# Stored data for newform 6042.2.a.bf, downloaded from the LMFDB on 28 March 2024. {"label": "6042.2.a.bf", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 32, "hecke_orbit_code": 139611588482045850, "dim": 12, "is_polredabs": true, "trace_hash": 1884848956020871938, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [1776, -8664, 4812, 12062, -5804, -6747, 1556, 1765, -45, -191, -16, 7, 1]], [7, [-5696, 4352, 47232, -62648, -1597, 24757, -3494, -3596, 658, 224, -44, -5, 1]], [11, [-1767424, 3665920, -2092928, -304384, 557264, -47288, -56472, 7230, 2978, -329, -84, 5, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+(-1+\\beta _{1})q^{5}-q^{6}+\\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": "0.005", "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": 3685515556288923686874384, "field_disc_factorization": [[2, 4], [3, 3], [7, 1], [29, 1], [42026039457773714729, 1]], "field_poly": [4048, 9264, -7876, -12206, 5237, 5910, -1685, -1313, 294, 134, -27, -5, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.279", "prec": 17}, {"__RealLiteral__": 0, "data": "10.134", "prec": 20}, {"__RealLiteral__": 0, "data": "6.769", "prec": 17}, {"__RealLiteral__": 0, "data": "324.019", "prec": 24}, {"__RealLiteral__": 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