# Stored data for newform 960.4.a.ba, downloaded from the LMFDB on 19 April 2024.
{"label": "960.4.a.ba", "space_label": "960.4.a", "level": 960, "weight": 4, "hecke_orbit": 27, "hecke_orbit_code": 117093590378742720, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 885631758886096287, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-24, 1]], [11, [-52, 1]]], "qexp_display": "q+3q^{3}-5q^{5}+24q^{7}+9q^{9}+52q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 15360, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 56.64183360551099, "hecke_ring_index": 1, "level_radical": 30, "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": [960, 1, [511, 901, 641, 577], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.928", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.797", "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], [3, -1], [5, 1]], "trace_display": [0, 3, -5, 24], "traces": [0, 1, 0, 3, 0, -5, 0, 24, 0, 9, 0, 52, 0, -22, 0, -15, 0, -14, 0, -20, 0, 72, 0, 168, 0, 25, 0, 27, 0, -230, 0, 288, 0, 156, 0, -120, 0, 34, 0, -66, 0, 122, 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