# Stored data for newform 8470.2.a.w, downloaded from the LMFDB on 25 April 2024.
{"label": "8470.2.a.w", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 23, "hecke_orbit_code": 99079191835713814, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2197140496096953407, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 1]], [13, [-1, 1]], [17, [-4, 1]], [19, [3, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33880, "fricke_eigenval": 1, "atkin_lehner_string": "-++-", "analytic_conductor": 67.63329051202449, "hecke_ring_index": 1, "level_radical": 770, "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": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "1.022", "prec": 17}, {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "2.071", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.267", "prec": 17}], "related_objects": ["EllipticCurve/Q/8470/w"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, 1], [11, -1]], "trace_display": [1, -1, -1, -1], "traces": [0, 1, 1, -1, 1, -1, -1, -1, 1, -2, -1, 0, -1, 1, -1, 1, 1, 4, -2, -3, -1, 1, 0, -3, -1, 1, 1, 5, -1, 2, 1, 0, 1, 0, 4, 1, -2, 8, -3, -1, -1, 6, 1, -10, 0, 2, -3, -4, -1, 1, 1, -4, 1, 6, 5, 0, -1, 3, 2, 3, 1, -14, 0, 2, 1, -1, 0, -2, 4, 3, 1, -12, -2, -6, 8, -1, -3, 0, -1, 17, -1, 1, 6, -3, 1, -4, -10, -2, 0, 8, 2, -1, -3, 0, -4, 3, -1, -2, 1, 0, 1, 17, -4, -8, 1, -1, 6, -8, 5, -4, 0, -8, -1, -3, 3, 3, 2, -2, 3, -4, 1, 0, -14, -6, 0, -1, 2, -17, 1, 10, -1, -15, 0, 3, -2, -5, 4, -7, 3, -3, 1, 4, -12, 0, -2, -2, -6, -1, 8, -16, -1, 3, -3, -8, 0, 0, -1, -13, 17, -6, -1, 3, 1, 6, 6, 0, -3, 6, 1, -12, -4, 6, -10, 6, -2, -1, 0, -3, 8, 2, 2, -7, -1, 14, -3, -8, 0, 0, -4, -5, 3, -25, -1, 1, -2, 1, 1, -10, 0, -14, 1, 2, 17, -2, -4, -6, -8, 6, 1, 0, -1, -10, 6, 12, -8, 10, 5, 0, -4, 6, 0, 4, -8, -2, -1, -2, -3, 24, 3, 6, 3, 0, 2, -19, -2, 4, 3, -17, -4, 15, 1, -10, 0, -16, -14, -1, -6, -3, 0, 3, -1, -12, 2, 0, -17, 4, 1, 14, 10, -8, -1, -4, -15, -23, 0, -6, 3, -8, -2, 17, -5, 20, 4, 1, -7, 0, 3, 22, -3, 0, 1, -1, 4, 1, -12, -3, 0, -6, -2, -1, -2, 2, -6, -21, -1, -3, 8, 0, -16, -3, -1, 10, 3, -17, -3, 14, -8, 12, 0, 8, 0, -20, -1, 18, -13, -2, 17, -12, -6, 0, -1, 8, 3, -12, 1, 1, 6, 4, 6, 4, 0, 6, -3, -16, 6, 2, 1, -7, -12, 3, -4, 0, 6, -1, -10, -3, 6, -14, -2, 15, -1, 5, 0, 2, -3, 12, 8, 4, 2, -24, 2, -10, -7, 0, -1, 6, 14, -18, -3, -12, -8, -6, 0, -16, 0, 1, -4, 2, -5, -20, 3, 17, -25, 28, -1, 0, 1, 20, -2, -18, 1, -12, 1, 15, -10, -17, 0, -22, -14, -3, 1, -10, 2, 0, 17, -1, -2, 0, -4, 6, -6, 7, -8, -3, 6, 3, 1, 3, 0, -13, -1, -32, -10, 8, 6, 4, 12, 14, -8, 0, 10, -17, 5, -20, 0, 2, -4, 9, 6, -24, 0, -2, 4, -8, -8, -8, -2, 16, -1, -31, -2, 0, -3, -3, 24, 1, 3, 5, 6, 20, 3, 2, 0, 41, 2, 0, -19, 11, -2, 2, 4, 13, 3, 0, -17, -3, -4, -12, 15, 22, 1, 8, -10, -3, 0, 2, -16, 3, -14, -6, -1, 6, -6, 8, -3, 0, 0, 12, 3, -4, -1, -6, -12, 20, 2, -17, 0, 12, -17, 29, 4, 6, 1, -15, 14, 8, 10, 0, -8, -6, -1, -34, -4, 17, -15, 1, -23, 0, 0, -14, -6, -6, 3, 6, -8, 8, -2, -2, 17, 0, -5, 10, 20, 7, 4, 4, 1, -2, -7, 28, 0, -6, 3, -17, 22, 8, -3, 12, 0, -10, 1, 0, -1, 21, 4, 3, 1, -1, -12, -11, -3, -20, 0, 25, -6, -3, -2, 10, -1, -1, -2, 3, 2, 0, -6, 2, -21, -11, -1, 0, -3, 10, 8, 40, 0, 4, -16, 14, -3, -1, -1, 22, 10, 4, 3, 0, -17, 14, -3, 2, 14, -4, -8, 32, 12, 6, 0, 6, 8, 25, 0, -15, -20, -8, -1, 1, 18, 0, -13, 32, -2, -20, 17, 10, -12, 17, -6, 1, 0, 24, -1, 15, 8, 4, 3, -10, -12, 12, 1, 0, 1, 0, 6, -42, 4, 15, 6, 12, 4, -2, 0, -45, 6, -4, -3, -3, -16, -6, 6, 2, 2, 0, 1, 15, -7, 5, -12, -23, 3, 2, -4, -24, 0, -34, 6, 7, -1, -6, -10, 6, -3, 12, 6, 0, -14, 3, -2, 24, 15, 19, -1, -16, 5, -24, 0, -4, 2, -17, -3, 0, 12, -34, 8, 0, 4, 0, 2, -15, -24, -24, 2, 8, -10, 10, -7, 2, 0, -26, -1, 13, 6, -40, 14, 11, -18, 1, -3, 0, -12, 18, -8, 3, -6, 24, 0, 16, -16, 6, 0, 8, 1, 31, -4, 12, 2, -3, -5, 22, -20, 0, 3, 0, 17, 4, -25, 8, 28, 3, -1, 28, 0, -14, 1, -15, 20, 0, -2, 8, -18, -18, 1, 0, -12, 10, 1, 13, 15, 12, -10, 23, -17, 3, 0, -14, -22, 6, -14, -21, -3, -16, 1, -16, -10, 0, 2, -3, 0, -17, 17, 6, -1, -48, -2, -20, 0, -6, -4, 30, 6, 2, -6, 38, 7, 20, -8, 0, -3, -18, 6, 19, 3, -22, 1, 4, 3, -6, 0, 0, -13, -28, -1, -25, -32, 1, -10, 12, 8, 0, 6, -1, 4, -24, 12, -43, 14, -6, -8, 24, 0, -36, 10, 6, -17, 36, 5, -6, -20, 1, 0, 0, 2, -2, -4, 4, 9, 1, 6, 34, -24, 21, 0, 28, -2, -8, 4, 3, -8, 36, -8, 17, -8, 0, -2, 12, 16, -2, -1, 3, -31, 0, -2, 24, 0, -10, -3, 7, -3, -28, 24, -34, 1, -39, 3, 0, 5, -14, 6, 15, 20, 16, 3, -12, 2, -12, 0, 8, 41, 16, 2, -36, 0, -3, -19, 20, 11, 0, -2, 54, 2, -18, 4, 54, 13, -18, 3, 5, 0, 38, -17, -6, -3, 12, -4, 9, -12, 25, 15, 0, 22, 7, 1, -31, 8, 16, -10, -1, -3, -4, 0, 12, 2, -3, -16, 3, 3, -1, -14, -3, -6, 0, -1, 8, 6, -32, -6, 10, 8, -4, -3, 30, 0, -17, 0, -6, 12, 14, 3, 27, -4, 40, -1, 0, -6, 12, -12, -2, 20, -18, 2, 34, -17, 7, 0, 51, 12, 2, -17, 6, 29, 44, 4, -7, 6, 0, 1, 6, -15, 17, 14, 1, 8, -48, 10, -59, 0, -6, -8, -56, -6, -8, -1, 14, -34, 16, -4, 0, 17, -15, -15, 0, 1, 26, -23, 1, 0, 10, 0, -3, -14, -2, -6, -60, -6, -62, 3, -12, 6, 0, -8, 30, 8, 8, -2, 16, -2, -10, 17, 24, 0, -3, -5, 12, 10, 10, 20, 0, 7, 13, 4, 0, 4, 8, 1, 50, -2, -6, -7, -54, 28, 13, 0, 18, -6, 12, 3, -4, -17, 30, 22, -51, 8, 0, -3, 6, 12, 2, 0, 20, -10, 16, 1, -9, 0, -25, -1, 2, 21, -3, 4, -58, 3, -2, 1, 0, -1, -24, -12, 20, -11, -8, -3, -6, -20, 34, 0, -6, 25, 0, -6, -28, -3, 36, -2, 62, 10, 0, -1, 8, -1, 42, -2, -50, 3, -56, 2, 19, 0, 18, -6, -6, 2, -34, -21, 12, -11, -4, -1, 0, 0, 30, -3, -15, 10, 12, 8, 17, 40, -42, 0, 12, 4, 22, -16, 20, 14, -15, -3, -6, -1, 0, -1, -53, 22, 10, 10, 10, 4, -48, 3, 0, 0, -6, -17, 56, 14, 16, -3, -38, 2, -18, 14, 0, -4, 24, -8, 1, 32, -6, 12, 38, 6, -46, 0, 14, 6, 3, 8, 13, 25, 3, 0, -24, -15, 0, -20, -3, -8, -20, -1, 44, 1, 6, 18, -2, 0, 12, -13, 13, 32, 8, -2, -2, -20, 32, 17, 0, 10, 7, -12, -20, 17, 0, -6, 6, 1, -4, 0, -59, 24, -10, -1, -14, 15, -56, 8, -14, 4, 0, 3, -3, -10, 36, -12, 17, 12, 8, 1, 54, 0, 20, 1, 43, 0, 49, 6, 4, -42, 9, 4, 0, 15, -9, 6, 17, 12, 23, 4, 24, -2, 4, 0, -66, -45, 5, 6, 6, -4, 55, -3, 8, -3, 0, -16, 0, -6, 8, 6, 25, 2, -8, 2, 32, 0, 68, 1, -17, 15, 31, -7, 36, 5, -1, -12, 0, -23, -20, 3, -9, 2, -6, -4, -4, -24, -8, 0, -1, -34, 53, 6, 27, 7, -5, -1, -54, -6, 0, -10, 4, 6, 10, -3, -22, 12, -2, 6, -22, 0, 18, -14, -41, 3, -8, -2, 14, 24, 0, 15, 0, 19, 36, -1, -11, -16, 42, 5, 1, -24, -2, 0, 29, -4, -12, 2, 26, -17, -1, -3, -4, 0, 0, 12, 2, -34, -35, 8, 3, 0, 35, 4, 22, 0, 30, 2, -64, -15, 6, -24, -22, -24, -4, 2, 0, 8, -8, -10, 1, 10, 24, -7, -6, 2, -52, 0, 58, -26, -2, -1, 0, 13, 55, 6, -3, -40, 0, 14, 21, 11, -12, -18, -3, 1, -57, -3, -6, 0, 3, -12, 10, 18, -8, -8, 9, 3, 35, -6, 0, 24, -30, 0, 62, 16, -12, -16, -24, 6, 3, 0, 4, 8, 6, 1, -51, 31, -12, -4, -10, 12, 0, 2, -20, -3, -12, -5, 32, 22, 17, -20, 48, 0, 0, 3, 24, 0, 54, 17, -14, 4, -29, -25, 0, 8, 20, 28, -6, 3, -12, -1, 12, 28, -3, 0, 6, -14, -48, 1, -8, -15, -4, 20, -46, 0, 0, -2, -26, 8, 20, -18, -12, -18, -54, 1, 2, 0, 34, -12, -18, 10, -70, 1, -17, 13, -27, 15, 0, 12, 2, -10, 9, 23, -44, -17, 0, 3, 19, 0, 12, -14, 14, -22, -24, 6, -80, -14, 15, -21, 0, -3, 14, -16, -6, 1, 66, -16, -6, -10, -8, 0, 49, 2, 70, -3, -4, 0, -38, -17, 12, 17, 0, 6, 24, -1, 68, -48, -10, -2, -1, -20, 44, 0, 14, -6, 19, -4, 36, 30, -4, 6, -58, 2, 0, -6, 2, 38, 0, 7, -4, 20, -70, -8, -8, 0, -17, -3, 6, -18, -6, 6, 50, 19, 17, 3, 0, -22, -40, 1, 16, 4, 0, 3, -26, -6, -12, 0, -15, 0, -2, -13, 10, -28, 18, -1, -5, -25, 0, -32, 7, 1, 10, -10, -21, 12, -24, 8, 19, 0, -3, 6, -36, -1, -8, 4, 16, -24, -15, 12, 0, -43, 11, 14, 72, -6, 6, -8, 20, 24, 1, 0, 68, -36, 50, 10, -6, 6, -34, -17, 3, 36, 0, 5, 3, -6, -10, -20, 38, 1, 14, 0, -2, 0, -32, 2, 37, -2, -3, -4, -15, 4, 66, 9, 0, 1, -32, 6, 48, 34, -5, -24, 12, 21, -41, 0, 11, 28, -60, -2, -2, -8, 0, 4, -28, 3, 0, -8, 20, 36, -12, -8, 12, 17, -40, -8, -7, 0, 38, -2, -4, 12, -6, 16, 14, -2, 28, -1, 0, 3, 24, -31, 1, 0, -14, -2, -47, 24, -22, 0, 10, -10, -3, -3, -10, 7, 48, -3, 8, -28, 0, 24, -51, -34, -32, 1, -14, -39, 46, 3, -6, 0, 4, 5, 0, -14, -51, 6, 4, 15, 18, 20, 0, 16, -32, 3, 23, -12, 6, 2, 12, -12, -12, 0, 57, 8, -6, 41, -16, 16, 6, 2, -25, -36, 0, 0, 38, -3, -3, -19, 16, 20, 63, 11, 8, 0, 75, -2, 51, 54, -1, 2, 68, -18, -22, 4, 0, 54, -17, 13, -2, -18, -32, 3, -54, 5, 0, 0, 20, 38, 20, -17, -20, -6, 20, -3, 52, 12, 0, -4, -17, 9, -15, -12, 9, 25, -1, 15, -35, 0, -28, 22, -60, 7, -51, 1, -12, -31, -15, 8, 0, 16, -24, -10, -4, -1, -27, -3, 72, -4, -20, 0, -16, 12, -22, 2, -12, -3, -4, -16, 18, 3, 0, 3, -57, -1, -30, -14, 0, -3, 12, -6, 24, 0, 42, -1, 48, 8, 3, 6, -15, -32, 1, -6, 0, 10, -30, 8, 79, -4, 17, -3, 2, 30, 68, 0, -1, -17, 45, 0, 22, -6, -56, 12, -8, 14, 0, 3, -36, 27, 3, -4, -22, 40, 32, -1, 6, 0, 66, -6, 10, 12, 4, -12, 6, -2, 66, 20, 0, -18, 0, 2, -67, 34, -15, -17, 40, 7, 1, 0, 1, 51, -88, 12, 23, 2, 23, -17, 24, 6, 0, 29, -2, 44, 49, 4, -13, -7, -48, 6, -6, 0, -24, 1, 34, 6, 21, -15, -34, 17, -7, 14, 0, 1, -24, 8, -12, -48, 6, 10, 3, -59, -6, 0, 34, -6, 12, -8, -12, -56, -3, -6, 0, -8, 0, -1, 30, 14, -68, -34, -3, 16, -57, -4, 20, 0, -24, 17, 3, -15, 13, -15, 38, 0, 35, 1, 0, 26, 16, -23, 32, 1, -10, 0, 24, 10, 33, 0, -74, -3, -8, -14, -12, -2, 6, -6, 17, -60, 0, -6, -4, -62, 0, 3, 38, -12, -35, 6, 85, 0, -14, -8, 34, 30, 0, 8, -15, 8, -1, -2, 0, 16, 9, -2, -12, -10, -30, 17, 33, 24, 17, 0, 24, -3, -68, -5, -50, 12, -8, 10, 20, 10, 0, 20, 20, 0, 6, 7, 36, 13, -2, 4, 20, 0, 58, 4, 26, 8, 24, 1, -9, 50, 35, -2, 0, -6, -18, -7, 40, -54, 24, 28, -25, 13, -11, 0, 0, 18, 41, -6, 2, 12, -13, 3, -31, -4, 0, -17, -66, 30, 8, 22, -18, -51, 12, 8, 88, 0, 6, -3, 8, 6, -60, 12, -24, 2, 6, 0, 0, 20, -16, -10, -12, 16, -38, 1, -15, -9, -16, 0, 31, -25, -8, -1, 6, 2, 82, 21, -31, -3, 0, 4, -112, -58, 24, 3, 12, -2, 0, 1, 3, 0, 45, -1, 26, -24, -22, -12, -4, 20, -1, -11, 0, -8, -60, -3, 14, -6, 0, -20, -5, 34, 34, 0, -4, -6, 34, 25, 8, 0, -20, -6, -51, -28, 0, -3, -3, 36, -4, -2, -2, 62, -28, 10, -73, 0, -85, -1, -28, 8, -41, -1, -6, 42, 15, -2, 0, -50, -51, 3, 0, -56, 2, 2, -28, 19, 16, 0, 50, 18, -11, -6, 18, -6, -84, 2, 65, -34, 0, -21, -2, 12, 36, -11, 2, -4, -50, -1, -7, 0, -13, 0, -87, 30, 7, -3, -12, -15, -12, 10, 0, 12, 46, 8, 24, 17, -60, 40, -3, -42, 3, 0, 3, 12, 14, 4, 24, 22, 8, -16, 12, 20, 0, 14, -28, -15, 21, -3, 4, -6, -22, -1, 16, 0, -10, -1, 1, -53, 40, 22, -8, 10, -6, 10, 0, 10, 3, 4, 51, -48, 3, 3, 45, 0, 18, 0, -34, -6, -56, -17, -2, 56, -6, 14, 14, 16, 0, -3, 48, -38, -3, 2, 58, -18, -40, 14, 24, 0, -15, -4, 6, 24, -3, -8, 0, 1, -30, 32, 0, -6, -6, 12, -5, 38, -22, 6, 24, -46, -38, 0, -8, 14, -71, 6, -20, 3, -2, 8, -42, 13, 0, 25, 65, 3, -16, 0, 18, -24, -25, -15, -12, 0, -19, -20, 45, -3, -24, -8, -44, -20, 4, -1, 0, 44, -4, 1, -84, 6, -51, 18, 6, -2, 12, 0, 1, 12, 0, -13, 24, 13, -20, 32, 28, 8, 0, -2, 10, -2, 25, -20, 17, 32, 10, 17, 2, 0, -42, 10, -64, 7, -12, -12, -30, -20, 49, 17, 0, 0, 72, -6, -29, 6, -2, 1, 30, -4, -62, 0, 24, -59, -6, 24, 36, -10, 43, -1, -10, -14, 0, 15, 15, -56, 12, 8, 18, -14, -24, 4, 0, 0, -8, 3, 36, -3, 19, -10, 16, 36, 12, -12, 0, 17, -14, 12, -36, 8, -77, 1, 42, 54, 6, 0, 6, 20, 9, 1, 2, 43, 21, 0, 34, 49, 0, 6, -68, 4, 16, -42, 2, 9, -17, 4, 90, 0, -10, 15, 81, -9, 140, 6, -1, 17, -96, 12, 0, 23, -34, 4, -42, 24, 0, -2, 42, 4, -2, 0, 9, -66, -28, -45, 14, 5, -64, 6, 8, 6, 0, -4, 20, 55, 6, -3, -1, 8, -45, -3, -36, 0, -52, -16, -6, 0, -17, -6, -52, 8, 36, 6, 0, 25, -8, 2, 22, -8, -12, 2, -28, 32, -16, 0, 2, 68, -12, 1, 34, -17, 6, 15, 21, 31, 0, -7, 0, 36, -8, 5, -48, -1, -24, -12, -10, 0, -27, -23, -20, -20, -69, 3, 22, -9, -7, 2, 0, -6, -8, -4, 28, -4, 18, -24, -4, -8, 85, 0, -8, -1, -10, -34, 39, 53, 2, 6, 12, 27, 0, 7, -58, -5, -10, -1, -28, -54, -12, -6, -75, 0, -15, -10, -45, 4, 6, 6, -16, 10, 0, -3, 0, -22, -24, 12, 17, -2, -11, 6, 12, -22, 24, 0, -12, 18, -8, -14, -32, -41, 22, 3, -40, -8, 0, -2, -12, 14, 36, 24, -6, 0, -34, 15, 3, 0, 10, 19, 10, 36, 40, -1, -77, -11, 68, -16, 0, 42, 10, 5, -17, 1, -54, -24, -4, -2, -21, 0, -36, 29, -99, -4, 0, -12, -54, 2, -3, 26, 0, -17, 18, -1, 48, -3, 86, -4, 1, 0, -48, 0, 24, 12, -38, 2, -40, -34, 11, -35, 6, 8, 0, 3, -60, 0, 24, 35, 20, 4, -91, 22, -9, 0, -15, 30, -6, 2, -25, -64, 56, -15, -9, 6, 0, -24, -48, -22, 3, -24, -7, -4, -21, 2, 20, 0, 31, 8, -10, -8, 30, -10, -40, 1, 3, 10, 0, 24, 1, -7, -60, -6, -2, 2, 4, -52, -60, 0, -3, 58, 24, -26, 30, -2, -72, -1, 3, 0, 0, 13, -46, 55, -3, 6, 51, -3, 136, -40, -2, 0, 55, 14, 34, 21, 3, 11, 13, -12, 11, -18, 0, -3, -7, 1, 24, -57, -20, -3, 0, -6, 32, 0, 32, 3, 24, -12, -70, 10, -10, 18, -51, -8, 0, -8, -8, 9, -98, 3, -40, 35, -30, -6, -6, 0, 60, 24, 17, -30, -4, 0, 6, 62, -12, 16, 0, -12, 39, -16, -14, -24, -16, 6, -14, 3, -27, 0, -36, 4, 1, 8, 8, 6, 64, 1, 22, -51, 0, 31, -22, -12, 0, -4, -12, -10, -36, 12, 45, 0, -4, 2, 17, -20, 74, -3, 18, -12, 6, -5, 0, 32, -34, 22, -19, 17, 20, -20, 14, 48, -14, 0, -47, 0, -51, 3, -80, 24, 8, 0, -2, 54, 0, 17, 91, -14, -15, 4, 120, -29, 4, -25, -44, 0, -9, 8, -4, 20, 7, 28, -32, -6, 86, 3, 0, -12, -24, -1, 24, 12, -6, 28, -28, -3, -56, 0, -17, 6, 36, -14, -6, -48, 2, 1, -63, -8, 0, -15, 48, -4, -25, 20, -18, -46, 59, 0, 8, 0, -16, -2, 15, -26, 15, 8, 66, 20, 56, -18, 0, -12, 8, -18, 8, -54, 67, 1, -44, 2, 28, 0, -1, 34, 18, -12, -16, -18, 0, 10, -10, -70, 0, 1, 55, -17, 60, 13, -30, -27, 31, 15, -32, 0, 0, 12, 8, 2, 21, -10, -26, 9, 20, 23, 0, -44, -16, -17, -8, 0, 68, 3, -10, 19, -38, 0, -110], "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": "8470.2.a.g", "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], [-1], [1], [-1], [-1], [-1], [1], [-2], [-1], [0], [-1], [1], [-1], [1], [1], [4], [-2], [-3], [-1], [1], [0], [-3], [-1], [1], [1], [5], [-1], [2], [1], [0], [1], [0], [4], [1], [-2], [8], [-3], [-1], [-1], [6], [1], [-10], [0], [2], [-3], [-4], [-1], [1], [1], [-4], [1], [6], [5], [0], [-1], [3], [2], [3], [1], [-14], [0], [2], [1], [-1], [0], [-2], [4], [3], [1], [-12], [-2], [-6], [8], [-1], [-3], [0], [-1], [17], [-1], [1], [6], [-3], [1], [-4], [-10], [-2], [0], [8], [2], [-1], [-3], [0], [-4], [3], [-1], [-2], [1], [0], [1]]}