# Stored data for newform 6018.2.a.e, downloaded from the LMFDB on 19 April 2024. {"label": "6018.2.a.e", "space_label": "6018.2.a", "level": 6018, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543042434, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1206368274535967534, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [-2, 1]], [7, [1, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+2q^{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": 24072, "fricke_eigenval": 1, "atkin_lehner_string": "+--+", "analytic_conductor": 48.05397193640653, "hecke_ring_index": 1, "level_radical": 6018, "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": [6018, 1, [4013, 1771, 1123], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 17, 59], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.130", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.577", "prec": 17}], "related_objects": ["EllipticCurve/Q/6018/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [17, -1], [59, 1]], "trace_display": [-1, 1, 2, -1], "traces": [0, 1, -1, 1, 1, 2, -1, -1, -1, 1, -2, -2, 1, -2, 1, 2, 1, 1, -1, -7, 2, -1, 2, -5, -1, -1, 2, 1, -1, 4, -2, 10, -1, -2, -1, -2, 1, 8, 7, -2, -2, -3, 1, -6, -2, 2, 5, 4, 1, -6, 1, 1, -2, 9, -1, -4, 1, -7, -4, -1, 2, -2, -10, -1, 1, -4, 2, -10, 1, -5, 2, -6, -1, 7, -8, -1, -7, 2, 2, 0, 2, 1, 3, -9, -1, 2, 6, 4, 2, -11, -2, 2, -5, 10, -4, -14, -1, -5, 6, -2, -1, -6, -1, -1, 2, -2, -9, 3, 1, -4, 4, 8, -1, -14, 7, -10, 4, -2, 1, -1, -2, -7, 2, -3, 10, -12, 1, -4, -1, -6, 4, -10, -2, 7, 10, 2, -1, 0, 5, -20, -2, 4, 6, 4, 1, 8, -7, -6, 8, 12, 1, 17, 7, 1, -2, 20, -2, 23, 0, 9, -2, 5, -1, -20, -3, -4, 9, -24, 1, -9, -2, -7, -6, 2, -4, 1, -2, -1, 11, -19, 2, -6, -2, -2, 5, 16, -10, -2, 4, -1, 14, 6, 1, 0, 5, -4, -6, -22, 2, -5, 1, -10, 6, -4, 1, -6, 1, -5, -2, 14, 2, -8, 9, -6, -3, -12, -1, -10, 4, 7, -4, -2, -8, -4, 1, -1, 14, -12, -7, 1, 10, 2, -4, -6, 2, 8, -1, 0, 1, -4, 2, 4, 7, 1, -2, -12, 3, 14, -10, -9, 12, 6, -1, 10, 4, 2, 1, -18, 6, -8, -4, 4, 10, -9, 2, 18, -7, -11, -10, -3, -2, 32, 1, 2, 0, 2, -5, -9, 20, 10, 2, 6, -4, 11, -6, -14, -4, 3, -1, 1, -8, -5, 7, 6, 6, -2, -8, -2, -12, 10, -1, 6, -17, -6, -7, -4, -1, -5, 2, -1, -20, 30, 2, 26, -23, -2, 0, -24, -9, -8, 2, 3, -5, -7, 1, 2, 20, -4, 3, -4, 4, 21, -9, 8, 24, -20, -1, 25, 9, -14, 2, -20, 7, 13, 6, -10, -2, 12, 4, 27, -1, -2, 2, -9, 1, -12, -11, -1, 19, -21, -2, 30, 6, -7, 2, 14, 2, -20, -5, -3, -16, -9, 10, 36, 2, -12, -4, -8, 1, 30, -14, -4, -6, 1, -1, 4, 0, -6, -5, 30, 4, -5, 6, -10, 22, 0, -2, -2, 5, 7, -1, -22, 10, -20, -6, 2, 4, -16, -1, 18, 6, 0, -1, 1, 5, -18, 2, -20, -14, 18, -2, 17, 8, 4, -9, -1, 6, 2, 3, 4, 12, -39, 1, -39, 10, 8, -4, 35, -7, -32, 4, -6, 2, 33, 8, -22, 4, 12, -1, 15, 1, 6, -14, 17, 12, 4, 7, 10, -1, 1, -10, -1, -2, -8, 4, 20, 6, 24, -2, 10, -8, 23, 1, 12, 0, 7, -1, 9, 4, -42, -2, -16, -4, 5, -7, -10, -1, 1, 2, -20, 12, -2, -3, 4, -14, -4, 10, 6, 9, 34, -12, -24, -6, 21, 1, -12, -10, -9, -4, 38, -2, -7, -1, -7, 18, -2, -6, -8, 8, 2, 4, -39, -4, -36, -10, 1, 9, 10, -2, 2, -18, -1, 7, 6, 11, 6, 10, -19, 3, 12, 2, -20, -32, -6, -1, -8, -2, -42, 0, -2, -2, -28, 5, 0, 9, 16, -20, -30, -10, 12, -2, -2, -6, -29, 4, -28, -11, -1, 6, -15, 14, -13, 4, 6, -3, 5, 1, 22, -1, 0, 8, 9, 5, -18, -7, -4, -6, -35, -6, -70, 2, -22, 8, -20, 2, -2, 12, -5, -10, 13, 1, 15, -6, -10, 17, -14, 6, 17, 7, -4, 4, -8, 1, -11, 5, -6, -2, 21, 1, -8, 20, -5, -30, 11, -2, -19, -26, 14, 23, 8, 2, 24, 0, -8, 24, -8, 9, 12, 8, -6, -2, 17, -3, 34, 5, -12, 7, 27, -1, 2, -2, -10, -20, 26, 4, -20, -3, 7, 4, -9, -4, -4, -21, -2, 9, 14, -8, -20, -24, -4, 20, 4, 1, 15, -25, -1, -9, -12, 14, 5, -2, -12, 20, -12, -7, 0, -13, 1, -6, -18, 10, 49, 2, 2, -12, -40, -4, -3, -27, -6, 1, 4, 2, -56, -2, 8, 9, 6, -1, -2, 12, 0, 11, -50, 1, 8, -19, -4, 21, -32, 2, 1, -30, 4, -6, -4, 7, 28, -2, 1, -14, -6, -2, -24, 20, -12, 5, 20, 3, 20, 16, 14, 9, 16, -10, 24, -36, -9, -2, -3, 12, 50, 4, 6, 8, 34, -1, 2, -30, 10, 14, -30, 4, 4, 6, 2, -1, 2, 1, -14, -4, -18, 0, 14, 6, -10, 5, -8, -30, 21, -4, 12, 5, 4, -6, 46, 10, -28, -22, -9, 0, 14, 2, 4, 2, 18, -5, -12, -7, 4, 1, -11, 22, -14, -10, 10, 20, -3, 6, -14, -2, 7, -4, 32, 16, -40, 1, 42, -18, 2, -6, 11, 0, 38, 1, 2, -1, -15, -5, 6, 18, -9, -2, -6, 20, -48, 14, 10, -18, -8, 2, -13, -17, 6, -8, -18, -4, 7, 9, 11, 1, -40, -6, -6, -2, -14, -3, 50, -4, 22, -12, 3, 39, -28, -1, 4, 39, 1, -10, 0, -8, 20, 4, -5, -35, 12, 7, 31, 32, 6, -4, -36, 6, -41, -2, -2, -33, -11, -8, 4, 22, -2, -4, -28, -12, -38, 1, 10, -15, 40, -1, 9, -6, 6, 14, -12, -17, 28, -12, -6, -4, 36, -7, 18, -10, -4, 1, 10, -1, -32, 10, -5, 1, 12, 2, -8, 8, -1, -4, 6, -20, 42, -6, 30, -24, -4, 2, 32, -10, 26, 8, -7, -23, 15, -1, -2, -12, -7, 0, -14, -7, -24, 1, 10, -9, 12, -4, -8, 42, 0, 2, 69, 16, 3, 4, 0, -5, -1, 7, -7, 10, 18, 1, 20, -1, 2, -2, -42, 20, 22, -12, -4, 2, 35, 3, -44, -4, -4, 14, 30, 4, -56, -10, 21, -6, -10, -9, 61, -34, 8, 12, -4, 24, -1, 6, -20, -21, -63, -1, 22, 12, 25, 10, -2, 9, -8, 4, -14, -38, 14, 2, 61, 7, -20, 1, 3, 7, 0, -18, 13, 2, -60, 6, -20, 8, -10, -8, -2, -2, -14, -4, 12, 39, -12, 4, 28, 36, 27, 10, 27, -1, 4, -9, -2, -10, -16, 2, -17, -2, -9, 18, 19, 1, -56, -7, -12, -6, 10, -11, 0, -6, -1, -10, 32, 19, 6, -3, -21, -12, 18, -2, -20, 20, 30, 32, -20, 6, -10, 1, -7, 8, -3, 2, -58, 42, 14, 0, 6, 2, -23, 2, -20, 28, -23, -5, -4, 0, -3, -9, -44, -16, 12, 20, -9, 30, -8, 10, -54, -12, 36, 2, 7, 2, -18, 6, -12, 29, 30, -4, 3, 28, -8, 11, 2, 1, -24, -6, 30, 15, -10, -14, 20, 13, -4, -4, 2, -6, 80, 3, 1, -5, 53, -1, -14, -22, 4, 1, 22, 0, 14, -8, -6, -9, -20, -5, -12, 18, 30, 7, 24, 4, -20, 6, -5, 35, -4, 6, -6, 70, -10, -2, -27, 22, 9, -8, 0, 20, 32, -2, -12, 2, -2, -12, -24, 5, -8, 10, 7, -13, 8, -1, 4, -15, -22, 6, 8, 10, -6, -17, -20, 14, -2, -6, -14, -17, 2, -7, -12, 4, -45, -4, -16, 8, -44, -1, 6, 11, 18, -5, 18, 6, 64, 2, 0, -21, 28, -1, 0, 8, 1, -20, 7, 5, 28, 30, -18, -11, -24, 2, -50, 19, -20, 26, 19, -14, 12, -23, 18, -8, -40, -2, 10, -24, 17, 0, 20, 8, 6, -24, 4, 8, -30, -9, 70, -12, -1, -8, 60, 6, -32, 2, 2, -17, 15, 3, -36, -34, 4, -5, 46, 12, 36, -7, -39, -27, -16, 1, 50, -2, -39, 2, -19, 10, -53, 20, 8, -26, 46, -4, 2, 20, 35, 3, 12, -7, -18, -4, -32, 9, -20, 4, 19, 4, -6, 21, -9, 2, 52, -9, 33, -14, 36, 8, -60, 20, -22, 24, -6, 4, 2, -20, 12, -4, 0, -1, -6, -15, 15, 25, 42, 1, 0, 9, 6, 12, 64, -14, 5, -5, 17, 2, 0, 12, 16, -20, 4, 12, 64, 7, 27, 0, 10, 13, 1, -1, 24, 6, 1, 18, 22, -10, -5, -49, -1, -2, -18, -2, -49, 12, -8, 40, -6, 4, 5, 3, 20, 27, 8, 6, 36, -1, 24, -4, 10, -2, 12, 56, 10, 2, 73, -8, -9, -9, 23, -6, 22, 1, 8, 2, 12, -12, -24, 0, -64, -11, 7, 50, -27, -1, -1, -8, 9, 19, -14, 4, 6, -21, -42, 32, 9, -2, 20, -1, -16, 30, 2, -4, 47, 6, 5, 4, 35, -7, -39, -28, -10, 2, 40, -1, 7, 14, 1, 6, -14, 2, 12, 24, -20, -20, 28, 12, 35, -5, -2, -20, 1, -3, 8, -20, 4, -16, 65, -14, 68, -9, -4, -16, -25, 10, -34, -24, 6, 36, -19, 9, 20, 2, 34, 3, -30, -12, 0, -50, -24, -4, 12, -6, 0, -8, 21, -34, -15, 1, -11, -2, -12, 30, -24, -10, -60, -14, -9, 30, -39, -4, 2, -4, 38, -6, 40, -2, -40, 1, -7, -2, -10, -1, 36, 14, -7, 4, 50, 18, 42, 0, -2, -14, 2, -6, -22, 10, -8, -5, 51, 8, 60, 30, 2, -21, 6, 4, 4, -12, -39, -5, 52, -4, 20, 6, -36, -46, 56, -10, 14, 28, 1, 22, 63, 9, 5, 0, 10, -14, 39, -2, -48, -4, 2, -2, 12, -18, -48, 5, -1, 12, -16, 7, -8, -4, 6, -1, 8, 11, -1, -22, 6, 14, 72, 10, 0, -10, -19, -20, 25, 3, -14, -6, 12, 14, -24, 2, 71, -7, -20, 4, 24, -32, 28, -16, -6, 40, 6, -1, 30, -42, -8, 18, -31, -2, -24, 6, -42, -11, 90, 0, -8, -38, -2, -1, -5, -2, 8, 1, -28, 15, 42, 5, -27, -6, 0, -18, -34, 9, -64, 2, 16, 6, -24, -20, 73, 48, -30, -14, 4, -10, 10, 18, 12, 8, -35, -2, -32, 13, -2, 17, 50, -6, -4, 8, -29, 18, 77, 4, -1, -7, -28, -9, -65, -11, 36, -1, -1, 40, 20, 6, -40, 6, -15, 2, 46, 14, -4, 3, -13, -50, 26, 4, -6, -22, 6, 12, -27, -3, -54, -39, 5, 28, -46, 1, -14, -4, 22, -39, -1, -1, 24, 10, 0, 0, 32, 8, 16, -20, 9, -4, 54, 5, -20, 35, -18, -12, -1, -7, 32, -31, -4, -32, -6, -6, -4, 4, -35, 36, 18, -6, -18, 41, -70, 2, -8, 2, -10, 33, -22, 11, 6, 8, -37, -4, -20, -22, 0, 2, 16, 4, -2, 28, 10, 12, 74, 38, -5, -1, 40, -10, -42, 15, 13, -40, 18, 1, -20, -9, 15, 6, 60, -6, 40, -14, -10, 12, -52, 17, -48, -28, -14, 12, 0, 6, 3, 4, 17, -36, -55, 7, -7, -18, -4, 10, -10, 4, 32, -1, -8, -10, -40, 1, 48, 32, -11, -10, 9, 5, 35, -1, -6, -12, 52, -2, -7, 8, 21, -8, -4, 1, -18, 4, -8, -6, 18, 20, -42, -42, -5, 6, 72, -30, -44, 24, 11, 4, -8, -2, 1, -32, -19, 10, 36, -26, 51, -8, 14, 7, 3, 23, -16, -15, 8, 1, 28, 2, -20, 12, 24, 7, 60, 0, -32, 14, -8, 7, 54, 24, -4, -1, -8, -10, -57, 9, 45, -12, 12, 4, -28, 8, 2, -42, -6, 0, 42, -2, -14, -69, 17, -16, -2, -3, -12, -4, 34, 0, 20, 5, -58, 1, -12, -7, -24, 7, 9, -10, 27, -18, -40, -1, 60, -20, 2, 1, -45, -2, -50, 2, -10, 42, -10, -20, 7, -22, 26, 12, 72, 4, -34, -2, -20, -35, -6, -3, 38, 44, 7, 4, -53, 4, 0, -14, -9, -30, 40, -4, -11, 56, -4, 10, -4, -21, -12, 6, -2, 10, 12, 9, -7, -61, 14, 34, -48, -8, 46, -12, -20, 4, -76, -24, -44, 1, -4, -6, 18, 20, 12, 21, 4, 63, -40, 1, 2, -22, 15, -12, -24, -25, -1, -10, -1, 2, 18, -9, 10, 8, -12, -4, -21, 14, -32, 38, 5, -14, 24, -2, -46, -61, -12, -7, 36, 20, 55, -1, -12, -3, -6, -7, -25, 0, 0, 18, -7, -13, -24, -2, 1, 60, 14, -6, 2, 20, -18, -8, -2, 10, 28, 8, 49, 2, 9, 2, -100, 14, 2, 4, -30, -12, -14, -39, -40, 12, -28, -4, -46, -28, -3, -36, -10, -27, 36, -10, -6, -27, -11, 1, -12, -4, 4, 9, 34, 2, 36, 10, -56, 16, -68, -2, 62, 17, 8, 2, 28, 9, 40, -18, 6, -19, 0, -1, -12, 56, -2, 7, -68, 12, -84, 6, 0, -10, 4, 11, 50, 0, -50, 6, 35, 1, 16, 10, 8, -32, 98, -19, 5, -6, -4, 3, -6, 21, -78, 12, -32, -18, -4, 2, -28, 20, 1, -20, -78, -30, 44, -32, 4, 20, 48, -6, -27, 10, -4, -1, -30, 7, -32, -8, 28, 3, -8, -2, 70, 58, 1, -42, 10, -14, -26, 0, -6, -6, -64, -2, 44, 23, -24, -2, -60, 20, -56, -28, -12, 23, 32, 5, -31, 4, 20, 0, -29, 3, 66, 9, 20, 44, 24, 16, 18, -12, 14, -20, 11, 9, -10, -30, 16, 8, 25, -10, 8, 54, 24, 12, -82, -36, -40, -2, -9, -7, 28, -2, 30, 18, -3, -6, -4, 12, -44, -29, 50, -30, 12, 4, -16, -3, 6, -28, 7, 8, 70, -11, 34, -2, -79, -1, -90, 24, 2, 6, -18, -30, -2, -15, 10, 10, -54, 14, -71, -20, -30, -13, 20, 4, -62, 4, 4, -2, 0, 6, 32, -80, 2, -3, 21, -1, 49, 5, 2, -53, -24, 1, -2, 14, -14, 22, 37, -4, -72, -1, -18, -22, -16, 0, -21, -14, 14, 8, 16, 6, 30, 9, -10, 20, 38, 5, 0, 12, -8, -18, 26, -30, 48, -7, 21, -24, -78, -4, 14, 20, 12, -6, 20, 5, 44, -35, 4, 4, 93, -6, 12, 6, 46, -70, 61, 10, -25, 2, -28, 27, -20, -22, 24, -9, -9, 8, 5, 0, 62, -20, 14, -32, 84, 2, -52, 12, 4, -2, 86, 2, -4, 12, 18, 24, 20, -5, 34, 8, -12, -10, -42, -7, -84, 13, 4, -8, -18, 1, 29, -4, -11, 15, -32, 22, -36, -6, -14, -8, 60, -10, 28, 6, 10, 17, -75, 20, 3, -14, -3, 2, -96, 6, 5, 14, -14, 17, -12, -2, 4, 7, 7, 12, 2, -4, -26, 45, 32, 4, -57, 16, -27, -8, -40, 44, 87, 1, 0, -6, 42, -11, 8, -18, -4, 5, 2, -18, 10, -6, -15, -64, 11, -2, 8, 0, -47, 21, 38, -28, 9, 1, 64, 0, 2, -8, -3, -1, -80, 20, -15, -7, -12, -5, 12, -28, 6, -30, 70, 18, 36, 11, -9, 24, 68, -2, 24, 50, -6, -19, 6, 20, 16, -26, -48, -19, 20, 14, 0, -12, 10, 23, 21, -18, 42, 8, -8, 40, -2, 2, 11, -10, -13, 24, 6, -17, -30, 0, 6, -20, -58, -8, 12, -6, -18, 24, 6, -4, 28, -8, 7, 30, 67, 9, 76, -70, 11, 12, 35, 1, -15, 8, -40, -60, -14, -6, 47, 32, -6, -2, 44, -2, 12, 17, -14, -15, 17, -3, 20, 36, 50, 34, -90, -4, 1, 5, 22, -46, -46, -12, -44, -36, 3, 7, -16, 39, 10, 27, -28, 16, 0, -1, -6, -50, 4, 2, -54, 39, 70, -2, 1, 19, 0, -10, -78, 53, 0, -20, 34, -8, -36, 26, 20, -46, -72, 4, -26, -2, -5, -20, -38, -35, 12, -3, 12, -12, -48, 7, 8, 18, 31, 4, 61, 32, 20, -9, 6, 20, 8, -4, 140, -19, -36, -4, 4, 6, -31, -21, -41, 9, -8, -2, -30, -52, -2, 9, -6, -33, 68, 14, -11, -36, 72, -8, 12, 60, 4, -20, 23, 22, -80, -24, -2, 6, -3, -4, -52, -2, -28, 20, -1, -12, -88, 4, -38, 0, 60, 1, -53, 6, 10, 15, 37, -15, 24, -25, 40, -42, -53, -1, 56, 0, 9, -9, -40, -6, -8, -12, 6, -64, 82, 14, 13, -5, -12, 5, -28, -17, 74, -2, 28, 0, -30, -12, 4, -16, -6, 20, -42, -4, -48, -12, 36, -64, -84, -7, 5, -27, 18, 0, 29, -10, 16, -13, -4, -1, 30, 1, 13, -24, 10, -6, -75, -1, -56, -18, -32, -22, -110, 10, -12, 5, -5, 49, 0, 1, 28, 2, 12, 18, -20, 2, -4, 49, -8, -12, 69, 8, 2, -40, -1, 6, 35, -4, -60, -5, 6, -3, -3, -20, 0, -27, 42, -8, 24, -6, -19, -36, 30, 1, 44, -24, 48, 4, -4, -10, 22, 2, 28, -12, 32, -56, -20, -10, -58, -2, 26, -73, -97, 8, 20, 9, -7, 9, 14, -23, 36, 6, 15, -22, -84, -1, 86, -8, -2, -2, 74, -12, -24, 12, -7, 24, -15, 0, -30, 64, -14, 11, 16, -7, 10, -50, -24, 27, -26, 1, -79, 1, 10, 8, 78, -9, -18, -19, 12, 14, -8, -4, -119, -6, -8, 21, -9, 42, 60, -32, 0, -9, 0, 2, 60, -20, 69, 1, 44, 16, -98, -30, 3, -2, 6, 4, 18, -47, 0, -6, 14, -5, 8, -4, -1, -35, -96, 7, 18, 39, -7, 28, 72, 10, 18, -2, 18, -40, -36, 1, -103, -7, 20, -14, 20, -1, 0, -6, 2, 14, 18, -2, -24, -12, -42, -24, -18, 20, -70, 20, 22, -28, 12, -12, 2, -35, -4, 5, -140, 2, -17, 20, 35, -1, 24, 3, -86, -8, -44, 20, -43, -4, 6, 16, -4, -65, -100, 14, -40, -68, 30, 9, 43, 4, -60, 16, -56, 25, 1, -10, -2, 34, 21, 24, -64, -6, -161, -36, -10, 19, -4, -9, 12, -20, 61, -2, -21, -34, 26, -3, 8, 30, -24, 12], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6018.2.a.e", "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], [2], [-1], [-1], [-1], [1], [-2], [-2], [1], [-2], [1], [2], [1], [1], [-1], [-7], [2], [-1], [2], [-5], [-1], [-1], [2], [1], [-1], [4], [-2], [10], [-1], [-2], [-1], [-2], [1], [8], [7], [-2], [-2], [-3], [1], [-6], [-2], [2], [5], [4], [1], [-6], [1], [1], [-2], [9], [-1], [-4], [1], [-7], [-4], [-1], [2], [-2], [-10], [-1], [1], [-4], [2], [-10], [1], [-5], [2], [-6], [-1], [7], [-8], [-1], [-7], [2], [2], [0], [2], [1], [3], [-9], [-1], [2], [6], [4], [2], [-11], [-2], [2], [-5], [10], [-4], [-14], [-1], [-5], [6], [-2], [-1]]}