# Stored data for newform 1932.2.a.j, downloaded from the LMFDB on 28 March 2024. {"label": "1932.2.a.j", "space_label": "1932.2.a", "level": 1932, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679890828, "dim": 3, "is_polredabs": true, "nf_label": "3.3.1101.1", "trace_hash": 468327841927375888, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [12, -9, -1, 1]], [11, [-1, 1]]], "qexp_display": "q+q^{3}+\\beta _{1}q^{5}-q^{7}+q^{9}+q^{11}+(-1+\\cdots)q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7728, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 15.42709767051137, "hecke_ring_index": 1, "level_radical": 966, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [1932, 1, [967, 1289, 829, 925], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 1101, "field_disc_factorization": [[3, 1], [367, 1]], "field_poly": [12, -9, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "2.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "23.807", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "277.836", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1], [23, -1]], "trace_display": [0, 3, 1, -3], 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