# Stored data for newform 304.8.a.d, downloaded from the LMFDB on 18 April 2024.
{"label": "304.8.a.d", "space_label": "304.8.a", "level": 304, "weight": 8, "hecke_orbit": 4, "hecke_orbit_code": 13510799016329520, "dim": 2, "is_polredabs": true, "nf_label": "2.2.633.1", "trace_hash": 1988021691726860107, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-234, -69, 1]]], "qexp_display": "q+(6^{2}-3\\beta )q^{3}+(93-31\\beta )q^{5}+(1133+\\cdots)q^{7}+\\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": 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": 0, "analytic_rank_proved": true, "char_values": [304, 1, [191, 229, 97], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 633, "field_disc_factorization": [[3, 1], [211, 1]], "field_poly": [-158, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.053", "prec": 17}, {"__RealLiteral__": 0, "data": "1.916", "prec": 17}, {"__RealLiteral__": 0, "data": "0.355", "prec": 17}, {"__RealLiteral__": 0, "data": "9.377", "prec": 17}, {"__RealLiteral__": 0, "data": "3.031", "prec": 17}, {"__RealLiteral__": 0, "data": "66.641", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [19, -1]], "trace_display": [0, 69, 155, 2238], "traces": [0, 2, 0, 69, 0, 155, 0, 2238, 0, 855, 0, 3295, 0, -13427, 0, 34782, 0, -32256, 0, 13718, 0, 103797, 0, 82525, 0, 159919, 0, 75141, 0, -12749, 0, -258944, 0, 257052, 0, 448167, 0, 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