# Stored data for newform 2205.2.a.g, downloaded from the LMFDB on 24 April 2024.
{"label": "2205.2.a.g", "space_label": "2205.2.a", "level": 2205, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797779613, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1108124109195906551, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 1]], [11, [2, 1]], [13, [6, 1]], [17, [-6, 1]]], "qexp_display": "q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-2q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8820, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 17.607013645692323, "hecke_ring_index": 1, "level_radical": 105, "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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [2205, 1, [1226, 442, 1081], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.955", "prec": 17}, {"__RealLiteral__": 0, "data": "0.045", "prec": 17}, {"__RealLiteral__": 0, "data": "1.867", "prec": 17}, {"__RealLiteral__": 0, "data": "0.188", "prec": 17}, {"__RealLiteral__": 0, "data": "4.645", "prec": 17}], "related_objects": ["EllipticCurve/Q/2205/g"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [7, -1]], "trace_display": [1, 0, -1, 0], "traces": [0, 1, 1, 0, -1, -1, 0, 0, -3, 0, -1, -2, 0, -6, 0, 0, -1, 6, 0, 6, 1, 0, -2, -4, 0, 1, -6, 0, 0, 8, 0, 6, 5, 0, 6, 0, 0, -6, 6, 0, 3, 6, 0, 0, 2, 0, -4, 0, 0, 0, 1, 0, 6, 2, 0, 2, 0, 0, 8, 12, 0, 0, 6, 0, 7, 6, 0, 4, -6, 0, 0, -14, 0, 6, -6, 0, -6, 0, 0, 8, 1, 0, 6, 12, 0, -6, 0, 0, 6, -6, 0, 0, 4, 0, 0, -6, 0, -6, 0, 0, -1, 18, 0, 0, 18, 0, 2, -8, 0, -6, 2, 0, 0, 2, 0, 4, -8, 0, 12, 0, 0, -7, 0, 0, -6, -1, 0, -20, -3, 0, 6, 12, 0, 0, 4, 0, -18, 14, 0, -18, 0, 0, -14, 12, 0, -8, 6, 0, 6, 4, 0, 0, -18, 0, 0, -6, 0, -18, 8, 0, -5, 0, 0, 16, -6, 0, 12, 12, 0, 23, -6, 0, 0, 6, 0, 0, 2, 0, -6, 22, 0, 12, 0, 0, 12, 6, 0, -12, 0, 0, -6, 14, 0, -6, -6, 0, 0, 22, 0, 6, -3, 0, 18, 0, 0, -6, 0, 0, 6, -12, 0, 12, -2, 0, -8, 0, 0, 0, -6, 0, -2, -36, 0, 12, 0, 0, 2, 12, 0, -24, 4, 0, -24, 10, 0, 0, -12, 0, 0, -14, 0, 12, -7, 0, 0, 0, 0, -36, -18, 0, -1, -12, 0, 8, -20, 0, -17, 18, 0, 0, -6, 0, 12, -16, 0, -2, 0, 0, -4, 6, 0, -30, -6, 0, 14, -2, 0, 26, -18, 0, 0, -20, 0, -24, 14, 0, 12, 0, 0, 19, -8, 0, -6, -18, 0, -12, 18, 0, 4, 24, 0, 0, 0, 0, -6, 0, 0, -12, 0, 0, -6, -24, 0, -6, -18, 0, -8, -22, 0, -16, -7, 0, 0, 36, 0, -6, 16, 0, -18, 0, 0, 12, -12, 0, 12, -4, 0, -30, 23, 0, 6, -12, 0, 0, 0, 0, 6, 28, 0, 24, 0, 0, -10, 6, 0, 14, 6, 0, 22, -10, 0, 17, 12, 0, 0, -6, 0, 12, 4, 0, 6, 0, 0, 22, -12, 0, 0, -48, 0, 36, 6, 0, 14, 36, 0, 0, -6, 0, 6, 4, 0, -24, 0, 0, 22, -8, 0, 18, 6, 0, -1, -16, 0, -36, -18, 0, 0, 12, 0, -24, -6, 0, 0, 0, 0, -12, -30, 0, -12, 12, 0, 10, 12, 0, -6, 6, 0, 0, 8, 0, 0, -22, 0, -30, 0, 0, 6, -24, 0, 30, -6, 0, -36, -20, 0, 6, 12, 0, 0, -16, 0, -12, -2, 0, 12, 0, 0, -18, -24, 0, -4, -18, 0, -4, -8, 0, 10, 12, 0, 0, 0, 0, -36, 0, 0, 6, 0, 0, -14, -24, 0, 36, 12, 0, 7, 6, 0, 12, 0, 0, 0, 14, 0, 48, -36, 0, -6, 0, 0, 36, 1, 0, -12, -36, 0, -18, 8, 0, 20, 30, 0, 0, -11, 0, 18, 0, 0, 0, 0, 0, -18, 18, 0, -12, -12, 0, -16, 36, 0, -7, -2, 0, 0, -36, 0, 8, -12, 0, 6, 0, 0, 2, -30, 0, 30, 6, 0, -28, -14, 0, -2, 48, 0, 0, 26, 0, 18, 10, 0, 0, 0, 0, -20, -24, 0, -2, -24, 0, 42, 40, 0, 4, -12, 0, 0, -4, 0, 42, 19, 0, 8, 0, 0, -4, -18, 0, -18, 24, 0, 36, -12, 0, 6, -18, 0, 0, -4, 0, 24, 14, 0, -12, 0, 0, 0, 7, 0, 12, 30, 0, 0, 0, 0, -38, -12, 0, 0, -14, 0, 30, 6, 0, -24, 0, 0, 1, -6, 0, 18, -36, 0, 16, -24, 0, -22, 20, 0, 0, -16, 0, 3, 28, 0, 36, 0, 0, 36, 12, 0, -24, -6, 0, -16, -34, 0, -12, -6, 0, 0, 50, 0, -24, 12, 0, -36, 0, 0, -32, -12, 0, -4, 0, 0, 6, -30, 0, -23, -18, 0, 0, 18, 0, -12, -4, 0, -14, 0, 0, 0, -12, 0, 18, -6, 0, 28, 18, 0, 36, 24, 0, 0, 8, 0, -36, -14, 0, 6, 0, 0, 6, 14, 0, 18, -24, 0, -12, -22, 0, -10, 0, 0, 0, 17, 0, -12, 8, 0, 36, 0, 0, -6, 0, 0, 42, 12, 0, -20, -8, 0, 20, -6, 0, 0, -16, 0, -4, 22, 0, 12, 0, 0, -24, 0, 0, -48, 0, 0, -42, 36, 0, 18, -6, 0, 0, -14, 0, 36, -72, 0, -12, 0, 0, 6, 30, 0, 6, 18, 0, 4, 36, 0, 28, -24, 0, 0, 18, 0, 12, -22, 0, -8, 0, 0, 0, 18, 0, -6, -18, 0, 0, 5, 0, -16, -12, 0, 0, -36, 0, -54, 4, 0, 30, 0, 0, 12, -16, 0, 0, -24, 0, 6, -8, 0, -4, 0, 0, 0, -40, 0, -12, -12, 0, -42, 0, 0, -12, 12, 0, 12, 48, 0, 35, 10, 0, -12, -23, 0, 0, -2, 0, 6, 24, 0, -6, 0, 0, 24, 18, 0, -6, 0, 0, -22, -4, 0, -6, -30, 0, 0, -16, 0, -24, 18, 0, -24, 0, 0, -22, 30, 0, -2, -18, 0, -12, 36, 0, -20, 48, 0, 0, 6, 0, -12, 0, 0, -22, 0, 0, -16, 48, 0, 12, -12, 0, -6, -12, 0, 12, -12, 0, 0, 22, 0, -24, -18, 0, 24, 0, 0, 24, -12, 0, -18, 84, 0, -6, -4, 0, 40, -30, 0, 0, -10, 0, 12, 12, 0, 54, 0, 0, 0, 18, 0, -24, -12, 0, 0, -20, 0, -36, 6, 0, 0, 34, 0, -14, 14, 0, -24, 0, 0, 5, 36, 0, -12, 6, 0, 32, 21, 0, 6, -36, 0, 0, 12, 0, 0, -38, 0, 12, 0, 0, 14, 0, 0, -22, 48, 0, 36, 0, 0, 48, 30, 0, 0, -6, 0, -30, 36, 0, 3, 0, 0, 72, 12, 0, -36, 12, 0, 2, -18, 0, -8, -18, 0, 0, 60, 0, 30, -10, 0, 12, 0, 0, 23, 6, 0, -48, -18, 0, 0, -38, 0, -46, 0, 0, 0, 0, 0, 18, -6, 0, 18, 0, 0, 12, -12, 0, -36, -6, 0, -28, 16, 0, 36, -12, 0, 0, -7, 0, 2, 28, 0, 12, 0, 0, -36, 12, 0, 12, 8, 0, -4, -48, 0, 0, -6, 0, 0, -72, 0, 0, 2, 0, 30, 0, 0, -8, 42, 0, 6, 60, 0, -50, -28, 0, -42, -42, 0, 0, 2, 0, 48, 8, 0, 36, 0, 0, -26, 42, 0, -36, 54, 0, 10, -12, 0, 18, 0, 0, 0, 72, 0, 36, 20, 0, -24, 0, 0, -50, -2, 0, 24, 0, 0, -12, 14, 0, 40, 24, 0, 0, 4, 0, -36, 24, 0, -36, 0, 0, -4, 0, 0, -6, 42, 0, -19, 36, 0, 0, 24, 0, 0, -32, 0, -10, -4, 0, -6, 0, 0, -12, 18, 0, 24, 0, 0, 16, 36, 0, 12, -18, 0, 0, -30, 0, -18, -44, 0, 48, 0, 0, -12, 6, 0, 14, -24, 0, 14, 12, 0, -30, -12, 0, 0, -12, 0, -84, 0, 0, 7, 0, 0, -26, 12, 0, 42, 42, 0, -8, 0, 0, 0, 12, 0, 0, -38, 0, 12, -8, 0, -42, 0, 0, -14, 36, 0, -18, 30, 0, 18, 36, 0, -4, 24, 0, 0, 0, 0, -36, 1, 0, 6, 0, 0, 12, 54, 0, -36, 12, 0, 36, 16, 0, -8, -8, 0, 0, 22, 0, 20, 36, 0, 24, 0, 0, 16, 30, 0, 42, 17, 0, 28, 40, 0, -18, 36, 0, 0, -20, 0, -6, -36, 0, 12, 0, 0, 38, -24, 0, 6, 6, 0, -24, -48, 0, -34, -36, 0, 0, -12, 0, 30, -108, 0, 16, 0, 0, 50, -72, 0, -12, -24, 0, -12, 2, 0, -36, -12, 0, 0, 36, 0, 0, -32, 0, -36, 0, 0, 0, 4, 0, 0, 48, 0, -6, 6, 0, 30, -84, 0, 0, -69, 0, -18, 30, 0, -48, 0, 0, 6, 30, 0, 0, 12, 0, -4, -8, 0, -1, -14, 0, 0, 62, 0, 2, 0, 0, -12, 0, 0, -42, 18, 0, -18, -26, 0, 36, -28, 0, 18, 48, 0, 0, 36, 0, -24, 40, 0, 6, 0, 0, 8, 0, 0, 20, -36, 0, 6, -20, 0, 72, -6, 0, 0, 24, 0, 36, 6, 0, -14, 0, 0, 0, 6, 0, -24, 48, 0, -18, -12, 0, -66, -6, 0, 0, 10, 0, 0, 38, 0, -24, 0, 0, -17, -19, 0, 72, -36, 0, 8, -58, 0, 6, 36, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 18, 42, 0, -12, -12, 0, 72, -28, 0, -8, 12, 0, 0, 20, 0, -18, 44, 0, -60, 0, 0, -16, -72, 0, 24, -4, 0, -22, 70, 0, -24, 36, 0, 0, -26, 0, 48, -24, 0, 0, 0, 0, -28, 48, 0, 0, 24, 0, -36, -42, 0, -36, -36, 0, 0, 6, 0, -6, 32, 0, 0, 0, 0, -42, 36, 0, 54, -36, 0, -72, 12, 0, 16, -12, 0, 0, -16, 0, 24, 18, 0, 30, 0, 0, -30, 6, 0, 6, -30, 0, 24, -4, 0, 36, -48, 0, 0, 28, 0, 24, 6, 0, 12, 0, 0, 18, -36, 0, 42, 12, 0, -66, 72, 0, 76, 8, 0, 0, -4, 0, 22, 0, 0, -18, 0, 0, 0, -18, 0, -18, 16, 0, 42, 0, 0, 7, -66, 0, 0, 16, 0, -12, 28, 0, -72, 0, 0, 36, -18, 0, -36, -18, 0, 4, 14, 0, 2, 30, 0, 0, 6, 0, 24, -12, 0, -16, 0, 0, 56, 0, 0, 24, -42, 0, -8, 18, 0, -8, 12, 0, 0, -4, 0, 0, -36, 0, 120, 0, 0, -40, -12, 0, -30, -12, 0, 12, 0, 0, -44, 18, 0, 0, -52, 0, 72, -12, 0, 36, 0, 0, 4, -12, 0, 48, -24, 0, -5, 35, 0, -10, 30, 0, 0, -36, 0, -23, -36, 0, 30, 0, 0, 10, -18, 0, -6, -6, 0, 24, -72, 0, 12, -6, 0, 0, -40, 0, 96, 8, 0, 18, 0, 0, 108, -6, 0, 0, -30, 0, -68, 22, 0, -4, 36, 0, 0, -6, 0, 30, -2, 0, -28, 0, 0, -16, 0, 0, -60, -24, 0, 6, -24, 0, -24, 24, 0, 0, 0, 0, -54, -22, 0, -30, 0, 0, 0, 10, 0, -18, 0, 0, -6, -12, 0, 108, 0, 0, 0, 20, 0, 48, -14, 0, 18, 0, 0, -6, -84, 0, 36, -36, 0, 0, -40, 0, 30, -22, 0, 0, -32, 0, 10, 16, 0, 48, 0, 0, -6, 12, 0, 12, -17, 0, 108, -2, 0, -12, -36, 0, 0, 12, 0, -36, -32, 0, -48, 0, 0, 22, -48, 0, 6, -24, 0, 18, 72, 0, -40, 72, 0, 0, -12, 0, -24, 24, 0, -4, 0, 0, -36, 18, 0, 84, -24, 0, -43, -6, 0, 4, -36, 0, 0, 56, 0, -30, -46, 0, -12, 0, 0, -30, -22, 0, 36, -12, 0, 12, -26, 0, -66, 54, 0, 0, -22, 0, -42, 0, 0, 18, 0, 0, 48, -24, 0, 60, -30, 0, 0, 0, 0, -20, -36, 0, 0, -36, 0, -6, -56, 0, -12, 0, 0, 34, -36, 0, -48, -14, 0, 42, -62, 0, -36, 24, 0, 0, 108, 0, 12, 5, 0, -36, 0, 0, 0, -36, 0, 6, 60, 0, -10, 32, 0, 7, -24, 0, 0, -6, 0, -36, 32, 0, -4, 0, 0, -12, -66, 0, 18, 0, 0, -38, 24, 0, 0, 12, 0, 0, -12, 0, 0, -14, 0, 0, 0, 0, -44, -22, 0, -48, -30, 0, 8, 108, 0, 0, 84, 0, 0, 48, 0, 42, -18, 0, -60, 0, 0, -6, -24, 0, -18, -30, 0, -36, -58, 0, 16, 1, 0, 0, 4, 0, 16, 72, 0, 36, 0, 0, -76, 36, 0, 12, 36, 0, 42, 2, 0, 18, 0, 0, 0, -24, 0, -18, 16, 0, -48, 0, 0, 20, -48, 0, -12, -30, 0, -10, 2, 0, 108, 12, 0, 0, 24, 0, 24, 45, 0, 6, 0, 0, -18, -48, 0, -54, -42, 0, -112, 0, 0, -38, 48, 0, 0, -46, 0, 0, 80, 0, -36, 0, 0, 0, 12, 0, 24, 18, 0, 30, -40, 0, 12, -18, 0, 0, 76, 0, -60, 12, 0, 12, 0, 0, -12, -12, 0, -6, 36, 0, -28, -28, 0, 48, -10, 0, 0, -36, 0, -12, 22, 0, 18, 0, 0, 7, 48, 0, -96, 6, 0, 28, 12, 0, -6, 12, 0, 0, 32, 0, -78, 36, 0, 12, 0, 0, 54, 12, 0, -8, -66, 0, -48, 20, 0, -48, 12, 0, 0, 0, 0, -18, 46, 0, 22, 0, 0, -72, -120, 0, -36, 0, 0, -2, 30, 0, -44, 90, 0, 0, -72, 0, 12, -8, 0, -18, 0, 0, -52, -6, 0, 60, -72, 0, 24, -50, 0, 28, -12, 0, 0, -14, 0, -42, -30, 0, -60, 0, 0, 6, -84, 0, -72, -48, 0, 8, 28, 0, -47, 36, 0, 0, 10, 0, 20, -78, 0, 42, 0, 0, 30, -36, 0, 18, -6, 0, 72, -10, 0, -12, 24, 0, 0, 18, 0, 0, -58, 0, 90, 0, 0, 72, 0, 0, 16, 36, 0, 60, -36, 0, 20, 24, 0, 0, 12, 0, 0, -50, 0, 2, 0, 0, 36, 72, 0, 0, 24, 0, 2, -12, 0, -70, -54, 0, 0, -40, 0, 24, 0, 0, 12, 0, 0, -4, 18, 0, -12, -12, 0, 24, 64, 0, -82, -36, 0, 0, -22, 0, -42, 4, 0, 0, 0, 0, 18, -6, 0, -42, 30, 0, 48, -57, 0, 36, 4, 0, 0, 0, 0, 8, -24, 0, -72, 0, 0, -32, -132, 0, 84, -10, 0, 4, 46, 0, -12, 30, 0, 0, 10, 0, -48, -12, 0, 54, 0, 0, 12, -24, 0, 0, -24, 0, -72, 16, 0, -36, -18, 0, 0, 36, 0, -18, -108, 0, 0, 0, 0, -42, 0, 0, 30, 18, 0, -44, -6, 0, 38, 48, 0, 0, -64, 0, 48, -4, 0, 6, 0, 0, -86, 14, 0, -72, 30, 0, 24, -14, 0, 12, 0, 0, 0, -30, 0, 12, -36, 0, 96, 0, 0, -12, 84, 0, -120, -84, 0, 0, -70, 0, 72, -7, 0, 0, 8, 0, -6, -26, 0, -12, 0, 0, 72, -18, 0, 42, -12, 0, 46, -8, 0, 0, 30, 0, 0, 0, 0, 12, 88, 0, 48, 0, 0, 38, -24, 0, -14, 36, 0, -8, 50, 0, 32, -42, 0, 0, -48, 0, 12, 14, 0, 36, 0, 0, -90, -18, 0, -30, 18, 0, -24, 6, 0, 36, -84, 0, 0, -4, 0, 72, 72, 0, 0, 0, 0, 0, -36, 0, -24, -36, 0, -1, 0, 0, 16, 18, 0, 0, 24, 0, 36, 12, 0, 18, 0, 0, 36, 36, 0, 12, 48, 0, -6, 36, 0, -16, 18, 0, 0, 40, 0, -8, -50, 0, 24, 0, 0, 66, 0, 0, -54, -20, 0, 36, 56, 0, -30, 24, 0, 0, 44, 0, 18, 48, 0, 30, 0, 0, 74, 42, 0, 11, -132, 0, -20, -28, 0, 40, 0, 0, 0, -18, 0, -36, 72, 0, 0, 0, 0, -20, 60, 0, -48, -6, 0, -108, 0, 0, -36, -12, 0, 0, -2, 0, -54, 38, 0, 24, 0, 0, -8, 18, 0, 6, 84, 0, -18, -24, 0, -16, -6, 0, 0, 34, 0, -36, 12, 0, -42, 0, 0, 12, 42, 0, 0, 42, 0, -108, 84, 0, 28, 16, 0, 0, -14, 0, -36, -50, 0, -72, 0, 0, -108, -12, 0, 24, 7, 0, 36, -36, 0, 2, -24, 0, 0, -36, 0, 60, 86, 0, 6, 0, 0, 36, -36, 0, 36, 0, 0, 32, -108, 0, 48, -12, 0, 0, -8, 0, -54, 0, 0, 12, 0, 0, 20, 0, 0, 48, -72, 0, -10, -6, 0, -6, -78, 0, 0, 90, 0, -84, 2, 0, -36, 0, 0, -23, -2, 0, -84, 18, 0, 30, 58, 0, 66, -48, 0, 0, 72, 0, -54, -30, 0, 30, 0, 0, -6, 0, 0, 36, 6, 0, 4, 4, 0, -8, 28, 0, 0, -1, 0, 14, -16, 0, -72, 0, 0, 62, 24, 0, 36, 2, 0, 0, -14, 0, -48, 12, 0, 0, -36, 0, 24, -42, 0, -18, 0, 0, -32, -6, 0, -26, 96, 0, 0, 36, 0, -84, -30, 0, 0, -18, 0, 48, 28, 0, -10, 0, 0, -36, -6, 0, -78, -72, 0, 40, 0, 0, 10, 6, 0, 0, -16, 0, 24, -8, 0, 0, 0, 0, -49, 20, 0, 36, -48, 0, 24, 34, 0, -20, 12, 0, 0, 72, 0, -18, 2, 0, -36, 0, 0, 24, 24, 0, 54, 36, 0, -6, -62, 0, 72, -42, 0, 0, 52, 0, -40, 0, 0, -30, 0, 0, 60, 24, 0, 48, -4, 0, 50, -18, 0, 12, 6, 0, 0, -22, 0, -6, 0, 0, 0, 0, 0, 30, 138, 0, 4, 0, 0, 38, -86, 0, 0, -24, 0, 0, -42, 0, 36, -51, 0, -19, 0, 0, 32, 72, 0, -12, 102, 0, -72, -8, 0, -58, 96, 0, 0, 6, 0, -36, -28, 0, -84, 0, 0, 0, 4, 0, 42, 6, 0, 18, 80, 0, -48, 0, 0, 0, 8, 0, 144, 18, 0, -42, 0, 0, -24, -36, 0, -12, -12, 0, 36, 72, 0, 12, -36, 0, 0, 8, 0, 12, -72, 0, 66, 0, 0, -20, 78, 0, -12, -6, 0, 44, -64, 0, 18, -60, 0, 0, -56, 0, -6, 16, 0, -72, 0, 0, 144, 24, 0, 4, 60, 0, -108, -66, 0, 70, 0, 0, 0, -24, 0, 12, 36, 0, -14, 0, 0, -26, 0, 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": "2205.2.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], [0], [-1], [-1], [0], [0], [-3], [0], [-1], [-2], [0], [-6], [0], [0], [-1], [6], [0], [6], [1], [0], [-2], [-4], [0], [1], [-6], [0], [0], [8], [0], [6], [5], [0], [6], [0], [0], [-6], [6], [0], [3], [6], [0], [0], [2], [0], [-4], [0], [0], [0], [1], [0], [6], [2], [0], [2], [0], [0], [8], [12], [0], [0], [6], [0], [7], [6], [0], [4], [-6], [0], [0], [-14], [0], [6], [-6], [0], [-6], [0], [0], [8], [1], [0], [6], [12], [0], [-6], [0], [0], [6], [-6], [0], [0], [4], [0], [0], [-6], [0], [-6], [0], [0], [-1]]}