# Stored data for newform 45.10.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "45.10.a.d", "space_label": "45.10.a", "level": 45, "weight": 10, "hecke_orbit": 4, "hecke_orbit_code": 13510799049883693, "dim": 2, "is_polredabs": true, "nf_label": "2.2.241.1", "trace_hash": 1411616041617400603, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-302, 31, 1]]], "qexp_display": "q+(-2^{4}-\\beta )q^{2}+(286+31\\beta )q^{4}-5^{4}q^{5}+\\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": 3, "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": 2, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 241, "field_disc_factorization": [[241, 1]], "field_poly": [-60, -1, 1], "hecke_ring_index_factorization": [[3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "1.883", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.125", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.091", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [-31, 0, -1250, 14112], "traces": [0, 2, -31, 0, 541, -1250, 0, 14112, -26133, 0, 19375, 21512, 0, 24284, -461664, 0, 387265, 156956, 0, -95896, -338125, 0, -2901532, 735264, 0, 781250, 5419166, 0, 11348064, 2678212, 0, 10782432, 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