# Stored data for newform 1950.2.a.p, downloaded from the LMFDB on 18 April 2024.
{"label": "1950.2.a.p", "space_label": "1950.2.a", "level": 1950, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67553994444113822, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1634480031132319632, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [1, 1]], [11, [5, 1]], [17, [-5, 1]], [23, [0, 1]], [31, [9, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}-q^{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": "0.012", "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.986", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.955", "prec": 17}], "related_objects": ["EllipticCurve/Q/1950/p"], "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, -1], "traces": [0, 1, 1, -1, 1, 0, -1, -1, 1, 1, 0, -5, -1, -1, -1, 0, 1, 5, 1, 0, 0, 1, -5, 0, -1, 0, -1, -1, -1, -7, 0, -9, 1, 5, 5, 0, 1, -8, 0, 1, 0, -2, 1, 8, -5, 0, 0, -9, -1, -6, 0, -5, -1, 11, -1, 0, -1, 0, -7, 1, 0, -7, -9, -1, 1, 0, 5, -15, 5, 0, 0, -8, 1, 4, -8, 0, 0, 5, 1, -4, 0, 1, -2, -9, 1, 0, 8, 7, -5, 16, 0, 1, 0, 9, -9, 0, -1, 2, -6, -5, 0, -7, -5, 6, -1, 0, 11, 6, -1, 6, 0, 8, -1, 2, 0, 0, -7, -1, 1, -5, 0, 14, -7, 2, -9, 0, -1, -8, 1, -8, 0, -2, 5, 0, -15, 0, 5, 12, 0, -2, 0, 9, -8, 5, 1, 0, 4, 6, -8, -22, 0, -21, 0, 5, 5, 0, 1, -5, -4, -11, 0, 0, 1, -4, -2, 0, -9, -4, 1, 1, 0, 0, 8, -11, 7, 0, -5, -1, 16, 2, 0, -11, 1, 7, 0, 0, 9, -25, -9, 1, 0, 18, -1, -10, 2, 0, -6, 6, -5, 18, 0, 15, -7, 7, -5, 0, 6, 0, -1, 0, 0, 16, 11, 8, 6, 0, -1, 9, 6, -4, 0, -5, 8, 16, -1, 0, 2, 29, 0, -2, 0, -5, -7, 6, -1, 0, 1, 4, -5, 1, 0, -22, 14, -1, -7, 0, 2, 0, -9, 9, 0, -6, -1, 0, -8, 0, 1, 27, -8, 8, 0, -7, -2, 26, 5, 0, 0, -16, -15, 9, 0, 7, 5, -1, 12, 0, 0, 26, -2, -9, 0, 30, 9, -22, -8, 0, 5, 2, 1, 8, 0, -2, 4, -14, 6, 0, -8, 5, -22, 0, 0, -8, -21, 7, 0, 0, 5, 12, 5, -6, 0, -18, 1, 21, -5, 0, -4, 0, -11, 35, 0, -6, 0, 0, 1, 0, -4, -6, -2, 9, 0, -20, -9, -8, -4, 0, 1, -13, 1, -2, 0, 45, 0, 13, 8, 0, -11, -6, 7, 32, 0, 1, -5, -2, -1, 0, 16, 5, 2, 27, 0, -19, -11, -14, 1, 0, 7, -36, 0, -2, 0, -11, 9, -17, -25, 0, -9, 7, 1, -15, 0, 8, 18, 0, -1, 0, -10, 8, 2, 2, 0, 0, -6, 2, 6, 0, -5, -34, 18, 0, 0, 0, 15, 9, -7, 0, 7, 40, -5, -14, 0, -12, 6, -1, 0, 0, -1, 2, 0, -2, 0, 28, 16, -9, 11, 0, 8, 7, 6, -5, 0, 12, -1, 34, 9, 0, 6, 0, -4, 4, 0, -6, -5, -32, 8, 0, 16, 22, -1, 36, 0, 10, 2, 21, 29, 0, 0, 2, -2, -5, 0, -6, -5, -11, -7, 0, 6, -32, -1, 15, 0, 5, 1, -40, 4, 0, -5, 11, 1, 29, 0, 8, -22, 0, 14, 0, -1, -1, -7, 4, 0, 30, 2, -35, 0, 0, -9, 8, 9, 11, 0, 4, -6, -2, -1, 0, 0, -1, -8, 6, 0, -4, 1, 0, 27, 0, -8, 45, 8, 11, 0, -26, -7, -18, -2, 0, 26, -45, 5, -23, 0, 1, 0, 2, -16, 0, -15, -2, 9, 30, 0, 28, 7, 11, 5, 0, -1, -2, 12, -7, 0, 0, 0, 4, 26, 0, -2, 2, -9, -8, 0, 25, 30, -24, 9, 0, -22, -1, -8, -9, 0, -32, 5, -18, 2, 0, 1, -42, 8, 10, 0, 9, -2, -55, 4, 0, -14, -15, 6, 0, 0, -6, -8, 22, 5, 0, -22, -18, 0, 6, 0, -35, -8, -15, -21, 0, 7, 2, 0, -7, 0, 9, 5, 2, 12, 0, 5, 42, -6, -28, 0, 0, -18, -16, 1, 0, 21, 0, -5, -40, 0, -36, -4, -16, 0, 0, -11, 6, 35, -8, 0, 33, -6, -28, 0, 0, 0, -48, 1, -5, 0, -9, -4, -27, -6, 0, -2, 4, 9, 44, 0, 30, -20, 5, -9, 0, -8, 0, -4, -16, 0, 35, 1, 11, -13, 0, 1, 18, -2, -2, 0, -29, 45, 19, 0, 0, 13, 2, 8, -11, 0, 7, -11, 5, -6, 0, 7, -10, 32, -6, 0, -25, 1, 0, -5, 0, -2, 7, -1, -46, 0, -4, 16, 0, 5, 0, 2, -1, 27, -18, 0, -6, -19, 22, -11, 0, -14, -38, 1, 1, 0, 40, 7, 20, -36, 0, 0, 75, -2, 3, 0, 0, -11, 39, 9, 0, -17, -9, -25, -6, 0, -40, -9, 6, 7, 0, 1, 33, -15, 0, 0, -8, 8, -6, 18, 0, 0, -1, -1, -8, 0, -27, -10, 14, 8, 0, 2, -8, 2, 0, 0, 40, 0, 7, -6, 0, 2, -5, 6, -26, 0, -2, -5, 7, -34, 0, 18, -13, 0, -45, 0, 16, 0, -20, 15, 0, 9, -9, -7, -34, 0, -29, 7, -7, 40, 0, -5, 0, -14, 1, 0, -16, -12, -28, 6, 0, -1, -21, 0, -37, 0, -26, -1, -30, 2, 0, 0, 9, -2, -16, 0, 20, 28, -30, 16, 0, -9, -14, 11, 22, 0, 0, 8, -8, 7, 0, 6, -26, -5, 36, 0, -2, 12, 27, -1, 0, 34, -8, 9, 20, 0, 15, 6, 2, 0, 0, -4, 40, 4, 14, 0, -33, -6, 32, -5, 0, -32, 4, 8, 8, 0, -5, 16, 0, 22, 0, -1, 0, 36, 63, 0, 55, 10, 8, 2, 0, 21, 40, 29, -7, 0, 40, 0, 45, 2, 0, -2, 2, -5, -50, 0, -12, -6, 8, -5, 0, -11, 6, -7, -42, 0, 0, 6, 18, -32, 0, -1, 51, 15, -21, 0, 8, 5, 0, 1, 0, -40, -41, 4, -4, 0, 0, -5, 51, 11, 0, 1, -35, 29, -12, 0, 50, 8, 6, -22, 0, 0, -17, 14, 0, 0, -34, -1, 2, -1, 0, -7, -12, 4, -80, 0, 6, 30, -31, 2, 0, -35, -9, 0, 0, 0, 36, -9, 20, 8, 0, 9, -11, 11, 8, 0, -5, 4, 5, -6, 0, -2, 0, -1, -44, 0, 13, 0, -63, -1, 0, -8, 2, 6, 20, 0, -28, -4, -45, 1, 0, 0, 4, 27, -13, 0, 22, -8, 16, 45, 0, 8, -35, 11, 50, 0, 6, -26, 22, -7, 0, -18, -32, -2, -35, 0, -53, 26, -1, -45, 0, 5, 21, -23, 2, 0, -54, 1, -22, 0, 0, 2, -10, -16, -13, 0, -5, -15, 56, -2, 0, 9, -27, 30, 9, 0, 0, 28, 19, 7, 0, 11, 40, 5, 14, 0, -44, -1, 6, -2, 0, 12, -52, -7, 5, 0, 36, 0, -29, 0, 0, 4, 2, 26, -42, 0, 35, -2, 11, 2, 0, -9, -55, -8, 17, 0, 0, 25, -1, 30, 0, -24, 0, 9, 40, 0, -7, -22, -30, -1, 0, -8, 15, -9, -75, 0, 4, -32, -8, 5, 0, -18, 72, 2, 0, 0, 17, 1, 46, -42, 0, 8, -16, 10, 0, 0, -8, 9, 59, -2, 0, -55, -2, 4, 4, 0, 28, -14, 0, -15, 0, 6, -30, 0, -2, 0, -32, -6, -1, -8, 0, 22, 22, 5, 14, 0, 34, -22, -49, -18, 0, 0, 0, 6, -30, 0, 48, -35, 0, -8, 0, -15, -40, -21, -9, 0, 11, 7, 57, 2, 0, 0, -10, -7, 0, 0, -40, 9, -38, 5, 0, 2, 14, 12, 28, 0, 48, 5, 12, 42, 0, -6, -6, -28, 1, 0, 20, 0, -10, -18, 0, -16, -56, 1, -55, 0, -2, 21, -2, 0, 0, -5, 2, -40, 63, 0, -2, -36, -28, -4, 0, -16, 11, 0, 9, 0, 18, -11, 0, 6, 0, 35, 18, -8, -23, 0, -7, 33, -6, -6, 0, -28, 5, 0, 20, 0, -34, 0, -12, -48, 0, 1, 29, -5, -34, 0, 6, -9, 12, -4, 0, -27, 5, -6, 25, 0, 0, -2, 7, 4, 0, 9, -4, 44, 7, 0, -28, 30, 6, -20, 0, 5, 30, -9, 32, 0, -15, -8, -72, 0, 0, -4, -18, -16, -6, 0, -22, 35, -20, 1, 0, 11, -36, -13, 0, 0, 10, 1, -10, 18, 0, -2, 0, -2, -21, 0, -51, -29, 63, 45, 0, 19, -27, 0, 27, 0, -2, 13, 16, 2, 0, 8, 5, -11, -6, 0, 46, 7, 6, -11, 0, 5, 0, -6, 11, 0, -6, 7, -18, -10, 0, 32, 40, -6, -24, 0, 32, -25, 0, 1, 0, 0, -15, -5, 48, 0, -45, -2, -5, 7, 0, -1, -6, -46, 40, 0, 42, -4, 1, 16, 0, 0, -12, 5, -45, 0, -11, 2, -10, -1, 0, 27, -29, -18, 14, 0, 10, -6, -8, -19, 0, 22, 70, -11, 0, 0, -11, -14, -26, -38, 0, 1, 81, 1, 52, 0, 1, 40, 0, 7, 0, 20, -4, -36, -2, 0, 35, 0, -30, 75, 0, -2, -16, 3, 35, 0, -70, 0, 12, -11, 0, 39, -32, 9, -22, 0, -8, -17, -12, -9, 0, -25, -11, -6, -56, 0, 0, -40, -4, -9, 0, 6, -60, 7, 2, 0, -52, 1, 80, 33, 0, -15, 16, 0, 54, 0, 1, -8, -4, 8, 0, -6, -6, 18, 10, 0, -52, 0, 4, -1, 0, -1, -77, -8, 0, 0, 0, -27, 22, -10, 0, 14, 5, 8, -16, 0, -45, 2, 40, -8, 0, 2, -11, 0, -18, 0, -16, 40, 26, 0, 0, 7, 52, -6, 18, 0, 24, 2, -14, -5, 0, 6, 0, -26, -55, 0, 45, -2, 6, -5, 0, 7, 23, -34, -29, 0, -64, 18, -1, -13, 0, 0, -32, -45, -2, 0, -36, 16, 2, 0, 0, -20, 12, 15, 75, 0, 2, 9, -42, -9, 0, -7, -30, -34, 45, 0, 66, -29, -28, 7, 0, -7, 45, 40, -11, 0, -6, -5, 0, 0, 0, -14, 47, 1, 110, 0, 2, -16, -99, -12, 0, -28, 7, 6, 10, 0, 8, -1, 0, -21, 0, 0, 30, -37, -4, 0, 105, -26, 46, -1, 0, -30, 44, 2, -28, 0, -2, 0, -1, 9, 0, -2, 8, -16, 0, 0, -37, 20, -25, 28, 0, -30, 22, 16, 24, 0, 0, -9, -10, -14, 0, 11, -20, 22, -8, 0, 1, 0, 2, 8, 0, -8, 9, 7, -18, 0, -7, 6, 32, -26, 0, -5, -35, 36, 18, 0, -48, -2, -63, 12, 0, 27, 25, -1, 0, 0, 42, 34, -43, -8, 0, 9, -10, 20, 72, 0, 50, 15, -9, 6, 0, 2, -5, 0, 55, 0, 30, -4, -66, 40, 0, 4, 6, 14, 46, 0, 15, -33, -16, -6, 0, 32, 0, -5, 49, 0, 0, -32, 6, 4, 0, 8, 57, 8, -22, 0, -12, -5, -21, 16, 0, 0, -36, 22, -32, 0, 18, -1, 20, 0, 0, 36, -6, 63, -27, 0, -16, 55, 35, 10, 0, 8, 2, 2, 15, 0, 34, 21, 48, 40, 0, 29, 0, -7, 30, 0, -2, 40, 30, 0, 0, 45, 7, 2, -9, 0, 40, -2, -9, 2, 0, -5, 20, -50, -2, 0, -26, -12, 0, -6, 0, 8, 0, -5, 21, 0, -42, -11, 30, 6, 0, -7, 28, -42, -5, 0, -74, 0, 0, 6, 0, 18, -31, -32, 16, 0, -36, -1, -53, 51, 0, 15, 6, -21, 41, 0, 0, 8, -9, 5, 0, 0, 40, 1, -45, 0, 63, -40, 36, -41, 0, 4, -7, -4, 16, 0, -69, 0, 55, -5, 0, 51, 78, 11, 0, 0, -6, 1, -18, -35, 0, 29, 8, -12, 0, 0, 10, 50, -33, 8, 0, 6, 18, -22, 28, 0, 59, 0, -21, -17, 0, 14, 22, 0, -26, 0, 48, -34, 105, -1, 0, 2, 5, -1, 15, 0, 24, -7, 9, -12, 0, 4, 0, -80, 27, 0, -88, 6, 21, 30, 0, -31, -30, 2, -10, 0, -4, -35, 42, -9, 0, 0, -44, 0, 64, 0, 22, 36, -30, -9, 0, 20, 77, 8, -5, 0, 55, 9, 45, -11, 0, 11, -62, 8, -82, 0, 0, -5, 68, 4, 0, 5, 16, -6, 12, 0, 78, -2, -35, 0, 0, -1, 80, -44, -11, 0, -72, 13, -8, 0, 0, -63, -40, -1, 50, 0, -18, -8, 0, 2, 0, 6, 2, 20, -8, 0, 5, -28, 29, -4, 0, -45, 0, 1, -19, 0, 14, 0, 17, 4, 0, 27, 70, -13, 56, 0, -2, 22, 44, -8, 0, 16, 11, 45, 12, 0, 0, 8, -7, -35, 0, 11, 135, 50, -5, 0, 11, 6, -80, -26, 0, 22, -71, -7, 66, 0, 10, -18, 0, -32, 0, -2, 6, -35, 7, 0, -90, -53, 25, 26, 0, -1, -48, -45, 0, 0, -32, 5, 16, 21, 0, -23, -28, 2, 4, 0, -7, -54, 50, 1, 0, -22, 46, 0, 37, 0, -6, 2, 4, -10, 0, -16, 38, -13, 0, 0, -6, -5, 51, -15, 0, 56, 0, -2, -12, 0, 1, 9, 44, -27, 0, 30, 18, 9, -40, 0, -13, 0, 6, 28, 0, 19, -30, 7, -22, 0, 4, 11, -22, 40, 0, 5, 18, 14, -47, 0, 38, -44, -8, -1, 0, 6, -1, -2, -90, 0, -21, 12, -40, -52, 0, -7, -1, 5, -20, 0, 72, 36, 19, 0, 0, -29, 18, 0, 34, 0, -75, 4, -11, 2, 0, 26, -3, -42, 0, 0, 26, 35, 0, -2, 0, 11, -10, 2, -39, 0, 0, -9, -35, -55, 0, -8, -2, 17, -86, 0, 9, 0, 21, 25, 0, -1, 6, 30, 11, 0, -83, -24, 40, 0, 0, 9, 56, 40, -6, 0, 0, -7, -36, -22, 0, -30, 27, -1, 46, 0, -33, -8, 36, 15, 0, -9, 0, -75, 88, 0, -38, 4, 8, -32, 0, -8, -22, 5, 6, 0, 28, -18, -6, 72, 0, 2, 30, 0, 0, 0, 1, 17, 54, 1, 0, 46, 8, -42, -54, 0, -20, 8, 27, -16, 0, 10, 20, 0, -14, 0, -80, -8, 0, 9, 0, 59, -2, -2, 60, 0, 8, -55, -96, -2, 0, 4, 0, 4, -28, 0, 79, 28, -40, -14, 0, 0, -79, -15, -7, 0, -31, 6, 11, -30, 0, 0, 15, -2, 13, 0, 5, -32, -10, -6, 0, -1, 26, -8, 0, 0, 77, 22, 2, 22, 0, 5, 40, 14, -7, 0, 30, 34, -48, -22, 0, -49, -45, -18, 10, 0, 13, 0, 19, 0, 0, 6, 45, -30, -13, 0, 29, 48, -16, -35, 0, 0, 63, -8, 20, 0, 3, -15, 0, -40, 0, -21, -17, -9, -2, 0, 9, 11, -55, 7, 0, 57, 34, 2, 6, 0, 25, 0, 29, -10, 0, -7, -24, 0, 7, 0, 58, -40, -32, 9, 0, -38, 44, 5, 36, 0, 0, 2, -80, 14, 0, 12, -1, 28, -96, 0, 0, 48, 16, 5, 0, 12, -38, 42, 28, 0, 2, -6, 10, -6, 0, -28, 18, 1, 120, 0, 21, 20, -18, 0, 0, -10, 37, -18, 0, 0, -99, -16, 26, -56, 0, 1, -145, -55, 30, 0, 14, -2, -1, 21, 0, -2, 0, 0, 10, 0, -9, -5, -27, 2, 0, -40, 16, 63, 10, 0, 11, -2, -20, -36, 0, -28, 19, -4, 30, 0, -6, -16, -110, 11, 0, 0, 8, 9, -70, 0, 14, 18, 80, -11, 0, 0, -22, 6, -5, 0, -34, 35, 0, 18, 0, -8, -79, -23, 8, 0, -6, -7, -30, 33, 0, -6, -105, -6, 36, 0, 26, -28, 81, 5, 0, 0, -36, 20, -95, 0, -112, -34, 2, 0, 0, -12, -18, -48, -27, 0, -50, 1, 48, 29, 0, -5, -66, -34, 0, 0, 8, 6, 0, -9, 0, 12, -20, -4, 21, 0, 17, -27, -15, 5, 0, -6, -98, 25, -2, 0, -2, 0, -56, -2, 0, 7, 64, 4, -5, 0, -40, 9, -12, -4, 0, 44, -14, 7, -7, 0, 0, -28, 33, 30, 0, 6, 17, -20, -32, 0, 110, 5, 15, 30, 0, -9, -82, 32, -12, 0, -4, -15, 72, -8, 0, -72, -8, 0, -25, 0, 31, -4, 5, -18, 0, -16, -97, -6, 0, 0, 0, -22, 84, 35, 0, -20, 18, 1, 20, 0, 0, 11, -12, -36, 0, -13, -63, 0, -11, 0, -32, 10, -55, 1, 0, -10, 22, 18, -8, 0, 63, -2, 19, 0, 0, -2, 0, -21, -65, 0, -40, -51, -2, -29, 0, 63, 7, 45, -63, 0, -10, 19, -40, -27, 0, 0, 0, 27, -45, 0, -58, -2, -16, 13, 0, 16, 30, 2, -76, 0, -2, 8, 85, 5, 0, -11, 50, -6, -144, 0, 30, 46, 12, 7, 0, 6, 25, -11, -8, 0, -20, 5, -9, 0, 0, -6, -14, 11, 34, 0, -6, -6, 0, 7, 0, -18, 42, -10, -66, 0, 2, 32, 0, 40, 0, -6, -82, -24, -18, 0, 70, 32, 29, -25, 0, 0, 0, 1, 68, 0, -51, 0, -14, -15, 0, -5, 21, 48, 52, 0, -9, -45, -8, -2, 0, -5, -135, 7, 0, 0, 0, -1, 65, -6, 0, -46, -53, 40, -20, 0, 41, 42, 102, -4, 0, 1, 4, 16, -40, 0, -22, 0, 0, -12, 0, 5, -46, -45, -51, 0, 35, -11, 14, 2, 0, -10, 63, -1, 0, 0, 35, 27, 5, -29, 0, -18, 12, 14, -60, 0, -120, 10, -50, -6, 0, -8, 52, -19, -6, 0, -6, 22, -130, 70, 0, -11, 22, 0, -16, 0, 17, -11, 38, -14, 0, -26, 0, -38, 1, 0, 16, 1, 34, 81, 0, 1, -100, 52, -2, 0, 0, 1, 32, 40, 0, 0, 5, 7, 49, 0, 12, 20, 2, -4, 0, -36, 80, -2, -40, 0, -55, 35, -6, 0, 0, -30, -28, 75, 31, 0, -29, -2, 44, -16, 0, 3, -56, 35, -45, 0, 9, -70, 76, 0, 0, 12, 0, -11, 78, 0, 65, 39, -36, -32, 0, 9, 2, -22, -20, 0, -35, -8, 0, -17, 0, -12, -42, -9, 42, 0, 11, -25, -8, -11, 0, -6, -8, -56, 70, 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": "1950.2.a.l", "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], [-1], [1], [1], [0], [-5], [-1], [-1], [-1], [0], [1], [5], [1], [0], [0], [1], [-5], [0], [-1], [0], [-1], [-1], [-1], [-7], [0], [-9], [1], [5], [5], [0], [1], [-8], [0], [1], [0], [-2], [1], [8], [-5], [0], [0], [-9], [-1], [-6], [0], [-5], [-1], [11], [-1], [0], [-1], [0], [-7], [1], [0], [-7], [-9], [-1], [1], [0], [5], [-15], [5], [0], [0], [-8], [1], [4], [-8], [0], [0], [5], [1], [-4], [0], [1], [-2], [-9], [1], [0], [8], [7], [-5], [16], [0], [1], [0], [9], [-9], [0], [-1], [2], [-6], [-5], [0]]}