# Stored data for newform 192.8.a.s, downloaded from the LMFDB on 23 April 2024.
{"label": "192.8.a.s", "space_label": "192.8.a", "level": 192, "weight": 8, "hecke_orbit": 19, "hecke_orbit_code": 81064793426886848, "dim": 2, "is_polredabs": true, "nf_label": "2.2.24.1", "trace_hash": 1003075157674346414, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-124220, -28, 1]], [7, [-458352, 936, 1]]], "qexp_display": "q-3^{3}q^{3}+(14+3\\beta )q^{5}+(-468+7\\beta )q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12288, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 59.97792489295138, "hecke_ring_index": 48, "level_radical": 6, "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": [192, 1, [127, 133, 65], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 24, "field_disc_factorization": [[2, 3], [3, 1]], "field_poly": [-6, 0, 1], "hecke_ring_index_factorization": [[2, 4], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.858", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "55.781", "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], [3, 1]], "trace_display": [0, -54, 28, -936], "traces": [0, 2, 0, -54, 0, 28, 0, -936, 0, 1458, 0, -3384, 0, 17076, 0, -756, 0, -18668, 0, 44856, 0, 25272, 0, -43488, 0, 92974, 0, -39366, 0, 19484, 0, -332856, 0, 91368, 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