# Stored data for newform 6042.2.a.bh, downloaded from the LMFDB on 25 April 2024. {"label": "6042.2.a.bh", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 34, "hecke_orbit_code": 148618787736786842, "dim": 13, "is_polredabs": true, "trace_hash": 300129081986187245, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [1200, 9304, 16812, -9466, -22200, 6938, 9639, -2914, -1707, 537, 123, -40, -3, 1]], [7, [3968, -15168, -62896, 25904, 82128, -42164, -28197, 23604, -2746, -1634, 446, 6, -12, 1]], [11, [53760, -401536, 182464, 504464, -342376, -107416, 117034, -7136, -10792, 1681, 365, -75, -4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+\\beta _{1}q^{5}+q^{6}+(1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24168, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 48.24561290125761, "hecke_ring_index": 2, "level_radical": 6042, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [6042, 1, [2015, 4771, 2281], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 19, 53], "conrey_indexes": [1], "field_disc": 26409497127954449412983594992, "field_disc_factorization": [[2, 4], [283, 1], [13577, 1], [251854789, 1], [1705688346113, 1]], "field_poly": [1200, 9304, 16812, -9466, -22200, 6938, 9639, -2914, -1707, 537, 123, -40, -3, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "10.939", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "372.874", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "20590.129", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 13, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [19, -1], [53, 1]], "trace_display": [13, 13, 3, 12], "traces": [0, 13, 13, 13, 13, 3, 13, 12, 13, 13, 3, 4, 13, 18, 12, 3, 13, 3, 13, 13, 3, 12, 4, 8, 13, 24, 18, 13, 12, 11, 3, 2, 13, 4, 3, -6, 13, 26, 13, 18, 3, 3, 12, 24, 4, 3, 8, 4, 13, 41, 24, 3, 18, -13, 13, 23, 12, 13, 11, 8, 3, 29, 2, 12, 13, 13, 4, -5, 3, 8, -6, 29, 13, 15, 26, 24, 13, 3, 18, 15, 3, 13, 3, 4, 12, -1, 24, 11, 4, 3, 3, -29, 8, 2, 4, 3, 13, 50, 41, 4, 24, 4, 3, 21, 18, -6, -13, -14, 13, 6, 23, 26, 12, 20, 13, -41, 11, 18, 8, -9, 3, 23, 29, 3, 2, -12, 12, 54, 13, 24, 13, 11, 4, 12, -5, 3, 3, -18, 8, 26, -6, 4, 29, -6, 13, 22, 15, 41, 26, -11, 24, 19, 13, 3, 3, -3, 18, 32, 15, -13, 3, -18, 13, -49, 3, 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