# Stored data for newform 45.10.a.b, downloaded from the LMFDB on 16 April 2024.
{"label": "45.10.a.b", "space_label": "45.10.a", "level": 45, "weight": 10, "hecke_orbit": 2, "hecke_orbit_code": 4503599795142701, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1941692635643548790, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-4, 1]]], "qexp_display": "q+4q^{2}-496q^{4}-5^{4}q^{5}-7680q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4500, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 23.17661262737429, "hecke_ring_index": 1, "level_radical": 15, "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": [45, 1, [11, 37], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.028", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.107", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [4, 0, -625, -7680], "traces": [0, 1, 4, 0, -496, -625, 0, -7680, -4032, 0, -2500, 86404, 0, -149978, -30720, 0, 237824, 207622, 0, 716284, 310000, 0, 345616, -1369920, 0, 390625, -599912, 0, 3809280, 3194402, 0, -2349000, 3015680, 0, 830488, 4800000, 0, 18735710, 2865136, 0, 2520000, 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