# Stored data for newform 7098.2.a.bq, downloaded from the LMFDB on 19 April 2024. {"label": "7098.2.a.bq", "space_label": "7098.2.a", "level": 7098, "weight": 2, "hecke_orbit": 43, "hecke_orbit_code": 189151184383122362, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1927336946963718050, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [-2, -3, 1]], [11, [-4, 1, 1]], [17, [5, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+(1+\\beta )q^{5}-q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 28392, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 56.67781535470482, "hecke_ring_index": 1, "level_radical": 546, "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": [7098, 1, [4733, 5071, 6931], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.906", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.163", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "60.476", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, -1], [13, 1]], "trace_display": [-2, 2, 3, 2], "traces": [0, 2, -2, 2, 2, 3, -2, 2, -2, 2, -3, -1, 2, 0, -2, 3, 2, -10, -2, -3, 3, 2, 1, -10, -2, 3, 0, 2, 2, -2, -3, -2, -2, -1, 10, 3, 2, -1, 3, 0, -3, 0, -2, -14, -1, 3, 10, 3, 2, 2, -3, -10, 0, -16, -2, -10, -2, -3, 2, -18, 3, -2, 2, 2, 2, 0, 1, 6, -10, -10, -3, 8, -2, 9, 1, 3, -3, -1, 0, 7, 3, 2, 0, 4, 2, -15, 14, -2, 1, 7, -3, 0, -10, -2, -3, -30, -2, -8, -2, -1, 3, -35, 10, 2, 0, 3, 16, -23, 2, -10, 10, -1, 2, 5, 3, -32, -2, 0, 18, -10, -3, -13, 2, 0, -2, 15, -2, -12, -2, -14, 0, 0, -1, -3, -6, 3, 10, -9, 10, -3, 3, 3, -8, 0, 2, -3, -9, 2, -1, 15, -3, 39, 3, -10, 1, -20, 0, 9, -7, -16, -3, -10, -2, -6, 0, -10, -4, -8, -2, 0, 15, -3, -14, -18, 2, 3, -1, -18, -7, 0, 3, 10, 0, -2, 10, 41, 2, 5, 3, 2, 30, 28, 2, 16, 8, 0, 2, -3, 1, 6, -3, 6, 35, -2, -10, -17, -2, -10, 0, 27, -3, -14, -16, 8, 23, -4, -2, -2, 10, 9, -10, 0, 1, 0, -2, 3, -5, -18, -3, -25, 32, -1, 2, -12, 0, 30, -18, 7, 10, -8, 3, -35, 13, 2, -2, 3, 0, 0, 2, 4, -15, -16, 2, 22, 12, -15, 2, -46, 14, -1, 0, -2, 0, -8, 1, -7, 3, 7, 6, -18, -3, -18, -10, 0, 9, -27, -10, -3, 3, -2, -3, 5, -3, -16, 8, -30, 0, 0, -2, 16, 3, -8, 9, -3, -2, -44, 1, -1, -15, 0, 3, -14, -39, -35, -3, -3, 10, 39, -1, 2, 20, 41, 0, 14, -9, 3, 7, 19, 16, 1, 3, -23, 10, 15, 2, 0, 6, -10, 0, 3, 10, 46, 4, -1, 8, -8, 2, -26, 0, 5, -15, 18, 3, 2, 14, -32, 18, -13, -2, -20, -3, 0, 1, -1, 18, 12, 7, -10, 0, 34, -3, 43, -10, -13, 0, 5, 2, -2, -10, 0, -41, -16, -2, 39, -5, 15, -3, 0, -2, 32, -30, -12, -28, -29, -2, -10, -16, -14, -8, 25, 0, 50, -2, 0, 3, 2, -1, 9, -6, -3, 3, 15, -6, 0, -35, 3, 2, -42, 10, 65, 17, -9, 2, -18, 10, 40, 0, -3, -27, -4, 3, -21, 14, 3, 16, -15, -8, -2, -23, 0, 4, -12, 2, -23, 2, -3, -10, 66, -9, -24, 10, 2, 0, -7, -1, 36, 0, 15, 2, -36, -3, 17, 5, 39, 18, 0, 3, 39, 25, -10, -32, -23, 1, 11, -2, -20, 12, 56, 0, 6, -30, 9, 18, -10, -7, -81, -10, -16, 8, 1, -3, 0, 35, -10, -13, -46, -2, -35, 2, -6, -3, -20, 0, 10, 0, -10, -2, 8, -4, 30, 15, -8, 16, 8, -2, -61, -22, 0, -12, -67, 15, 9, -2, -3, 46, -48, -14, -27, 1, -18, 0, -34, 2, 51, 0, 3, 8, 10, -1, 38, 7, -18, -3, 0, -7, -26, -6, 0, 18, -1, 3, 1, 18, 10, 10, 2, 0, 4, -9, -2, 27, 3, 10, 7, 3, 41, -3, 6, 2, 0, 3, 5, -5, -26, 3, 67, 16, 2, -8, -18, 30, 44, 0, 28, 0, -66, 2, -75, -16, 16, -3, 4, 8, -9, -9, 0, 3, -38, 2, 54, 44, -3, -1, -24, 1, -15, 15, 6, 0, -54, -3, 45, 14, 6, 39, -11, 35, 34, 3, -2, 3, 0, -10, -19, -39, -17, 1, -7, -2, -21, -20, -10, -41, 7, 0, 16, -14, 27, 9, 5, -3, -67, -7, -14, -19, 16, -16, 0, -1, 8, -3, 45, 23, 49, -10, -4, -15, -21, -2, 26, 0, -2, -6, -17, 10, -68, 0, 9, -3, -69, -10, -1, -46, 0, -4, -30, 1, 10, -8, 0, 8, 1, -2, 34, 26, 3, 0, -58, -5, -8, 15, -18, -18, -8, -3, 29, -2, -25, -14, 0, 32, 24, -18, -1, 13, -30, 2, 0, 20, -12, 3, -19, 0, -126, -1, 30, 1, -35, -18, 13, -12, 7, -7, 44, 10, 0, 0, -8, -34, 15, 3, 2, -43, -35, 10, -3, 13, 84, 0, 2, -5, 70, -2, -24, 2, 3, 10, 14, 0, -70, 41, 0, 16, -42, 2, 65, -39, 4, 5, -23, -15, 19, 3, -16, 0, 50, 2, -6, -32, 22, 30, 52, 12, -10, 28, -15, 29, 0, 2, -20, 10, -46, 16, -20, 14, -54, 8, -1, -25, 51, 0, -4, -50, -2, 2, -29, 0, 19, -3, -8, -2, 5, 1, 0, -9, -7, 6, 26, 3, -15, -3, 7, -15, 4, 6, -32, 0, -18, 35, 7, -3, -28, -2, -18, 42, 8, -10, -30, -65, 0, -17, 53, 9, 12, -2, -27, 18, 56, -10, -16, -40, -3, 0, -10, 3, -80, 27, -2, 4, -16, -3, -56, 21, 5, -14, 0, -3, -13, -16, -16, 15, -80, 8, -24, 2, -30, 23, 9, 0, -53, -4, 0, 12, 22, -2, -10, 23, 16, -2, 5, 3, 0, 10, -8, -66, 15, 9, 37, 24, -3, -10, 49, -2, 26, 0, -44, 7, 15, 1, -12, -36, -1, 0, -81, -15, -68, -2, 0, 36, 2, 3, 80, -17, -14, -5, 49, -39, 54, -18, -35, 0, -60, -3, -36, -39, -3, -25, 0, 10, 9, 32, 39, 23, 0, -1, 126, -11, 2, 2, -28, 20, -3, -12, 41, -56, 50, 0, 23, -6, 14, 30, -82, -9, 34, -18, 3, 10, 13, 7, 0, 81, 19, 10, -56, 16, 8, -8, 1, -1, -9, 3, -26, 0, -23, -35, 75, 10, -24, 13, 15, 46, -30, 2, -3, 35, 0, -2, 33, 6, -29, 3, -10, 20, -28, 0, 4, -10, 3, 0, 36, 10, -7, 2, 46, -8, -76, 4, -34, -30, -1, -15, 0, 8, 90, -16, -8, -8, -27, 2, -52, 61, -26, 22, -93, 0, -3, 12, 5, 67, 29, -15, 12, -9, 18, 2, -51, 3, 0, -46, 2, 48, -66, 14, -33, 27, -32, -1, 10, 18, -10, 0, -13, 34, 15, -2, 66, -51, -20, 0, -12, -3, -22, -8, 0, -10, -4, 1, 39, -38, -1, -7, -52, 18, 28, 3, 12, 0, 38, 7, 41, 26, -10, 6, 1, 0, 30, -18, 34, 1, 0, -3, -66, -1, 43, -18, -20, -10, 48, -10, -13, -2, -40, 0, -15, -4, 5, 9, 25, 2, 9, -27, -2, -3, 30, -10, 0, -7, 0, -3, 11, -41, 26, 3, -16, -6, 68, -2, 32, 0, 39, -3, 78, -5, 27, 5, 15, 26, -10, -3, 39, -67, 0, -16, 50, -2, -44, 8, 32, 18, -30, -30, -6, -44, -12, 0, -80, -28, -84, 0, -29, 66, 29, -2, 29, 75, -10, 16, 0, -16, 3, 3, -14, -4, -32, -8, -18, 9, 25, 9, -8, 0, 14, -3, 50, 38, 81, -2, 3, -54, 0, -44, 78, 3, 0, 1, 2, 24, 24, -1, 0, 15, 9, -15, -85, -6, -12, 0, -3, 54, -12, 3, -96, -45, 15, -14, -27, -6, -40, -39, 0, 11, -18, -35, -23, -34, 3, -3, -41, 2, 46, -3, -42, 0, 21, 10, 3, 19, 65, 39, 86, 17, 122, -1, -9, 7, 0, 2, 47, 21, -18, 20, -45, 10, -62, 41, 40, -7, 14, 0, -21, -16, -3, 14, 0, -27, 44, -9, -4, -5, 88, 3, 0, 67, -21, 7, 84, 14, 10, 19, 3, -16, 34, 16, 42, 0, -15, 1, 41, -8, -88, 3, -2, -45, 68, -23, -35, -49, 0, 10, 123, 4, -1, 15, -12, 21, 41, 2, 10, -26, -23, 0, 42, 2, -31, 6, -3, 17, 92, -10, 5, 68, 66, 0, 0, -9, -80, 3, -24, 69, -75, 10, -61, 1, 2, 46, 27, 0, -83, 4, -7, 30, 9, -1, -20, -10, 36, 8, 28, 0, 0, -8, 15, -1, -35, 2, -10, -34, -36, -26, -12, -3, 16, 0, 17, 58, -44, 5, 124, 8, 39, -15, -10, 18, -3, 18, 0, 8, 56, 3, 139, -29, 39, 2, 17, 25, -16, 14, -10, 0, -3, -32, 31, -24, -23, 18, -13, 1, 12, -13, 11, 30, 0, -2, 6, 0, -20, -20, -28, 12, -6, -3, 56, 19, 10, 0, -35, 126, 6, 1, 101, -30, -20, -1, 9, 35, 44, 18, 0, -13, -10, 12, -2, -7, 21, 7, -81, -44, 2, -10, -43, 0, -16, 0, 74, 8, -17, 34, 1, -15, -88, -3, 68, -2, 0, 43, 24, 35, 30, -10, -10, 3, -56, -13, 109, -84, -46, 0, -54, -2, -39, 5, -35, -70, 27, 2, 21, 24, -6, -2, 0, -3, 83, -10, -20, -14, -78, 0, -14, 70, 10, -41, 45, 0, -21, -16, -10, 42, -3, -2, 12, -65, 8, 39, -110, -4, 0, -5, 30, 23, -48, 15, 15, -19, -8, -3, -4, 16, -38, 0, 8, -50, 5, -2, -35, 6, -61, 32, -85, -22, -2, -30, 0, -52, -11, -12, -3, 10, -67, -28, 27, 15, -33, -29, 9, 0, 118, -2, 16, 20, -3, -10, 4, 46, -14, -16, -48, 20, 0, -14, 73, 54, -27, -8, 122, 1, 70, 25, -18, -51, 5, 0, 0, 4, -34, 50, 106, 2, 64, -2, 51, 29, -28, 0, 0, -19, 3, 3, -108, 8, -12, 2, 10, -5, -2, -1, 37, 0, 38, 9, -18, 7, 92, -6, -18, -26, 10, -3, -22, 15, 0, 3, 77, -7, -25, 15, -26, -4, -46, -6, -13, 32, 0, 0, 0, 18, 150, -35, -1, -7, -47, 3, 32, 28, 1, 2, 0, 18, -4, -42, 10, -8, -12, 10, -40, 30, 2, 65, 8, 0, -50, 17, 4, -53, -18, -9, 30, -12, -2, 2, 40, 27, 0, -18, 3, -56, 120, 10, -57, 16, 7, 40, -11, 3, 9, 0, 41, 10, -21, -3, -16, 80, 6, -27, -8, 2, -42, -4, 0, 16, -28, 3, -48, 56, 5, -21, -107, -5, -35, 14, -26, 0, -87, 3, -118, 13, 67, 16, 54, 16, 76, -15, 2, 80, 0, -8, 44, 24, -18, -2, 83, 30, 18, -23, 44, -9, 3, 0, 175, 53, 28, 4, 75, 0, -36, -12, -66, -22, 38, 2, 0, 10, -75, -23, 116, -16, 6, 2, 16, -5, 126, -3, -11, 0, 4, -10, 38, 8, 48, 66, -9, -15, -10, -9, -1, -37, 0, -24, -16, 3, 33, 10, -38, -49, -34, 2, 41, -26, 54, 0, 2, 44, 22, -7, -3, -15, 12, -1, 4, 12, -24, 36, 0, 1, 40, 0, -15, 81, -43, 15, -31, 68, 6, 2, -14, 0, 0, -36, -54, -2, -46, -3, -46, -80, 45, 17, 141, 14, 0, 5, 6, -49, 68, 39, -1, -54, -11, 18, -18, 35, 115, 0, 34, 60, 48, 3, -12, 36, -2, 39, 52, 3, -12, 25, 0, 0, 48, -10, 72, -9, -19, -32, -8, -39, 114, -23, -17, 0, 35, 1, 46, -126, -7, 11, 50, -2, -7, -2, -21, 28, 0, -20, -70, 3, -10, 12, 67, -41, -20, 56, 7, -50, 50, 0, -2, -23, 16, 6, 66, -14, 70, -30, 27, 82, -18, 9, 0, -34, 5, 18, 5, -3, 2, -10, -67, -13, -20, -7, -18, 0, -14, -81, 17, -19, -8, -10, 16, 56, 2, -16, -88, -8, 0, 8, 77, -1, -18, 1, 8, 9, 78, -3, -25, 26, 45, 0, -27, 23, -51, 35, 49, -75, -112, -10, 36, 24, -4, -13, 0, -15, -3, -46, -21, 30, -6, -2, 63, 3, 26, -35, -49, 0, 6, 2, -2, -33, 160, -6, 150, 29, -17, -3, 93, 10, 0, -20, -68, 28, 5, 0, 68, -4, 9, 10, -57, -3, -15, 0, -69, -36, -32, -10, -16, 7, -1, -2, -12, -46, -29, 8, 0, 76, -39, -4, 49, 34, -30, 30, 12, 1, 7, 15, 10, 0, 4, -8, -71, -90, 0, 16, 0, 8, 108, 8, 1, 27, 0, -2, -12, 52, 34, -61, 30, 26, 16, -22, 3, 93, -5, 0, 12, 3, -58, -12, 9, -5, -80, -67, -8, -29, 62, 15, 0, -12, -18, 9, 89, -18, -86, -2, -8, 51, -3, -3, -59, 0, 29, 46, 65, -2, -8, -48, -25, 66, 47, -14, -44, 33, 0, -27, 72, 32, -36, 1, 24, -10, 108, -18, 28, 10, -1, 0, 25, 13, -88, -34, -30, -15, 42, 2, -119, -66, 0, 51, 0, 20, 96, 0, -12, 12, 60, 3, 20, 22, -19, 8, -23, 0, -14, 10, -126, 4, -24, -1, -64, -39, 30, 38, -9, 1, 0, 7, -35, 52, -59, -18, -75, -28, 13, -3, -33, -12, 43, 0, 7, -38, -3, -7, 123, -41, 44, -26, -63, 10, 1, -6, 0, -1, -186, 0, 39, -30, -8, 18, -122, -34, 84, -1, 15, 0, 60, 3, 135, 66, 2, 1, -9, -43, -7, 18, -35, 20, 0, 10, -34, -48, -3, 10, 41, 13, -42, 2, 84, 40, -76, 0, 252, 15, 2, 4, 82, -5, 14, -9, 70, -25, -104, -2, 0, -9, -24, 27, -8, 2, -32, 3, 3, -30, 12, 10, -13, 0, 14, 7, -99, 0, -138, 3, -70, -11, 19, 41, 71, -26, 0, -3, 87, 16, 0, 6, -42, -68, 108, 2, 1, -32, 65, 0, 77, -39, -154, 3, 4, -78, 52, 5, -54, -27, -23, -5, 0, -15, -156, -26, 19, 10, 34, 3, 1, -39, -16, 67, 15, 0, 8, 16, 50, -50, 26, 2, 53, 44, -6, -8, -72, -32, 0, -18, 22, 30, 146, 30, -63, 6, 52, 44, 33, 12, 74, 0, -10, 80, -7, 28, 38, 84, -15, 0, 25, 29, -6, -66, 0, -29, 3, 2, -111, -29, -20, -75, 73, 10, 36, -16, -46, 0, 42, 16, 46, -3, -20, -3, -10, 14, 192, 4, -54, 32, 0, 8, 45, 18, -1, -9, -81, -25, 84, -9, 51, 8, 36, 0, -106, -14, -4, 3, -8, -50, 74, -38, -2, -81, 139, 2, 0, -3, -29, 54, 16, 0, -26, 44, 19, -78, 15, -3, 36, 0, -8, -1, 92, -2, -17, -24, 5, -24, -48, 1, -21, 0, 0, -15, -41, -9, -80, 15, -7, 85, 18, 6, 123, 12, 26, 0, -44, 3, 10, -54, -15, 12, 44, -3, 2, 96, 7, 45, 0, -15, -4, 14, 4, 27, -24, 6, -84, 40, -32, 39, 51, 0, 34, -11, -18, 18, 44, 35, -114, 23, 7, 34, -13, -3, 0, 3, -28, 41, -78, -2, 15, -46, -18, 3, 66, 42, -20, 0, 8, -21, 56, -10, 10, -3, -30, -19, -68, -65, 4, -39, 0, -86, 49, -17, 98, -122, 53, 1, 15, 9, 17, -7, 12, 0, -1, -2, -93, -47, -27, -21, 0, 18, -88, -20, 56, 45, 0, -10, 12, 62, -16, -41, 204, -40, 27, 7, -3, -14, 96, 0, 26, 21, -10, 16, 0, 3, -115, -14, -80, 0, 16, 27, 0, -44, -2, 9, 34, 4, 80, 5, -16, -88, 55, -3, -156, 0, -56, -67, -78, 21, 43, -7, 5, -84, -61, -14, -75, -10, 0, -19, 92, -3, 57, 16, -13, -34, 78, -16, -75, -42, -16, 0, -28, 15, -10, -1, -80, -41, 5, 8, -9, 88, -24, -3, 0, 2, 6, 45, -30, -68, -195, 23, -2, 35, 9, 49, -72, 0, -150, -10, -53, -123, -138, -4, -7, 1, 0, -15, -66, 12, 0, -21, 22, -41, 18, -2, 70, -10, -10, 26, -16, 23, -144, 0, 16, -42, -114, -2, -51, 31, 5, -6, 9, 3, 39, -17, 0, -92, 34, 10, -121, -5, -8, -68, 120, -66, 14, 0, 15, 0, -4, 9, 4, 80, 37, -3, -27, 24, 100, -69, -3, 75, 0, -10, 81, 61, 49, -1, 227, -2, 25, -46, 26, -27, -8, 0, 32, 83, -44, -4, 122, 7, -156, -30, 15, -9, -5, 1, 0, 20, -12, 10, -45, -36, -132, -8, -1, -28, -9, 0, -64, 0, -81, 8, -29, -15, -44, 1, -68, 35, -115, -2, 11, 10, 0, 34, -41, 36, -10, 26, 2, 12, -53, 3, -47, -16, 80, 0, -7, -17, -59, -58, -14, 44, 12, -5, -112, -124, 49, -8, 0, -39, -142, 15, 54, 10, 25, -18, 36, 3, -35, -18, -27, 0, 102, -8, -60, -56, -96, -3, 50, -139, -36, 29, -36, -39, 0, -2, -3, -17, 34, -25, 104, 16, 0, -14, -10, 10, 30, 0, 9, 3, -58, 32, -60, -31, 39, 24, 2, 23, 61, -18, 0, 13, 30, -1, -78, -12, 126, 13, 84, -11, 9, -30, 2, 0, 48, 2, -93, -6, -28, 0, 13, 20, -74, 20, -3, 28, 0, -12, 18, 6, 41, 3, 19, -56, -61, -19, 50, -10, 15, 0, 56, 35, 23, -126, 8, -6, 12, -1, 14, -101, 10, 30, 0, 20, -82, 1, 186, -9, -11, -35, 34, -44, -150, -18, -41, 0, 3, 13, -23, 10, 40, -12, 13, 2, 16, 7, 58, -21, 0, -7, -42, 81, -68, 44, 19, -2, 32, 10, -90, 43, -56, 0, 31, 16, 65, 0, 8, -74, -3, -8, -33, 17, 1, -34, 0, -1, -92, 15, -9, 88, -44, 3, -76, -68, -26, 2, -87, 0, 2, -43, -23, -24, -18, -35, 72, -30, 75, 10, -5, 10, 0, -3, -24, 56, 25, 13, 40, -109, 15, 84, -36, 46, 0, 0, -30, 54, 46, 2, -46, 39, -3, -5, -8, 35, -46, 70, 0, -27, -50, -2, 35, -21, 33, -24, -4, 6, -108, 2, -29, 0, -48, 3, 90, -83, -10, 10, 132, 20, -21, 14, -28, 78, 0, 0, -84, 14, 4, -70, 39, -10, -8, 41, 3, -45, 47, 0, -121, 21, 36, 16, 95, 10, 24, -42, -7, 3, -15, 2, 0, -12, 46, 65, 26, -8, 114, -39, -76, 110, -2, 4, -2, 0, -34, 5, 17, -30, -64, -23, -1, 48, -79, -15], "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": "546.2.l.i", "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], [1, 0], [-1, 0], [1, 0], [1, 0], [1, 1], [-1, 0], [1, 0], [-1, 0], [1, 0], [-1, -1], [0, -1], [1, 0], [0, 0], [-1, 0], [1, 1], [1, 0], [-5, 0], [-1, 0], [0, -3], [1, 1], [1, 0], [0, 1], [-4, -2], [-1, 0], [0, 3], [0, 0], [1, 0], [1, 0], [-1, 0], [-1, -1], [0, -2], [-1, 0], [0, -1], [5, 0], [1, 1], [1, 0], [-3, 5], [0, 3], [0, 0], [-1, -1], [1, -2], [-1, 0], [-8, 2], [0, -1], [1, 1], [4, 2], [0, 3], [1, 0], [1, 0], [0, -3], [-5, 0], [0, 0], [-9, 2], [-1, 0], [-4, -2], [-1, 0], [0, -3], [1, 0], [-8, -2], [1, 1], [-1, 0], [0, 2], [1, 0], [1, 0], [0, 0], [0, 1], [4, -2], [-5, 0], [-4, -2], [-1, -1], [4, 0], [-1, 0], [5, -1], [3, -5], [0, 3], [0, -3], [0, -1], [0, 0], [4, -1], [1, 1], [1, 0], [-1, 2], [0, 4], [1, 0], [-5, -5], [8, -2], [-1, 0], [0, 1], [2, 3], [-1, -1], [0, 0], [-4, -2], [0, -2], [0, -3], [-12, -6], [-1, 0], [-2, -4], [-1, 0], [0, -1], [0, 3]]}