# Stored data for newform 1950.2.a.u, downloaded from the LMFDB on 19 April 2024. {"label": "1950.2.a.u", "space_label": "1950.2.a", "level": 1950, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580966302, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1512879173221698975, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-4, 1]], [11, [-2, 1]], [17, [-4, 1]], [23, [6, 1]], [31, [4, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{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": 7800, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 15.570828394149675, "hecke_ring_index": 1, "level_radical": 390, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [1950, 1, [1301, 1327, 301], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "0.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "1.850", "prec": 17}, {"__RealLiteral__": 0, "data": "0.153", "prec": 17}, {"__RealLiteral__": 0, "data": "4.442", "prec": 17}], "related_objects": ["EllipticCurve/Q/1950/u"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, -1], [13, -1]], "trace_display": [1, -1, 0, 4], "traces": [0, 1, 1, -1, 1, 0, -1, 4, 1, 1, 0, 2, -1, 1, 4, 0, 1, 4, 1, 2, 0, -4, 2, -6, -1, 0, 1, -1, 4, -2, 0, -4, 1, -2, 4, 0, 1, -6, 2, -1, 0, -6, -4, 8, 2, 0, -6, 8, -1, 9, 0, -4, 1, 10, -1, 0, 4, -2, -2, -14, 0, 10, -4, 4, 1, 0, -2, 4, 4, 6, 0, 8, 1, 10, -6, 0, 2, 8, -1, -8, 0, 1, -6, 12, -4, 0, 8, 2, 2, -18, 0, 4, -6, 4, 8, 0, -1, 6, 9, 2, 0, -14, -4, 6, 1, 0, 10, -8, -1, 12, 0, 6, 4, -12, -2, 0, -2, 1, -14, 16, 0, -7, 10, 6, -4, 0, 4, -18, 1, -8, 0, 0, -2, 8, 4, 0, 4, 2, 6, 16, 0, -8, 8, 2, 1, 0, 10, -9, -6, 0, 0, 8, 2, 4, 8, 0, -1, -10, -8, -10, 0, -24, 1, -4, -6, 0, 12, 0, -4, 1, 0, 2, 8, 10, 2, 0, 2, 14, -18, 0, 0, 6, 4, -10, -6, 0, 4, 8, 8, -4, 0, 0, -1, 6, 6, 0, 9, 26, 2, 24, 0, -4, -14, -8, -4, 0, 6, -6, 1, 4, 0, -28, 10, -8, -8, 0, -1, -16, 12, -10, 0, 4, 6, -16, 4, 0, -12, 12, -2, -16, 0, -8, -2, -4, 1, 0, -14, 8, 16, -12, 0, -30, -7, -1, 10, 0, 6, 2, -4, -12, 0, -12, 4, -12, -18, 0, 1, -12, -8, -24, 0, -2, 0, -10, -2, 0, 8, 18, 4, -14, 0, 16, 4, -4, 2, 0, 6, 2, 16, -4, 0, -18, -8, -4, 8, 0, 2, -24, 1, -1, 0, -6, 10, -14, -9, 0, -6, -2, 0, -6, 0, 32, 8, 14, 2, 0, 4, 28, 8, -6, 0, 8, -1, 8, -10, 0, -8, -30, -10, -4, 0, 8, -24, 8, 1, 0, -4, -12, -6, 32, 0, 18, 12, -6, 0, 0, -4, -32, 1, 12, 0, -8, 2, 8, 8, 0, 10, -24, 2, -28, 0, -1, 2, -26, 14, 0, -18, -16, 0, 20, 0, -15, 6, 7, 4, 0, -10, 22, -6, -6, 0, 40, 4, -2, 8, 0, 8, -2, -4, 26, 0, 18, 0, -12, -1, 0, 6, 8, 6, -26, 0, -24, 9, 0, 26, 0, 2, 6, 24, -8, 0, -18, -4, -4, -14, 0, -8, -12, -4, -2, 0, -2, 6, -56, -6, 0, 1, -16, 4, 16, 0, 28, -28, 8, 10, 0, -8, 40, -8, -2, 0, -8, -1, 0, -16, 0, 12, -12, -10, 32, 0, 9, 4, 8, 6, 0, -16, 0, 4, 6, 0, -12, -12, -8, 12, 0, -2, -26, -16, -4, 0, -4, -8, -36, -2, 0, -4, -16, 1, 16, 0, 10, -14, 16, 8, 0, 16, 10, -12, -12, 0, -6, -30, 24, -7, 0, -1, -40, 10, 4, 0, 8, 6, -8, 2, 0, -4, 32, -12, 30, 0, 0, -12, 18, 4, 0, -12, -1, -18, -16, 0, 40, 1, -2, -12, 0, -8, 16, -24, -10, 0, 38, -2, 8, 0, 0, -10, -16, -2, 13, 0, -14, 8, -6, 18, 0, 4, 0, -14, 18, 0, -8, 16, -6, 4, 0, -4, 44, 2, 10, 0, -4, 6, -32, 2, 0, 16, 14, -4, 8, 0, -8, -18, -16, -8, 0, -4, 4, 8, -42, 0, -36, 2, 0, -24, 0, 1, 26, -1, -6, 0, 48, -6, 20, 10, 0, -14, 36, -9, -8, 0, -26, -6, 14, -2, 0, 0, -24, -6, -16, 0, -10, 32, 4, 8, 0, 14, 18, 2, 8, 0, 8, 4, 26, 28, 0, 8, -34, -6, 42, 0, 6, 8, -72, -1, 0, 8, -4, -10, -24, 0, -32, -8, 28, -30, 0, -10, 9, -4, 8, 0, -2, 8, -20, -24, 0, 8, -6, 1, -28, 0, 16, -4, -26, -12, 0, -6, 10, 32, 40, 0, 24, 18, -4, 12, 0, -6, 12, 0, 16, 0, 20, -4, 12, -32, 0, 1, 22, 12, 24, 0, -12, -8, 12, 2, 0, 8, 16, 8, 10, 0, 2, 10, 8, -24, 0, 2, -24, -28, 4, 0, -30, -1, -12, 2, 0, -26, -56, 14, -32, 0, -8, -18, 24, -16, 0, 0, 12, 20, 24, 0, 24, -15, 30, 6, 0, 7, 14, 4, 1, 0, 32, -10, -2, 22, 0, -6, 8, -6, -2, 0, -2, 40, -4, 4, 0, -2, 12, 8, -32, 0, 48, 8, 12, -2, 0, -4, -22, 26, 12, 0, 14, 18, 48, 0, 0, -12, -14, -1, -22, 0, 12, 6, 14, 8, 0, 6, 24, -26, -12, 0, 16, -24, 2, 9, 0, 0, -28, 26, 10, 0, -48, 2, 10, 6, 0, 24, 34, -8, 32, 0, -18, -18, 20, -4, 0, -4, 14, -14, 14, 0, -2, -8, -16, -12, 0, -4, 16, -2, 4, 0, -12, -2, 26, 6, 0, -56, -12, -6, 42, 0, -2, 1, 36, -16, 0, 4, 4, 16, 16, 0, -25, 28, 18, -28, 0, 8, -28, 10, 4, 0, 36, -8, -42, 40, 0, -8, -40, -2, -4, 0, 24, -8, -24, -1, 0, 0, 1, -16, -16, 0, 4, 12, 6, -12, 0, -10, -30, 32, 14, 0, -46, 9, 48, 4, 0, 8, -6, 6, -72, 0, 2, -16, 16, 0, 0, 4, 6, 6, 8, 0, 40, -12, -32, -12, 0, -8, -32, 12, -14, 0, -32, -2, 24, -26, 0, -16, 0, -4, -24, 0, -28, -4, 8, -8, 0, -36, 6, -2, 46, 0, 18, -4, -8, -16, 0, 1, 16, 16, -8, 0, 40, 10, 36, -14, 0, 16, 12, 8, 10, 0, 30, 16, -48, 10, 0, -12, 4, -12, 8, 0, -15, -6, -8, -30, 0, 24, -28, -7, -8, 0, -28, -1, 64, -40, 0, 10, 42, 4, -36, 0, 12, 8, 4, 6, 0, -8, -32, 2, -48, 0, 32, -4, -18, 32, 0, -12, 38, 30, 6, 0, 8, 0, -56, -12, 0, 18, 20, 4, -30, 0, 32, -12, 2, -1, 0, -18, -12, -16, -42, 0, -40, 40, 8, 1, 0, -2, -8, -12, -8, 0, 16, -8, -10, 16, 0, -24, 40, -10, -64, 0, 24, 38, 0, -2, 0, 8, 28, 0, 50, 0, -10, -10, 1, -16, 0, -2, 32, 13, 26, 0, 0, -14, -26, 8, 0, -6, 12, 18, -14, 0, 16, 4, 12, 0, 0, -14, -20, 18, 12, 0, -48, -8, 15, 16, 0, -6, -8, 4, -7, 0, -56, -4, 50, 44, 0, 2, 22, 10, -40, 0, -22, -4, 36, 6, 0, -32, 6, 2, 18, 0, -28, 16, -40, 14, 0, -4, 38, 8, 2, 0, -28, -8, -28, -18, 0, -16, -54, -8, 6, 0, 2, -4, 12, 4, 0, 8, -26, -42, 16, 0, -16, -36, -18, 2, 0, 0, 24, -24, 12, 0, -20, 1, -28, 26, 0, -1, -18, -6, 20, 0, -8, 48, -36, -6, 0, 20, 26, 10, 0, 0, -20, -14, 24, 36, 0, -9, -16, -8, 0, 0, 48, -26, 4, -6, 0, 14, -36, -2, 12, 0, -6, 0, 68, -24, 0, -6, 8, -16, 24, 0, 62, -10, 18, 32, 0, 4, 32, 8, 4, 0, 40, 14, 22, 18, 0, 2, 54, 8, -60, 0, 12, 8, 18, 4, 0, 26, 2, 28, -12, 0, 8, 8, 2, -34, 0, -6, -22, 42, 56, 0, 40, 6, -24, 8, 0, -72, -16, -1, -14, 0, 16, 8, 0, -4, 0, -10, -16, -24, -6, 0, 6, -32, -28, -8, 0, 28, 24, -30, -8, 0, 24, -10, 8, 9, 0, -4, 22, 8, -12, 0, -40, -2, 16, 8, 0, -20, 2, -24, 6, 0, 48, 8, 8, -6, 0, 1, -8, -28, 0, 0, 42, 16, 34, -4, 0, -26, -36, -12, 32, 0, 12, -6, -14, 10, 0, 32, -32, 40, 60, 0, -62, 24, -9, 18, 0, -4, -22, 12, -8, 0, -36, -6, -32, 12, 0, 0, 0, 16, 6, 0, 0, 20, -32, -4, 0, 12, -6, -32, 16, 0, 24, 1, 12, 22, 0, 12, 84, 24, 8, 0, 14, -12, -16, -8, 0, 12, 60, 2, -1, 0, 26, 8, 46, 16, 0, 8, 4, 10, 104, 0, 10, 2, 4, 10, 0, 8, 20, -24, 36, 0, -8, 2, 96, -24, 0, -28, -36, 4, -52, 0, 16, -30, -60, -1, 0, -12, -16, 2, -30, 0, 48, -26, -10, -56, 0, 14, 12, -32, -16, 0, -18, -8, 32, -18, 0, 24, -20, -16, 18, 0, -10, 0, 0, 12, 0, 20, 12, 24, -16, 0, 0, 24, 6, -15, 0, 30, -10, 6, -24, 0, -6, 7, 14, 14, 0, 4, -32, 1, 60, 0, 40, 32, 16, -10, 0, -2, -4, 22, -12, 0, -32, -6, -8, 8, 0, -6, -112, -2, 8, 0, 18, -2, 28, 40, 0, -4, 32, 4, -50, 0, -32, -2, -10, 12, 0, 8, -30, -32, 24, 0, -16, 48, 0, 8, 0, 12, 4, -2, -18, 0, 48, -4, -72, -22, 0, 26, 36, 12, -36, 0, 1, 14, -28, 18, 0, 48, 16, 0, 32, 0, 40, -12, -40, -14, 0, -1, -20, -22, 2, 0, -24, 12, -10, 6, 0, 14, 16, 8, -24, 0, -16, 6, 42, 24, 0, -26, 10, -12, -48, 0, -64, 16, -38, -24, 0, 2, -32, 9, -8, 0, 54, 0, -7, -28, 0, 26, 24, 10, 66, 0, 16, -48, 54, 2, 0, 10, -13, 6, 48, 0, -48, 24, 14, 34, 0, -8, -58, 32, 6, 0, -6, -18, -64, -18, 0, 20, 20, -4, -2, 0, 0, -4, -30, 14, 0, -14, -18, 14, -30, 0, -38, -2, 8, -8, 0, -16, -4, -12, 6, 0, -16, -4, -48, 16, 0, -2, 18, 4, 0, 0, -44, -12, -40, -2, 0, 26, -10, 6, 24, 0, -18, -56, 4, -12, 0, -6, -62, 42, 32, 0, 16, -2, 2, 1, 0, 36, -12, -16, 32, 0, -14, 4, -48, 4, 0, 16, -8, 16, -60, 0, -5, -25, 8, 28, 0, 18, -120, -28, 16, 0, -36, 8, -62, -28, 0, 10, 38, 4, -12, 0, -4, 36, 0, -8, 0, -42, 42, 40, 44, 0, 28, -8, 36, -40, 0, -2, -56, -4, 0, 0, -54, 24, -28, -8, 0, -24, -20, -1, 8, 0, -26, 0, 62, 1, 0, -16, 6, -16, -48, 0, 2, 4, -48, 12, 0, 6, 68, -12, -20, 0, 24, -10, -58, -30, 0, 32, -48, 14, -56, 0, -36, -46, -48, 9, 0, 48, 8, 4, -20, 0, -48, 8, 26, -6, 0, 6, 28, -72, -14, 0, 2, 2, 20, -16, 0, 16, 44, 0, -16, 0, 24, 4, -8, 6, 0, 6, 16, 8, -48, 0, 30, 40, 10, -12, 0, -32, 16, -12, -4, 0, -60, -8, -54, -32, 0, 12, 48, -14, -32, 0, -18, -32, -18, -2, 0, 24, -8, -26, 56, 0, -68, -16, -8, 0, 0, -4, 0, -24, -26, 0, -40, -28, 12, -4, 0, 8, 74, -8, 21, 0, 34, -36, 48, 6, 0, -2, -42, 46, 2, 0, -48, 18, -6, -4, 0, -8, -20, -16, 72, 0, 24, 1, 20, 16, 0, 16, -10, -8, 28, 0, 4, 40, -56, 10, 0, 36, 24, -14, 2, 0, -40, 16, 32, 12, 0, 8, 64, 10, -28, 0, 34, 30, 20, 16, 0, -48, -16, 10, -72, 0, -9, -12, 2, 4, 0, -12, -8, 8, -28, 0, -48, -15, 2, -6, 0, -8, -48, -30, 20, 0, 30, 24, 34, -28, 0, -7, 0, -8, 8, 0, 6, -28, -8, -1, 0, 64, 28, -40, 54, 0, 40, 10, -16, 42, 0, 4, 12, -36, 26, 0, -60, 12, 8, 8, 0, 4, -72, 6, 0, 0, -10, -8, -26, -32, 0, 2, -40, -48, 12, 0, -16, 32, -24, -4, 0, -18, -28, 32, 4, 0, 12, -12, -56, 38, 0, 30, 46, 6, 40, 0, -12, 8, 12, 0, 0, -56, -16, -12, -54, 0, 40, 18, -20, 20, 0, 4, -22, -30, -12, 0, 64, 32, -4, -12, 0, 2, 32, -1, 34, 0, -22, -18, -16, -12, 0, -16, -24, -42, 36, 0, -10, -40, 12, 40, 0, 8, 108, 1, -12, 0, -56, -2, -34, -8, 0, -12, -28, -8, -16, 0, -16, 16, 42, -8, 0, -10, -10, 16, -72, 0, 24, -24, -2, 40, 0, -10, -16, -64, -8, 0, 42, 24, 36, 38, 0, 0, -24, -2, -42, 0, 24, 8, -24, 28, 0, 0, -4, 50, -54, 0, 0, -10, 30, -10, 0, 1, 72, -16, 12, 0, -40, -2, -54, 32, 0, 13, -20, 26, -4, 0, 56, 0, 12, -14, 0, -26, 32, 8, 6, 0, -60, -6, 8, 12, 0, 18, -38, -14, -24, 0, -46, 16, 28, 4, 0, 12, -24, 0, 112, 0, -12, -14, -30, -20, 0, 18, -24, 12, -72, 0, 50, -48, -24, -8, 0, 15, 52, 16, -30, 0, 0, -6, -60, -8, 0, 4, 32, -7, -22, 0, -14, -56, 84, -4, 0, 50, -1, 44, 48, 0, 32, 2, -32, 22, 0, 10, 1, -40, 2, 0, -32, -22, -36, -4, 0, 36, 18, 6, 17, 0, -8, -32, 66, 6, 0, 2, 2, 18, -120, 0, 4, -28, 2, 16, 0, -40, 0, 14, 4, 0, -36, -4, -16, 38, 0, 8, 46, 2, 16, 0, -12, -28, -44, -8, 0, -28, 32, -18, 10, 0, -10, -16, -48, -54, 0, -8, -60, 6, -12, 0, 32, 2, -40, -4, 0, 12, -84, 4, -52, 0, 22, 8, 54, -26, 0, -42, -12, 16, 80, 0, 38, -16, -14, -36, 0, -18, 62, 2, -48, 0, 16, 0, 34, 24, 0, -24, -48, 12, -14, 0, 14, -20, 72, 1, 0, -28, 22, 26, -36, 0, -40, -1, -12, -18, 0, -6, 72, 20, -14, 0, -56, -8, 84, 48, 0, -36, 0, -6, 8, 0, -24, 20, 34, 26, 0, 10, 12, 0, -44, 0, 22, -20, -16, -14, 0, 24, 44, 36, -2, 0, 40, -9, 6, -16, 0, -8, -50, 0, -128, 0, 28, 48, 64, -26, 0, 4, -10, -6, -36, 0, -22, 14, 48, -36, 0, -2, 82, 12, -10, 0, 44, -6, 34, 0, 0, 68, -32, -24, 38, 0, -34, -6, 36, 8, 0, -16, -32, 24, 40, 0, -31, 62, 18, -10, 0, 18, -24, 32, -20, 0, -14, 4, -36, 32, 0, 8, 48, 4, 84, 0, -14, 40, 4, 14, 0, 22, -14, 18, -96, 0, 8, 2, 2, 54, 0, 8, 50, -60, 16, 0, 42, 12, -112, 8, 0, 18, -6, 4, 32, 0, -16, 26, -32, 2, 0, 28, -4, -12, 30, 0, 48, 8, 12, 8, 0, 2, -12, -34, -26, 0, -104, -6, -4, -22, 0, 42, -30, 56, -24, 0, 12, 40, 0, 6, 0, -24, -42, 8, 0, 0, 80, -72, 2, -16, 0, -1, 24, -14, -36, 0, -60, 16, 72, 8, 0, 0, -72, -4, 6, 0, -4, -10, 80, -16, 0, -24, -16, -6, -32, 0, 26, 6, 25, -32, 0, -28, -60, -8, -18, 0, 12, 28, 0, 24, 0, -30, -112, -8, 64, 0, 28, 24, -36, -10, 0, 8, -4, 9, 86, 0, 56, -4, -36, 22, 0, 8, -22, -12, 42, 0, 26, -40, -8, -2, 0, 16, 32, 8, 88, 0, 40, -20, -48, 2, 0, -24, 4, 6, -18, 0, 36, 48, -24, 8, 0, 8, 24, -6, 24, 0, -40, 1, 18, -8, 0, -28, 90, 0, 72, 0, -1, 42, 4, 16, 0, 34, 16, -4, 14, 0, -8, -26, -4, -36, 0, -12, 84, 32, -6, 0, 72, 12, 80, -6, 0, -14, -48, 10, -24, 0, 30, 32, -38, -32, 0, 40, -14, 60, -8, 0, 32, -62, 46, 24, 0, -9, -72, 18, -48, 0, -60, -4, 104, -22, 0, 12, 82, -8, -62, 0, 6, -36, 4, -6, 0, -32, 72, 12, -40, 0, 0, 0, -2, 0, 0, 16, 82, 6, -16, 0, -48, 0, 4, 20, 0, -32, 78, -4, 26, 0, -6, 12, 70, -6, 0, -32, -8, 16, -6, 0, -60, 24, -40, 1, 0, 12, -48, 22, 32, 0, 44, 12, -68, 84, 0, 24, 4, 8, 48, 0, 32, 14, -104, -12, 0, -16, 14, -8, -86, 0, 88, 12, 32, 60, 0, 2, -96, -1, -24, 0, -36, 26, -28, 8, 0, 46, -24, 16, 12, 0, 0, 8, -4, 4, 0, 10, 24, 104, 72, 0, -24, 10, 28, 2, 0, 4, 48, 10, -8, 0, -16, 8, -112, 20, 0, -24, -42, 36, 24, 0, -6, -8, 42, 2, 0, 96, -46, -24, 88, 0, 48, -28, -18, -36, 0, 4, -46, -52, 8, 0, 22, 16, 84, -30, 0, -60, -72, -1, 47, 0, -16, -12, -12, -16, 0, 2, 8, -30, 58, 0, -16, 48, -40, -26, 0, -10, -24, -56, -36, 0, 0, 14, 36, 12, 0, -32, -46, -16, 0, 0, -12, -18, 20, -8, 0, 32, -10, -18, -48, 0, -20, 24, -30, -20, 0, -16, -92, 18, 48, 0, -74, -10, -8, 0, 0, 0, 80, 12, 16, 0, -4, 20, 4, 12, 0, 24, -8, -16, -72, 0, 32, 0, 15, 24, 0, 6, 94, -15, 8, 0, -126, 30, -20, -10, 0, 6, 102, -24, -16, 0, 28, -6, -66, 7, 0, 14, 8, 14, 42, 0, -48, 4, 28, -32, 0, 1, 74, 60, -64, 0, 108, 40, 48, 32, 0, 16, -24, -10, 28, 0, -42, -2, 64, -4, 0, 22, 36, -12, 84, 0, 40, -32, -12, -6, 0, -8, 112, 8, -4, 0, 12, -6, -6, -112, 0, -2, -50, 8, -28, 0, 32, 18, 64, -2, 0, 28, 48, 40, 58, 0, -26, -4, -32, 32, 0, 4, -16, -50, 18, 0, 32, -32, -20, -2, 0, -10, -12, 12, 90, 0, -38, 8, -60, -30, 0, -32, -6, 24, 96, 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": "390.2.e.b", "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], [4], [1], [1], [0], [2], [-1], [1], [4], [0], [1], [4], [1], [2], [0], [-4], [2], [-6], [-1], [0], [1], [-1], [4], [-2], [0], [-4], [1], [-2], [4], [0], [1], [-6], [2], [-1], [0], [-6], [-4], [8], [2], [0], [-6], [8], [-1], [9], [0], [-4], [1], [10], [-1], [0], [4], [-2], [-2], [-14], [0], [10], [-4], [4], [1], [0], [-2], [4], [4], [6], [0], [8], [1], [10], [-6], [0], [2], [8], [-1], [-8], [0], [1], [-6], [12], [-4], [0], [8], [2], [2], [-18], [0], [4], [-6], [4], [8], [0], [-1], [6], [9], [2], [0]]}