# Stored data for newform 6042.2.a.q, downloaded from the LMFDB on 25 April 2024.
{"label": "6042.2.a.q", "space_label": "6042.2.a", "level": 6042, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071488410, "dim": 3, "is_polredabs": true, "nf_label": "3.3.257.1", "trace_hash": 1574792950460942595, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-7, -2, 3, 1]], [7, [9, -10, 1, 1]], [11, [9, 0, -5, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+(-1-\\beta _{2})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": 1, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [6042, 1, [2015, 4771, 2281], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 19, 53], "conrey_indexes": [1], "field_disc": 257, "field_disc_factorization": [[257, 1]], "field_poly": [3, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "2.894", "prec": 17}, {"__RealLiteral__": 0, "data": "0.323", "prec": 17}, {"__RealLiteral__": 0, "data": "21.442", "prec": 20}, {"__RealLiteral__": 0, "data": "5.953", "prec": 17}, {"__RealLiteral__": 0, "data": "233.343", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [19, -1], [53, 1]], "trace_display": [-3, -3, -3, -1], "traces": [0, 3, -3, -3, 3, -3, 3, -1, -3, 3, 3, 5, -3, 3, 1, 3, 3, 7, -3, 3, -3, 1, 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