# Stored data for newform 147.12.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "147.12.a.c", "space_label": "147.12.a", "level": 147, "weight": 12, "hecke_orbit": 3, "hecke_orbit_code": 9007199456067731, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1264031868940243731, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-78, 1]], [5, [-5370, 1]]], "qexp_display": "q+78q^{2}+3^{5}q^{3}+4036q^{4}+5370q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21168, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 112.94644754225956, "hecke_ring_index": 1, "level_radical": 21, "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": 0, "analytic_rank_proved": true, "char_values": [147, 1, [50, 52], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.072", "prec": 17}, {"__RealLiteral__": 0, "data": "1.916", "prec": 17}, {"__RealLiteral__": 0, "data": "0.204", "prec": 17}, {"__RealLiteral__": 0, "data": "4.745", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "11.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "trace_display": [78, 243, 5370, 0], "traces": [0, 1, 78, 243, 4036, 5370, 18954, 0, 155064, 59049, 418860, 637836, 980748, -766214, 0, 1304910, 3829264, -3084354, 4605822, 19511404, 21673320, 0, 49751208, 15312360, 37680552, -19991225, -59764692, 14348907, 0, 10751262, 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