# Stored data for newform 9450.2.a.cg, downloaded from the LMFDB on 24 April 2024. {"label": "9450.2.a.cg", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 59, "hecke_orbit_code": 261208778421052650, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1471244843029918349, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [2, 1]], [13, [5, 1]], [17, [6, 1]], [19, [-6, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{7}+q^{8}-2q^{11}-5q^{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": "0.009", "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": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "1.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.177", "prec": 17}, {"__RealLiteral__": 0, "data": "4.765", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/cg"], "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, -2, 0, -5, -1, 0, 1, -6, 0, 6, 0, 0, -2, 8, 0, 0, -5, 0, -1, 5, 0, 7, 1, 0, -6, 0, 0, -4, 6, 0, 0, -1, 0, -4, -2, 0, 8, 2, 0, 1, 0, 0, -5, -13, 0, 0, -1, 0, 5, -4, 0, -9, 7, 0, 1, 0, 0, 9, -6, 0, 0, 15, 0, 12, -4, 0, 6, 2, 0, 10, 0, 0, -1, -5, 0, 0, -4, 0, -2, -11, 0, 5, 8, 0, 2, 0, 0, 8, 1, 0, 0, 12, 0, -16, -5, 0, -13, 10, 0, 0, 0, 0, -1, 12, 0, 0, 5, 0, -4, 6, 0, -7, -9, 0, 7, 0, 0, -8, 1, 0, 0, -1, 0, -6, 9, 0, -6, 12, 0, 14, 0, 0, 15, 10, 0, 0, 12, 0, -4, -18, 0, 24, 6, 0, 2, 0, 0, 17, 10, 0, 0, -8, 0, 7, -1, 0, -5, 12, 0, 12, 0, 0, -4, 6, 0, 0, -2, 0, -11, 10, 0, 3, 5, 0, 8, 0, 0, 12, 2, 0, 0, 15, 0, 25, 8, 0, 1, -5, 0, 27, 0, 0, 12, -5, 0, 0, -16, 0, -5, -12, 0, -4, -13, 0, 10, 0, 0, -7, 0, 0, 0, 30, 0, 21, -1, 0, 12, 19, 0, -22, 0, 0, 5, -6, 0, 0, -4, 0, 6, 24, 0, 16, -7, 0, -9, 0, 0, -30, 7, 0, 0, -13, 0, -16, -8, 0, 1, -7, 0, 4, 0, 0, -1, -27, 0, 0, -6, 0, 9, -20, 0, 5, -6, 0, 12, 0, 0, 8, 14, 0, 0, 10, 0, -26, 15, 0, 10, 1, 0, 19, 0, 0, 12, -6, 0, 0, -4, 0, -18, -40, 0, 4, 24, 0, 6, 0, 0, 20, 2, 0, 0, -18, 0, -30, 17, 0, 10, 3, 0, -10, 0, 0, -8, -36, 0, 0, 7, 0, -1, -2, 0, 20, -5, 0, 12, 0, 0, 18, 12, 0, 0, -14, 0, -1, -4, 0, 6, -8, 0, 21, 0, 0, -2, -9, 0, 0, -11, 0, 10, 17, 0, 17, 3, 0, 5, 0, 0, -8, 8, 0, 0, 13, 0, -30, 12, 0, 2, -25, 0, 11, 0, 0, 15, -14, 0, 0, 25, 0, 8, -22, 0, -48, 1, 0, -5, 0, 0, 29, 27, 0, 0, 14, 0, -35, 12, 0, -5, 8, 0, -16, 0, 0, -16, 4, 0, 0, -5, 0, -12, -1, 0, -14, -4, 0, -13, 0, 0, 9, 10, 0, 0, -21, 0, -20, -7, 0, 0, 48, 0, -16, 0, 0, 30, 2, 0, 0, 21, 0, -1, -8, 0, 2, 12, 0, 19, 0, 0, 42, -22, 0, 0, 18, 0, -4, 5, 0, -6, -21, 0, -9, 0, 0, -4, 8, 0, 0, 6, 0, 24, -16, 0, 20, 16, 0, -7, 0, 0, 8, -9, 0, 0, -26, 0, -30, -30, 0, 7, -15, 0, 25, 0, 0, -13, 30, 0, 0, -16, 0, -8, -26, 0, -12, 1, 0, -7, 0, 0, -4, 4, 0, 0, 33, 0, -4, -1, 0, -27, -42, 0, 41, 0, 0, -6, 5, 0, 0, 9, 0, -20, -2, 0, -10, 5, 0, -6, 0, 0, 13, 12, 0, 0, 30, 0, -10, 8, 0, 14, -3, 0, 20, 0, 0, 10, -4, 0, 0, -26, 0, 15, -18, 0, 1, 10, 0, 1, 0, 0, -32, 19, 0, 0, 5, 0, 26, 12, 0, -6, -12, 0, 42, 0, 0, -4, 14, 0, 0, -18, 0, -40, 13, 0, -8, 4, 0, 24, 0, 0, 29, 6, 0, 0, -10, 0, 16, 20, 0, 2, 8, 0, 2, 0, 0, -18, 11, 0, 0, -30, 0, 17, 24, 0, 40, 10, 0, 3, 0, 0, -5, -10, 0, 0, -36, 0, 20, -8, 0, -36, -22, 0, 8, 0, 0, 7, -25, 0, 0, -1, 0, -2, 12, 0, 18, 20, 0, -5, 0, 0, 40, 12, 0, 0, 18, 0, 19, 18, 0, 12, 34, 0, -8, 0, 0, -14, -40, 0, 0, -1, 0, -4, 65, 0, 0, 6, 0, -8, 0, 0, 6, 21, 0, 0, -15, 0, -24, -2, 0, -9, -12, 0, 2, 0, 0, -11, 56, 0, 0, 10, 0, 17, 16, 0, 16, 17, 0, 3, 0, 0, -13, 5, 0, 0, 24, 0, 14, -8, 0, 8, -18, 0, 11, 0, 0, 13, -37, 0, 0, -30, 0, 12, -10, 0, -40, 2, 0, -25, 0, 0, -34, 11, 0, 0, -21, 0, 0, 15, 0, -14, 20, 0, 34, 0, 0, 25, -42, 0, 0, 8, 0, -22, -6, 0, -30, -48, 0, 1, 0, 0, -32, -5, 0, 0, -12, 0, 45, 29, 0, 27, -48, 0, -12, 0, 0, 14, -24, 0, 0, -35, 0, 12, 12, 0, 6, -5, 0, 8, 0, 0, -24, -16, 0, 0, 39, 0, -18, -16, 0, 4, -44, 0, 13, 0, 0, -5, -6, 0, 0, -12, 0, -1, -56, 0, -4, -14, 0, -4, 0, 0, 7, -13, 0, 0, -32, 0, -26, 9, 0, 10, 23, 0, 30, 0, 0, -21, -13, 0, 0, -20, 0, -7, -20, 0, -45, 0, 0, 48, 0, 0, 44, -16, 0, 0, 35, 0, -12, 30, 0, 2, -56, 0, 8, 0, 0, 21, 12, 0, 0, -1, 0, -8, 35, 0, 78, 2, 0, 12, 0, 0, 17, 19, 0, 0, 53, 0, 10, 42, 0, -22, 1, 0, -6, 0, 0, 18, -75, 0, 0, -4, 0, 5, 15, 0, 6, -6, 0, -21, 0, 0, -18, -9, 0, 0, 42, 0, -8, -4, 0, 8, 32, 0, -60, 0, 0, 6, -58, 0, 0, 24, 0, -16, -12, 0, 18, 20, 0, 16, 0, 0, -14, -7, 0, 0, 3, 0, -14, 8, 0, -9, -42, 0, 22, 0, 0, -26, -4, 0, 0, -30, 0, -30, -32, 0, 22, 7, 0, -15, 0, 0, 59, 25, 0, 0, -10, 0, 24, -13, 0, 30, -78, 0, 11, 0, 0, -16, 18, 0, 0, -8, 0, -26, -24, 0, -23, -12, 0, 1, 0, 0, -50, -7, 0, 0, -11, 0, -38, -4, 0, 4, 54, 0, -40, 0, 0, 33, 18, 0, 0, -4, 0, -1, -2, 0, 35, -27, 0, -42, 0, 0, -24, 41, 0, 0, 26, 0, 29, -6, 0, 5, -16, 0, -2, 0, 0, 9, -20, 0, 0, -20, 0, -2, 25, 0, 16, -10, 0, 5, 0, 0, 54, -6, 0, 0, -44, 0, 48, 13, 0, 12, 19, 0, -17, 0, 0, 30, 15, 0, 0, -10, 0, 8, 24, 0, -24, 14, 0, -3, 0, 0, -8, 20, 0, 0, -24, 0, -18, 10, 0, -4, 8, 0, -23, 0, 0, -26, 32, 0, 0, 15, 0, -18, -54, 0, -7, 1, 0, 10, 0, 0, -28, 1, 0, 0, -24, 0, -36, -32, 0, 19, 55, 0, -54, 0, 0, 5, 0, 0, 0, 26, 0, 12, -12, 0, -61, -6, 0, -12, 0, 0, -20, 42, 0, 0, -16, 0, -12, -4, 0, 14, -26, 0, -5, 0, 0, -18, -5, 0, 0, -40, 0, 13, 0, 0, 2, -8, 0, 4, 0, 0, -90, 24, 0, 0, -6, 0, 58, 29, 0, 6, 37, 0, -104, 0, 0, -10, 8, 0, 0, 16, 0, 20, -11, 0, 17, 2, 0, 8, 0, 0, -55, 2, 0, 0, -72, 0, -24, -18, 0, 11, -20, 0, 10, 0, 0, -30, -10, 0, 0, 17, 0, 24, -28, 0, -40, 40, 0, 10, 0, 0, -3, 3, 0, 0, -7, 0, 54, -5, 0, -10, -24, 0, -5, 0, 0, -36, 64, 0, 0, 20, 0, -8, 30, 0, 2, -36, 0, -22, 0, 0, 31, 8, 0, 0, 26, 0, 20, 7, 0, -25, -12, 0, -12, 0, 0, -1, -60, 0, 0, -2, 0, 12, -32, 0, 22, 18, 0, 20, 0, 0, 58, -5, 0, 0, 36, 0, -28, 40, 0, 12, -15, 0, 80, 0, 0, 18, -60, 0, 0, 19, 0, 18, 90, 0, -25, 12, 0, 34, 0, 0, -32, -8, 0, 0, 42, 0, 10, -14, 0, -40, -21, 0, -21, 0, 0, -1, 11, 0, 0, -4, 0, 65, 5, 0, -52, 0, 0, 6, 0, 0, 72, -8, 0, 0, -50, 0, -27, 6, 0, 21, 16, 0, -31, 0, 0, -15, -72, 0, 0, -24, 0, -2, -16, 0, 30, -9, 0, -12, 0, 0, 0, 2, 0, 0, 5, 0, 50, -11, 0, 56, 36, 0, 64, 0, 0, 10, -11, 0, 0, 17, 0, 16, 40, 0, 2, 16, 0, 17, 0, 0, -1, 3, 0, 0, -32, 0, -70, -13, 0, 5, 14, 0, -38, 0, 0, 24, 12, 0, 0, 14, 0, -8, -60, 0, 22, 8, 0, -18, 0, 0, 4, 11, 0, 0, 14, 0, 26, 13, 0, -37, -64, 0, -40, 0, 0, -30, -15, 0, 0, 12, 0, -10, 76, 0, 60, -40, 0, 2, 0, 0, -24, -25, 0, 0, -14, 0, 66, -34, 0, 11, 4, 0, 7, 0, 0, -21, 60, 0, 0, 0, 0, 15, -28, 0, 20, -14, 0, 20, 0, 0, -65, 34, 0, 0, 72, 0, -11, 25, 0, -42, -30, 0, 2, 0, 0, 8, -15, 0, 0, -22, 0, -6, -24, 0, -21, -30, 0, -48, 0, 0, 64, 1, 0, 0, 16, 0, 35, -32, 0, -5, -30, 0, 33, 0, 0, -12, 27, 0, 0, 45, 0, 29, -19, 0, 16, 27, 0, -48, 0, 0, 10, -12, 0, 0, -18, 0, 22, 14, 0, -24, 75, 0, -44, 0, 0, -35, 18, 0, 0, 12, 0, 12, 4, 0, 44, 6, 0, -5, 0, 0, 28, 8, 0, 0, 6, 0, 120, -24, 0, -16, -32, 0, 36, 0, 0, 39, -91, 0, 0, -18, 0, -16, -48, 0, 40, 4, 0, -44, 0, 0, -34, 13, 0, 0, -48, 0, -12, -5, 0, -6, 6, 0, -7, 0, 0, -12, -24, 0, 0, -1, 0, -56, 96, 0, -40, -4, 0, -14, 0, 0, -16, -4, 0, 0, -66, 0, 18, 7, 0, -13, -55, 0, -8, 0, 0, -32, 5, 0, 0, -26, 0, 9, 81, 0, -20, 10, 0, 23, 0, 0, -72, 30, 0, 0, 35, 0, -7, -21, 0, -13, -34, 0, 30, 0, 0, -20, -73, 0, 0, -7, 0, -20, -8, 0, -11, -45, 0, 0, 0, 0, -3, 48, 0, 0, 96, 0, -28, 44, 0, -16, 13, 0, 24, 0, 0, 35, 4, 0, 0, -12, 0, 30, -45, 0, 16, 2, 0, -56, 0, 0, 54, 8, 0, 0, -60, 0, -21, 21, 0, 12, -72, 0, -16, 0, 0, -1, -14, 0, 0, -8, 0, 35, 7, 0, -73, 78, 0, 2, 0, 0, -70, 12, 0, 0, -27, 0, -4, 17, 0, 19, 80, 0, -60, 0, 0, 53, 68, 0, 0, 10, 0, 42, -28, 0, 20, -22, 0, 1, 0, 0, -24, -6, 0, 0, 27, 0, 48, 18, 0, -75, 12, 0, -27, 0, 0, -4, 0, 0, 0, 5, 0, 15, -24, 0, -26, 6, 0, -6, 0, 0, -46, -21, 0, 0, -45, 0, 59, -18, 0, -9, 57, 0, -59, 0, 0, 42, 20, 0, 0, -8, 0, -4, -79, 0, -63, 8, 0, 32, 0, 0, -5, -60, 0, 0, 38, 0, -12, 6, 0, -58, -27, 0, -40, 0, 0, 24, -30, 0, 0, -16, 0, -12, 72, 0, -72, 18, 0, 20, 0, 0, -2, 16, 0, 0, 37, 0, 10, -14, 0, -7, 90, 0, -8, 0, 0, 3, 45, 0, 0, -14, 0, 8, 60, 0, 19, -9, 0, -42, 0, 0, -96, 22, 0, 0, 52, 0, -120, -26, 0, -4, -10, 0, -20, 0, 0, -30, 66, 0, 0, -30, 0, -32, -48, 0, 26, 22, 0, 7, 0, 0, 18, -15, 0, 0, -6, 0, -68, 59, 0, 25, 18, 0, -52, 0, 0, -10, -54, 0, 0, 24, 0, -13, -1, 0, -29, 30, 0, -78, 0, 0, 2, 11, 0, 0, -8, 0, -19, -16, 0, 18, -10, 0, -82, 0, 0, -8, 60, 0, 0, -26, 0, -24, -51, 0, -85, -23, 0, -12, 0, 0, -88, 1, 0, 0, 6, 0, -46, -50, 0, -7, 42, 0, 75, 0, 0, -11, 78, 0, 0, -38, 0, -4, 1, 0, 0, 4, 0, 54, 0, 0, 63, -40, 0, 0, 36, 0, 79, 33, 0, 18, -12, 0, -58, 0, 0, -4, 40, 0, 0, -1, 0, -2, 5, 0, -30, 35, 0, -27, 0, 0, -4, -42, 0, 0, -45, 0, -62, -24, 0, 41, 60, 0, -35, 0, 0, 26, -50, 0, 0, 29, 0, -6, -56, 0, 84, 5, 0, -16, 0, 0, 14, -2, 0, 0, 0, 0, 10, 9, 0, -20, 72, 0, -20, 0, 0, -20, 36, 0, 0, -2, 0, 25, 48, 0, -10, 16, 0, -10, 0, 0, 10, 5, 0, 0, -60, 0, 13, 54, 0, -6, 18, 0, 33, 0, 0, -44, 16, 0, 0, 48, 0, 13, -54, 0, 30, 12, 0, 19, 0, 0, 5, -17, 0, 0, 105, 0, -20, 30, 0, 15, 45, 0, -43, 0, 0, -10, 39, 0, 0, 8, 0, 24, -3, 0, -60, -24, 0, 14, 0, 0, 6, -3, 0, 0, 64, 0, 10, -8, 0, 20, 47, 0, 63, 0, 0, -24, 21, 0, 0, -18, 0, 10, -30, 0, -60, -4, 0, 8, 0, 0, 36, -23, 0, 0, 36, 0, 84, -26, 0, 32, 25, 0, -20, 0, 0, 15, 90, 0, 0, -18, 0, -54, 52, 0, -32, -7, 0, 1, 0, 0, 13, 10, 0, 0, 50, 0, -16, -28, 0, 1, 84, 0, -42, 0, 0, -24, 2, 0, 0, -36, 0, -32, 54, 0, -62, 19, 0, 55, 0, 0, -20, -54, 0, 0, 8, 0, 96, 5, 0, 0, -50, 0, -72, 0, 0, 26, 49, 0, 0, 12, 0, -12, -36, 0, 91, -61, 0, -6, 0, 0, -25, -12, 0, 0, -48, 0, -15, -20, 0, 42, -62, 0, -18, 0, 0, -16, -84, 0, 0, -12, 0, -4, -128, 0, -2, 14, 0, -26, 0, 0, 14, -5, 0, 0, -6, 0, -40, -18, 0, -5, 14, 0, -30, 0, 0, -40, 27, 0, 0, 13, 0, 0, -12, 0, 1, 2, 0, -8, 0, 0, -25, 4, 0, 0, 21, 0, -48, -90, 0, 24, -72, 0, 4, 0, 0, -6, -29, 0, 0, 58, 0, 29, 8, 0, -60, 6, 0, 37, 0, 0, 44, -104, 0, 0, 49, 0, -21, -10, 0, 8, 45, 0, 70, 0, 0, 16, -42, 0, 0, 20, 0, -11, 82, 0, 80, 17, 0, 2, 0, 0, -24, 8, 0, 0, 9, 0, 73, -55, 0, 2, -52, 0, -36, 0, 0, -72, -75, 0, 0, -24, 0, -18, -6, 0, -26, 11, 0, -20, 0, 0, -38, 10, 0, 0, 9, 0, 42, -30, 0, -10, 0, 0, -125, 0, 0, 17, -17, 0, 0, 24, 0, -28, 44, 0, -63, -40, 0, 40, 0, 0, -17, 10, 0, 0, 36, 0, 108, -3, 0, 3, 16, 0, -78, 0, 0, -7, 69, 0, 0, 54, 0, -5, -6, 0, 44, -10, 0, -24, 0, 0, -46, -5, 0, 0, 25, 0, 12, -36, 0, 64, -144, 0, 8, 0, 0, 20, -35, 0, 0, -8, 0, 30, 84, 0, -55, 2, 0, -36, 0, 0, -135, -22, 0, 0, -55, 0, 66, 31, 0, 8, -13, 0, 96, 0, 0, 26, 72, 0, 0, 20, 0, 7, -31, 0, 30, -25, 0, -12, 0, 0, 20, -12, 0, 0, -18, 0, 36, -1, 0, -60, -60, 0, -48, 0, 0, -2, -6, 0, 0, 12, 0, -32, 25, 0, 84, 22, 0, 18, 0, 0, 48, 20, 0, 0, -32, 0, -11, 58, 0, -5, 48, 0, -20, 0, 0, 36, 66, 0, 0, -28, 0, 40, -102, 0, 68, 12, 0, -15, 0, 0, -27, 80, 0, 0, 14, 0, 71, 18, 0, -60, 8, 0, -50, 0, 0, 19, -24, 0, 0, 18, 0, 90, -66, 0, -48, -25, 0, 12, 0, 0, -2, 34, 0, 0, -11, 0, -95, -32, 0, -8, 60, 0, 64, 0, 0, 42, 22, 0, 0, 10, 0, -14, -75, 0, -63, -40, 0, -21, 0, 0, 48, -21, 0, 0, -57, 0, 20, -1, 0, 11, -9, 0, -5, 0, 0, -4, 84, 0, 0, 65, 0, 5, -77, 0, 26, -52, 0, 0, 0, 0, 78, 6, 0, 0, -42, 0, -8, 72, 0, -8, 30, 0, -29, 0, 0, -50, -56, 0, 0, -27, 0, 6, -42, 0, -45, 21, 0, 16, 0, 0, 28, -31, 0, 0, -30, 0, 36, -15, 0, -72, -14, 0, 116, 0, 0, -24, 40, 0, 0, -2, 0, -16, 75, 0, 35, 30, 0, -9, 0, 0, 14, -12, 0, 0, -108, 0, -54, 0, 0, 2, 55, 0, -72, 0, 0, 5, 0, 0, 0, 50, 0, -11, -8, 0, -67, 56, 0, 36, 0, 0, -21, 64, 0, 0, 14, 0, 16, 10, 0, -11, -18, 0, 144, 0, 0, 17, -72, 0, 0, 16, 0, 40, 80, 0, -36, 2, 0, 16, 0, 0, 39, 17, 0, 0, -4, 0, 54, -1, 0, 3, 50, 0, -105, 0, 0, -32, 56, 0, 0, -70, 0, -13, -34, 0, -15, 5, 0, 14, 0, 0, -1, -38, 0, 0, -64, 0, -40, 24, 0, 12, 93, 0, 60, 0, 0, 14, 1, 0, 0, -8, 0, -60, 24, 0, -36, 22, 0, 8, 0, 0, 14, -18, 0, 0, -95, 0, -26, 4, 0, 11, 14, 0, 40, 0, 0, 14, -80, 0, 0, 26, 0, 13, 102, 0, -80, -37, 0, -64, 0, 0, 110, -40, 0, 0, -10, 0, 102, -30, 0, -15, -80, 0, -9, 0, 0, 12, -12, 0, 0, -10, 0, 76, 60, 0, -26, 60, 0, -40, 0, 0, 56, 2, 0, 0, 54, 0, -8, -24, 0, -25, 21, 0, -20, 0, 0, -14, -24, 0, 0, 66, 0, -34, 30, 0, 20, 11, 0, 4, 0, 0, -65, 7, 0, 0, -18, 0, -60, -21, 0, 60, -16, 0, 3, 0, 0, 0, -60, 0, 0, 15, 0, -28, -48, 0, 34, 20, 0, -14, 0, 0, -43, 20, 0, 0, 20, 0, 16, -65, 0, 34, -18, 0, -79, 0, 0, 72, -33, 0, 0, -11, 0, 25, -24, 0, -20, -42, 0, -30, 0, 0, 42, 2, 0, 0, -2, 0, 50, 8, 0, -15, -120, 0, 96, 0, 0, -22, 52, 0, 0, -6, 0, -24, 56, 0, 52, -21, 0, -30, 0, 0, 52, -48, 0, 0, 84, 0, -80, 64, 0, 1, -104, 0, -48, 0, 0, 16, 8, 0, 0, 35, 0, -32, 18, 0, 96, -5, 0, -30, 0, 0, -2, 33, 0, 0, 0, 0, -40, -12, 0, 27, 96, 0, -38, 0, 0, 45, 72, 0, 0, 29, 0, -19, -38, 0, 18, 16, 0, 27, 0, 0, -11, -48, 0, 0, 46, 0, -112, 10, 0, -12, 112, 0, -42, 0, 0, -18, 54, 0, 0, 22, 0, 14, 61, 0, 72, -24, 0, 75, 0, 0, -54, -44, 0, 0, -11, 0, 12, -35, 0, 18, -18, 0, 90, 0, 0, 12, 117, 0, 0, 12, 0, 4, -10, 0, 4, 44, 0, 6, 0, 0, -90, -5, 0, 0, 7, 0, 49, 28, 0, 8, 92, 0, 99, 0, 0, 6, 65, 0, 0, 120, 0, -24, 21, 0, 10, -16, 0, -32, 0, 0, 60, 36, 0, 0, -150, 0, 9, 39, 0, -91, 36, 0, 80, 0, 0, -18, 44, 0, 0, -16, 0, -48, 100, 0, 42, 40, 0, 4, 0, 0, -38, -44, 0, 0, -8, 0, 39, -34, 0, 13, 70, 0, 54, 0, 0, -48, -59, 0, 0, -12, 0, -5, -74, 0, -104, -6, 0, 6, 0, 0, 30, -7, 0, 0, 35, 0, -12, -12, 0, -24, -16, 0, 30, 0, 0, -1, 16, 0, 0, -56, 0, 96, -54, 0, 73, -40, 0, -4, 0, 0, -20, -14, 0, 0, -12, 0, 82, -16, 0, -4, -40, 0, 0, 0, 0, -66, -162, 0, 0, 18, 0, 7, -66, 0, 95, -13, 0, -55, 0, 0, -40, -8, 0, 0, 60, 0, 5, -32, 0, 5, 28, 0, -8, 0, 0, -26, -75, 0, 0, 9, 0, 81, 135, 0, 36, -20, 0, 10, 0, 0, -144, 23, 0, 0, 24, 0, -104, -72, 0, 30, 26, 0, 18, 0, 0, 35, 60, 0, 0, -7, 0, -21, 55, 0, 30, -13, 0, -34, 0, 0, 20, 30, 0, 0, 48, 0, -101, -20, 0, -73, 100, 0, 22, 0, 0, -7, 192, 0, 0, -20, 0, -8, 15, 0, -43, -11, 0, -45, 0, 0, -6, 0, 0, 0, -3, 0, -25, -3, 0, 48, 100, 0, -22, 0, 0, 96, 84, 0, 0, -28, 0, 44, -35, 0, 70, -16, 0, 13, 0, 0, 75, 24, 0, 0, -30, 0, -25, 35, 0, 4, -16, 0, -58, 0, 0, -12, 36, 0, 0, 30, 0, -45, -44, 0, 30, 16, 0, 2, 0, 0, -86, -56, 0, 0, -117, 0, 72, 54, 0, 8, -54, 0, -40, 0, 0, -60, 26, 0, 0, -21, 0, 21, 20, 0, 57, 12, 0, -72, 0, 0, 12, -16, 0, 0, -99, 0, -71, -1, 0, -14, 24, 0, -32, 0, 0, -8, -66, 0, 0, 35, 0, 7, 36, 0, -40, -73, 0, 78, 0, 0, -98, 2, 0, 0, 136, 0, 54, -70, 0, 12, 18, 0, 4, 0, 0, -27, -83, 0, 0, -4, 0, 17, 90, 0, 56, 19, 0, 80, 0, 0, -20, -60, 0, 0, -40, 0, 106, 53, 0, 68, -33, 0, 11, 0, 0, 10, -50, 0, 0, 42, 0, -28, -57, 0, 4, 20, 0, -22, 0, 0, 150, 1, 0, 0, 32, 0, -100, -24, 0, -6, 59, 0, 130, 0, 0, 27, -40, 0, 0, 48, 0, 18, 42, 0, -85, -75, 0, 12, 0, 0, 33, -27, 0, 0, -90, 0, -41, -4, 0, 0, -36, 0, 95, 0, 0, 5, 20, 0, 0, 15, 0, -24, 41, 0, 20, -26, 0, 6, 0, 0, 44, -6, 0, 0, -5, 0, 88, -46, 0, -21, -48, 0, -1, 0, 0, -45, -30, 0, 0, 59, 0, -18, 56, 0, -49, -9, 0, 57, 0, 0, -95, -59, 0, 0, 60, 0, -195, 42, 0, 20, -48, 0, -82, 0, 0, -8, 2, 0, 0, -4, 0, -79, -47, 0, 162, -63, 0, 8, 0, 0, 10, 32, 0, 0, -126, 0, 96, -5, 0, -60, -60, 0, -5, 0, 0, 38, -20, 0, 0, -12, 0, 6, 30, 0, 64, -58, 0, -27, 0, 0, 16, -40, 0, 0, -48, 0, -52, 24, 0, -30, 44, 0, -13, 0, 0, -16, 12, 0, 0, -12, 0, 72, -42, 0, 96, -72, 0, 18, 0, 0, 76, 20, 0, 0, 78, 0, -107, -2, 0, 16, -30, 0, -114, 0, 0, 37, 42, 0, 0, 10, 0, -14, -156, 0, 10, -7, 0, 90, 0, 0, -18, -8, 0, 0, 11, 0, 18, 3, 0, 45, 96, 0, -57, 0, 0, -14, 132, 0, 0, 8, 0, 60, 3, 0, -10, 19, 0, -9, 0, 0, 73, -42, 0, 0, -100, 0, -20, -96, 0, 22, -86, 0, 113, 0, 0, 52, -87, 0, 0, -120, 0, -26, -18, 0, -35, -4, 0, -10, 0, 0, -56, -20, 0, 0, 4, 0, -32, -30, 0, 66, -93, 0, -34, 0, 0, -30, -36, 0, 0, -32, 0, -48, -40, 0, 36, 26, 0, 22, 0, 0, 15, 7, 0, 0, -34, 0, 60, 18, 0, -15, -8, 0, 48, 0, 0, -6, 18, 0, 0, -68, 0, 59, 112, 0, -100, 25, 0, 18, 0, 0, -1, -52, 0, 0, 120, 0, 74, -10, 0, -54, 0, 0, -24, 0, 0, 24, 29, 0, 0, -13, 0, -1, -90, 0, 11, -29, 0, 30, 0, 0, -12, -78, 0, 0, 70, 0, 0, 2, 0, 11, 16, 0, 32, 0, 0, -8, 90, 0, 0, -19, 0, -16, 38, 0, -34, 18, 0, -10, 0, 0, -6, -82, 0, 0, -7, 0, -144, -8, 0, 60, -5, 0, 150, 0, 0, -26, -31, 0, 0, -24, 0, -51, 64, 0, -26, -85, 0, -23, 0, 0, -81, -12, 0, 0, 11, 0, 89, -88, 0, 1, -96, 0, -17, 0, 0, 6, 60, 0, 0, -46, 0, -50, 12, 0, 36, -7, 0, 42, 0, 0, 80, 75, 0, 0, -15, 0, -42, -11, 0, 78, -48, 0, -26, 0, 0, -38, 48, 0, 0, -4, 0, 1, 112, 0, -12, 0, 0, 4, 0, 0, 50, 54, 0, 0, -14, 0, -23, 63, 0, -40, -54, 0, 16, 0, 0, 36, 24, 0, 0, 79, 0, 33, -22, 0, -32, 18, 0, -12, 0, 0, -34, -58, 0, 0, -48, 0, -22, -4, 0, 40, -130, 0, -60, 0, 0, -1, -13, 0, 0, -2, 0, 5, 180, 0, 23, -30, 0, 35, 0, 0, 8, -27, 0, 0, -46, 0, 28, -4, 0, -42, 115, 0, 106, 0, 0, -45, 16, 0, 0, -62, 0, -24, 57, 0, -83, 41, 0, 60, 0, 0, 126, -35, 0, 0, -15, 0, 87, 26, 0, -50, 84, 0, -29, 0, 0, 29, 34, 0, 0, -6, 0, -56, -12, 0, -58, 84, 0, 5, 0, 0, 78, -16, 0, 0, -95, 0, -72, 14, 0, -2, 10, 0, 44, 0, 0, 0, -29, 0, 0, 10, 0, 9, 31, 0, -16, -20, 0, 72, 0, 0, 86, -20, 0, 0, 96, 0, -100, -20, 0, 36, -48, 0, 98, 0, 0, -2, 114, 0, 0, 25, 0, 48, -8, 0, -90], "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.s", "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], [-2], [0], [-5], [-1], [0], [1], [-6], [0], [6], [0], [0], [-2], [8], [0], [0], [-5], [0], [-1], [5], [0], [7], [1], [0], [-6], [0], [0], [-4], [6], [0], [0], [-1], [0], [-4], [-2], [0], [8], [2], [0], [1], [0], [0], [-5], [-13], [0], [0], [-1], [0], [5], [-4], [0], [-9], [7], [0], [1], [0], [0], [9], [-6], [0], [0], [15], [0], [12], [-4], [0], [6], [2], [0], [10], [0], [0], [-1], [-5], [0], [0], [-4], [0], [-2], [-11], [0], [5], [8], [0], [2], [0], [0], [8], [1], [0], [0]]}