# Stored data for newform 9522.2.a.bt, downloaded from the LMFDB on 25 April 2024.
{"label": "9522.2.a.bt", "space_label": "9522.2.a", "level": 9522, "weight": 2, "hecke_orbit": 46, "hecke_orbit_code": 202661983265236274, "dim": 5, "is_polredabs": true, "nf_label": "5.5.14641.1", "trace_hash": 654505140355259795, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [23, -35, 6, 13, -7, 1]], [7, [-23, -35, -6, 13, 7, 1]], [11, [1, 15, -53, 50, -13, 1]], [29, [-1693, 1164, 413, -75, -7, 1]]], "qexp_display": "q-q^{2}+q^{4}+(1+\\beta _{3}-\\beta _{4})q^{5}+(-2+\\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": 38088, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 76.03355280466319, "hecke_ring_index": 1, "level_radical": 138, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 22, "field_poly_is_real_cyclotomic": true, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [9522, 1, [2117, 1063], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 23], "conrey_indexes": [1], "field_disc": 14641, "field_disc_factorization": [[11, 4]], "field_poly": [-1, 3, 3, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "4.758", "prec": 17}, {"__RealLiteral__": 0, "data": "0.623", "prec": 17}, {"__RealLiteral__": 0, "data": "65.645", "prec": 20}, {"__RealLiteral__": 0, "data": "4.838", "prec": 17}, {"__RealLiteral__": 0, "data": "1426.509", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [23, 1]], "trace_display": [-5, 0, 7, -7], "traces": [0, 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