# Stored data for newform 9405.2.a.bm, downloaded from the LMFDB on 15 May 2024.
{"label": "9405.2.a.bm", "space_label": "9405.2.a", "level": 9405, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873642685, "dim": 10, "is_polredabs": true, "trace_hash": 1927337751877702875, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [9, -63, -337, -276, 166, 232, 5, -55, -10, 4, 1]], [7, [4544, -13092, -804, 10699, -1412, -2404, 417, 194, -37, -5, 1]], [13, [-6144, -8192, 12704, 13120, -4952, -3456, 822, 269, -61, -4, 1]], [17, [940032, 559488, -250240, -186288, 11016, 18512, 644, -727, -55, 10, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(2+\\beta _{2})q^{4}+q^{5}+\\beta _{7}q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37620, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 75.0993031010142, "hecke_ring_index": 2, "level_radical": 3135, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [9405, 1, [1046, 1882, 5986, 496], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [3, 5, 11, 19], "conrey_indexes": [1], "field_disc": 2595125168394284396, "field_disc_factorization": [[2, 2], [13, 1], [120963991, 1], [412571153, 1]], "field_poly": [9, 63, -337, 276, 166, -232, 5, 55, -10, -4, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "8.781", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "257.271", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12563.115", 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