# Stored data for newform 304.4.a.b, downloaded from the LMFDB on 20 April 2024.
{"label": "304.4.a.b", "space_label": "304.4.a", "level": 304, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694479664, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2093783996242105221, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-5, 1]]], "qexp_display": "q+5q^{3}-12q^{5}-11q^{7}-2q^{9}+54q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4864, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 17.936580641745145, "hecke_ring_index": 1, "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": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [304, 1, [191, 229, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 19], "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": "0.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.004", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [19, 1]], "trace_display": [0, 5, -12, -11], "traces": [0, 1, 0, 5, 0, -12, 0, -11, 0, -2, 0, 54, 0, 11, 0, -60, 0, -93, 0, -19, 0, -55, 0, -183, 0, 19, 0, -145, 0, -249, 0, -56, 0, 270, 0, 132, 0, -250, 0, 55, 0, 240, 0, 196, 0, 24, 0, 168, 0, -222, 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