# Stored data for newform 1521.2.a.e, downloaded from the LMFDB on 20 April 2024.
{"label": "1521.2.a.e", "space_label": "1521.2.a", "level": 1521, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543037937, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 279583322176284645, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [5, [-2, 1]], [7, [-4, 1]]], "qexp_display": "q+q^{2}-q^{4}+2q^{5}+4q^{7}-3q^{8}+2q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6084, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 12.145246147436746, "hecke_ring_index": 1, "level_radical": 39, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [1521, 1, [677, 847], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "0.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "1.925", "prec": 17}, {"__RealLiteral__": 0, "data": "0.144", "prec": 17}, {"__RealLiteral__": 0, "data": "4.763", "prec": 17}], "related_objects": ["EllipticCurve/Q/1521/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [13, 1]], "trace_display": [1, 0, 2, 4], "traces": [0, 1, 1, 0, -1, 2, 0, 4, -3, 0, 2, 4, 0, 0, 4, 0, -1, -2, 0, 0, -2, 0, 4, 0, 0, -1, 0, 0, -4, 10, 0, -4, 5, 0, -2, 8, 0, 2, 0, 0, -6, 6, 0, -12, -4, 0, 0, 0, 0, 9, -1, 0, 0, -6, 0, 8, -12, 0, 10, 12, 0, -2, -4, 0, 7, 0, 0, 8, 2, 0, 8, 0, 0, -2, 2, 0, 0, 16, 0, 8, -2, 0, 6, 4, 0, -4, -12, 0, -12, -2, 0, 0, 0, 0, 0, 0, 0, -10, 9, 0, 1, 18, 0, 0, 0, 0, -6, -12, 0, 2, 8, 0, -4, 6, 0, 0, -10, 0, 12, -8, 0, 5, -2, 0, 4, -12, 0, -16, -3, 0, 0, -4, 0, 0, 8, 0, 6, 6, 0, 12, -8, 0, 0, 0, 0, 20, -2, 0, -2, -6, 0, -4, 0, 0, 16, -8, 0, -18, 8, 0, 10, 0, 0, -8, -6, 0, 4, -8, 0, 0, -4, 0, 12, -6, 0, -4, -4, 0, -2, -4, 0, -10, 0, 0, 0, 4, 0, -8, 0, 0, 0, -8, 0, -18, -10, 0, -9, 18, 0, 8, 3, 0, 18, 40, 0, 12, 0, 0, 0, 0, 0, -20, 6, 0, -12, -24, 0, -16, 2, 0, -8, 0, 0, -4, 20, 0, 6, -20, 0, 10, 0, 0, -30, 14, 0, 0, -12, 0, -8, -24, 0, -10, 5, 0, 2, 18, 0, 0, 12, 0, -12, 12, 0, 0, -16, 0, -17, -26, 0, 8, 0, 0, -4, -24, 0, -12, 0, 0, -8, -22, 0, 12, 2, 0, 6, -4, 0, -10, 12, 0, -24, -10, 0, 12, 0, 0, 0, 24, 0, -13, 20, 0, 2, -6, 0, 24, -6, 0, -6, 0, 0, -48, -4, 0, 0, -4, 0, 16, -16, 0, -8, 0, 0, -6, -18, 0, -8, 26, 0, 40, 14, 0, 0, 0, 0, 0, -8, 0, -18, 0, 0, 16, -4, 0, -8, 16, 0, 18, 0, 0, 4, -16, 0, 8, 36, 0, -6, 12, 0, 26, -4, 0, 20, -2, 0, 0, 2, 0, -4, 24, 0, -19, -10, 0, 0, -4, 0, 16, 0, 0, 4, -24, 0, -26, -8, 0, 0, 0, 0, 24, 0, 0, -8, -16, 0, 32, -18, 0, 10, -22, 0, 0, -27, 0, 18, 16, 0, -38, 8, 0, 1, 22, 0, 0, -18, 0, 40, 8, 0, -34, 12, 0, 0, 48, 0, 8, 0, 0, 0, -4, 0, 10, -20, 0, 18, 2, 0, -8, 12, 0, -24, 0, 0, 34, -16, 0, -2, 0, 0, 32, -24, 0, 0, 4, 0, -4, -4, 0, 28, 22, 0, 24, -6, 0, -20, 0, 0, -2, 10, 0, 0, -38, 0, -4, -10, 0, 14, -12, 0, 32, 0, 0, -36, -48, 0, 0, 8, 0, -24, -24, 0, 0, -10, 0, -5, -20, 0, -12, 6, 0, 18, 12, 0, -20, 0, 0, 4, 0, 0, 24, 12, 0, 12, 8, 0, 36, 0, 0, 16, 10, 0, -8, -11, 0, -26, 0, 0, 0, 8, 0, 0, -18, 0, 44, 4, 0, -24, 8, 0, -23, -12, 0, 0, 0, 0, -24, -24, 0, -22, 36, 0, -30, 12, 0, -10, 4, 0, 4, -6, 0, -4, 0, 0, 32, -10, 0, -12, 18, 0, 0, -8, 0, -10, 12, 0, 12, 12, 0, 0, -34, 0, -4, 0, 0, 24, 0, 0, 46, -13, 0, -20, 16, 0, -24, 6, 0, -6, 28, 0, 0, 24, 0, -2, -26, 0, -16, 6, 0, 0, 40, 0, -38, -48, 0, 4, 10, 0, -16, 0, 0, -4, 0, 0, 2, 16, 0, -48, 22, 0, -24, 8, 0, 0, -8, 0, -19, -6, 0, 18, -4, 0, -20, -24, 0, 26, -32, 0, 0, 40, 0, -6, -2, 0, 40, 0, 0, 0, 8, 0, 48, 0, 0, 8, -6, 0, -8, -6, 0, 0, -28, 0, -30, 16, 0, -12, 0, 0, 0, 8, 0, 16, -8, 0, -14, 18, 0, 0, -22, 0, -40, 12, 0, -16, -12, 0, 12, 8, 0, 12, 0, 0, 24, 6, 0, 12, 24, 0, -12, 26, 0, 4, 34, 0, 0, 28, 0, -2, 72, 0, 26, 0, 0, 6, 0, 0, 0, 4, 0, 24, 24, 0, 0, -19, 0, 10, -10, 0, 8, 0, 0, -4, 24, 0, -30, 16, 0, 0, 32, 0, -32, -4, 0, -24, 48, 0, -12, -26, 0, 8, -48, 0, 8, 0, 0, 0, -8, 0, 22, 24, 0, 0, -10, 0, 8, 8, 0, -16, 0, 0, 30, 32, 0, 18, 10, 0, 4, 30, 0, -22, 0, 0, 0, 0, 0, -9, -36, 0, 32, -18, 0, 16, 24, 0, 0, -38, 0, -8, -46, 0, 0, -5, 0, 22, -8, 0, 0, 0, 0, -54, 30, 0, -8, -40, 0, 8, -16, 0, 0, -34, 0, -12, -22, 0, 0, 0, 0, 48, 4, 0, -34, 8, 0, 0, -18, 0, -16, 0, 0, -4, 48, 0, 71, 10, 0, 20, 0, 0, 20, 6, 0, 2, 0, 0, -30, -8, 0, 36, 46, 0, -44, 24, 0, 0, 16, 0, -12, 34, 0, 16, 32, 0, 0, -6, 0, 0, -48, 0, 10, 32, 0, -8, -58, 0, -44, 0, 0, 4, 48, 0, -64, -4, 0, 4, 0, 0, -8, -12, 0, 22, -40, 0, 12, 24, 0, -18, -20, 0, 12, 20, 0, 0, 40, 0, 16, -2, 0, -10, -16, 0, -48, 0, 0, -38, 0, 0, -2, -4, 0, 50, 30, 0, 0, -14, 0, -12, -16, 0, 26, 32, 0, 0, -14, 0, 0, -12, 0, -48, -60, 0, 0, 0, 0, 24, 30, 0, -16, 24, 0, -24, 24, 0, -15, 0, 0, 10, -36, 0, 52, -15, 0, -20, 60, 0, 48, -12, 0, 2, -42, 0, -8, -18, 0, 12, 16, 0, 36, -20, 0, 0, 0, 0, 16, -20, 0, 0, 16, 0, -26, 24, 0, 36, 0, 0, -24, -12, 0, 8, 0, 0, 6, 36, 0, 0, 18, 0, 80, 48, 0, 10, -12, 0, -22, -8, 0, 23, -6, 0, 0, 26, 0, 0, 16, 0, -18, 0, 0, -8, 4, 0, 24, 0, 0, -18, -24, 0, 0, 44, 0, 12, -42, 0, 24, 24, 0, 8, -40, 0, -16, -23, 0, 12, -6, 0, 16, 0, 0, 0, -40, 0, 30, -24, 0, -8, 20, 0, 12, 22, 0, 36, 0, 0, 0, -30, 0, -12, -32, 0, -20, -14, 0, 4, 12, 0, -58, 4, 0, -18, 30, 0, -72, 4, 0, 0, -16, 0, 0, 32, 0, 10, 42, 0, 72, -36, 0, 18, -8, 0, -2, 0, 0, 40, 0, 0, 16, 10, 0, 12, 0, 0, 46, 12, 0, -12, 0, 0, -40, 0, 0, -34, -16, 0, -32, -4, 0, 0, 20, 0, -8, -24, 0, 0, 48, 0, 34, 46, 0, 13, 0, 0, 0, -60, 0, 16, 28, 0, 28, -24, 0, 2, -32, 0, 52, 6, 0, 28, 0, 0, -48, 0, 0, -24, 50, 0, 0, 10, 0, -26, -36, 0, 60, -16, 0, 18, 30, 0, -48, 0, 0, 40, 8, 0, -34, -38, 0, 48, -20, 0, 0, 12, 0, 10, -24, 0, -2, -16, 0, 0, 38, 0, 0, 4, 0, 0, -48, 0, -9, 2, 0, -16, -54, 0, -16, -16, 0, 22, 0, 0, -22, -24, 0, 24, 4, 0, 24, 0, 0, -8, -120, 0, 2, -19, 0, 6, -16, 0, 24, 54, 0, -4, -36, 0, 0, -20, 0, -8, 0, 0, -40, -26, 0, -32, -24, 0, 0, 0, 0, -40, 34, 0, -52, -34, 0, -2, -4, 0, -52, 40, 0, 0, -34, 0, 28, 0, 0, 8, 16, 0, 2, 48, 0, 0, -54, 0, -16, 24, 0, -6, -44, 0, -32, -8, 0, 30, 0, 0, -48, 0, 0, -28, 40, 0, 22, -30, 0, -16, 6, 0, 8, -4, 0, 0, -24, 0, 48, 0, 0, 24, -32, 0, 0, -16, 0, -8, -16, 0, -44, -14, 0, -18, 0, 0, -72, 0, 0, -22, 24, 0, 0, -40, 0, 4, -50, 0, 0, 16, 0, -12, 0, 0, -33, 12, 0, -8, 18, 0, -48, -60, 0, 0, 72, 0, 38, 24, 0, 18, -20, 0, 0, -12, 0, 24, 0, 0, 32, -12, 0, -26, -64, 0, 20, 12, 0, 34, 0, 0, -20, 0, 0, -12, 22, 0, -8, 2, 0, 72, 24, 0, 0, 26, 0, 0, 90, 0, -52, 2, 0, 0, -12, 0, -26, 0, 0, 12, 54, 0, 48, -24, 0, 24, -32, 0, -16, 0, 0, 19, -26, 0, 40, 30, 0, -10, 44, 0, -18, 8, 0, 0, 0, 0, 20, 4, 0, 24, 0, 0, -12, -30, 0, -16, 0, 0, -44, 0, 0, 32, -12, 0, -80, -32, 0, -12, -42, 0, -68, 24, 0, 48, 24, 0, 70, -12, 0, 26, 10, 0, 0, 24, 0, -48, 52, 0, 0, 8, 0, 0, -96, 0, 24, 0, 0, -8, -16, 0, 4, 22, 0, -24, 12, 0, -36, 0, 0, -10, 4, 0, 2, 8, 0, 24, 48, 0, 28, 16, 0, 0, 32, 0, -60, 30, 0, -32, 0, 0, -16, 54, 0, 10, 0, 0, -6, 4, 0, 10, 54, 0, 0, 22, 0, 0, 48, 0, -16, 0, 0, 0, -12, 0, -4, 45, 0, -36, 36, 0, 0, 32, 0, -54, 0, 0, -56, -16, 0, 24, 24, 0, 52, 0, 0, 38, -80, 0, -24, -24, 0, -46, 80, 0, -62, 0, 0, -7, 62, 0, 40, -22, 0, -8, -48, 0, 10, 0, 0, 0, -6, 0, 0, -18, 0, 30, -20, 0, -10, -8, 0, -120, 0, 0, 40, -8, 0, -16, 56, 0, 0, 0, 0, 34, -6, 0, -24, -36, 0, -22, 24, 0, 0, 0, 0, 0, 20, 0, 0, -48, 0, 4, 32, 0, 38, -34, 0, -8, -16, 0, -48, 0, 0, -18, -28, 0, 10, -16, 0, 0, -96, 0, -8, 4, 0, 48, 0, 0, -5, 71, 0, -10, 36, 0, -40, 60, 0, 0, 0, 0, -2, 20, 0, -30, -42, 0, 28, -2, 0, 0, 0, 0, -32, -30, 0, 8, -22, 0, 120, 12, 0, 46, 16, 0, -36, -44, 0, 72, -42, 0, -56, 0, 0, 16, -72, 0, 0, -12, 0, -34, 2, 0, 24, 48, 0, 32, 0, 0, 62, 0, 0, -2, 52, 0, -24, 0, 0, -48, 0, 0, 14, 10, 0, -32, 48, 0, 56, 40, 0, -58, -72, 0, -4, -44, 0, 0, -20, 0, 0, -4, 0, 48, 0, 0, -30, -64, 0, 4, 0, 0, -4, 12, 0, 0, -44, 0, -22, -8, 0, -68, -32, 0, 48, -22, 0, -40, -104, 0, 38, 12, 0, -24, -38, 0, 0, -6, 0, -20, -60, 0, 18, 12, 0, 60, 0, 0, 24, 0, 0, 40, -24, 0, 2, 16, 0, 2, -48, 0, 4, -30, 0, -16, 32, 0, -32, -48, 0, 0, -96, 0, 0, 38, 0, 0, -16, 0, 101, -2, 0, 4, -4, 0, -48, 70, 0, 30, 0, 0, 82, 0, 0, -42, -52, 0, 40, 12, 0, -16, -16, 0, 34, 26, 0, -32, -6, 0, -20, 0, 0, -14, -88, 0, 0, 0, 0, 60, -74, 0, 8, 48, 0, -60, 48, 0, 48, 0, 0, 0, 18, 0, -24, 8, 0, 30, 84, 0, 0, -16, 0, 72, -66, 0, -32, 24, 0, 24, 0, 0, -12, -15, 0, 0, -16, 0, 0, 30, 0, -36, -36, 0, -2, 52, 0, -5, 0, 0, -40, 20, 0, 60, 80, 0, -44, 48, 0, 12, 50, 0, 0, -10, 0, -42, 0, 0, 0, -8, 0, -54, -12, 0, 0, -12, 0, 16, -40, 0, -16, 36, 0, 20, 26, 0, -8, 0, 0, 0, 28, 0, 48, 16, 0, -28, -76, 0, -32, 0, 0, 16, -40, 0, -22, -26, 0, -24, 58, 0, -8, 12, 0, 0, 4, 0, 44, -24, 0, -36, 54, 0, -4, -8, 0, 0, 0, 0, 6, 6, 0, -36, 0, 0, -52, 0, 0, 18, -44, 0, 46, 80, 0, 16, 0, 0, 16, -10, 0, -12, 48, 0, 0, -22, 0, 8, -68, 0, 0, 45, 0, -6, -24, 0, 6, 0, 0, 78, -10, 0, 0, 0, 0, 16, 16, 0, 96, -18, 0, 0, 66, 0, 0, -24, 0, 4, -4, 0, -32, 24, 0, 0, -10, 0, -20, 18, 0, -24, 8, 0, 26, 0, 0, -44, 0, 0, -8, 4, 0, -42, -36, 0, -32, 24, 0, 72, 20, 0, -108, -8, 0, -40, 16, 0, -58, -16, 0, 23, -20, 0, 0, 36, 0, -6, -72, 0, 24, 16, 0, 0, 78, 0, 44, 0, 0, -40, -16, 0, 86, 30, 0, 24, 18, 0, 36, 40, 0, 20, 0, 0, 64, 12, 0, 66, -66, 0, 0, -36, 0, 0, 32, 0, -30, 0, 0, 30, 68, 0, 72, -36, 0, -32, 0, 0, -36, -20, 0, 6, 0, 0, 40, -4, 0, 12, 24, 0, 0, -58, 0, -4, 32, 0, -24, -6, 0, 30, 64, 0, 0, -72, 0, 12, 0, 0, 80, 0, 0, -16, -64, 0, -47, 0, 0, -32, -30, 0, 8, 30, 0, 42, 104, 0, -14, 72, 0, -12, 2, 0, 8, -18, 0, -8, 0, 0, 160, -2, 0, 0, 90, 0, 40, 56, 0, 0, 92, 0, 44, 16, 0, 30, 0, 0, -40, -12, 0, 0, 48, 0, -4, 46, 0, -12, 0, 0, 8, -36, 0, 0, 28, 0, 74, -40, 0, 0, 14, 0, 0, 34, 0, -16, 72, 0, -2, -32, 0, 4, -4, 0, -8, 0, 0, 20, 80, 0, -30, -8, 0, -72, 62, 0, 0, 0, 0, 48, 0, 0, -76, 34, 0, -46, 26, 0, 80, 39, 0, 0, -8, 0, 64, 0, 0, -20, -80, 0, 0, -16, 0, 28, 0, 0, -12, 28, 0, 24, 26, 0, -24, -10, 0, -32, -36, 0, -26, 52, 0, 18, 64, 0, 32, -28, 0, 0, 80, 0, 0, -48, 0, 0, -22, 0, 72, -72, 0, 50, -24, 0, -96, 0, 0, 14, 0, 0, 72, 26, 0, -36, 0, 0, 30, 60, 0, 16, 66, 0, -16, 6, 0, 30, -64, 0, -58, -48, 0, 0, -2, 0, -48, -40, 0, 8, 80, 0, -31, -34, 0, 38, 0, 0, 40, 144, 0, -20, -12, 0, 0, 0, 0, 4, 54, 0, 72, -10, 0, -24, -56, 0, 10, -2, 0, 16, 48, 0, 0, 0, 0, 38, -24, 0, -78, 0, 0, 12, 54, 0, 104, 0, 0, -48, 48, 0, -32, -9, 0, -2, -16, 0, 24, -48, 0, -54, 84, 0, 0, -16, 0, 80, -40, 0, -20, -22, 0, 0, -8, 0, -38, -22, 0, 24, -6, 0, 16, 8, 0, 4, 0, 0, 0, 24, 0, 0, 0, 0, 0, 8, 0, -120, 48, 0, -80, 2, 0, 19, -12, 0, 92, 18, 0, -16, 0, 0, 0, 24, 0, 18, 96, 0, 16, 4, 0, -36, 40, 0, -54, 0, 0, 20, -18, 0, -76, 40, 0, 0, -84, 0, 12, -40, 0, -78, -144, 0, -60, 32, 0, -24, 64, 0, 20, 0, 0, 0, 42, 0, 0, -120, 0, 34, -16, 0, 30, -52, 0, -22, 0, 0, 56, 2, 0, -4, 8, 0, 64, -52, 0, -40, -16, 0, 0, 0, 0, -34, 36, 0, -20, 28, 0, 0, 0, 0, 0, -8, 0, 16, -48, 0, -82, 2, 0, -48, -54, 0, 0, 0, 0, -54, 0, 0, -36, -16, 0, 8, 62, 0, -104, 6, 0, -44, 88, 0, -54, -32, 0, 8, -30, 0, 24, 42, 0, 0, 0, 0, -96, -48, 0, 0, -42, 0, 16, 28, 0, 40, 0, 0, 0, 22, 0, 30, -46, 0, 4, -48, 0, 6, -40, 0, 96, 8, 0, 20, 54, 0, -40, 0, 0, -24, 16, 0, 0, 48, 0, 0, 36, 0, -60, 8, 0, -32, 12, 0, 54, 0, 0, -48, -64, 0, -56, 8, 0, -16, 16, 0, 22, -44, 0, 14, -22, 0, 72, -54, 0, 0, 68, 0, -4, -72, 0, 0, -60, 0, -52, 22, 0, 24, -40, 0, 10, 0, 0, 40, 0, 0, 4, -20, 0, -50, -88, 0, -2, 0, 0, 48, -90, 0, 52, 12, 0, 0, 8, 0, 0, -33, 0, -12, -30, 0, 0, -24, 0, 18, 48, 0, 58, -48, 0, -84, 30, 0, 0, 0, 0, 72, 8, 0, 48, 38, 0, -24, 64, 0, 92, 6, 0, -20, 16, 0, 0, 0, 0, -36, 30, 0, -152, -24, 0, 0, 0, 0, 36, 32, 0, 12, 50, 0, 32, -78, 0, -64, 0, 0, -46, 20, 0, 4, -10, 0, 0, -34, 0, 0, 88, 0, -17, -20, 0, 0, -100, 0, 24, -68, 0, 22, 12, 0, 0, -8, 0, 6, -6, 0, -104, -72, 0, 24, 0, 0, 50, 0, 0, -26, -38, 0, 16, 0, 0, 90, 12, 0, -68, -52, 0, -10, 32, 0, -68, 0, 0, -12, -8, 0, -6, -26, 0, 0, -30, 0, -136, 4, 0, 54, 0, 0, 0, 48, 0, -72, 0, 0, 0, -24, 0, -32, -40, 0, -96, -16, 0, 0, 92, 0, 32, 57, 0, -26, 108, 0, -96, 40, 0, 10, 6, 0, 0, 10, 0, 44, 64, 0, 32, -18, 0, -8, 26, 0, 0, 0, 0, 0, -48, 0, -78, 20, 0, 12, 0, 0, 16, -24, 0, 0, 8, 0, 180, -12, 0, 30, -16, 0, 56, -48, 0, 0, 4, 0, 12, -44, 0, 0, 0, 0, 40, -32, 0, -12, 0, 0, 70, -80, 0, 32, 34, 0, -88, -4, 0, -42, 36, 0, -52, -68, 0, 72, -66, 0, 16, -48, 0, 24, 8, 0, 0, 70, 0, 12, 48, 0, 0, 78, 0, 10, 0, 0, -18, 0, 0, 8, -12, 0, 80, 48, 0, 52, -48, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "39.2.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], [2], [0], [4], [-3], [0], [2], [4], [0], [0], [4], [0], [-1], [-2], [0], [0], [-2], [0], [4], [0], [0], [-1], [0], [0], [-4], [10], [0], [-4], [5], [0], [-2], [8], [0], [2], [0], [0], [-6], [6], [0], [-12], [-4], [0], [0], [0], [0], [9], [-1], [0], [0], [-6], [0], [8], [-12], [0], [10], [12], [0], [-2], [-4], [0], [7], [0], [0], [8], [2], [0], [8], [0], [0], [-2], [2], [0], [0], [16], [0], [8], [-2], [0], [6], [4], [0], [-4], [-12], [0], [-12], [-2], [0], [0], [0], [0], [0], [0], [0], [-10], [9], [0], [1]]}