# Stored data for newform 9450.2.a.di, downloaded from the LMFDB on 23 April 2024.
{"label": "9450.2.a.di", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 87, "hecke_orbit_code": 387309567987426538, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 664321529001385943, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[11, [1, 1]], [13, [3, 1]], [17, [4, 1]], [19, [6, 1]]], "qexp_display": "q+q^{2}+q^{4}+q^{7}+q^{8}-q^{11}-3q^{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": "0.014", "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": "1.027", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.080", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.255", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/di"], "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, -1, 0, -3, 1, 0, 1, -4, 0, -6, 0, 0, -1, 3, 0, 0, -3, 0, 1, 6, 0, 2, 1, 0, -4, 0, 0, 7, -6, 0, 0, -2, 0, 2, -1, 0, 3, -7, 0, 1, 0, 0, -3, -2, 0, 0, 1, 0, 6, -13, 0, -11, 2, 0, 1, 0, 0, 0, -4, 0, 0, 13, 0, -2, 7, 0, -6, -1, 0, -8, 0, 0, -2, -4, 0, 0, 2, 0, -1, -4, 0, -3, 3, 0, -7, 0, 0, -17, 1, 0, 0, 0, 0, 2, -3, 0, -2, 3, 0, -6, 0, 0, 1, 2, 0, 0, 6, 0, -13, -4, 0, -10, -11, 0, 2, 0, 0, 2, 1, 0, 0, 7, 0, -6, 0, 0, -4, -18, 0, -20, 0, 0, 13, 3, 0, 0, -2, 0, 7, -6, 0, -10, -6, 0, -1, 0, 0, 2, -8, 0, 0, 3, 0, -14, -2, 0, -4, -3, 0, -4, 0, 0, 2, 8, 0, 0, -1, 0, -4, -9, 0, 19, -3, 0, 3, 0, 0, 4, -7, 0, 0, -12, 0, -14, -17, 0, 1, -16, 0, 2, 0, 0, 0, 6, 0, 0, 2, 0, -3, 6, 0, -20, -2, 0, 3, 0, 0, 2, -6, 0, 0, 12, 0, 14, 1, 0, 2, 29, 0, -5, 0, 0, 6, -24, 0, 0, -13, 0, -4, 11, 0, 1, -10, 0, -11, 0, 0, 18, 2, 0, 0, 15, 0, -3, 2, 0, 1, 8, 0, 7, 0, 0, 7, 11, 0, 0, -6, 0, 0, 0, 0, -24, -4, 0, -18, 0, 0, 30, -20, 0, 0, 22, 0, -14, 13, 0, 3, -2, 0, -1, 0, 0, -2, 16, 0, 0, 7, 0, -6, -9, 0, 2, -10, 0, -6, 0, 0, 14, -1, 0, 0, -3, 0, -14, 2, 0, -8, 22, 0, -6, 0, 0, 3, 24, 0, 0, -14, 0, -2, -7, 0, 22, -4, 0, -3, 0, 0, 14, -4, 0, 0, -2, 0, 1, 2, 0, 8, 4, 0, -26, 0, 0, -1, 6, 0, 0, -4, 0, -9, -17, 0, 17, 19, 0, -3, 0, 0, -4, 3, 0, 0, -2, 0, 22, 4, 0, -7, -18, 0, -30, 0, 0, -12, 9, 0, 0, -14, 0, -17, -2, 0, -12, 1, 0, -16, 0, 0, 23, 2, 0, 0, 32, 0, -6, 0, 0, 6, -7, 0, -27, 0, 0, 2, -13, 0, 0, -3, 0, 6, -36, 0, 11, -20, 0, -2, 0, 0, -11, 3, 0, 0, -9, 0, 1, 2, 0, -6, -18, 0, 16, 0, 0, 12, 1, 0, 0, 14, 0, 1, -18, 0, 2, 2, 0, 29, 0, 0, -13, -5, 0, 0, 20, 0, -14, 6, 0, -24, -19, 0, 0, 0, 0, -13, -2, 0, 0, -4, 0, 11, 24, 0, -21, 1, 0, -10, 0, 0, 28, -11, 0, 0, -12, 0, -24, 18, 0, 2, 13, 0, -24, 0, 0, 15, -12, 0, 0, -3, 0, 2, 14, 0, -2, 1, 0, 8, 0, 0, 7, 7, 0, 0, 28, 0, -16, 7, 0, 11, -8, 0, -14, 0, 0, -6, 6, 0, 0, 0, 0, 0, -1, 0, 3, -24, 0, -4, 0, 0, 0, -18, 0, 0, -36, 0, -8, 30, 0, -20, -8, 0, -6, 0, 0, 22, 11, 0, 0, -14, 0, 13, -18, 0, -30, 3, 0, -2, 0, 0, 17, -1, 0, 0, -4, 0, 2, -2, 0, 16, 44, 0, -12, 0, 0, 7, 0, 0, 0, -6, 0, -9, -12, 0, -9, 2, 0, -10, 0, 0, -22, -6, 0, 0, 21, 0, -21, 14, 0, -1, -22, 0, -10, 0, 0, -3, -4, 0, 0, -14, 0, 2, -28, 0, 38, -8, 0, 22, 0, 0, -3, -6, 0, 0, -44, 0, -10, 3, 0, 24, 1, 0, 13, 0, 0, -14, 8, 0, 0, -2, 0, -7, 44, 0, -35, 22, 0, -4, 0, 0, 18, -3, 0, 0, 11, 0, -7, 14, 0, -4, 30, 0, -17, 0, 0, -2, 11, 0, 0, 1, 0, 2, 6, 0, 10, 8, 0, 4, 0, 0, 8, -26, 0, 0, 32, 0, -42, -1, 0, 6, 0, 0, -41, 0, 0, -4, 6, 0, 0, -9, 0, -17, -21, 0, 2, 17, 0, 19, 0, 0, 36, -3, 0, 0, -8, 0, -31, -4, 0, 3, 0, 0, 40, 0, 0, -2, 15, 0, 0, 22, 0, 4, 3, 0, 32, -7, 0, -18, 0, 0, -31, -30, 0, 0, 30, 0, -6, -12, 0, 9, 39, 0, -14, 0, 0, -14, 42, 0, 0, -17, 0, -2, 12, 0, -13, -12, 0, 1, 0, 0, -16, -16, 0, 0, 2, 0, 33, 23, 0, 2, 42, 0, 28, 0, 0, 32, 2, 0, 0, -6, 0, 0, -30, 0, 20, 6, 0, -7, 0, 0, -12, -27, 0, 0, -30, 0, 26, 2, 0, -13, -7, 0, 35, 0, 0, -3, -4, 0, 0, 6, 0, -36, 31, 0, 7, 11, 0, -20, 0, 0, -10, -2, 0, 0, 21, 0, 19, -11, 0, 3, 12, 0, -42, 0, 0, -9, 40, 0, 0, 1, 0, 2, 8, 0, 0, -6, 0, -18, 0, 0, 19, 16, 0, 0, -20, 0, -36, 12, 0, 1, 35, 0, 2, 0, 0, 14, 42, 0, 0, 1, 0, -18, 12, 0, 8, 2, 0, 2, 0, 0, -2, 29, 0, 0, -45, 0, 4, -13, 0, -5, 7, 0, -10, 0, 0, 20, -39, 0, 0, -14, 0, 6, -34, 0, -6, -24, 0, -19, 0, 0, 13, 0, 0, 0, -32, 0, -6, -13, 0, -2, 32, 0, 6, 0, 0, -4, 12, 0, 0, 11, 0, 24, -18, 0, -27, -21, 0, 1, 0, 0, 8, -10, 0, 0, -45, 0, -20, 28, 0, -11, -36, 0, 4, 0, 0, -12, 41, 0, 0, -24, 0, 18, 6, 0, -44, 2, 0, 13, 0, 0, -17, -24, 0, 0, 3, 0, 52, 15, 0, -12, 12, 0, -23, 0, 0, -3, 16, 0, 0, 2, 0, 14, 40, 0, 2, -2, 0, 1, 0, 0, 24, 8, 0, 0, -45, 0, 39, 7, 0, 7, 44, 0, -4, 0, 0, 28, -6, 0, 0, -16, 0, 7, -58, 0, -32, 11, 0, -8, 0, 0, -10, -14, 0, 0, 30, 0, 34, -6, 0, 6, 17, 0, 25, 0, 0, 0, 42, 0, 0, 0, 0, -1, 12, 0, -21, 3, 0, -24, 0, 0, -26, -4, 0, 0, 21, 0, 37, 0, 0, -18, -22, 0, 2, 0, 0, -36, 12, 0, 0, -8, 0, 30, 42, 0, 0, -20, 0, -8, 0, 0, -58, -6, 0, 0, 78, 0, 4, 22, 0, 11, 3, 0, -23, 0, 0, -14, -2, 0, 0, 13, 0, -18, 0, 0, -14, -30, 0, 3, 0, 0, 14, -2, 0, 0, 39, 0, -21, 17, 0, -1, 12, 0, 66, 0, 0, -4, 31, 0, 0, 2, 0, -2, -3, 0, 40, 16, 0, 44, 0, 0, -3, -12, 0, 0, 22, 0, -4, 7, 0, 0, -15, 0, -12, 0, 0, -6, -36, 0, 0, -9, 0, -12, 6, 0, -41, -9, 0, 2, 0, 0, -52, -10, 0, 0, 8, 0, 53, -22, 0, -6, 6, 0, -6, 0, 0, 21, -40, 0, 0, -21, 0, 14, -10, 0, 50, -1, 0, -22, 0, 0, -3, -10, 0, 0, 8, 0, -2, -3, 0, -4, 12, 0, 33, 0, 0, -14, -9, 0, 0, 2, 0, -28, 45, 0, 51, 38, 0, -8, 0, 0, 19, 22, 0, 0, -4, 0, 0, -3, 0, -6, -58, 0, 44, 0, 0, -44, 51, 0, 0, -10, 0, 3, -30, 0, -16, 24, 0, 1, 0, 0, 66, 13, 0, 0, -24, 0, 26, -14, 0, 8, 59, 0, 4, 0, 0, -2, 0, 0, 0, -7, 0, 44, 45, 0, 14, -35, 0, 22, 0, 0, 14, -4, 0, 0, 21, 0, 4, 18, 0, -3, -12, 0, -6, 0, 0, 11, 32, 0, 0, -7, 0, 14, -78, 0, -14, -4, 0, 30, 0, 0, -39, -17, 0, 0, 54, 0, -42, -2, 0, 11, 1, 0, 12, 0, 0, 1, -18, 0, 0, 2, 0, 6, -16, 0, -13, 10, 0, 8, 0, 0, 12, 4, 0, 0, -9, 0, 2, 8, 0, -26, -2, 0, -4, 0, 0, 32, -33, 0, 0, -42, 0, -1, -18, 0, 16, 6, 0, 0, 0, 0, 18, -41, 0, 0, 6, 0, 66, -4, 0, 6, 41, 0, -7, 0, 0, -9, 10, 0, 0, -17, 0, -21, -11, 0, -7, 2, 0, 17, 0, 0, -40, 19, 0, 0, -8, 0, -67, 36, 0, -3, -14, 0, -12, 0, 0, -8, 6, 0, 0, -31, 0, -4, -6, 0, 28, 3, 0, 0, 0, 0, -20, 40, 0, 0, -72, 0, 14, -2, 0, 15, -9, 0, 61, 0, 0, 22, -64, 0, 0, 4, 0, 3, 76, 0, 48, 32, 0, -7, 0, 0, 18, -18, 0, 0, 11, 0, 16, -31, 0, -30, -14, 0, 2, 0, 0, 30, 76, 0, 0, -6, 0, -12, 20, 0, -10, 9, 0, 39, 0, 0, -12, -14, 0, 0, 0, 0, -66, -14, 0, 42, 12, 0, 13, 0, 0, -17, -30, 0, 0, -2, 0, 12, 9, 0, 14, -13, 0, -12, 0, 0, -56, 1, 0, 0, 45, 0, 30, -16, 0, -16, 24, 0, -16, 0, 0, 2, 29, 0, 0, 33, 0, 23, 29, 0, 14, 2, 0, 42, 0, 0, 41, 28, 0, 0, 0, 0, -5, 32, 0, 2, -27, 0, 45, 0, 0, -6, -18, 0, 0, 0, 0, -30, -55, 0, 2, 20, 0, 6, 0, 0, -70, -7, 0, 0, -24, 0, 39, -12, 0, -27, -54, 0, 6, 0, 0, -30, -4, 0, 0, 26, 0, 2, 68, 0, -6, -13, 0, -7, 0, 0, -3, 35, 0, 0, 10, 0, -54, -3, 0, -4, 28, 0, 70, 0, 0, 6, 11, 0, 0, -36, 0, 31, -6, 0, -37, 7, 0, 11, 0, 0, 1, -20, 0, 0, 24, 0, 7, -10, 0, -2, 6, 0, 26, 0, 0, 21, -21, 0, 0, 19, 0, -11, 60, 0, -78, 3, 0, 12, 0, 0, 0, -42, 0, 0, -50, 0, 50, -9, 0, 40, -2, 0, 18, 0, 0, 1, 42, 0, 0, 2, 0, 8, -49, 0, -15, 0, 0, -6, 0, 0, -78, -18, 0, 0, -8, 0, -77, 19, 0, 16, 15, 0, -48, 0, 0, -20, -4, 0, 0, -36, 0, 12, -66, 0, -3, 1, 0, 35, 0, 0, -65, 2, 0, 0, 54, 0, 70, 14, 0, 42, -64, 0, 62, 0, 0, 1, 14, 0, 0, -18, 0, 12, 8, 0, 75, 8, 0, 2, 0, 0, 60, 2, 0, 0, -19, 0, 7, -2, 0, 29, -24, 0, -12, 0, 0, -45, 13, 0, 0, 4, 0, -13, -26, 0, 50, -5, 0, 7, 0, 0, 3, -10, 0, 0, 11, 0, 102, 20, 0, -39, 33, 0, -39, 0, 0, -14, 24, 0, 0, 6, 0, -34, 4, 0, 9, -6, 0, -24, 0, 0, 28, -19, 0, 0, 3, 0, -25, 13, 0, 0, -54, 0, -10, 0, 0, -32, 0, 0, 0, -6, 0, -13, -54, 0, -22, -2, 0, 32, 0, 0, -24, 6, 0, 0, 18, 0, -8, -4, 0, 12, 68, 0, -12, 0, 0, 11, -56, 0, 0, 24, 0, -18, 0, 0, -8, -27, 0, -21, 0, 0, 14, 1, 0, 0, 7, 0, 78, 8, 0, -10, 18, 0, 30, 0, 0, -45, 0, 0, 0, -20, 0, 28, -36, 0, -2, -11, 0, -36, 0, 0, -12, 4, 0, 0, -14, 0, 30, -12, 0, 41, 22, 0, 9, 0, 0, -24, -38, 0, 0, 18, 0, 6, -60, 0, -14, -44, 0, 2, 0, 0, 22, 13, 0, 0, -19, 0, -39, -17, 0, -24, -76, 0, -44, 0, 0, 3, 39, 0, 0, 52, 0, 15, -2, 0, 56, -12, 0, 12, 0, 0, -33, -23, 0, 0, -14, 0, -1, -3, 0, 16, 17, 0, -30, 0, 0, 2, -18, 0, 0, 14, 0, 40, 39, 0, -6, 2, 0, -2, 0, 0, -12, 1, 0, 0, 16, 0, 10, 24, 0, 8, 40, 0, 78, 0, 0, -45, -24, 0, 0, 39, 0, 7, -36, 0, 36, 7, 0, 44, 0, 0, 0, -4, 0, 0, -22, 0, 16, 28, 0, -6, -48, 0, 53, 0, 0, -16, -9, 0, 0, 7, 0, -58, 60, 0, 12, -32, 0, 11, 0, 0, 2, -8, 0, 0, -75, 0, 66, -10, 0, -14, -12, 0, 42, 0, 0, 30, 14, 0, 0, 34, 0, -6, 76, 0, 16, 6, 0, 17, 0, 0, 17, 25, 0, 0, 28, 0, 48, 0, 0, 42, -12, 0, 14, 0, 0, 0, -48, 0, 0, -1, 0, 12, -8, 0, -7, -21, 0, 3, 0, 0, 16, -24, 0, 0, 9, 0, 4, -26, 0, -4, -3, 0, 56, 0, 0, 21, -91, 0, 0, 37, 0, 0, -2, 0, -14, -18, 0, -22, 0, 0, 51, 2, 0, 0, 26, 0, -78, -36, 0, 12, 19, 0, 2, 0, 0, -8, -24, 0, 0, 30, 0, 42, 22, 0, 71, 0, 0, -20, 0, 0, -28, -8, 0, 0, -51, 0, -6, -58, 0, -6, -54, 0, -8, 0, 0, 78, 33, 0, 0, 4, 0, 22, -24, 0, 14, 11, 0, 3, 0, 0, -77, -23, 0, 0, 24, 0, -4, -14, 0, -2, -24, 0, 46, 0, 0, 13, -42, 0, 0, -18, 0, 0, -4, 0, 85, -14, 0, -30, 0, 0, -68, 3, 0, 0, -48, 0, 59, 14, 0, -2, -38, 0, 60, 0, 0, 39, -7, 0, 0, -21, 0, 17, -90, 0, 62, -1, 0, 12, 0, 0, 22, 66, 0, 0, 20, 0, 0, -4, 0, 31, 27, 0, 72, 0, 0, 2, -24, 0, 0, -2, 0, -3, -28, 0, 18, 40, 0, 16, 0, 0, 8, 44, 0, 0, 27, 0, -57, -3, 0, -12, -12, 0, 14, 0, 0, 22, 80, 0, 0, -4, 0, 7, 6, 0, -58, 0, 0, -15, 0, 0, 3, -12, 0, 0, 72, 0, -44, -6, 0, -36, -2, 0, -66, 0, 0, -9, 54, 0, 0, -12, 0, 6, 21, 0, 1, -41, 0, -9, 0, 0, -24, 2, 0, 0, -4, 0, -12, -52, 0, -10, -78, 0, 26, 0, 0, 8, -81, 0, 0, 53, 0, -22, 4, 0, -12, -6, 0, 6, 0, 0, -77, -6, 0, 0, -38, 0, -26, 21, 0, -40, 5, 0, -16, 0, 0, -21, -14, 0, 0, 14, 0, -10, -43, 0, 9, 50, 0, -1, 0, 0, 44, -22, 0, 0, 6, 0, 86, -3, 0, -10, -98, 0, 0, 0, 0, 8, 36, 0, 0, -2, 0, -3, -42, 0, 14, -4, 0, 12, 0, 0, -29, 33, 0, 0, 22, 0, -64, -14, 0, -9, -18, 0, 42, 0, 0, 2, -17, 0, 0, -28, 0, 45, 5, 0, 55, 51, 0, 38, 0, 0, 17, -8, 0, 0, 12, 0, 24, 19, 0, 22, -26, 0, 16, 0, 0, -4, 67, 0, 0, 0, 0, -3, 30, 0, -10, -6, 0, -58, 0, 0, 14, 44, 0, 0, 48, 0, 24, -44, 0, 51, 40, 0, -4, 0, 0, -10, -8, 0, 0, 3, 0, -30, -20, 0, -24, -16, 0, 24, 0, 0, -6, 1, 0, 0, -15, 0, 10, 66, 0, 13, -2, 0, 6, 0, 0, -24, 108, 0, 0, 26, 0, -14, 30, 0, 22, 8, 0, 59, 0, 0, 54, 4, 0, 0, -46, 0, -22, -2, 0, 0, 91, 0, -11, 0, 0, -7, 76, 0, 0, 44, 0, 45, -18, 0, 120, 14, 0, -35, 0, 0, -72, 22, 0, 0, -1, 0, -30, 14, 0, -4, -66, 0, 54, 0, 0, 21, -48, 0, 0, 4, 0, 18, -8, 0, -12, -3, 0, -12, 0, 0, 49, -6, 0, 0, 9, 0, 82, 11, 0, 32, 88, 0, 26, 0, 0, -7, -8, 0, 0, 14, 0, -78, 80, 0, -14, -14, 0, -4, 0, 0, -78, 30, 0, 0, 8, 0, -58, -39, 0, -17, -18, 0, 76, 0, 0, 54, -2, 0, 0, -42, 0, -2, 50, 0, -36, 11, 0, 1, 0, 0, -12, 12, 0, 0, -54, 0, 60, 1, 0, -18, 0, 0, -27, 0, 0, 2, -66, 0, 0, 6, 0, -16, -8, 0, -15, -13, 0, 10, 0, 0, 38, 8, 0, 0, 56, 0, 91, 12, 0, 4, -96, 0, 23, 0, 0, -9, -30, 0, 0, 2, 0, 8, -10, 0, -38, -26, 0, -2, 0, 0, 1, -4, 0, 0, 0, 0, -24, 32, 0, -33, 32, 0, -49, 0, 0, -42, -102, 0, 0, -1, 0, -18, -21, 0, -6, 16, 0, 6, 0, 0, -8, 0, 0, 0, 36, 0, -71, 18, 0, -41, -24, 0, 12, 0, 0, 6, -39, 0, 0, 66, 0, -4, -7, 0, 40, 6, 0, 41, 0, 0, -2, -7, 0, 0, 62, 0, -27, -9, 0, 10, 77, 0, 60, 0, 0, -17, 16, 0, 0, -21, 0, -11, 48, 0, 0, -7, 0, 2, 0, 0, -66, 17, 0, 0, -13, 0, -11, -40, 0, 19, 72, 0, -42, 0, 0, -8, -88, 0, 0, -67, 0, 36, -16, 0, -26, -3, 0, -14, 0, 0, -14, -12, 0, 0, 6, 0, -56, -8, 0, 6, 57, 0, 0, 0, 0, -31, -36, 0, 0, -4, 0, -6, -8, 0, -32, 28, 0, 3, 0, 0, 11, 0, 0, 0, -87, 0, 18, -20, 0, 40, -98, 0, 0, 0, 0, -72, -4, 0, 0, 14, 0, -2, -48, 0, -68, 15, 0, -9, 0, 0, 15, 61, 0, 0, 24, 0, -12, 22, 0, -64, 12, 0, -11, 0, 0, 4, 4, 0, 0, 3, 0, 76, 109, 0, -83, 48, 0, 32, 0, 0, -34, -7, 0, 0, 69, 0, 21, 18, 0, -18, -9, 0, -84, 0, 0, 11, -57, 0, 0, 16, 0, -31, 72, 0, 1, -30, 0, -14, 0, 0, 74, 2, 0, 0, 6, 0, 36, 30, 0, 76, -30, 0, -7, 0, 0, -6, 26, 0, 0, -12, 0, 20, -18, 0, -35, -10, 0, 9, 0, 0, 102, 39, 0, 0, -28, 0, 16, -12, 0, -14, -76, 0, -10, 0, 0, 0, -99, 0, 0, -66, 0, -14, -90, 0, -22, 42, 0, 12, 0, 0, 84, 13, 0, 0, 1, 0, 18, -17, 0, -30, -33, 0, -31, 0, 0, -2, 14, 0, 0, 12, 0, 9, -107, 0, -67, 14, 0, -13, 0, 0, 26, -12, 0, 0, 0, 0, -3, -56, 0, 1, 66, 0, -4, 0, 0, 45, -18, 0, 0, 30, 0, -16, 0, 0, -54, -16, 0, 24, 0, 0, 2, -16, 0, 0, -36, 0, 20, 2, 0, 29, -92, 0, -50, 0, 0, 33, 18, 0, 0, 23, 0, 29, 1, 0, -85, 14, 0, 2, 0, 0, -88, 42, 0, 0, -63, 0, 4, 41, 0, 28, -60, 0, -13, 0, 0, 0, -21, 0, 0, -5, 0, 32, -36, 0, 24, 2, 0, -27, 0, 0, -5, 45, 0, 0, -66, 0, -16, -6, 0, -18, 20, 0, -22, 0, 0, 0, 22, 0, 0, -30, 0, -55, 16, 0, -14, 2, 0, 20, 0, 0, 48, 6, 0, 0, 31, 0, -54, -70, 0, -7, 14, 0, 100, 0, 0, -24, -45, 0, 0, 39, 0, -12, -19, 0, 28, -27, 0, -54, 0, 0, 12, 6, 0, 0, 56, 0, 0, -30, 0, -4, -48, 0, 9, 0, 0, 26, -28, 0, 0, 2, 0, 68, 45, 0, -51, -6, 0, -13, 0, 0, 32, -7, 0, 0, -2, 0, 43, -3, 0, 35, 6, 0, -56, 0, 0, 10, -63, 0, 0, -54, 0, -3, 68, 0, -18, -4, 0, 28, 0, 0, -91, 70, 0, 0, -24, 0, 88, 6, 0, 11, -20, 0, 64, 0, 0, -36, 24, 0, 0, 31, 0, -6, 65, 0, 18, -37, 0, 7, 0, 0, -21, 11, 0, 0, -100, 0, 25, 1, 0, -20, -14, 0, -12, 0, 0, 24, -8, 0, 0, 7, 0, -10, 0, 0, 102, -2, 0, 6, 0, 0, -16, 26, 0, 0, 54, 0, 8, 21, 0, -21, -53, 0, 28, 0, 0, 19, 24, 0, 0, -11, 0, 60, -33, 0, 3, -78, 0, 3, 0, 0, -18, 12, 0, 0, 14, 0, -5, 0, 0, -42, -12, 0, -114, 0, 0, -50, 14, 0, 0, 50, 0, -9, -18, 0, -24, 40, 0, -2, 0, 0, -29, 18, 0, 0, 36, 0, -70, 1, 0, 42, 39, 0, -5, 0, 0, 2, -30, 0, 0, 8, 0, -49, 13, 0, 110, -15, 0, 0, 0, 0, -22, -6, 0, 0, -84, 0, -24, -78, 0, -18, 0, 0, -32, 0, 0, -8, 4, 0, 0, -77, 0, 19, -60, 0, -50, 16, 0, 15, 0, 0, -53, -48, 0, 0, -12, 0, 72, -20, 0, -4, 63, 0, -42, 0, 0, -36, 78, 0, 0, 12, 0, -66, -59, 0, 62, -3, 0, 1, 0, 0, -6, 35, 0, 0, 0, 0, -24, -65, 0, 2, 60, 0, -14, 0, 0, 54, 14, 0, 0, 70, 0, 14, -8, 0, 80, 42, 0, -64, 0, 0, -2, 62, 0, 0, -44, 0, 100, 1, 0, 14, 80, 0, -119, 0, 0, -18, -100, 0, 0, 12, 0, 8, 143, 0, -90, 75, 0, 8, 0, 0, 34, 2, 0, 0, 6, 0, -105, 60, 0, 2, -32, 0, 7, 0, 0, -19, -88, 0, 0, 7, 0, -2, 72, 0, 40, 29, 0, -24, 0, 0, -11, -12, 0, 0, -22, 0, -40, -45, 0, 13, 28, 0, 8, 0, 0, 4, -66, 0, 0, -13, 0, -26, 27, 0, -16, 50, 0, -5, 0, 0, 84, 7, 0, 0, -31, 0, 13, 3, 0, -10, 54, 0, 42, 0, 0, 11, 12, 0, 0, 102, 0, 20, -8, 0, -54, -39, 0, 33, 0, 0, 61, -39, 0, 0, 48, 0, -14, -14, 0, 24, -14, 0, -19, 0, 0, 6, 56, 0, 0, -34, 0, 4, 107, 0, 60, 9, 0, -6, 0, 0, 38, -24, 0, 0, 6, 0, -34, 28, 0, -19, 0, 0, 12, 0, 0, 3, 96, 0, 0, -25, 0, 13, -42, 0, -20, 0, 0, -54, 0, 0, 3, -10, 0, 0, -98, 0, -26, -32, 0, 0, -21, 0, -41, 0, 0, -6, -1, 0, 0, -13, 0, -54, 65, 0, -12, -22, 0, -2, 0, 0, 3, 32, 0, 0, -56, 0, 86, -24, 0, 6, 52, 0, 42, 0, 0, 18, 48, 0, 0, -8, 0, -4, -48, 0, 14, 12, 0, 68, 0, 0, -4, -12, 0, 0, 74, 0, -6, 11, 0, -56, -8, 0, 0, 0, 0, 24, 32, 0, 0, -18, 0, 0, 26, 0, -9, -8, 0, -27, 0, 0, 60, -21, 0, 0, -40, 0, -107, 14, 0, 1, -36, 0, -116, 0, 0, 7, -56, 0, 0, 78, 0, 8, 4, 0, -8, -10, 0, 18, 0, 0, 43, 30, 0, 0, 108, 0, -6, -45, 0, 0, -12, 0, -74, 0, 0, -20, 20, 0, 0, 28, 0, -36, -8, 0, 28, -2, 0, -11, 0, 0, -12, -36, 0, 0, -28, 0, -6, -12, 0, 4, -102, 0, -116, 0, 0, -14, -9, 0, 0, 30, 0, -12, 76, 0, 54, 41, 0, 22, 0, 0, 4, 9, 0, 0, 11, 0, 4, -24, 0, -38, 47, 0, 17, 0, 0, 18, 0, 0, 0, 6, 0, -60, 21, 0, 96, -14, 0, -44, 0, 0, 78, 2, 0, 0, -17, 0, -108, 22, 0, 13, 34, 0, 24, 0, 0, -19, -18, 0, 0, -39, 0, -17, 108, 0, -42, -24, 0, -76, 0, 0, -30, -44, 0, 0, -38, 0, 76, 3, 0, 39, 13, 0, 120, 0, 0, 52, 118, 0, 0, 15, 0, -2, 33, 0, -125, 56, 0, -12, 0, 0, 38, 12, 0, 0, -120, 0, -42, -33, 0, -23, 4, 0, 17, 0, 0, -14, 9, 0, 0, -1, 0, -3, 108, 0, 74, 16, 0, 17, 0, 0, -67, -30, 0, 0, 14, 0, -44, 2, 0, -18, -4, 0, 42, 0, 0, 14, -78, 0, 0, 40, 0, 39, 93, 0, 2, -6, 0, 2, 0, 0, 0, -2, 0, 0, -53, 0, 49, -12, 0, 1, -4, 0, -66, 0, 0, 16, -22, 0, 0, 10, 0, 24, 44, 0, 46, 8, 0, 40, 0, 0, -27, 78, 0, 0, -66, 0, -12, -45, 0, -24, 71, 0, 47, 0, 0, 39, -90, 0, 0, 7, 0, -36, 68, 0, 0, 36, 0, 7, 0, 0, 18, 44, 0, 0, 0, 0, 105, 0, 0, -4, -22, 0, -90, 0, 0, -22, 57, 0, 0, 16, 0, 28, 30, 0, -34, -6, 0, -48, 0, 0, -21, 53, 0, 0, 14, 0, 28, -16, 0, -9, 16, 0, -169, 0, 0, 7, -12, 0, 0, -58, 0, 60, -72, 0, -127, 12, 0, -32, 0, 0, -9, 11, 0, 0, -57, 0, -9, 2, 0, -8, 90, 0, 110, 0, 0, -75, -4, 0, 0, 66, 0, -10, -68, 0, -104, -14, 0, -12, 0, 0, -84, 42, 0, 0, 10, 0, -34, 30, 0, 14, -36, 0, -22, 0, 0, 34, -22, 0, 0, -6, 0, 76, -39, 0, -6, 16, 0, 6, 0, 0, -60, 17, 0, 0, 69, 0, 7, 17, 0, 25, 21, 0, 2, 0, 0, 28, 36, 0, 0, 48, 0, 0, 70, 0, -21, 42, 0, -12, 0, 0, 102, 14, 0, 0, 12, 0, -66, 0, 0, -48, 26, 0, -40, 0, 0, -1, -174, 0, 0, 12, 0, -8, -22, 0, -36], "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.k", "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], [-1], [0], [-3], [1], [0], [1], [-4], [0], [-6], [0], [0], [-1], [3], [0], [0], [-3], [0], [1], [6], [0], [2], [1], [0], [-4], [0], [0], [7], [-6], [0], [0], [-2], [0], [2], [-1], [0], [3], [-7], [0], [1], [0], [0], [-3], [-2], [0], [0], [1], [0], [6], [-13], [0], [-11], [2], [0], [1], [0], [0], [0], [-4], [0], [0], [13], [0], [-2], [7], [0], [-6], [-1], [0], [-8], [0], [0], [-2], [-4], [0], [0], [2], [0], [-1], [-4], [0], [-3], [3], [0], [-7], [0], [0], [-17], [1], [0], [0]]}