatch": 4.440892098500626e-16, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.0:j9", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 1.1913961457024502e-08, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j10", "reverse_second_best_gap": 0.1867089343929736, "reverse_second_distance": 0.18670894630693505, "reverse_unambiguous": true, "second_best_gap": 0.18670659843421902, "second_distance": 0.18670661034818048, "unambiguous": true }, { "best_distance": 4.8180853170939755e-08, "edge_kind": "map", "eigenfunction_mismatch": 9.992007221626409e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N44:c0.7:j9", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.8180853170939755e-08, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j10", "reverse_second_best_gap": 0.1867089022091465, "reverse_second_distance": 0.18670895038999966, "reverse_unambiguous": true, "second_best_gap": 0.18656150695370788, "second_distance": 0.18656155513456105, "unambiguous": true }, { "best_distance": 6.885268698092191e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.4:j8", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 6.885268698092191e-09, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j10", "reverse_second_best_gap": 0.1867089362056805, "reverse_second_distance": 0.18670894309094918, "reverse_unambiguous": true, "second_best_gap": 0.18670811028040601, "second_distance": 0.1867081171656747, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.8180853170939755e-08, "max_resolution_difference": 1.1913961457024502e-08, "omega_imag": -0.08725714873427409, "omega_real": 0.4079791122836172, "outgoing_phase_residual": 1.3646664619584453e-14, "pencil_residual": 1.0707615669846765e-14, "reference_difference": 5.359109176254526e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 4.440892098500626e-16, "transformed_residual": 2.6799272604508364e-12, "unfactored_residual": 1.298035174978737e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0143", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j11", "case": "kerr-radial", "coefficient_tail": 7.595173659661036e-15, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.5416633560051645e-11, "infinity_row_residual": 6.260964797730641e-12, "ingoing_phase_residual": 5.425265461530753e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.004360983114596317, "matching_checks": [ { "best_distance": 0.05765359014936524, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0013902519949413605, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j8", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05765359014936524, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j11", "reverse_second_best_gap": 0.03036773796060393, "reverse_second_distance": 0.08802132810996917, "reverse_unambiguous": true, "second_best_gap": 0.09972817332554873, "second_distance": 0.15738176347491398, "unambiguous": true }, { "best_distance": 0.08107440996376454, "edge_kind": "map", "eigenfunction_mismatch": 0.004360983114596317, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j11", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.08107440996376454, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j11", "reverse_second_best_gap": 0.08968294793297608, "reverse_second_distance": 0.17075735789674062, "reverse_unambiguous": true, "second_best_gap": 0.08383845958538606, "second_distance": 0.1649128695491506, "unambiguous": true }, { "best_distance": 0.08770521130588366, "edge_kind": "map", "eigenfunction_mismatch": 0.0025607238113026787, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j9", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.08770521130588366, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j11", "reverse_second_best_gap": 0.021811076223629253, "reverse_second_distance": 0.10951628752951291, "reverse_unambiguous": true, "second_best_gap": 0.00944776312990342, "second_distance": 0.09715297443578708, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.08770521130588366, "max_resolution_difference": 0.05765359014936524, "omega_imag": -0.7504447712934956, "omega_real": 0.4393678813158096, "outgoing_phase_residual": 6.313890172061934e-15, "pencil_residual": 1.5801853355915232e-15, "reference_difference": 0.6639300287413706, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0013902519949413605, "transformed_residual": 1.941141845929289e-13, "unfactored_residual": 2.2876765768866026e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0144", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.0:j12", "case": "kerr-radial", "coefficient_tail": 1.2205923050490228e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.0213947797264553e-11, "infinity_row_residual": 3.0843923228788953e-12, "ingoing_phase_residual": 4.649932071794169e-07, "local_pass": true, "map": 1.0, "map_eigenfunction_mismatch": 0.003830987435116451, "matching_checks": [ { "best_distance": 0.05435201808032365, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0009755457508068277, "failure_reasons": [ "frequency_difference" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.0:j10", "peer_configuration": [ "kerr-radial", 40, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05435201808032365, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j12", "reverse_second_best_gap": 0.10302974539459032, "reverse_second_distance": 0.15738176347491398, "reverse_unambiguous": true, "second_best_gap": 0.1756971753646408, "second_distance": 0.23004919344496444, "unambiguous": true }, { "best_distance": 0.06277497798512129, "edge_kind": "map", "eigenfunction_mismatch": 0.002638173909931041, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j12", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.06277497798512129, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j12", "reverse_second_best_gap": 0.10213789156402932, "reverse_second_distance": 0.1649128695491506, "reverse_unambiguous": true, "second_best_gap": 0.10017080862655968, "second_distance": 0.16294578661168097, "unambiguous": true }, { "best_distance": 0.10951628752951291, "edge_kind": "map", "eigenfunction_mismatch": 0.003830987435116451, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.4:j9", "peer_configuration": [ "kerr-radial", 44, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.08770521130588366, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.0:j11", "reverse_second_best_gap": 0.021811076223629253, "reverse_second_distance": 0.10951628752951291, "reverse_unambiguous": true, "second_best_gap": 0.1593745605209535, "second_distance": 0.2688908480504664, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.10951628752951291, "max_resolution_difference": 0.05435201808032365, "omega_imag": -0.8868130509331379, "omega_real": 0.5455049410570904, "outgoing_phase_residual": 5.2404408462462845e-15, "pencil_residual": 1.0037345045137152e-15, "reference_difference": 0.811297110617466, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0009755457508068277, "transformed_residual": 1.2432054901817966e-13, "unfactored_residual": 1.4013090555306723e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0153", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j0", "case": "kerr-radial", "coefficient_tail": 1.3641926285882675e-06, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "matching:resolution:nonreciprocal", "reference_not_confirmed" ], "horizon_row_residual": 1.5237670700298986e-08, "infinity_row_residual": 7.729886883372503e-13, "ingoing_phase_residual": 2.2072029608107062e-08, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0025118868787126214, "matching_checks": [ { "best_distance": 0.018713883839942783, "edge_kind": "resolution", "eigenfunction_mismatch": 0.013584718586642341, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": false, "reverse_best_distance": 0.004648060115067601, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j2", "reverse_second_best_gap": 0.014005584616563631, "reverse_second_distance": 0.018653644731631232, "reverse_unambiguous": true, "second_best_gap": 0.01699699041425929, "second_distance": 0.03571087425420207, "unambiguous": true }, { "best_distance": 0.005888361647442458, "edge_kind": "map", "eigenfunction_mismatch": 0.000945649169017071, "failure_reasons": [ "frequency_difference" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j2", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.005888361647442458, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j0", "reverse_second_best_gap": 0.011585266014311868, "reverse_second_distance": 0.017473627661754327, "reverse_unambiguous": true, "second_best_gap": 0.01708580145392429, "second_distance": 0.02297416310136675, "unambiguous": true }, { "best_distance": 0.011530764357963635, "edge_kind": "map", "eigenfunction_mismatch": 0.0025118868787126214, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j0", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.011530764357963635, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j0", "reverse_second_best_gap": 0.023361942270422806, "reverse_second_distance": 0.03489270662838644, "reverse_unambiguous": true, "second_best_gap": 0.0016963322250060416, "second_distance": 0.013227096582969677, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.011530764357963635, "max_resolution_difference": 0.018713883839942783, "omega_imag": -0.04522043046725567, "omega_real": 2.412102249416829e-05, "outgoing_phase_residual": 1.2396786460557896e-13, "pencil_residual": 7.691088984059974e-14, "reference_difference": 0.41011505377144647, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.013584718586642341, "transformed_residual": 6.096473558464417e-05, "unfactored_residual": 5.4444206876334046e-06 }, { "N": 44, "accepted": false, "branch_id": "branch-0154", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j1", "case": "kerr-radial", "coefficient_tail": 0.002102373857866568, "failure_reasons": [ "local:coefficient_tail", "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 7.378642803821469e-08, "infinity_row_residual": 4.682870105987277e-13, "ingoing_phase_residual": 1.8022309663820234e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.004971968250956027, "matching_checks": [ { "best_distance": 0.0016566323492106867, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001598889686729943, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 0, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j0", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.0016566323492106867, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j1", "reverse_second_best_gap": 0.010692333677478296, "reverse_second_distance": 0.012348966026688982, "reverse_unambiguous": true, "second_best_gap": 0.016997012382420545, "second_distance": 0.018653644731631232, "unambiguous": true }, { "best_distance": 0.0029627028629710165, "edge_kind": "map", "eigenfunction_mismatch": 0.004474410669965345, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j1", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0029627028629710165, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j1", "reverse_second_best_gap": 0.008080189340613362, "reverse_second_distance": 0.011042892203584379, "reverse_unambiguous": true, "second_best_gap": 0.0009889025480463508, "second_distance": 0.003951605411017367, "unambiguous": true }, { "best_distance": 0.0022643876381041894, "edge_kind": "map", "eigenfunction_mismatch": 0.004971968250956027, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j1", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0022643876381041894, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j1", "reverse_second_best_gap": 0.01400558627835684, "reverse_second_distance": 0.01626997391646103, "reverse_unambiguous": true, "second_best_gap": 0.005401436273786283, "second_distance": 0.007665823911890472, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0029627028629710165, "max_resolution_difference": 0.0016566323492106867, "omega_imag": -0.007852943633617455, "omega_real": 4.680546962651746e-05, "outgoing_phase_residual": 7.139874405212749e-13, "pencil_residual": 9.228036888402079e-14, "reference_difference": 0.41558848779053553, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001598889686729943, "transformed_residual": 0.8068573979798366, "unfactored_residual": 0.027473009703312252 }, { "N": 44, "accepted": false, "branch_id": "branch-0155", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j2", "case": "kerr-radial", "coefficient_tail": 3.963137220865447e-05, "failure_reasons": [ "local:transformed_residual", "local:unfactored_residual", "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.077649284051192e-08, "infinity_row_residual": 5.428969877358404e-13, "ingoing_phase_residual": 1.869136706590305e-08, "local_pass": false, "map": 1.4, "map_eigenfunction_mismatch": 0.005359894619668237, "matching_checks": [ { "best_distance": 0.004648060115067601, "edge_kind": "resolution", "eigenfunction_mismatch": 0.001738785038825852, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 1, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j1", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.004648060115067601, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j2", "reverse_second_best_gap": 0.014005584616563631, "reverse_second_distance": 0.018653644731631232, "reverse_unambiguous": true, "second_best_gap": 0.007700905911621381, "second_distance": 0.012348966026688982, "unambiguous": true }, { "best_distance": 0.0003877794897941969, "edge_kind": "map", "eigenfunction_mismatch": 1.4382518774391784e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j3", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.0003877794897941969, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j2", "reverse_second_best_gap": 0.014005594007845347, "reverse_second_distance": 0.014393373497639543, "reverse_unambiguous": true, "second_best_gap": 0.010655112713790183, "second_distance": 0.011042892203584379, "unambiguous": true }, { "best_distance": 0.0063397743495032305, "edge_kind": "map", "eigenfunction_mismatch": 0.005359894619668237, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j3", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0063397743495032305, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j2", "reverse_second_best_gap": 0.001326049562387242, "reverse_second_distance": 0.007665823911890472, "reverse_unambiguous": true, "second_best_gap": 0.0037950883804020443, "second_distance": 0.010134862729905275, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.0063397743495032305, "max_resolution_difference": 0.004648060115067601, "omega_imag": -0.02185852554134769, "omega_real": 6.600173821173777e-05, "outgoing_phase_residual": 2.565016385556709e-13, "pencil_residual": 8.756036930706705e-14, "reference_difference": 0.4131223574635836, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.001738785038825852, "transformed_residual": 0.0035310944850605176, "unfactored_residual": 0.00027605719776317516 }, { "N": 44, "accepted": false, "branch_id": "branch-0156", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j3", "case": "kerr-radial", "coefficient_tail": 4.600660421676054e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.830423832263149e-10, "infinity_row_residual": 7.997652337825052e-12, "ingoing_phase_residual": 3.8344860736203685e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.005465975104219756, "matching_checks": [ { "best_distance": 0.10238017624271974, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0028957956355963876, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 2, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j2", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.10238017624271974, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j3", "reverse_second_best_gap": 0.13337538347703215, "reverse_second_distance": 0.2357555597197519, "reverse_unambiguous": true, "second_best_gap": 0.2021373335857708, "second_distance": 0.3045175098284905, "unambiguous": true }, { "best_distance": 0.15924506367052388, "edge_kind": "map", "eigenfunction_mismatch": 0.005465975104219756, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j5", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.15924506367052388, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j3", "reverse_second_best_gap": 0.12985013437567677, "reverse_second_distance": 0.28909519804620065, "reverse_unambiguous": true, "second_best_gap": 0.05391969752005585, "second_distance": 0.21316476119057973, "unambiguous": true }, { "best_distance": 0.05719524015136236, "edge_kind": "map", "eigenfunction_mismatch": 0.0008483078965256796, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j5", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05719524015136236, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j3", "reverse_second_best_gap": 0.17623314204085927, "reverse_second_distance": 0.23342838219222165, "reverse_unambiguous": true, "second_best_gap": 0.12635916907543915, "second_distance": 0.18355440922680152, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.15924506367052388, "max_resolution_difference": 0.10238017624271974, "omega_imag": -0.4646546579340418, "omega_real": 0.03949371431787467, "outgoing_phase_residual": 1.1799776275145489e-14, "pencil_residual": 7.858760644061627e-15, "reference_difference": 0.5274565089677217, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0028957956355963876, "transformed_residual": 9.986242156469111e-13, "unfactored_residual": 1.652769534686912e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0157", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j4", "case": "kerr-radial", "coefficient_tail": 2.2334299515861484e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 4.394667866444395e-10, "infinity_row_residual": 4.828173128325135e-12, "ingoing_phase_residual": 6.838271130345987e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.021530955825389775, "matching_checks": [ { "best_distance": 0.13619380975107417, "edge_kind": "resolution", "eigenfunction_mismatch": 0.005747479121254062, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 3, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j3", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.13619380975107417, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j4", "reverse_second_best_gap": 0.019081606674597074, "reverse_second_distance": 0.15527541642567125, "reverse_unambiguous": true, "second_best_gap": 0.002176100956489374, "second_distance": 0.13836991070756355, "unambiguous": true }, { "best_distance": 0.19190819539170614, "edge_kind": "map", "eigenfunction_mismatch": 0.021530955825389775, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j6", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.13799432594635824, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j5", "reverse_second_best_gap": 0.04895907588510376, "reverse_second_distance": 0.186953401831462, "reverse_unambiguous": true, "second_best_gap": 0.0013087771127075487, "second_distance": 0.1932169725044137, "unambiguous": true }, { "best_distance": 0.062393132949098914, "edge_kind": "map", "eigenfunction_mismatch": 0.0017270115080011417, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j6", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.062393132949098914, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j4", "reverse_second_best_gap": 0.07678090490331714, "reverse_second_distance": 0.13917403785241605, "reverse_unambiguous": true, "second_best_gap": 0.0717522613865801, "second_distance": 0.134145394335679, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.19190819539170614, "max_resolution_difference": 0.13619380975107417, "omega_imag": -0.5804852988261169, "omega_real": 0.23934317625798107, "outgoing_phase_residual": 8.681241261467499e-15, "pencil_residual": 8.610572988737488e-15, "reference_difference": 0.5212600979386789, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.005747479121254062, "transformed_residual": 5.824515187543463e-13, "unfactored_residual": 7.898761589672213e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0158", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j5", "case": "kerr-radial", "coefficient_tail": 2.1168639876599216e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 3.180533238571497e-10, "infinity_row_residual": 9.889298506710624e-12, "ingoing_phase_residual": 3.502608345257588e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.0032261220823726067, "matching_checks": [ { "best_distance": 0.00122238903392266, "edge_kind": "resolution", "eigenfunction_mismatch": 2.1684768325425097e-06, "failure_reasons": [ "frequency_difference" ], "nearest_index": 5, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j5", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.00122238903392266, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j5", "reverse_second_best_gap": 0.15028013689675315, "reverse_second_distance": 0.1515025259306758, "reverse_unambiguous": true, "second_best_gap": 0.20435071112447095, "second_distance": 0.2055731001583936, "unambiguous": true }, { "best_distance": 0.042525041810062496, "edge_kind": "map", "eigenfunction_mismatch": 0.0032261220823726067, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j7", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.042525041810062496, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j5", "reverse_second_best_gap": 0.1274610441619691, "reverse_second_distance": 0.1699860859720316, "reverse_unambiguous": true, "second_best_gap": 0.09221110442888808, "second_distance": 0.13473614623895058, "unambiguous": true }, { "best_distance": 0.0026952203527417155, "edge_kind": "map", "eigenfunction_mismatch": 1.0638407313412479e-05, "failure_reasons": [ "frequency_difference" ], "nearest_index": 7, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j7", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.0026952203527417155, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j5", "reverse_second_best_gap": 0.15063191337974782, "reverse_second_distance": 0.15332713373248955, "reverse_unambiguous": true, "second_best_gap": 0.13647881749967433, "second_distance": 0.13917403785241605, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.042525041810062496, "max_resolution_difference": 0.00122238903392266, "omega_imag": -0.4744877286655457, "omega_real": 0.3466117681375791, "outgoing_phase_residual": 9.43689570931383e-15, "pencil_residual": 1.421496992338634e-14, "reference_difference": 0.39206310157946705, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.1684768325425097e-06, "transformed_residual": 1.5076034247645677e-12, "unfactored_residual": 2.051095873628979e-14 }, { "N": 44, "accepted": false, "branch_id": "branch-0159", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j6", "case": "kerr-radial", "coefficient_tail": 1.473969551702794e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:map:nonreciprocal", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 2.7082187929483427e-10, "infinity_row_residual": 1.663025386855635e-12, "ingoing_phase_residual": 6.174064852194781e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.018477731315804657, "matching_checks": [ { "best_distance": 0.05897122124203525, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0012613568480688286, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 4, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j4", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.05897122124203525, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j6", "reverse_second_best_gap": 0.0793986894655283, "reverse_second_distance": 0.13836991070756355, "reverse_unambiguous": true, "second_best_gap": 0.096304195183636, "second_distance": 0.15527541642567125, "unambiguous": true }, { "best_distance": 0.14477418395803138, "edge_kind": "map", "eigenfunction_mismatch": 0.018477731315804657, "failure_reasons": [ "nonreciprocal", "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 10, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j10", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": false, "reverse_best_distance": 0.13473614623895058, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j5", "reverse_second_best_gap": 0.010038037719080795, "reverse_second_distance": 0.14477418395803138, "reverse_unambiguous": true, "second_best_gap": 0.003519916339190493, "second_distance": 0.14829410029722187, "unambiguous": true }, { "best_distance": 0.05724614694113577, "edge_kind": "map", "eigenfunction_mismatch": 0.0016413981384476584, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j8", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.05724614694113577, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j6", "reverse_second_best_gap": 0.07689924739454324, "reverse_second_distance": 0.134145394335679, "reverse_unambiguous": true, "second_best_gap": 0.039906827494651305, "second_distance": 0.09715297443578708, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.14477418395803138, "max_resolution_difference": 0.05897122124203525, "omega_imag": -0.686082332348398, "omega_real": 0.36659304435440326, "outgoing_phase_residual": 7.036791118270713e-15, "pencil_residual": 8.22373901177337e-15, "reference_difference": 0.6002536227649772, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0012613568480688286, "transformed_residual": 3.304104031849473e-13, "unfactored_residual": 4.0367767820538284e-15 }, { "N": 44, "accepted": false, "branch_id": "branch-0019", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j7", "case": "kerr-radial", "coefficient_tail": 2.6843204280488607e-14, "failure_reasons": [ "matching:map:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 6.54588185171044e-10, "infinity_row_residual": 4.344569213029439e-11, "ingoing_phase_residual": 1.7544980804317477e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 8.357430691940948e-08, "matching_checks": [ { "best_distance": 2.5755349751937004e-06, "edge_kind": "resolution", "eigenfunction_mismatch": 2.4331314740777543e-11, "failure_reasons": [], "nearest_index": 7, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.4:j7", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.5755349751937004e-06, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j7", "reverse_second_best_gap": 0.1867058342370682, "reverse_second_distance": 0.1867084097720434, "reverse_unambiguous": true, "second_best_gap": 0.18670554537603853, "second_distance": 0.18670812091101371, "unambiguous": true }, { "best_distance": 0.00015092633414914958, "edge_kind": "map", "eigenfunction_mismatch": 8.357430691940948e-08, "failure_reasons": [ "frequency_difference" ], "nearest_index": 8, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j8", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.00015092633414914958, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j7", "reverse_second_best_gap": 0.18641063215054976, "reverse_second_distance": 0.1865615584846989, "reverse_unambiguous": true, "second_best_gap": 0.16983515963788245, "second_distance": 0.1699860859720316, "unambiguous": true }, { "best_distance": 7.768738498640413e-06, "edge_kind": "map", "eigenfunction_mismatch": 2.2137425226276264e-10, "failure_reasons": [ "frequency_difference" ], "nearest_index": 9, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j9", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 7.768738498640413e-06, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j7", "reverse_second_best_gap": 0.18670117435245054, "reverse_second_distance": 0.18670894309094918, "reverse_unambiguous": true, "second_best_gap": 0.18670034842717606, "second_distance": 0.1867081171656747, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.00015092633414914958, "max_resolution_difference": 2.5755349751937004e-06, "omega_imag": -0.2725743312574645, "omega_real": 0.3852313019006849, "outgoing_phase_residual": 1.1996703417363011e-14, "pencil_residual": 2.985078877521693e-14, "reference_difference": 0.18670812069955575, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 2.4331314740777543e-11, "transformed_residual": 6.516034696927145e-12, "unfactored_residual": 1.462553102889269e-13 }, { "N": 44, "accepted": true, "branch_id": "branch-0005", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j8", "case": "kerr-radial", "coefficient_tail": 3.2326031385150717e-14, "failure_reasons": [], "horizon_row_residual": 1.4905184309088496e-09, "infinity_row_residual": 6.117734076882199e-11, "ingoing_phase_residual": 1.1289794341100663e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 7.438494264988549e-15, "matching_checks": [ { "best_distance": 2.9711830960391613e-09, "edge_kind": "resolution", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 8, "passed": true, "peer_candidate_id": "kerr-radial:N40:c1.4:j8", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 2.9711830960391613e-09, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j8", "reverse_second_best_gap": 0.1867081179398306, "reverse_second_distance": 0.18670812091101371, "reverse_unambiguous": true, "second_best_gap": 0.1867084068008603, "second_distance": 0.1867084097720434, "unambiguous": true }, { "best_distance": 4.161856146136043e-08, "edge_kind": "map", "eigenfunction_mismatch": 7.438494264988549e-15, "failure_reasons": [], "nearest_index": 9, "passed": true, "peer_candidate_id": "kerr-radial:N44:c0.7:j9", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 4.161856146136043e-08, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j8", "reverse_second_best_gap": 0.1867080861968355, "reverse_second_distance": 0.18670812781539695, "reverse_unambiguous": true, "second_best_gap": 0.18656151686613745, "second_distance": 0.1865615584846989, "unambiguous": true }, { "best_distance": 6.885268698092191e-09, "edge_kind": "map", "eigenfunction_mismatch": 1.1102230246251565e-16, "failure_reasons": [], "nearest_index": 10, "passed": true, "peer_candidate_id": "kerr-radial:N44:c1.0:j10", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 6.885268698092191e-09, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j8", "reverse_second_best_gap": 0.18670811028040601, "reverse_second_distance": 0.1867081171656747, "reverse_unambiguous": true, "second_best_gap": 0.1867089362056805, "second_distance": 0.18670894309094918, "unambiguous": true } ], "matching_pass": true, "max_map_difference": 4.161856146136043e-08, "max_resolution_difference": 2.9711830960391613e-09, "omega_imag": -0.08725714467729002, "omega_real": 0.40797910672054205, "outgoing_phase_residual": 1.364967737523651e-14, "pencil_residual": 5.2719289745944326e-14, "reference_difference": 1.9956407375764703e-09, "reference_label": "kerr-radial:fundamental-reference", "reference_pass": true, "resolution_eigenfunction_mismatch": 1.1102230246251565e-16, "transformed_residual": 1.2987628374064474e-11, "unfactored_residual": 6.292139005286771e-13 }, { "N": 44, "accepted": false, "branch_id": "branch-0160", "branch_unique": true, "candidate_id": "kerr-radial:N44:c1.4:j9", "case": "kerr-radial", "coefficient_tail": 1.3808342568857818e-14, "failure_reasons": [ "matching:map:eigenfunction_mismatch", "matching:map:frequency_difference", "matching:resolution:eigenfunction_mismatch", "matching:resolution:frequency_difference", "reference_not_confirmed" ], "horizon_row_residual": 1.749148978250573e-10, "infinity_row_residual": 1.229084180366884e-12, "ingoing_phase_residual": 5.511648380808899e-07, "local_pass": true, "map": 1.4, "map_eigenfunction_mismatch": 0.008212964890599306, "matching_checks": [ { "best_distance": 0.08027023085228707, "edge_kind": "resolution", "eigenfunction_mismatch": 0.0015022685754527698, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 6, "passed": false, "peer_candidate_id": "kerr-radial:N40:c1.4:j6", "peer_configuration": [ "kerr-radial", 40, 1.4 ], "reciprocal": true, "reverse_best_distance": 0.08027023085228707, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j9", "reverse_second_best_gap": 0.1197555222276129, "reverse_second_distance": 0.20002575307989998, "reverse_unambiguous": true, "second_best_gap": 0.11503181902452239, "second_distance": 0.19530204987680946, "unambiguous": true }, { "best_distance": 0.13339395277782395, "edge_kind": "map", "eigenfunction_mismatch": 0.008212964890599306, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 12, "passed": false, "peer_candidate_id": "kerr-radial:N44:c0.7:j12", "peer_configuration": [ "kerr-radial", 44, 0.7 ], "reciprocal": true, "reverse_best_distance": 0.13339395277782395, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j9", "reverse_second_best_gap": 0.1276181244418892, "reverse_second_distance": 0.26101207721971315, "reverse_unambiguous": true, "second_best_gap": 0.005607905307689426, "second_distance": 0.13900185808551338, "unambiguous": true }, { "best_distance": 0.08770521130588366, "edge_kind": "map", "eigenfunction_mismatch": 0.0025607238113026787, "failure_reasons": [ "frequency_difference", "eigenfunction_mismatch" ], "nearest_index": 11, "passed": false, "peer_candidate_id": "kerr-radial:N44:c1.0:j11", "peer_configuration": [ "kerr-radial", 44, 1.0 ], "reciprocal": true, "reverse_best_distance": 0.08770521130588366, "reverse_nearest_candidate_id": "kerr-radial:N44:c1.4:j9", "reverse_second_best_gap": 0.00944776312990342, "reverse_second_distance": 0.09715297443578708, "reverse_unambiguous": true, "second_best_gap": 0.021811076223629253, "second_distance": 0.10951628752951291, "unambiguous": true } ], "matching_pass": false, "max_map_difference": 0.13339395277782395, "max_resolution_difference": 0.08027023085228707, "omega_imag": -0.8377640575830009, "omega_real": 0.44758653887657496, "outgoing_phase_residual": 5.646059903994778e-15, "pencil_residual": 5.431540204115767e-15, "reference_difference": 0.7515513121240138, "reference_label": null, "reference_pass": false, "resolution_eigenfunction_mismatch": 0.0015022685754527698, "transformed_residual": 1.589527727326461e-13, "unfactored_residual": 1.8317981856257985e-15 } ], "configurations": [ { "N": 12, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 12, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 12, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 20, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 20, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 20, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 24, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 24, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 24, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 28, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 28, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 28, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 32, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 32, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 32, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 36, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 36, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 36, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 40, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 40, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 40, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 44, "candidate_count": 5, "case": "poschl-teller", "map": 0.7 }, { "N": 44, "candidate_count": 5, "case": "poschl-teller", "map": 1.0 }, { "N": 44, "candidate_count": 5, "case": "poschl-teller", "map": 1.4 }, { "N": 12, "candidate_count": 7, "case": "schwarzschild", "map": 0.7 }, { "N": 12, "candidate_count": 7, "case": "schwarzschild", "map": 1.0 }, { "N": 12, "candidate_count": 6, "case": "schwarzschild", "map": 1.4 }, { "N": 20, "candidate_count": 8, "case": "schwarzschild", "map": 0.7 }, { "N": 20, "candidate_count": 8, "case": "schwarzschild", "map": 1.0 }, { "N": 20, "candidate_count": 7, "case": "schwarzschild", "map": 1.4 }, { "N": 24, "candidate_count": 9, "case": "schwarzschild", "map": 0.7 }, { "N": 24, "candidate_count": 9, "case": "schwarzschild", "map": 1.0 }, { "N": 24, "candidate_count": 7, "case": "schwarzschild", "map": 1.4 }, { "N": 28, "candidate_count": 9, "case": "schwarzschild", "map": 0.7 }, { "N": 28, "candidate_count": 9, "case": "schwarzschild", "map": 1.0 }, { "N": 28, "candidate_count": 8, "case": "schwarzschild", "map": 1.4 }, { "N": 32, "candidate_count": 11, "case": "schwarzschild", "map": 0.7 }, { "N": 32, "candidate_count": 8, "case": "schwarzschild", "map": 1.0 }, { "N": 32, "candidate_count": 8, "case": "schwarzschild", "map": 1.4 }, { "N": 36, "candidate_count": 10, "case": "schwarzschild", "map": 0.7 }, { "N": 36, "candidate_count": 9, "case": "schwarzschild", "map": 1.0 }, { "N": 36, "candidate_count": 8, "case": "schwarzschild", "map": 1.4 }, { "N": 40, "candidate_count": 12, "case": "schwarzschild", "map": 0.7 }, { "N": 40, "candidate_count": 13, "case": "schwarzschild", "map": 1.0 }, { "N": 40, "candidate_count": 10, "case": "schwarzschild", "map": 1.4 }, { "N": 44, "candidate_count": 13, "case": "schwarzschild", "map": 0.7 }, { "N": 44, "candidate_count": 12, "case": "schwarzschild", "map": 1.0 }, { "N": 44, "candidate_count": 10, "case": "schwarzschild", "map": 1.4 }, { "N": 12, "candidate_count": 6, "case": "kerr-radial", "map": 0.7 }, { "N": 12, "candidate_count": 5, "case": "kerr-radial", "map": 1.0 }, { "N": 12, "candidate_count": 5, "case": "kerr-radial", "map": 1.4 }, { "N": 20, "candidate_count": 6, "case": "kerr-radial", "map": 0.7 }, { "N": 20, "candidate_count": 6, "case": "kerr-radial", "map": 1.0 }, { "N": 20, "candidate_count": 5, "case": "kerr-radial", "map": 1.4 }, { "N": 24, "candidate_count": 7, "case": "kerr-radial", "map": 0.7 }, { "N": 24, "candidate_count": 6, "case": "kerr-radial", "map": 1.0 }, { "N": 24, "candidate_count": 6, "case": "kerr-radial", "map": 1.4 }, { "N": 28, "candidate_count": 9, "case": "kerr-radial", "map": 0.7 }, { "N": 28, "candidate_count": 7, "case": "kerr-radial", "map": 1.0 }, { "N": 28, "candidate_count": 6, "case": "kerr-radial", "map": 1.4 }, { "N": 32, "candidate_count": 10, "case": "kerr-radial", "map": 0.7 }, { "N": 32, "candidate_count": 8, "case": "kerr-radial", "map": 1.0 }, { "N": 32, "candidate_count": 7, "case": "kerr-radial", "map": 1.4 }, { "N": 36, "candidate_count": 10, "case": "kerr-radial", "map": 0.7 }, { "N": 36, "candidate_count": 11, "case": "kerr-radial", "map": 1.0 }, { "N": 36, "candidate_count": 8, "case": "kerr-radial", "map": 1.4 }, { "N": 40, "candidate_count": 13, "case": "kerr-radial", "map": 0.7 }, { "N": 40, "candidate_count": 11, "case": "kerr-radial", "map": 1.0 }, { "N": 40, "candidate_count": 9, "case": "kerr-radial", "map": 1.4 }, { "N": 44, "candidate_count": 14, "case": "kerr-radial", "map": 0.7 }, { "N": 44, "candidate_count": 13, "case": "kerr-radial", "map": 1.0 }, { "N": 44, "candidate_count": 10, "case": "kerr-radial", "map": 1.4 } ], "controls": { "negative_controls": { "exact_PT_node_pointwise_relative_residual_instability": { "minimum": 0.01, "rejected": true, "residual": 0.9191596149769888 }, "nearest_reference_does_not_resolve_ambiguity": { "diagnostic": { "best_distance": 9.999999999732445e-07, "nearest_index": 0, "reciprocal": true, "second_best_gap": 1.0000000000287557e-06, "second_distance": 2.000000000002e-06, "unambiguous": false }, "rejected": true }, "old_PT_first_derivative_sign_n1": { "minimum": 0.1, "rejected": true, "residual": 0.14400000000000004 }, "omit_inverse_second_chain_term_c0.7": { "minimum": 0.1, "rejected": true, "residual": 12.244897959183678 }, "omit_inverse_second_chain_term_c1.4": { "minimum": 0.1, "rejected": true, "residual": 4.081632653061224 }, "one_way_nearest_neighbor_is_not_mutual": { "diagnostic": { "best_distance": 8.999999999703689e-07, "nearest_index": 0, "reciprocal": false, "second_best_gap": null, "second_distance": null, "unambiguous": true }, "rejected": true }, "wrong_physical_x_interpolation_c0.7": { "minimum": 1e-08, "rejected": true, "residual": 0.0026468169126746544 }, "wrong_physical_x_interpolation_c1.4": { "minimum": 1e-08, "rejected": true, "residual": 0.0004175591232531417 }, "zero_eigenfunction_overlap_is_undefined": { "eigenfunction_mismatch": null, "normalization_defined": false, "rejected": true }, "zero_global_denominator_is_undefined": { "normalization_defined": false, "normalized_residual": null, "rejected": true } }, "residuals": { "PT_n1_exact_grid_pencil_c0.7": { "residual": 4.469126508568942e-14, "tolerance": 1e-08 }, "PT_n1_exact_grid_pencil_c1.0": { "residual": 1.6085592095824664e-17, "tolerance": 1e-08 }, "PT_n1_exact_grid_pencil_c1.4": { "residual": 2.2432627107418715e-14, "tolerance": 1e-08 }, "PT_n1_exact_grid_raw_c0.7": { "residual": 1.6867286475174192e-12, "tolerance": 0.0001 }, "PT_n1_exact_grid_raw_c1.0": { "residual": 3.153940866382205e-16, "tolerance": 0.0001 }, "PT_n1_exact_grid_raw_c1.4": { "residual": 8.347004962840292e-13, "tolerance": 0.0001 }, "PT_n1_nonconstant_full_raw_ODE": { "residual": 1.2005720704815596e-16, "tolerance": 1e-12 }, "PT_n1_nonconstant_transformed": { "residual": 1.1102230246251565e-16, "tolerance": 1e-12 }, "mapped_polynomial_c0.7_DCT_reconstruction": { "residual": 8.881784197001252e-16, "tolerance": 1e-12 }, "mapped_polynomial_c0.7_endpoint_d0": { "residual": 0.0, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_endpoint_d1": { "residual": 1.6342482922482304e-13, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_endpoint_d2": { "residual": 2.2879476091475226e-11, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_log_derivative": { "residual": 4.1744385725905886e-14, "tolerance": 1e-09 }, "mapped_polynomial_c0.7_nodal_first": { "residual": 2.113864638886298e-13, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_nodal_second": { "residual": 5.6132876125047915e-11, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_offgrid_d0": { "residual": 1.3322676295501878e-15, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_offgrid_d1": { "residual": 3.375077994860476e-14, "tolerance": 1e-08 }, "mapped_polynomial_c0.7_offgrid_d2": { "residual": 1.3358203432289883e-12, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_DCT_reconstruction": { "residual": 8.881784197001252e-16, "tolerance": 1e-12 }, "mapped_polynomial_c1.0_endpoint_d0": { "residual": 0.0, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_endpoint_d1": { "residual": 1.1368683772161603e-13, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_endpoint_d2": { "residual": 1.1141310096718371e-11, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_log_derivative": { "residual": 2.842170943040401e-14, "tolerance": 1e-09 }, "mapped_polynomial_c1.0_nodal_first": { "residual": 5.684341886080802e-14, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_nodal_second": { "residual": 3.865352482534945e-12, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_offgrid_d0": { "residual": 1.3322676295501878e-15, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_offgrid_d1": { "residual": 2.4868995751603507e-14, "tolerance": 1e-08 }, "mapped_polynomial_c1.0_offgrid_d2": { "residual": 1.0231815394945443e-12, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_DCT_reconstruction": { "residual": 8.881784197001252e-16, "tolerance": 1e-12 }, "mapped_polynomial_c1.4_endpoint_d0": { "residual": 0.0, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_endpoint_d1": { "residual": 8.171241461241152e-14, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_endpoint_d2": { "residual": 5.638156608256395e-12, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_log_derivative": { "residual": 1.9984014443252818e-14, "tolerance": 1e-09 }, "mapped_polynomial_c1.4_nodal_first": { "residual": 1.056932319443149e-13, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_nodal_second": { "residual": 1.2391865311656147e-11, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_offgrid_d0": { "residual": 1.3322676295501878e-15, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_offgrid_d1": { "residual": 1.865174681370263e-14, "tolerance": 1e-08 }, "mapped_polynomial_c1.4_offgrid_d2": { "residual": 1.1262102361797588e-12, "tolerance": 1e-08 }, "physical_grid_nonconstant_eigenfunction_samples": { "residual": 6.661338147750939e-16, "tolerance": 1e-12 }, "physical_grid_overlap_complex_rescaling": { "residual": 2.220446049250313e-16, "tolerance": 1e-14 } } }, "counts": { "accepted": 64, "branches": 335, "candidates": 536, "configurations": 72, "matching_edges": 381, "negative_controls": 10, "positive_controls": 40 }, "inputs": { "cases": [ "poschl-teller", "schwarzschild", "kerr-radial" ], "frequency_window": { "imag": [ -1, 0 ], "real": [ 0, 1 ], "strict": true }, "maps": [ 0.7, 1.0, 1.4 ], "orders": [ 12, 20, 24, 28, 32, 36, 40, 44 ] }, "interpolation": { "ODE_residual": "max_i abs(sum_a term_ai)/max_i sum_a abs(term_ai); zero or nonfinite global denominator fails", "eigenfunction_mismatch": "1-abs(sum(w conj(y1) y2))/sqrt(sum(w abs(y1)^2) sum(w abs(y2)^2))", "eigenfunction_quadrature": "64-point Gauss-Legendre in physical x on[0,1]", "inverse": "u=cx/[1-(1-c)x]", "lobatto_weights": "(-1)^j, endpoints halved", "map": "x=u/[c+(1-c)u]", "offgrid_points": { "count": 37, "end": 0.95, "start": 0.05 }, "phase_points": [ 1e-07, 0.9999999 ], "phase_zero_relative_floor": 1e-12, "second_derivative": "y_xx=y_uu*u_x^2+y_u*u_xx", "space": "degree N in computational u" }, "matching_contract": { "acceptance": "local_pass and matching_pass and branch_unique and reference_pass", "ambiguity": "Second-best minus best distance must exceed5e-6 in both directions; absent second candidate has null gap and is unambiguous.", "branch_uniqueness": "Each connected component of passed pair matches has at most one candidate per(case,N,map).", "map_peers": "Both other maps at the same N.", "ranking": "Mutual nearest complex frequency, independent of references.", "reference_label": "After matching only: highest N, map1 anchor within5e-6 and with reference gap>5e-6 labels the component.", "resolution_peers": "Every available adjacent N in the declared ordered list at fixed map; lowest/highest N have one neighbor, interior N two.", "undefined_diagnostic": "JSON null and empty CSV field; its gate fails, never a finite success sentinel." }, "matching_edges": [ [ "kerr-radial:N12:c0.7:j5", "kerr-radial:N12:c1.0:j4" ], [ "kerr-radial:N12:c0.7:j5", "kerr-radial:N20:c0.7:j5" ], [ "kerr-radial:N12:c1.0:j4", "kerr-radial:N20:c1.0:j5" ], [ "kerr-radial:N20:c0.7:j4", "kerr-radial:N20:c1.0:j4" ], [ "kerr-radial:N20:c0.7:j4", "kerr-radial:N24:c0.7:j5" ], [ "kerr-radial:N20:c0.7:j5", "kerr-radial:N20:c1.0:j5" ], [ "kerr-radial:N20:c0.7:j5", "kerr-radial:N20:c1.4:j4" ], [ "kerr-radial:N20:c0.7:j5", "kerr-radial:N24:c0.7:j6" ], [ "kerr-radial:N20:c1.0:j4", "kerr-radial:N24:c1.0:j4" ], [ "kerr-radial:N20:c1.0:j5", "kerr-radial:N20:c1.4:j4" ], [ "kerr-radial:N20:c1.0:j5", "kerr-radial:N24:c1.0:j5" ], [ "kerr-radial:N20:c1.4:j4", "kerr-radial:N24:c1.4:j5" ], [ "kerr-radial:N24:c0.7:j5", "kerr-radial:N24:c1.0:j4" ], [ "kerr-radial:N24:c0.7:j5", "kerr-radial:N24:c1.4:j4" ], [ "kerr-radial:N24:c0.7:j5", "kerr-radial:N28:c0.7:j7" ], [ "kerr-radial:N24:c0.7:j6", "kerr-radial:N24:c1.0:j5" ], [ "kerr-radial:N24:c0.7:j6", "kerr-radial:N24:c1.4:j5" ], [ "kerr-radial:N24:c0.7:j6", "kerr-radial:N28:c0.7:j8" ], [ "kerr-radial:N24:c1.0:j4", "kerr-radial:N24:c1.4:j4" ], [ "kerr-radial:N24:c1.0:j4", "kerr-radial:N28:c1.0:j5" ], [ "kerr-radial:N24:c1.0:j5", "kerr-radial:N24:c1.4:j5" ], [ "kerr-radial:N24:c1.0:j5", "kerr-radial:N28:c1.0:j6" ], [ "kerr-radial:N24:c1.4:j4", "kerr-radial:N28:c1.4:j4" ], [ "kerr-radial:N24:c1.4:j5", "kerr-radial:N28:c1.4:j5" ], [ "kerr-radial:N28:c0.7:j7", "kerr-radial:N28:c1.0:j5" ], [ "kerr-radial:N28:c0.7:j7", "kerr-radial:N28:c1.4:j4" ], [ "kerr-radial:N28:c0.7:j7", "kerr-radial:N32:c0.7:j7" ], [ "kerr-radial:N28:c0.7:j8", "kerr-radial:N28:c1.0:j6" ], [ "kerr-radial:N28:c0.7:j8", "kerr-radial:N28:c1.4:j5" ], [ "kerr-radial:N28:c0.7:j8", "kerr-radial:N32:c0.7:j8" ], [ "kerr-radial:N28:c1.0:j5", "kerr-radial:N28:c1.4:j4" ], [ "kerr-radial:N28:c1.0:j5", "kerr-radial:N32:c1.0:j6" ], [ "kerr-radial:N28:c1.0:j6", "kerr-radial:N28:c1.4:j5" ], [ "kerr-radial:N28:c1.0:j6", "kerr-radial:N32:c1.0:j7" ], [ "kerr-radial:N28:c1.4:j4", "kerr-radial:N32:c1.4:j5" ], [ "kerr-radial:N28:c1.4:j5", "kerr-radial:N32:c1.4:j6" ], [ "kerr-radial:N32:c0.7:j7", "kerr-radial:N32:c1.0:j6" ], [ "kerr-radial:N32:c0.7:j7", "kerr-radial:N32:c1.4:j5" ], [ "kerr-radial:N32:c0.7:j7", "kerr-radial:N36:c0.7:j7" ], [ "kerr-radial:N32:c0.7:j8", "kerr-radial:N32:c1.0:j7" ], [ "kerr-radial:N32:c0.7:j8", "kerr-radial:N32:c1.4:j6" ], [ "kerr-radial:N32:c0.7:j8", "kerr-radial:N36:c0.7:j8" ], [ "kerr-radial:N32:c1.0:j6", "kerr-radial:N32:c1.4:j5" ], [ "kerr-radial:N32:c1.0:j6", "kerr-radial:N36:c1.0:j8" ], [ "kerr-radial:N32:c1.0:j7", "kerr-radial:N32:c1.4:j6" ], [ "kerr-radial:N32:c1.0:j7", "kerr-radial:N36:c1.0:j9" ], [ "kerr-radial:N32:c1.4:j5", "kerr-radial:N36:c1.4:j6" ], [ "kerr-radial:N32:c1.4:j6", "kerr-radial:N36:c1.4:j7" ], [ "kerr-radial:N36:c0.7:j7", "kerr-radial:N36:c1.0:j8" ], [ "kerr-radial:N36:c0.7:j7", "kerr-radial:N36:c1.4:j6" ], [ "kerr-radial:N36:c0.7:j8", "kerr-radial:N36:c1.0:j9" ], [ "kerr-radial:N36:c0.7:j8", "kerr-radial:N36:c1.4:j7" ], [ "kerr-radial:N36:c0.7:j8", "kerr-radial:N40:c0.7:j9" ], [ "kerr-radial:N36:c1.0:j8", "kerr-radial:N36:c1.4:j6" ], [ "kerr-radial:N36:c1.0:j9", "kerr-radial:N36:c1.4:j7" ], [ "kerr-radial:N36:c1.0:j9", "kerr-radial:N40:c1.0:j9" ], [ "kerr-radial:N36:c1.4:j6", "kerr-radial:N40:c1.4:j7" ], [ "kerr-radial:N36:c1.4:j7", "kerr-radial:N40:c1.4:j8" ], [ "kerr-radial:N40:c0.7:j9", "kerr-radial:N40:c1.0:j9" ], [ "kerr-radial:N40:c0.7:j9", "kerr-radial:N40:c1.4:j8" ], [ "kerr-radial:N40:c0.7:j9", "kerr-radial:N44:c0.7:j9" ], [ "kerr-radial:N40:c1.0:j9", "kerr-radial:N40:c1.4:j8" ], [ "kerr-radial:N40:c1.0:j9", "kerr-radial:N44:c1.0:j10" ], [ "kerr-radial:N40:c1.4:j7", "kerr-radial:N44:c1.4:j7" ], [ "kerr-radial:N40:c1.4:j8", "kerr-radial:N44:c1.4:j8" ], [ "kerr-radial:N44:c0.7:j9", "kerr-radial:N44:c1.0:j10" ], [ "kerr-radial:N44:c0.7:j9", "kerr-radial:N44:c1.4:j8" ], [ "kerr-radial:N44:c1.0:j10", "kerr-radial:N44:c1.4:j8" ], [ "poschl-teller:N12:c0.7:j0", "poschl-teller:N12:c1.0:j3" ], [ "poschl-teller:N12:c0.7:j0", "poschl-teller:N12:c1.4:j0" ], [ "poschl-teller:N12:c0.7:j0", "poschl-teller:N20:c0.7:j3" ], [ "poschl-teller:N12:c0.7:j1", "poschl-teller:N12:c1.0:j0" ], [ "poschl-teller:N12:c0.7:j1", "poschl-teller:N12:c1.4:j1" ], [ "poschl-teller:N12:c0.7:j1", "poschl-teller:N20:c0.7:j0" ], [ "poschl-teller:N12:c0.7:j2", "poschl-teller:N12:c1.0:j2" ], [ "poschl-teller:N12:c0.7:j2", "poschl-teller:N12:c1.4:j2" ], [ "poschl-teller:N12:c0.7:j2", "poschl-teller:N20:c0.7:j2" ], [ "poschl-teller:N12:c0.7:j3", "poschl-teller:N12:c1.0:j1" ], [ "poschl-teller:N12:c0.7:j3", "poschl-teller:N12:c1.4:j3" ], [ "poschl-teller:N12:c0.7:j3", "poschl-teller:N20:c0.7:j1" ], [ "poschl-teller:N12:c1.0:j0", "poschl-teller:N12:c1.4:j1" ], [ "poschl-teller:N12:c1.0:j0", "poschl-teller:N20:c1.0:j1" ], [ "poschl-teller:N12:c1.0:j1", "poschl-teller:N12:c1.4:j3" ], [ "poschl-teller:N12:c1.0:j1", "poschl-teller:N20:c1.0:j2" ], [ "poschl-teller:N12:c1.0:j2", "poschl-teller:N12:c1.4:j2" ], [ "poschl-teller:N12:c1.0:j2", "poschl-teller:N20:c1.0:j3" ], [ "poschl-teller:N12:c1.0:j3", "poschl-teller:N12:c1.4:j0" ], [ "poschl-teller:N12:c1.0:j3", "poschl-teller:N20:c1.0:j0" ], [ "poschl-teller:N12:c1.0:j4", "poschl-teller:N20:c1.0:j4" ], [ "poschl-teller:N12:c1.4:j0", "poschl-teller:N20:c1.4:j0" ], [ "poschl-teller:N12:c1.4:j1", "poschl-teller:N20:c1.4:j1" ], [ "poschl-teller:N12:c1.4:j2", "poschl-teller:N20:c1.4:j2" ], [ "poschl-teller:N12:c1.4:j3", "poschl-teller:N20:c1.4:j3" ], [ "poschl-teller:N20:c0.7:j0", "poschl-teller:N20:c1.0:j1" ], [ "poschl-teller:N20:c0.7:j0", "poschl-teller:N20:c1.4:j1" ], [ "poschl-teller:N20:c0.7:j0", "poschl-teller:N24:c0.7:j1" ], [ "poschl-teller:N20:c0.7:j1", "poschl-teller:N20:c1.0:j2" ], [ "poschl-teller:N20:c0.7:j1", "poschl-teller:N20:c1.4:j3" ], [ "poschl-teller:N20:c0.7:j1", "poschl-teller:N24:c0.7:j3" ], [ "poschl-teller:N20:c0.7:j2", "poschl-teller:N20:c1.0:j3" ], [ "poschl-teller:N20:c0.7:j2", "poschl-teller:N20:c1.4:j2" ], [ "poschl-teller:N20:c0.7:j2", "poschl-teller:N24:c0.7:j2" ], [ "poschl-teller:N20:c0.7:j3", "poschl-teller:N20:c1.0:j0" ], [ "poschl-teller:N20:c0.7:j3", "poschl-teller:N20:c1.4:j0" ], [ "poschl-teller:N20:c0.7:j3", "poschl-teller:N24:c0.7:j0" ], [ "poschl-teller:N20:c0.7:j4", "poschl-teller:N20:c1.0:j4" ], [ "poschl-teller:N20:c0.7:j4", "poschl-teller:N20:c1.4:j4" ], [ "poschl-teller:N20:c0.7:j4", "poschl-teller:N24:c0.7:j4" ], [ "poschl-teller:N20:c1.0:j0", "poschl-teller:N20:c1.4:j0" ], [ "poschl-teller:N20:c1.0:j0", "poschl-teller:N24:c1.0:j3" ], [ "poschl-teller:N20:c1.0:j1", "poschl-teller:N20:c1.4:j1" ], [ "poschl-teller:N20:c1.0:j1", "poschl-teller:N24:c1.0:j0" ], [ "poschl-teller:N20:c1.0:j2", "poschl-teller:N20:c1.4:j3" ], [ "poschl-teller:N20:c1.0:j2", "poschl-teller:N24:c1.0:j1" ], [ "poschl-teller:N20:c1.0:j3", "poschl-teller:N20:c1.4:j2" ], [ "poschl-teller:N20:c1.0:j3", "poschl-teller:N24:c1.0:j2" ], [ "poschl-teller:N20:c1.0:j4", "poschl-teller:N20:c1.4:j4" ], [ "poschl-teller:N20:c1.0:j4", "poschl-teller:N24:c1.0:j4" ], [ "poschl-teller:N20:c1.4:j0", "poschl-teller:N24:c1.4:j1" ], [ "poschl-teller:N20:c1.4:j1", "poschl-teller:N24:c1.4:j4" ], [ "poschl-teller:N20:c1.4:j2", "poschl-teller:N24:c1.4:j2" ], [ "poschl-teller:N20:c1.4:j3", "poschl-teller:N24:c1.4:j3" ], [ "poschl-teller:N20:c1.4:j4", "poschl-teller:N24:c1.4:j0" ], [ "poschl-teller:N24:c0.7:j0", "poschl-teller:N24:c1.0:j3" ], [ "poschl-teller:N24:c0.7:j0", "poschl-teller:N24:c1.4:j1" ], [ "poschl-teller:N24:c0.7:j0", "poschl-teller:N28:c0.7:j3" ], [ "poschl-teller:N24:c0.7:j1", "poschl-teller:N24:c1.0:j0" ], [ "poschl-teller:N24:c0.7:j1", "poschl-teller:N24:c1.4:j4" ], [ "poschl-teller:N24:c0.7:j1", "poschl-teller:N28:c0.7:j2" ], [ "poschl-teller:N24:c0.7:j2", "poschl-teller:N24:c1.0:j2" ], [ "poschl-teller:N24:c0.7:j2", "poschl-teller:N24:c1.4:j2" ], [ "poschl-teller:N24:c0.7:j2", "poschl-teller:N28:c0.7:j1" ], [ "poschl-teller:N24:c0.7:j3", "poschl-teller:N24:c1.0:j1" ], [ "poschl-teller:N24:c0.7:j3", "poschl-teller:N24:c1.4:j3" ], [ "poschl-teller:N24:c0.7:j3", "poschl-teller:N28:c0.7:j0" ], [ "poschl-teller:N24:c0.7:j4", "poschl-teller:N24:c1.0:j4" ], [ "poschl-teller:N24:c0.7:j4", "poschl-teller:N24:c1.4:j0" ], [ "poschl-teller:N24:c0.7:j4", "poschl-teller:N28:c0.7:j4" ], [ "poschl-teller:N24:c1.0:j0", "poschl-teller:N24:c1.4:j4" ], [ "poschl-teller:N24:c1.0:j0", "poschl-teller:N28:c1.0:j2" ], [ "poschl-teller:N24:c1.0:j1", "poschl-teller:N24:c1.4:j3" ], [ "poschl-teller:N24:c1.0:j1", "poschl-teller:N28:c1.0:j4" ], [ "poschl-teller:N24:c1.0:j2", "poschl-teller:N24:c1.4:j2" ], [ "poschl-teller:N24:c1.0:j2", "poschl-teller:N28:c1.0:j3" ], [ "poschl-teller:N24:c1.0:j3", "poschl-teller:N24:c1.4:j1" ], [ "poschl-teller:N24:c1.0:j3", "poschl-teller:N28:c1.0:j0" ], [ "poschl-teller:N24:c1.0:j4", "poschl-teller:N24:c1.4:j0" ], [ "poschl-teller:N24:c1.0:j4", "poschl-teller:N28:c1.0:j1" ], [ "poschl-teller:N24:c1.4:j0", "poschl-teller:N28:c1.4:j4" ], [ "poschl-teller:N24:c1.4:j1", "poschl-teller:N28:c1.4:j0" ], [ "poschl-teller:N24:c1.4:j2", "poschl-teller:N28:c1.4:j2" ], [ "poschl-teller:N24:c1.4:j3", "poschl-teller:N28:c1.4:j3" ], [ "poschl-teller:N24:c1.4:j4", "poschl-teller:N28:c1.4:j1" ], [ "poschl-teller:N28:c0.7:j0", "poschl-teller:N28:c1.0:j4" ], [ "poschl-teller:N28:c0.7:j0", "poschl-teller:N28:c1.4:j3" ], [ "poschl-teller:N28:c0.7:j0", "poschl-teller:N32:c0.7:j3" ], [ "poschl-teller:N28:c0.7:j1", "poschl-teller:N28:c1.0:j3" ], [ "poschl-teller:N28:c0.7:j1", "poschl-teller:N28:c1.4:j2" ], [ "poschl-teller:N28:c0.7:j1", "poschl-teller:N32:c0.7:j2" ], [ "poschl-teller:N28:c0.7:j2", "poschl-teller:N28:c1.0:j2" ], [ "poschl-teller:N28:c0.7:j2", "poschl-teller:N28:c1.4:j1" ], [ "poschl-teller:N28:c0.7:j2", "poschl-teller:N32:c0.7:j1" ], [ "poschl-teller:N28:c0.7:j3", "poschl-teller:N28:c1.0:j0" ], [ "poschl-teller:N28:c0.7:j3", "poschl-teller:N28:c1.4:j0" ], [ "poschl-teller:N28:c0.7:j3", "poschl-teller:N32:c0.7:j0" ], [ "poschl-teller:N28:c0.7:j4", "poschl-teller:N28:c1.0:j1" ], [ "poschl-teller:N28:c0.7:j4", "poschl-teller:N28:c1.4:j4" ], [ "poschl-teller:N28:c0.7:j4", "poschl-teller:N32:c0.7:j4" ], [ "poschl-teller:N28:c1.0:j0", "poschl-teller:N28:c1.4:j0" ], [ "poschl-teller:N28:c1.0:j0", "poschl-teller:N32:c1.0:j3" ], [ "poschl-teller:N28:c1.0:j1", "poschl-teller:N28:c1.4:j4" ], [ "poschl-teller:N28:c1.0:j1", "poschl-teller:N32:c1.0:j4" ], [ "poschl-teller:N28:c1.0:j2", "poschl-teller:N28:c1.4:j1" ], [ "poschl-teller:N28:c1.0:j2", "poschl-teller:N32:c1.0:j0" ], [ "poschl-teller:N28:c1.0:j3", "poschl-teller:N28:c1.4:j2" ], [ "poschl-teller:N28:c1.0:j3", "poschl-teller:N32:c1.0:j2" ], [ "poschl-teller:N28:c1.0:j4", "poschl-teller:N28:c1.4:j3" ], [ "poschl-teller:N28:c1.0:j4", "poschl-teller:N32:c1.0:j1" ], [ "poschl-teller:N28:c1.4:j0", "poschl-teller:N32:c1.4:j3" ], [ "poschl-teller:N28:c1.4:j1", "poschl-teller:N32:c1.4:j4" ], [ "poschl-teller:N28:c1.4:j2", "poschl-teller:N32:c1.4:j1" ], [ "poschl-teller:N28:c1.4:j3", "poschl-teller:N32:c1.4:j2" ], [ "poschl-teller:N28:c1.4:j4", "poschl-teller:N32:c1.4:j0" ], [ "poschl-teller:N32:c0.7:j0", "poschl-teller:N32:c1.0:j3" ], [ "poschl-teller:N32:c0.7:j0", "poschl-teller:N32:c1.4:j3" ], [ "poschl-teller:N32:c0.7:j0", "poschl-teller:N36:c0.7:j3" ], [ "poschl-teller:N32:c0.7:j1", "poschl-teller:N32:c1.0:j0" ], [ "poschl-teller:N32:c0.7:j1", "poschl-teller:N32:c1.4:j4" ], [ "poschl-teller:N32:c0.7:j1", "poschl-teller:N36:c0.7:j0" ], [ "poschl-teller:N32:c0.7:j2", "poschl-teller:N32:c1.0:j2" ], [ "poschl-teller:N32:c0.7:j2", "poschl-teller:N32:c1.4:j1" ], [ "poschl-teller:N32:c0.7:j2", "poschl-teller:N36:c0.7:j2" ], [ "poschl-teller:N32:c0.7:j3", "poschl-teller:N32:c1.0:j1" ], [ "poschl-teller:N32:c0.7:j3", "poschl-teller:N32:c1.4:j2" ], [ "poschl-teller:N32:c0.7:j3", "poschl-teller:N36:c0.7:j1" ], [ "poschl-teller:N32:c0.7:j4", "poschl-teller:N32:c1.0:j4" ], [ "poschl-teller:N32:c0.7:j4", "poschl-teller:N32:c1.4:j0" ], [ "poschl-teller:N32:c0.7:j4", "poschl-teller:N36:c0.7:j4" ], [ "poschl-teller:N32:c1.0:j0", "poschl-teller:N32:c1.4:j4" ], [ "poschl-teller:N32:c1.0:j0", "poschl-teller:N36:c1.0:j1" ], [ "poschl-teller:N32:c1.0:j1", "poschl-teller:N32:c1.4:j2" ], [ "poschl-teller:N32:c1.0:j1", "poschl-teller:N36:c1.0:j3" ], [ "poschl-teller:N32:c1.0:j2", "poschl-teller:N32:c1.4:j1" ], [ "poschl-teller:N32:c1.0:j2", "poschl-teller:N36:c1.0:j2" ], [ "poschl-teller:N32:c1.0:j3", "poschl-teller:N32:c1.4:j3" ], [ "poschl-teller:N32:c1.0:j3", "poschl-teller:N36:c1.0:j0" ], [ "poschl-teller:N32:c1.0:j4", "poschl-teller:N32:c1.4:j0" ], [ "poschl-teller:N32:c1.0:j4", "poschl-teller:N36:c1.0:j4" ], [ "poschl-teller:N32:c1.4:j0", "poschl-teller:N36:c1.4:j0" ], [ "poschl-teller:N32:c1.4:j1", "poschl-teller:N36:c1.4:j3" ], [ "poschl-teller:N32:c1.4:j2", "poschl-teller:N36:c1.4:j4" ], [ "poschl-teller:N32:c1.4:j3", "poschl-teller:N36:c1.4:j1" ], [ "poschl-teller:N32:c1.4:j4", "poschl-teller:N36:c1.4:j2" ], [ "poschl-teller:N36:c0.7:j0", "poschl-teller:N36:c1.0:j1" ], [ "poschl-teller:N36:c0.7:j0", "poschl-teller:N36:c1.4:j2" ], [ "poschl-teller:N36:c0.7:j0", "poschl-teller:N40:c0.7:j0" ], [ "poschl-teller:N36:c0.7:j1", "poschl-teller:N36:c1.0:j3" ], [ "poschl-teller:N36:c0.7:j1", "poschl-teller:N36:c1.4:j4" ], [ "poschl-teller:N36:c0.7:j1", "poschl-teller:N40:c0.7:j1" ], [ "poschl-teller:N36:c0.7:j2", "poschl-teller:N36:c1.0:j2" ], [ "poschl-teller:N36:c0.7:j2", "poschl-teller:N36:c1.4:j3" ], [ "poschl-teller:N36:c0.7:j2", "poschl-teller:N40:c0.7:j2" ], [ "poschl-teller:N36:c0.7:j3", "poschl-teller:N36:c1.0:j0" ], [ "poschl-teller:N36:c0.7:j3", "poschl-teller:N36:c1.4:j1" ], [ "poschl-teller:N36:c0.7:j3", "poschl-teller:N40:c0.7:j3" ], [ "poschl-teller:N36:c0.7:j4", "poschl-teller:N36:c1.0:j4" ], [ "poschl-teller:N36:c0.7:j4", "poschl-teller:N36:c1.4:j0" ], [ "poschl-teller:N36:c0.7:j4", "poschl-teller:N40:c0.7:j4" ], [ "poschl-teller:N36:c1.0:j0", "poschl-teller:N36:c1.4:j1" ], [ "poschl-teller:N36:c1.0:j0", "poschl-teller:N40:c1.0:j1" ], [ "poschl-teller:N36:c1.0:j1", "poschl-teller:N36:c1.4:j2" ], [ "poschl-teller:N36:c1.0:j1", "poschl-teller:N40:c1.0:j4" ], [ "poschl-teller:N36:c1.0:j2", "poschl-teller:N36:c1.4:j3" ], [ "poschl-teller:N36:c1.0:j2", "poschl-teller:N40:c1.0:j2" ], [ "poschl-teller:N36:c1.0:j3", "poschl-teller:N36:c1.4:j4" ], [ "poschl-teller:N36:c1.0:j3", "poschl-teller:N40:c1.0:j3" ], [ "poschl-teller:N36:c1.0:j4", "poschl-teller:N36:c1.4:j0" ], [ "poschl-teller:N36:c1.0:j4", "poschl-teller:N40:c1.0:j0" ], [ "poschl-teller:N36:c1.4:j0", "poschl-teller:N40:c1.4:j4" ], [ "poschl-teller:N36:c1.4:j1", "poschl-teller:N40:c1.4:j3" ], [ "poschl-teller:N36:c1.4:j2", "poschl-teller:N40:c1.4:j0" ], [ "poschl-teller:N36:c1.4:j3", "poschl-teller:N40:c1.4:j2" ], [ "poschl-teller:N36:c1.4:j4", "poschl-teller:N40:c1.4:j1" ], [ "poschl-teller:N40:c0.7:j0", "poschl-teller:N40:c1.0:j4" ], [ "poschl-teller:N40:c0.7:j0", "poschl-teller:N40:c1.4:j0" ], [ "poschl-teller:N40:c0.7:j0", "poschl-teller:N44:c0.7:j4" ], [ "poschl-teller:N40:c0.7:j1", "poschl-teller:N40:c1.0:j3" ], [ "poschl-teller:N40:c0.7:j1", "poschl-teller:N40:c1.4:j1" ], [ "poschl-teller:N40:c0.7:j1", "poschl-teller:N44:c0.7:j3" ], [ "poschl-teller:N40:c0.7:j2", "poschl-teller:N40:c1.0:j2" ], [ "poschl-teller:N40:c0.7:j2", "poschl-teller:N40:c1.4:j2" ], [ "poschl-teller:N40:c0.7:j2", "poschl-teller:N44:c0.7:j2" ], [ "poschl-teller:N40:c0.7:j3", "poschl-teller:N40:c1.0:j1" ], [ "poschl-teller:N40:c0.7:j3", "poschl-teller:N40:c1.4:j3" ], [ "poschl-teller:N40:c0.7:j3", "poschl-teller:N44:c0.7:j1" ], [ "poschl-teller:N40:c0.7:j4", "poschl-teller:N40:c1.0:j0" ], [ "poschl-teller:N40:c0.7:j4", "poschl-teller:N40:c1.4:j4" ], [ "poschl-teller:N40:c0.7:j4", "poschl-teller:N44:c0.7:j0" ], [ "poschl-teller:N40:c1.0:j0", "poschl-teller:N40:c1.4:j4" ], [ "poschl-teller:N40:c1.0:j0", "poschl-teller:N44:c1.0:j0" ], [ "poschl-teller:N40:c1.0:j1", "poschl-teller:N40:c1.4:j3" ], [ "poschl-teller:N40:c1.0:j1", "poschl-teller:N44:c1.0:j4" ], [ "poschl-teller:N40:c1.0:j2", "poschl-teller:N40:c1.4:j2" ], [ "poschl-teller:N40:c1.0:j2", "poschl-teller:N44:c1.0:j1" ], [ "poschl-teller:N40:c1.0:j3", "poschl-teller:N40:c1.4:j1" ], [ "poschl-teller:N40:c1.0:j3", "poschl-teller:N44:c1.0:j2" ], [ "poschl-teller:N40:c1.0:j4", "poschl-teller:N40:c1.4:j0" ], [ "poschl-teller:N40:c1.0:j4", "poschl-teller:N44:c1.0:j3" ], [ "poschl-teller:N40:c1.4:j0", "poschl-teller:N44:c1.4:j1" ], [ "poschl-teller:N40:c1.4:j1", "poschl-teller:N44:c1.4:j3" ], [ "poschl-teller:N40:c1.4:j2", "poschl-teller:N44:c1.4:j2" ], [ "poschl-teller:N40:c1.4:j3", "poschl-teller:N44:c1.4:j4" ], [ "poschl-teller:N40:c1.4:j4", "poschl-teller:N44:c1.4:j0" ], [ "poschl-teller:N44:c0.7:j0", "poschl-teller:N44:c1.0:j0" ], [ "poschl-teller:N44:c0.7:j0", "poschl-teller:N44:c1.4:j0" ], [ "poschl-teller:N44:c0.7:j1", "poschl-teller:N44:c1.0:j4" ], [ "poschl-teller:N44:c0.7:j1", "poschl-teller:N44:c1.4:j4" ], [ "poschl-teller:N44:c0.7:j2", "poschl-teller:N44:c1.0:j1" ], [ "poschl-teller:N44:c0.7:j2", "poschl-teller:N44:c1.4:j2" ], [ "poschl-teller:N44:c0.7:j3", "poschl-teller:N44:c1.0:j2" ], [ "poschl-teller:N44:c0.7:j3", "poschl-teller:N44:c1.4:j3" ], [ "poschl-teller:N44:c0.7:j4", "poschl-teller:N44:c1.0:j3" ], [ "poschl-teller:N44:c0.7:j4", "poschl-teller:N44:c1.4:j1" ], [ "poschl-teller:N44:c1.0:j0", "poschl-teller:N44:c1.4:j0" ], [ "poschl-teller:N44:c1.0:j1", "poschl-teller:N44:c1.4:j2" ], [ "poschl-teller:N44:c1.0:j2", "poschl-teller:N44:c1.4:j3" ], [ "poschl-teller:N44:c1.0:j3", "poschl-teller:N44:c1.4:j1" ], [ "poschl-teller:N44:c1.0:j4", "poschl-teller:N44:c1.4:j4" ], [ "schwarzschild:N12:c0.7:j6", "schwarzschild:N12:c1.0:j6" ], [ "schwarzschild:N12:c0.7:j6", "schwarzschild:N20:c0.7:j7" ], [ "schwarzschild:N12:c1.0:j6", "schwarzschild:N20:c1.0:j7" ], [ "schwarzschild:N20:c0.7:j6", "schwarzschild:N20:c1.0:j6" ], [ "schwarzschild:N20:c0.7:j6", "schwarzschild:N24:c0.7:j7" ], [ "schwarzschild:N20:c0.7:j7", "schwarzschild:N20:c1.0:j7" ], [ "schwarzschild:N20:c0.7:j7", "schwarzschild:N20:c1.4:j6" ], [ "schwarzschild:N20:c0.7:j7", "schwarzschild:N24:c0.7:j8" ], [ "schwarzschild:N20:c1.0:j6", "schwarzschild:N24:c1.0:j7" ], [ "schwarzschild:N20:c1.0:j7", "schwarzschild:N20:c1.4:j6" ], [ "schwarzschild:N20:c1.0:j7", "schwarzschild:N24:c1.0:j8" ], [ "schwarzschild:N20:c1.4:j6", "schwarzschild:N24:c1.4:j6" ], [ "schwarzschild:N24:c0.7:j7", "schwarzschild:N24:c1.0:j7" ], [ "schwarzschild:N24:c0.7:j7", "schwarzschild:N24:c1.4:j5" ], [ "schwarzschild:N24:c0.7:j7", "schwarzschild:N28:c0.7:j7" ], [ "schwarzschild:N24:c0.7:j8", "schwarzschild:N24:c1.0:j8" ], [ "schwarzschild:N24:c0.7:j8", "schwarzschild:N24:c1.4:j6" ], [ "schwarzschild:N24:c0.7:j8", "schwarzschild:N28:c0.7:j8" ], [ "schwarzschild:N24:c1.0:j7", "schwarzschild:N24:c1.4:j5" ], [ "schwarzschild:N24:c1.0:j7", "schwarzschild:N28:c1.0:j7" ], [ "schwarzschild:N24:c1.0:j8", "schwarzschild:N24:c1.4:j6" ], [ "schwarzschild:N24:c1.0:j8", "schwarzschild:N28:c1.0:j8" ], [ "schwarzschild:N24:c1.4:j5", "schwarzschild:N28:c1.4:j6" ], [ "schwarzschild:N24:c1.4:j6", "schwarzschild:N28:c1.4:j7" ], [ "schwarzschild:N28:c0.7:j6", "schwarzschild:N32:c0.7:j8" ], [ "schwarzschild:N28:c0.7:j7", "schwarzschild:N28:c1.0:j7" ], [ "schwarzschild:N28:c0.7:j7", "schwarzschild:N28:c1.4:j6" ], [ "schwarzschild:N28:c0.7:j7", "schwarzschild:N32:c0.7:j9" ], [ "schwarzschild:N28:c0.7:j8", "schwarzschild:N28:c1.0:j8" ], [ "schwarzschild:N28:c0.7:j8", "schwarzschild:N28:c1.4:j7" ], [ "schwarzschild:N28:c0.7:j8", "schwarzschild:N32:c0.7:j10" ], [ "schwarzschild:N28:c1.0:j7", "schwarzschild:N28:c1.4:j6" ], [ "schwarzschild:N28:c1.0:j7", "schwarzschild:N32:c1.0:j6" ], [ "schwarzschild:N28:c1.0:j8", "schwarzschild:N28:c1.4:j7" ], [ "schwarzschild:N28:c1.0:j8", "schwarzschild:N32:c1.0:j7" ], [ "schwarzschild:N28:c1.4:j6", "schwarzschild:N32:c1.4:j6" ], [ "schwarzschild:N28:c1.4:j7", "schwarzschild:N32:c1.4:j7" ], [ "schwarzschild:N32:c0.7:j10", "schwarzschild:N32:c1.0:j7" ], [ "schwarzschild:N32:c0.7:j10", "schwarzschild:N32:c1.4:j7" ], [ "schwarzschild:N32:c0.7:j10", "schwarzschild:N36:c0.7:j9" ], [ "schwarzschild:N32:c0.7:j8", "schwarzschild:N36:c0.7:j7" ], [ "schwarzschild:N32:c0.7:j9", "schwarzschild:N32:c1.0:j6" ], [ "schwarzschild:N32:c0.7:j9", "schwarzschild:N32:c1.4:j6" ], [ "schwarzschild:N32:c0.7:j9", "schwarzschild:N36:c0.7:j8" ], [ "schwarzschild:N32:c1.0:j5", "schwarzschild:N36:c1.0:j6" ], [ "schwarzschild:N32:c1.0:j6", "schwarzschild:N32:c1.4:j6" ], [ "schwarzschild:N32:c1.0:j6", "schwarzschild:N36:c1.0:j7" ], [ "schwarzschild:N32:c1.0:j7", "schwarzschild:N32:c1.4:j7" ], [ "schwarzschild:N32:c1.0:j7", "schwarzschild:N36:c1.0:j8" ], [ "schwarzschild:N32:c1.4:j6", "schwarzschild:N36:c1.4:j6" ], [ "schwarzschild:N32:c1.4:j7", "schwarzschild:N36:c1.4:j7" ], [ "schwarzschild:N36:c0.7:j7", "schwarzschild:N36:c1.0:j6" ], [ "schwarzschild:N36:c0.7:j7", "schwarzschild:N40:c0.7:j9" ], [ "schwarzschild:N36:c0.7:j8", "schwarzschild:N36:c1.0:j7" ], [ "schwarzschild:N36:c0.7:j8", "schwarzschild:N36:c1.4:j6" ], [ "schwarzschild:N36:c0.7:j8", "schwarzschild:N40:c0.7:j10" ], [ "schwarzschild:N36:c0.7:j9", "schwarzschild:N36:c1.0:j8" ], [ "schwarzschild:N36:c0.7:j9", "schwarzschild:N36:c1.4:j7" ], [ "schwarzschild:N36:c0.7:j9", "schwarzschild:N40:c0.7:j11" ], [ "schwarzschild:N36:c1.0:j6", "schwarzschild:N40:c1.0:j10" ], [ "schwarzschild:N36:c1.0:j7", "schwarzschild:N36:c1.4:j6" ], [ "schwarzschild:N36:c1.0:j7", "schwarzschild:N40:c1.0:j11" ], [ "schwarzschild:N36:c1.0:j8", "schwarzschild:N36:c1.4:j7" ], [ "schwarzschild:N36:c1.0:j8", "schwarzschild:N40:c1.0:j12" ], [ "schwarzschild:N36:c1.4:j6", "schwarzschild:N40:c1.4:j8" ], [ "schwarzschild:N36:c1.4:j7", "schwarzschild:N40:c1.4:j9" ], [ "schwarzschild:N40:c0.7:j10", "schwarzschild:N40:c1.0:j11" ], [ "schwarzschild:N40:c0.7:j10", "schwarzschild:N40:c1.4:j8" ], [ "schwarzschild:N40:c0.7:j10", "schwarzschild:N44:c0.7:j11" ], [ "schwarzschild:N40:c0.7:j11", "schwarzschild:N40:c1.0:j12" ], [ "schwarzschild:N40:c0.7:j11", "schwarzschild:N40:c1.4:j9" ], [ "schwarzschild:N40:c0.7:j11", "schwarzschild:N44:c0.7:j12" ], [ "schwarzschild:N40:c0.7:j9", "schwarzschild:N40:c1.0:j10" ], [ "schwarzschild:N40:c0.7:j9", "schwarzschild:N40:c1.4:j7" ], [ "schwarzschild:N40:c0.7:j9", "schwarzschild:N44:c0.7:j10" ], [ "schwarzschild:N40:c1.0:j10", "schwarzschild:N40:c1.4:j7" ], [ "schwarzschild:N40:c1.0:j10", "schwarzschild:N44:c1.0:j9" ], [ "schwarzschild:N40:c1.0:j11", "schwarzschild:N40:c1.4:j8" ], [ "schwarzschild:N40:c1.0:j11", "schwarzschild:N44:c1.0:j10" ], [ "schwarzschild:N40:c1.0:j12", "schwarzschild:N40:c1.4:j9" ], [ "schwarzschild:N40:c1.0:j12", "schwarzschild:N44:c1.0:j11" ], [ "schwarzschild:N40:c1.4:j7", "schwarzschild:N44:c1.4:j7" ], [ "schwarzschild:N40:c1.4:j8", "schwarzschild:N44:c1.4:j8" ], [ "schwarzschild:N40:c1.4:j9", "schwarzschild:N44:c1.4:j9" ], [ "schwarzschild:N44:c0.7:j10", "schwarzschild:N44:c1.0:j9" ], [ "schwarzschild:N44:c0.7:j10", "schwarzschild:N44:c1.4:j7" ], [ "schwarzschild:N44:c0.7:j11", "schwarzschild:N44:c1.0:j10" ], [ "schwarzschild:N44:c0.7:j11", "schwarzschild:N44:c1.4:j8" ], [ "schwarzschild:N44:c0.7:j12", "schwarzschild:N44:c1.0:j11" ], [ "schwarzschild:N44:c0.7:j12", "schwarzschild:N44:c1.4:j9" ], [ "schwarzschild:N44:c1.0:j10", "schwarzschild:N44:c1.4:j8" ], [ "schwarzschild:N44:c1.0:j11", "schwarzschild:N44:c1.4:j9" ], [ "schwarzschild:N44:c1.0:j9", "schwarzschild:N44:c1.4:j7" ] ], "reference_anchors": [ { "branch_id": "branch-0163", "candidate_id": "poschl-teller:N44:c1.0:j1", "case": "poschl-teller", "configuration": [ "poschl-teller", 44, 1.0 ], "labeled": true, "reference_difference": 1.851594482652979e-13, "reference_gap": 0.1999999999871429, "second_reference_difference": 0.19999999998732806 }, { "branch_id": "branch-0174", "candidate_id": "schwarzschild:N44:c1.0:j11", "case": "schwarzschild", "configuration": [ "schwarzschild", 44, 1.0 ], "labeled": true, "reference_difference": 5.991034567263451e-14, "reference_gap": 0.18690727131513798, "second_reference_difference": 0.18690727131519788 }, { "branch_id": "branch-0005", "candidate_id": "kerr-radial:N44:c1.0:j10", "case": "kerr-radial", "configuration": [ "kerr-radial", 44, 1.0 ], "labeled": true, "reference_difference": 5.359109176254526e-09, "reference_gap": 0.18670893791682677, "second_reference_difference": 0.18670894327593596 } ], "requirements_sha256": "b1a0c4b6e571a19ffd3f71d95fbb5e48203c8d9f3b9cdde86f7c3b6f9643aa95", "schema": "spectral-qnm-corrected-v1", "scope": { "Kerr": "GM=1 s=-2 ell2 m1 a=.4, fixed complex A=3.767574385986149+.053240584492497i; not a coupled Kerr solver", "PT": "V0=1 alpha=.2 fundamental reference; separate exact nonconstant n1 controls", "Schwarzschild": "GM=1 axial s=-2 ell2 fundamental reference", "limitations": [ "Finite double-precision reference benchmark, not a general physical-mode classifier.", "Smooth endpoint rows and finite samples do not prove a retarded analytic domain or continuum convergence.", "No reference participates in numerical pair matching.", "All candidate failures are retained; increased N need not improve precision." ] }, "source_sha256": "dbd0d857e31bbf51d37a74114fad00dc88ecf2178fbe5185872409f365c1d0d6", "status": "computed finite benchmark; independent acceptance recorded separately", "thresholds": { "coefficient_tail": 0.0001, "eigenfunction_mismatch": 0.001, "frequency_difference": 5e-06, "horizon_row_residual": 0.0001, "infinity_row_residual": 0.0001, "ingoing_phase_residual": 0.0001, "outgoing_phase_residual": 0.0001, "pencil_residual": 1e-10, "reference_difference": 5e-06, "second_best_gap": 5e-06, "transformed_residual": 0.0001, "unfactored_residual": 0.0001 }, "versions": { "numpy": "2.0.2", "python": "3.9.6", "scipy": "1.13.1" } }