# Stored data for newform 1232.4.a.e, downloaded from the LMFDB on 18 April 2024.
{"label": "1232.4.a.e", "space_label": "1232.4.a", "level": 1232, "weight": 4, "hecke_orbit": 5, "hecke_orbit_code": 18014398576592080, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 92412693941153752, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [0, 1]], [5, [-2, 1]]], "qexp_display": "q+2q^{5}+7q^{7}-3^{3}q^{9}-11q^{11}+26q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 19712, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 72.69035312707244, "hecke_ring_index": 1, "level_radical": 154, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [1232, 1, [463, 309, 353, 673], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.043", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.134", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1], [11, 1]], "trace_display": [0, 0, 2, 7], "traces": [0, 1, 0, 0, 0, 2, 0, 7, 0, -27, 0, -11, 0, 26, 0, 0, 0, -46, 0, 48, 0, 0, 0, 128, 0, -121, 0, 0, 0, -146, 0, 128, 0, 0, 0, 14, 0, -26, 0, 0, 0, 10, 0, -52, 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