# Stored data for newform 9450.2.a.cn, downloaded from the LMFDB on 16 April 2024. {"label": "9450.2.a.cn", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 66, "hecke_orbit_code": 292733975812646122, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 259966765746441678, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[11, [0, 1]], [13, [-2, 1]], [17, [8, 1]], [19, [-4, 1]]], "qexp_display": "q+q^{2}+q^{4}-q^{7}+q^{8}+2q^{13}-q^{14}+\\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": "0.016", "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": "1.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.052", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.152", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/cn"], "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, 0, 0, 2, -1, 0, 1, -8, 0, 4, 0, 0, 0, -4, 0, 0, 2, 0, -1, 7, 0, 1, 1, 0, -8, 0, 0, -7, 4, 0, 0, -9, 0, -2, 0, 0, -4, -7, 0, 1, 0, 0, 2, -6, 0, 0, -1, 0, 7, 1, 0, 3, 1, 0, 1, 0, 0, 4, -8, 0, 0, -3, 0, 13, -7, 0, 4, 0, 0, -16, 0, 0, -9, -6, 0, 0, -2, 0, 0, 10, 0, -2, -4, 0, -7, 0, 0, -6, 1, 0, 0, -6, 0, 14, 2, 0, -6, -7, 0, -16, 0, 0, -1, -1, 0, 0, 7, 0, 1, 8, 0, -11, 3, 0, 1, 0, 0, -13, 1, 0, 0, 13, 0, -4, 4, 0, -8, 19, 0, -14, 0, 0, -3, 0, 0, 0, 13, 0, -7, -6, 0, 18, 4, 0, 0, 0, 0, 6, -16, 0, 0, 4, 0, 6, -9, 0, -6, -15, 0, -9, 0, 0, -2, -9, 0, 0, 0, 0, 10, -16, 0, 5, -2, 0, -4, 0, 0, 0, -7, 0, 0, 8, 0, -26, -6, 0, 1, -8, 0, 0, 0, 0, -6, -7, 0, 0, 14, 0, 2, 0, 0, -3, -6, 0, -7, 0, 0, -1, -16, 0, 0, -16, 0, -28, -1, 0, -1, -12, 0, 10, 0, 0, 7, 7, 0, 0, 1, 0, 8, -5, 0, 30, -11, 0, 3, 0, 0, 8, 1, 0, 0, -20, 0, 0, -13, 0, 1, -24, 0, 7, 0, 0, 13, -12, 0, 0, -4, 0, 4, 4, 0, -21, -8, 0, 19, 0, 0, -10, -14, 0, 0, 0, 0, 7, -3, 0, 0, 9, 0, 47, 0, 0, 13, -15, 0, 0, -7, 0, -6, -8, 0, 2, 18, 0, 4, 0, 0, 28, 0, 0, 0, 18, 0, 10, 6, 0, -16, 10, 0, 0, 0, 0, 4, -32, 0, 0, 6, 0, -9, 7, 0, -7, -6, 0, -15, 0, 0, -4, -9, 0, 0, 0, 0, -1, -2, 0, -9, 3, 0, -30, 0, 0, 0, 0, 0, 0, 10, 0, -16, 20, 0, -3, 5, 0, -2, 0, 0, 14, -4, 0, 0, 6, 0, 13, 0, 0, -7, 14, 0, 19, 0, 0, 8, 24, 0, 0, -26, 0, -6, 27, 0, 32, 1, 0, -8, 0, 0, 14, 0, 0, 0, -36, 0, 2, -6, 0, -7, 0, 0, -32, 0, 0, 14, -1, 0, 0, 2, 0, 0, -35, 0, -20, -3, 0, -6, 0, 0, -3, -7, 0, 0, -5, 0, -7, -1, 0, -16, -16, 0, 8, 0, 0, -16, -39, 0, 0, -28, 0, -1, 28, 0, 0, -1, 0, -12, 0, 0, -8, 10, 0, 0, -16, 0, -19, 7, 0, 7, -2, 0, -4, 0, 0, 1, 0, 0, 0, 8, 0, -5, 24, 0, -14, 30, 0, -11, 0, 0, 17, 3, 0, 0, 6, 0, -56, 8, 0, 1, 3, 0, 37, 0, 0, -20, -8, 0, 0, 0, 0, -13, -44, 0, -13, 1, 0, -24, 0, 0, 0, 7, 0, 0, 30, 0, 20, 13, 0, -12, -8, 0, -7, 0, 0, -4, -18, 0, 0, 4, 0, 4, 0, 0, 8, -21, 0, -8, 0, 0, -28, 19, 0, 0, 28, 0, 16, -10, 0, -14, -16, 0, -4, 0, 0, 0, -34, 0, 0, 7, 0, -3, -36, 0, 23, 0, 0, 9, 0, 0, -17, 47, 0, 0, 6, 0, 0, 13, 0, -15, -2, 0, 4, 0, 0, -7, -6, 0, 0, -6, 0, -8, -15, 0, 44, 2, 0, 18, 0, 0, 34, 4, 0, 0, -14, 0, 6, 28, 0, 0, -13, 0, 40, 0, 0, 18, -10, 0, 0, 10, 0, 6, 56, 0, 12, -16, 0, 10, 0, 0, 2, 0, 0, 0, -22, 0, 47, 4, 0, -32, 45, 0, 0, 0, 0, 6, 18, 0, 0, -9, 0, 7, -42, 0, -17, -7, 0, -6, 0, 0, -28, -15, 0, 0, 0, 0, -20, -4, 0, -9, -35, 0, 6, 0, 0, 0, -47, 0, 0, -1, 0, -2, -12, 0, 34, -9, 0, 3, 0, 0, 72, -30, 0, 0, 31, 0, -28, 0, 0, 0, 6, 0, -24, 0, 0, 10, -4, 0, 0, -16, 0, 20, 34, 0, -14, -3, 0, 5, 0, 0, 26, -2, 0, 0, 16, 0, -8, 14, 0, -4, 0, 0, -23, 0, 0, 6, 18, 0, 0, 13, 0, 0, 7, 0, 10, -7, 0, 14, 0, 0, -21, 19, 0, 0, 29, 0, 16, 8, 0, 24, 2, 0, 4, 0, 0, -26, -21, 0, 0, -6, 0, 27, -36, 0, 0, 32, 0, 1, 0, 0, -39, -8, 0, 0, 1, 0, 6, 14, 0, 0, -5, 0, 56, 0, 0, -36, 0, 0, 0, 2, 0, -6, 26, 0, 30, -7, 0, 0, 0, 0, -8, -32, 0, 0, -18, 0, 15, 14, 0, -1, 17, 0, 10, 0, 0, 2, -8, 0, 0, 0, 0, -35, -32, 0, 20, -20, 0, -3, 0, 0, 11, -6, 0, 0, 28, 0, 4, -3, 0, -7, 32, 0, 0, 0, 0, -5, -14, 0, 0, -7, 0, -1, 0, 0, 8, -16, 0, -16, 0, 0, 23, 8, 0, 0, 15, 0, 2, -16, 0, -39, 45, 0, 13, 0, 0, -28, -28, 0, 0, -1, 0, 28, 7, 0, 48, 0, 0, -1, 0, 0, -44, -12, 0, 0, -23, 0, 0, -8, 0, 10, -13, 0, 38, 0, 0, -16, -6, 0, 0, -19, 0, 7, -6, 0, 4, 7, 0, -2, 0, 0, -19, -4, 0, 0, -20, 0, 36, 1, 0, 0, 36, 0, 26, 0, 0, 8, 54, 0, 0, -5, 0, 24, -19, 0, -30, -14, 0, 30, 0, 0, 1, -11, 0, 0, 51, 0, 14, 17, 0, 3, -18, 0, 0, 0, 0, 6, 28, 0, 0, -56, 0, 8, 8, 0, 46, 1, 0, 3, 0, 0, -40, 37, 0, 0, 0, 0, -8, -20, 0, -8, -24, 0, -35, 0, 0, 0, 31, 0, 0, -13, 0, -44, -54, 0, 51, -13, 0, 1, 0, 0, -32, -24, 0, 0, -40, 0, 32, 0, 0, 7, -24, 0, 1, 0, 0, 30, 6, 0, 0, 20, 0, 13, 15, 0, -13, -12, 0, -8, 0, 0, -18, -7, 0, 0, 47, 0, 0, -4, 0, -18, 0, 0, 29, 0, 0, 4, -49, 0, 0, 4, 0, 0, -12, 0, 28, 8, 0, -21, 0, 0, -40, -8, 0, 0, 52, 0, 47, -28, 0, 19, -60, 0, -6, 0, 0, 28, 26, 0, 0, 16, 0, -10, 24, 0, 0, -14, 0, -16, 0, 0, -6, -4, 0, 0, 4, 0, -49, 0, 0, -34, -4, 0, -23, 0, 0, 7, 0, 0, 0, -3, 0, -36, -32, 0, -6, 23, 0, 0, 0, 0, -7, 9, 0, 0, 42, 0, 43, -17, 0, 47, 20, 0, 12, 0, 0, 6, 21, 0, 0, 0, 0, 13, 15, 0, 25, -15, 0, -2, 0, 0, 0, 4, 0, 0, -36, 0, 9, -7, 0, -6, 32, 0, -63, 0, 0, -6, 4, 0, 0, -8, 0, -15, 0, 0, -25, 44, 0, 2, 0, 0, 24, 18, 0, 0, 9, 0, 33, 34, 0, 4, 32, 0, 24, 0, 0, -14, 8, 0, 0, 6, 0, 28, -34, 0, -41, 0, 0, -13, 0, 0, 18, 40, 0, 0, -104, 0, 0, 18, 0, -10, -14, 0, -6, 0, 0, 10, 16, 0, 0, 6, 0, 56, 27, 0, -12, 12, 0, -16, 0, 0, -5, 10, 0, 0, -9, 0, 16, 2, 0, 0, -7, 0, -9, 0, 0, -22, -56, 0, 0, 47, 0, 4, 6, 0, 68, -32, 0, 45, 0, 0, 44, 0, 0, 0, -58, 0, -69, 6, 0, 18, -12, 0, 0, 0, 0, -9, -12, 0, 0, 7, 0, -42, 50, 0, -34, -17, 0, -7, 0, 0, 51, -6, 0, 0, 0, 0, -2, -28, 0, -15, -8, 0, 28, 0, 0, 0, 128, 0, 0, -20, 0, -4, -12, 0, 26, -9, 0, -35, 0, 0, -4, 6, 0, 0, -18, 0, -49, 0, 0, -47, -18, 0, 12, 0, 0, -1, 16, 0, 0, -2, 0, -12, 8, 0, 28, 34, 0, -9, 0, 0, 52, 3, 0, 0, -14, 0, 0, 72, 0, -30, 0, 0, 8, 0, 0, 31, -12, 0, 0, -28, 0, 0, -48, 0, 48, 0, 0, 6, 0, 0, -32, -24, 0, 0, 7, 0, 48, 10, 0, -4, -16, 0, 48, 0, 0, -16, -12, 0, 0, 20, 0, 34, 16, 0, 0, -14, 0, -3, 0, 0, -58, 5, 0, 0, -30, 0, -74, 26, 0, -2, -7, 0, 66, 0, 0, 16, 0, 0, 0, -8, 0, 14, -2, 0, -22, -4, 0, 0, 0, 0, 3, -23, 0, 0, 18, 0, -37, 6, 0, 18, -9, 0, 22, 0, 0, 13, 54, 0, 0, 0, 0, 7, 6, 0, -64, 10, 0, -7, 0, 0, 0, 14, 0, 0, -24, 0, -80, -21, 0, 19, 63, 0, 1, 0, 0, 29, 12, 0, 0, 16, 0, 8, 0, 0, 10, 24, 0, 2, 0, 0, -42, 4, 0, 0, -16, 0, 10, -26, 0, -21, 16, 0, -54, 0, 0, -6, -12, 0, 0, 27, 0, -36, 12, 0, 28, 0, 0, 32, 0, 0, -16, 1, 0, 0, 45, 0, -22, -39, 0, -8, -24, 0, 57, 0, 0, 1, 36, 0, 0, 6, 0, 14, 12, 0, 14, 0, 0, -5, 0, 0, -47, 56, 0, 0, 45, 0, -10, -36, 0, 0, 10, 0, 56, 0, 0, 2, -21, 0, 0, -6, 0, 26, 74, 0, -34, 30, 0, -7, 0, 0, 73, 0, 0, 0, -7, 0, 12, -8, 0, -32, -54, 0, 0, 0, 0, -18, -6, 0, 0, 15, 0, 14, 48, 0, -26, -1, 0, 17, 0, 0, 61, 10, 0, 0, 0, 0, 29, 2, 0, -8, -36, 0, -47, 0, 0, 0, 5, 0, 0, -35, 0, -32, -52, 0, 40, 20, 0, -20, 0, 0, -30, -3, 0, 0, 40, 0, 22, 11, 0, -6, -20, 0, -20, 0, 0, 28, 26, 0, 0, 4, 0, -3, -33, 0, 7, -7, 0, 32, 0, 0, 48, 0, 0, 0, -31, 0, -66, -5, 0, -14, 0, 0, -8, 0, 0, -7, -18, 0, 0, -1, 0, 0, 49, 0, -38, 8, 0, -16, 0, 0, 72, -16, 0, 0, -112, 0, -25, 23, 0, 8, 20, 0, 8, 0, 0, 15, 18, 0, 0, 2, 0, -16, 21, 0, 0, -39, 0, 45, 0, 0, -30, 13, 0, 0, 38, 0, 48, -28, 0, -28, 33, 0, -26, 0, 0, -1, 0, 0, 0, 28, 0, 7, 24, 0, -19, 48, 0, 0, 0, 0, -28, -1, 0, 0, 33, 0, -7, -44, 0, -12, 64, 0, 56, 0, 0, -23, -24, 0, 0, 0, 0, -8, 1, 0, -44, 10, 0, -13, 0, 0, 0, 38, 0, 0, 12, 0, -24, -16, 0, -6, -17, 0, -39, 0, 0, -19, 128, 0, 0, 7, 0, -6, 0, 0, -10, 4, 0, 7, 0, 0, 31, -2, 0, 0, -75, 0, 22, -19, 0, -4, -6, 0, -40, 0, 0, -20, -4, 0, 0, 36, 0, 1, -9, 0, 3, 0, 0, 36, 0, 0, 21, 26, 0, 0, 66, 0, 0, 8, 0, 54, 42, 0, 24, 0, 0, -5, 54, 0, 0, 24, 0, -19, -24, 0, 8, -30, 0, -14, 0, 0, 63, 30, 0, 0, 76, 0, -77, 1, 0, -11, -12, 0, 10, 0, 0, 51, 28, 0, 0, 14, 0, 17, -52, 0, 16, 3, 0, -18, 0, 0, 56, 0, 0, 0, 42, 0, 36, 6, 0, 28, 0, 0, 0, 0, 0, -56, 31, 0, 0, 8, 0, 8, 0, 0, -7, 46, 0, 1, 0, 0, 1, 3, 0, 0, 0, 0, 58, -40, 0, 37, 68, 0, -60, 0, 0, 0, 0, 0, 0, -8, 0, -20, -9, 0, 4, -8, 0, -24, 0, 0, 2, -35, 0, 0, 14, 0, -47, 0, 0, 31, -47, 0, -43, 0, 0, -13, -28, 0, 0, -44, 0, -54, 27, 0, 12, 51, 0, -13, 0, 0, -40, 1, 0, 0, 15, 0, 53, -32, 0, -24, 88, 0, -21, 0, 0, -40, 13, 0, 0, 32, 0, 0, 51, 0, -64, 7, 0, -24, 0, 0, 4, 1, 0, 0, -66, 0, -54, 30, 0, 6, 30, 0, 14, 0, 0, 20, 8, 0, 0, 13, 0, 15, -15, 0, 0, -13, 0, -12, 0, 0, -2, -8, 0, 0, -64, 0, 11, -18, 0, -7, 91, 0, 12, 0, 0, 47, 0, 0, 0, 0, 0, -4, 12, 0, -38, -18, 0, 0, 0, 0, 86, 29, 0, 0, -20, 0, -11, 4, 0, -49, -4, 0, -28, 0, 0, 4, 79, 0, 0, 0, 0, -12, 104, 0, 20, 28, 0, 8, 0, 0, 0, -21, 0, 0, -30, 0, 54, -40, 0, -8, -18, 0, -68, 0, 0, 52, -7, 0, 0, 47, 0, -28, 0, 0, -10, 19, 0, -60, 0, 0, -44, -6, 0, 0, -3, 0, -1, 28, 0, 26, 54, 0, 2, 0, 0, 16, 56, 0, 0, -10, 0, 24, -10, 0, 22, 0, 0, -14, 0, 0, -104, -16, 0, 0, 24, 0, 0, -6, 0, -4, 18, 0, 91, 0, 0, 4, 78, 0, 0, -49, 0, 0, -18, 0, -32, -34, 0, -4, 0, 0, -21, -23, 0, 0, 32, 0, 13, 7, 0, 0, -40, 0, -24, 0, 0, -3, 50, 0, 0, -36, 0, -32, 12, 0, -74, -6, 0, 23, 0, 0, 58, 0, 0, 0, -112, 0, -34, -7, 0, 9, 10, 0, -44, 0, 0, 42, -7, 0, 0, 43, 0, -17, -30, 0, 4, 47, 0, 20, 0, 0, 7, 12, 0, 0, 0, 0, 24, 6, 0, 21, -32, 0, -152, 0, 0, 0, -30, 0, 0, 13, 0, 15, -28, 0, -58, 25, 0, -15, 0, 0, 12, -2, 0, 0, -66, 0, 10, 0, 0, 4, -22, 0, 4, 0, 0, -36, 112, 0, 0, 9, 0, -7, -56, 0, -6, -6, 0, 32, 0, 0, -70, -63, 0, 0, -71, 0, 66, -6, 0, 4, 0, 0, -22, 0, 0, -8, -74, 0, 0, -15, 0, 0, 14, 0, 1, -25, 0, 44, 0, 0, -42, 2, 0, 0, 39, 0, -52, 24, 0, 18, -63, 0, -9, 0, 0, 9, -48, 0, 0, 33, 0, 34, -3, 0, 0, 4, 0, 32, 0, 0, 54, 24, 0, 0, 75, 0, 30, -14, 0, 8, -14, 0, -16, 0, 0, 6, 0, 0, 0, 28, 0, -34, -92, 0, 28, -41, 0, 0, 0, 0, -52, -13, 0, 0, 0, 0, 0, 18, 0, 40, 73, 0, -28, 0, 0, -104, 16, 0, 0, 0, 0, 18, 52, 0, 42, -10, 0, -14, 0, 0, 0, -6, 0, 0, -27, 0, 79, 10, 0, 16, 64, 0, -52, 0, 0, 6, -20, 0, 0, 56, 0, 27, 0, 0, 15, -12, 0, 12, 0, 0, 3, -16, 0, 0, 42, 0, 48, -5, 0, 10, -2, 0, 62, 0, 0, -9, 24, 0, 0, 16, 0, 2, 75, 0, -41, 0, 0, -7, 0, 0, -91, -9, 0, 0, -16, 0, 0, -22, 0, -56, -144, 0, -14, 0, 0, 47, -6, 0, 0, 4, 0, 6, 16, 0, 70, 68, 0, -32, 0, 0, 0, 45, 0, 0, 33, 0, -21, 44, 0, 0, -6, 0, 4, 0, 0, -58, 76, 0, 0, -69, 0, 6, 47, 0, -13, 18, 0, -12, 0, 0, 47, 0, 0, 0, 90, 0, -6, -9, 0, -12, 21, 0, 0, 0, 0, 7, 85, 0, 0, -42, 0, 50, -14, 0, -56, -34, 0, -17, 0, 0, -63, -7, 0, 0, 0, 0, -19, 51, 0, -6, 93, 0, 86, 0, 0, 0, 33, 0, 0, -2, 0, -28, -48, 0, -26, -15, 0, -8, 0, 0, -32, 28, 0, 0, -24, 0, -74, 0, 0, 128, -33, 0, -49, 0, 0, -20, -21, 0, 0, -4, 0, -12, 20, 0, -91, 26, 0, -9, 0, 0, 71, -35, 0, 0, -87, 0, 6, -4, 0, 6, 0, 0, 79, 0, 0, -18, -27, 0, 0, -49, 0, 0, -19, 0, 92, -47, 0, -18, 0, 0, -32, 12, 0, 0, 61, 0, -6, -1, 0, 16, -36, 0, -78, 0, 0, -2, 65, 0, 0, -12, 0, 8, 10, 0, 0, 28, 0, 34, 0, 0, -15, -9, 0, 0, -48, 0, -7, 52, 0, 3, 6, 0, -14, 0, 0, -14, 44, 0, 0, 0, 0, 72, -18, 0, -19, -30, 0, 0, 0, 0, 66, 8, 0, 0, 84, 0, -17, 31, 0, -12, 36, 0, -17, 0, 0, -28, -42, 0, 0, 0, 0, -48, 48, 0, -2, 48, 0, 0, 0, 0, 0, 6, 0, 0, -24, 0, 21, -32, 0, -24, -84, 0, 120, 0, 0, 7, -49, 0, 0, 48, 0, 10, 0, 0, 60, -4, 0, -16, 0, 0, 10, 48, 0, 0, -42, 0, 32, -16, 0, -12, -21, 0, 72, 0, 0, 20, 72, 0, 0, 34, 0, 16, -24, 0, -8, 0, 0, -14, 0, 0, -92, -3, 0, 0, 1, 0, 0, -58, 0, 5, 36, 0, -56, 0, 0, -30, -39, 0, 0, -74, 0, 26, 30, 0, 27, -2, 0, -7, 0, 0, -14, 66, 0, 0, 52, 0, 112, 16, 0, 0, -28, 0, -42, 0, 0, -8, 35, 0, 0, 14, 0, -2, -5, 0, 72, -22, 0, -4, 0, 0, 20, 0, 0, 0, -24, 0, 21, 3, 0, -23, 78, 0, 0, 0, 0, 18, 73, 0, 0, -37, 0, 6, -90, 0, 90, 18, 0, -9, 0, 0, 20, 22, 0, 0, 0, 0, 24, 13, 0, 54, 98, 0, 3, 0, 0, 0, -117, 0, 0, 7, 0, 6, -88, 0, -4, -64, 0, 10, 0, 0, -6, -7, 0, 0, -4, 0, -52, 0, 0, 14, 5, 0, -59, 0, 0, -24, -84, 0, 0, -80, 0, -21, 14, 0, 7, 19, 0, 63, 0, 0, -76, 1, 0, 0, 39, 0, 128, 29, 0, 12, 0, 0, -83, 0, 0, 16, 6, 0, 0, 8, 0, 0, 16, 0, 16, 10, 0, 24, 0, 0, 20, 2, 0, 0, 42, 0, -8, -42, 0, 4, -40, 0, -20, 0, 0, -16, 28, 0, 0, 10, 0, -26, -84, 0, 0, -21, 0, 16, 0, 0, 24, -54, 0, 0, 39, 0, -49, -6, 0, -12, -10, 0, -34, 0, 0, 27, 0, 0, 0, -36, 0, 12, 85, 0, -62, 28, 0, 0, 0, 0, -6, 32, 0, 0, -6, 0, 60, -16, 0, 1, -3, 0, -26, 0, 0, 45, -28, 0, 0, -22, 0, -39, -28, 0, -76, -8, 0, -24, 0, 0, 0, 57, 0, 0, -112, 0, 21, 1, 0, 36, -79, 0, -70, 0, 0, 6, -60, 0, 0, 14, 0, 12, 0, 0, 25, 14, 0, 0, 0, 0, 28, -5, 0, 0, -8, 0, 14, -47, 0, 56, 56, 0, 8, 0, 0, 45, -19, 0, 0, -10, 0, -36, 51, 0, -36, 0, 0, 10, 0, 0, -20, 56, 0, 0, -37, 0, 0, 2, 0, -21, 16, 0, -38, 0, 0, -6, -18, 0, 0, 26, 0, 74, 144, 0, 19, -34, 0, 30, 0, 0, -64, -7, 0, 0, 69, 0, -12, 73, 0, 0, 6, 0, 108, 0, 0, -7, -40, 0, 0, 12, 0, -8, 2, 0, 4, -32, 0, -54, 0, 0, -7, 0, 0, 0, 208, 0, 4, -18, 0, -6, -36, 0, 0, 0, 0, 15, -70, 0, 0, 14, 0, 48, -50, 0, -98, -26, 0, -1, 0, 0, -104, 17, 0, 0, 0, 0, 66, 61, 0, 10, -7, 0, -82, 0, 0, 0, -64, 0, 0, 29, 0, 2, -42, 0, -20, -8, 0, -36, 0, 0, 21, -47, 0, 0, -48, 0, -71, 0, 0, 5, -3, 0, 64, 0, 0, -35, -24, 0, 0, -32, 0, -52, 42, 0, -53, 40, 0, 20, 0, 0, 14, -20, 0, 0, -12, 0, -72, -30, 0, -3, 0, 0, -16, 0, 0, 40, 0, 0, 0, 22, 0, 11, -58, 0, -88, -6, 0, -20, 0, 0, 32, -20, 0, 0, -64, 0, 54, 28, 0, 26, 28, 0, -17, 0, 0, 4, 0, 0, 0, -3, 0, -33, -24, 0, 0, 7, 0, -7, 0, 0, 24, 32, 0, 0, -91, 0, -85, 48, 0, 0, -6, 0, 20, 0, 0, -31, 0, 0, 0, -66, 0, -5, -31, 0, 56, -14, 0, 0, 0, 0, 38, -8, 0, 0, 2, 0, -48, -7, 0, -18, 51, 0, 28, 0, 0, -1, -72, 0, 0, 0, 0, 49, -3, 0, -58, -38, 0, 8, 0, 0, 0, -16, 0, 0, -60, 0, -37, 72, 0, -16, 8, 0, -78, 0, 0, -112, -1, 0, 0, -25, 0, 23, -77, 0, -114, 8, 0, 20, 0, 0, 6, 8, 0, 0, 8, 0, -42, 15, 0, 18, -96, 0, -23, 0, 0, 2, -25, 0, 0, -16, 0, 21, -74, 0, -107, 0, 0, -39, 0, 0, 28, 45, 0, 0, -24, 0, 0, -30, 0, 13, -74, 0, 5, 0, 0, 38, 44, 0, 0, 48, 0, -28, 12, 0, 64, -28, 0, 33, 0, 0, 13, -26, 0, 0, 102, 0, 104, -1, 0, 0, 24, 0, 42, 0, 0, 28, -81, 0, 0, 7, 0, 24, 3, 0, -20, -19, 0, 48, 0, 0, 32, 0, 0, 0, -24, 0, 6, -28, 0, -1, -36, 0, 0, 0, 0, 33, -70, 0, 0, -7, 0, -44, 32, 0, -95, -12, 0, 64, 0, 0, 67, 56, 0, 0, 0, 0, -109, -23, 0, -24, -30, 0, -90, 0, 0, 0, 0, 0, 0, -8, 0, 1, -40, 0, -20, -44, 0, 10, 0, 0, -104, -13, 0, 0, 72, 0, -106, 0, 0, 38, 40, 0, 14, 0, 0, 12, -91, 0, 0, -24, 0, -16, 8, 0, 63, -6, 0, -17, 0, 0, -52, -39, 0, 0, 38, 0, 7, -19, 0, 128, 0, 0, -23, 0, 0, 7, 112, 0, 0, -6, 0, 0, 104, 0, -52, -10, 0, 4, 0, 0, 62, 7, 0, 0, 18, 0, 11, 31, 0, -2, 42, 0, 76, 0, 0, -75, -32, 0, 0, 22, 0, -19, -24, 0, -11, -4, 0, -6, 0, 0, 94, -40, 0, 0, -22, 0, 18, -20, 0, -4, 12, 0, 20, 0, 0, 36, 0, 0, 0, 1, 0, -9, -75, 0, 0, 3, 0, 0, 0, 0, -8, 36, 0, 0, 224, 0, 19, 21, 0, 26, -123, 0, 91, 0, 0, 66, -7, 0, 0, 0, 0, 8, -30, 0, -98, 54, 0, 42, 0, 0, 0, 24, 0, 0, -70, 0, -99, -5, 0, 54, -20, 0, 28, 0, 0, 24, -90, 0, 0, -19, 0, -24, 0, 0, 60, 8, 0, -30, 0, 0, -19, -14, 0, 0, 24, 0, -84, 63, 0, 30, -28, 0, 96, 0, 0, 76, 95, 0, 0, -77, 0, 1, -78, 0, -16, -11, 0, -12, 0, 0, -10, 10, 0, 0, 29, 0, 0, 51, 0, 28, 36, 0, -53, 0, 0, 14, -80, 0, 0, 17, 0, -52, 16, 0, 42, 16, 0, 3, 0, 0, 68, -18, 0, 0, 14, 0, 4, 56, 0, 0, 90, 0, 35, 0, 0, 42, 6, 0, 0, 36, 0, 6, 6, 0, 69, 28, 0, 0, 0, 0, -13, 0, 0, 0, 34, 0, -95, -56, 0, 31, 36, 0, 0, 0, 0, 8, 4, 0, 0, 8, 0, 0, 49, 0, -56, -7, 0, 46, 0, 0, 82, 1, 0, 0, 0, 0, 133, 1, 0, 3, 54, 0, 36, 0, 0, 0, 36, 0, 0, 58, 0, -40, -48, 0, 56, 37, 0, 68, 0, 0, -23, -60, 0, 0, -4, 0, -15, 0, 0, 0, -72, 0, -12, 0, 0, -8, 96, 0, 0, -20, 0, -9, 68, 0, 5, 4, 0, -8, 0, 0, -66, -24, 0, 0, -98, 0, 112, 2, 0, -35, 0, 0, 17, 0, 0, 14, 36, 0, 0, -47, 0, 0, -81, 0, 24, 31, 0, -47, 0, 0, 80, -43, 0, 0, 13, 0, 40, -13, 0, -28, -6, 0, 20, 0, 0, -44, -30, 0, 0, -54, 0, 27, -28, 0, 0, 12, 0, 51, 0, 0, 12, -13, 0, 0, 17, 0, 82, -40, 0, 1, -240, 0, 32, 0, 0, 15, 0, 0, 0, 53, 0, -32, 2, 0, 2, -24, 0, 88, 0, 0, 64, -21, 0, 0, 20, 0, -4, -40, 0, 13, -60, 0, 30, 0, 0, 32, -109, 0, 0, 0, 0, 51, -68, 0, 54, -64, 0, 7, 0, 0, 0, -24, 0, 0, 6, 0, -52, 4, 0, 1, 34, 0, -36, 0, 0, -66, -20, 0, 0, -54, 0, 30, 0, 0, 12, 6, 0, 30, 0, 0, -83, 14, 0, 0, 7, 0, -70, 20, 0, 8, 96, 0, -3, 0, 0, 13, 15, 0, 0, 15, 0, -15, -64, 0, -89, 0, 0, -13, 0, 0, -44, -12, 0, 0, 72, 0, 0, -2, 0, -8, -76, 0, 96, 0, 0, -64, -126, 0, 0, 11, 0, -18, -93, 0, -7, -7, 0, 91, 0, 0, -112, 12, 0, 0, -59, 0, 18, 47, 0, 0, 19, 0, -34, 0, 0, 0, -92, 0, 0, -4, 0, 12, 23, 0, -106, -38, 0, -18, 0, 0, 160, 0, 0, 0, -16, 0, 1, 86, 0, 29, 14, 0, 0, 0, 0, -20, -16, 0, 0, -11, 0, 4, -18, 0, -6, -49, 0, -4, 0, 0, -49, -28, 0, 0, 0, 0, -14, 4, 0, 79, 13, 0, -14, 0, 0, 0, -48, 0, 0, -12, 0, 104, 13, 0, -42], "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.b", "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], [0], [0], [2], [-1], [0], [1], [-8], [0], [4], [0], [0], [0], [-4], [0], [0], [2], [0], [-1], [7], [0], [1], [1], [0], [-8], [0], [0], [-7], [4], [0], [0], [-9], [0], [-2], [0], [0], [-4], [-7], [0], [1], [0], [0], [2], [-6], [0], [0], [-1], [0], [7], [1], [0], [3], [1], [0], [1], [0], [0], [4], [-8], [0], [0], [-3], [0], [13], [-7], [0], [4], [0], [0], [-16], [0], [0], [-9], [-6], [0], [0], [-2], [0], [0], [10], [0], [-2], [-4], [0], [-7], [0], [0], [-6], [1], [0], [0]]}