# Stored data for newform 8450.2.a.c, downloaded from the LMFDB on 24 April 2024. {"label": "8450.2.a.c", "space_label": "8450.2.a", "level": 8450, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288303874, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 409588078620829567, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]], [7, [1, 1]], [11, [6, 1]], [17, [-3, 1]], [31, [-4, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 33800, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 67.47358970798193, "hecke_ring_index": 1, "level_radical": 130, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [8450, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 13], "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": "0.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.939", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.756", "prec": 17}], "related_objects": ["EllipticCurve/Q/8450/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [13, 1]], "trace_display": [-1, -1, 0, -1], "traces": [0, 1, -1, -1, 1, 0, 1, -1, -1, -2, 0, -6, -1, 0, 1, 0, 1, 3, 2, -2, 0, 1, 6, 0, 1, 0, 0, 5, -1, 6, 0, 4, -1, 6, -3, 0, -2, -7, 2, 0, 0, 0, -1, 1, -6, 0, 0, 3, -1, -6, 0, -3, 0, 0, -5, 0, 1, 2, -6, 6, 0, 8, -4, 2, 1, 0, -6, 14, 3, 0, 0, 3, 2, 2, 7, 0, -2, 6, 0, 8, 0, 1, 0, 12, 1, 0, -1, -6, 6, 6, 0, 0, 0, -4, -3, 0, 1, -10, 6, 12, 0, -12, 3, 4, 0, 0, 0, -12, 5, 7, 0, 7, -1, 6, -2, 0, 6, 0, -6, -3, 0, 25, -8, 0, 4, 0, -2, -20, -1, -1, 0, -21, 6, 2, -14, 0, -3, 0, 0, -13, 0, -3, -3, 0, -2, 0, -2, 6, -7, 6, 0, -17, 2, -6, -6, 0, 0, -14, -8, 0, 0, 0, -1, -16, 0, 0, -12, 0, -1, 0, 0, 4, 1, 0, 6, 0, -6, -6, -6, 3, 0, 20, 0, -8, 0, 0, 4, -18, 3, -5, 0, -18, -1, -4, 10, 0, -6, 3, -12, 2, 0, -14, 12, -6, -3, 0, -4, 0, 0, 12, 0, -13, 0, -3, 12, 0, -5, -4, -7, -2, 0, 0, -7, -19, 1, 0, -6, 0, 2, 13, 0, -6, -6, 27, 0, 0, 6, -8, 3, -15, 0, 10, -25, -16, 8, 0, 0, 0, -4, -12, 0, 24, 2, 0, 20, 0, 1, -9, 1, 7, 0, -12, 21, 12, -6, 0, -2, -6, 14, 24, 0, -11, 3, 0, 0, 0, 0, 28, 13, -8, 0, 6, 3, 4, 3, 0, 0, 0, 2, -8, 0, 10, 2, 21, -6, 0, 7, -30, -6, 0, 0, -1, 17, 12, -2, 0, 6, 2, 6, -4, 0, -30, 0, 1, 14, 0, 8, -6, 0, -36, 0, 12, 0, -6, 1, 0, 16, -7, 0, -3, 0, -8, 12, 14, 0, 0, 1, -23, 0, -6, 0, -24, -4, 13, -1, 0, 0, -3, -6, 19, 0, 0, 6, 24, 6, 0, 6, 3, -3, 0, 0, -15, -20, -25, 0, 0, 8, -26, 0, 0, 0, 0, -4, 4, 18, 0, -3, 0, 5, -20, 0, 20, 18, 21, 1, 0, 4, -2, -10, -6, 0, 0, 6, 21, -3, 0, 12, -34, -2, -2, 0, -36, 14, 0, -12, 0, 6, 42, 3, -32, 0, 0, 4, -6, 0, 0, 0, 13, -12, 9, 0, -17, 13, -6, 0, 0, 3, -8, -12, 0, 0, 33, 5, 25, 4, 0, 7, 0, 2, 26, 0, 12, 0, -21, 7, 0, 19, -6, -1, -6, 0, 0, 6, 17, 0, 0, -2, -10, -13, 15, 0, -9, 6, -40, 6, 0, -27, -36, 0, -14, 0, 14, -6, -6, 8, 0, -3, 0, 15, 21, 0, 0, -10, 0, 25, 0, 16, -16, -8, 16, 0, -9, 0, 18, 0, 0, 4, -3, 12, 40, 0, 0, -24, 30, -2, 0, 0, 0, -20, 18, 0, -2, -1, -10, 9, 0, -1, -18, -7, 0, 0, -9, 12, -20, -21, 0, -12, 12, 6, -23, 0, -12, 2, 0, 6, 0, -14, -3, -24, 36, 0, -11, 11, -20, -3, 0, 0, -17, 0, -16, 0, -12, 0, -8, -28, 0, -13, 3, 8, 0, 0, 18, -6, -39, -3, 0, -4, -1, -3, 15, 0, 5, 0, 18, 0, 0, -2, 38, 8, 4, 0, -12, -10, 0, -2, 0, -21, 24, 6, -8, 0, -3, -7, 18, 30, 0, 6, -2, 0, 6, 0, -19, 1, -28, -17, 0, -12, -14, 2, 6, 0, 0, -6, 38, -2, 0, -6, -24, 4, 28, 0, 0, 30, -6, 0, 0, -1, -12, -14, -21, 0, -29, -8, 13, 6, 0, 0, 0, 36, -6, 0, -18, -12, 14, 0, 0, 6, 6, -1, -36, 0, 4, -16, 0, 7, 0, 0, -4, 3, -36, 0, 22, 8, 0, -12, 0, -14, 0, 0, 19, 0, -48, -1, 19, 23, 0, 0, -48, 6, 10, 0, 0, 24, 24, 4, 0, -13, -13, 1, 0, 0, -8, 0, -12, 3, 0, 6, 0, -19, -27, 0, 0, 0, 14, -6, 0, -24, 12, -6, -26, 0, -16, -6, 0, -3, 0, 3, 15, 0, 6, 0, -4, 15, -10, 20, 0, 25, 10, 0, 13, 0, 3, -8, 23, 26, 0, 0, -84, 0, -20, 0, 0, 0, -9, 4, 0, -4, -24, -18, 12, 0, -40, 3, -24, 0, 0, -5, 16, 20, 0, 0, 6, -20, -7, -18, 0, -21, 0, -1, -32, 0, 9, -4, -39, 2, 0, 10, -7, 6, 0, 0, -18, 0, 30, -6, 0, -21, -40, 3, -12, 0, -6, -12, 0, 34, 0, 2, 42, 2, 9, 0, -12, 36, -12, -14, 0, 0, -24, 12, -33, 0, -20, -6, 11, -42, 0, -3, -2, 32, 0, 0, 3, 0, -14, -4, 0, 6, 18, 0, 38, 0, -28, 0, -18, -13, 0, 12, 20, -9, 0, 0, 7, 17, -6, -13, 0, 6, -25, 0, -4, 0, 0, -3, -37, 8, 0, 12, 42, 0, -4, 0, 0, -33, -45, -5, 0, -25, 8, -4, -48, 0, 0, -7, 20, 0, 0, -2, -13, -26, -21, 0, 21, -12, -29, 0, 0, 21, 0, -7, 20, 0, -6, -19, -6, 6, 0, 1, 0, 6, 24, 0, 0, 0, 1, -6, 0, -17, 37, 0, 24, 0, 30, 2, -72, 10, 0, 13, 21, -15, -16, 0, -2, 9, 0, -6, 0, 40, -8, -6, -36, 0, 12, 27, 30, 36, 0, 0, 34, 14, -1, 0, 21, -14, 0, 6, 0, 6, 6, -8, 0, 0, 6, 3, -15, 0, 0, -15, 36, -21, 0, 0, -15, 0, 24, 10, 0, 0, -31, -25, 6, 0, -3, -16, 13, 16, 0, 8, -54, -16, -36, 0, -14, 9, 39, 0, 0, -18, 3, 0, 0, 0, 2, -4, 8, 3, 0, -12, 46, -40, -35, 0, 0, 0, 18, 24, 0, -30, 0, 2, -38, 0, 23, 0, -6, 0, 0, 20, -12, -18, -30, 0, -23, 2, 24, 1, 0, 10, 0, -9, -13, 0, -24, 1, 8, 18, 0, 7, 24, 0, 14, 0, 3, 9, -6, -12, 0, 20, -19, 21, -33, 0, -44, 12, 0, -12, 0, -6, 17, 23, -24, 0, 54, 12, -20, -2, 0, 0, 60, -6, 8, 0, 6, 14, -42, 3, 0, 24, 0, -36, 0, 0, 0, 11, 15, -11, 0, 20, 8, 3, -50, 0, 12, 0, 22, 17, 0, 0, -18, 16, 14, 0, 26, 12, -36, 0, 0, 8, 0, 28, 54, 0, 72, 13, 0, -3, 0, -8, -38, 0, -4, 0, -12, -18, -10, 6, 0, 39, 0, 3, 4, 0, 0, 4, -24, 1, 0, 3, 20, -15, 42, 0, 16, -5, 40, 0, 0, -18, -28, 0, -21, 0, -24, 2, -29, -38, 0, -8, 0, -4, -16, 0, 5, 12, 36, 10, 0, 0, 6, 2, 0, 0, 65, 21, 0, -24, 0, -6, 72, 8, 42, 0, 30, 3, 0, 7, 0, -18, 3, -30, 0, 0, 34, -6, 54, 2, 0, 0, -4, -6, -42, 0, 40, 19, 36, -1, 0, 28, 9, 17, 0, 0, 0, 12, -44, 14, 0, -2, 48, -6, 0, 0, -42, 0, 54, 6, 0, -38, 32, 2, -21, 0, 8, 6, 0, 24, 0, -4, -13, -28, 6, 0, 6, 0, -36, -30, 0, 6, 6, 0, 17, 0, 26, 1, -3, 12, 0, 14, -9, 21, 24, 0, 0, 29, 17, 8, 0, -13, -20, -6, 15, 0, 0, 0, -28, 0, 0, -36, 6, 6, 7, 0, 8, 18, -12, 12, 0, -14, 0, 0, -42, 0, -31, -6, -33, -6, 0, 1, -38, 36, -25, 0, 6, -4, 64, 16, 0, 0, -18, -7, 18, 0, 0, 0, 0, 4, 0, -3, -26, 36, -57, 0, 28, -22, -30, -8, 0, 0, 4, 12, 21, 0, -84, 14, 4, 0, 0, 0, 18, -19, 0, 0, -12, 48, 24, 1, 0, -19, 6, -23, -6, 0, 4, 0, 0, 48, 0, -6, 0, -10, 34, 0, -27, 0, 18, -24, 0, -24, 12, -4, 12, 0, 10, 13, -21, 13, 0, -1, 3, 0, -3, 0, -4, 8, 9, 0, 0, 12, -4, -3, 40, 0, 0, -6, -2, 0, 0, 19, 120, 27, -41, 0, 36, 0, 0, 0, 0, -14, 14, 6, -60, 0, 36, 24, 28, -12, 0, 6, 0, 26, 6, 0, -36, 16, -7, 6, 0, 0, -9, 3, -46, 0, 0, -3, -15, -15, 0, 0, -21, -6, -12, 0, 126, 4, 0, -15, 0, 10, -62, -20, 0, 0, -30, -25, 58, -10, 0, 0, 12, -13, -52, 0, 16, -3, -12, 8, 0, -23, 32, -26, 0, 0, -32, 0, 9, 84, 0, 0, 13, 20, -18, 0, 51, 0, -53, 0, 0, 9, -33, -4, 22, 0, 3, 4, -33, 24, 0, 18, -40, -12, 48, 0, -16, 40, 0, -3, 0, 24, 0, 0, -30, 0, 30, 5, 18, -16, 0, -20, 0, 0, -24, 0, 0, -6, -66, 20, 0, 7, -18, 18, 78, 0, -25, 21, 2, 0, 0, 1, 0, 32, -2, 0, 0, -9, -32, 4, 0, 39, 0, -2, 61, 0, 18, -10, -42, 7, 0, -6, 0, 0, 12, 0, 19, 18, 9, 0, 0, -30, -43, 6, 20, 0, 36, 21, 0, 40, 0, -3, -24, 12, 22, 0, -12, 6, -66, 12, 0, 0, 23, -34, 0, 0, -7, -2, 30, -42, 0, -2, 41, -9, 0, 0, 6, 12, -13, -36, 0, 12, -3, 14, -1, 0, -6, 0, -48, 24, 0, -12, -36, 33, 30, 0, -16, 20, 11, 6, 0, -11, -46, 42, -40, 0, -27, 3, 0, 2, 0, -32, 36, 0, -36, 0, 17, -3, 0, 0, 0, 14, 40, 4, -30, 0, 0, -6, 12, -18, 0, 0, -34, -38, 8, 0, 102, 28, -44, 0, 0, 18, 21, 13, 49, 0, -3, -12, 15, -20, 0, 9, 0, 0, 0, 0, -41, -7, 36, -17, 0, 6, -10, 13, 39, 0, -12, -6, -2, 25, 0, 0, -24, 4, 35, 0, 16, 0, 0, 3, 0, 37, -15, -8, 39, 0, 36, -12, -5, -42, 0, 0, -36, 4, 36, 0, 24, 0, -4, 33, 0, 45, 84, 5, 0, 0, -38, 25, -12, -8, 0, 4, 8, 48, -21, 0, 68, 0, 12, 7, 0, -20, 2, 0, 0, 0, 12, 2, 26, 13, 0, 26, -24, 21, 32, 0, -24, -21, 0, 12, 0, 29, 8, 0, 48, 0, 0, -21, -6, 0, 0, 7, -14, -20, -18, 0, 0, 6, -16, 19, 0, 6, -6, -6, -62, 0, -4, -1, 96, 0, 0, -6, -6, -24, 9, 0, -20, 0, 19, 0, 0, -1, 0, 6, 70, 0, -63, 17, 42, -37, 0, 0, 0, -24, -36, 0, 14, -30, -36, -2, 0, 72, 12, -10, 24, 0, 67, -13, 0, -21, 0, 15, 0, 16, -38, 0, -12, 2, 20, -9, 0, 0, 42, 6, -42, 0, 24, -40, 21, 8, 0, 6, -28, 36, 0, 0, -26, -12, 0, -27, 0, -30, 32, -36, 6, 0, 18, 0, -65, -34, 0, -14, -57, 1, -71, 0, -24, -21, -24, 14, 0, 0, 21, -6, 42, 0, 32, -6, 29, -6, 0, 8, 11, 0, 26, 0, -12, -6, 0, -3, 0, 15, -15, 0, 0, 0, 0, 15, 0, -36, 0, 21, 15, 0, 24, 0, 18, 15, 18, 0, 0, -24, 0, -10, -14, 0, 42, 0, -26, 31, 0, 25, 0, -6, -28, 0, -6, 3, 84, 16, 0, -13, 36, -16, 60, 0, -46, -8, 8, 54, 0, 16, -8, 36, 0, 0, 0, 14, 0, -9, 0, -39, -6, 0, -18, 0, 10, 18, 12, -3, 0, 0, 36, 0, -15, 0, -4, -2, -22, 4, 0, -8, -82, -3, 0, 0, -120, 12, -23, -46, 0, 40, 9, 35, 38, 0, 0, 0, -60, 0, 0, -18, 38, -24, 0, 0, 41, 30, 48, 0, 0, -2, 20, 38, -19, 0, 3, -23, 8, 0, 0, 6, -39, 0, -76, 0, 48, -20, 24, 12, 0, 18, -10, 30, 36, 0, 0, 23, 0, -2, 0, -24, 0, -1, -24, 0, -21, -10, 52, 0, 0, 9, 75, 13, 18, 0, -26, 24, -36, -1, 0, -8, 0, -18, 33, 0, -14, -7, 8, -24, 0, 0, 56, -14, 30, 0, -33, -3, 76, -9, 0, 6, 33, 12, -43, 0, 0, -20, 0, 19, 0, -21, -54, 33, 54, 0, 108, 44, 0, -12, 0, 0, -6, 12, -14, 0, 48, 6, -64, -17, 0, -23, 12, 24, 0, 0, -12, -54, 24, -12, 0, 20, 26, 2, -18, 0, -28, 0, 40, -60, 0, 6, 32, -8, 0, 0, 60, -6, -43, -14, 0, 42, -12, -3, -2, 0, 30, -24, 48, 0, 0, 36, -6, 0, -60, 0, 74, 0, 4, -11, 0, -15, -18, 11, -20, 0, 0, -20, 0, -8, 0, -3, 30, 50, -38, 0, -10, -12, -42, 0, 0, -22, 35, -17, -12, 0, -1, 0, -3, 18, 0, -16, 0, -14, -23, 0, 12, -26, 8, -12, 0, 36, 84, 0, -38, 0, 84, -8, -48, 0, 0, -28, 20, -54, 6, 0, -62, -72, 0, -13, 0, 0, -63, 3, 9, 0, 0, 8, 36, 38, 0, 0, 48, 4, 80, 0, 60, 12, 36, 18, 0, 10, -12, -6, 0, 0, 16, -39, 40, 0, 0, -3, -56, -4, -48, 0, 6, 0, 8, -4, 0, 24, 72, -1, 34, 0, -16, -3, 36, -20, 0, 15, 0, -42, 0, 0, -68, -16, -6, 5, 0, -40, 70, 0, 7, 0, 48, 18, 53, 28, 0, 0, 45, 21, -50, 0, 0, 24, -18, -2, 0, 29, 32, 38, -69, 0, 26, 8, 18, 0, 0, 4, 8, 16, 39, 0, 78, -5, 0, -12, 0, -36, 0, -10, 0, 0, -14, 0, -81, -6, 0, -2, 0, 0, -45, 0, 38, -65, 18, -21, 0, 0, 44, 24, 6, 0, -33, 6, 0, -72, 0, -8, -42, -42, 23, 0, 40, -30, -39, -3, 0, 0, -24, -7, 0, 0, 22, 18, 6, -3, 0, 30, 38, 0, 0, 0, -45, -34, 64, 6, 0, -54, 24, -2, 86, 0, -42, 0, 54, 4, 0, 6, -9, 42, 51, 0, 29, -40, 30, -19, 0, -36, 72, 1, 12, 0, 66, -28, 40, -9, 0, -17, -51, 0, 0, 0, -48, 0, -15, -12, 0, 44, 33, -14, 3, 0, 0, 2, 20, -48, 0, 6, 26, 0, 22, 0, 78, 42, -19, 0, 0, -54, -30, -6, 32, 0, 2, 38, 114, -32, 0, -2, 0, 21, 48, 0, 0, -8, -3, -6, 0, 0, 52, -24, 14, 0, -24, 4, -17, 13, 0, 28, -81, -6, -98, 0, -18, -6, 0, 0, 0, 36, -38, 30, 42, 0, 0, -6, -56, -6, 0, 0, 0, -17, 18, 0, 0, -26, -16, -1, 0, 3, 0, -12, 0, 0, 4, -14, 0, 9, 0, -21, 0, -24, -78, 0, 65, 0, -7, -29, 0, -17, 15, -8, -12, 0, -63, 13, 18, 20, 0, 6, 6, -15, -7, 0, 25, 0, 15, 0, 0, 28, -8, 0, 30, 0, 32, 36, 0, -6, 0, -6, -2, -7, 37, 0, 0, -8, -162, -18, 0, 12, -51, -12, 26, 0, -42, 14, 48, 0, 0, 0, 4, 42, -42, 0, 36, 31, 0, 6, 0, 33, 0, 6, 45, 0, 42, -1, -88, 38, 0, -36, 0, 25, 0, 0, 16, -6, 0, 4, 0, -64, 48, -16, -30, 0, -4, 0, 0, 18, 0, 7, 10, -18, -50, 0, -30, 0, 8, 0, 0, 0, -21, -4, 90, 0, 13, 3, 30, 26, 0, -36, -42, 57, 0, 0, 26, -28, -21, 22, 0, 30, -52, 8, 29, 0, -60, 0, 20, -4, 0, -12, -6, -21, -68, 0, 0, 84, 3, -14, 0, -4, -20, 0, -42, 0, 37, 0, 96, -18, 0, 19, -68, 0, 6, 0, -21, 12, 38, -48, 0, -24, -48, -1, 10, 0, 0, 19, 87, -6, 0, 23, -24, 6, -18, 0, -14, -4, 0, 0, 0, 0, -35, -48, 2, 0, -63, 6, 31, 0, 0, 10, 0, -34, -29, 0, -37, 27, 6, 0, 0, -18, -60, 24, 21, 0, -76, 24, -30, -12, 0, 4, 0, -12, 72, 0, 63, -10, 0, -13, 0, 21, 0, -13, -41, 0, -21, 1, 6, -3, 0, 0, 16, 3, 24, 0, -144, 4, -4, -8, 0, -9, 77, 0, 0, 0, -48, -12, 18, 4, 0, 3, -84, -40, 34, 0, 20, 0, 0, 6, 0, 2, 36, 0, 57, 0, -70, -19, -12, -120, 0, -27, -37, 41, 60, 0, 0, -36, -58, 0, 0, 0, 36, 0, -53, 0, -34, 14, -60, -14, 0, -6, -2, 60, -24, 0, 0, -36, -21, -24, 0, -28, 54, 12, 0, 0, -12, -6, -17, 0, 0, -26, 66, -6, 0, 0, -6, 36, -69, -16, 0, 7, 0, -6, -42, 0, -73, 0, 12, 9, 0, -3, 31, 46, 15, 0, 0, 0, 32, 3, 0, 15, 24, 15, 34, 0, 72, 0, 0, 21, 0, 6, 0, 12, 39, 0, 14, -126, 15, -4, 0, 0, -80, 15, -60, 0, -36, -10, -72, 62, 0, 20, 66, 0, 0, 0, 31, 30, -30, 25, 0, -58, 12, 10, -48, 0, 0, 0, 3, -12, 0, 13, 74, 52, -13, 0, 0, -16, -56, 3, 0, 12, 96, -8, -72, 0, 54, 23, -9, -32, 0, 26, 36, 0, 105, 0, 0, 32, 35, 0, 0, -9, 17, -84, -39, 0, 0, 0, -16, -13, 0, -20, -78, 18, -144, 0, 6, -51, -3, 0, 0, 53, 0, 0, 72, 0, -56, -9, -2, 33, 0, 4, 0, -22, 16, 0, 66, -3, 28, -4, 0, 33, 24, -24, -48, 0, -46, -18, 0, 40, 0, 12, -7, -48, 90, 0], "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": "26.2.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], [-1], [-1], [1], [0], [1], [-1], [-1], [-2], [0], [-6], [-1], [0], [1], [0], [1], [3], [2], [-2], [0], [1], [6], [0], [1], [0], [0], [5], [-1], [6], [0], [4], [-1], [6], [-3], [0], [-2], [-7], [2], [0], [0], [0], [-1], [1], [-6], [0], [0], [3], [-1], [-6], [0], [-3], [0], [0], [-5], [0], [1], [2], [-6], [6], [0], [8], [-4], [2], [1], [0], [-6], [14], [3], [0], [0], [3], [2], [2], [7], [0], [-2], [6], [0], [8], [0], [1], [0], [12], [1], [0], [-1], [-6], [6], [6], [0], [0], [0], [-4], [-3], [0], [1], [-10], [6], [12], [0]]}