# Stored data for newform 9027.2.a.b, downloaded from the LMFDB on 27 April 2024.
{"label": "9027.2.a.b", "space_label": "9027.2.a", "level": 9027, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660933955, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1176413077827122649, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [5, [1, 1]]], "qexp_display": "q-q^{2}-q^{4}-q^{5}+3q^{7}+3q^{8}+q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36108, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 72.0809579046098, "hecke_ring_index": 1, "level_radical": 3009, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [9027, 1, [7022, 4780, 4132], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [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": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.020", "prec": 17}, {"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "2.058", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.183", "prec": 17}], "related_objects": ["EllipticCurve/Q/9027/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [17, 1], [59, -1]], "trace_display": [-1, 0, -1, 3], "traces": [0, 1, -1, 0, -1, -1, 0, 3, 3, 0, 1, -4, 0, 0, -3, 0, -1, -1, 0, 7, 1, 0, 4, -2, 0, -4, 0, 0, -3, -3, 0, 4, -5, 0, 1, -3, 0, 0, -7, 0, -3, 3, 0, 4, 4, 0, 2, -6, 0, 2, 4, 0, 0, 9, 0, 4, 9, 0, 3, 1, 0, -10, -4, 0, 7, 0, 0, -4, 1, 0, 3, 4, 0, -2, 0, 0, -7, -12, 0, 5, 1, 0, -3, -16, 0, 1, -4, 0, -12, 0, 0, 0, 2, 0, 6, -7, 0, -8, -2, 0, 4, 8, 0, -16, 0, 0, -9, -9, 0, -10, -4, 0, -3, 14, 0, 2, 3, 0, -1, -3, 0, 5, 10, 0, -4, 9, 0, 15, 3, 0, 0, 18, 0, 21, 4, 0, -3, -11, 0, 4, 3, 0, -4, 0, 0, 3, 2, 0, 0, 10, 0, 8, 21, 0, 12, -4, 0, 2, -5, 0, 5, -6, 0, -16, -3, 0, 16, -15, 0, -13, -1, 0, -4, 24, 0, -12, 4, 0, 0, 14, 0, -5, 0, 0, -6, 0, 0, 4, 6, 0, 7, -2, 0, -15, 8, 0, -2, -2, 0, -9, -12, 0, -8, -9, 0, -3, 16, 0, 0, -28, 0, 12, -9, 0, 9, -4, 0, 12, 10, 0, -4, 0, 0, -24, -15, 0, -14, -14, 0, 26, -2, 0, -9, -8, 0, 6, -1, 0, 3, -21, 0, 7, -5, 0, 10, -2, 0, 0, 12, 0, -9, 15, 0, 8, -15, 0, -17, 19, 0, 0, 0, 0, -18, 11, 0, -9, -21, 0, 4, 2, 0, 11, 1, 0, 11, 16, 0, 13, -4, 0, -9, -15, 0, 6, -4, 0, 0, 9, 0, 1, -3, 0, 2, 3, 0, -1, 0, 0, -10, 0, 0, 12, -8, 0, -7, 10, 0, -31, 12, 0, 4, -7, 0, 22, -2, 0, -5, -2, 0, 12, -7, 0, 6, -7, 0, 0, 16, 0, 9, -18, 0, -25, 16, 0, 15, 4, 0, 30, 13, 0, -1, -16, 0, -15, 12, 0, -24, -12, 0, -14, 12, 0, 20, -24, 0, -4, 0, 0, -14, -3, 0, 30, 5, 0, 0, 2, 0, -8, 2, 0, 0, 27, 0, -14, -4, 0, -18, 0, 0, 19, 7, 0, 2, 8, 0, 12, 15, 0, 8, -34, 0, 2, 6, 0, 2, -5, 0, -22, 9, 0, 4, 24, 0, 0, -8, 0, 9, 0, 0, -4, 3, 0, 16, 3, 0, 16, 0, 0, 28, 4, 0, -20, -12, 0, 27, 4, 0, -30, 9, 0, 4, -8, 0, -41, -12, 0, 10, -14, 0, 8, 12, 0, 0, -24, 0, 0, 24, 0, 21, -3, 0, -12, -14, 0, 14, 0, 0, 32, -26, 0, -2, -10, 0, 30, 3, 0, 8, -6, 0, -12, -6, 0, 3, -16, 0, -28, 3, 0, 21, -32, 0, 0, -7, 0, -5, 8, 0, -1, -30, 0, 2, -33, 0, 3, 0, 0, -4, 12, 0, -23, -9, 0, -15, -16, 0, -8, -8, 0, -15, -18, 0, -6, 11, 0, -19, 16, 0, 24, 0, 0, 0, -26, 0, 33, -18, 0, -11, -4, 0, -19, 9, 0, -21, 0, 0, 9, -12, 0, -2, -8, 0, 10, -11, 0, 5, 10, 0, -12, 11, 0, -16, -21, 0, 15, -13, 0, -4, -3, 0, 0, 3, 0, 15, -18, 0, -14, -6, 0, 12, -6, 0, -4, 0, 0, -9, 8, 0, -23, -1, 0, -3, -48, 0, -36, -6, 0, -3, -12, 0, 28, 1, 0, 0, 27, 0, 3, -10, 0, 0, 37, 0, 4, -12, 0, -8, -5, 0, 23, -35, 0, -10, 0, 0, 8, 31, 0, -36, 21, 0, -29, 4, 0, 7, 0, 0, 11, -22, 0, -2, 0, 0, -28, 15, 0, 2, -15, 0, 0, -12, 0, -3, -34, 0, -19, 6, 0, 7, 15, 0, -4, 0, 0, 16, -13, 0, -18, -3, 0, 18, -48, 0, -29, 25, 0, -48, -21, 0, 6, 15, 0, -4, 40, 0, -20, -30, 0, 13, -38, 0, -24, 3, 0, 16, -12, 0, 11, 15, 0, -4, 0, 0, -2, -24, 0, 12, -4, 0, -3, 14, 0, 12, -16, 0, 0, -28, 0, 24, 24, 0, 11, 4, 0, 0, -8, 0, 0, -14, 0, 3, 0, 0, -48, -30, 0, 5, 12, 0, -8, 0, 0, -2, -4, 0, 26, 8, 0, 10, 16, 0, -12, 0, 0, -27, -24, 0, -10, 14, 0, -4, -27, 0, 26, 6, 0, 0, -8, 0, -43, -19, 0, -21, -21, 0, -30, 2, 0, -8, 0, 0, 10, -12, 0, 15, -18, 0, -16, -24, 0, 34, 21, 0, -16, -2, 0, -2, -2, 0, 4, 2, 0, 5, 42, 0, 0, 22, 0, 9, -36, 0, 6, 20, 0, -24, 8, 0, 6, 0, 0, 24, 50, 0, -8, 9, 0, 0, 16, 0, 28, 4, 0, 3, -18, 0, -30, -48, 0, -3, 36, 0, -31, -16, 0, 0, -2, 0, 15, 28, 0, -4, 50, 0, -20, 20, 0, -12, 13, 0, 15, -9, 0, -4, 0, 0, -37, 30, 0, -27, 54, 0, 26, 4, 0, 8, -34, 0, -24, 41, 0, -12, -20, 0, 0, -30, 0, 14, 27, 0, -33, -8, 0, -4, 24, 0, -35, 0, 0, 24, -42, 0, 45, 0, 0, 24, -42, 0, -14, 9, 0, 3, -12, 0, -9, 12, 0, 42, 5, 0, -43, 14, 0, 0, 37, 0, 64, -32, 0, -26, 54, 0, -20, 6, 0, 10, 0, 0, 0, -30, 0, 15, 28, 0, 14, 8, 0, 6, -4, 0, 2, 12, 0, -6, -24, 0, -6, -1, 0, 16, 35, 0, 0, 28, 0, -9, 26, 0, 2, 21, 0, 32, -33, 0, -15, 0, 0, -7, 15, 0, -10, 15, 0, -8, -61, 0, 12, 1, 0, 10, -2, 0, 0, 2, 0, 33, 10, 0, 2, -3, 0, 0, -8, 0, 4, -20, 0, -12, 9, 0, 31, 23, 0, 27, 0, 0, -1, -15, 0, 16, 63, 0, -32, 8, 0, -8, -14, 0, 9, 45, 0, 18, -24, 0, -2, 6, 0, 23, -12, 0, 0, -19, 0, -16, -43, 0, -18, -24, 0, 0, 10, 0, -13, 0, 0, 26, 30, 0, 28, -33, 0, 54, -19, 0, -45, -11, 0, 4, -12, 0, 24, 19, 0, 9, 48, 0, 16, 63, 0, 0, 32, 0, -29, -9, 0, 4, 0, 0, -16, -2, 0, 8, 0, 0, 12, -10, 0, -11, -12, 0, 47, -7, 0, -10, 47, 0, 16, 12, 0, -33, 37, 0, 6, -16, 0, 21, 24, 0, 0, -15, 0, -13, 36, 0, -32, 12, 0, 3, 24, 0, -48, 0, 0, 15, 7, 0, 46, 15, 0, 18, -4, 0, -32, 14, 0, -6, 64, 0, 14, -4, 0, 6, 4, 0, -48, 4, 0, 0, -26, 0, 0, -9, 0, -8, 48, 0, 50, 23, 0, -1, 0, 0, -70, 9, 0, 48, 20, 0, 8, 36, 0, 2, -45, 0, 46, -3, 0, 12, 24, 0, 36, -28, 0, 1, 34, 0, -39, 0, 0, -27, -13, 0, -9, -3, 0, 30, -14, 0, 21, 0, 0, -37, 40, 0, -22, -4, 0, -12, -7, 0, -4, 24, 0, 5, 72, 0, 62, -23, 0, 49, -42, 0, -18, -10, 0, 0, -56, 0, -8, -8, 0, 31, -30, 0, 37, 12, 0, -21, 0, 0, 10, 29, 0, -12, 2, 0, -56, 7, 0, 0, -12, 0, 20, -11, 0, -22, 42, 0, -15, 6, 0, 0, -9, 0, 0, 28, 0, -5, -8, 0, -15, 2, 0, 15, 12, 0, -28, 0, 0, -12, -8, 0, 0, 17, 0, 34, -48, 0, -19, 19, 0, -18, -62, 0, -58, 7, 0, -15, 0, 0, -20, 4, 0, 0, -43, 0, 41, -48, 0, 13, -69, 0, 12, 18, 0, -15, 0, 0, -11, 18, 0, 48, 17, 0, -22, 29, 0, 25, -36, 0, -44, 16, 0, 21, 24, 0, 16, -6, 0, -45, -6, 0, 0, -4, 0, -40, -5, 0, -2, 20, 0, -30, 28, 0, -45, -39, 0, 38, -11, 0, -2, 24, 0, -1, -2, 0, 18, 16, 0, 12, -50, 0, -37, -11, 0, 15, 26, 0, -36, -20, 0, 0, -6, 0, -16, 2, 0, 72, -13, 0, -14, 12, 0, 4, 0, 0, -27, 3, 0, 14, -60, 0, 24, -36, 0, 16, 20, 0, 15, 0, 0, -12, 62, 0, 16, 24, 0, -24, -6, 0, 0, -11, 0, 4, -6, 0, -9, 0, 0, 8, 50, 0, 38, 0, 0, 42, -21, 0, -9, 3, 0, 0, 16, 0, -72, 48, 0, -30, -1, 0, 48, -15, 0, -12, -37, 0, -10, 8, 0, 0, -24, 0, 60, -2, 0, 4, -84, 0, -3, -26, 0, 8, 0, 0, 30, -14, 0, -16, -4, 0, 36, 12, 0, 0, -20, 0, 4, -27, 0, 24, -33, 0, 50, 10, 0, 14, 10, 0, 0, 12, 0, 27, 22, 0, 35, -26, 0, 30, -12, 0, 44, 0, 0, 8, -24, 0, 0, 43, 0, -19, 0, 0, 8, 7, 0, 21, 59, 0, 40, 30, 0, -6, -16, 0, 32, -8, 0, 0, 31, 0, -27, -10, 0, -12, 8, 0, -63, -45, 0, 18, 0, 0, 5, 16, 0, 8, -3, 0, 7, 34, 0, -21, 52, 0, -72, 16, 0, -2, -22, 0, 74, -10, 0, 2, -6, 0, 0, -4, 0, -6, -112, 0, -67, 5, 0, -42, 33, 0, 2, 0, 0, 22, -42, 0, 0, -27, 0, 36, -12, 0, 65, -6, 0, -28, -18, 0, 78, -24, 0, -8, -12, 0, 51, -6, 0, 0, 47, 0, 7, -8, 0, -50, -4, 0, 23, 8, 0, -27, 0, 0, -54, 0, 0, -16, -24, 0, -8, -28, 0, 4, -48, 0, -40, -9, 0, 18, 36, 0, 18, 30, 0, 16, 8, 0, 0, -3, 0, -36, 25, 0, -2, 31, 0, -16, -32, 0, -56, 0, 0, 2, -15, 0, 49, -15, 0, -84, -63, 0, 16, -4, 0, -50, 4, 0, -32, 20, 0, 20, -30, 0, 21, 36, 0, -13, 0, 0, 34, -15, 0, -45, -3, 0, -58, -4, 0, 0, 0, 0, 16, 37, 0, 30, -1, 0, -3, 9, 0, -54, 15, 0, -8, -26, 0, -12, 54, 0, -35, 8, 0, 34, -8, 0, 0, 24, 0, 41, -1, 0, 12, 36, 0, 20, 0, 0, -30, 0, 0, 10, 14, 0, 12, 14, 0, -27, 16, 0, 44, 33, 0, -8, 45, 0, 41, -20, 0, -24, 12, 0, 24, 35, 0, 0, 30, 0, 24, 24, 0, 42, -16, 0, -33, -45, 0, 0, 0, 0, 58, -72, 0, 42, 40, 0, 39, 14, 0, -51, 64, 0, 3, 3, 0, 12, 57, 0, -24, 9, 0, 12, -30, 0, 0, -14, 0, -5, -17, 0, 0, 43, 0, -42, -10, 0, 9, 0, 0, -37, -4, 0, 8, -64, 0, -32, 4, 0, 56, 78, 0, -54, 8, 0, 60, 20, 0, -2, 33, 0, -56, 10, 0, 0, 38, 0, -27, 0, 0, -30, 10, 0, -27, -21, 0, -28, 52, 0, -44, -14, 0, -24, 14, 0, 52, 6, 0, 4, -34, 0, -32, -2, 0, 12, -77, 0, 12, 18, 0, 24, 6, 0, 0, 6, 0, -5, 61, 0, -40, 16, 0, -35, -19, 0, 33, 0, 0, 28, -26, 0, -96, 3, 0, -26, -72, 0, 32, -2, 0, -63, 46, 0, -8, 32, 0, 33, 56, 0, -14, 15, 0, 0, 48, 0, -18, 21, 0, -15, -18, 0, 59, 10, 0, -5, 0, 0, 39, -8, 0, 61, 12, 0, 34, -12, 0, 1, -84, 0, 80, 50, 0, 2, -2, 0, -112, 0, 0, -6, 0, 0, 0, 33, 0, -10, -45, 0, -56, -2, 0, -3, 15, 0, -20, 0, 0, 8, -24, 0, 18, -4, 0, 28, 22, 0, 64, -12, 0, -9, 20, 0, -19, -31, 0, 23, -42, 0, 58, -9, 0, 0, -8, 0, -24, 1, 0, 45, 6, 0, 61, 16, 0, -63, 0, 0, -32, 32, 0, 8, -24, 0, 3, 24, 0, 14, 39, 0, 38, -9, 0, -15, -63, 0, 0, 18, 0, 24, 24, 0, 0, 2, 0, 6, 4, 0, 0, -45, 0, 12, 9, 0, 64, 0, 0, 57, -5, 0, -12, -16, 0, 43, -37, 0, -3, 18, 0, -24, -1, 0, -70, 0, 0, -10, 64, 0, -16, 13, 0, 0, 45, 0, 10, 26, 0, -30, 7, 0, -46, -28, 0, -33, 0, 0, -4, -18, 0, 19, 48, 0, 8, 45, 0, 33, 20, 0, 8, 4, 0, 12, -75, 0, -2, -24, 0, 19, 6, 0, 0, -27, 0, -48, 60, 0, -9, -16, 0, -21, -18, 0, -72, 0, 0, -32, 30, 0, 4, 29, 0, -9, -71, 0, 63, 20, 0, 0, 98, 0, -93, 16, 0, 6, 81, 0, 8, 8, 0, 0, -15, 0, 48, -12, 0, -10, 41, 0, 8, 33, 0, 12, 0, 0, 27, -47, 0, -3, -21, 0, -86, -10, 0, -47, 0, 0, 14, -16, 0, 12, 36, 0, 66, 11, 0, -37, -8, 0, 0, -6, 0, 48, 16, 0, 4, 21, 0, -24, -42, 0, -11, 0, 0, -15, -66, 0, 24, 39, 0, -36, -6, 0, -90, 32, 0, -4, 0, 0, -18, 3, 0, -24, 16, 0, 36, 48, 0, 0, -90, 0, -10, -21, 0, -7, -53, 0, 3, -46, 0, -45, 0, 0, 40, 18, 0, 4, 12, 0, 0, 32, 0, 14, -21, 0, -8, 18, 0, -64, -39, 0, -15, -14, 0, -20, -50, 0, 0, 6, 0, -4, 36, 0, -26, 48, 0, 4, -32, 0, 83, 0, 0, 26, -15, 0, -6, 0, 0, 27, -12, 0, 35, -8, 0, -48, -12, 0, 10, -50, 0, 23, 48, 0, -68, 3, 0, 0, -30, 0, -75, 70, 0, -3, -48, 0, -16, 48, 0, -20, 0, 0, 11, -8, 0, 36, 36, 0, 6, 10, 0, 45, -12, 0, 56, -46, 0, 9, 12, 0, -3, 12, 0, -24, 42, 0, 0, -36, 0, -28, 22, 0, 90, -3, 0, -34, -4, 0, 16, 39, 0, 0, 32, 0, -6, -27, 0, 13, 63, 0, 79, 9, 0, -3, 59, 0, 92, -10, 0, 14, -48, 0, -34, -21, 0, 0, 76, 0, 32, -37, 0, -40, 18, 0, -59, 22, 0, -4, 0, 0, 48, 36, 0, 7, -77, 0, 105, 4, 0, -8, 73, 0, 3, 5, 0, -72, 3, 0, 32, -62, 0, -23, -36, 0, 0, 21, 0, 42, 1, 0, 82, 18, 0, 30, -69, 0, -42, 0, 0, 56, 25, 0, 20, 8, 0, -8, 96, 0, 33, -93, 0, 30, 42, 0, 18, -37, 0, 60, -3, 0, 40, -21, 0, 0, -72, 0, 30, -10, 0, 29, -82, 0, 0, 4, 0, -2, 0, 0, -12, 56, 0, -21, 126, 0, -54, 0, 0, 12, 23, 0, 56, -20, 0, -11, -30, 0, 33, 66, 0, -42, 20, 0, 0, 15, 0, -2, -9, 0, 16, 0, 0, 9, -104, 0, -64, 0, 0, 28, -32, 0, 90, -25, 0, 8, 20, 0, -10, 15, 0, -6, 4, 0, 24, 15, 0, -12, -26, 0, 18, 28, 0, 0, 90, 0, 62, 36, 0, 8, 6, 0, 13, 0, 0, -11, 0, 0, 32, 34, 0, 48, -8, 0, -24, 19, 0, 19, -64, 0, 64, 6, 0, 62, -60, 0, 0, 58, 0, -21, -24, 0, 0, -15, 0, 0, 70, 0, 14, 20, 0, 4, 18, 0, -28, 0, 0, 43, -77, 0, 26, -41, 0, 16, 30, 0, -42, 13, 0, 69, -33, 0, -23, -12, 0, 18, 21, 0, -40, 21, 0, 0, 0, 0, 84, 11, 0, -54, -28, 0, 4, 48, 0, -17, 0, 0, 28, 22, 0, 29, 19, 0, -68, -75, 0, 36, -28, 0, 57, 44, 0, 80, -12, 0, -21, 21, 0, -24, -24, 0, 0, -16, 0, -6, -2, 0, -47, 15, 0, 6, 36, 0, -42, 0, 0, 12, 24, 0, 52, -40, 0, 5, -64, 0, -26, 2, 0, 20, 68, 0, 8, 90, 0, -28, 42, 0, 0, 45, 0, 13, -10, 0, 42, 38, 0, 11, -12, 0, 14, 2, 0, 24, 0, 0, 53, -5, 0, 2, -102, 0, 40, -18, 0, -48, 77, 0, 55, 12, 0, 50, 12, 0, 6, 37, 0, -11, -81, 0, 0, -45, 0, -26, -12, 0, 10, 36, 0, 28, 6, 0, 21, 0, 0, 6, 0, 0, -60, 16, 0, 2, -15, 0, -97, -24, 0, 13, 16, 0, -6, 14, 0, -36, 42, 0, -66, 4, 0, 0, -10, 0, 3, 27, 0, 3, -25, 0, 40, -42, 0, 60, 0, 0, -86, -24, 0, 12, 21, 0, 90, 16, 0, -20, 72, 0, 28, -15, 0, 0, 24, 0, 18, 68, 0, -62, -68, 0, 0, -16, 0, -72, -56, 0, -76, -24, 0, 6, 70, 0, 29, 0, 0, -11, -18, 0, 15, -12, 0, 6, -62, 0, 6, 9, 0, 0, 0, 0, -85, 8, 0, -50, 4, 0, -33, -38, 0, 0, 69, 0, -12, -14, 0, 21, 60, 0, 56, 9, 0, -9, 13, 0, -18, 0, 0, -16, 44, 0, -16, 72, 0, 48, 23, 0, 46, 90, 0, 1, 2, 0, -44, -48, 0, 5, 72, 0, 0, -12, 0, 37, -43, 0, 48, 10, 0, 8, 36, 0, 12, 0, 0, 24, 36, 0, 70, -60, 0, 6, -30, 0, 0, 4, 0, 84, -48, 0, -24, 3, 0, -26, 12, 0, 12, -24, 0, 0, -27, 0, -24, -30, 0, -6, -28, 0, -60, -16, 0, 4, 0, 0, -3, -36, 0, 12, -37, 0, -8, 0, 0, 20, 24, 0, -27, -4, 0, 81, 54, 0, -51, 24, 0, 33, 12, 0, 0, -50, 0, 10, -44, 0, 14, -42, 0, -10, 48, 0, -20, 0, 0, -4, -6, 0, -37, 27, 0, -22, 60, 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": "1003.2.a.c", "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], [3], [3], [0], [1], [-4], [0], [0], [-3], [0], [-1], [-1], [0], [7], [1], [0], [4], [-2], [0], [-4], [0], [0], [-3], [-3], [0], [4], [-5], [0], [1], [-3], [0], [0], [-7], [0], [-3], [3], [0], [4], [4], [0], [2], [-6], [0], [2], [4], [0], [0], [9], [0], [4], [9], [0], [3], [1], [0], [-10], [-4], [0], [7], [0], [0], [-4], [1], [0], [3], [4], [0], [-2], [0], [0], [-7], [-12], [0], [5], [1], [0], [-3], [-16], [0], [1], [-4], [0], [-12], [0], [0], [0], [2], [0], [6], [-7], [0], [-8], [-2], [0], [4]]}