# Stored data for newform 90.10.a.e, downloaded from the LMFDB on 20 April 2024.
{"label": "90.10.a.e", "space_label": "90.10.a", "level": 90, "weight": 10, "hecke_orbit": 5, "hecke_orbit_code": 18014398677254234, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1105593565793395845, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [-4658, 1]], [11, [28992, 1]]], "qexp_display": "q-2^{4}q^{2}+2^{8}q^{4}+5^{4}q^{5}+4658q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9000, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 46.35322525474858, "hecke_ring_index": 1, "level_radical": 30, "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": [90, 1, [11, 37], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 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": "0.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.099", "prec": 17}, {"__RealLiteral__": 0, "data": "5.014", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "9.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1]], "trace_display": [-16, 0, 625, 4658], "traces": [0, 1, -16, 0, 256, 625, 0, 4658, -4096, 0, -10000, -28992, 0, -164446, -74528, 0, 65536, 594822, 0, -295780, 160000, 0, 463872, -2544534, 0, 390625, 2631136, 0, 1192448, 3722970, 0, 2335772, -1048576, 0, -9517152, 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