# Stored data for newform 1200.4.a.bk, downloaded from the LMFDB on 13 March 2026.
{"Nk2": 19200, "analytic_conductor": 70.80229200688873, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1]], "atkin_lehner_string": "--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[7, [-32, 1]], [11, [-60, 1]]], "hecke_orbit": 37, "hecke_orbit_code": 162129586652447920, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1200.4.a.bk", "level": 1200, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "30.4.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{3}+2^{5}q^{7}+9q^{9}+60q^{11}+34q^{13}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1200.4.a", "trace_display": [0, 3, 0, 32], "trace_hash": 172387767508207183, "trace_moments": [{"__RealLiteral__": 0, "data": "0.034", "prec": 17}, {"__RealLiteral__": 0, "data": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "1.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.226", "prec": 17}, {"__RealLiteral__": 0, "data": "4.984", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "traces": [0, 1, 0, 3, 0, 0, 0, 32, 0, 9, 0, 60, 0, 34, 0, 0, 0, -42, 0, 76, 0, 96, 0, 0, 0, 0, 0, 27, 0, 6, 0, 232, 0, 180, 0, 0, 0, -134, 0, 102, 0, 234, 0, -412, 0, 0, 0, -360, 0, 681, 0, -126, 0, -222, 0, 0, 0, 228, 0, -660, 0, -490, 0, 288, 0, 0, 0, 812, 0, 0, 0, -120, 0, -746, 0, 0, 0, 1920, 0, -152, 0, 81, 0, -804, 0, 0, 0, 18, 0, -678, 0, 1088, 0, 696, 0, 0, 0, -194, 0, 540, 0, 798, 0, 1088, 0, 0, 0, 1716, 0, -970, 0, -402, 0, -426, 0, 0, 0, 306, 0, -1344, 0, 2269, 0, 702, 0, 0, 0, 200, 0, -1236, 0, -60, 0, 2432, 0, 0, 0, -642, 0, 2836, 0, -1080, 0, 2040, 0, 0, 0, 2043, 0, -1554, 0, 2272, 0, -378, 0, 0, 0, -1694, 0, -666, 0, 0, 0, -52, 0, 0, 0, -1200, 0, -1041, 0, 684, 0, -54, 0, 0, 0, -1980, 0, -876, 0, 3854, 0, -1470, 0, 0, 0, -2520, 0, 864, 0, 2784, 0, -914, 0, 0, 0, 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