# Stored data for newform 9450.2.a.du, downloaded from the LMFDB on 29 March 2024. {"label": "9450.2.a.du", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 99, "hecke_orbit_code": 441352763515872490, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 798396142607302199, "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.992", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.765", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/du"], "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]]}