# Stored data for newform 320.4.a.j, downloaded from the LMFDB on 24 April 2024.
{"label": "320.4.a.j", "space_label": "320.4.a", "level": 320, "weight": 4, "hecke_orbit": 10, "hecke_orbit_code": 40532396713443648, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1057830574696923226, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-4, 1]], [7, [16, 1]]], "qexp_display": "q+4q^{3}-5q^{5}-2^{4}q^{7}-11q^{9}+6^{2}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5120, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 18.880611201836995, "hecke_ring_index": 1, "level_radical": 10, "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": "0.000", "prec": 17}, "analytic_rank_proved": true, "char_values": [320, 1, [191, 261, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5], "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": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.103", "prec": 17}, {"__RealLiteral__": 0, "data": "4.677", "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], [5, 1]], "trace_display": [0, 4, -5, -16], "traces": [0, 1, 0, 4, 0, -5, 0, -16, 0, -11, 0, 36, 0, 42, 0, -20, 0, -110, 0, -116, 0, -64, 0, -16, 0, 25, 0, -152, 0, -198, 0, -240, 0, 144, 0, 80, 0, 258, 0, 168, 0, 442, 0, 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