# Stored data for newform 384.4.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "384.4.a.f", "space_label": "384.4.a", "level": 384, "weight": 4, "hecke_orbit": 6, "hecke_orbit_code": 22517998203961728, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1025447882354693536, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [4, 1]], [7, [10, 1]]], "qexp_display": "q+3q^{3}-4q^{5}-10q^{7}+9q^{9}+4q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6144, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 22.656733442204395, "hecke_ring_index": 1, "level_radical": 6, "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": 0, "analytic_rank_proved": true, "char_values": [384, 1, [127, 133, 257], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3], "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": "1.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.884", "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]], "trace_display": [0, 3, -4, -10], "traces": [0, 1, 0, 3, 0, -4, 0, -10, 0, 9, 0, 4, 0, -26, 0, -12, 0, 14, 0, -8, 0, -30, 0, -148, 0, -109, 0, 27, 0, -72, 0, -18, 0, 12, 0, 40, 0, -262, 0, -78, 0, -378, 0, 432, 0, -36, 0, -148, 0, -243, 0, 42, 0, -360, 0, -16, 0, -24, 0, 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