# Stored data for newform 9450.2.a.s, downloaded from the LMFDB on 24 April 2024. {"label": "9450.2.a.s", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326232810, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1873975753685627977, "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": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "4.765", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/s"], "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]]}