# Stored data for newform 9450.2.a.ex, downloaded from the LMFDB on 25 April 2024. {"label": "9450.2.a.ex", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 128, "hecke_orbit_code": 571957152709616874, "dim": 2, "is_polredabs": true, "nf_label": "2.2.40.1", "trace_hash": 523715663926322909, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [-2, 1]], [13, [-9, -2, 1]], [17, [-39, -2, 1]], [19, [-3, 1]]], "qexp_display": "q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{11}+(1+\\cdots)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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [9450, 1, [9101, 6427, 6751], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 40, "field_disc_factorization": [[2, 3], [5, 1]], "field_poly": [-10, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "2.050", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.462", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "74.231", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [7, -1]], "trace_display": [2, 0, 0, 2], "traces": [0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 4, 0, 2, 2, 0, 2, 2, 0, 6, 0, 0, 4, -4, 0, 0, 2, 0, 2, 10, 0, 0, 2, 0, 2, 0, 0, -4, 6, 0, 0, 8, 0, 0, 4, 0, -4, -2, 0, 2, 0, 0, 2, 6, 0, 0, 2, 0, 10, 12, 0, -14, 0, 0, 2, 0, 0, 12, 2, 0, 0, -8, 0, 4, -4, 0, 6, 4, 0, -10, 0, 0, 8, 0, 0, 0, 0, 0, 4, 10, 0, 2, -4, 0, -2, 0, 0, -4, 2, 0, 0, 12, 0, 0, 2, 0, 6, 4, 0, 12, 0, 0, 2, -4, 0, 0, 10, 0, 12, 2, 0, -14, -14, 0, 0, 0, 0, 10, 2, 0, 0, 8, 0, 6, 12, 0, 2, -24, 0, 12, 0, 0, -8, 4, 0, 0, 4, 0, -4, 18, 0, -10, 6, 0, 4, 0, 0, 42, -10, 0, 0, -4, 0, -12, 8, 0, 0, -24, 0, -4, 0, 0, 0, 32, 0, 0, 4, 0, 10, 38, 0, -26, 2, 0, -4, 0, 0, 4, -2, 0, 0, 0, 0, -42, -4, 0, 2, 6, 0, -4, 0, 0, 12, 10, 0, 0, 0, 0, 2, 12, 0, -12, 6, 0, 4, 0, 0, 0, 12, 0, 0, 42, 0, 8, 2, 0, -4, 12, 0, 42, 0, 0, 10, -12, 0, 0, 12, 0, 2, 20, 0, -28, -14, 0, -14, 0, 0, 6, 0, 0, 0, -20, 0, -8, 10, 0, 2, -38, 0, -4, 0, 0, 8, 20, 0, 0, 6, 0, 12, 20, 0, 8, 2, 0, -24, 0, 0, 4, 12, 0, 0, 24, 0, -18, -8, 0, 4, 8, 0, 48, 0, 0, 4, 4, 0, 0, -4, 0, 18, 16, 0, 0, -10, 0, 6, 0, 0, -12, 4, 0, 0, 36, 0, 4, 42, 0, -10, -50, 0, 20, 0, 0, -4, 6, 0, 0, -12, 0, 8, -2, 0, -36, 0, 0, -24, 0, 0, 14, -4, 0, 0, 0, 0, 2, 0, 0, 32, -46, 0, 10, 0, 0, 4, 48, 0, 0, 10, 0, 38, 44, 0, -20, -26, 0, 2, 0, 0, 4, -4, 0, 0, 6, 0, 4, 4, 0, -2, -10, 0, -16, 0, 0, 0, 40, 0, 0, -42, 0, -4, -34, 0, 36, 2, 0, 6, 0, 0, -6, -4, 0, 0, 12, 0, -40, 12, 0, 10, -8, 0, -4, 0, 0, 0, 12, 0, 0, 2, 0, 12, 4, 0, -36, -12, 0, 6, 0, 0, -14, 4, 0, 0, 24, 0, 48, 0, 0, 12, -12, 0, 36, 0, 0, 42, 6, 0, 0, 8, 0, 2, 44, 0, 16, -4, 0, 12, 0, 0, 2, 42, 0, 0, -4, 0, -22, 10, 0, -12, 8, 0, 12, 0, 0, 12, 0, 0, 0, 2, 0, 20, -2, 0, 56, -28, 0, -14, 0, 0, -16, -14, 0, 0, -22, 0, -30, 6, 0, 0, -8, 0, 16, 0, 0, -20, 60, 0, 0, -8, 0, 10, -20, 0, 4, 2, 0, -38, 0, 0, -4, -4, 0, 0, -50, 0, -42, 8, 0, 20, -80, 0, -18, 0, 0, 6, 8, 0, 0, 12, 0, 20, 4, 0, -4, 8, 0, 2, 0, 0, -16, -24, 0, 0, 30, 0, -10, 4, 0, 12, 34, 0, 20, 0, 0, 24, 28, 0, 0, -18, 0, -8, 48, 0, 28, 4, 0, 8, 0, 0, -56, 48, 0, 0, 0, 0, 12, 4, 0, 4, 44, 0, 0, 0, 0, -4, 14, 0, 0, 18, 0, 16, -4, 0, -56, 0, 0, -10, 0, 0, -48, 6, 0, 0, -62, 0, 8, -12, 0, 4, -56, 0, -20, 0, 0, 36, 10, 0, 0, 4, 0, 42, 116, 0, -54, -10, 0, -50, 0, 0, 2, 20, 0, 0, -8, 0, -30, -4, 0, 6, 42, 0, 24, 0, 0, -12, -62, 0, 0, 8, 0, -2, 38, 0, -20, -36, 0, 0, 0, 0, -40, -24, 0, 0, -28, 0, -32, 14, 0, -4, -20, 0, -4, 0, 0, 0, 40, 0, 0, 2, 0, 0, -14, 0, 4, 32, 0, -46, 0, 0, 8, 10, 0, 0, 20, 0, -12, 4, 0, 48, 12, 0, 0, 0, 0, 10, -40, 0, 0, 38, 0, 44, -10, 0, 0, -20, 0, -26, 0, 0, -44, 2, 0, 0, 40, 0, 6, 4, 0, -4, 24, 0, 12, 0, 0, 6, -28, 0, 0, 4, 0, 4, 4, 0, 16, -2, 0, -10, 0, 0, 24, -16, 0, 0, 6, 0, 12, 0, 0, 40, -28, 0, 32, 0, 0, -42, 72, 0, 0, -4, 0, -34, 24, 0, -16, 36, 0, 2, 0, 0, 4, 6, 0, 0, -4, 0, 6, -6, 0, -4, -24, 0, -122, 0, 0, 12, 8, 0, 0, -40, 0, 12, -12, 0, 20, 10, 0, -8, 0, 0, 0, -4, 0, 0, -30, 0, -52, 0, 0, 12, 42, 0, -18, 0, 0, 2, 2, 0, 0, 12, 0, 4, 30, 0, 12, -36, 0, -12, 0, 0, -14, 6, 0, 0, 68, 0, -24, -14, 0, 4, 14, 0, 48, 0, 0, 24, -48, 0, 0, 48, 0, 0, -20, 0, -48, 12, 0, -12, 0, 0, 8, 36, 0, 0, -58, 0, -72, 42, 0, 6, -48, 0, 10, 0, 0, 8, -6, 0, 0, 2, 0, 44, 40, 0, -34, 16, 0, -4, 0, 0, 8, 12, 0, 0, 40, 0, 0, 2, 0, 42, 8, 0, -4, 0, 0, -4, -48, 0, 0, -22, 0, 10, -22, 0, 6, -12, 0, 8, 0, 0, -20, 12, 0, 0, 40, 0, -16, 12, 0, 0, -92, 0, -36, 0, 0, 2, 20, 0, 0, 20, 0, -2, -24, 0, 18, 56, 0, -28, 0, 0, -26, -14, 0, 0, 36, 0, 12, -16, 0, -14, -24, 0, 20, 0, 0, -22, 22, 0, 0, -30, 0, 6, 20, 0, 98, 0, 0, -8, 0, 0, 20, 16, 0, 0, 4, 0, -68, -20, 0, 60, 18, 0, -24, 0, 0, -8, 40, 0, 0, 10, 0, -20, -44, 0, -12, 4, 0, 2, 0, 0, -70, -38, 0, 0, -28, 0, -34, -4, 0, -4, 26, 0, 40, 0, 0, -50, 18, 0, 0, -42, 0, 8, 22, 0, -12, 20, 0, -80, 0, 0, -10, -18, 0, 0, -20, 0, -28, 6, 0, 8, -8, 0, 14, 0, 0, 12, -80, 0, 0, 20, 0, 4, 20, 0, -56, -4, 0, 8, 0, 0, -50, 2, 0, 0, -52, 0, -44, -16, 0, -24, 66, 0, 42, 0, 0, 30, -24, 0, 0, -10, 0, 4, -48, 0, 24, 12, 0, 34, 0, 0, 52, 20, 0, 0, 36, 0, -26, 24, 0, 28, -4, 0, 74, 0, 0, -18, 0, 0, 0, -8, 0, 48, -108, 0, -12, 28, 0, 4, 0, 0, -120, 8, 0, 0, 18, 0, 0, -56, 0, 48, 10, 0, -42, 0, 0, 0, -38, 0, 0, 12, 0, 4, -24, 0, 72, 4, 0, 44, 0, 0, 8, 0, 0, 0, 56, 0, -4, -4, 0, 14, 22, 0, 40, 0, 0, 18, 10, 0, 0, 16, 0, -4, 24, 0, 30, -56, 0, 0, 0, 0, -88, -10, 0, 0, 32, 0, -8, -48, 0, 6, -2, 0, -32, 0, 0, -62, -2, 0, 0, 8, 0, -12, -74, 0, -32, 4, 0, -56, 0, 0, 70, -20, 0, 0, -76, 0, -8, 36, 0, 10, -20, 0, -44, 0, 0, 4, 38, 0, 0, 42, 0, 116, 52, 0, -64, -54, 0, -10, 0, 0, -26, -50, 0, 0, 0, 0, 36, 2, 0, 20, 80, 0, 0, 0, 0, -8, -92, 0, 0, -30, 0, -4, 84, 0, -38, 6, 0, 42, 0, 0, -70, 24, 0, 0, 52, 0, -78, -12, 0, -62, 56, 0, 4, 0, 0, 8, 72, 0, 0, -2, 0, 38, -64, 0, -24, -20, 0, -36, 0, 0, 4, 0, 0, 0, -72, 0, -40, -40, 0, -24, 0, 0, -40, 0, 0, -28, -130, 0, 0, -32, 0, 14, -24, 0, -42, -4, 0, -20, 0, 0, -64, -4, 0, 0, 42, 0, 50, 0, 0, 40, 64, 0, 114, 0, 0, 2, -40, 0, 0, 0, 0, -14, 6, 0, 40, 4, 0, 32, 0, 0, 12, -46, 0, 0, 44, 0, -4, 8, 0, 10, 20, 0, -56, 0, 0, 20, 48, 0, 0, -12, 0, 4, -8, 0, 40, 48, 0, 12, 0, 0, 72, 0, 0, 0, 10, 0, 34, 10, 0, -40, -52, 0, -96, 0, 0, 38, -58, 0, 0, 44, 0, -10, 0, 0, 16, 0, 0, -20, 0, 0, -60, -26, 0, 0, -42, 0, -12, -44, 0, 2, 120, 0, -38, 0, 0, 40, 12, 0, 0, 6, 0, 4, -84, 0, -10, -4, 0, 24, 0, 0, -12, 12, 0, 0, 40, 0, -66, 6, 0, -28, -4, 0, 0, 0, 0, 4, -130, 0, 0, 4, 0, 4, -108, 0, -30, 16, 0, -2, 0, 0, -48, -10, 0, 0, 10, 0, 10, 24, 0, -16, -16, 0, 0, 0, 0, 6, -50, 0, 0, 12, 0, 0, 24, 0, 70, 40, 0, -28, 0, 0, 50, 32, 0, 0, -84, 0, -28, -42, 0, 72, 42, 0, 84, 0, 0, -4, 6, 0, 0, -34, 0, 24, 18, 0, 8, -16, 0, 36, 0, 0, 36, 2, 0, 0, 20, 0, -14, 4, 0, 6, 0, 0, -40, 0, 0, -4, -64, 0, 0, 6, 0, -6, 12, 0, 60, -4, 0, -24, 0, 0, 88, -122, 0, 0, -18, 0, 42, 12, 0, 8, 48, 0, 40, 0, 0, -40, 96, 0, 0, 12, 0, -12, 34, 0, -56, 20, 0, 10, 0, 0, -20, -8, 0, 0, -12, 0, -24, 0, 0, -4, 28, 0, 36, 0, 0, -30, 40, 0, 0, -52, 0, 0, -124, 0, -50, 12, 0, 42, 0, 0, 28, -18, 0, 0, -20, 0, -6, 2, 0, 2, -50, 0, 54, 0, 0, 12, 20, 0, 0, 4, 0, 30, -48, 0, -50, 12, 0, -36, 0, 0, -28, -12, 0, 0, 30, 0, 82, -14, 0, 6, 8, 0, -42, 0, 0, 68, -52, 0, 0, -24, 0, -14, -102, 0, 100, 4, 0, 14, 0, 0, 132, 48, 0, 0, -82, 0, -12, 24, 0, -48, 84, 0, 6, 0, 0, 48, -10, 0, 0, 0, 0, -20, -176, 0, 70, -48, 0, 12, 0, 0, 12, -12, 0, 0, -80, 0, -16, 8, 0, 36, -20, 0, -30, 0, 0, -58, 0, 0, 0, -72, 0, 42, -90, 0, -8, 6, 0, -48, 0, 0, -32, 10, 0, 0, 36, 0, 52, 8, 0, -6, -34, 0, -32, 0, 0, 2, -24, 0, 0, 44, 0, 40, -38, 0, 20, -34, 0, 16, 0, 0, 52, -4, 0, 0, 104, 0, -4, 8, 0, 12, -40, 0, 84, 0, 0, 40, -24, 0, 0, 0, 0, 2, 80, 0, 34, 42, 0, 8, 0, 0, -48, -4, 0, 0, 20, 0, -12, -4, 0, -48, 6, 0, -66, 0, 0, -22, 132, 0, 0, 10, 0, -22, -8, 0, -98, 6, 0, -12, 0, 0, -40, 8, 0, 0, -144, 0, 30, -20, 0, 12, -48, 0, -132, 0, 0, 40, 20, 0, 0, -16, 0, 12, 58, 0, -40, 0, 0, -92, 0, 0, 8, -36, 0, 0, -38, 0, 64, 2, 0, 20, 68, 0, 20, 0, 0, 20, -152, 0, 0, -2, 0, -24, 36, 0, -164, 18, 0, 56, 0, 0, -8, -28, 0, 0, -36, 0, -52, -26, 0, -14, 78, 0, 4, 0, 0, 36, 120, 0, 0, 12, 0, -16, -60, 0, 8, -14, 0, -24, 0, 0, 0, 20, 0, 0, -72, 0, -30, -22, 0, 22, 24, 0, 76, 0, 0, -30, -164, 0, 0, 6, 0, 20, -48, 0, -18, 98, 0, 0, 0, 0, 76, -8, 0, 0, -52, 0, 20, 20, 0, 16, 26, 0, 0, 0, 0, 4, 12, 0, 0, -68, 0, -20, 8, 0, -132, 60, 0, 18, 0, 0, 64, -24, 0, 0, -60, 0, 48, -8, 0, 40, 10, 0, 44, 0, 0, 10, 12, 0, 0, -20, 0, -44, -24, 0, 62, -12, 0, 4, 0, 0, -20, 2, 0, 0, 4, 0, -4, -70, 0, -38, -14, 0, 0, 0, 0, -28, 138, 0, 0, -34, 0, -4, -28, 0, 36, -4, 0, 26, 0, 0, 120, 40, 0, 0, -100, 0, -36, -50, 0, 18, 72, 0, -68, 0, 0, -42, 16, 0, 0, 8, 0, 22, -164, 0, 0, -12, 0, 20, 0, 0, 0, -80, 0, 0, 24, 0, -4, -10, 0, -18, 60, 0, 28, 0, 0, -20, -84, 0, 0, -28, 0, 6, 12, 0, -26, 8, 0, -8, 0, 0, 78, 14, 0, 0, -20, 0, 38, 12, 0, -80, -12, 0, -12, 0, 0, 20, -24, 0, 0, 4, 0, 20, -110, 0, -32, -56, 0, -4, 0, 0, 12, 8, 0, 0, -24, 0, 24, -50, 0, 2, 36, 0, 32, 0, 0, -52, -144, 0, 0, -44, 0, -16, -8, 0, 4, -24, 0, 66, 0, 0, 10, 42, 0, 0, 80, 0, -100, 30, 0, -24, 28, 0, 88, 0, 0, -10, -6, 0, 0, 4, 0, -48, -50, 0, -16, 24, 0, 12, 0, 0, -112, 34, 0, 0, -52, 0, 20, 52, 0, 20, 44, 0, -80, 0, 0, 36, -36, 0, 0, -26, 0, 24, 12, 0, 68, 28, 0, -4, 0, 0, 88, 74, 0, 0, 6, 0, 80, -18, 0, 0, -8, 0, 68, 0, 0, -8, -30, 0, 0, 48, 0, -108, -20, 0, 32, -12, 0, 28, 0, 0, -36, 4, 0, 0, 10, 0, -24, -120, 0, 8, -116, 0, -42, 0, 0, 18, -2, 0, 0, 0, 0, -56, 12, 0, -18, 48, 0, 10, 0, 0, -36, -42, 0, 0, -24, 0, 36, 0, 0, -38, -2, 0, 96, 0, 0, 12, 4, 0, 0, 4, 0, -24, -22, 0, -2, 72, 0, 4, 0, 0, 84, 44, 0, 0, -66, 0, -6, 8, 0, 0, 136, 0, 14, 0, 0, 56, 92, 0, 0, -4, 0, -4, -40, 0, -30, 14, 0, 22, 0, 0, 166, 40, 0, 0, -18, 0, 140, 18, 0, 10, 0, 0, 156, 0, 0, 16, -78, 0, 0, -4, 0, 24, -18, 0, 2, 30, 0, -56, 0, 0, -20, 0, 0, 0, -28, 0, 30, -88, 0, -10, -24, 0, 48, 0, 0, 32, -20, 0, 0, -8, 0, -48, -46, 0, 84, 6, 0, -2, 0, 0, 92, -32, 0, 0, 102, 0, 10, -62, 0, -2, 68, 0, 120, 0, 0, 8, 16, 0, 0, -12, 0, -74, 118, 0, 32, -32, 0, 4, 0, 0, -106, -56, 0, 0, 48, 0, 58, 70, 0, -20, -12, 0, -204, 0, 0, -76, 0, 0, 0, -8, 0, 36, 24, 0, 54, 10, 0, -20, 0, 0, 24, -44, 0, 0, -56, 0, 32, 4, 0, 38, 36, 0, -2, 0, 0, 42, 44, 0, 0, 116, 0, 52, 84, 0, -98, -64, 0, -54, 0, 0, -20, -10, 0, 0, -18, 0, 138, -26, 0, -50, -40, 0, 124, 0, 0, 0, -152, 0, 0, 36, 0, 2, -42, 0, -92, 20, 0, 80, 0, 0, -24, 0, 0, 0, -94, 0, -24, -8, 0, -92, -50, 0, 4, 0, 0, -30, -40, 0, 0, -4, 0, 84, -56, 0, 50, -38, 0, 6, 0, 0, -144, 42, 0, 0, -20, 0, 136, -70, 0, 24, 6, 0, -72, 0, 0, 52, -72, 0, 0, -78, 0, -12, -122, 0, 4, -62, 0, 56, 0, 0, 52, 4, 0, 0, -52, 0, 20, 8, 0, 72, -104, 0, 40, 0, 0, -2, -44, 0, 0, 38, 0, -64, -10, 0, 36, -24, 0, -20, 0, 0, 36, -36, 0, 0, -56, 0, -16, 4, 0, 0, 180, 0, -50, 0, 0, -72, 114, 0, 0, -40, 0, -40, 82, 0, 50, -24, 0, 0, 0, 0, 64, -40, 0, 0, 40, 0, -136, -28, 0, -130, 6, 0, 90, 0, 0, -32, 28, 0, 0, 14, 0, -24, 2, 0, -128, -42, 0, -4, 0, 0, -34, -20, 0, 0, 16, 0, -56, -64, 0, -4, 12, 0, 32, 0, 0, 42, -34, 0, 0, 50, 0, 0, -130, 0, -60, 40, 0, 64, 0, 0, 36, 114, 0, 0, 36, 0, 28, 2, 0, -40, 48, 0, 10, 0, 0, 0, -144, 0, 0, -14, 0, 6, 0, 0, -40, 40, 0, 4, 0, 0, 8, 32, 0, 0, 68, 0, 108, 12, 0, -46, 12, 0, -6, 0, 0, 44, 28, 0, 0, -4, 0, 8, -28, 0, 136, 10, 0, 20, 0, 0, 168, -56, 0, 0, 24, 0, 84, 20, 0, 48, 12, 0, -68, 0, 0, -12, 40, 0, 0, 4, 0, -8, -24, 0, -40, 40, 0, 48, 0, 0, -76, 12, 0, 0, 54, 0, -56, 72, 0, 0, -146, 0, -24, 0, 0, 10, -162, 0, 0, 34, 0, 10, -8, 0, 48, -40, 0, -52, 0, 0, -2, -96, 0, 0, -12, 0, -4, 38, 0, -58, -46, 0, -30, 0, 0, 44, 76, 0, 0, -10, 0, 0, -20, 0, -60, 16, 0, 0, 0, 0, 12, -20, 0, 0, 12, 0, 40, -60, 0, -26, -124, 0, -12, 0, 0, -42, 154, 0, 0, -12, 0, -44, -24, 0, -32, 2, 0, 120, 0, 0, -76, -38, 0, 0, -80, 0, -160, 40, 0, 12, -96, 0, 0, 0, 0, 6, 4, 0, 0, 4, 0, -84, 124, 0, -8, -10, 0, -4, 0, 0, -36, 24, 0, 0, -88, 0, 140, -12, 0, 12, 96, 0, 40, 0, 0, 40, -60, 0, 0, -66, 0, 6, -24, 0, 26, -28, 0, -4, 0, 0, 22, 0, 0, 0, 16, 0, 126, 4, 0, -130, 40, 0, -14, 0, 0, 4, 16, 0, 0, 4, 0, -108, -98, 0, -28, -30, 0, 16, 0, 0, 120, -2, 0, 0, 24, 0, -76, -48, 0, -10, 24, 0, -32, 0, 0, 10, 24, 0, 0, 10, 0, 24, -72, 0, 48, -16, 0, -16, 0, 0, -20, 0, 0, 0, 138, 0, -42, 6, 0, -50, 8, 0, -34, 0, 0, 12, -40, 0, 0, 0, 0, 24, -12, 0, 32, 70, 0, 40, 0, 0, -56, -28, 0, 0, 60, 0, 36, 50, 0, 32, 14, 0, -92, 0, 0, -84, 60, 0, 0, -28, 0, -42, 132, 0, 48, 72, 0, 42, 0, 0, -36, 84, 0, 0, 6, 0, -20, -4, 0, 6, 120, 0, -52, 0, 0, -34, -36, 0, 0, 24, 0, 18, 20, 0, 48, 8, 0, -16, 0, 0, 76, 36, 0, 0, -120, 0, -88, 36, 0, 2, -104, 0, -40, 0, 0, 20, 44, 0, 0, -14, 0, 4, 168, 0, 108, 6, 0, 0, 0, 0, 16, -40, 0, 0, 0, 0, -24, -4, 0, -64, -68, 0, 80, 0, 0, 6, -72, 0, 0, -6, 0, 12, 96, 0, -28, 60, 0, -4, 0, 0, -44, -24, 0, 0, -10, 0, 80, 88, 0, -122, 16, 0, 2, 0, 0, -18, 138, 0, 0, 42, 0, 12, -76, 0, -12, 8, 0, 48, 0, 0, 94, 40, 0, 0, -94, 0, 8, -40, 0, 96, -4, 0, 8, 0, 0, 12, -62, 0, 0, -12, 0, 34, -40, 0, -22, -56, 0, 20, 0, 0, 0, 10, 0, 0, 12, 0, 146, -20, 0, -8, 4, 0, 76, 0, 0, -12, 20, 0, 0, -24, 0, 0, 8, 0, -10, -4, 0, 28, 0, 0, 60, 36, 0, 0, 38, 0, 12, -30, 0, 40, 96, 0, 32, 0, 0, -52, -20, 0, 0, 0, 0, -124, 68, 0, 132, -50, 0, 12, 0, 0, 10, 42, 0, 0, 0, 0, 64, 28, 0, -18, -80, 0, -164, 0, 0, -20, -8, 0, 0, -6, 0, 2, 40, 0, -56, 2, 0, -50, 0, 0, 128, 54, 0, 0, -38, 0, -14, 12, 0, 20, -102, 0, -194, 0, 0, 4, -2, 0, 0, 30, 0, -48, -58, 0, 10, -50, 0, 12, 0, 0, 56, -36, 0, 0, 56, 0, 12, -28, 0, -12, -24, 0, -120, 0, 0, 30, -284, 0, 0, 82, 0, -14, -84, 0, 140, 6, 0, 8, 0, 0, -60, -42, 0, 0, 114, 0, 0, 68, 0, -52, 86, 0, -16, 0, 0, -24, 60, 0, 0, -14, 0, -102, 60, 0, 72, 100, 0, 4, 0, 0, 24, 14, 0, 0, 116, 0, 48, 132, 0, 48, -22, 0, -78, 0, 0, -82, 8, 0, 0, -12, 0, 24, 2, 0, -30, -48, 0, 84, 0, 0, 56, 6, 0, 0, -12, 0, -8, 48, 0, -10, -44, 0, 92, 0, 0, 0, 0, 0, 0, -20, 0, -176, -8, 0, 34, 70, 0, -48, 0, 0, -100, 12, 0, 0, 84, 0, 16, 12, 0, -12, 100, 0, -90, 0, 0, -80, 160, 0, 0, -16, 0, 8, -70, 0, 80, 36, 0, -20, 0, 0, 118, -30, 0, 0, 60, 0, -32, -58, 0, 0, -82, 0, 38, 0, 0, -72, 0, 0, 0, 42, 0, -90, -24, 0, 62, -8, 0, 6, 0, 0, -4, -48, 0, 0, 96, 0, 12, -32, 0, 10, 18, 0, 108, 0, 0, 36, -20, 0, 0, 52, 0, 8, 20, 0, -16, -6, 0, -34, 0, 0, 4, -32, 0, 0, 76, 0, 12, 2, 0, -24, 68, 0, -172, 0, 0, 44, 8, 0, 0, 40, 0, -38, -124, 0, 44, 20, 0, -34, 0, 0, 0, 16, 0, 0, -64, 0, 144, 52, 0, -4, 64, 0, -4, 0, 0, 104, 24, 0, 0, -4, 0, 8, 0, 0, 48, 12, 0, -40, 0, 0, 0, 84, 0, 0, -72, 0, -50, 40, 0, -24, -50, 0, 40, 0, 0, 0, 4, 0, 0, 2, 0, 80, 108, 0, -42, 34, 0, 42, 0, 0, -126, 8, 0, 0, 42, 0, -16, -48, 0, -4, -70, 0, -98, 0, 0, 20, 110, 0, 0, -12, 0, -4, -80, 0, 128, -48, 0, 6, 0, 0, 34, -66, 0, 0, 168, 0, -18, -22, 0, 132, 28, 0, -68, 0, 0, 10, 190, 0, 0, -22, 0, -8, 192, 0, -4, -98, 0, 6, 0, 0, -144, -12, 0, 0, 8, 0, 40, -40, 0, 8, 156, 0, -16, 0, 0, -144, 18, 0, 0, 30, 0, -20, 64, 0, 0, 12, 0, -48, 0, 0, 128, -132, 0, 0, -8, 0, 16, 40, 0, 20, 96, 0, 72, 0, 0, -16, 4, 0, 0, 12, 0, 58, 136, 0, -12, -40, 0, 0, 0, 0, -4, -92, 0, 0, -32, 0, 32, 8, 0, -36, -152, 0, 100, 0, 0, -38, -62, 0, 0, 64, 0, 2, 144, 0, -120, 20, 0, 68, 0, 0, -92, 20, 0, 0, 56, 0, -56, 20, 0, -152, 0, 0, -16, 0, 0, -2, 68, 0, 0, -24, 0, 36, 20, 0, 48, -164, 0, 18, 0, 0, -64, 56, 0, 0, -10, 0, 54, -8, 0, -28, 30, 0, -188, 0, 0, -36, -128, 0, 0, -52, 0, -26, 52, 0, -10, -14, 0, 78, 0, 0, -62, 4, 0, 0, 130, 0, 96, 36, 0, 120, 48, 0, -32, 0, 0, 12, 2, 0, 0, -16, 0, -60, 34, 0, -60, 8, 0, -14, 0, 0, 32, -24, 0, 0, -126, 0, 20, 0, 0, 20, 34, 0, -144, 0, 0, -72, -12, 0, 0, -30, 0, -22, 40, 0, 88, 22, 0, 24, 0, 0, 120, 76, 0, 0, 28, 0, -54, -30, 0, -164, -88, 0, 88, 0, 0, 6, 192, 0, 0, 20, 0, -48, 112, 0, -132, -18, 0, 98, 0, 0, -84, 0, 0, 0, -40, 0, -180, 76, 0, -8, -16, 0, -84, 0, 0, -52, 48, 0, 0, 20, 0, 20, -52, 0, 68, 16, 0, 26, 0, 0, 28, 0, 0, 0, -32, 0, 140, 4, 0, 12, 118, 0, -36, 0, 0, -68, 42, 0, 0, -20, 0, 8, 114, 0, -66, -132, 0, 60, 0, 0, 56, 18, 0, 0, 20, 0, 156, 64, 0, -24, 8, 0, -56, 0, 0, -60, 36, 0, 0, 48, 0, -8, 22, 0, 118, 40, 0, 10, 0, 0, 26, 44, 0, 0, 120, 0, 220, 10, 0, 12, 0, 0, 24, 0, 0, -20, -46, 0, 0, -44, 0, -24, 110, 0, 12, 62, 0, -12, 0, 0, -144, 4, 0, 0, 92, 0, -118, -20, 0, 2, -148, 0, 76, 0, 0, 4, 8, 0, 0, -4, 0, -70, 44, 0, -26, -38, 0, -14, 0, 0, -116, 0, 0, 0, -30, 0, 0, -28, 0, 138, 56, 0, -72, 0, 0, -34, -96, 0, 0, -4, 0, -28, 22, 0, 48, 36, 0, -4, 0, 0, -20, 26, 0, 0, 14, 0, 98, 120, 0, 40, -184, 0, 40, 0, 0, -100, 72, 0, 0, -36, 0, -50, -32, 0, -60, 18, 0, 72, 0, 0, -56, -68, 0, 0, -232, 0, -10, -42, 0, 16, 30, 0, 32, 0, 0, 8, -4, 0, 0, 22, 0, -164, 126, 0, -56, 0, 0, -12, 0, 0, -56, 20, 0, 0, 154, 0, 80, 0, 0, -80, -8, 0, 162, 0, 0, 24, 0, 0, 0, -4, 0, -10, 10, 0, 164, -18, 0, 60, 0, 0, 24, 28, 0, 0, -86, 0, -76, -20, 0, -84, -120, 0, -48, 0, 0, -28, 180, 0, 0, 6, 0, 12, -48, 0, -28, -26, 0, 8, 0, 0, 60, -8, 0, 0, -28, 0, 100, 78, 0, 14, -62, 0, -68, 0, 0, -20, 28, 0, 0, 38, 0, 12, -30, 0, 8, -80, 0, -12, 0, 0, 136, -12, 0, 0, 72, 0, 64, 20, 0, -24, 104, 0, -80, 0, 0, 4, 36, 0, 0, 20, 0, -110, -56, 0, 30], "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.ee", "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, 0], [1, 0], [1, 0], [0, 0], [1, 0], [0, 0], [0, 0], [1, 0], [1, 0], [0, 0], [0, 0], [2, 0], [0, 0], [1, -1], [1, 0], [0, 0], [1, 0], [1, -2], [0, 0], [3, 0], [0, 0], [0, 0], [2, 0], [-2, -1], [0, 0], [0, 0], [1, -1], [0, 0], [1, 0], [5, 1], [0, 0], [0, 2], [1, 0], [0, 0], [1, -2], [0, 0], [0, 0], [-2, -3], [3, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, -1], [2, 0], [0, 0], [-2, -1], [-1, 3], [0, 0], [1, 0], [0, 0], [0, 0], [1, -1], [3, 1], [0, 0], [0, 0], [1, 0], [0, 0], [5, 1], [6, 2], [0, 0], [-7, -1], [0, 2], [0, 0], [1, 0], [0, 0], [0, 0], [6, 3], [1, -2], [0, 0], [0, 0], [-4, 2], [0, 0], [2, 2], [-2, -3], [0, 0], [3, 0], [2, 0], [0, 0], [-5, 3], [0, 0], [0, 0], [4, 0], [0, -1], [0, 0], [0, 0], [0, -1], [0, 0], [2, 0], [5, 0], [0, 0], [1, -1], [-2, -1], [0, 0], [-1, 3], [0, 0], [0, 0], [-2, 3], [1, 0], [0, 0], [0, 0]]}