# Stored data for newform 9126.2.a.r, downloaded from the LMFDB on 18 April 2024.
{"label": "9126.2.a.r", "space_label": "9126.2.a", "level": 9126, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561193698861990, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 297394866669421233, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-3, 1]], [7, [-1, 1]], [11, [3, 1]], [17, [0, 1]]], "qexp_display": "q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36504, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 72.87147688462048, "hecke_ring_index": 1, "level_radical": 78, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [9126, 1, [677, 3889], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 13], "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": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.929", "prec": 17}], "related_objects": ["EllipticCurve/Q/9126/r"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [13, 1]], "trace_display": [-1, 0, 3, 1], "traces": [0, 1, -1, 0, 1, 3, 0, 1, -1, 0, -3, -3, 0, 0, -1, 0, 1, 0, 0, -2, 3, 0, 3, 6, 0, 4, 0, 0, 1, -6, 0, -5, -1, 0, 0, 3, 0, -2, 2, 0, -3, -6, 0, -10, -3, 0, -6, 6, 0, -6, -4, 0, 0, -9, 0, -9, -1, 0, 6, 12, 0, 8, 5, 0, 1, 0, 0, -14, 0, 0, -3, 0, 0, 7, 2, 0, -2, -3, 0, 8, 3, 0, 6, -3, 0, 0, 10, 0, 3, -18, 0, 0, 6, 0, -6, -6, 0, 1, 6, 0, 4, 3, 0, -4, 0, 0, 9, -9, 0, -2, 9, 0, 1, 6, 0, 18, -6, 0, -12, 0, 0, -2, -8, 0, -5, -3, 0, -7, -1, 0, 0, 15, 0, -2, 14, 0, 0, 6, 0, -4, 3, 0, 0, 0, 0, -18, -7, 0, -2, 3, 0, -17, 2, 0, 3, -15, 0, -4, -8, 0, -3, 6, 0, -20, -6, 0, 3, -6, 0, 0, 0, 0, -10, -15, 0, 4, -3, 0, 18, 9, 0, -16, 0, 0, -6, -6, 0, 0, 6, 0, 6, 12, 0, -5, -1, 0, -6, 9, 0, -7, -4, 0, -3, -6, 0, -18, 4, 0, 0, 6, 0, -22, -9, 0, 9, -30, 0, -5, 2, 0, -9, 0, 0, -8, -1, 0, -6, -12, 0, -14, -18, 0, 6, -18, 0, 18, 12, 0, 0, 30, 0, 10, 2, 0, 8, -18, 0, 0, 5, 0, 3, 0, 0, -18, 7, 0, 1, -12, 0, -2, 0, 0, -15, 30, 0, -27, 2, 0, -14, 18, 0, 25, 0, 0, -6, -12, 0, 8, 4, 0, -3, 24, 0, 14, 0, 0, 0, -6, 0, -17, 18, 0, 7, -6, 0, 36, 2, 0, -3, 0, 0, -10, 17, 0, -2, 24, 0, 16, -3, 0, 15, 6, 0, -19, 4, 0, 8, -3, 0, 18, 3, 0, -6, 0, 0, 0, 20, 0, 6, 6, 0, 10, -3, 0, 6, -42, 0, -22, 0, 0, 0, 15, 0, -13, 10, 0, 15, -3, 0, 10, -4, 0, 3, 6, 0, 0, -18, 0, -9, 18, 0, -15, 16, 0, 0, 21, 0, 17, 6, 0, 6, -9, 0, 32, 0, 0, -6, 0, 0, -20, -6, 0, -12, -24, 0, -9, 5, 0, 1, 21, 0, 0, 6, 0, -9, 24, 0, -20, 7, 0, 4, 12, 0, 0, 3, 0, 6, 6, 0, -23, 18, 0, -4, 12, 0, -9, 0, 0, -6, -12, 0, -8, 22, 0, 9, 0, 0, 8, -9, 0, 30, 18, 0, 29, 5, 0, -2, -12, 0, -19, 9, 0, 0, 12, 0, -54, 8, 0, 1, -18, 0, 18, 6, 0, 12, 0, 0, 1, 14, 0, 18, -21, 0, 13, -6, 0, 18, 27, 0, -14, -18, 0, -12, 30, 0, -8, 0, 0, -30, 6, 0, 0, -10, 0, -2, 3, 0, 16, -8, 0, 18, -39, 0, 0, 0, 0, -5, 0, 0, -14, -3, 0, 0, 18, 0, 9, 18, 0, -7, -15, 0, 7, -1, 0, 12, -12, 0, -18, 2, 0, 0, -36, 0, -16, 15, 0, -30, 0, 0, 13, 27, 0, -2, 0, 0, -27, 14, 0, -18, 18, 0, -20, -25, 0, 0, -6, 0, 8, 6, 0, 12, 12, 0, 8, -8, 0, -4, 27, 0, 0, 3, 0, -24, -3, 0, 18, -14, 0, 0, 12, 0, -4, 0, 0, 6, 24, 0, -38, 17, 0, -18, -3, 0, 27, -7, 0, 6, -3, 0, 10, -36, 0, -2, 18, 0, 0, 3, 0, 0, 42, 0, 35, 10, 0, -17, -6, 0, 32, 2, 0, -24, 0, 0, 34, -16, 0, 3, -42, 0, 28, -15, 0, -6, -18, 0, -29, 19, 0, -4, 0, 0, 25, -8, 0, 3, -21, 0, 0, -18, 0, -3, -42, 0, 4, 6, 0, 0, 0, 0, -36, 0, 0, -20, -39, 0, 45, -6, 0, -6, 21, 0, -14, -10, 0, 3, -6, 0, -36, -6, 0, 42, -24, 0, -19, 22, 0, 0, -42, 0, 1, 0, 0, -15, -36, 0, 18, 13, 0, -10, 0, 0, -44, -15, 0, 3, -12, 0, 0, -10, 0, 4, -9, 0, 4, -3, 0, -6, 3, 0, -44, 0, 0, 18, -30, 0, 0, 9, 0, -18, -36, 0, -4, 15, 0, -16, -24, 0, -1, 0, 0, -21, 0, 0, 22, -17, 0, -6, 42, 0, 16, -6, 0, 9, 12, 0, 9, -32, 0, 0, -9, 0, 41, 6, 0, 0, -51, 0, 2, 20, 0, 6, 48, 0, -2, 12, 0, 24, 0, 0, 31, 9, 0, -5, -18, 0, -20, -1, 0, -21, 12, 0, 0, 0, 0, -6, -12, 0, -32, 9, 0, -24, 6, 0, 0, 20, 0, -7, -39, 0, 0, -4, 0, -12, -21, 0, 18, 0, 0, -3, -18, 0, -2, -6, 0, -6, -60, 0, 20, 23, 0, -18, 6, 0, -31, 4, 0, -12, 0, 0, 2, 9, 0, 0, 0, 0, -18, 6, 0, 12, 24, 0, 7, 8, 0, -22, 0, 0, -2, -9, 0, 0, -12, 0, 10, -8, 0, 9, 48, 0, -40, -30, 0, -18, -36, 0, -45, -29, 0, -5, -24, 0, 0, 2, 0, 12, -3, 0, 22, 19, 0, -9, 36, 0, 2, 0, 0, -12, -12, 0, -7, 54, 0, -8, -12, 0, 27, -1, 0, 18, 30, 0, 0, -18, 0, -6, -48, 0, 26, -12, 0, 0, -6, 0, 9, -1, 0, -14, 15, 0, 29, -18, 0, 21, 0, 0, -8, -13, 0, 6, -12, 0, 12, -18, 0, -27, 0, 0, 11, 14, 0, 18, -33, 0, -36, 12, 0, -30, 51, 0, 0, 8, 0, 0, 36, 0, 36, 30, 0, -6, 6, 0, -6, 0, 0, 10, -15, 0, -23, 2, 0, -3, 27, 0, -4, -16, 0, 8, -42, 0, 54, -18, 0, 39, 6, 0, 27, 0, 0, 0, -60, 0, 47, 5, 0, 0, -21, 0, -28, 14, 0, 3, 0, 0, 0, 0, 0, -18, 18, 0, -11, -9, 0, -18, 6, 0, -18, 7, 0, 15, 15, 0, 58, -7, 0, 1, -24, 0, 0, -12, 0, 12, -30, 0, -26, 18, 0, -2, 0, 0, -31, 0, 0, 36, 3, 0, 18, 16, 0, -15, 6, 0, -26, 30, 0, 0, -66, 0, -17, -13, 0, -27, -9, 0, 47, 2, 0, 0, -3, 0, -64, 27, 0, -14, 12, 0, -40, 18, 0, -18, 0, 0, 36, 20, 0, 25, -15, 0, 55, 0, 0, 6, -33, 0, 14, -8, 0, -6, 36, 0, -4, -12, 0, -12, 12, 0, 0, -8, 0, 8, -15, 0, -9, 4, 0, -27, -24, 0, 38, 0, 0, -3, -24, 0, -8, 24, 0, 3, -36, 0, -59, -18, 0, 14, 12, 0, -36, 0, 0, -12, 0, 0, -20, 4, 0, 0, -42, 0, 10, -6, 0, -24, -54, 0, 2, 38, 0, -17, 0, 0, -16, 18, 0, 3, -57, 0, -54, -27, 0, 7, -6, 0, 2, -6, 0, 3, 24, 0, 27, -10, 0, 36, -57, 0, 0, 2, 0, -18, 36, 0, 36, 0, 0, -3, -12, 0, 90, 0, 0, -42, 6, 0, -23, -35, 0, -10, 30, 0, 0, 17, 0, 6, -15, 0, 62, -32, 0, -2, -12, 0, -54, 24, 0, 0, -36, 0, -24, -34, 0, 16, 39, 0, -55, -3, 0, 42, 0, 0, -32, -28, 0, 15, 0, 0, -18, 6, 0, 18, 60, 0, -19, 29, 0, -19, 9, 0, 0, 4, 0, 0, -9, 0, 0, -25, 0, 8, -54, 0, -16, -3, 0, 21, 30, 0, 28, 0, 0, 18, 18, 0, -20, 3, 0, 42, -21, 0, -36, -4, 0, -6, -30, 0, -40, 0, 0, 0, -6, 0, -7, 36, 0, 0, 42, 0, 35, 20, 0, 39, -21, 0, 0, -45, 0, 6, 0, 0, 90, 6, 0, -21, -24, 0, 55, 14, 0, 10, -36, 0, 32, -3, 0, 6, 39, 0, 50, 36, 0, 6, 12, 0, 0, -42, 0, 24, 0, 0, 54, 19, 0, -22, 0, 0, -5, 0, 0, 42, 75, 0, 72, -1, 0, 0, -42, 0, -36, 15, 0, 36, 18, 0, -33, -18, 0, -13, -6, 0, 9, 10, 0, 0, 9, 0, 14, 44, 0, 15, 24, 0, -14, -3, 0, 12, 0, 0, -7, 0, 0, 10, 21, 0, 4, -4, 0, 9, 48, 0, 72, -4, 0, 3, -24, 0, 0, 6, 0, -3, 42, 0, 0, 44, 0, 0, 36, 0, -20, -18, 0, 30, -57, 0, 8, 0, 0, -9, -24, 0, -18, 18, 0, 36, 54, 0, -45, 4, 0, -15, -51, 0, 8, 16, 0, 24, -12, 0, 14, 1, 0, 0, -30, 0, 56, 21, 0, 0, 6, 0, -18, -22, 0, 17, 0, 0, 40, 6, 0, -42, 48, 0, -22, -16, 0, 6, -12, 0, -10, -9, 0, -12, 60, 0, -14, -9, 0, 32, 18, 0, 0, 0, 0, 9, -39, 0, -16, -41, 0, -6, -30, 0, -18, 0, 0, 51, -36, 0, 0, -2, 0, -20, 12, 0, 30, -6, 0, -48, 60, 0, 32, 2, 0, -12, 12, 0, -34, -24, 0, 0, 48, 0, 54, -31, 0, -9, -84, 0, -49, 5, 0, 18, 0, 0, 16, 20, 0, 1, -24, 0, 18, 21, 0, -12, 12, 0, -8, 0, 0, 0, -57, 0, 43, 6, 0, 12, 57, 0, 0, 32, 0, -9, 6, 0, -14, 24, 0, -6, -36, 0, -9, 0, 0, -20, -12, 0, 20, 7, 0, 39, 54, 0, 76, 0, 0, 4, 72, 0, -14, 12, 0, 21, 30, 0, 17, -18, 0, 0, 75, 0, 0, 3, 0, 18, -63, 0, -52, 2, 0, 6, 0, 0, -8, 6, 0, 60, -18, 0, 0, -20, 0, -23, -9, 0, -9, 18, 0, -6, 45, 0, 18, 31, 0, -4, 0, 0, 0, 12, 0, 0, 30, 0, -65, -2, 0, -9, 51, 0, -1, 0, 0, 0, 21, 0, 58, 18, 0, -6, 30, 0, -56, -12, 0, -24, 42, 0, -5, -7, 0, -8, -66, 0, 10, 22, 0, 0, 36, 0, -16, 2, 0, 9, 12, 0, -28, 0, 0, 12, 0, 0, 45, -10, 0, 8, -18, 0, -72, -9, 0, -48, -39, 0, 0, 40, 0, 30, 6, 0, 4, 18, 0, 36, 12, 0, 0, 45, 0, 29, 6, 0, -9, 5, 0, 24, -12, 0, 32, 0, 0, -2, 30, 0, 16, -12, 0, 3, 0, 0, -53, -22, 0, -19, 0, 0, 59, 9, 0, -36, 60, 0, 18, -2, 0, 0, -48, 0, -18, 12, 0, 12, 0, 0, -31, 7, 0, -54, 0, 0, 79, 8, 0, 12, -51, 0, -8, -27, 0, 1, 60, 0, 54, -18, 0, -30, -12, 0, -47, 0, 0, 18, -45, 0, 0, 6, 0, 48, 12, 0, 12, -26, 0, 12, 48, 0, 0, 0, 0, 6, 60, 0, 28, -9, 0, 1, -60, 0, -77, 14, 0, -15, 51, 0, 18, -29, 0, 18, 30, 0, -2, -21, 0, 0, 30, 0, 57, 8, 0, 13, 0, 0, -27, -6, 0, 12, 0, 0, -26, -12, 0, 18, 96, 0, 22, 27, 0, 0, -18, 0, -61, -11, 0, -14, 3, 0, 64, -18, 0, 33, 18, 0, 0, 36, 0, -12, 0, 0, -40, 30, 0, -51, -60, 0, 25, 0, 0, -8, -42, 0, 45, 0, 0, -36, -45, 0, -18, -36, 0, -30, -60, 0, -72, 6, 0, -6, -6, 0, 0, 6, 0, 0, -12, 0, -36, -10, 0, 15, -69, 0, -10, 23, 0, -2, 0, 0, 8, 3, 0, -27, 84, 0, 63, 4, 0, 16, -66, 0, 17, -8, 0, 42, 0, 0, 8, -54, 0, 18, 18, 0, 0, -39, 0, -6, 24, 0, -27, -27, 0, 0, 39, 0, 32, 0, 0, 60, 63, 0, 14, -47, 0, -5, -60, 0, -26, 0, 0, 21, 48, 0, -22, 28, 0, -14, 27, 0, -25, -3, 0, 0, 51, 0, 36, 0, 0, 0, 36, 0, -22, 18, 0, -18, 0, 0, -47, 11, 0, 9, -60, 0, -17, 18, 0, -6, -60, 0, 86, 18, 0, -7, 18, 0, 18, -15, 0, -15, -24, 0, 0, -58, 0, 7, -69, 0, -108, -1, 0, 24, -6, 0, -16, 0, 0, 12, 0, 0, 0, -12, 0, 30, 84, 0, 36, 26, 0, -18, 9, 0, 4, 2, 0, 0, -12, 0, 70, 31, 0, 0, 30, 0, 68, -36, 0, -3, -72, 0, -70, -18, 0, -16, 0, 0, -36, 15, 0, -6, -39, 0, -36, 26, 0, -30, -24, 0, 60, 0, 0, 66, 12, 0, 46, 17, 0, 13, -42, 0, 0, 27, 0, 9, 15, 0, 0, -47, 0, -2, -30, 0, -28, 0, 0, 3, 24, 0, 67, 64, 0, -27, 27, 0, -11, 14, 0, -12, -12, 0, 16, 40, 0, -18, 24, 0, 54, 18, 0, 0, 0, 0, 47, -36, 0, -20, 87, 0, -27, -25, 0, 15, 0, 0, 54, -55, 0, 0, 6, 0, -74, -6, 0, 33, -24, 0, -36, -14, 0, 8, 21, 0, -19, 6, 0, -36, -57, 0, 0, 4, 0, 12, 0, 0, 64, 12, 0, -12, 48, 0, -11, 0, 0, 8, -63, 0, 36, -8, 0, 15, -3, 0, 46, 9, 0, -4, -72, 0, 0, 27, 0, 24, 6, 0, 18, -38, 0, 0, 6, 0, 17, 3, 0, 24, 24, 0, -54, 8, 0, -24, 0, 0, 16, -3, 0, 36, 54, 0, -16, 59, 0, 18, 0, 0, -35, -14, 0, -12, 9, 0, -2, 36, 0, 0, -78, 0, 0, 12, 0, 0, 90, 0, -41, 20, 0, -4, 3, 0, -61, 0, 0, 42, -48, 0, 46, -10, 0, 6, 48, 0, 4, 24, 0, 54, -36, 0, -63, -2, 0, -38, 93, 0, 8, 17, 0, 0, 39, 0, 10, 16, 0, -18, 66, 0, 18, -3, 0, 57, 0, 0, 0, 54, 0, 27, 33, 0, 81, -7, 0, 6, 36, 0, 74, -2, 0, 6, -42, 0, 82, -3, 0, -24, 42, 0, 0, -27, 0, 10, -54, 0, -22, -36, 0, 57, 0, 0, 90, 0, 0, -2, -24, 0, 40, 18, 0, -36, 6, 0, -11, -36, 0, 0, 66, 0, 89, 3, 0, 12, 15, 0, 14, -90, 0, 0, -18, 0, 18, 42, 0, -6, 30, 0, 29, 23, 0, 35, 0, 0, 18, 10, 0, -30, 63, 0, 14, 0, 0, -17, 78, 0, -72, -6, 0, 15, 42, 0, 4, -62, 0, 32, -3, 0, 0, 2, 0, 12, 48, 0, 64, 54, 0, -24, -24, 0, 10, 0, 0, 36, -36, 0, -40, 24, 0, 34, 24, 0, -117, -16, 0, -39, 15, 0, -54, 55, 0, 3, 0, 0, 74, -42, 0, 0, 6, 0, 62, 32, 0, 28, 78, 0, 28, -15, 0, 0, 0, 0, 0, 18, 0, -6, -30, 0, -54, -18, 0, -60, -42, 0, 36, 19, 0, -29, -48, 0, -29, 19, 0, -9, -12, 0, 0, 0, 0, -4, 18, 0, 54, 0, 0, 9, 42, 0, -7, 0, 0, 25, 12, 0, -15, -8, 0, 54, -69, 0, 0, 16, 0, 3, -120, 0, 20, -21, 0, -30, 30, 0, -45, -28, 0, 0, -33, 0, -31, -18, 0, -18, 21, 0, -52, 20, 0, -3, 0, 0, 54, -42, 0, 21, 0, 0, 17, 36, 0, 4, 15, 0, -16, 6, 0, 30, -96, 0, 108, 40, 0, 0, -54, 0, 0, 0, 0, 6, -54, 0, -11, 7, 0, -36, 54, 0, 36, 0, 0, -42, -12, 0, -108, -35, 0, -20, 54, 0, 32, -39, 0, 21, -48, 0, -82, 0, 0, 45, -21, 0, -80, -6, 0, 0, 0, 0, -90, -90, 0, -6, 30, 0, 0, 21, 0, 24, 0, 0, 8, -55, 0, -14, 39, 0, 88, -10, 0, 36, -30, 0, -20, -32, 0, 3, -48, 0, 4, -6, 0, -39, 54, 0, 0, -50, 0, -36, 0, 0, 28, -6, 0, -12, -36, 0, -4, 0, 0, 42, -24, 0, -74, -24, 0, 0, -12, 0, -17, -54, 0, -19, -30, 0, 54, 22, 0, 0, -36, 0, -14, 5, 0, 0, -60, 0, 26, -42, 0, -75, -12, 0, 14, -72, 0, 1, 0, 0, 16, 0, 0, 42, 21, 0, -8, 36, 0, -15, 30, 0, -22, -36, 0, -18, 24, 0, 0, 33, 0, 18, -33, 0, 0, 13, 0, 6, 84, 0, 4, -9, 0, -10, 90, 0, 36, 0, 0, -9, 90, 0, 0, -14, 0, -44, 24, 0, 40, -15, 0, -24, 0, 0, 72, 14, 0, 3, -24, 0, -20, -12, 0, 0, -12, 0, 81, 7, 0, 0, 45, 0, -43, -10, 0, -21, 0, 0, -26, -4, 0, 4, -12, 0, 4, -9, 0, -48, 12, 0, 28, -72, 0, 4, -6, 0, -9, -3, 0, 24, -21, 0, 0, 0, 0, -6, 24, 0, 36, 3, 0, -42, -6, 0, -1, 0, 0, -44, -87, 0, 0, 0, 0, -36, -81, 0, 36, 20, 0, 18, 6, 0, 44, -30, 0, 57, -12, 0, 41, -8, 0, 0, 63, 0, -23, 9, 0, 24, 48, 0, 34, 18, 0, -18, 0, 0, -18, -36, 0, -54, 18, 0, 140, 45, 0, -4, -114, 0, 8, 15, 0, 51, -72, 0, -90, -8, 0, -16, -54, 0, 0, -24, 0, 12, 6, 0, -9, -14, 0, -1, 66, 0, 0, 0, 0, 30, 81, 0, -2, -56, 0, -21, -42, 0, -16, 0, 0, -6, 60, 0, -18, 18, 0, 22, -12, 0, -9, -17, 0, 0, -57, 0, 0, -40, 0, -6, 30, 0, -8, 42, 0, -48, 0, 0, 43, 22, 0, 16, 57, 0, -54, -6, 0, 12, 39, 0, 54, 10, 0, 9, 54, 0, -56, 12, 0, -60, 0, 0, 0, 14, 0, 9, -75, 0, 8, -32, 0, -18, 24, 0, -48, 0, 0, 0, -42, 0, 126, -9, 0, 39, 12, 0, 49, 16, 0, 41, 105, 0, -5, 6, 0, 30, 3, 0, 90, 18, 0, 0, 18, 0, -58, -51, 0, 36, -90, 0, -8, 0, 0, 2, 0, 0, 29, 20, 0, -12, 96, 0, 4, -30, 0, 6, -90, 0, 0, 48, 0, -60, -24, 0, 55, -32, 0, -2, 0, 0, 0, 12, 0, -12, -12, 0, 16, 34, 0, 24, 102, 0, 44, 0, 0, -48, 6, 0, -19, -54, 0, 31, 0, 0, -56, 9, 0, 84, 3, 0, -126, 49, 0, -5, 24, 0, -72, -18, 0, 0, 84, 0, 40, -16, 0, -20, 12, 0, 54, -1, 0, 24, 0, 0, 76, -18, 0, -21, -42, 0, -54, 12, 0, -12, 6, 0, -55, 8, 0, 0, -72, 0, -108, 0, 0, 57, -15, 0, 0, -43, 0, -6, 60, 0, -70, -12, 0, -57, -18, 0, 0, 0, 0, -32, -84, 0, 36, 9, 0, -6, 75, 0, 18, 14, 0, -24, 12, 0, 86, 6, 0, 36, 36, 0, 2, 9, 0, 0, 12, 0, -28, 20, 0, 12, 51, 0, 50, -20, 0, -7, 0, 0, -2, -39, 0, -54, -42, 0, 20, -76, 0, 0, -24, 0, 1, -4, 0, -72, -27, 0, -126, 14, 0, -12, 84, 0, 0, -21, 0, -30, 12, 0, -5, -17, 0, 18, 45, 0, 18, 0, 0, -75, -21, 0, -44, 0, 0, -3, -72, 0, 0, -18, 0, 63, -48, 0, 13, 52, 0, -2, -108, 0, 0, -6, 0, 0, 57, 0, 14, 8, 0, -6, 72, 0, 20, -60, 0, 18, 0, 0, -117, 0, 0, 20, 27, 0, -32, 23, 0, 9, 60, 0, -36], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "54.2.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [0], [1], [3], [0], [1], [-1], [0], [-3], [-3], [0], [0], [-1], [0], [1], [0], [0], [-2], [3], [0], [3], [6], [0], [4], [0], [0], [1], [-6], [0], [-5], [-1], [0], [0], [3], [0], [-2], [2], [0], [-3], [-6], [0], [-10], [-3], [0], [-6], [6], [0], [-6], [-4], [0], [0], [-9], [0], [-9], [-1], [0], [6], [12], [0], [8], [5], [0], [1], [0], [0], [-14], [0], [0], [-3], [0], [0], [7], [2], [0], [-2], [-3], [0], [8], [3], [0], [6], [-3], [0], [0], [10], [0], [3], [-18], [0], [0], [6], [0], [-6], [-6], [0], [1], [6], [0], [4]]}