# Stored data for newform 576.8.a.bf, downloaded from the LMFDB on 04 May 2024.
{"label": "576.8.a.bf", "space_label": "576.8.a", "level": 576, "weight": 8, "hecke_orbit": 32, "hecke_orbit_code": 139611588582703680, "dim": 2, "is_polredabs": true, "nf_label": "2.2.40.1", "trace_hash": 1799289986398069472, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-155740, 180, 1]], [7, [-112384, -1248, 1]], [11, [6030400, -9040, 1]]], "qexp_display": "q+(-90+8\\beta )q^{5}+(624-14\\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": 36864, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 179.93377467885412, "hecke_ring_index": 16, "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": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [576, 1, [127, 325, 65], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 40, "field_disc_factorization": [[2, 3], [5, 1]], "field_poly": [-10, 0, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.676", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.950", "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, 0, -180, 1248], "traces": [0, 2, 0, 0, 0, -180, 0, 1248, 0, 0, 0, 9040, 0, 2500, 0, 0, 0, -17220, 0, -74160, 0, 0, 0, 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