# Stored data for newform 9450.2.a.n, downloaded from the LMFDB on 19 April 2024.
{"label": "9450.2.a.n", "space_label": "9450.2.a", "level": 9450, "weight": 2, "hecke_orbit": 14, "hecke_orbit_code": 58546795189380330, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1413876586419374400, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [0, 1]], [13, [-1, 1]], [17, [3, 1]], [19, [7, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{7}-q^{8}+q^{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": "0.019", "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": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.047", "prec": 17}, {"__RealLiteral__": 0, "data": "2.144", "prec": 17}, {"__RealLiteral__": 0, "data": "0.094", "prec": 17}, {"__RealLiteral__": 0, "data": "5.460", "prec": 17}], "related_objects": ["EllipticCurve/Q/9450/n"], "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, 1, 1, 0, 1, -3, 0, -7, 0, 0, 0, 6, 0, 0, -1, 0, -1, 3, 0, 8, -1, 0, 3, 0, 0, -2, 7, 0, 0, 6, 0, -2, 0, 0, -6, 3, 0, 1, 0, 0, 1, -9, 0, 0, 1, 0, -3, -6, 0, -1, -8, 0, 1, 0, 0, -8, -3, 0, 0, 0, 0, -14, 2, 0, -7, 0, 0, -1, 0, 0, -6, -6, 0, 0, 2, 0, 0, 15, 0, -1, 6, 0, -3, 0, 0, -8, -1, 0, 0, 18, 0, 4, -1, 0, 9, 12, 0, 2, 0, 0, -1, 6, 0, 0, 3, 0, 6, 3, 0, -11, 1, 0, 8, 0, 0, 7, -1, 0, 0, 6, 0, 7, 8, 0, 3, -18, 0, -4, 0, 0, 0, 0, 0, 0, 14, 0, -2, 15, 0, 17, 7, 0, 0, 0, 0, 7, 1, 0, 0, -6, 0, 10, 6, 0, 6, -24, 0, -12, 0, 0, -2, 12, 0, 0, 0, 0, -15, 15, 0, 11, 1, 0, -6, 0, 0, 0, 3, 0, 0, 0, 0, -5, 8, 0, 1, 3, 0, -10, 0, 0, -18, -3, 0, 0, -4, 0, 1, 0, 0, 2, -9, 0, -12, 0, 0, -8, -2, 0, 0, -3, 0, 4, 1, 0, -6, -12, 0, -13, 0, 0, -3, 24, 0, 0, -6, 0, -3, 6, 0, -4, 11, 0, -1, 0, 0, -7, -8, 0, 0, -6, 0, 0, -7, 0, 1, -3, 0, 2, 0, 0, -6, 30, 0, 0, -7, 0, -8, 18, 0, 8, -3, 0, 18, 0, 0, 10, 4, 0, 0, 6, 0, 31, 0, 0, 0, -6, 0, -8, 0, 0, -14, 6, 0, 0, 2, 0, -15, 6, 0, 2, -17, 0, -7, 0, 0, 4, 0, 0, 0, -12, 0, -8, -7, 0, -1, 15, 0, 0, 0, 0, 6, 21, 0, 0, -10, 0, -6, -3, 0, 20, -6, 0, 24, 0, 0, -23, 12, 0, 0, 0, 0, -1, 2, 0, -12, -3, 0, 5, 0, 0, 0, -18, 0, 0, 15, 0, -15, 18, 0, 30, -11, 0, -1, 0, 0, 10, 6, 0, 0, 9, 0, 22, 0, 0, -3, 3, 0, -22, 0, 0, 0, -24, 0, 0, 5, 0, -8, 21, 0, -18, -1, 0, -3, 0, 0, -5, 10, 0, 0, 12, 0, 8, 18, 0, 3, 0, 0, -28, 0, 0, 4, 6, 0, 0, -1, 0, 0, 12, 0, 2, -2, 0, 9, 0, 0, 1, 12, 0, 0, 12, 0, 4, 8, 0, 2, -42, 0, 14, 0, 0, 3, 27, 0, 0, -4, 0, -1, 12, 0, 0, 6, 0, 12, 0, 0, -35, 13, 0, 0, 30, 0, -17, 3, 0, -24, -12, 0, 8, 0, 0, 6, 0, 0, 0, 3, 0, -6, 33, 0, -2, 4, 0, -11, 0, 0, 16, 1, 0, 0, 39, 0, -9, 7, 0, 8, 0, 0, 14, 0, 0, 6, 12, 0, 0, 0, 0, 7, 6, 0, 14, -1, 0, 3, 0, 0, 0, -2, 0, 0, -33, 0, -11, 6, 0, -30, -24, 0, 13, 0, 0, 7, 6, 0, 0, 8, 0, -18, 0, 0, 2, -8, 0, 3, 0, 0, 40, -18, 0, 0, -21, 0, 1, -10, 0, -4, 45, 0, -2, 0, 0, -6, 0, 0, 0, -31, 0, 0, -36, 0, -22, 0, 0, 6, 0, 0, -20, 8, 0, 0, 6, 0, 0, 14, 0, -6, 0, 0, -56, 0, 0, -2, 3, 0, 0, 15, 0, -6, 6, 0, 44, -2, 0, 17, 0, 0, 28, 7, 0, 0, 3, 0, 28, -4, 0, 0, -30, 0, 44, 0, 0, 12, -15, 0, 0, 8, 0, 7, 6, 0, -37, 1, 0, -15, 0, 0, 1, 0, 0, 0, -48, 0, 31, -6, 0, -21, 3, 0, 0, 0, 0, 10, 15, 0, 0, 6, 0, 3, -27, 0, -10, -20, 0, 6, 0, 0, 18, -24, 0, 0, 0, 0, 34, 23, 0, -12, -42, 0, 8, 0, 0, 0, -12, 0, 0, 1, 0, -2, -9, 0, 44, 12, 0, 3, 0, 0, -18, -5, 0, 0, -30, 0, 14, 0, 0, 18, -18, 0, 8, 0, 0, -15, 48, 0, 0, 15, 0, -18, 27, 0, -4, -30, 0, 11, 0, 0, -26, 1, 0, 0, 6, 0, 31, -10, 0, -6, 0, 0, -34, 0, 0, -9, 6, 0, 0, -22, 0, 0, -12, 0, 8, 3, 0, -3, 0, 0, 16, 22, 0, 0, 21, 0, -2, 0, 0, 24, -6, 0, -4, 0, 0, -5, -12, 0, 0, 8, 0, -21, -42, 0, 0, 18, 0, 1, 0, 0, 4, 3, 0, 0, -6, 0, -1, 5, 0, -10, 0, 0, -9, 0, 0, -12, 0, 0, 0, -8, 0, -18, 54, 0, -28, -3, 0, 0, 0, 0, 14, 28, 0, 0, 45, 0, -20, -4, 0, -6, -15, 0, -31, 0, 0, 1, -3, 0, 0, 0, 0, -12, 21, 0, -20, -2, 0, 2, 0, 0, 11, -9, 0, 0, -12, 0, 10, -1, 0, -12, 3, 0, 56, 0, 0, -12, 48, 0, 0, -4, 0, -8, 0, 0, -8, -2, 0, 42, 0, 0, 40, -14, 0, 0, -3, 0, -20, -3, 0, -27, 0, 0, -7, 0, 0, 4, -21, 0, 0, 1, 0, -12, 24, 0, 27, 0, 0, -6, 0, 0, 28, -12, 0, 0, 12, 0, 0, 35, 0, -13, -6, 0, 32, 0, 0, -30, 0, 0, 0, 17, 0, -3, 9, 0, -7, 24, 0, 12, 0, 0, 16, -8, 0, 0, 24, 0, 36, -6, 0, 0, -12, 0, -14, 0, 0, -3, 0, 0, 0, 6, 0, -33, 18, 0, 33, 2, 0, -4, 0, 0, 13, 11, 0, 0, -36, 0, 4, -16, 0, -1, -6, 0, 0, 0, 0, -39, -9, 0, 0, 9, 0, -7, -12, 0, -25, -8, 0, 0, 0, 0, 46, -14, 0, 0, 0, 0, 18, -6, 0, -12, 63, 0, 2, 0, 0, 0, -12, 0, 0, -7, 0, -6, 24, 0, 2, -14, 0, 1, 0, 0, -1, -3, 0, 0, 42, 0, -35, 0, 0, 2, 3, 0, 8, 0, 0, 33, -15, 0, 0, 11, 0, -6, -39, 0, 2, 30, 0, 24, 0, 0, -17, -13, 0, 0, -18, 0, 46, -7, 0, -6, 0, 0, 11, 0, 0, -8, -6, 0, 0, 18, 0, 0, -6, 0, 18, -2, 0, 8, 0, 0, 55, -3, 0, 0, 6, 0, 10, -40, 0, 18, 51, 0, -7, 0, 0, 21, -24, 0, 0, -1, 0, 10, -24, 0, 0, 4, 0, -45, 0, 0, 46, 2, 0, 0, 42, 0, 37, 6, 0, 0, 6, 0, 5, 0, 0, 31, 0, 0, 0, 0, 0, 36, 24, 0, -10, 22, 0, 0, 0, 0, -16, -6, 0, 0, 3, 0, 34, 20, 0, -8, 15, 0, 7, 0, 0, -6, -27, 0, 0, 0, 0, -14, 24, 0, 20, 6, 0, 0, 0, 0, 0, 56, 0, 0, -48, 0, 12, 2, 0, -3, 57, 0, 18, 0, 0, -15, -21, 0, 0, 6, 0, -6, 0, 0, 53, -44, 0, 2, 0, 0, 0, -17, 0, 0, -12, 0, 40, -28, 0, -7, -39, 0, -54, 0, 0, -3, -3, 0, 0, -28, 0, 4, -45, 0, -64, 0, 0, 30, 0, 0, -29, -44, 0, 0, 42, 0, 0, -12, 0, 15, -6, 0, -40, 0, 0, -8, -15, 0, 0, -7, 0, -6, -48, 0, -8, 37, 0, -1, 0, 0, -11, 15, 0, 0, 48, 0, 56, -1, 0, 0, 12, 0, 20, 0, 0, 48, 24, 0, 0, -31, 0, 6, 36, 0, -61, 21, 0, -3, 0, 0, -23, 0, 0, 0, 6, 0, -23, -10, 0, -15, 36, 0, 0, 0, 0, -6, 18, 0, 0, -3, 0, 27, 24, 0, 8, 10, 0, 20, 0, 0, 52, -6, 0, 0, 0, 0, -16, -18, 0, 24, 0, 0, 4, 0, 0, 0, 3, 0, 0, -34, 0, -23, 0, 0, 5, 12, 0, 42, 0, 0, -36, -8, 0, 0, -57, 0, 9, 0, 0, 12, 48, 0, -33, 0, 0, -1, -54, 0, 0, 2, 0, 9, -3, 0, -40, -44, 0, -12, 0, 0, 98, -3, 0, 0, 12, 0, 10, 18, 0, 5, 0, 0, -4, 0, 0, 30, -6, 0, 0, -14, 0, 0, -60, 0, 18, -18, 0, 18, 0, 0, 2, -8, 0, 0, 3, 0, -47, 15, 0, -48, -36, 0, 32, 0, 0, -15, -27, 0, 0, 18, 0, -27, -36, 0, 0, 4, 0, 30, 0, 0, -62, -11, 0, 0, 3, 0, -50, 26, 0, -1, 24, 0, -43, 0, 0, -6, 0, 0, 0, -31, 0, 10, 6, 0, 53, 6, 0, 0, 0, 0, -2, 34, 0, 0, -30, 0, 1, 9, 0, -6, 0, 0, 8, 0, 0, 22, 69, 0, 0, 0, 0, 12, -60, 0, 7, -8, 0, -3, 0, 0, 0, 3, 0, 0, 39, 0, -45, -16, 0, -22, -12, 0, 8, 0, 0, -21, -57, 0, 0, 2, 0, 0, 0, 0, -7, -24, 0, 6, 0, 0, -27, 4, 0, 0, -48, 0, -50, 5, 0, 12, 3, 0, -46, 0, 0, -8, 21, 0, 0, 21, 0, 42, -45, 0, -4, 0, 0, -18, 0, 0, -2, -1, 0, 0, -18, 0, -11, -4, 0, -3, 42, 0, -16, 0, 0, 6, 60, 0, 0, 1, 0, -5, 12, 0, 4, 10, 0, 0, 0, 0, -32, 9, 0, 0, -39, 0, 13, 12, 0, 0, -48, 0, 56, 0, 0, 8, -60, 0, 0, 18, 0, -54, 3, 0, 20, 28, 0, 3, 0, 0, -44, 0, 0, 0, -24, 0, 0, -14, 0, -28, 54, 0, 0, 0, 0, -45, -72, 0, 0, 20, 0, 4, 24, 0, 7, 6, 0, 15, 0, 0, -20, 31, 0, 0, 0, 0, 73, -1, 0, 3, -9, 0, -31, 0, 0, 0, -6, 0, 0, 12, 0, -21, -84, 0, -5, 20, 0, 2, 0, 0, 4, -2, 0, 0, -105, 0, -47, -11, 0, 9, -54, 0, 53, 0, 0, 12, 6, 0, 0, -10, 0, 1, 15, 0, -18, 12, 0, -3, 0, 0, -54, -56, 0, 0, 33, 0, 4, 12, 0, -48, 0, 0, 7, 0, 0, 4, -9, 0, 0, 8, 0, 0, -6, 0, 5, 8, 0, 2, 0, 0, 46, -42, 0, 0, -12, 0, 46, -40, 0, 14, 6, 0, -1, 0, 0, 3, -12, 0, 0, 20, 0, 3, -3, 0, 0, 27, 0, 0, 0, 0, -2, 7, 0, 0, -18, 0, -2, -4, 0, 21, 57, 0, 20, 0, 0, -1, 0, 0, 0, 12, 0, -24, 3, 0, 38, -27, 0, 0, 0, 0, -4, 6, 0, 0, -36, 0, -2, -28, 0, 12, -6, 0, -36, 0, 0, -12, -72, 0, 0, 0, 0, -35, -48, 0, 41, 13, 0, 6, 0, 0, 0, -32, 0, 0, -30, 0, 56, 30, 0, 0, -63, 0, -39, 0, 0, -17, -6, 0, 0, 3, 0, -9, 0, 0, 47, 7, 0, -24, 0, 0, 52, -12, 0, 0, -36, 0, -59, -16, 0, 8, 42, 0, -46, 0, 0, -24, -18, 0, 0, -36, 0, 6, -81, 0, -8, 0, 0, 12, 0, 0, -8, 14, 0, 0, 87, 0, 0, 3, 0, 0, 66, 0, -36, 0, 0, -6, 24, 0, 0, 33, 0, -18, -126, 0, -18, -33, 0, -2, 0, 0, 18, 4, 0, 0, 78, 0, -26, -13, 0, -11, 15, 0, -10, 0, 0, 36, -24, 0, 0, -4, 0, 16, 54, 0, -28, 1, 0, 6, 0, 0, -28, 0, 0, 0, 18, 0, 17, 39, 0, 9, -6, 0, 0, 0, 0, -9, 42, 0, 0, 7, 0, 12, 78, 0, -31, 25, 0, 8, 0, 0, 28, 0, 0, 0, 0, 0, 34, -46, 0, 14, 15, 0, 80, 0, 0, 0, 84, 0, 0, -18, 0, 6, 6, 0, -4, 12, 0, -63, 0, 0, -2, -2, 0, 0, -6, 0, 8, 0, 0, 12, 9, 0, 50, 0, 0, 7, -84, 0, 0, 6, 0, -24, -72, 0, 7, -2, 0, 14, 0, 0, 90, -1, 0, 0, -6, 0, -50, 1, 0, 3, 33, 0, 0, 0, 0, -42, -75, 0, 0, 35, 0, 0, -42, 0, -14, -2, 0, -3, 0, 0, -64, -8, 0, 0, 42, 0, 22, -33, 0, 15, 60, 0, -58, 0, 0, -11, -6, 0, 0, 6, 0, 39, -42, 0, 0, -2, 0, -30, 0, 0, -2, -24, 0, 0, -24, 0, -8, 17, 0, 13, -42, 0, 10, 0, 0, 18, 0, 0, 0, -46, 0, 7, -18, 0, -7, 6, 0, 0, 0, 0, -59, -11, 0, 0, -18, 0, 79, 8, 0, 6, -42, 0, -4, 0, 0, -18, 6, 0, 0, 0, 0, 6, -21, 0, 38, -18, 0, 2, 0, 0, 0, -8, 0, 0, -24, 0, -54, -55, 0, 3, 12, 0, -40, 0, 0, -6, 12, 0, 0, -10, 0, 40, 0, 0, 8, -18, 0, -51, 0, 0, -25, 7, 0, 0, 0, 0, 28, -21, 0, 24, 54, 0, -38, 0, 0, 1, 39, 0, 0, -10, 0, 24, -15, 0, 20, 0, 0, -4, 0, 0, -18, 45, 0, 0, -48, 0, 0, -46, 0, -2, -30, 0, 80, 0, 0, -42, -24, 0, 0, -37, 0, -6, 12, 0, -58, 0, 0, -6, 0, 0, 2, -5, 0, 0, -21, 0, -112, -31, 0, 0, 18, 0, -70, 0, 0, 0, -51, 0, 0, -36, 0, -24, 18, 0, 62, 10, 0, -22, 0, 0, -2, 0, 0, 0, -3, 0, -80, 16, 0, 6, 48, 0, 77, 0, 0, -3, 3, 0, 0, -34, 0, -20, -30, 0, -73, 8, 0, -15, 0, 0, -20, -7, 0, 0, 0, 0, 108, 6, 0, 27, 15, 0, 54, 0, 0, 0, 54, 0, 0, 14, 0, -24, 81, 0, -25, -20, 0, -6, 0, 0, 58, 0, 0, 0, -39, 0, 11, 0, 0, -56, -60, 0, 23, 0, 0, 48, 12, 0, 0, -12, 0, -2, 24, 0, 77, 3, 0, -57, 0, 0, 73, -18, 0, 0, -15, 0, -14, 15, 0, 21, 0, 0, 62, 0, 0, -6, -21, 0, 0, 6, 0, 0, 3, 0, 1, -53, 0, 44, 0, 0, -18, -2, 0, 0, -54, 0, -49, 0, 0, 17, -72, 0, -36, 0, 0, 12, 6, 0, 0, -40, 0, 28, 3, 0, 0, 7, 0, 39, 0, 0, -62, 54, 0, 0, 15, 0, -5, 3, 0, 3, -66, 0, -8, 0, 0, 28, 0, 0, 0, -4, 0, 45, -69, 0, 72, 64, 0, 0, 0, 0, -65, -30, 0, 0, 18, 0, -17, 29, 0, 44, 30, 0, 16, 0, 0, -42, 0, 0, 0, 0, 0, 12, -42, 0, -27, -15, 0, 6, 0, 0, 0, 40, 0, 0, -6, 0, -56, 8, 0, 15, 12, 0, -5, 0, 0, 7, -18, 0, 0, 6, 0, 48, 0, 0, -55, 8, 0, -37, 0, 0, -30, 1, 0, 0, 15, 0, -45, 11, 0, -15, 12, 0, 56, 0, 0, -48, 48, 0, 0, -56, 0, 1, -99, 0, -46, 0, 0, -12, 0, 0, -56, -20, 0, 0, 3, 0, 0, -48, 0, -24, -51, 0, -10, 0, 0, 31, -48, 0, 0, -6, 0, -36, -96, 0, 45, 61, 0, -21, 0, 0, -10, 3, 0, 0, 42, 0, -62, 23, 0, 0, -9, 0, 36, 0, 0, -6, 126, 0, 0, 23, 0, 10, -45, 0, -22, 15, 0, -36, 0, 0, -98, 0, 0, 0, -78, 0, 2, 6, 0, -18, 0, 0, 0, 0, 0, 3, -48, 0, 0, -27, 0, -24, -3, 0, 28, -8, 0, -10, 0, 0, -44, -20, 0, 0, 0, 0, 22, -52, 0, 6, 60, 0, -79, 0, 0, 0, -3, 0, 0, 16, 0, 18, -21, 0, 89, -24, 0, 0, 0, 0, -74, -4, 0, 0, 24, 0, 40, 0, 0, -3, 63, 0, -73, 0, 0, 34, -78, 0, 0, 23, 0, 0, -39, 0, 28, -5, 0, -12, 0, 0, 43, -42, 0, 0, 24, 0, 22, 36, 0, 8, 0, 0, -100, 0, 0, 57, -21, 0, 0, -9, 0, 0, 75, 0, -22, -12, 0, -48, 0, 0, 18, 33, 0, 0, -42, 0, 2, 1, 0, 54, -48, 0, -85, 0, 0, -2, 60, 0, 0, -9, 0, 3, 120, 0, 0, 40, 0, 44, 0, 0, 88, 12, 0, 0, -30, 0, -18, -98, 0, 3, 42, 0, 5, 0, 0, -12, -66, 0, 0, -10, 0, -18, -30, 0, -88, -5, 0, 0, 0, 0, -44, 4, 0, 0, 6, 0, 64, -30, 0, 6, -12, 0, 28, 0, 0, 14, -24, 0, 0, 0, 0, 60, 24, 0, -8, -18, 0, 18, 0, 0, 0, -18, 0, 0, -105, 0, -50, -2, 0, 8, 87, 0, 72, 0, 0, -3, -105, 0, 0, 47, 0, -15, 0, 0, -22, 48, 0, 36, 0, 0, 13, -32, 0, 0, 18, 0, 28, 15, 0, 27, -3, 0, -119, 0, 0, -18, 36, 0, 0, 27, 0, 36, -30, 0, 16, 0, 0, -4, 0, 0, -26, -30, 0, 0, -6, 0, 0, 62, 0, 11, 66, 0, 4, 0, 0, -3, -3, 0, 0, 50, 0, -26, 78, 0, 0, 1, 0, -24, 0, 0, 22, 43, 0, 0, 42, 0, 2, 6, 0, 0, 48, 0, 54, 0, 0, 31, -12, 0, 0, -10, 0, -6, 54, 0, -36, -53, 0, -6, 0, 0, -2, 0, 0, 0, -12, 0, -38, 2, 0, -34, 12, 0, 0, 0, 0, 30, 48, 0, 0, -1, 0, -9, -24, 0, 53, 6, 0, 0, 0, 0, -13, -8, 0, 0, 0, 0, -49, -22, 0, -69, 12, 0, -1, 0, 0, 0, -84, 0, 0, -12, 0, 60, 99, 0, 68, -7, 0, 8, 0, 0, -64, 3, 0, 0, 12, 0, 36, 0, 0, -3, -12, 0, -22, 0, 0, -39, 0, 0, 0, 45, 0, 16, 24, 0, -4, 22, 0, 12, 0, 0, -62, -8, 0, 0, 57, 0, -45, 21, 0, 57, 0, 0, 47, 0, 0, -2, 0, 0, 0, 0, 0, 0, 42, 0, 92, 7, 0, 24, 0, 0, -8, -6, 0, 0, 12, 0, -14, 27, 0, -4, -33, 0, 26, 0, 0, 48, -42, 0, 0, 50, 0, -5, -102, 0, 0, -12, 0, -3, 0, 0, -70, 46, 0, 0, -27, 0, 36, 8, 0, -21, 6, 0, -10, 0, 0, -21, 0, 0, 0, -42, 0, 45, -18, 0, -64, 4, 0, 0, 0, 0, 54, 18, 0, 0, 144, 0, -4, 2, 0, 1, -24, 0, 28, 0, 0, 18, -12, 0, 0, 11, 0, 4, -24, 0, -108, 3, 0, -42, 0, 0, 0, 16, 0, 0, 6, 0, -92, -6, 0, -60, 0, 0, -34, 0, 0, -1, 168, 0, 0, 5, 0, -12, 0, 0, -10, -4, 0, -10, 0, 0, -68, 0, 0, 0, -33, 0, 32, 32, 0, -9, -24, 0, 35, 0, 0, 39, 51, 0, 0, -13, 0, -12, 54, 0, 84, 0, 0, 48, 0, 0, 19, -56, 0, 0, 27, 0, 0, -8, 0, 60, -30, 0, 80, 0, 0, -18, 9, 0, 0, 54, 0, -3, -6, 0, 17, -20, 0, -28, 0, 0, 0, -3, 0, 0, 78, 0, -29, 44, 0, 0, 24, 0, 44, 0, 0, 24, -6, 0, 0, 0, 0, 14, 12, 0, 17, 28, 0, -54, 0, 0, 18, 0, 0, 0, 15, 0, -8, 45, 0, 72, -84, 0, 0, 0, 0, -20, -30, 0, 0, -4, 0, -24, 36, 0, 26, -7, 0, -6, 0, 0, 67, -15, 0, 0, 0, 0, 46, 20, 0, -31, 96, 0, 56, 0, 0, 0, 0, 0, 0, -73, 0, 1, 0, 0, -52, -3, 0, 9, 0, 0, 0, 31, 0, 0, -3, 0, -107, 0, 0, 6, -57, 0, -9, 0, 0, -12, -33, 0, 0, 21, 0, 84, 75, 0, 17, 5, 0, -20, 0, 0, 2, -2, 0, 0, 12, 0, 94, -4, 0, 2, 0, 0, 16, 0, 0, 105, 30, 0, 0, 47, 0, 11, -90, 0, -82, -9, 0, 54, 0, 0, 2, -53, 0, 0, -105, 0, -36, -12, 0, -6, 3, 0, -16, 0, 0, 10, 42, 0, 0, -1, 0, -15, 30, 0, 0, 18, 0, -12, 0, 0, 90, 3, 0, 0, -42, 0, 40, 54, 0, 56, -39, 0, -77, 0, 0, -33, 0, 0, 0, -4, 0, -12, -99, 0, 9, 48, 0, 0, 0, 0, 106, -7, 0, 0, -18, 0, -68, -4, 0, 9, 60, 0, -58, 0, 0, -8, 102, 0, 0, 0, 0, 6, 0, 0, -23, -5, 0, -8, 0, 0, 0, -2, 0, 0, 18, 0, -14, -46, 0, 42, 18, 0, 95, 0, 0, 12, 48, 0, 0, -46, 0, 40, -33, 0, -16, -14, 0, -6, 0, 0, -107, 1, 0, 0, -12, 0, 8, -3, 0, 12, 93, 0, 11, 0, 0, -20, -72, 0, 0, -3, 0, 3, 60, 0, -103, 0, 0, -27, 0, 0, -20, 0, 0, 0, 72, 0, 0, 2, 0, -7, -33, 0, 50, 0, 0, 18, -6, 0, 0, 2, 0, 4, 12, 0, -10, -21, 0, -57, 0, 0, -14, -20, 0, 0, -30, 0, -14, 1, 0, 0, -6, 0, 16, 0, 0, -12, -108, 0, 0, 24, 0, -3, 6, 0, 10, -38, 0, 27, 0, 0, -20, 0, 0, 0, 42, 0, -56, 4, 0, -6, -54, 0, 0, 0, 0, 36, -60, 0, 0, 2, 0, 28, 0, 0, -76, -12, 0, 6, 0, 0, 88, 36, 0, 0, 0, 0, 1, 12, 0, 72, 33, 0, 90, 0, 0, 0, 6, 0, 0, 35, 0, 48, -24, 0, 11, -41, 0, -13, 0, 0, 35, -6, 0, 0, -93, 0, -110, 0, 0, 32, -45, 0, 31, 0, 0, 30, 21, 0, 0, -56, 0, -30, 24, 0, -100, 0, 0, 63, 0, 0, -17, 39, 0, 0, -72, 0, -13, 17, 0, 6, 0, 0, 2, 0, 0, -3, -3, 0, 0, 9, 0, 0, -108, 0, -60, -47, 0, -7, 0, 0, -32, 24, 0, 0, -6, 0, -8, -52, 0, 12, -36, 0, -34, 0, 0, 36, -21, 0, 0, 59, 0, 16, 60, 0, -88, -8, 0, -42, 0, 0, -8, 46, 0, 0, 30, 0, 0, 24, 0, 18, -12, 0, 44, 0, 0, 36, 0, 0, 0, -6, 0, 81, -108, 0, 70, 8, 0, 0, 0, 0, -2, -12, 0, 0, -12, 0, 22, 8, 0, -14, -12, 0, 18, 0, 0, -87, 111, 0, 0, 0, 0, -3, 6, 0, -8, 0, 0, -66, 0, 0, 0, 36, 0, 0, 84, 0, -44, 6, 0, -24, -30, 0, -40, 0, 0, -33, -102, 0, 0, 18, 0, 126, 0, 0, -144, 18, 0, 33, 0, 0, 4, 2, 0, 0, 75, 0, -53, -18, 0, -4, 21, 0, 36, 0, 0, -78, 96, 0, 0, 26, 0, 13, 126, 0, -1, 11, 0, -15, 0, 0, -17, 10, 0, 0, 21, 0, 0, -36, 0, 24, -72, 0, 14, 0, 0, 4, 39, 0, 0, -16, 0, -54, -45, 0, -18, 28, 0, -1, 0, 0, 88, -6, 0, 0, 39, 0, 2, 28, 0, 0, -81, 0, 44, 0, 0, -18, -102, 0, 0, -17, 0, -39, 102, 0, 50, -9, 0, 6, 0, 0, 56, 0, 0, 0, 0, 0, -95, 9, 0, -42, 42, 0, 0, 0, 0, -7, 48, 0, 0, -12, 0, -78, -24, 0, -72, 31, 0, -25, 0, 0, -2, -8, 0, 0, 0, 0, -54, -28, 0, 0, -48, 0, 72, 0, 0, 0, 36, 0, 0, -34, 0, 46, 114, 0, 4, -14, 0, -15, 0, 0, 22, -80, 0, 0, 24, 0, 28, 0, 0, -84, 33, 0, -14, 0, 0, 18, 93, 0, 0, -6, 0, -6, 33, 0, 11, 4, 0, -12, 0, 0, 16, 63, 0, 0, -12, 0, -4, 2, 0, 2, 0, 0, 20, 0, 0, 6, -12, 0, 0, -8, 0, 0, 105, 0, -1, -12, 0, -9, 0, 0, -29, -50, 0, 0, 48, 0, -18, -7, 0, 84, -6, 0, -8, 0, 0, -6, 33, 0, 0, 24, 0, 72, 57, 0, 0, -7, 0, 2, 0, 0, 8, -14, 0, 0, 12, 0, 19, -90, 0, 1, 12, 0, 86, 0, 0, 6, 0, 0, 0, 50, 0, -1, 0, 0, -37, -3, 0, -33, 0, 0, 90, 0, 0, 0, 15, 0, 56, 42, 0, 75, 0, 0, -58, 0, 0, -35, -60, 0, 0, 0, 0, 42, 27, 0, 108, 14, 0, 2, 0, 0, 0, 3, 0, 0, -3, 0, 31, 64, 0, 8, -36, 0, 8, 0, 0, -42, 66, 0, 0, -22, 0, 33, 0, 0, 16, -15, 0, -60, 0, 0, 16, 58, 0, 0, -12, 0, 45, 11, 0, 6, 9, 0, 0, 0, 0, -6, -6, 0, 0, -39, 0, 42, 21, 0, 86, 0, 0, 2, 0, 0, -44, 30, 0, 0, 75, 0, 0, 2, 0, 24, -6, 0, 5, 0, 0, 24, 24, 0, 0, 8, 0, -17, 87, 0, -70, -13, 0, 42, 0, 0, -28, -10, 0, 0, 75, 0, 16, -18, 0, 0, -144, 0, -28, 0, 0, 46, 66, 0, 0, -7, 0, 18, 108, 0, 62, 7, 0, -6, 0, 0, 18, 0, 0, 0, 78, 0, 46, 59, 0, 11, -3, 0, 0, 0, 0, 18, -24, 0, 0, -79, 0, -8, 105, 0, -28, -6, 0, 42, 0, 0, -128, 4, 0, 0, 0, 0, 20, 18, 0, -6, 84, 0, -32, 0, 0, 0, 84, 0, 0, -6, 0, 21, 30, 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": "9450.2.a.n", "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], [1], [1], [0], [1], [-3], [0], [-7], [0], [0], [0], [6], [0], [0], [-1], [0], [-1], [3], [0], [8], [-1], [0], [3], [0], [0], [-2], [7], [0], [0], [6], [0], [-2], [0], [0], [-6], [3], [0], [1], [0], [0], [1], [-9], [0], [0], [1], [0], [-3], [-6], [0], [-1], [-8], [0], [1], [0], [0], [-8], [-3], [0], [0], [0], [0], [-14], [2], [0], [-7], [0], [0], [-1], [0], [0], [-6], [-6], [0], [0], [2], [0], [0], [15], [0], [-1], [6], [0], [-3], [0], [0], [-8], [-1], [0], [0]]}