# Stored data for newform 2366.4.a.k, downloaded from the LMFDB on 04 June 2024.
{"Nk2": 37856, "analytic_conductor": 139.59851907358228, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [7, 1], [13, 1]], "atkin_lehner_string": "-++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [2366, 1, [339, 2199], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 1169, "field_disc_factorization": [[7, 1], [167, 1]], "field_poly": [-292, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [4, 1]], [5, [-286, 5, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996340816190, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 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{"__RealLiteral__": 0, "data": "9.516", "prec": 17}, {"__RealLiteral__": 0, "data": "0.403", "prec": 17}, {"__RealLiteral__": 0, "data": "67.858", "prec": 20}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 2, 4, -8, 8, -5, -16, -14, 16, -22, -10, 22, -32, 0, -28, 20, 32, -74, -44, -41, -20, 56, 44, 105, -64, 347, 0, 304, -56, 341, 40, -81, 64, -88, -148, 35, -88, -378, -82, 0, -40, -672, 112, -163, 88, 55, 210, 61, -128, 98, 694, 296, 0, -7, 608, 1114, -112, 164, 682, 484, 80, 108, -162, 154, 128, 0, -176, 518, -296, -420, 70, 1336, -176, -1335, -756, -1388, -164, -154, 0, -1431, -80, -622, -1344, -1747, 224, -984, -326, -1364, 176, 193, 110, 0, 420, 324, 122, -3989, -256, -1595, 196, -242, 1388, -576, 592, 1472, 0, -140, -14, 608, 1216, 560, 2228, 1512, -224, 1703, 328, -847, 1364, 0, 968, 518, 160, -82, 216, 2688, -324, -3165, 308, 292, 256, 652, 0, -4200, -352, 287, 1036, -760, -592, 2086, -840, 642, 140, -244, 2672, 0, -352, -1437, -2670, -392, 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