# Stored data for newform 1950.2.a.y, downloaded from the LMFDB on 25 April 2024. {"label": "1950.2.a.y", "space_label": "1950.2.a", "level": 1950, "weight": 2, "hecke_orbit": 25, "hecke_orbit_code": 108086391090448286, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2137716202948060594, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [0, 1]], [11, [0, 1]], [17, [-6, 1]], [23, [-4, 1]], [31, [0, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\\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": "0.023", "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": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "2.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.077", "prec": 17}], "related_objects": ["EllipticCurve/Q/1950/y"], "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, 0], "traces": [0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 6, 1, 0, 0, 0, 0, 4, 1, 0, 1, 1, 0, -10, 0, 0, 1, 0, 6, 0, 1, 6, 0, 1, 0, 2, 0, 4, 0, 0, 4, 0, 1, -7, 0, 6, 1, 6, 1, 0, 0, 0, -10, 0, 0, 6, 0, 0, 1, 0, 0, -4, 6, 4, 0, 16, 1, 2, 6, 0, 0, 0, 1, 0, 0, 1, 2, -4, 0, 0, 4, -10, 0, -6, 0, 0, 4, 0, 0, 0, 1, -14, -7, 0, 0, 6, 6, -12, 1, 0, 6, 4, 1, -14, 0, 6, 0, -10, 0, 0, -10, 1, 0, 0, 0, -11, 6, 2, 0, 0, 0, 12, 1, 4, 0, 12, 0, 0, -4, 0, 6, -6, 4, 4, 0, 0, 16, 0, 1, 0, 2, -7, 6, -14, 0, -16, 0, 6, 0, 0, 1, 14, 0, 6, 0, 0, 1, 4, 2, 0, -4, -24, 0, 1, 0, 0, 4, 14, -10, 0, 0, 0, -6, -20, 0, -10, 0, 6, 4, 0, 0, 0, 0, 0, 0, 24, 1, -14, -14, 0, -7, 22, 0, -16, 0, -4, 6, 0, 6, 0, -12, 4, 1, 0, 0, -12, 6, 16, 4, 0, 1, 0, -14, 2, 0, 6, 6, -16, 0, 0, -10, -20, 0, 2, 0, 0, -10, -18, 1, 0, 0, 0, 0, 16, 0, -14, -11, 1, 6, 0, 2, 0, 0, -4, 0, -4, 0, 0, 12, 0, 1, 6, 4, 0, 0, -10, 12, 28, 0, 0, 0, -6, -4, 14, 0, -24, 6, 0, -6, 0, 4, -2, 4, 0, 0, -6, 0, 12, 16, 0, 0, 0, 1, 19, 0, -14, 2, -26, -7, 0, 6, 0, -14, 4, 0, 0, -16, 6, 0, 0, 6, 4, 0, -12, 0, -16, 1, -26, 14, 0, 0, -2, 6, 0, 0, 4, 0, 0, 1, 0, 4, -14, 2, 0, 0, 8, -4, 6, -24, 0, 0, -18, 1, -10, 0, 0, 0, 0, 4, 0, 14, -12, -10, 34, 0, 1, 0, 26, 0, 0, -6, 0, -20, 24, 0, -19, -10, -11, 0, 0, 6, -20, 4, 2, 0, 0, 0, -10, 0, 0, 0, -10, 0, 24, 0, 12, 24, 8, 1, 0, -14, 4, -14, -18, 0, 24, -7, 12, 22, 0, 0, 14, -16, 0, 0, 18, -4, 0, 6, 0, 0, 0, 6, 2, 0, -6, -12, 0, 4, 0, 1, 4, 0, 12, 0, -22, -12, 0, 6, 0, 16, 0, 4, 0, 0, -24, 1, -2, 0, 0, -14, 0, 2, -24, 0, -7, 6, 4, 6, 0, -16, -14, 0, -14, 0, 0, -10, -16, -20, 0, 0, -6, 2, 6, 0, -14, 0, 24, -10, 0, -18, 28, 1, 0, 0, 14, 0, 0, 0, 0, 0, 6, 16, 0, 0, 6, -14, 0, -11, 0, 1, -8, 6, 4, 0, 20, 2, -60, 0, 0, 0, 0, -4, -40, 0, -24, -4, 36, 0, 0, 0, 1, 12, -38, 0, 0, 1, 0, 6, 0, 4, 0, 0, 14, 0, 10, -10, 20, 12, 0, 28, 0, 0, -7, 0, 0, 0, 2, -6, 0, -4, -20, 14, 0, 0, -22, -24, -10, 6, 0, 0, -28, -6, 6, 0, 0, 4, 0, -2, 0, 4, 30, 0, 4, 0, 0, -6, 28, 0, 0, 12, 0, 16, -6, 0, -4, 0, 24, 0, 0, 1, -22, 19, -14, 0, 0, -14, 0, 2, 0, -26, 12, -7, 0, 0, 22, 6, -6, 0, 0, -14, -16, 4, 24, 0, 42, 0, -4, -16, 0, 6, 36, 0, 0, 0, 0, 6, 22, 4, 0, 0, -30, -12, 40, 0, 4, -16, 0, 1, 0, -26, 0, 14, 36, 0, -48, 0, -12, -2, 0, 6, -7, 0, 16, 0, 2, 4, -4, 0, 0, 0, 36, 1, 0, 0, 0, 4, 6, -14, 0, 2, 2, 0, -20, 0, -30, 8, 6, -4, 0, 6, -40, -24, -16, 0, 0, 0, -42, -18, 0, 1, 30, -10, 0, 0, -20, 0, -12, 0, 0, 0, 2, 4, 6, 0, 32, 14, 0, -12, 0, -10, 12, 34, -18, 0, -18, 1, 0, 0, 0, 26, 0, 0, 2, 0, 0, -6, 0, 0, 0, -20, 16, 24, 24, 0, 0, -19, -14, -10, 0, -11, -12, 0, 1, 0, 24, 6, -50, -20, 0, 4, 0, 2, -40, 0, 0, 0, 48, 0, 0, -10, -4, 0, 0, 0, 24, 0, -4, -10, 0, 0, -2, 24, 0, 0, -22, 12, 0, 24, 0, 8, 0, 1, 34, 0, 6, -14, -26, 4, 0, -14, 0, -18, 0, 0, 0, 24, -10, -7, 0, 12, 36, 22, 28, 0, 0, 0, 6, 14, 0, -16, -18, 0, 0, 0, -6, 18, 0, -4, 0, 0, 14, 6, 26, 0, 32, 0, -24, 0, 0, 6, 0, 2, 0, 0, -22, -6, 44, -12, 0, 0, 12, 4, 54, 0, -2, 1, -42, 4, 0, 0, 0, 12, 0, 0, 71, -22, -6, -12, 0, 0, 0, 6, 12, 0, 24, 16, 38, 0, 0, 4, 38, 0, -20, 0, 0, -24, -48, 1, 0, -2, 19, 0, 0, 0, -4, -14, -14, 0, 0, 2, 14, -24, -26, 0, 34, -7, -52, 6, 0, 4, 36, 6, 0, 0, 0, -16, 0, -14, 0, 0, 4, -14, 0, 0, 36, 0, 0, -10, 0, -16, -28, -20, 6, 0, 40, 0, 0, -6, 0, 2, 0, 6, -16, 0, 4, -14, 16, 0, 0, 24, -12, -10, -46, 0, 0, -18, -16, 28, 0, 1, 22, 0, -26, 0, 10, 14, 8, 0, 0, 0, 36, 0, 2, 0, -2, 0, -10, 6, 0, 16, 0, 0, 0, 0, -31, 6, 4, -14, 0, 0, 32, -11, 0, 0, 12, 1, 0, -8, 0, 6, 2, 4, 0, 0, -14, 20, -16, 2, 0, -60, 0, 0, 16, 0, -8, 0, 8, 0, 0, -4, 22, -40, 6, 0, 0, -24, 0, -4, 0, 36, 0, 0, 2, 0, -18, 0, -42, 1, 0, 12, -10, -38, 56, 0, 10, 0, 0, 1, 0, 0, 0, 6, 0, 0, 48, 4, 58, 0, 0, 0, 36, 14, -16, 0, -12, 10, 0, -10, 0, 20, 34, 12, -54, 0, 0, 28, 1, 0, 0, 0, 0, -7, 26, 0, 2, 0, 52, 0, 0, 2, 0, -6, 22, 0, 0, -4, -60, -20, 0, 14, 24, 0, -4, 0, 0, -22, -19, -24, 0, -10, 32, 6, -11, 0, -52, 0, 46, -28, 0, -6, 2, 6, 0, 0, -20, 0, 8, 4, 0, 0, 2, -2, 38, 0, 0, 4, 0, 30, 0, 0, 14, 4, -10, 0, 0, 0, -4, -6, 0, 28, -28, 0, -46, 0, -10, 12, 0, 0, 0, 16, 24, -6, -24, 0, 0, -4, 12, 0, 0, 24, 0, 0, 8, 0, -48, 1, 22, -22, 0, 19, -6, -14, 0, 0, 4, 0, 52, -14, 0, 0, -18, 2, 0, 0, 36, -26, 24, 12, 0, -7, 0, 0, 12, 0, -6, 22, 0, 6, 0, -6, 52, 0, -20, 0, 14, -14, -34, -16, 0, 4, 0, 24, 0, 0, -38, 42, 18, 0, 0, -4, 96, -16, 0, 0, 0, 6, 46, 36, 0, 0, -54, 0, 24, 0, 0, 0, -44, 6, 0, 22, 2, 4, -46, 0, 40, 0, -6, -30, 0, -12, 22, 40, 0, 0, 12, 4, 0, -16, 0, 0, -40, 1, -62, 0, 4, -26, 0, 0, 0, 14, 12, 36, 32, 0, -14, -48, -22, 0, 0, -12, 0, -2, 0, 0, 0, 6, 0, -7, 0, 0, 38, 16, 16, 0, 0, 2, 60, 4, 0, -4, 0, 0, -22, 0, 68, 0, -24, 36, 0, 1, -50, 0, -2, 0, -10, 0, 44, 4, 0, 6, -4, -14, 0, 0, 0, 2, 6, 2, 0, 0, -24, -20, 24, 0, -70, -30, -7, 8, 0, 6, -44, -4, 4, 0, 0, 6, 0, -40, 0, -24, 0, -16, -12, 0, -14, 0, 0, 0, 0, -42, -14, -18, 0, 0, 0, 1, 0, 30, 0, -10, 0, 0, -16, 0, 18, -20, 0, 0, 0, -12, -64, 0, -1, 0, -6, 0, -50, 2, 0, 4, 6, 6, 0, 0, 14, 32, -14, 14, 0, 0, 0, -12, 24, 0, 4, -10, 0, 12, 0, 34, 0, -18, 40, 0, 28, -18, 24, 1, 0, 0, 0, 0, 26, 0, -24, 26, 14, 0, 0, 0, -14, 2, 0, 0, 70, 0, 64, -6, 0, 0, -28, 0, -50, 0, 6, -20, 6, 16, 0, 24, 0, 24, 40, 0, 0, 0, 6, -19, 0, -14, -28, -10, 0, 0, 32, -11, 62, -12, 0, 0, 0, 1, 52, 0, -8, 24, 0, 6, 0, -50, 4, -20, -10, 0, 24, 4, 20, 0, 0, 2, 0, -40, -60, 0, -70, 0, -52, 0, 0, 48, 0, 0, 58, 0, 0, -10, -42, -4, 0, 0, -40, 0, -60, 0, 0, 24, -24, 0, 0, -4, 0, -10, 36, 0, -24, 0, -36, -2, 0, 24, 12, 0, 0, 0, 1, -22, -60, 12, 0, 0, -38, 24, 0, 0, 36, 8, 0, 0, 0, 1, -60, 34, 0, 0, -16, 6, 20, -14, 0, -26, 0, 4, 10, 0, 0, -14, 66, 0, 0, -18, 14, 0, 0, 0, 0, 0, 10, 24, 0, -10, -32, -7, 20, 0, 16, 12, -11, 36, 0, 22, 0, 28, 40, 0, 0, 0, 4, 0, 0, 6, -7, 14, 0, 0, 24, -16, 0, -18, 0, 0, -2, 0, 2, 0, -6, -6, 0, 18, 0, 0, -48, -4, 58, 0, -20, 0, 46, 14, 0, 6, 0, 26, -24, 0, -2, 32, -22, 0, 0, -24, -20, 0, -10, 0, 0, 6, 64, 0, 0, 2, 6, 0, 0, 0, -28, -22, 0, -6, 0, 44, 6, -12, -84, 0, 12, 0, 0, 12, 0, 4, 34, 54, 0, 0, 0, -2, -44, 1, 0, -42, 4, 4, 34, 0, 30, 0, 0, 0, 0, 12, 4, 0, 8, 0, -37, 71, 0, -22, 0, -6, 0, -12, 28, 0, 0, 0, 6, 0, 0, 6, -70, 12, -12, 0, 0, 24, 12, 16, 0, 38, -6, 0, -30, 0, 0, 4, -4, 38, 0, 0, 36, -20, 24, 0, -30, 0, -44, -24, 0, -48, 0, 1, 0, 0, -22, -2, -18, 19, 0, 0, -14, 0, 0, 0, 6, -4, 0, -14, 0, -14, -68, 0, 0, 0, -72, 2, 26, 14, 0, -24, 0, -26, -72, 0, 12, 34, 8, -7, 0, -52, 0, 6, -60, 0, 0, 4, 22, 36, 0, 6, -42, 0, -6, 0, -6, 0, -32, -16, 0, 0, -76, -14, 10, 0, -16, 0, 0, 4, 0, -14, 24, 0, 0, 0, 34, 36, 42, 0, 0, 0, 4, -10, -4, 0, -60, -16, -42, -28, 0, -20, 0, 6, 24, 0, 36, 40, -60, 0, 0, 0, 0, -6, 0, 0, 40, 2, 0, 0, 0, 6, 0, -16, 22, 0, 0, 4, 0, -14, 0, 16, 36, 0, -27, 0, -30, 24, -84, -12, 0, -10, 40, -46, 0, 0, -46, 0, 4, -18, 0, -16, -84, 28, 0, 0, -48, 1, 54, 22, 0, 0, 6, -26, 8, 0, 0, 10, 0, 14, 0, 8, 36, 0, 18, 0, 0, 0, -48, 36, 0, 0, 0, 2, -12, 0, -50, -2, 0, 0, 0, -10, 60, 6, -16, 0, -7, 16, -6, 0, 0, 0, 16, 0, 0, 0, -60, -31, 2, 6, 0, 4, 0, -14, -4, 0, -40, 0, -74, 32, 0, -11, -14, 0, 0, 0, 36, 12, 40, 1, 0, 0, 0, -8, 54, 0, 0, 6, 0, 2, 0, 4, 0, 0, 6, 0, 36, -14, -16, 20, 0, -16, 0, 2, 0, 0, 2, -60, -2, 0, 0, 0, -20, 16, -36, 0, 0, -8, -30, 0, 0, 8, 12, 0, 6, 0, 0, -4, 86, 22, 0, -40, -18, 6, 88, 0, -40, 0, 36, -24, 0, 0, -16, -4, -14, 0, 20, 36, 0, 0, 0, 0, -22, 2, -42, 0, 0, -18, 0, 0, 0, -42, -12, 1, -10, 0, 30, 12, 0, -10, 0, -38, 0, 56, -8, 0, 14, 10, -20, 0, 0, 0, -24, 1, -12, 0, 0, 0, -10, 0, 0, 6, -66, 0, -160, 0, 2, 48, 28, 4, 0, 58, 6, 0, 18, 0, 0, 0, 32, 36, 0, 14, 0, -16, 0, 0, -78, -12, -76, 10, 0, 0, 88, -10, -70, 0, 12, 20, 0, 34, 0, 12, -18, -54, 56, 0, 0, 0, -18, 28, 0, 1, -28, 0, 0, 0, -56, 0, 10, 0, 0, -7, -20, 26, 4, 0, 0, 2, 0, 0, 0, 52, 2, 0, -30, 0, -60, 2, 0, 0, 0, -6, 18, 22, 0, 0, 30, 0, -72, -4, 0, -60, 0, -20, 0, 0, 16, 14, 26, 24, 0, 0, 24, -4, 72, 0, 50, 0, 0, -22, 0, -19, 0, -24, -14, 0, -24, -10, 12, 32, 0, 6, 0, -11, 16, 0, -12, -52, 0, 0, 0, 46, 1, -28, 0, 0, 0, -6, 24, 2, 0, 6, 1, 0, -50, 0, 0, -20, -20, 0, 0, 8, -52, 4, -47, 0, 0, 0, 6, 2, 0, -2, -40, 38, 0, 0, 18, 0, 0, 4, 0, 0, 72, 30, 48, 0, -56, 0, 0, 14, 0, 4, -10, -10, -56, 0, -4, 0, -28, 0, 0, -4, 0, -6, 14, 0, -48, 28, 24, -28, 0, 0, 36, -46, -4, 0, 0, -10, 0, 12, 0, 0, 76, 0, 66, 0, -2, 16, -6, 24, 0, -6, 0, -24, 24, 0, -14, 0, -22, -4, 0, 12, -68, 0, 0, 0, 0, 24, 54, 0, 0, 0, -74, 8, 0, 0, 0, -48, 0, 1, 0, 22, 34, -22, -6, 0, -32, 19, 6, -6, 0, -14, 0, 0, -26, 0, 0, 4, 24, 0, 0, 52, -20, -14, -36, 0, 0, 0, -66, -18, 0, 2, 0, 0, 36, 0, 6, 36, 0, -26, 0, 24, -36, 12, -10, 0, 40, -7, -10, 0, 0, 0, 14, 12, 0, 0, 36, -6, 24, 22, 0, 0, 28, 6, -48, 0, -80, -6, 0, 52, 0, 0, 34, -20, 6, 0, 34, 14, -44, -14, 0, -34, 0, -16, 54, 0, -18, 4, 46, 0, 0, 24, 0, 0, -8, 0, 49, -38, -6, 42, 0, 18, 40, 0, 0, 0, 32, -4, 0, 96, 0, -16, -66, 0, 0, 0, 14, 0, 48, 6, 0, 46, 26, 36, 0, 0, 0, 0, 32, -54, 0, 0, 6, 24, -24, 0, 42, 0, 0, 0, 0, -44, -84, 6, 0, 0, 0, 22, 0, 2, 0, 4, 0, -46, 24, 0, 16, 40, -22, 0, 0, -6, -12, -30, 44, 0, 0, -12, 30, 22, 0, 40, 14, 0, -24, 0, 12, 12, 24, 4, 0, 0, 54, -16, 0, 0, 0, 0, -2, -40, 0, 1, 0, -62, -42, 0, 12, 4, 56, -26, 0, 0, -56, 0, -14, 0, 0, 14, 0, 12, 0, 36, 0, 32, 0, 0, -38, -14, 71, -48, 0, -22, 0, 0, -6, 0, 4, -12, -84, 0, 0, -2, 0, 0, 20, 0, 0, 0, -24, 6, 0, 0, 12, -7, -34, 0, -32, 0, 24, 38, 0, 16, 54, 16, 38, 0, 22, 0, 0, 2, 0, 60, -96, 4, 0, 0, 38, -4, 0, 0, 0, 0, -20, -22, -32, 0, 60, 68, 0, 0, 0, -24, -16, 36, -48, 0, -48, 1, 26, -50, 0, 0, -42, -2, -40, 0, 19, -10, 0, 0, 0, 44, 0, 4, 18, 0, 0, 6, -4, -4, 0, -14, 46, 0, -14, 0, 90, 0, 24, 2, 0, 6, 96, 2, 0, 0, 14, 0, 42, -24, 0, -20, -26, 24, 0, 0, 0, -70, 34, -30, 0, -7, -24, 8, -52, 0, 0, 6, 0, -44, 0, -4, 66, 4, 80, 0, 36, 0, 48, 6, 0, 0, 0, -40, 84, 0, -8, -24, 0, 0, 0, -16, 46, -12, 0, 0, 0, -14, -52, 0, 0, 0, 52, 0, -46, 0, 4, -42, -42, -14, 0, -18, 0, 0, 16, 0, 12, 0, 36, 1, 0, 0, 44, 30, 0, 0, 8, -10, -66, 0, 0, 0, 0, -16, -8, 0, -28, 18, 0, -20, 0, 0, 6, 0, 26, 0, 84, -12, 40, -64, 0, 0, 0, -1, 0, 0, 90, -6, -12, 0, 0, -50, -8, 2, 66, 0, 0, 4, 6, 6, 0, 6, -16, 0, 0, 0, 0, 14, 4, 32, 0, -14, 80, 14, 16, 0, 24, 0, 0, 0, 0, -12, 18, 24, 0, 0, -12, 4, -44, -10, 0, 0, -46, 12, 18, 0, 0, 34, 0, 0, 0, -18, -34, 40, -16, 0, -78, 28, -44, -18, 0, 24, 0, 1, -17, 0, 22, 0, 140, 0, 0, 0, -26, 26, 8, 0, 0, -24, 10, 26, 0, 14, 0, 0, 8, 0, 0, 0, -58, -14, 0, 2, 22, 0, -144, 0, 36, 70, 28, 0, 0, 64, 2, -6, 0, 0, -28, 0, -2, -28, 0, 0, 46, -50, -10, 0, 6, 6, 0, -20, 0, 6, 0, 16, 0, 0, 0, 24, 6, 0, 0, 24, 0, 40, 104, 0, -16, 0, -31, 0, 0, 6, 52, -19, 4, 0, 0, -14, 0, -28, 0, -10, -6, 0, -16, 0, 32, 32, 12, -11, 0, 62, 0, -12, 30, 0, 32, 0, 12, 0, 0, 1, -58, 52, 0, 0, 48, -8, 0, 24, 0, 0, -48, 6, -60, 0, 2, -50, 0, 4, 0, -20, 0, -10, -36, 0, 84, 24, -14, 4, 0, 20, 0, 0, -16, 0, -20, 2, 18, 0, 0, -40, -18, -60, 0, 0, 0, -70, 76, 0, 0, -52, 16, 0, 2, 0, -80, 48, -8, 0, 0, 0, 2, 58, 8, 0, 0, 0, 0, -10, 0, -42, 120, -4, -42, 0, 22, 0, 4, -40, 0, 0, 6, -60, 56, 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.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], [0], [1], [1], [0], [0], [1], [1], [0], [0], [1], [6], [1], [0], [0], [0], [0], [4], [1], [0], [1], [1], [0], [-10], [0], [0], [1], [0], [6], [0], [1], [6], [0], [1], [0], [2], [0], [4], [0], [0], [4], [0], [1], [-7], [0], [6], [1], [6], [1], [0], [0], [0], [-10], [0], [0], [6], [0], [0], [1], [0], [0], [-4], [6], [4], [0], [16], [1], [2], [6], [0], [0], [0], [1], [0], [0], [1], [2], [-4], [0], [0], [4], [-10], [0], [-6], [0], [0], [4], [0], [0], [0], [1], [-14], [-7], [0], [0]]}