# Stored data for newform 1600.4.a.bl, downloaded from the LMFDB on 25 April 2024.
{"label": "1600.4.a.bl", "space_label": "1600.4.a", "level": 1600, "weight": 4, "hecke_orbit": 38, "hecke_orbit_code": 166633186279818816, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2040523395852172617, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-4, 1]], [7, [-16, 1]], [11, [-60, 1]], [13, [-86, 1]]], "qexp_display": "q+4q^{3}+2^{4}q^{7}-11q^{9}+60q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25600, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 94.40305600918498, "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": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [1600, 1, [1151, 901, 577], [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": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.075", "prec": 17}, {"__RealLiteral__": 0, "data": "1.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.183", "prec": 17}, {"__RealLiteral__": 0, "data": "4.887", "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, 0, 16], "traces": [0, 1, 0, 4, 0, 0, 0, 16, 0, -11, 0, 60, 0, 86, 0, 0, 0, -18, 0, -44, 0, 64, 0, -48, 0, 0, 0, -152, 0, 186, 0, 176, 0, 240, 0, 0, 0, 254, 0, 344, 0, 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