# Stored data for newform 8470.2.a.ch, downloaded from the LMFDB on 29 March 2024. {"label": "8470.2.a.ch", "space_label": "8470.2.a", "level": 8470, "weight": 2, "hecke_orbit": 60, "hecke_orbit_code": 265712378048422166, "dim": 3, "is_polredabs": true, "nf_label": "3.3.316.1", "trace_hash": 944640490411142742, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [8, -6, -2, 1]], [13, [0, 1]], [17, [-16, -12, 4, 1]], [19, [-136, -22, 6, 1]]], "qexp_display": "q-q^{2}+(1+\\beta _{2})q^{3}+q^{4}+q^{5}+(-1+\\cdots)q^{6}+\\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": 2, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "conrey_indexes": [1], "field_disc": 316, "field_disc_factorization": [[2, 2], [79, 1]], "field_poly": [2, -4, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.098", "prec": 17}, {"__RealLiteral__": 0, "data": "2.898", "prec": 17}, {"__RealLiteral__": 0, "data": "1.084", "prec": 17}, {"__RealLiteral__": 0, "data": "23.173", "prec": 20}, {"__RealLiteral__": 0, "data": "17.595", "prec": 20}, {"__RealLiteral__": 0, "data": "281.257", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, -1], [7, 1], [11, 1]], "trace_display": [-3, 2, 3, -3], "traces": [0, 3, -3, 2, 3, 3, -2, -3, -3, 7, -3, 0, 2, 0, 3, 2, 3, -4, -7, -6, 3, -2, 0, 8, -2, 3, 0, 8, -3, 2, -2, 2, -3, 0, 4, -3, 7, 8, 6, 0, -3, 0, 2, 0, 0, 7, -8, 8, 2, 3, -3, -12, 0, 0, -8, 0, 3, 20, -2, -10, 2, 2, -2, -7, 3, 0, 0, -14, -4, 0, 3, 4, -7, 12, -8, 2, -6, 0, 0, 2, 3, 3, 0, -4, -2, -4, 0, -4, 0, 14, -7, 0, 8, 12, -8, -6, -2, 44, -3, 0, 3, 18, 12, -4, 0, -2, 0, 8, 8, 6, 0, 0, -3, 10, -20, 8, 2, 0, 10, 4, -2, 0, -2, 44, 2, 3, 7, -4, -3, -20, 0, -22, 0, 6, 14, 8, 4, 10, 0, 2, -3, 44, -4, 0, 7, 2, -12, 2, 8, -18, -2, -14, 6, -44, 0, 2, 0, 10, -2, 16, -3, -8, -3, 26, 0, 0, 4, 20, 2, -39, 4, 30, 0, 8, 4, -3, 0, -16, -14, -4, 7, -2, 0, 40, -8, 8, -12, 0, 8, -8, 6, 0, 2, 6, -44, 0, 3, 10, 0, -2, -3, -28, -18, -2, -12, 0, 4, 44, 0, 0, 2, 20, 0, -56, -8, 0, -8, -2, -6, 28, 0, 0, 0, 16, 3, 7, -10, 12, 20, 6, -8, 0, -2, 42, 0, 8, -10, -12, -4, -54, 2, 4, 0, 46, 2, 3, -44, 0, -2, 16, -3, 50, -7, 0, 4, -12, 3, 4, 20, -8, 0, 30, 22, -20, 0, 0, -6, 68, -14, 30, -8, -12, -4, 0, -10, 0, 0, 22, -2, -46, 3, -20, -44, -28, 4, 20, 0, 0, -7, -11, -2, 24, 12, 36, -2, -10, -8, 0, 18, 0, 2, 0, 14, -8, -6, 2, 44, -24, 0, -12, -2, -14, 0, 8, -10, -7, 2, 28, -16, 0, 3, 44, 8, -36, 3, 0, -26, -60, 0, -8, 0, -16, -4, 44, -20, -14, -2, 78, 39, -12, -4, 0, -30, -3, 0, 0, -8, 40, -4, 30, 3, 0, 0, 56, 16, 4, 14, 12, 4, 2, -7, 23, 2, 0, 0, 12, -40, -52, 8, 28, -8, 0, 12, 2, 0, 2, -8, 0, 8, -28, -6, 64, 0, -32, -2, 0, -6, 16, 44, -42, 0, -36, -3, -28, -10, 2, 0, 42, 2, -20, 3, 14, 28, 0, 18, 3, 2, 0, 12, -64, 0, -52, -4, 10, -44, -4, 0, -12, 0, 78, -2, 6, -20, 72, 0, -4, 56, -2, 8, 0, 0, 46, 8, 0, 2, -4, 6, 4, -28, 44, 0, 7, 0, 14, 0, 14, -16, 52, -3, -6, -7, 0, 10, -52, -12, 0, -20, -42, -6, -80, 8, -38, 0, 16, 2, 12, -42, 22, 0, 14, -8, 76, 10, 0, 12, -6, 4, -76, 54, 8, -2, 0, -4, 0, 0, 44, -46, 32, -2, 36, -3, -12, 44, -28, 0, 0, 2, -4, -16, -28, 3, 112, -50, 4, 7, 18, 0, -26, -4, -26, 12, -12, -3, 72, -4, -4, -20, 0, 8, 4, 0, -34, -30, -16, -22, -2, 20, 48, 0, -17, 0, -58, 6, 0, -68, 8, 14, 28, -30, 0, 8, 34, 12, -60, 4, 6, 0, -60, 10, 58, 0, 16, 0, -2, -22, 0, 2, -2, 46, 0, -3, 0, 20, -16, 44, 10, 28, -3, -4, 12, -20, 12, 0, 88, 0, 8, 7, -48, 11, -112, 2, 4, -24, 0, -12, 0, -36, -2, 2, -44, 10, -44, 8, -60, 0, 4, -18, 16, 0, 76, -2, 68, 0, -102, -14, 0, 8, -32, 6, 4, -2, 0, -44, -22, 24, 44, 0, -10, 12, 34, 2, 72, 14, -14, 0, 3, -8, 0, 10, -36, 7, -24, -2, 112, -28, -4, 16, 0, 0, -28, -3, -46, -44, 26, -8, -20, 36, -20, -3, 0, 0, -12, 26, 64, 60, -22, 0, 12, 8, 76, 0, -46, 16, 0, 4, 6, -44, 36, 20, 20, 14, 0, 2, -42, -78, 8, -39, 44, 12, -44, 4, 96, 0, 78, 30, 10, 3, -24, 0, 0, 0, 62, 8, 0, -40, 2, 4, -28, -30, -12, -3, 10, 0, 4, 0, 44, -56, -18, -16, -34, -4, -90, -14, -56, -12, 0, -4, -100, -2, 30, 7, 4, -23, 76, -2, 2, 0, -16, 0, 7, -12, -16, 40, 52, 52, 2, -8, 0, -28, -52, 8, 0, 0, -4, -12, -18, -2, 60, 0, -8, -2, -52, 8, 112, 0, -14, -8, 16, 28, 0, 6, 16, -64, -6, 0, -44, 32, 0, 2, 36, 0, -72, 6, -30, -16, 2, -44, 0, 42, 72, 0, 0, 36, 56, 3, 10, 28, -16, 10, -24, -2, -10, 0, 0, -42, 16, -2, -38, 20, -64, -3, 70, -14, 0, -28, -8, 0, -8, -18, 16, -3, 18, -2, -16, 0, 26, -12, -4, 64, 0, 0, 38, 52, -20, 4, 0, -10, 28, 44, 2, 4, 84, 0, -4, 12, 20, 0, -96, -78, -46, 2, -55, -6, -40, 20, -39, -72, 0, 0, 32, 4, 52, -56, 40, 2, 30, -8, -36, 0, -54, 0, -44, -46, 60, -8, 8, 0, 70, -2, 0, 4, 0, -6, 128, -4, -3, 28, 134, -44, 104, 0, 50, -7, 98, 0, -16, -14, 24, 0, 4, -14, 0, 16, 76, -52, -4, 3, 0, 6, -60, 7, 76, 0, 20, -10, -2, 52, -50, 12, 58, 0, 12, 20, 0, 42, 40, 6, 22, 80, -114, -8, -24, 38, 0, 0, 8, -16, -44, -2, 70, -12, -6, 42, -20, -22, 0, 0, -20, -14, -88, 8, 150, -76, -16, -10, -8, 0, 26, -12, 0, 6, -24, -4, 34, 76, 0, -54, 0, -8, -10, 2, 31, 0, 72, 4, 6, 0, -4, 0, -112, -44, -102, 46, -2, -32, 0, 2, 50, -36, 0, 3, 2, 12, 60, -44, 10, 28, -44, 0, 36, 0, -108, -2, 76, 4, -2, 16, 16, 28, 72, -3, 0, -112, 48, 50, -28, -4, -60, -7, 32, -18, 92, 0, 62, 26, -2, 4, -46, 26, 24, -12, 42, 12, 0, 3, 0, -72, 0, 4, -2, 4, 46, 20, -46, 0, 44, -8, -56, -4, 2, 0, 84, 34, 18, 30, 0, 16, 8, 22, 62, 2, -44, -20, 0, -48, 20, 0, 14, 17, 24, 0, 6, 58, 112, -6, -56, 0, 0, 68, 34, -8, 44, -14, 36, -28, 0, 30, 4, 0, 0, -8, 36, -34, 6, -12, -2, 60, -20, -4, 0, -6, 42, 0, -44, 60, 28, -10, -40, -58, -10, 0, -124, -16, 68, 0, 0, 2, 56, 22, 30, 0, 0, -2, -16, 2, 16, -46, -2, 0, 12, 3, -24, 0, 34, -20, 7, 16, 8, -44, 140, -10, 0, -28, 0, 3, 12, 4, -96, -12, 88, 20, -26, -12, 148, 0, 6, -88, -56, 0, -52, -8, -48, -7, -100, 48, 0, -11, 0, 112, 88, -2, 32, -4, 24, 24, 42, 0, -76, 12, -20, 0, -64, 36, -72, 2, 8, -2, 0, 44, -146, -10, 66, 44, 39, -8, -12, 60, 32, 0, -16, -4, 76, 18, 16, -16, -54, 0, -30, -76, 0, 2, -44, -68, 40, 0, 4, 102, 32, 14, 0, 0, -8, -8, 44, 32, 46, -6, 48, -4, -92, 2, 0, 0, -60, 44, 3, 22, -156, -24, -14, -44, -8, 0, -14, 10, 0, -12, -10, -34, 16, -2, 0, -72, 0, -14, 16, 14, 36, 0, -72, -3, -90, 8, 4, 0, 50, -10, 32, 36, 10, -7, 0, 24, -124, 2, 0, -112, 2, 28, 128, 4, 32, -16, -60, 0, -12, 0, -6, 28, 54, 3, -40, 46, 8, 44, 4, -26, 0, 8, 92, 20, -74, -36, 164, 20, -8, 3, -58, 0, -104, 0, -66, 12, -12, -26, 30, -64, -2, -60, 0, 22, 140, 0, 0, -12, -20, -8, 96, -76, 32, 0, 30, 46, 8, -16, 0, 0, 36, -4, -68, -6, 0, 44, -72, -36, 68, -20, 0, -20, 0, -14, -30, 0, 92, -2, 30, 42, -152, 78, -104, -8, -6, 39, 0, -44, -12, -12, -52, 44, -146, -4, -172, -96, 20, 0, 0, -78, -56, -30, -59, -10, -68, -3, -100, 24, 0, 0, -76, 0, -10, 0, 6, -62, -56, -8, 22, 0, -20, 40, 64, -2, 0, -4, 2, 28, -46, 30, 0, 12, 28, 3, -32, -10, 20, 0, -20, -4, 28, 0, 70, -44, -64, 56, 10, 18, -28, 16, 0, 34, 0, 4, 2, 90, 32, 14, 20, 56, -36, 12, -26, 0, -152, 4, 28, 100, 0, 2, 64, -30, -40, -7, 0, -4, 0, 23, -11, -76, -52, 2, -44, -2, 60, 0, -24, 16, 24, 0, -24, -7, -26, 12, 48, 16, 0, -40, 36, -52, 130, -52, 0, -2, 126, 8, -88, 0, -10, 28, -20, 52, -48, -8, -12, 0, -18, 0, 0, 4, -96, 12, 58, 18, 56, 2, 134, -60, 0, 0, -12, 8, 28, 2, -112, 52, 52, -8, 0, -112, 0, 0, -112, 14, 18, 8, -56, -16, -8, -28, -16, 0, 2, -6, -91, -16, 22, 64, 2, 6, -116, 0, 0, 44, -66, -32, -28, 0, -24, -2, -92, -36, 134, 0, -88, 72, 60, -6, -12, 30, 0, 16, -98, -2, 0, 44, 28, 0, -14, -42, 104, -72, -116, 0, -16, 0, 124, -36, 8, -56, -8, -3, -16, -10, -10, -28, 0, 16, -7, -10, 96, 24, -116, 2, 72, 10, 36, 0, 28, 0, -42, 42, -12, -16, 36, 2, -96, 38, 0, -20, -10, 64, 0, 3, 88, -70, -6, 14, 44, 0, -72, 28, -86, 8, -76, 0, -8, 8, -36, 18, 0, -16, 20, 3, 2, -18, -100, 2, 0, 16, -76, 0, -42, -26, -42, 12, 32, 4, -60, -64, -14, 0, 0, 0, 40, -38, 184, -52, -8, 20, 112, -4, -84, 0, 0, 10, 100, -28, -16, -44, 16, -2, 12, -4, 0, -84, 28, 0, 44, 4, -12, -12, 34, -20, 60, 0, 54, 96, -14, 78, 0, 46, -4, -2, 9, 55, 0, 6, 78, 40, -4, -20, -208, 39, 68, 72, -60, 0, -12, 0, -32, -32, -110, -4, -46, -52, 0, 56, 0, -40, 88, -2, 50, -30, -32, 8, -176, 36, -3, 0, -40, 54, 56, 0, -62, 44, 28, 46, 0, -60, 0, 8, 0, -8, 32, 0, 118, -70, 40, 2, -146, 0, 36, -4, 50, 0, -16, 6, 30, -128, 2, 4, 0, 3, 40, -28, 40, -134, 0, 44, -50, -104, -118, 0, -240, -50, -60, 7, 56, -98, -160, 0, 16, 16, 0, 14, 106, -24, 4, 0, -112, -4, -116, 14, 0, 0, -44, -16, 12, -76, -34, 52, 6, 4, 150, -3, 0, 0, 2, -6, -8, 60, -4, -7, 68, -76, 20, 0, 23, -20, 0, 10, -176, 2, -14, -52, 8, 50, 0, -12, -76, -58, -64, 0, 76, -12, 28, -20, 12, 0, -30, -42, 44, -40, -100, -6, 0, -22, -52, -80, 0, 114, 60, 8, 20, 24, -68, -38, 28, 0, 136, 0, -73, -8, -20, 16, 4, 44, 0, 2, -96, -70, 0, 12, 58, 6, 12, -42, 2, 20, -40, 22, -68, 0, -52, 0, 126, 20, 2, 14, 70, 88, -14, -8, 0, -150, -30, 76, 0, 16, -72, 10, 20, 8, -28, 0, 136, -26, -28, 12, 12, 0, 52, -6, 14, 24, 0, 4, 64, -34, 6, -76, 40, 0, 0, 54, -6, 0, -32, 8, -64, 10, -40, -2, 56, -31, -228, 0, 0, -72, 116, -4, -72, -6, -122, 0, 66, 4, 16, 0, 0, 112, -22, 44, -140, 102, -60, -46, -42, 2, 0, 32, -70, 0, -34, -2, 46, -50, -36, 36, -36, 0, 96, -3, -92, -2, 0, -12, -28, -60, 20, 44, 0, -10, 0, -28, 30, 44, 2, 0, 0, -36, -46, 0, 28, 108, 52, 2, 42, -76, 124, -4, 0, 2, 0, -16, -96, -16, -20, -28, -6, -72, -82, 3, 4, 0, 50, 112, 14, -48, 72, -50, 0, 28, -132, 4, 0, 60, 0, 7, -98, -32, 52, 18, -24, -92, 11, 0, 3, -62, -54, -26, -38, 2, -164, -4, 76, 46, 0, -26, -24, -24, 56, 12, 0, -42, 84, -12, -64, 0, 16, -3, 4, 0, -36, 72, 70, 0, -52, -4, 0, 2, 24, -4, -90, -46, -68, -20, 10, 46, 0, 0, 2, -44, -88, 8, -152, 56, -4, 4, 92, -2, 0, 0, 148, -84, 62, -34, -12, -18, -32, -30, -180, 0, -144, -16, 0, -8, 78, -22, 130, -62, 34, -2, 0, 44, -76, 20, 6, 0, 0, 48, 140, -20, -82, 0, 36, -14, 72, -17, -28, -24, 0, 0, 8, -6, 0, -58, -4, -112, 132, 6, 32, 56, -102, 0, -184, 0, -2, -68, -102, -34, -8, 8, -134, -44, -212, 14, 0, -36, -108, 28, 24, 0, -138, -30, -94, -4, 46, 0, -152, 0, -152, 8, -30, -36, 12, 34, 0, -6, 0, 12, 56, 2, 0, -60, 48, 20, -4, 4, 14, 0, -88, 6, -84, -42, -52, 0, 4, 44, -112, -60, 0, -28, -8, 10, 8, 40, 44, 58, 0, 10, 12, 0, -40, 124, 38, 16, 7, -68, 48, 0, 11, 0, 0, -2, -14, -56, 14, -22, -72, -30, -28, 0, 82, 0, 0, 2, 14, 16, 124, -2, -168, -16, 148, 46, 0, 2, 52, 0, 156, -12, -44, -3, 128, 24, 132, 0, -6, -34, -44, 20, 0, -7, -124, -16, -232, -8, 0, 44, 20, -140, 138, 10, 36, 0, 80, 28, -52, 0, 26, -3, -38, -12, -160, -4, -20, 96, 0, 12, 0, -88, -108, -20, -70, 26, -44, 12, -42, -148, -64, 0, 60, -6, -80, 88, 32, 56, -80, 0, 30, 52, 0, 8, 0, 48, 8, 7, -38, 100, -204, -48, 70, 0, 48, 11, 48, 0, 16, -112, 16, -88, 4, 2, 0, -32, 84, 4, 12, -24, 0, -24, 24, -42, -44, 0, 124, 76, 22, -12, -4, 20, -48, 0, -98, 64, 0, -36, 14, 72, -98, -2, 6, -8, 76, 2, 0, 0, 76, -44, -82, 146, -78, 10, 128, -66, 92, -44, 0, -39, 4, 8, -36, 12, 6, -60, 12, -32, -6, 0, -38, 16, 0, 4, -58, -76, -124, -18, -76, -16, 0, 16, 98, 54, 28, 0, -108, 30, 8, 76, -216, 0, 94, -2, 3, 44, 112, 68, 0, -40, 48, 0, 0, -4, 110, -102, 232, -32, 0, -14, 162, 0, -28, 0, -34, 8, 32, 8, 44, -44, -192, -32, -40, -46, 0, 6, -100, -48, 32, 4, 66, 92, -148, -2, -124, 0, -30, 0, 36, 60, -4, -44, 164, -3, 88, -22, 0, 156, -12, 24, 0, 14, -60, 44, 36, 8, 4, 0, -28, 14, -58, -10, 48, 0, -56, 12, -58, 10, 0, 34, 20, -16, -88, 2, 232, 0, 0, 72, -4, 0, -184, 14, -64, -16, -44, -14, 38, -36, -28, 0, 0, 72, -12, 3, 116, 90, -88, -8, 112, -4, 68, 0, 0, -50, -6, 10, -2, -32, 4, -36, 36, -10, 0, 7, -40, 0, -46, -24, 18, 124, -23, -2, -236, 0, 56, 112, 12, -2, -26, -28, -16, -128, -42, -4, 0, -32, 16, 16, -26, 60, -148, 0, -58, 12, 76, 0, 4, 6, -12, -28, 96, -54, -52, -3, 0, 40, 0, -46, 72, -8, 132, -44, 52, -4, 172, 26, -104, 0, -4, -8, -112, -92, 34, -20, -12, 74, -28, 36, 0, -164, 0, -20, -128, 8, -58, -3, -68, 58, 4, 0, 0, 104, -24, 0, 81, 66, -116, -12, -34, 12, 0, 26, -4, -30, -2, 64, 0, 2, -16, 60, -68, 0, 168, -22, -30, -140, -24, 0, -2, 0, 32, 12, 0, 20, 100, 8, 98, -96, 48, 76, 20, -32, 0, 0, -112, -30, 188, -46, -17, -8, 152, 16, 36, 0, 0, 0, 28, -36, -58, 4, 146, 68, 74, 6, -48, 0, 208, -44, 0, 72, -64, 36, 0, -68, -24, 20, 0, 0, 8, 20, -102, 0, 136, 14, 32, 30, 0, 0, 28, -92, -64, 2, -50, -30, 0, -42, -54, 152, 0, -78, -32, 104, 108, 8, -4, 6, 120, -39, 34, 0, -46, 44, -16, 12, 56, 12, 22, 52, -60, -44, 0, 146, -92, 4, -140, 172, 42, 96, 6, -20, 80, 0, 2, 0, 8, 78, 136, 56, -60, 30, 36, 59, 0, 10, 98, 68, 0, 3, 58, 100, -56, -24, -98, 0, 28, 0, -50, 76, 16, 0, -4, 10, 52, 0, 0, -6, -176, 62, -2, 56, -184, 8, 0, -22, -104, 0, -80, 20, 0, -40, 96, -64, -42, 2, -80, 0, 0, 4, -2, -2, -44, -28, 22, 46, 4, -30, 20, 0, 0, -12, 184, -28, 18, -3, -36, 32, -90, 10, 0, -20, -14, 0, 117, 20, -44, 4, 60, -28, -16, 0, -12, -70, -98, 44, 0, 64, 80, -56, 10, -10, 0, -18, 204, 28, 112, -16, -4, 0, -3, -34, -22, 0, -32, -4, 84, -2, -90, -90, 12, -32, 0, -14, 0, -20, 96, -56, -48, 36, 12, -12, 38, 26, -112, 0, -6, 152, 64, -4, 88, -28, 136, -100, -128, 0, 0, -2, 52, -64, 8, 30, 52, 40, 158, 7, -32, 0, 26, 4, -48, 0, -12, -23, 128, 11, -10, 76, 0, 52, -112, -2, 64, 44, 0, 2, -168, -60, -36, 0, 4, 24, -140, -16, 18, -24, -176, 0, -136, 24, 0, 7, -156, 26, 12, -12, 80, -48, -76, -16, 0, 0, -16, 40, 48, -36, 132, 52, -78, -130, -2, 52, 0, 0, -146, 2, -96, -126, -8, -8, -44, 88, -6, 0, 44, 10, 0, -28, 44, 20, -44, -52, 18, 48, 0, 8, -72, 12, -38, 0, -60, 18, -64, 0, 48, 0, 6, -4, 72, 96, 4, -12, 0, -58, 104, -18, 0, -56, 36, -2, 16, -134, -28, 60, 2, 0, 228, 0, 60, 12, 76, -8, 12, -28, -72, -2, 138, 112, 0, -52, 68, -52, -32, 8, 128, 0, 0, 112, -140, 0, -102, 0, -46, 112, 176, -14, -260, -18, 60, -8, 0, 56, -168, 16, 0, 8, 0, 28, 150, 16, -32, 0, 106, -2, 92, 6, -90, 91, 72, 16, 4, -22, 0, -64, -4, -2, -112, -6, 80, 116, 0, 0, -192, 0, -4, -44, -46, 66, 244, 32, -22, 28, 54, 0, 0, 24, 40, 2, -44, 92, 44, 36, 40, -134, 64, 0, 0, 88, -18, -72, -10, -60, -7, 6, 46, 12, 0, -30, 212, 0, 34, -16, 36, 98, -132, 2, -14, 0, 20, -44, 72, -28, 0, 0, 82, 14, -192, 42, 0, -104, -14, 72, 108, 116, 126, 0, 96, 16, 216, 0, 3, -124, 76, 36, -52, -8, -60, 56, 0, 8, 0, 3, 26, 16, -56, 10, 206, 10, 6, 28, -36, 0, -52, -16, -144, 7, 48, 10, -128, -96, -24, -24, 0, 116, 0, -2, 56, -72, -160, -10, 112, -36, -40, 0, -62], "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.ch", "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, 0, 0], [1, 0, 0], [-1, 0, 0], [1, 0, 1], [1, 0, 0], [1, 0, 0], [-1, 0, -1], [-1, 0, 0], [-1, 0, 0], [3, -1, 1], [-1, 0, 0], [0, 0, 0], [1, 0, 1], [0, 0, 0], [1, 0, 0], [1, 0, 1], [1, 0, 0], [-2, 1, -1], [-3, 1, -1], [-1, -1, 2], [1, 0, 0], [-1, 0, -1], [0, 0, 0], [3, -1, 0], [-1, 0, -1], [1, 0, 0], [0, 0, 0], [4, -2, 2], [-1, 0, 0], [1, -1, 0], [-1, 0, -1], [0, 2, 0], [-1, 0, 0], [0, 0, 0], [2, -1, 1], [-1, 0, 0], [3, -1, 1], [3, -1, 0], [1, 1, -2], [0, 0, 0], [-1, 0, 0], [1, 0, 3], [1, 0, 1], [0, -1, -1], [0, 0, 0], [3, -1, 1], [-3, 1, 0], [4, -1, 3], [1, 0, 1], [1, 0, 0], [-1, 0, 0], [-6, 2, -4], [0, 0, 0], [-1, 3, 0], [-4, 2, -2], [0, 0, 0], [1, 0, 0], [8, -3, 1], [-1, 1, 0], [-4, 1, -1], [1, 0, 1], [2, -1, 3], [0, -2, 0], [-3, 1, -1], [1, 0, 0], [0, 0, 0], [0, 0, 0], [-6, 2, -2], [-2, 1, -1], [2, -1, 5], [1, 0, 0], [0, 0, -4], [-3, 1, -1], [4, 1, 1], [-3, 1, 0], [1, 0, 1], [-1, -1, 2], [0, 0, 0], [0, 0, 0], [-1, 3, -2], [1, 0, 0], [3, -1, 5], [-1, 0, -3], [0, -2, 2], [-1, 0, -1], [-2, 1, -1], [0, 1, 1], [0, -1, 3], [0, 0, 0], [6, 0, 4], [-3, 1, -1], [0, 0, 0], [3, -1, 0], [2, 2, -4], [-4, 1, -3], [-1, -1, 2], [-1, 0, -1], [15, -1, 0], [-1, 0, 0], [0, 0, 0], [1, 0, 0]]}