# Stored data for newform 192.8.a.a, downloaded from the LMFDB on 28 April 2024.
{"label": "192.8.a.a", "space_label": "192.8.a", "level": 192, "weight": 8, "hecke_orbit": 1, "hecke_orbit_code": 134217920, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2053189388733929454, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [390, 1]], [7, [-64, 1]]], "qexp_display": "q-3^{3}q^{3}-390q^{5}+2^{6}q^{7}+3^{6}q^{9}+\\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": 1, "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": 1, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.909", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1]], "trace_display": [0, -27, -390, 64], "traces": [0, 1, 0, -27, 0, -390, 0, 64, 0, 729, 0, -948, 0, 5098, 0, 10530, 0, 28386, 0, -8620, 0, -1728, 0, 15288, 0, 73975, 0, -19683, 0, -36510, 0, 276808, 0, 25596, 0, -24960, 0, -268526, 0, -137646, 0, -629718, 0, 685772, 0, 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