# Stored data for newform 9450.2.a.g, downloaded from the LMFDB on 23 April 2024. {"label": "9450.2.a.g", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797786858, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2289536554644700044, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[11, [3, 1]], [13, [-1, 1]], [17, [0, 1]], [19, [4, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}+q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 37800, "fricke_eigenval": 1, "atkin_lehner_string": "++++", "analytic_conductor": 75.45862991010996, "hecke_ring_index": 1, "level_radical": 210, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [9450, 1, [9101, 6427, 6751], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "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": "1.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.974", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/g"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 1], [7, 1]], "trace_display": [-1, 0, 0, -1], "traces": [0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 0, -3, 0, 1, 1, 0, 1, 0, 0, -4, 0, 0, 3, 3, 0, 0, -1, 0, -1, 6, 0, -4, -1, 0, 0, 0, 0, 1, 4, 0, 0, 6, 0, -8, -3, 0, -3, 3, 0, 1, 0, 0, 1, 12, 0, 0, 1, 0, -6, 3, 0, -7, 4, 0, 1, 0, 0, 4, 0, 0, 0, -3, 0, 10, -1, 0, -4, 3, 0, -10, 0, 0, -6, -12, 0, 0, 8, 0, 3, 6, 0, -1, 3, 0, -3, 0, 0, 13, -1, 0, 0, -12, 0, 10, -1, 0, -12, -3, 0, -10, 0, 0, -1, 0, 0, 0, 6, 0, -3, 0, 0, -2, 7, 0, -4, 0, 0, -8, -1, 0, 0, -9, 0, 4, -4, 0, 0, 18, 0, 2, 0, 0, 3, -3, 0, 0, -10, 0, 1, 0, 0, 2, 4, 0, -3, 0, 0, 10, 10, 0, 0, -3, 0, -14, 6, 0, 12, 3, 0, -12, 0, 0, -8, 6, 0, 0, -3, 0, -6, -3, 0, -25, 1, 0, -3, 0, 0, 0, 3, 0, 0, 0, 0, -14, -13, 0, 1, -12, 0, -10, 0, 0, 12, -6, 0, 0, -10, 0, 1, 12, 0, 2, 12, 0, 3, 0, 0, 4, 10, 0, 0, 0, 0, -8, 1, 0, 0, -3, 0, -13, 0, 0, -6, -24, 0, 0, 3, 0, 0, 15, 0, 11, 2, 0, -7, 0, 0, -4, 4, 0, 0, -9, 0, -9, 8, 0, 1, 12, 0, -1, 0, 0, 9, -9, 0, 0, -4, 0, 4, 6, 0, 2, 0, 0, -18, 0, 0, 10, -2, 0, 0, -12, 0, -14, -3, 0, 3, -6, 0, -17, 0, 0, 10, -6, 0, 0, -1, 0, 0, 3, 0, 8, -2, 0, -4, 0, 0, -2, 3, 0, 0, 3, 0, -26, -10, 0, -10, 30, 0, -18, 0, 0, 3, 0, 0, 0, 14, 0, -6, -3, 0, -10, -12, 0, -3, 0, 0, 22, 12, 0, 0, 12, 0, -1, 8, 0, -6, -12, 0, -10, 0, 0, 3, -6, 0, 0, 6, 0, 3, -9, 0, -3, 25, 0, -1, 0, 0, 10, 3, 0, 0, -12, 0, -26, 0, 0, -3, 6, 0, 8, 0, 0, 0, 15, 0, 0, 14, 0, 13, 12, 0, 0, -1, 0, 12, 0, 0, 7, 10, 0, 0, -12, 0, -4, -12, 0, 6, -3, 0, 11, 0, 0, 10, -3, 0, 0, -1, 0, -12, 12, 0, -7, -2, 0, -12, 0, 0, 7, -3, 0, 0, -9, 0, 7, -4, 0, -10, -12, 0, -40, 0, 0, 0, 15, 0, 0, 8, 0, -1, 24, 0, -18, 0, 0, 3, 0, 0, -29, 13, 0, 0, -30, 0, -14, 6, 0, 24, -27, 0, -4, 0, 0, -3, 24, 0, 0, 0, 0, -15, 24, 0, 1, -11, 0, -2, 0, 0, -2, 7, 0, 0, 12, 0, 0, 4, 0, -4, 3, 0, 8, 0, 0, 9, -24, 0, 0, 9, 0, -8, -24, 0, -10, -1, 0, -12, 0, 0, -9, 1, 0, 0, 12, 0, 34, -9, 0, 9, 0, 0, -14, 0, 0, 4, 6, 0, 0, -4, 0, -6, -3, 0, -43, -2, 0, 0, 0, 0, 46, 18, 0, 0, -24, 0, 10, -10, 0, 2, -24, 0, -8, 0, 0, 12, -33, 0, 0, 14, 0, 3, 18, 0, 32, -3, 0, 6, 0, 0, 43, 17, 0, 0, 12, 0, -36, -10, 0, 6, 36, 0, 16, 0, 0, 1, -30, 0, 0, 0, 0, -3, -24, 0, 5, -8, 0, 2, 0, 0, -8, 4, 0, 0, 3, 0, -11, 2, 0, -3, 12, 0, -28, 0, 0, -3, -6, 0, 0, 26, 0, 10, 0, 0, -4, 10, 0, -30, 0, 0, 1, 18, 0, 0, -18, 0, -32, -3, 0, 0, -21, 0, -9, 0, 0, -14, -36, 0, 0, 6, 0, 3, 36, 0, 29, 10, 0, 12, 0, 0, 18, 3, 0, 0, 21, 0, 1, -22, 0, -12, -12, 0, -13, 0, 0, -12, -15, 0, 0, 1, 0, -8, 12, 0, 2, 6, 0, 12, 0, 0, 0, 10, 0, 0, 48, 0, -4, -3, 0, 6, 12, 0, 41, 0, 0, -6, -12, 0, 0, -3, 0, 9, -39, 0, -10, 3, 0, -25, 0, 0, 16, 1, 0, 0, 0, 0, -11, -10, 0, -3, -12, 0, -46, 0, 0, 12, 3, 0, 0, 26, 0, 0, 3, 0, 26, 3, 0, -6, 0, 0, -5, -8, 0, 0, -54, 0, 10, 0, 0, -15, 3, 0, 14, 0, 0, -14, 6, 0, 0, -13, 0, -12, -24, 0, 9, 0, 0, 1, 0, 0, 28, -12, 0, 0, 0, 0, -7, -7, 0, -10, -18, 0, 0, 0, 0, 12, -30, 0, 0, 4, 0, 12, -12, 0, -16, -6, 0, 3, 0, 0, 32, -11, 0, 0, -18, 0, 34, -10, 0, 3, -33, 0, -25, 0, 0, 1, 0, 0, 0, 12, 0, -12, -51, 0, 7, 7, 0, 2, 0, 0, 2, 12, 0, 0, 3, 0, -17, -7, 0, 3, 36, 0, 14, 0, 0, 9, 0, 0, 0, -7, 0, 4, 30, 0, 4, 10, 0, 12, 0, 0, 13, 40, 0, 0, -12, 0, -14, 0, 0, -15, -27, 0, 8, 0, 0, -8, -12, 0, 0, 1, 0, -24, -24, 0, 0, 18, 0, 0, 0, 0, -44, -3, 0, 0, -9, 0, 36, 29, 0, -13, 9, 0, 38, 0, 0, 30, -3, 0, 0, 14, 0, -6, 24, 0, -4, -24, 0, 27, 0, 0, -29, 4, 0, 0, 0, 0, 18, 3, 0, -24, -36, 0, 10, 0, 0, 0, -24, 0, 0, 15, 0, -24, -18, 0, -15, -1, 0, 11, 0, 0, -8, 2, 0, 0, 27, 0, -2, 2, 0, -7, -54, 0, -18, 0, 0, -12, 39, 0, 0, 0, 0, -4, -24, 0, 2, 4, 0, -3, 0, 0, -17, -8, 0, 0, 3, 0, 0, -9, 0, 24, -48, 0, -43, 0, 0, -9, -24, 0, 0, 8, 0, 24, 36, 0, -34, 10, 0, 1, 0, 0, -10, 12, 0, 0, 15, 0, 19, 9, 0, -1, 0, 0, -10, 0, 0, -12, 0, 0, 0, -34, 0, 9, -6, 0, -28, -9, 0, 0, 0, 0, -2, 14, 0, 0, -24, 0, -26, -4, 0, -6, -39, 0, -55, 0, 0, 4, 6, 0, 0, 6, 0, 3, -12, 0, 9, 43, 0, 2, 0, 0, -8, 0, 0, 0, 33, 0, 31, -46, 0, -18, 48, 0, -10, 0, 0, 24, -24, 0, 0, -10, 0, 10, 12, 0, 36, -2, 0, 24, 0, 0, -38, 8, 0, 0, -12, 0, 46, -12, 0, 33, 3, 0, 5, 0, 0, -14, -30, 0, 0, -3, 0, -18, 0, 0, 14, -32, 0, 3, 0, 0, -4, -6, 0, 0, 9, 0, 49, -43, 0, -17, 6, 0, 28, 0, 0, -12, 9, 0, 0, 36, 0, 10, -3, 0, -52, -6, 0, -36, 0, 0, 9, -16, 0, 0, 0, 0, 12, -1, 0, 30, -57, 0, 36, 0, 0, 0, -6, 0, 0, 3, 0, 24, 30, 0, 23, -5, 0, 8, 0, 0, 0, -2, 0, 0, -6, 0, -53, 8, 0, -4, 36, 0, 36, 0, 0, -3, -48, 0, 0, 11, 0, -2, 60, 0, -46, 3, 0, -12, 0, 0, -23, 28, 0, 0, 0, 0, 0, 3, 0, 6, -48, 0, -37, 0, 0, -26, 3, 0, 0, -10, 0, 0, -27, 0, 13, 4, 0, -10, 0, 0, 25, 30, 0, 0, -24, 0, -16, -1, 0, -18, -30, 0, 44, 0, 0, 18, -51, 0, 0, 32, 0, 3, 66, 0, 8, 0, 0, 21, 0, 0, -62, 9, 0, 0, -18, 0, -62, 14, 0, 36, 51, 0, 0, 0, 0, -6, -12, 0, 0, -3, 0, -36, 63, 0, 38, -29, 0, -10, 0, 0, -8, -12, 0, 0, 39, 0, 32, -18, 0, -3, 0, 0, 10, 0, 0, -21, 0, 0, 0, -1, 0, 22, 12, 0, 14, 12, 0, 12, 0, 0, 9, 13, 0, 0, 18, 0, 18, 12, 0, 15, -63, 0, -36, 0, 0, -1, 6, 0, 0, 8, 0, -12, 12, 0, -67, -2, 0, -6, 0, 0, -40, -12, 0, 0, -3, 0, 10, 0, 0, -10, 24, 0, 44, 0, 0, -48, -21, 0, 0, 4, 0, 3, -30, 0, 0, -6, 0, -12, 0, 0, -10, -41, 0, 0, 6, 0, -38, 6, 0, 12, -3, 0, 59, 0, 0, 3, 36, 0, 0, -9, 0, 39, 9, 0, 27, 10, 0, -3, 0, 0, -8, 25, 0, 0, -36, 0, -5, -16, 0, -1, -12, 0, 20, 0, 0, 0, -12, 0, 0, 11, 0, 10, 0, 0, -4, 3, 0, 12, 0, 0, -2, 46, 0, 0, -30, 0, 40, -12, 0, -3, 21, 0, 23, 0, 0, -26, 12, 0, 0, 0, 0, -3, -72, 0, 40, -26, 0, -3, 0, 0, -54, 6, 0, 0, 69, 0, 0, 5, 0, 8, 6, 0, -4, 0, 0, 54, 24, 0, 0, -10, 0, 0, -6, 0, 20, 15, 0, -3, 0, 0, 72, -14, 0, 0, 12, 0, 70, 14, 0, -6, 0, 0, 11, 0, 0, 13, 42, 0, 0, 12, 0, 24, -57, 0, 8, -9, 0, 0, 0, 0, 52, -1, 0, 0, 45, 0, -2, -28, 0, 12, 48, 0, 50, 0, 0, 0, 45, 0, 0, 7, 0, 7, 3, 0, -8, 10, 0, 18, 0, 0, -41, 0, 0, 0, -30, 0, 13, -12, 0, 30, 9, 0, 35, 0, 0, -4, 42, 0, 0, -12, 0, 12, 15, 0, 38, 16, 0, 6, 0, 0, -32, -3, 0, 0, 24, 0, -9, -32, 0, 11, 48, 0, 0, 0, 0, 18, -48, 0, 0, -34, 0, 10, 0, 0, -8, -3, 0, 33, 0, 0, 7, 25, 0, 0, -6, 0, 52, -1, 0, 0, -48, 0, 26, 0, 0, -12, -15, 0, 0, 12, 0, 51, 30, 0, -5, -7, 0, -7, 0, 0, -11, -2, 0, 0, -24, 0, 7, -2, 0, -12, 24, 0, 14, 0, 0, -3, -9, 0, 0, 17, 0, 7, 30, 0, 18, -3, 0, -36, 0, 0, 0, -14, 0, 0, -60, 0, 4, -9, 0, 0, -30, 0, 4, 0, 0, 7, 36, 0, 0, -4, 0, -30, 3, 0, 41, -4, 0, -10, 0, 0, -2, -12, 0, 0, 0, 0, -23, -13, 0, -40, 9, 0, 68, 0, 0, 12, -48, 0, 0, 14, 0, 0, -42, 0, 9, 15, 0, 27, 0, 0, -23, -8, 0, 0, 18, 0, 22, 8, 0, 12, 12, 0, -46, 0, 0, -1, 42, 0, 0, 24, 0, 24, -12, 0, -25, 0, 0, -18, 0, 0, 2, 0, 0, 0, -63, 0, 1, 44, 0, 3, -30, 0, 0, 0, 0, 9, -21, 0, 0, -36, 0, -29, -12, 0, -16, 13, 0, -9, 0, 0, -9, -38, 0, 0, 9, 0, -52, -30, 0, 3, 63, 0, 21, 0, 0, -14, 0, 0, 0, 6, 0, -24, 36, 0, -55, 4, 0, 24, 0, 0, 4, -27, 0, 0, -45, 0, 31, 29, 0, -4, 24, 0, -34, 0, 0, 0, -6, 0, 0, -18, 0, -3, -84, 0, 28, 24, 0, 36, 0, 0, -2, -10, 0, 0, -84, 0, -18, 0, 0, 24, -12, 0, -36, 0, 0, -15, -18, 0, 0, 24, 0, 18, 48, 0, 0, 15, 0, 1, 0, 0, 18, -11, 0, 0, 27, 0, -2, 8, 0, -2, 0, 0, -10, 0, 0, -27, 24, 0, 0, 2, 0, -2, 60, 0, -46, 7, 0, 54, 0, 0, -40, 18, 0, 0, 12, 0, 2, 12, 0, -39, 12, 0, 9, 0, 0, 0, -72, 0, 0, 4, 0, 24, -36, 0, 14, -2, 0, -4, 0, 0, -8, 3, 0, 0, 75, 0, 67, 17, 0, 8, 6, 0, 86, 0, 0, -3, -3, 0, 0, 0, 0, 9, 6, 0, 2, -24, 0, 48, 0, 0, -53, 43, 0, 0, -24, 0, 17, 9, 0, 24, -45, 0, 74, 0, 0, -8, 12, 0, 0, -24, 0, -36, -9, 0, 10, 34, 0, -10, 0, 0, 18, -1, 0, 0, 6, 0, -74, 10, 0, -12, 0, 0, -18, 0, 0, -15, 48, 0, 0, -19, 0, -9, -36, 0, 40, 1, 0, 0, 0, 0, -16, 10, 0, 0, -12, 0, 70, 12, 0, 0, 24, 0, 83, 0, 0, 34, -3, 0, 0, -9, 0, 6, 24, 0, 0, 28, 0, 9, 0, 0, -8, 0, 0, 0, 45, 0, -62, 2, 0, -14, 60, 0, -14, 0, 0, 24, 42, 0, 0, 26, 0, 4, -6, 0, 50, 6, 0, 39, 0, 0, -59, 55, 0, 0, 36, 0, 34, -4, 0, -6, 0, 0, 2, 0, 0, -6, 24, 0, 0, -3, 0, 12, 0, 0, 35, -9, 0, -43, 0, 0, 36, -2, 0, 0, 3, 0, 72, 8, 0, 0, -3, 0, 74, 0, 0, -33, 3, 0, 0, -31, 0, 46, 30, 0, 26, 18, 0, -48, 0, 0, -25, 10, 0, 0, 12, 0, -2, -24, 0, 24, 3, 0, -38, 0, 0, 10, -18, 0, 0, -10, 0, -12, -30, 0, 53, -36, 0, 2, 0, 0, 0, -24, 0, 0, 39, 0, 18, 38, 0, -8, 36, 0, 44, 0, 0, 12, -75, 0, 0, -46, 0, 12, 6, 0, 56, -33, 0, -3, 0, 0, -7, -5, 0, 0, 0, 0, -40, 14, 0, 30, -12, 0, 50, 0, 0, 3, -30, 0, 0, 18, 0, 0, -96, 0, 59, -14, 0, 32, 0, 0, 34, -3, 0, 0, -60, 0, 37, 4, 0, 6, 30, 0, 8, 0, 0, -9, 3, 0, 0, -49, 0, 43, 42, 0, -64, 17, 0, -6, 0, 0, 10, -28, 0, 0, -6, 0, -36, 12, 0, -9, -3, 0, 0, 0, 0, -36, 96, 0, 0, -10, 0, 3, 84, 0, -58, 52, 0, 6, 0, 0, -38, 36, 0, 0, -27, 0, -25, -9, 0, 16, -12, 0, -22, 0, 0, 0, 0, 0, 0, -12, 0, 1, 30, 0, 50, -30, 0, 57, 0, 0, 43, -36, 0, 0, -36, 0, 58, 0, 0, 6, -12, 0, 86, 0, 0, -3, 48, 0, 0, -24, 0, -30, -57, 0, 1, -23, 0, 5, 0, 0, -72, -8, 0, 0, -48, 0, 32, 0, 0, 2, 60, 0, 18, 0, 0, 6, 15, 0, 0, 53, 0, -8, 12, 0, 0, 4, 0, -36, 0, 0, 13, -36, 0, 0, 0, 0, 10, 3, 0, 48, -3, 0, 40, 0, 0, -11, 24, 0, 0, 2, 0, -60, 39, 0, -9, 46, 0, -3, 0, 0, 88, 12, 0, 0, 6, 0, -62, 23, 0, -28, 72, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -3, 36, 0, 36, -6, 0, 48, 0, 0, 9, 37, 0, 0, -42, 0, -38, 26, 0, -3, -30, 0, -14, 0, 0, 10, 9, 0, 0, 0, 0, 27, 39, 0, -37, -13, 0, -4, 0, 0, 3, 10, 0, 0, 0, 0, 0, -25, 0, -30, -24, 0, -70, 0, 0, 24, 3, 0, 0, 16, 0, 1, 42, 0, -4, 18, 0, 30, 0, 0, 34, -44, 0, 0, -12, 0, 72, -18, 0, 51, 0, 0, -10, 0, 0, -32, 48, 0, 0, -3, 0, -66, -60, 0, 36, -8, 0, 0, 0, 0, -10, -21, 0, 0, 33, 0, 82, 62, 0, -9, 12, 0, 0, 0, 0, 18, -72, 0, 0, 62, 0, -14, 48, 0, 26, -36, 0, -51, 0, 0, -14, 0, 0, 0, -60, 0, 56, 6, 0, 12, -3, 0, -45, 0, 0, 3, 18, 0, 0, 36, 0, -63, -6, 0, -8, -38, 0, 29, 0, 0, -2, 10, 0, 0, -33, 0, -8, 8, 0, 12, 18, 0, 14, 0, 0, -39, 24, 0, 0, -32, 0, 18, 0, 0, -52, 3, 0, 0, 0, 0, -59, -10, 0, 0, -15, 0, -56, 21, 0, 0, -72, 0, 26, 0, 0, 1, 12, 0, 0, -22, 0, -12, -36, 0, 10, -14, 0, -12, 0, 0, -14, -12, 0, 0, 72, 0, 10, -9, 0, -13, 12, 0, -40, 0, 0, -18, -12, 0, 0, -18, 0, -12, -54, 0, -16, -15, 0, 63, 0, 0, 0, 36, 0, 0, 96, 0, 2, 1, 0, -6, 24, 0, 41, 0, 0, -8, 42, 0, 0, 12, 0, -12, -24, 0, 27, 67, 0, 2, 0, 0, -32, 6, 0, 0, 0, 0, 9, 40, 0, 12, 12, 0, -7, 0, 0, 3, -6, 0, 0, -10, 0, 0, 84, 0, 68, 10, 0, -24, 0, 0, 103, -44, 0, 0, 54, 0, 4, 48, 0, 21, 12, 0, 91, 0, 0, -4, 78, 0, 0, -3, 0, 30, 27, 0, 4, 0, 0, 6, 0, 0, -36, 12, 0, 0, 0, 0, 91, 10, 0, 41, -6, 0, 0, 0, 0, -6, -69, 0, 0, 38, 0, -6, 3, 0, -64, -12, 0, 3, 0, 0, -50, -59, 0, 0, -42, 0, -11, -3, 0, -36, -21, 0, -8, 0, 0, 9, 0, 0, 0, -39, 0, -9, -84, 0, -32, -27, 0, -10, 0, 0, -56, 3, 0, 0, 3, 0, 27, 8, 0, -25, 42, 0, -8, 0, 0, 36, 84, 0, 0, 5, 0, 16, 18, 0, -18, 1, 0, 12, 0, 0, 106, -20, 0, 0, -24, 0, -10, 0, 0, 12, 69, 0, -72, 0, 0, -11, -12, 0, 0, -10, 0, 0, 84, 0, 0, 4, 0, -3, 0, 0, 7, -12, 0, 0, -3, 0, -2, 2, 0, -46, 42, 0, -18, 0, 0, 30, -12, 0, 0, -40, 0, 12, 6, 0, 80, 3, 0, -21, 0, 0, -13, -23, 0, 0, -6, 0, -40, 26, 0, -12, 60, 0, -7, 0, 0, 0, 60, 0, 0, 3, 0, 72, -81, 0, -85, -40, 0, 26, 0, 0, -52, 3, 0, 0, 63, 0, -27, 54, 0, -6, 9, 0, 2, 0, 0, -69, -63, 0, 0, 0, 0, -5, -24, 0, -7, -8, 0, -6, 0, 0, -86, 4, 0, 0, 48, 0, 0, -54, 0, -24, -30, 0, -31, 0, 0, 10, 24, 0, 0, 0, 0, 6, 12, 0, -13, -20, 0, -15, 0, 0, -50, 3, 0, 0, -12, 0, 40, -72, 0, 14, 0, 0, -88, 0, 0, -12, -3, 0, 0, -70, 0, -14, -42, 0, 36, 6, 0, 0, 0, 0, 56, -11, 0, 0, -15, 0, -18, -13, 0, -42, 15, 0, 47, 0, 0, -12, 42, 0, 0, -24, 0, 57, -39, 0, -13, -8, 0, 9, 0, 0, 36, 0, 0, 0, 48, 0, 11, -52, 0, 1, 54, 0, -80, 0, 0, -45, -24, 0, 0, 2, 0, 28, 12, 0, 54, -12, 0, -48, 0, 0, 18, -50, 0, 0, -60, 0, 10, 0, 0, -45, 60, 0, 2, 0, 0, -7, -12, 0, 0, -7, 0, -3, 51, 0, 95, 8, 0, -10, 0, 0, -80, -18, 0, 0, 51, 0, -40, 41, 0, 0, 6, 0, 29, 0, 0, 30, 33, 0, 0, -13, 0, 12, 84, 0, 48, -30, 0, -9, 0, 0, 7, -35, 0, 0, -84, 0, 18, 4, 0, -42, 30, 0, -34, 0, 0, 12, -84, 0, 0, -12, 0, -15, -60, 0, 14, -38, 0, -16, 0, 0, 0, -6, 0, 0, 39, 0, -86, 32, 0, 3, 48, 0, 20, 0, 0, -24, -9, 0, 0, 9, 0, 32, 27, 0, -40, -11, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 4, -18, 0, 48, -24, 0, -9, 0, 0, 34, 6, 0, 0, -10, 0, 0, -57, 0, -25, 8, 0, 3, 0, 0, 16, -33, 0, 0, -24, 0, -89, -7, 0, -25, 12, 0, -4, 0, 0, 6, 81, 0, 0, -52, 0, 1, -48, 0, -70, 0, 0, 48, 0, 0, -9, -26, 0, 0, 12, 0, 76, 12, 0, 15, -72, 0, 0, 0, 0, -12, -24, 0, 0, -51, 0, -30, -105, 0, -70, 5, 0, 7, 0, 0, -1, 7, 0, 0, -60, 0, -59, 11, 0, 2, 6, 0, 40, 0, 0, 24, 0, 0, 0, -7, 0, 2, -66, 0, 26, 12, 0, -24, 0, 0, 80, -14, 0, 0, 12, 0, -72, 3, 0, 9, -27, 0, 2, 0, 0, -17, 54, 0, 0, -7, 0, -30, -9, 0, -9, -18, 0, 3, 0, 0, 0, 36, 0, 0, 30, 0, 85, 0, 0, 14, -12, 0, 100, 0, 0, 60, 78, 0, 0, -4, 0, 9, -24, 0, 0, 0, 0, 30, 0, 0, -107, -4, 0, 0, -36, 0, 34, -7, 0, -36, -111, 0, 5, 0, 0, 4, 6, 0, 0, 30, 0, -3, -3, 0, -50, -41, 0, 4, 0, 0, -90, 10, 0, 0, 84, 0, -8, 2, 0, 12, 6, 0, 8, 0, 0, 0, 0, 0, 0, 23, 0, 13, -12, 0, 38, 40, 0, -9, 0, 0, -29, -68, 0, 0, 24, 0, 2, -12, 0, 48, 45, 0, -82, 0, 0, -14, 30, 0, 0, 0, 0, 42, -93, 0, -10, -9, 0, -15, 0, 0, 88, -27, 0, 0, 48, 0, 0, 23, 0, 8, -60, 0, -4, 0, 0, -18, 24, 0, 0, -22, 0, -8, 96, 0, -100, -12, 0, -12, 0, 0, 10, 46, 0, 0, -108, 0, -92, 1, 0, -42, 0, 0, 13, 0, 0, -24, -48, 0, 0, -24, 0, 12, -21, 0, 10, 25, 0, 0, 0, 0, -80, 18, 0, 0, 30, 0, 13, -2, 0, 0, -6, 0, 9, 0, 0, 63, 120, 0, 0, -1, 0, -44, 0, 0, -82, -3, 0, 30, 0, 0, 7, 0, 0, 0, 30, 0, -86, -9, 0, 21, -12, 0, 36, 0, 0, 36, -12, 0, 0, 29, 0, 12, -93, 0, -34, 16, 0, -13, 0, 0, 56, 9, 0, 0, 111, 0, 43, 9, 0, 38, 78, 0, -14, 0, 0, -9, -48, 0, 0, 52, 0, 30, 0, 0, -88, -3, 0, -63, 0, 0, 37, -21, 0, 0, 18, 0, 14, 14, 0, 0, -66, 0, -43, 0, 0, -6, -30, 0, 0, 24, 0, -36, 63, 0, -12, 55, 0, -4, 0, 0, 64, -24, 0, 0, -6, 0, -62, -4, 0, 27, -12, 0, -40, 0, 0, 45, 48, 0, 0, -31, 0, -29, -42, 0, 8, 4, 0, -24, 0, 0, -17, 34, 0, 0, -24, 0, -36, 0, 0, 6, 39, 0, -91, 0, 0, 18, 3, 0, 0, 3, 0, 84, -27, 0, 40, -28, 0, -24, 0, 0, 43, -36, 0, 0, 0, 0, -14, 2, 0, 10, 12, 0, -54, 0, 0, 84, -12, 0, 0, 18, 0, 0, -6, 0, 10, -24, 0, 12, 0, 0, 36, 36, 0, 0, 120, 0, 82, 15, 0, 18, -48, 0, -46, 0, 0, -24, 60, 0, 0, -18, 0, -48, 30, 0, 9, 0, 0, -15, 0, 0, 52, -1, 0, 0, 96, 0, 25, -18, 0, 11, 24, 0, 0, 0, 0, -27, 72, 0, 0, 2, 0, -8, 120, 0, -10, 2, 0, 0, 0, 0, 91, 10, 0, 0, -12, 0, 18, 27, 0, -24, -36, 0, 38, 0, 0, -2, 0, 0, 0, 2, 0, -60, 24, 0, -36, 46, 0, -7, 0, 0, 64, -54, 0, 0, 0, 0, 8, 40, 0, -18, -12, 0, 8, 0, 0, -12, -93, 0, 0, -2, 0, -12, -114, 0, -10, 39, 0, -12, 0, 0, 32, -9, 0, 0, 33, 0, -38, 0, 0, 72, -81, 0, 27, 0, 0, -4, 12, 0, 0, -24, 0, 36, -3, 0, 0, -14, 0, 2, 0, 0, 10, 4, 0, 0, 9, 0, 108, 8, 0, -3, 78, 0, 18, 0, 0, -75, -18, 0, 0, -67, 0, -17, -72, 0, -2, -8, 0, -6, 0, 0, -32, -86, 0, 0, -60, 0, -98, 3, 0, 3, -45, 0, -8, 0, 0, 0, -12, 0, 0, -9, 0, -6, 15, 0, 47, -2, 0, 24, 0, 0, -14, -48, 0, 0, 12, 0, -10, 53, 0, -43, -30, 0, -43, 0, 0, 24, 3, 0, 0, -17, 0, -9, 18, 0, 50, -24, 0, 45, 0, 0, 37, -74, 0, 0, 36, 0, 0, 8, 0, -12, -12, 0, -26, 0, 0, 24, -90, 0, 0, 36, 0, 9, 63, 0, 36, -10, 0, -34, 0, 0, -28, 10, 0, 0, 3, 0, 61, -18, 0, 1, 0, 0, -52, 0, 0, -6, 78, 0, 0, 74, 0, -10, -36, 0, -82, 12, 0, 0, 0, 0, -9, 18, 0, 0, 30, 0, -16, 15, 0, -48, -69, 0, 101, 0, 0, 19, -42, 0, 0, 9, 0, 36, 36, 0, -72, -40, 0, -1, 0, 0, -18, 0, 0, 0, 30, 0, -83, 16, 0, -10, 114, 0, -52, 0, 0, 12, -75, 0, 0, -70, 0, -12, -24, 0, -104, 0, 0, -24, 0, 0, -23, -83, 0, 0, 0, 0, 18, -34, 0, 3, -120, 0, -9, 0, 0, 9, 24, 0, 0, -6, 0, -24, 0, 0, -7, 0, 0, -28, 0, 0, -5, -9, 0, 0, -75, 0, -45, 8, 0, 0, -54, 0, 2, 0, 0, -45, 60, 0, 0, 62, 0, -2, -48, 0, -52, 14, 0, -60, 0, 0, 32, 14, 0, 0, 48, 0, -38, -24, 0, -42, -72, 0, 8, 0, 0, -26, 66, 0, 0, -4, 0, 6, -123, 0, -34, -50, 0, -6, 0, 0, 0, -39, 0, 0, 9, 0, 1, 59, 0, -55, -3, 0, -36, 0, 0, -36, 0, 0, 0, -34, 0, 4, 48, 0, 11, 6, 0, 0, 0, 0, 58, -2, 0, 0, 0, 0, -10, 6, 0, -24, 30, 0, -8, 0, 0, 3, 12, 0, 0, -12, 0, 0, -12, 0, 0], "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": "9450.2.a.g", "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], [0], [0], [-1], [-1], [0], [0], [-3], [0], [1], [1], [0], [1], [0], [0], [-4], [0], [0], [3], [3], [0], [0], [-1], [0], [-1], [6], [0], [-4], [-1], [0], [0], [0], [0], [1], [4], [0], [0], [6], [0], [-8], [-3], [0], [-3], [3], [0], [1], [0], [0], [1], [12], [0], [0], [1], [0], [-6], [3], [0], [-7], [4], [0], [1], [0], [0], [4], [0], [0], [0], [-3], [0], [10], [-1], [0], [-4], [3], [0], [-10], [0], [0], [-6], [-12], [0], [0], [8], [0], [3], [6], [0], [-1], [3], [0], [-3], [0], [0], [13], [-1], [0], [0]]}