# Stored data for newform 304.8.a.g, downloaded from the LMFDB on 18 April 2024.
{"label": "304.8.a.g", "space_label": "304.8.a", "level": 304, "weight": 8, "hecke_orbit": 7, "hecke_orbit_code": 27021597898441008, "dim": 5, "is_polredabs": true, "trace_hash": 848626110791841174, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [47116944, 6469524, 22536, -7259, -14, 1]]], "qexp_display": "q+(3+\\beta _{1})q^{3}+(-56+\\beta _{1}-\\beta _{2})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19456, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 94.96504774717302, "hecke_ring_index": 504, "level_radical": 38, "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": [304, 1, [191, 229, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 55113492007361400, "field_disc_factorization": [[2, 3], [3, 1], [5, 2], [19, 1], [4834516842751, 1]], "field_poly": [567036, -625803, 113222, -5014, -2, 1], "hecke_ring_index_factorization": [[2, 3], [3, 2], [7, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.128", "prec": 17}, {"__RealLiteral__": 0, "data": "4.891", "prec": 17}, {"__RealLiteral__": 0, "data": "0.474", "prec": 17}, {"__RealLiteral__": 0, "data": "64.877", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1297.237", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [19, -1]], "trace_display": [0, 14, -280, -414], "traces": [0, 5, 0, 14, 0, -280, 0, -414, 0, 3779, 0, 2662, 0, -602, 0, 20800, 0, -27366, 0, 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