# Stored data for newform 1078.2.a.l, downloaded from the LMFDB on 29 March 2024. {"label": "1078.2.a.l", "space_label": "1078.2.a", "level": 1078, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934630966, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2143174123990460164, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-2, 1]], [5, [-2, 1]], [13, [2, 1]]], "qexp_display": "q+q^{2}+2q^{3}+q^{4}+2q^{5}+2q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4312, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 8.607873337894025, "hecke_ring_index": 1, "level_radical": 154, "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": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [1078, 1, [199, 981], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.030", "prec": 17}, {"__RealLiteral__": 0, "data": "0.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "1.925", "prec": 17}, {"__RealLiteral__": 0, "data": "0.181", "prec": 17}, {"__RealLiteral__": 0, "data": "4.753", "prec": 17}], "related_objects": ["EllipticCurve/Q/1078/l"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [7, -1], [11, -1]], "trace_display": [1, 2, 2, 0], "traces": [0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, -2, 0, 4, 1, 0, 1, 2, 2, 0, 1, 0, 2, -1, -2, -4, 0, 6, 4, -4, 1, 2, 0, 0, 1, 2, 2, -4, 2, -8, 0, 12, 1, 2, 0, -12, 2, 0, -1, 0, -2, -2, -4, 2, 0, 4, 6, -10, 4, 10, -4, 0, 1, -4, 2, -12, 0, 0, 0, 4, 1, -12, 2, -2, 2, 0, -4, 0, 2, -11, -8, 18, 0, 0, 12, 12, 1, 0, 2, 0, 0, -8, -12, 4, 2, 12, 0, 1, -1, -6, 0, -12, -2, 0, -2, 12, -4, -10, 2, 4, 0, -10, 4, 0, 6, -2, -10, 0, 4, 1, 10, -16, -4, -12, 0, 4, 1, 24, -4, 2, 2, 0, -12, -8, 0, 22, 0, 14, 0, -24, 4, -2, 1, 12, -12, 0, 2, -14, -2, -4, 2, 0, 0, -8, -4, 14, 0, -4, 2, 0, -11, 12, -8, 4, 18, -12, 0, -9, 0, 2, 12, 6, 12, 0, 1, -20, 0, 12, 2, -18, 0, 20, 0, 4, -8, 0, -12, 0, 4, 12, 2, -2, 12, -8, 0, -6, 1, -4, -1, -24, -6, 0, 0, -16, -12, 0, -2, 2, 0, -4, -2, 8, 12, 24, -4, 0, -10, -24, 2, 0, 4, -8, 0, -1, -10, -6, 4, 30, 0, 0, 6, -10, -2, -24, -10, 0, 0, -4, 4, -8, 1, -10, 10, 0, -16, -4, -4, 36, -12, 18, 0, 0, 4, 0, 1, -16, 24, 0, -4, 6, 2, 16, 2, -4, 0, 0, -12, 6, -8, -16, 0, 0, 22, -1, 0, -14, 14, -4, 0, -10, -24, 2, 4, 8, -2, 0, 1, -17, 12, 24, -12, 26, 0, -20, 2, -4, -14, 0, -2, 0, -4, -12, 2, 20, 0, -14, 0, -24, -8, -16, -4, 4, 14, 0, 0, 30, -4, 6, 2, 24, 0, 0, -11, 2, 12, -20, -8, 0, 4, 12, 18, 2, -12, -24, 0, 34, -9, -20, 0, -4, 2, 0, 12, 0, 6, 20, 12, 14, 0, 8, 1, -24, -20, 8, 0, 0, 12, 20, 2, -15, -18, 2, 0, -24, 20, 8, 0, -8, 4, 0, -8, -30, 0, -24, -12, -12, 0, 28, 4, 8, 12, -12, 2, 0, -2, 12, 12, 10, -8, 0, 0, 4, -6, 0, 1, -34, -4, 0, -1, 18, -24, 8, -6, -22, 0, 2, 0, -16, -16, 44, -12, 0, 0, 36, -2, 28, 2, 18, 0, -34, -4, -12, -2, 0, 8, 0, 12, -4, 24, -36, -4, -4, 0, 24, -10, 0, -24, 16, 2, 0, 0, 12, 4, 0, -8, -28, 0, -30, -1, -8, -10, -8, -6, 0, 4, 6, 30, 0, 0, 6, 0, 4, 6, -16, -10, 22, -2, 0, -24, 28, -10, 12, 0, -2, 0, -2, -4, 36, 4, -4, -8, 0, 1, 24, -10, 8, 10, 24, 0, 28, -16, 0, -4, 2, -4, 0, 36, 20, -12, -24, 18, 8, 0, -12, 0, -18, 4, 30, 0, 0, 1, -8, -16, -24, 24, -12, 0, 12, -4, 4, 6, 34, 2, 0, 16, 0, 2, -23, -4, -10, 0, 16, 0, 24, -12, 24, 6, 0, -8, 34, -16, -36, 0, -20, 0, 28, 22, 10, -1, 12, 0, 0, -14, 8, 14, 34, -4, -24, 0, 0, -10, 22, -24, -20, 2, 0, 4, 10, 8, 4, -2, 24, 0, 0, 1, 32, -17, -4, 12, 0, 24, -2, -12, -4, 26, 42, 0, -8, -20, -12, 2, -20, -4, 0, -14, -8, 0, 28, -2, -4, 0, -12, -4, 2, -12, -32, 2, 0, 20, 24, 0, -42, -14, -32, 0, 18, -24, 14, -8, 0, -16, 0, -4, -19, 4, 4, 14, 0, 0, -28, 0, -8, 30, 8, -4, 0, 6, 4, 2, 18, 24, 34, 0, 48, 0, 44, -11, -10, 2, 0, 12, 18, -20, 4, -8, -12, 0, -12, 4, -6, 12, 0, 18, 0, 2, 0, -12, -16, -24, 10, 0, 6, 34, 4, -9, -42, -20, 0, 0, -12, -4, 4, 2, 44, 0, 60, 12, 4, 0, -50, 6, 0, 20, 28, 12, 0, 14, -20, 0, -34, 8, 4, 1, -48, -24, 0, -20, -14, 8, 0, 0, 0, 0, -4, 12, -8, 20, 28, 2, 0, -15, -16, -18, -6, 2, -12, 0, 13, -24, 0, 20, -6, 8, 0, 0, -12, -8, -4, 4, -8, 0, 36, -8, -28, -30, 18, 0, 0, -24, 0, -12, 36, -12, -8, 0, -30, 28, 0, 4, -8, 8, 0, 12, 0, -12, 20, 2, 40, 0, -32, -2, -14, 12, 4, 12, 0, 10, -16, -8, 4, 0, -24, 0, 28, 4, -14, -6, 32, 0, 0, 1, -20, -34, -8, -4, -18, 0, 0, -1, 0, 18, -12, -24, 0, 8, 12, -6, 38, -22, 50, 0, -32, 2, 24, 0, 24, -16, 0, -16, 18, 44, -20, -12, -2, 0, 12, 0, -14, 36, -28, -2, 0, 28, -24, 2, 16, 18, 36, 0, 7, -34, -20, -4, -18, -12, 0, -2, 4, 0, 0, 8, -42, 0, 4, 12, -48, -4, 34, 24, 0, -36, -52, -4, 12, -4, -34, 0, 0, 24, 24, -10, 12, 0, 0, -24, -2, 16, 52, 2, -24, 0, -52, 0, -40, 12, -20, 4, 0, 0, -11, -8, -24, -28, 24, 0, 0, -30, -24, -1, 0, -8, 0, -10, -36, -8, 4, -6, -6, 0, -32, 4, 18, 6, 40, 30, 0, 0, -8, 0, -28, 6, -8, 0, -2, 4, -12, 6, 4, -16, 0, -10, -32, 22, 0, -2, 20, 0, 8, -24, 42, 28, 0, -10, 0, 12, 12, 0, 24, -2, 60, 0, 34, -2, 24, -4, 12, 36, 0, 4, -15, -4, 12, -8, -4, 0, -4, 1, 0, 24, 6, -10, 0, 8, 4, 10, -2, 24, 0, 0, -10, 28, -44, -16, -12, 0, 0, -4, 0, 2, -52, -4, 24, 0, -8, 36, -62, 20, -8, -12, 0, -24, 0, 18, -48, 8, -4, 0, 14, -12, 68, 0, 38, -18, 0, 4, -10, 30, -20, 0, -2, 0, -8, 1, 8, -8, 0, -16, 0, -24, -48, 24, 22, -12, 0, 0, 0, 12, 28, -4, 40, 4, 0, 6, 4, 34, 28, 2, -48, 0, -52, 16, 22, 0, -8, 2, 0, -23, -48, -4, -38, -10, -40, 0, 16, 16, 12, 0, 10, 24, 0, -12, 12, 24, -12, 6, 40, 0, -36, -8, 0, 34, -30, -16, 0, -36, -56, 0, 1, -20, -42, 0, -54, 28, -48, 22, 52, 10, 0, -1, 16, 12, -40, 0, 0, 0, 32, -14, 14, 8, -6, 14, 0, 34, -16, -4, -62, -24, -60, 0, -20, 0, 14, -10, -12, 22, 0, -24, -50, -20, -24, 2, -12, 0, -12, 4, 56, 10, 0, 8, 0, 4, 4, -2, 60, 24, -8, 0, -24, 0, -4, 1, 0, 32, 0, -17, 0, -4, 20, 12, -48, 0, 36, 24, -20, -2, 20, -12, 0, -4, 20, 26, 0, 42, 12, 0, 12, -8, 2, -20, -50, -12, 0, 2, 0, -20, 28, -4, -48, 0, -68, -14, 24, -8, -8, 0, 0, 28, -10, -2, 2, -4, 36, 0, -16, -12, 0, -4, 16, 2, 0, -12, -30, -32, -20, 2, 4, 0, 0, 20, 4, 24, -16, 0, 0, -42, -32, -14, -46, -32, 28, 0, 22, 18, -8, -24, 50, 14, 0, -8, 0, 0, -10, -16, 72, 0, 72, -4, -12, -19, 14, 4, 0, 4, 36, 14, 36, 0, 6, 0, -24, -28, -68, 0, 0, -8, 0, 30, 48, 8, 32, -4, -24, 0, 0, 6, 42, 4, 4, 2, 0, 18, 20, 24, -32, 34, -2, 0, 6, 48, -30, 0, -72, 44, 0, -11, 34, -10, -8, 2, -30, 0, -40, 12, 12, 18, -42, -20, 0, 4, 0, -8, 12, -12, 32, 0, 32, -12, -16, 4, 28, -6, 0, 12, 2, 0, 8, 18, 24, 0, 1, 2, -48, 0, 0, -12, 0, -16, 24, -24, -14, 10, 0, 0, 12, 6, -60, 34, 8, 4, 0, -9, -16, -42, -32, -20, 0, 0, -4, 0, -24, -12, -72, -4, 0, 4, -12, 2, -33, 44, 12, 0, 34, 60, -12, 12, 0, 4, 0, 0, 30, -50, 12, 6, -28, 0, -24, 20, 8, 28, -24, 12, 0, 0, -8, 14, 4, -20, -48, 0, 44, -34, 0, 8, -20, 4, 0, 1, -46, -48, 0, -24, 14, 0, 4, -20, 20, -14, 24, 8, 0, 0, -8, 0, -4, 0, 18, 0, -2, -4, 8, 12, 24, -8, 0, 20, 72, 28, 8, 2, 2, 0, -8, -15, -34, -16, 40, -18, 0, -6, -20, 2, 26, -12, 48, 0, 48, 13, 46, -24, 16, 0, 0, 20, 52, -6, 12, 8, 20, 0, 64, 0, 56, -12, 10, -8, 0, -4, 0, 4, -54, -8, -18, 0, -8, 36, 32, -8, -44, -28, 0, -30, 18, 18, 0, 0, 40, 0, 4, -24, 0, 0, -12, -12, 0, 36, 22, -12, 16, -8, 24, 0, 0, -30, -24, 28, -16, 0, 0, 4, -9, -8, 4, 8, -10, 0, 60, 12, 14, 0, -14, -12, 0, 20, -28, 2, -12, 40, -22, 0, 0, -32, 8, -2, -48, -14, 0, 12, -34, 4, -24, 12, 44, 0, -32, 10, 6, -16, -44, -8, 0, 4, 8, 0, 8, -24, -32, 0, 68, 28, -42, 4, -2, -14, 0, -6, 36, 32, 60, 0, 0, 0, -32, 1, 60, -20, -46, -34, 0, -8, 24, -4, 40, -18, 12, 0, 74, 0, 32, -1, 12, 0, 0, 18, 48, -12, 4, -24, -64, 0, 12, 8, 74, 12, 0, -6, 0, 38, -44, -22, -62, 50, 68, 0, 24, -32, -66, 2, -18, 24, 0, 0, 0, 24, -40, -16, 66, 0, -14, -16, 56, 18, 8, 44, 0, -20, -40, -12, 0, -2, -8, 0, 24, 12, 24, 0, 56, -14, 0, 36, -4, -28, 76, -2, 4, 0, 60, 28, 66, -24, 68, 2, 0, 16, 12, 18, -48, 36, 0, 0, 23, 7, 0, -34, 68, -20, 0, -4, 44, -18, 0, -12, -14, 0, -40, -2, -12, 4, -38, 0, 0, 0, -4, 8, -8, -42, 20, 0, 78, 4, -60, 12, 8, -48, 0, -4, 0, 34, 12, 24, -24, 0, -44, -36, 0, -52, 14, -4, 0, 12, 64, -4, -18, -34, 40, 0, -2, 0, -24, 24, -26, 24, 0, -10, 28, 12, 52, 0, -4, 0, 0, -24, 16, -2, 16, 16, 0, 52, 28, 2, 84, -24, -96, 0, -48, -52, -16, 0, 60, -40, 0, 12, -6, -20, -4, 4, 52, 0, -40, 0, -44, -11, 56, -8, 0, -24, -52, -28, -6, 24, -4, 0, 12, 0, 40, -30, 56, -24, 0, -1, 38, 0, -8, -8, -30, 0, -28, -10, 48, -36, 26, -8, 0, 4, 4, -6, 0, -6, 0, 0, -64, -32, 24, 4, 12, 18, 0, 6, 40, 40, 52, 30, 48, 0, 16, 0, -12, -8, -84, 0, 0, -28, 24, 6, -16, -8, -4, 0, 101, -2, 36, 4, 0, -12, 0, 6, 28, 4, -9, -16, -62, 0, 0, -10, -60, -32, -30, 22, 0, 0, -48, -2, 34, 20, -38, 0, -30, 8, -28, -24, 2, 42, 0, 28, -24, 0, 0, -10, -12, 0, -40, 12, -56, 12, 56, 0, 0, 24, -4, -2, -50, 60, 6, 0, 16, 34, 22, -2, 0, 24, 0, -4, -6, 12, -24, 36, -16, 0, -12, 4, 0, -15, 36, -4, 0, 12, 96, -8, 68, -4, 26, 0, 42, -4, 24, 1, 28, 0, 0, 24, 88, 6, -72, -10, 20, 0, -20, 8, -74, 4, 48, 10, 0, -2, 0, 24, -24, 0, 36, 0, -4, -10, 8, 28, 8, -44, 0, -16, 12, -12, 48, 0, -66, 0, 0, -4, -24, 0, -74, 2, 0, -52, -12, -4, -68, 24, -42, 0, 0, -8, -18, 36, 16, -62, 0, 20, -2, -8, -32, -12, 0, 0, -36, -24, 36, 0, -8, 18, 0, -48, -52, 8, 20, -4, 16, 0, -2, 14, 12, -12, -144, 68, 0, 0, 11, 38, -28, -18, 10, 0, -84, 4, 24, -10, 4, 30, 0, -20, -72, 0, -28, -2, -6, 0, -32, -8, 0, 1, 8, 8, 0, -8, 50, 0, 88, -16, 0, 0, 24, -24, 30, -48, 24, 24, 0, 22, 8, -12, 42, 0, -20, 0, -100, 0, -18, 12, 48, 28, 0, -4, -10, 40, 76, 4, 56, 0, -48, 6, -76, 4, 0, 34, 0, 28, 36, 2, -10, -48, -30, 0, 12, -52, -68, 16, -68, 22, 0, 0, 8, -8, -56, 2, -56, 0, -24, -23, -72, -48, -24, -4, 0, -38, -2, -10, 0, -40, -28, 0, -34, 16, -18, 16, 0, 12, 0, 0, -42, 10, 0, 24, 66, 0, -68, -12, -8, 12, -20, 24, 0, -12, -4, 6, 54, 40, -72, 0, 56, -36, 0, -8, -60, 0, 0, 34, -8, -30, -6, -16, -8, 0, 24, -36, 16, -56, -12, 0, 0, 1, 36, -20, -24, -42, -20, 0, 0, -54, 56, 28, -4, -48, 0, 22, 0, 52, 32, 10, 44, 0, -12, -1, -16, 16, -74, 12, 0, -40, 20, 0, 97, 0, -24, 0, -26, 32, 24, -14, -8, 14, 0, 8, -30, -6, -4, 14, 0, 0, 0, 34, 72, -16, 0, -4, 0, -62, -56, -24, 58, -60, 44, 0, -72, -20, -2, 0, -60, 14, 0, -10, -12, -12, -60, 22, 0, 0, -16, -24, 20, -50, 18, -20, 0, -24, 48, 2, -16, -12, 30, 0, -78, -12, -60, 4, 4, 56, 0, 10, 0, 0, -24, 8, -40, 0, -16, 4, 12, 4, -52, -2, 0, 60, 0, 24, -58, -8, 0, 0, 42, -24, 2, 0, 40, -4, 0, 1, 12, 0, 80, 32, 30, 0, 12, -17, -16, 0, 8, -4, 0, 20, -28, 12, -4, -48, 0, 0, 8, 36, -24, 24, 0, -20, 0, -2, -30, 20, 44, -12, -32, 0, -92, -4, -74, 20, 8, 26, 0, 0, 4, 42, -66, 12, -8, 0, 36, 12, 56, -8, 10, 2, 0, -20, -28, -50, 0, -12, 24, 0, 16, 2, 0, 0, 62, -20, 0, 28, -24, -4, -38, -48, -40, 0, -26, -68, 60, -14, -4, 24, 0, -8, -30, -8, -36, 0, -44, 0, 72, 28, 0, -10, 12, -2, 0, 2, 0, -4, -8, 36, 108, 0, -24, -16, -46, -12, 8, 0, 0, -4, 10, 16, 80, 2, 6, 0, -24, -12, -12, -30, 76, -32, 0, -20, 0, 2, 100, 4, 16, 0, -22, 0, -16, 20, 12, 4, 0, 24, 48, -16, -32, 0, 0, 0, 48, -42, -8, -32, 56, -14, 0, -46, -60, -32, 0, 28, 36, 0, 0, 22, 46, 18, -40, -8, 0, -24, -14, 50, -1, 14, 22, 0, -24, -8, 24, 0, -24, 0, 0, -10, -28, -16, 4, 72, 24, 0, -14, 72, 40, -4, -6, -12, 0, -19, -80, 14, -4, 4, -48, 0, 0, 4, 4, 36, 44, 14, 0, 36, 16, 0, 72, 6, 30, 0, 70, -24, 14, -28, 6, -68, 0, 0, -10, 0, 4, -8, 0, 0, -36, 30, -120, 48, 26, 8, 0, 32, -72, -4, 60, -24, 2, 0, -94, 0, 32, 6, 0, 42, 0, 4, 38, 4, -84, 2, 12, 0, -10, 18, -16, 20, 0, 24, 0, -32, -96, 34, -72, -2, 12, 0, 68, 6, 62, 48, 0, -30, 0, 0, -24, -72, 8, 44, -104, 0, 84, -11, -52, 34, 24, -10, 0, -8, 0, 2, -17, -30, 44, 0, 8, -40, 0, 12, -40, 12, 0, 18, 48, -42, 68, -20, 56, 0, -48, 4, 86, 0, 120, -8, 0, 12, 8, -12, -4, 32, -4, 0, 54, 32, 0, -12, 26, -16, 0, 4, 28, 28, -48, -6, -46, 0, -72, 12, -104, 2, -8, 0, 0, 8, -20, 18, -30, 24, -34, 0, -40, 1, 16, 2, 32, -48, 0, 0, 0, 0, 100, -12, -10, 0, -12, -16, 10, 24, -48, -24, 0, -14, -28, 10, 48, 0, 36, 0, 26, 12, 0, 6, -6, -60, 0, 34, -48, 8, 52, 4, -24, 0, 0, -9, 68, -16, -86, -42, 0, -32, 48, -20, 46, 0, -72, 0, -4, -4, 20, 0, 8, -24, 0, -12, 10, -72, 24, -4, 12, 0, 4, 4, -64, -12, 56, 2, 0, -33, 36, 44, -58, 12, 8, 0, 20, 34, 96, 60, 18, -12, 0, 12, 34, 0, 24, 4, -16, 0, 0, 0, 18, 30, -14, -50, 0, 12, -48, 6, -16, -28, 0, 0, 120, -24, -4, 20, 20, 8, 0, 28, 48, -24, 0, 12, 68, 0, 8, 0, 30, -8, 12, 14, 0, 4, -48, -20, -10, -48, -16, 0, -2, 44, 50, -34, 0, 0, 0, 8, -49, -20, 40, 4, 72, 0, 44, 1, 4, -46, -62, -48, 0, 0, 84, -24, 10, 14, -16, 0, 0, 4, -28, -20, -12, 20, 0, -14, 78, 24, 0, 8, 24, 0, -12, 0, 20, -8, 48, 0, 0, -4, 12, 0, 30, 18, 8, 0, 38, -2, 68, -4, 30, 8, 0, 12, 48, 24, -120, -8, -8, 0, 6, 20, 0, 72, 0, 28, 0, 8, -32, 2, -144, 2, -30, 0, 64, -8, -28, -15, -48, -34, 0, -16, 16, 40, -8, -18, 68, 0, 16, -6, -8, -20, 56, 2, 0, 26, 0, -12, -54, 48, -32, 0, 12, 48, -4, 13, -14, 46, 0, -24, 0, 16, 0, 0, 2, 0, 68, 20, -36, 52, -4, -6, 0, 12, 84, 8, 0, 20, -66, 0, 0, 64, 40, 0, -16, 56, 0, -12, -88, 10, 12, -8, 68, 0, -24, -4, 66, 0, 6, 4, 0, -54, 36, -8, -40, -18, 0, 0, -90, -8, -46, 36, -104, 32, 0, -8, -60, -44, 12, -28, -16, 0, 28, -30, -16, 18, -72, 18, 0, 0, -124, 0, 96, 40, 56, 0, -22, 4, 52, -24], "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": "1078.2.a.h", "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], [2], [1], [2], [2], [0], [1], [1], [2], [1], [2], [-2], [0], [4], [1], [0], [1], [2], [2], [0], [1], [0], [2], [-1], [-2], [-4], [0], [6], [4], [-4], [1], [2], [0], [0], [1], [2], [2], [-4], [2], [-8], [0], [12], [1], [2], [0], [-12], [2], [0], [-1], [0], [-2], [-2], [-4], [2], [0], [4], [6], [-10], [4], [10], [-4], [0], [1], [-4], [2], [-12], [0], [0], [0], [4], [1], [-12], [2], [-2], [2], [0], [-4], [0], [2], [-11], [-8], [18], [0], [0], [12], [12], [1], [0], [2], [0], [0], [-8], [-12], [4], [2], [12], [0], [1], [-1]]}