# Stored data for newform 192.8.a.o, downloaded from the LMFDB on 01 May 2024.
{"label": "192.8.a.o", "space_label": "192.8.a", "level": 192, "weight": 8, "hecke_orbit": 15, "hecke_orbit_code": 63050394917404864, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 309459531744431581, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-378, 1]], [7, [832, 1]]], "qexp_display": "q+3^{3}q^{3}+378q^{5}-832q^{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": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.891", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.586", "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, 378, -832], "traces": [0, 1, 0, 27, 0, 378, 0, -832, 0, 729, 0, 2484, 0, -14870, 0, 10206, 0, -22302, 0, 16300, 0, -22464, 0, -115128, 0, 64759, 0, 19683, 0, -157086, 0, -16456, 0, 67068, 0, -314496, 0, 149266, 0, -401490, 0, -241110, 0, 443188, 0, 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