# Stored data for newform 8037.2.a.n, downloaded from the LMFDB on 24 April 2024.
{"label": "8037.2.a.n", "space_label": "8037.2.a", "level": 8037, "weight": 2, "hecke_orbit": 14, "hecke_orbit_code": 58546795189378917, "dim": 16, "is_polredabs": true, "trace_hash": 2069267020295425977, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-25, 62, 179, -456, -487, 1250, 618, -1639, -320, 1115, 4, -390, 47, 65, -13, -4, 1]], [5, [-176, 824, 11080, 31308, 27093, -16418, -34504, -1285, 16349, 2275, -4109, -481, 559, 38, -38, -1, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{9}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": 32148, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 64.17576810450305, "hecke_ring_index": 1, "level_radical": 2679, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [8037, 1, [4466, 1693, 7525], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [3, 19, 47], "conrey_indexes": [1], "field_disc": 127458131297282820553768024633, "field_disc_factorization": [[11, 2], [13, 2], [239, 1], [26079398527591720795703, 1]], "field_poly": [-25, 62, 179, -456, -487, 1250, 618, -1639, -320, 1115, 4, -390, 47, 65, -13, -4, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "12.946", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "531.115", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37180.135", "prec": 30}], 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