# Stored data for newform 462.6.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "462.6.a.a", "space_label": "462.6.a", "level": 462, "weight": 6, "hecke_orbit": 1, "hecke_orbit_code": 100663758, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 344546934486176392, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [78, 1]]], "qexp_display": "q-4q^{2}-9q^{3}+2^{4}q^{4}-78q^{5}+6^{2}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16632, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 74.09732475359705, "hecke_ring_index": 1, "level_radical": 462, "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": [462, 1, [155, 199, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "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": "1.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "2.042", "prec": 17}, {"__RealLiteral__": 0, "data": "0.115", "prec": 17}, {"__RealLiteral__": 0, "data": "5.109", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, -1], [11, -1]], "trace_display": [-4, -9, -78, 49], "traces": [0, 1, -4, -9, 16, -78, 36, 49, -64, 81, 312, 121, -144, -502, -196, 702, 256, -642, -324, -520, -1248, -441, -484, 1020, 576, 2959, 2008, -729, 784, 4818, -2808, 1784, -1024, -1089, 2568, -3822, 1296, 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