# Stored data for newform 9450.2.a.cs, downloaded from the LMFDB on 24 April 2024. {"label": "9450.2.a.cs", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 71, "hecke_orbit_code": 315251973949498602, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 15079835773493918, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [-3, 1]], [13, [1, 1]], [17, [-1, 1]], [19, [2, 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": "0.008", "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": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.057", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.185", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/cs"], "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, 1, 0, -2, 0, 0, 3, -7, 0, 0, -1, 0, -1, -5, 0, -5, 1, 0, 1, 0, 0, 2, -2, 0, 0, 6, 0, -5, 3, 0, -7, -1, 0, 1, 0, 0, -1, -12, 0, 0, -1, 0, -5, 4, 0, -12, -5, 0, 1, 0, 0, 4, 1, 0, 0, -6, 0, -2, 2, 0, -2, -3, 0, 5, 0, 0, 6, 0, 0, 0, -5, 0, 3, 10, 0, 1, -7, 0, -1, 0, 0, -18, 1, 0, 0, 9, 0, -10, -1, 0, -12, 2, 0, -4, 0, 0, -1, -7, 0, 0, -5, 0, 4, -1, 0, -2, -12, 0, -5, 0, 0, 20, 1, 0, 0, 1, 0, 2, 4, 0, 1, -2, 0, 16, 0, 0, -6, -3, 0, 0, -2, 0, 2, -9, 0, -15, -2, 0, -3, 0, 0, 9, 5, 0, 0, 7, 0, -9, 6, 0, 0, -12, 0, -12, 0, 0, -5, -24, 0, 0, 3, 0, 10, -4, 0, 2, 1, 0, -7, 0, 0, 3, -1, 0, 0, -10, 0, 16, -18, 0, 1, -2, 0, 3, 0, 0, 9, 5, 0, 0, -10, 0, -1, -6, 0, 24, -12, 0, 2, 0, 0, 5, -4, 0, 0, -1, 0, 26, -1, 0, -7, 6, 0, -14, 0, 0, -5, -26, 0, 0, 4, 0, -1, -20, 0, 21, -2, 0, -12, 0, 0, 2, -5, 0, 0, -5, 0, -21, 20, 0, 1, 21, 0, -2, 0, 0, 1, 0, 0, 0, 2, 0, 4, 25, 0, 24, 1, 0, -2, 0, 0, -22, 16, 0, 0, 18, 0, 4, -6, 0, -3, -6, 0, -16, 0, 0, -2, -18, 0, 0, 2, 0, -9, 7, 0, 5, -15, 0, -2, 0, 0, -29, -3, 0, 0, -18, 0, -2, 9, 0, 5, -20, 0, -15, 0, 0, 7, -2, 0, 0, -9, 0, 6, 1, 0, 2, 0, 0, -12, 0, 0, 8, -12, 0, 0, -15, 0, -1, -5, 0, -24, -18, 0, 0, 0, 0, 3, -21, 0, 0, 10, 0, -4, -22, 0, -15, 2, 0, 1, 0, 0, -22, -7, 0, 0, 12, 0, 13, 3, 0, -1, 5, 0, -8, 0, 0, -10, -15, 0, 0, 16, 0, -18, -33, 0, -7, 1, 0, -2, 0, 0, 23, 3, 0, 0, -36, 0, 5, 9, 0, 5, 6, 0, -17, 0, 0, -10, -4, 0, 0, -1, 0, -6, 13, 0, 22, 24, 0, -12, 0, 0, 12, 2, 0, 0, 28, 0, 26, 5, 0, -4, 14, 0, 8, 0, 0, -1, 18, 0, 0, 26, 0, -1, 28, 0, 18, -7, 0, 6, 0, 0, 4, -14, 0, 0, 2, 0, -34, -5, 0, -26, -26, 0, -4, 0, 0, 4, -15, 0, 0, -1, 0, -20, 6, 0, -2, 21, 0, -2, 0, 0, 8, -12, 0, 0, -24, 0, -5, 2, 0, -5, 6, 0, -32, 0, 0, -5, -35, 0, 0, -21, 0, 20, -5, 0, 2, 1, 0, 21, 0, 0, -3, -2, 0, 0, 30, 0, 41, 1, 0, 0, -5, 0, 26, 0, 0, 2, -6, 0, 0, 4, 0, 25, 3, 0, 38, 24, 0, 1, 0, 0, -37, -2, 0, 0, 10, 0, -5, -22, 0, 16, 2, 0, 5, 0, 0, 18, -16, 0, 0, 4, 0, -6, -24, 0, 44, -3, 0, -6, 0, 0, -32, -16, 0, 0, 0, 0, -36, -2, 0, -18, -8, 0, 10, 0, 0, 2, -3, 0, 0, -9, 0, 7, -18, 0, 17, 5, 0, -15, 0, 0, 34, -2, 0, 0, 1, 0, -9, -29, 0, -3, 47, 0, 10, 0, 0, -18, -10, 0, 0, -2, 0, 9, 2, 0, -12, 5, 0, -20, 0, 0, -1, -15, 0, 0, 44, 0, 35, 7, 0, -2, -24, 0, 12, 0, 0, -9, -6, 0, 0, 6, 0, 1, 36, 0, -20, 2, 0, 0, 0, 0, 35, -12, 0, 0, -36, 0, -44, 8, 0, -12, -20, 0, 18, 0, 0, -15, 40, 0, 0, -1, 0, -5, 12, 0, 22, -24, 0, -18, 0, 0, 6, 0, 0, 0, -5, 0, -4, 3, 0, -21, -9, 0, 0, 0, 0, 10, 35, 0, 0, -4, 0, -22, 40, 0, 10, -15, 0, 2, 0, 0, -28, 1, 0, 0, -5, 0, 22, -22, 0, -7, 12, 0, 46, 0, 0, 12, -9, 0, 0, 13, 0, 3, -2, 0, 13, -1, 0, 5, 0, 0, -27, -8, 0, 0, -28, 0, 4, -10, 0, -15, -4, 0, 31, 0, 0, 16, 6, 0, 0, -18, 0, -33, -12, 0, -18, -7, 0, 1, 0, 0, 3, -2, 0, 0, 7, 0, 12, 23, 0, 3, -2, 0, -1, 0, 0, -36, -6, 0, 0, 5, 0, 9, -4, 0, -30, 5, 0, 6, 0, 0, 10, -17, 0, 0, -30, 0, 36, -10, 0, -4, -34, 0, 16, 0, 0, -1, 1, 0, 0, -6, 0, 13, 10, 0, -4, 22, 0, 24, 0, 0, 2, -12, 0, 0, -14, 0, 7, 12, 0, 2, 2, 0, -6, 0, 0, 28, 31, 0, 0, 26, 0, 5, 15, 0, -4, -4, 0, 14, 0, 0, 41, 8, 0, 0, -6, 0, -4, -1, 0, 18, -9, 0, -20, 0, 0, 26, 2, 0, 0, -1, 0, 28, 25, 0, -12, 18, 0, -7, 0, 0, 31, 6, 0, 0, -20, 0, 0, 4, 0, -14, -1, 0, 53, 0, 0, 2, 6, 0, 0, -34, 0, -5, 6, 0, -2, -26, 0, -26, 0, 0, 20, -4, 0, 0, 55, 0, -42, 4, 0, -15, -36, 0, 2, 0, 0, -1, 15, 0, 0, -20, 0, 6, 2, 0, -6, -2, 0, 21, 0, 0, -2, -2, 0, 0, 27, 0, -16, 8, 0, -12, -27, 0, 30, 0, 0, -24, 1, 0, 0, -5, 0, 2, 35, 0, 19, -5, 0, 6, 0, 0, 5, -32, 0, 0, 3, 0, 4, -5, 0, -35, 24, 0, 13, 0, 0, -21, 10, 0, 0, 20, 0, -5, -3, 0, -36, 2, 0, 1, 0, 0, -5, 21, 0, 0, 14, 0, -28, -3, 0, -2, -12, 0, 55, 0, 0, 30, 9, 0, 0, 41, 0, 1, -36, 0, 14, 0, 0, -5, 0, 0, 15, 26, 0, 0, -10, 0, 54, 2, 0, -6, -54, 0, 32, 0, 0, 4, -10, 0, 0, 25, 0, 3, 0, 0, 7, 38, 0, 24, 0, 0, 20, 1, 0, 0, -44, 0, -43, -37, 0, -2, 33, 0, -9, 0, 0, 10, 8, 0, 0, -5, 0, -22, -66, 0, 27, 16, 0, 2, 0, 0, -21, 5, 0, 0, -8, 0, -37, 18, 0, -16, -7, 0, 22, 0, 0, 4, -30, 0, 0, -6, 0, -24, 4, 0, 9, 44, 0, -3, 0, 0, -10, -6, 0, 0, 66, 0, 10, -32, 0, -16, -10, 0, 24, 0, 0, 0, -24, 0, 0, -36, 0, -2, 12, 0, 16, -18, 0, -8, 0, 0, 6, 10, 0, 0, -3, 0, 12, 2, 0, -3, -4, 0, -30, 0, 0, -9, 10, 0, 0, 7, 0, -18, -12, 0, 50, 17, 0, 5, 0, 0, -6, -15, 0, 0, 24, 0, -21, 34, 0, -2, -46, 0, 84, 0, 0, 1, -16, 0, 0, -9, 0, -29, -43, 0, 64, -3, 0, 47, 0, 0, -30, 10, 0, 0, -2, 0, -21, -18, 0, -10, 25, 0, -42, 0, 0, -2, 4, 0, 0, 9, 0, 2, 69, 0, 18, -12, 0, 5, 0, 0, -2, -20, 0, 0, -30, 0, -8, -1, 0, -15, -10, 0, 15, 0, 0, 44, 34, 0, 0, 35, 0, 7, -12, 0, -4, -2, 0, -24, 0, 0, -40, 12, 0, 0, -31, 0, -6, -9, 0, -6, 18, 0, -3, 0, 0, 6, -9, 0, 0, 1, 0, 36, -58, 0, 23, -20, 0, 2, 0, 0, -42, 0, 0, 0, -39, 0, 25, 35, 0, -12, 10, 0, 10, 0, 0, -36, 5, 0, 0, -44, 0, 8, 12, 0, -16, -12, 0, -20, 0, 0, -28, 18, 0, 0, 54, 0, 5, -15, 0, 40, 27, 0, -33, 0, 0, -1, -20, 0, 0, -5, 0, 12, 2, 0, 40, 22, 0, -24, 0, 0, 4, -18, 0, 0, -2, 0, -3, 6, 0, 0, 60, 0, 47, 0, 0, -5, 84, 0, 0, -4, 0, 3, -66, 0, 0, -21, 0, -9, 0, 0, 4, 0, 0, 0, -5, 0, 18, 10, 0, 35, -16, 0, -48, 0, 0, -4, -39, 0, 0, -22, 0, 40, 70, 0, 3, 10, 0, -15, 0, 0, 50, 2, 0, 0, -69, 0, 46, -28, 0, 1, 5, 0, 36, 0, 0, -5, 6, 0, 0, 22, 0, -22, 7, 0, -55, -7, 0, 12, 0, 0, -24, 46, 0, 0, 30, 0, -52, 12, 0, -9, 48, 0, -65, 0, 0, 13, -30, 0, 0, 3, 0, -2, -36, 0, -10, 13, 0, -1, 0, 0, -6, 5, 0, 0, 30, 0, 10, -27, 0, -8, 12, 0, -5, 0, 0, -28, 30, 0, 0, 4, 0, -10, 48, 0, 40, -15, 0, -4, 0, 0, 60, 31, 0, 0, -28, 0, -26, 16, 0, 6, 1, 0, -18, 0, 0, -18, 18, 0, 0, -33, 0, -12, 6, 0, -26, -18, 0, -7, 0, 0, 2, 1, 0, 0, 45, 0, 2, 3, 0, -2, 0, 0, -30, 0, 0, 7, 33, 0, 0, 12, 0, 23, -6, 0, -10, 3, 0, -2, 0, 0, 1, -1, 0, 0, 24, 0, 14, -36, 0, -6, 64, 0, -70, 0, 0, 5, 78, 0, 0, 9, 0, -4, -37, 0, -28, -30, 0, 5, 0, 0, -35, 6, 0, 0, 26, 0, 42, 10, 0, -17, 24, 0, -27, 0, 0, -30, 60, 0, 0, 36, 0, -10, -18, 0, -20, -4, 0, -34, 0, 0, 16, 16, 0, 0, -45, 0, -52, -1, 0, 1, -30, 0, -8, 0, 0, -6, 20, 0, 0, 13, 0, 10, 14, 0, -5, -4, 0, 22, 0, 0, -21, 24, 0, 0, -20, 0, 19, 2, 0, -12, 19, 0, 4, 0, 0, -14, -1, 0, 0, 7, 0, 12, 66, 0, -20, 2, 0, 2, 0, 0, 9, -6, 0, 0, -4, 0, -9, 28, 0, 31, 27, 0, -2, 0, 0, 26, -30, 0, 0, 5, 0, 15, -2, 0, 40, -4, 0, -4, 0, 0, 69, 14, 0, 0, -10, 0, -52, 41, 0, 8, 5, 0, -25, 0, 0, -6, -30, 0, 0, -4, 0, -1, 60, 0, 21, 18, 0, -9, 0, 0, 36, -20, 0, 0, 2, 0, 84, 26, 0, 2, -12, 0, 64, 0, 0, -1, -27, 0, 0, 28, 0, 25, -21, 0, -55, -12, 0, 18, 0, 0, -16, -7, 0, 0, -27, 0, 2, 31, 0, 6, -35, 0, 2, 0, 0, -20, -57, 0, 0, 0, 0, 4, -20, 0, 67, -14, 0, -1, 0, 0, -36, 53, 0, 0, 0, 0, 36, 2, 0, 6, 73, 0, -18, 0, 0, -34, -4, 0, 0, -5, 0, 6, -36, 0, 56, -2, 0, -26, 0, 0, -5, -26, 0, 0, 12, 0, 70, 20, 0, -4, 36, 0, -61, 0, 0, 55, -25, 0, 0, -42, 0, 4, -54, 0, 60, -15, 0, -36, 0, 0, -24, 2, 0, 0, 69, 0, -72, -1, 0, 15, -6, 0, 0, 0, 0, -20, 39, 0, 0, 6, 0, 2, -18, 0, -7, -6, 0, -2, 0, 0, -6, 21, 0, 0, -32, 0, -14, -2, 0, -2, 9, 0, 22, 0, 0, 27, -20, 0, 0, -16, 0, 8, -70, 0, -56, -12, 0, -27, 0, 0, 20, 30, 0, 0, -24, 0, 15, -24, 0, 1, -18, 0, -12, 0, 0, -5, 88, 0, 0, 2, 0, 35, -21, 0, -4, 19, 0, -5, 0, 0, -8, 6, 0, 0, 6, 0, 40, 5, 0, -32, 8, 0, -45, 0, 0, 3, 66, 0, 0, 4, 0, -5, 6, 0, 64, -35, 0, 24, 0, 0, -22, 13, 0, 0, 5, 0, 16, -21, 0, 10, 40, 0, -58, 0, 0, 20, -4, 0, 0, -5, 0, -3, -48, 0, -9, -36, 0, 2, 0, 0, -70, 1, 0, 0, 18, 0, 17, -5, 0, 21, -2, 0, 30, 0, 0, 14, 49, 0, 0, -28, 0, -3, 54, 0, 8, -2, 0, -12, 0, 0, -20, 55, 0, 0, -60, 0, 3, 30, 0, 9, 21, 0, 11, 0, 0, 41, -7, 0, 0, 1, 0, -36, 57, 0, -30, 14, 0, 0, 0, 0, -5, -5, 0, 0, 68, 0, 62, 15, 0, 26, 10, 0, 9, 0, 0, -10, 48, 0, 0, 54, 0, 2, -6, 0, 22, -6, 0, -54, 0, 0, -4, 32, 0, 0, -65, 0, 16, 4, 0, -10, 14, 0, 29, 0, 0, 25, 73, 0, 0, 3, 0, 0, 20, 0, -31, 7, 0, 38, 0, 0, -6, 24, 0, 0, 12, 0, -72, 20, 0, 1, 18, 0, 16, 0, 0, -44, 8, 0, 0, -43, 0, -37, 9, 0, 2, -2, 0, 33, 0, 0, 25, -9, 0, 0, 30, 0, 20, 10, 0, 8, 69, 0, -46, 0, 0, -5, 62, 0, 0, -22, 0, -66, 20, 0, -68, 27, 0, 16, 0, 0, 1, 2, 0, 0, 126, 0, 15, -21, 0, 5, -78, 0, -35, 0, 0, -8, -18, 0, 0, -37, 0, 18, 24, 0, -26, -16, 0, -7, 0, 0, -24, 22, 0, 0, 2, 0, 10, 4, 0, -30, 26, 0, -66, 0, 0, -6, 50, 0, 0, -24, 0, 4, 60, 0, -29, 9, 0, 44, 0, 0, 58, -3, 0, 0, -25, 0, -43, -10, 0, -6, -23, 0, 4, 0, 0, 66, -1, 0, 0, 10, 0, -32, -66, 0, 31, -16, 0, -10, 0, 0, -2, 24, 0, 0, 72, 0, -63, 0, 0, -24, 4, 0, -2, 0, 0, -36, 12, 0, 0, -2, 0, 12, 41, 0, 74, 16, 0, -18, 0, 0, -12, -8, 0, 0, -72, 0, -2, 6, 0, 10, 68, 0, -8, 0, 0, -3, 16, 0, 0, 12, 0, 2, 70, 0, -30, -3, 0, -4, 0, 0, 2, -30, 0, 0, -41, 0, 30, -9, 0, 10, 15, 0, -82, 0, 0, 7, -29, 0, 0, -18, 0, -12, -16, 0, 1, 50, 0, 17, 0, 0, 0, 5, 0, 0, 9, 0, -40, -6, 0, -15, 3, 0, 24, 0, 0, 24, -75, 0, 0, -21, 0, 34, 18, 0, -3, -2, 0, -46, 0, 0, -66, 84, 0, 0, 24, 0, 0, 1, 0, -16, -56, 0, -25, 0, 0, -9, 78, 0, 0, -29, 0, -43, -59, 0, -14, 64, 0, -3, 0, 0, 23, 47, 0, 0, 21, 0, 66, -30, 0, 10, 34, 0, 8, 0, 0, -2, 10, 0, 0, -21, 0, -18, -2, 0, 12, -10, 0, 25, 0, 0, 18, -42, 0, 0, -72, 0, -26, -2, 0, 4, 28, 0, -16, 0, 0, 9, 22, 0, 0, 2, 0, 69, -42, 0, -69, 18, 0, -12, 0, 0, 15, 5, 0, 0, 9, 0, -9, -2, 0, -20, -20, 0, 62, 0, 0, -30, -21, 0, 0, -8, 0, -1, 6, 0, 4, -15, 0, -10, 0, 0, 77, 15, 0, 0, 2, 0, -78, 44, 0, 34, -15, 0, 22, 0, 0, 35, 0, 0, 0, 7, 0, -12, 73, 0, -50, -4, 0, -2, 0, 0, -3, -24, 0, 0, 30, 0, -78, -40, 0, 12, -12, 0, 49, 0, 0, -31, 4, 0, 0, -6, 0, -9, 56, 0, -13, -6, 0, 18, 0, 0, 44, -3, 0, 0, -9, 0, 60, 6, 0, -9, -12, 0, -60, 0, 0, 1, -77, 0, 0, 36, 0, -58, -5, 0, -32, 23, 0, -20, 0, 0, -48, 2, 0, 0, 63, 0, 8, -42, 0, 0, -45, 0, 50, 0, 0, -39, -93, 0, 0, 25, 0, 35, 9, 0, -80, -12, 0, 10, 0, 0, 58, 10, 0, 0, 15, 0, 43, -36, 0, 5, 63, 0, 5, 0, 0, -44, -96, 0, 0, 8, 0, 12, -76, 0, -4, -16, 0, -12, 0, 0, -13, -20, 0, 0, -18, 0, -102, -28, 0, 18, 6, 0, 16, 0, 0, 54, 33, 0, 0, 5, 0, -15, -70, 0, -40, 40, 0, 27, 0, 0, 7, -33, 0, 0, 37, 0, -24, -1, 0, -20, 24, 0, -60, 0, 0, -5, 83, 0, 0, 12, 0, 2, -50, 0, -15, 40, 0, 22, 0, 0, -84, -24, 0, 0, -9, 0, -4, 4, 0, -18, -9, 0, -23, 0, 0, -2, 14, 0, 0, -3, 0, 6, -6, 0, -52, 0, 0, 60, 0, 0, 81, 47, 0, 0, -42, 0, 28, -5, 0, 84, 36, 0, 91, 0, 0, -4, 90, 0, 0, 3, 0, -66, 27, 0, -5, 0, 0, -21, 0, 0, 63, -9, 0, 0, 18, 0, 18, 4, 0, 0, 42, 0, -12, 0, 0, -5, 74, 0, 0, 18, 0, 10, -6, 0, -36, 35, 0, -16, 0, 0, -74, -48, 0, 0, 6, 0, 17, -4, 0, -39, 12, 0, 30, 0, 0, -22, -12, 0, 0, 40, 0, 70, -60, 0, -20, 3, 0, 10, 0, 0, -26, -15, 0, 0, 4, 0, 0, 50, 0, 2, -42, 0, -26, 0, 0, -69, -3, 0, 0, 46, 0, -28, 27, 0, -36, 1, 0, 5, 0, 0, -2, 36, 0, 0, -140, 0, 10, -5, 0, 6, 17, 0, -45, 0, 0, 22, -13, 0, 0, -22, 0, 7, -17, 0, -24, -55, 0, -7, 0, 0, -22, 12, 0, 0, -6, 0, -30, -24, 0, 46, 18, 0, 75, 0, 0, 30, -50, 0, 0, -52, 0, 12, -78, 0, 18, -9, 0, 48, 0, 0, 14, -65, 0, 0, 72, 0, -18, 13, 0, -30, 50, 0, -12, 0, 0, 3, -12, 0, 0, -2, 0, -36, 44, 0, -49, -10, 0, 13, 0, 0, 90, -1, 0, 0, 83, 0, -7, -6, 0, 5, -28, 0, 64, 0, 0, 30, -108, 0, 0, 10, 0, -27, 26, 0, -26, -8, 0, 12, 0, 0, 35, -5, 0, 0, 36, 0, -4, -28, 0, 30, -66, 0, -17, 0, 0, 4, 30, 0, 0, -10, 0, 48, -14, 0, -14, 40, 0, -15, 0, 0, -37, -4, 0, 0, 0, 0, -8, 60, 0, 31, 2, 0, -56, 0, 0, -28, -20, 0, 0, -26, 0, 16, 24, 0, 54, 6, 0, 1, 0, 0, 18, -18, 0, 0, -18, 0, -10, -18, 0, 18, 20, 0, 44, 0, 0, -33, 12, 0, 0, -12, 0, 6, 40, 0, -71, -26, 0, -18, 0, 0, -48, -7, 0, 0, -45, 0, -21, 2, 0, 1, -42, 0, 10, 0, 0, 45, -28, 0, 0, 2, 0, 3, -4, 0, 14, -2, 0, 0, 0, 0, -18, -30, 0, 0, 20, 0, -33, 7, 0, 33, -19, 0, -25, 0, 0, 12, 24, 0, 0, 23, 0, -6, -48, 0, -74, -10, 0, 3, 0, 0, 52, -2, 0, 0, -110, 0, 50, 1, 0, -1, -112, 0, -4, 0, 0, 24, 14, 0, 0, 14, 0, -36, 48, 0, 24, -6, 0, 64, 0, 0, 58, -70, 0, 0, -103, 0, -54, 5, 0, 78, -2, 0, -86, 0, 0, 9, 144, 0, 0, -4, 0, -37, 30, 0, 34, -28, 0, -30, 0, 0, -10, 5, 0, 0, 24, 0, 87, -35, 0, 6, 57, 0, -12, 0, 0, 26, 5, 0, 0, 42, 0, 10, 26, 0, -80, -17, 0, 24, 0, 0, 35, -27, 0, 0, 16, 0, 4, -30, 0, 60, 48, 0, 21, 0, 0, 36, 20, 0, 0, -10, 0, -18, -29, 0, -44, -20, 0, -4, 0, 0, 40, -34, 0, 0, 15, 0, 78, 16, 0, 16, -10, 0, 113, 0, 0, -45, 26, 0, 0, -52, 0, -1, 0, 0, 112, 1, 0, -30, 0, 0, 6, -8, 0, 0, -21, 0, 82, -6, 0, 20, -96, 0, -2, 0, 0, 13, -6, 0, 0, 10, 0, 14, -66, 0, -5, -5, 0, -4, 0, 0, 2, 22, 0, 0, -33, 0, -111, -21, 0, 24, -87, 0, 20, 0, 0, -20, 3, 0, 0, 19, 0, 2, 2, 0, 20, -12, 0, 19, 0, 0, -25, 4, 0, 0, 8, 0, 0, -14, 0, -1, 88, 0, -8, 0, 0, 7, 30, 0, 0, 12, 0, 66, 0, 0, -54, -20, 0, 2, 0, 0, 63, 2, 0, 0, 2, 0, -64, 9, 0, -6, 24, 0, -4, 0, 0, -4, -6, 0, 0, -9, 0, 28, 44, 0, 5, 31, 0, 27, 0, 0, -58, -2, 0, 0, 86, 0, 84, 26, 0, -30, -102, 0, -14, 0, 0, 5, 105, 0, 0, 15, 0, -2, -6, 0, -43, 40, 0, -4, 0, 0, -60, -4, 0, 0, -72, 0, 32, 69, 0, 14, -25, 0, -60, 0, 0, -10, 35, 0, 0, -52, 0, 41, 10, 0, -75, 8, 0, 5, 0, 0, -54, -25, 0, 0, 35, 0, -24, -6, 0, -30, -96, 0, -71, 0, 0, -4, 50, 0, 0, -1, 0, 60, 97, 0, 76, 21, 0, 18, 0, 0, -23, -9, 0, 0, -48, 0, -6, 36, 0, -20, 4, 0, -91, 0, 0, 2, 5, 0, 0, 84, 0, 26, 0, 0, 52, 2, 0, -12, 0, 0, -2, 64, 0, 0, -18, 0, -16, -1, 0, -27, 24, 0, -36, 0, 0, 28, -111, 0, 0, 25, 0, -21, -48, 0, 22, -55, 0, -12, 0, 0, -40, 18, 0, 0, -63, 0, 93, -16, 0, -7, -78, 0, 3, 0, 0, -27, -73, 0, 0, 2, 0, 31, 20, 0, -41, 6, 0, -35, 0, 0, 70, 2, 0, 0, 6, 0, 35, -20, 0, -57, -30, 0, 60, 0, 0, 0, -18, 0, 0, 4, 0, -20, -19, 0, -41, 67, 0, -14, 0, 0, -32, -1, 0, 0, -6, 0, -52, -36, 0, 53, -50, 0, -4, 0, 0, 0, -100, 0, 0, 36, 0, 2, 5, 0, -6, 6, 0, 73, 0, 0, -22, -18, 0, 0, 86, 0, -26, -34, 0, -4, 24, 0, -44, 0, 0, -5, -5, 0, 0, 6, 0, -36, 14, 0, 83, 56, 0, -2, 0, 0, 92, -26, 0, 0, 6, 0, 5, -5, 0, -26, 18, 0, 22, 0, 0, 12, 4, 0, 0, 70, 0, 20, 63, 0, 10, -4, 0, 36, 0, 0, 16, -61, 0, 0, -106, 0, 72, 55, 0, -25, -12, 0, -19, 0, 0, -42, -3, 0, 0, 4, 0, -54, 27, 0, -6, 60, 0, -15, 0, 0, -38, -36, 0, 0, 26, 0, 64, -24, 0, 2, -36, 0, -5, 0, 0, 69, -16, 0, 0, -72, 0, -1, 18, 0, -20, 15, 0, -6, 0, 0, -54, 0, 0, 0, 77, 0, 18, -20, 0, 39, -50, 0, 37, 0, 0, 6, -66, 0, 0, 2, 0, -18, 0, 0, 84, -7, 0, -6, 0, 0, 62, -2, 0, 0, 15, 0, 78, -6, 0, 21, -10, 0, 6, 0, 0, -32, 11, 0, 0, -14, 0, -2, 24, 0, 5, -2, 0, 9, 0, 0, 26, 22, 0, 0, -100, 0, -63, 27, 0, -20, 84, 0, -86, 0, 0, -16, -14, 0, 0, 8, 0, -70, -2, 0, 0, -56, 0, -12, 0, 0, -76, -27, 0, 0, 68, 0, -5, 20, 0, 30, 42, 0, -7, 0, 0, -24, -66, 0, 0, 15, 0, -24, 120, 0, -96, 1, 0, -18, 0, 0, -100, -12, 0, 0, 16, 0, -38, -5, 0, 88, -114, 0, -66, 0, 0, 2, 16, 0, 0, 35, 0, -21, 4, 0, -26, -4, 0, 19, 0, 0, -38, -5, 0, 0, -45, 0, 10, -8, 0, 6, -108, 0, 168, 0, 0, 6, 24, 0, 0, 40, 0, 5, -54, 0, 29, -32, 0, 8, 0, 0, -44, -45, 0, 0, 26, 0, -45, 3, 0, 66, 24, 0, -48, 0, 0, 4, 6, 0, 0, -5, 0, 6, -97, 0, 2, 64, 0, -35, 0, 0, -48, 24, 0, 0, -80, 0, -8, -22, 0, 13, -66, 0, 32, 0, 0, 5, 18, 0, 0, 16, 0, -21, 24, 0, 54, 10, 0, 40, 0, 0, 32, -58, 0, 0, -5, 0, -20, 20, 0, -4, 0, 0, 2, 0, 0, -5, -93, 0, 0, -3, 0, -48, -10, 0, 36, -9, 0, -36, 0, 0, -48, 2, 0, 0, -16, 0, -41, -70, 0, 1, 21, 0, 98, 0, 0, 18, 39, 0, 0, 17, 0, -5, 8, 0, 32, 21, 0, -2, 0, 0, 28, 30, 0, 0, 20, 0, -10, 14, 0, 49, 33, 0, 9, 0, 0, -28, -28, 0, 0, -3, 0, 54, -71, 0, 54, 8, 0, -2, 0, 0, 15, -12, 0, 0, 3, 0, 26, -20, 0, 55, -92, 0, -15, 0, 0, -60, -14, 0, 0, 3, 0, 30, -24, 0, 90, 9, 0, 21, 0, 0, -2, 11, 0, 0, -14, 0, -10, 41, 0, -7, -60, 0, -24, 0, 0, 1, 18, 0, 0, -36, 0, 57, 2, 0, 37, -30, 0, 14, 0, 0, -17, 0, 0, 0, 33, 0, -45, -5, 0, -5, 41, 0, 6, 0, 0, 68, -60, 0, 0, 62, 0, 15, 75, 0, -13, 26, 0, 10, 0, 0, -52, 9, 0, 0, -2, 0, -72, -10, 0, 48, 10, 0, -34, 0, 0, 54, 100, 0, 0, 2, 0, -6, 44, 0, -124, 22, 0, -6, 0, 0, -5, -54, 0, 0, 74, 0, 40, -4, 0, 32, -1, 0, -99, 0, 0, -65, -106, 0, 0, 16, 0, 4, 90, 0, 9, -10, 0, 14, 0, 0, -58, 29, 0, 0, -21, 0, -2, 25, 0, 73, -8, 0, -80, 0, 0, 3, -12, 0, 0, 0, 0, 20, -47, 0, 45], "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": "1890.2.g.f", "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], [1], [0], [-2], [0], [0], [3], [-7], [0], [0], [-1], [0], [-1], [-5], [0], [-5], [1], [0], [1], [0], [0], [2], [-2], [0], [0], [6], [0], [-5], [3], [0], [-7], [-1], [0], [1], [0], [0], [-1], [-12], [0], [0], [-1], [0], [-5], [4], [0], [-12], [-5], [0], [1], [0], [0], [4], [1], [0], [0], [-6], [0], [-2], [2], [0], [-2], [-3], [0], [5], [0], [0], [6], [0], [0], [0], [-5], [0], [3], [10], [0], [1], [-7], [0], [-1], [0], [0], [-18], [1], [0], [0]]}