# Stored data for newform 8281.2.a.l, downloaded from the LMFDB on 20 April 2024. {"label": "8281.2.a.l", "space_label": "8281.2.a", "level": 8281, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934638169, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 530730928988218120, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 1]], [3, [0, 1]], [5, [3, 1]], [11, [-6, 1]], [17, [4, 1]]], "qexp_display": "q+2q^{2}+2q^{4}-3q^{5}-3q^{9}-6q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33124, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 66.12411791382229, "hecke_ring_index": 1, "level_radical": 91, "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": [8281, 1, [1522, 3382], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.028", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "2.103", "prec": 17}, {"__RealLiteral__": 0, "data": "0.060", "prec": 17}, {"__RealLiteral__": 0, "data": "5.355", "prec": 17}], "related_objects": ["EllipticCurve/Q/8281/l"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [13, 1]], "trace_display": [2, 0, -3, 0], "traces": [0, 1, 2, 0, 2, -3, 0, 0, 0, -3, -6, 6, 0, 0, 0, 0, -4, -4, -6, 5, -6, 0, 12, 3, 0, 4, 0, 0, 0, -5, 0, -3, -8, 0, -8, 0, -6, 4, 10, 0, 0, -6, 0, -1, 12, 9, 6, 7, 0, 0, 8, 0, 0, -9, 0, -18, 0, 0, -10, 8, 0, 10, -6, 0, -8, 0, 0, 6, -8, 0, 0, 8, 0, -13, 8, 0, 10, 0, 0, 3, 12, 9, -12, 15, 0, 12, -2, 0, 0, 3, 18, 0, 6, 0, 14, -15, 0, 7, 0, -18, 8, 14, 0, 4, 0, 0, -18, -4, 0, 2, -36, 0, 0, -3, 0, -9, -10, 0, 16, 0, 0, 25, 20, 0, -6, 3, 0, -4, 0, 0, 0, -8, 0, 0, 12, 0, 0, -4, 0, 18, 0, 0, 16, 0, 12, 15, -26, 0, 8, 18, 0, 0, 0, 12, 0, 9, 0, 8, 6, 0, 24, 0, 18, 4, -12, 0, 30, 5, 0, 0, 24, -15, -2, 8, 0, 0, -24, 0, 6, 23, 18, -14, 0, 0, 0, -12, 0, -24, 14, 0, -30, -8, 0, -22, 14, 0, 0, -2, -36, -4, 0, 0, 28, 0, 0, 18, 8, -9, 0, 30, 0, -5, -18, 0, -8, 3, 0, 0, 4, 0, -36, 0, 0, 15, 0, -12, -6, 20, 0, 14, -18, 0, 0, 15, 0, -21, 16, 0, 0, 4, 0, -17, 50, 0, 20, 0, 0, 0, 0, 0, 6, 26, 0, 18, -8, 0, 16, 2, 0, 0, 0, 15, -16, -15, 0, 27, 0, 0, 12, 0, 0, 8, 16, 0, -8, 24, 0, 1, 36, 9, 0, 30, 0, -16, 16, 0, 0, 0, 24, -1, 30, 0, -26, -19, 0, -24, 0, 0, 36, 0, 0, 0, 0, 0, -20, -30, 24, -33, 0, 0, 18, 6, 0, -22, 16, 0, 6, 24, 0, -30, 24, 0, 0, -20, 18, 0, 8, 0, 0, 0, 0, -22, 30, -12, 10, -18, 0, 17, 0, 0, 24, -18, -30, 0, 0, 0, 16, -32, 0, 11, 0, 0, -48, -10, 0, -24, 6, 0, 46, -20, 0, 6, -28, 0, 0, 39, 0, -14, -12, 18, -24, 0, 0, 30, -48, 0, 0, 0, 0, 6, -30, 0, -16, -36, 0, 0, -44, 3, 14, 30, 0, -12, 0, 0, -4, -9, -36, -13, -8, 0, -16, 32, 0, 0, 28, -27, 0, 24, 0, -13, 36, 0, 8, 0, -18, -45, 0, 0, 60, 10, 0, 12, -10, -21, 0, -16, 0, 0, -8, 0, 6, -6, 0, -12, 0, 0, 4, 15, 0, 22, 0, 0, 0, 19, 0, -9, 30, 0, 0, -36, -24, -36, -6, 0, 40, 0, 0, 0, 28, 0, -18, -22, 0, 14, 20, 0, 30, 22, 0, 0, -42, 0, 0, -6, 0, 20, 0, 27, 8, -11, 0, 0, -34, 0, 50, -21, 0, 26, 0, 0, 0, -12, 0, 20, 0, 54, 12, 0, 0, 16, 6, 0, 52, -2, 0, -42, 36, 0, -8, -19, 0, 0, 32, 0, 4, -12, 0, 42, 0, 0, 0, -40, 30, -10, -16, 0, -30, 12, 0, -14, 54, -24, 0, 0, 0, 12, 0, 0, 0, 0, 0, 40, 16, 0, 32, -6, 0, -7, -8, -30, 48, -25, 0, 0, 2, 0, 36, 12, 18, 0, 0, 0, 60, -4, 0, 9, -32, 0, 0, 7, 0, -17, 0, 0, 0, 12, 24, 2, -2, 0, 30, 0, 0, -54, 0, 0, -38, 39, 0, -15, -48, 0, -16, -27, 0, 0, 36, 0, 0, 11, 0, 10, 0, -18, 0, -75, 0, -2, -40, 0, -60, 0, 24, -8, -66, 0, 0, 30, 0, 20, 18, 0, 12, 0, 0, -29, -44, 0, 16, -16, 0, -22, 0, 0, 48, 12, 0, 0, -60, -24, 0, 9, 0, 8, 0, 0, -40, -18, 0, 48, 0, 0, 8, 18, 0, 24, 24, 39, 0, 17, 0, -33, -44, 0, 0, 0, -24, -15, 10, 0, -36, 60, 0, 1, 34, 0, 0, -22, 0, 0, 0, 0, -36, 12, -30, 12, 0, 0, 4, 0, 0, 11, 16, 0, -64, -54, 0, 24, 22, 0, 0, -27, 0, 20, -48, 0, -20, 0, 0, 10, -48, -9, 0, -9, 0, 0, 46, 0, -40, -18, -36, 0, 12, 0, -28, -20, 0, -46, 0, -27, 78, 4, 0, 51, -28, 0, -24, 36, 36, 26, -24, 0, 0, -36, 0, -54, 60, -45, -48, 0, 0, -17, -28, 0, 0, 0, 0, -15, 12, 0, 0, 9, 0, 0, -16, -36, -72, 0, 0, -35, 0, 0, -44, 54, 6, -12, 0, 0, 60, -30, 0, 48, -24, 0, 0, -24, 0, 37, -4, 0, -18, 0, 0, 0, -26, 0, -8, -18, 0, -28, -32, -9, 64, -78, 0, 0, 0, 0, 0, -31, -54, -52, 0, 0, 48, -12, 0, -5, -26, 0, 36, 6, 0, -32, 0, 0, 0, -4, -18, 10, -90, 0, 0, 0, 0, -15, 60, 0, 20, -8, 0, -4, 24, 0, -10, 0, -42, 0, 36, 0, -32, 12, 0, 45, 0, 45, 0, 6, 0, 2, 6, 0, -12, 32, 0, -24, -24, 0, 0, 18, 0, 0, 0, -21, 30, 0, 0, 0, 44, 0, 72, 30, 0, -4, 0, 0, 38, 12, 0, 0, -18, 54, 30, 35, 0, -69, 0, 0, -72, 15, -24, 36, -72, 0, 0, 42, 0, 7, 40, -42, 0, -15, 0, 90, 0, 0, 28, 0, 0, 8, 0, 0, -44, 0, 0, 16, 28, -12, 40, 5, 0, 0, 30, 0, 44, 72, 0, 8, 0, 0, -42, 55, 0, -18, -32, 0, -12, 18, 0, 0, 40, 0, 0, -39, 54, 24, 8, 0, -22, 0, 0, -22, 0, 12, -34, 66, 0, -22, 0, 0, -42, -38, 0, 0, 52, 0, -40, -10, 0, 18, 0, -6, -24, 17, 0, 6, 40, 0, 0, -3, 108, 4, 24, 0, 0, 12, 0, 28, 32, 0, 0, 0, 0, -32, 52, 0, -4, -45, 0, 26, -84, 0, 36, -8, 0, 0, 0, 9, -38, -54, 0, 30, 0, 0, 32, -24, 0, 0, 4, 0, -24, 1, 0, 28, 84, 27, 0, -40, 0, 64, 0, 0, -80, 0, 30, -90, -20, 0, 0, 0, 0, -48, -30, 0, 24, 15, 0, 0, -28, 0, 54, -54, -48, -22, 0, 0, 0, 42, 0, 14, 24, 0, -24, -20, 0, -4, 0, 0, 0, 0, 0, 21, 80, 0, 16, 0, 0, 4, 32, -75, -12, -18, 0, 6, -14, 0, 0, -23, -60, 0, 48, 0, -50, 46, 0, 0, 0, 0, 2, -18, 0, 84, 0, 0, 24, -45, 18, 55, 0, 0, 0, 40, 0, -35, 60, -9, -8, 0, 0, -6, 18, 0, -32, 24, 0, -60, -32, 0, 14, -24, 0, 0, -34, 12, 0, -42, 0, -12, 0, 0, 24, 9, 0, 36, 4, 0, -2, 0, 0, 50, 0, 0, 0, 66, 0, -45, -108, 0, 52, 0, 0, -1, -38, 0, 78, 28, 0, -24, -30, 24, -48, -3, 0, 0, -32, 0, -54, 21, 0, 30, 0, 0, 0, -12, 0, -12, 0, 0, 22, 12, 0, -54, 20, 0, 0, 51, -36, -32, 0, 0, -150, 0, 0, 29, -4, 0, -40, 11, 0, -27, -60, 0, 0, 38, 0, 0, -16, 0, -66, 52, 0, 44, 0, 12, 60, 0, 0, 47, 40, 0, 0, 52, 0, -18, 12, 0, 0, 5, 0, 4, -58, -54, -44, 0, 0, -78, 0, 0, -32, 7, 0, 0, -44, 0, -12, -54, 0, 0, 48, 0, 24, 18, 0, 30, 0, 0, -60, -36, -48, 17, -48, 0, 18, -33, 0, -6, 16, 0, 0, 36, 0, -6, -40, 0, -36, 0, -36, 35, 96, 0, 0, 40, 0, -32, 0, -45, 36, 60, 0, 0, 48, 0, 48, 0, 78, 45, 0, 0, 34, -49, 0, 25, -66, 0, -44, -36, 0, -53, -60, 0, 0, 84, -24, 3, -30, 0, 0, 0, 0, 0, -36, -54, 120, -12, 0, 0, 2, 0, 34, 40, 0, 0, 0, 0, -44, -24, 0, 24, 0, 0, -48, 24, 0, -35, -36, 0, 24, -12, 0, -21, 24, 0, 0, -32, 0, 18, 8, -36, 0, 0, 0, 53, 22, 0, 0, -3, 0, -65, -64, 0, -108, 0, 0, 0, 48, -27, 22, -24, 0, 56, 0, 0, -54, 30, 0, -90, 40, 0, 0, 12, 0, -60, -20, -24, 0, 48, 0, 0, 20, 0, -48, 0, -18, -14, -12, 0, -18, 6, 0, 31, 0, 0, 0, 24, 0, 0, -40, 0, -36, 45, -72, -48, 0, 0, 12, 3, 0, 6, 0, 0, -40, -18, 0, -46, -92, 0, 0, -21, -54, -16, 78, 0, 8, 0, 0, 57, 102, -12, -28, 0, 0, -20, -24, 0, 72, 32, 36, 0, 52, 0, 0, 30, 0, 14, 0, 0, -72, -49, 0, -66, -108, 0, 60, 20, -90, 0, 0, 0, 0, 57, 0, 15, -34, -15, -56, 0, 0, -24, 0, 0, 0, 54, 0, -12, -30, 0, 12, -24, 0, 0, 60, 0, 18, -12, 0, 40, 0, 0, 0, 108, -72, 74, -72, 0, 0, 99, 0, 45, -70, 45, 0, 18, 0, -44, 0, 0, 108, 0, 6, 62, -24, 0, -28, 23, 0, -18, 60, -24, -60, 0, 0, 0, 96, 0, -24, 66, 0, -49, 0, 0, -48, 33, 0, 0, 74, 0, 0, 75, 0, 32, -18, 0, 0, 61, 72, -72, 0, 0, -26, 0, 0, -4, 0, 0, -36, 90, 0, -28, -56, 0, -32, -42, -18, 0, 64, 0, -156, 30, 0, -78, 0, -69, 0, -18, 0, 60, -56, 0, -62, 24, -54, -65, -104, 0, 0, 0, 0, -4, 48, 42, -24, 0, 0, 24, -10, 0, -26, -48, 0, 108, 0, 0, 12, 27, 0, 0, -64, 0, -16, -28, 0, 0, 0, 0, -8, 66, 0, 27, 20, 0, -90, 0, 0, -61, 0, 36, 0, -43, 0, 67, -30, 0, 0, 0, 0, 24, 20, 0, -16, -39, 0, -5, -8, 72, 24, -51, 0, 0, 0, 0, 0, 15, -42, -70, 0, 0, 72, -2, 0, -46, -32, 0, 24, 0, 0, 54, 90, 0, 0, -62, 90, -40, 16, 0, 12, 0, 0, -56, 4, 24, 0, 15, 0, 6, -12, 0, 64, 48, 0, 0, -48, 0, -24, -46, 0, 96, 0, 66, 36, 28, 0, 6, 0, 0, -8, -33, -42, -68, 30, 0, 0, -16, 0, -70, 0, 0, 44, 0, 0, 77, 144, 0, 60, 6, 0, 30, -8, 0, 0, -50, 0, 0, 38, 6, 24, 32, 0, -32, 0, 0, -18, 0, 108, -48, 0, 0, 70, 60, 0, 64, -138, 12, 0, 24, 0, 60, -72, 0, 30, 0, 0, 52, 72, 0, -72, -18, 0, 0, 12, 0, 84, 36, 0, 0, 14, 0, 0, 9, -84, 16, 0, 0, -30, -54, 0, -52, 180, 0, 0, -24, 0, -26, 0, 0, 0, 42, 0, 30, 16, 0, 36, 0, 0, 35, -44, -54, 0, 68, 0, -42, 32, 0, 28, -8, -24, 0, 40, 0, 10, 0, 0, 59, 0, 27, 0, -90, 0, 12, 44, 0, 144, 39, 0, -61, 16, 0, 0, 48, 0, 64, 0, -90, 110, 0, 0, 0, -36, 0, -64, 8, 0, -30, -12, 0, 36, -18, 0, 0, 0, 15, 40, -45, 0, 48, 0, 0, -78, -48, 54, 45, 48, 0, 0, 26, 0, 108, -22, 0, 0, 70, 0, 12, -44, 0, 0, 0, 24, -42, 0, 0, 132, 53, 0, -67, -44, -9, -100, 0, 0, 0, -42, 0, -76, -30, 0, -90, 0, 0, 52, 72, 0, -38, -80, 0, -20, 36, 0, 20, 36, 0, 0, -36, -12, 0, -24, 0, 34, 0, 0, 138, 12, 0, 40, 0, 0, 12, 0, 0, -6, 28, 108, 0, 8, 0, 24, 39, 0, -55, 0, 0, 24, -84, 0, -34, 56, 0, 32, -12, 0, -9, -12, 0, 0, 31, 0, -96, -64, -45, 0, 0, 0, 17, -4, 0, -90, 0, 0, -70, 52, 0, -84, -7, 0, 0, 0, 36, -16, 12, 0, -16, 0, 0, 16, -20, 18, -72, -38, 0, -108, -54, 0, 0, 60, -60, 0, 39, 0, 9, 0, 0, -48, 0, 0, 31, 0, 0, 0, -100, 0, -40, -24, -42, 2, 40, 0, 0, 56, 0, 84, 18, 54, 10, 0, 0, -80, 60, 0, -18, 128, 0, 0, 38, 0, 41, -80, 0, 0, 64, 0, 0, -180, 0, -20, 0, 0, -30, 32, -45, 0, 33, 0, -48, -96, 0, 0, -36, 0, 0, 24, 0, 30, 10, 0, 9, 0, 63, -28, 65, 0, 0, 0, 0, -108, -132, -48, -12, -44, 0, 0, 5, 0, -64, 0, 0, 84, 0, 0, 60, 28, 0, 24, 54, 0, -44, -48, 0, -40, -15, 0, 0, -8, -12, 0, 32, 0, 18, 0, 0, 0, 16, 0, 0, 42, 0, 80, 36, 0, -12, 0, 51, 0, 0, 0, 54, 8, 0, 0, 0, -150, -28, -12, 0, -36, 32, 0, -45, 12, 0, -14, -24, 0, 0, 16, 0, -46, -66, -60, 0, 0, 0, 0, -24, 0, -53, -50, 0, 92, 36, 0, 2, 0, 0, 0, -26, 0, -57, 0, 0, -36, 0, 0, -14, 168, 0, -72, 12, 0, 32, 24, 0, -90, 21, 0, 0, 110, 0, 0, 23, 0, -26, 0, 0, 80, 39, 0, 108, -70, 0, 0, 0, -18, -94, -8, 0, 0, 108, 0, 40, -12, -78, 18, 0, 0, 39, 0, 0, 48, 1, 0, -8, -120, 0, -64, -70, 0, 0, 14, -54, -48, 9, 0, -14, 0, 0, -34, 0, 24, 38, 0, 0, -84, -15, 0, 28, -24, 0, 0, 94, 0, 125, 24, 0, 18, 0, -48, 66, 72, 0, 4, -30, 0, 88, 0, -6, 0, -42, 0, 0, 100, 0, -60, -30, 0, 42, 0, 0, 132, 0, 0, 16, -90, 0, -108, -24, 0, -66, 104, 0, 0, -24, 0, -30, -2, 0, 0, 0, 0, 48, 78, -45, 56, 81, 0, 0, -48, 0, -30, -18, 48, 0, 0, 0, -6, -72, 0, 18, 0, 45, -32, 12, 0, -23, -54, 0, 42, 15, 0, 78, 60, 0, 0, -64, 0, 94, -72, -81, -24, 0, 0, -74, -24, 0, 0, 6, 0, 33, 22, 0, 24, 71, 0, 0, -108, 0, 20, 0, 0, -75, 0, 0, 102, -1, -36, -20, -64, 0, 0, -38, 0, -48, -150, 0, 0, -58, 0, 28, 58, 0, -4, 0, 0, 0, 0, 0, 22, -78, 0, -6, -54, -24, 0, -42, 0, 0, 0, 0, 76, 79, -48, -9, 0, 0, -16, 90, 0, 36, 0, 0, 104, 4, 0, -12, 88, 0, 0, -60, 24, -6, 60, 0, 0, 0, 0, -17, 94, -72, 40, 25, 0, 24, -36, 0, 104, 0, 0, 0, -36, 0, 0, -40, 0, -63, 0, -3, 10, -48, 0, 120, 8, 0, -58, -60, -108, -6, 0, 0, 0, 6, 0, 0, -156, -27, -32, 0, 0, 6, -32, 0, 14, 84, 0, -33, 0, 0, -44, 56, 0, 0, -24, -90, -108, -84, 0, -72, 0, 0, 0, -8, 0, 70, 24, 0, 36, -16, 0, 57, 60, 48, 0, 51, 0, 44, 0, 0, -72, 0, -48, -53, 34, 0, -96, 0, 0, 90, 18, 0, -66, 0, 0, 0, -12, 0, 16, -45, 0, 16, 0, 0, 72, 12, 0, -15, -12, 0, 0, -126, 0, 0, -36, 0, 0, -72, -72, -74, 70, 0, 96, 0, 0, -9, 0, 3, 80, -20, 0, 120, -64, 0, -16, 12, -90, 0, 36, 0, 120, 30, 0, 78, 0, 0, 48, -87, 0, -10, 48, 0, 0, 32, 78, 24, 90, 0, 0, -34, 0, -36, 34, 57, -98, 0, 0, 90, 50, 0, -66, 42, 0, 24, 0, 0, -72, -102, 0, 0, -106, 72, -120, 32, 0, -65, 0, 0, 168, -17, 0, 0, 6, 0, -30, -32, 0, 8, -20, 0, 0, -16, 0, -16, 0, 0, 0, 0, -108, 92, 120, 0, -24, -28, 0, -46, 0, 0, 2, -21, 0, 0, 0, 0, 80, -4, 0, -52, 0, 0, 0, -120, 0, -100, -44, 0, -48, 20, 0, 25, 48, 0, 0, 0, 0, 24, -96, 0, 48, 0, 0, 8, -70, 0, 0, -30, 0, -35, 24, 0, -24, 21, 60, 0, -42, 0, 24, 64, 0, 0, 0, 90, -64, -36, 0, 77, 36, 0, 8, 3, -72, 75, 0, 0, 0, -9, 0, 156, 106, 99, 22, 0, 0, 22, -32, 0, -6, -16, 0, 56, -130, 0, 0, -13, 0, 0, -108, 0, 0, 75, 0, -36, 0, 0, 48, 33, -54, -96, 0, 0, -48, 0, 0, -16, 112, -18, 0, -68, 0, -89, -54, 0, 60, 0, 0, 28, -180, 0, 40, -35, 0, 12, 96, 66, 24, -77, 0, 0, -120, 0, 0, -12, -48, 12, 0, 0, 96, 90, 0, 16, 0, 0, 20, -87, 0, -20, 0, 0, 0, -31, -18, -21, -28, 0, -24, 0, 0, -44, -18, -72, 12, 51, 0, -57, 62, 0, 0, 92, 0, 0, -92, 0, 48, 70, 0, 0, 0, 90, 0, 0, 0, 9, -36, 0, 90, -36, -72, -6, -96, 0, 0, -6, 0, 24, 0, 0, 6, 0, 0, -90, 12, 0, 56, -14, 0, 0, -40, 0, -36, -56, 0, 0, -92, 60, -92, 39, 0, -48, 0, 0, -42, 162, -54, -58, -32, 0, 0, -12, 0, 12, 8, 0, 0, -84, 0, -70, 114, 0, 102, 0, -24, -117, 0, 0, 0, 16, 0, -32, -40, 0, 0, 45, 0, 0, 72, 0, 64, 0, 0, -22, 0, 0, 52, 57, 0, 0, 48, 0, 60, 91, 0, 81, 28, 0, 0, 84, 0, -65, -72, 0, -98, 0, 0, 0, -132, 66, -108, 48, 0, 40, 0, 0, 40, -20, -90, 0, 0, 0, 96, 78, 0, -33, 0, 36, 114, 66, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "91.2.a.a", "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], [2], [0], [2], [-3], [0], [0], [0], [-3], [-6], [6], [0], [0], [0], [0], [-4], [-4], [-6], [5], [-6], [0], [12], [3], [0], [4], [0], [0], [0], [-5], [0], [-3], [-8], [0], [-8], [0], [-6], [4], [10], [0], [0], [-6], [0], [-1], [12], [9], [6], [7], [0], [0], [8], [0], [0], [-9], [0], [-18], [0], [0], [-10], [8], [0], [10], [-6], [0], [-8], [0], [0], [6], [-8], [0], [0], [8], [0], [-13], [8], [0], [10], [0], [0], [3], [12], [9], [-12], [15], [0], [12], [-2], [0], [0], [3], [18], [0], [6], [0], [14], [-15], [0], [7], [0], [-18], [8]]}