# Stored data for newform 1050.2.a.l, downloaded from the LMFDB on 23 April 2024.
{"label": "1050.2.a.l", "space_label": "1050.2.a", "level": 1050, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934630938, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1602826164210959660, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [-6, 1]], [13, [-1, 1]], [17, [3, 1]], [19, [4, 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": 4200, "fricke_eigenval": -1, "atkin_lehner_string": "-+++", "analytic_conductor": 8.38429221223444, "hecke_ring_index": 1, "level_radical": 210, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [1050, 1, [701, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.987", "prec": 17}, {"__RealLiteral__": 0, "data": "0.090", "prec": 17}, {"__RealLiteral__": 0, "data": "1.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.243", "prec": 17}, {"__RealLiteral__": 0, "data": "4.971", "prec": 17}], "related_objects": ["EllipticCurve/Q/1050/l"], "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], [7, 1]], "trace_display": [1, -1, 0, -1], "traces": [0, 1, 1, -1, 1, 0, -1, -1, 1, 1, 0, 6, -1, 1, -1, 0, 1, -3, 1, -4, 0, 1, 6, 3, -1, 0, 1, -1, -1, 3, 0, 5, 1, -6, -3, 0, 1, 10, -4, -1, 0, 9, 1, 1, 6, 0, 3, 0, -1, 1, 0, 3, 1, -9, -1, 0, -1, 4, 3, 9, 0, 11, 5, -1, 1, 0, -6, 4, -3, -3, 0, -12, 1, 10, 10, 0, -4, -6, -1, -10, 0, 1, 9, -9, 1, 0, 1, -3, 6, -6, 0, -1, 3, -5, 0, 0, -1, -14, 1, 6, 0, -12, 3, -17, 1, 0, -9, -18, -1, 8, 0, -10, -1, 6, 4, 0, 3, 1, 9, 3, 0, 25, 11, -9, 5, 0, -1, 10, 1, -1, 0, 0, -6, 4, 4, 0, -3, 0, -3, -16, 0, 0, -12, 6, 1, 0, 10, -1, 10, -9, 0, 2, -4, -3, -6, 0, -1, 10, -10, 9, 0, -3, 1, -5, 9, 0, -9, -18, 1, -12, 0, -4, 1, 12, -3, 0, 6, -9, -6, 18, 0, 2, -1, -11, 3, 0, -5, -18, 0, 1, 0, -15, -1, 22, -14, 0, 1, 15, 6, 8, 0, -4, -12, -3, 3, 0, -17, 3, 1, -24, 0, -25, -9, 12, -18, 0, -1, -5, 8, -10, 0, -3, -10, 19, -1, 0, 6, -3, 4, -22, 0, 6, 3, -12, 1, 0, 9, 10, 3, 0, 0, 2, 25, -1, 11, 0, -9, -4, 5, 9, 0, -27, -1, 18, 10, 0, 1, -15, -1, -10, 0, 3, 0, -9, -6, 0, 4, 6, 4, -18, 0, 20, -3, 1, 0, 0, -3, 10, -16, 5, 0, -24, 0, 4, -12, 0, 6, -9, 1, -8, 0, 14, 10, 0, -1, 0, 10, -6, -9, 3, 0, -1, 2, 12, -4, 0, -3, -2, -6, 17, 0, -18, -1, 10, 10, 0, -10, 27, 9, 18, 0, 18, -3, 12, 1, 0, -5, -8, 9, 0, 0, -19, -9, 10, -18, 0, 1, 13, -12, -6, 0, 30, -4, -1, 1, 0, 12, -18, -3, 17, 0, -1, 6, 30, -9, 0, -6, -3, 18, -3, 0, -3, 2, -25, -1, 0, -11, 37, 3, 9, 0, 9, -5, -8, -18, 0, 0, 3, 1, 35, 0, -10, -15, 24, -1, 0, 22, 1, -14, -6, 0, -9, 1, 0, 15, 0, 6, -29, 8, -4, 0, -12, -4, 5, -12, 0, -3, 60, 3, 38, 0, 0, -17, -9, 3, 0, 1, 16, -24, -21, 0, -34, -25, 0, -9, 0, 12, -11, -18, -6, 0, -15, -1, -38, -5, 0, 8, -12, -10, 41, 0, 1, -3, -24, -10, 0, 19, 9, -1, 24, 0, 54, 6, -2, -3, 0, 4, 25, -22, 3, 0, 12, 6, -32, 3, 0, -12, 3, 1, -4, 0, -10, 9, 6, 10, 0, 3, -9, 0, 24, 0, 10, 2, 3, 25, 0, -1, -2, 11, 5, 0, 42, -9, -9, -4, 0, 5, 12, 9, -19, 0, 18, -27, -6, -1, 0, 18, 12, 10, -24, 0, -10, 1, 4, -15, 0, -1, 0, -10, -12, 0, -21, 3, -20, 0, 0, -9, -15, -6, -14, 0, 9, 4, 9, 6, 0, 4, -18, -18, 6, 0, 20, 20, -2, -3, 0, 1, -17, 0, 11, 0, -12, -3, 10, 10, 0, -16, 18, 5, 1, 0, 18, -24, -21, 0, 0, 4, -1, -12, -6, 0, -13, 6, 15, -9, 0, 1, 34, -8, -22, 0, 9, 14, -54, 10, 0, 0, -33, -1, -20, 0, -15, 10, 18, -6, 0, -9, -8, 3, 9, 0, -4, -1, 4, 2, 0, 12, 28, -4, 3, 0, 0, -3, -2, -2, 0, -6, 18, 17, 26, 0, -3, -18, 6, -1, 0, 10, 24, 10, -30, 0, -22, -10, 25, 27, 0, 9, 1, 18, -12, 0, -18, 18, -14, -3, 0, 12, -6, 1, 54, 0, 5, -5, -18, -8, 0, 9, 10, 0, 42, 0, 38, -19, 3, -9, 0, 10, 9, -18, -19, 0, 66, 1, 37, 13, 0, -12, 12, -6, 14, 0, 3, 30, -18, -4, 0, -1, 22, 1, -9, 0, -34, 12, -6, -18, 0, -3, -27, 17, 12, 0, 3, -1, -40, 6, 0, 30, 12, -9, -40, 0, -10, -6, 15, -3, 0, 18, 0, -3, 30, 0, 17, -3, -2, 2, 0, -25, 7, -1, 1, 0, -3, -11, -29, 37, 0, 3, 24, 9, -37, 0, 4, 9, 9, -5, 0, -8, -9, -18, 18, 0, 8, 0, 27, 3, 0, 1, -14, 35, -18, 0, 18, -10, -8, -15, 0, 24, 9, -1, -4, 0, 15, 22, 48, 1, 0, -14, 10, -6, -36, 0, -72, -9, -3, 1, 0, 0, -26, 15, 9, 0, -6, 6, 11, -29, 0, 8, 6, -4, 0, 0, -6, -12, 60, -4, 0, 5, 18, -12, 0, 0, -34, -3, -20, 60, 0, 3, -4, 38, -1, 0, -42, 0, 34, -17, 0, -9, -6, 3, 29, 0, -10, 1, -3, 16, 0, -24, -5, -21, 36, 0, -20, -34, 24, -25, 0, 0, -25, -9, -4, 0, 30, 12, 19, -11, 0, -18, -18, -6, -40, 0, 9, -15, 48, -1, 0, -38, 8, -5, -60, 0, 4, 8, -14, -12, 0, -10, -32, 41, 0, 0, 33, 1, -5, -3, 0, -24, -54, -10, -10, 0, 6, 19, 0, 9, 0, -1, -3, 24, 15, 0, 27, 54, 1, 6, 0, -2, -53, -3, -12, 0, 15, 4, -54, 25, 0, -22, 0, 3, 20, 0, 2, 12, -12, 6, 0, -32, -17, 3, -27, 0, -4, -12, 18, 3, 0, 1, -2, -4, -10, 0, 24, -10, 27, 9, 0, 6, 24, 10, 10, 0, -27, 3, -24, -9, 0, 0, -18, 24, 0, 0, -6, 10, -18, 2, 0, 3, 28, 25, -12, 0, -12, -1, 16, -2, 0, 11, -42, 5, -36, 0, 8, 42, -24, -9, 0, -9, 0, -4, 3, 0, -16, 5, 19, 12, 0, 9, -26, -19, -10, 0, -6, 18, -27, -27, 0, -6, 36, -1, -25, 0, -13, 18, -60, 12, 0, 10, 6, -24, 18, 0, -43, -10, -30, 1, 0, 4, -10, -15, 1, 0, -39, -1, 1, 0, 0, -10, -33, -12, -28, 0, 18, -21, 9, 3, 0, -20, -17, 0, -3, 0, 44, -9, 1, -15, 0, -6, -2, -14, -30, 0, 33, 9, 55, 4, 0, 9, -84, 6, 35, 0, 3, 4, 30, -18, 0, -18, 3, 6, -9, 0, 0, 20, 3, 20, 0, -2, 10, -3, 25, 0, 21, 1, 22, -17, 0, 0, 15, 11, -10, 0, -37, -12, 24, -3, 0, 10, -9, 10, 30, 0, -72, -16, -9, 18, 0, 5, -20, 1, 8, 0, -36, 18, -26, -24, 0, -21, 3, 0, 41, 0, -3, 4, -102, -1, 0, -12, -35, -6, -12, 0, 5, -13, 10, 6, 0, 15, 50, -9, -24, 0, 12, 1, 4, 34, 0, -8, -6, -22, -44, 0, -1, 9, 12, 14, 0, -54, 6, 10, 18, 0, 56, 0, 9, -33, 0, -1, -108, -20, 0, 0, -42, -15, 12, 10, 0, 18, -60, -6, 27, 0, 29, -9, -57, -8, 0, 3, 4, 9, 48, 0, 5, -4, 12, -1, 0, 4, 36, 2, -5, 0, -12, 12, 10, 28, 0, -4, 30, 3, -27, 0, -60, 0, 36, -3, 0, -2, -38, -2, -6, 0, -37, -6, 0, 18, 0, 17, 31, 26, 9, 0, -30, -3, 36, -18, 0, 6, 3, -1, -10, 0, -16, 10, -18, 24, 0, 10, 21, -30, -27, 0, -14, -22, 34, -10, 0, 25, -2, 27, 0, 0, 45, 9, -16, 1, 0, 18, 48, -12, 17, 0, 11, -18, -42, 18, 0, -14, 6, -3, -54, 0, 62, 12, 15, -6, 0, 1, 10, 54, 38, 0, 30, 5, -26, -5, 0, -18, 39, -8, 18, 0, 12, 9, -12, 10, 0, 0, -41, 42, 6, 0, 56, 38, -1, -19, 0, 3, 28, -9, 24, 0, 84, 10, 5, 9, 0, -18, 15, -19, -17, 0, -9, 66, 30, 1, 0, 37, -24, 13, 48, 0, -22, -12, -54, 12, 0, -6, 27, 14, 2, 0, -18, 3, 0, 30, 0, -18, 21, -4, 63, 0, -25, -1, -33, 22, 0, 1, -3, -9, -15, 0, 32, -34, -12, 12, 0, -6, -40, -18, 32, 0, -18, -3, -8, -27, 0, 17, 60, 12, -55, 0, -3, 3, 33, -1, 0, -40, 4, 6, -30, 0, 27, 30, 10, 12, 0, -9, 8, -40, -6, 0, 3, -10, 16, -6, 0, 15, -60, -3, -22, 0, 9, 18, -30, 0, 0, -3, -24, 30, -24, 0, 0, 17, -10, -3, 0, -2, 28, 2, -3, 0, 30, -25, 40, 7, 0, -1, 0, 1, 20, 0, 2, -3, 24, -11, 0, -29, -5, 37, 6, 0, -4, 3, -42, 24, 0, 9, 25, -37, 9, 0, 66, 4, 4, 9, 0, 9, 12, -5, -22, 0, -12, -8, 6, -9, 0, -18, 19, 18, -6, 0, 40, 8, -18, 0, 0, 27, 0, 3, 6, 0, -30, 1, 18, -14, 0, 35, 90, -18, 5, 0, -12, 18, -12, -10, 0, -8, 24, -15, -96, 0, 2, 24, 10, 9, 0, -1, -27, -4, -4, 0, 12, 15, 61, 22, 0, 48, 3, 1, 2, 0, 0, -14, -15, 10, 0, -6, 12, -36, 36, 0, -19, -72, 21, -9, 0, -3, 7, 1, 20, 0, -12, 0, 25, -26, 0, 15, 36, 9, -4, 0, 15, -6, -72, 6, 0, 11, 14, -29, 3, 0, 10, 8, -9, 6, 0, -4, -32, 0, -9, 0, 21, -6, 22, -12, 0, 60, 21, -4, -10, 0, 18, 5, -12, 18, 0, -12, -6, 0, 30, 0, 2, -34, -20, -3, 0, -20, 58, 60, 2, 0, 12, 3, -36, -4, 0, 38, -42, -1, -54, 0, 17, -42, -45, 0, 0, 34, -11, -17, 42, 0, 10, -9, 12, -6, 0, 3, 34, 29, -10, 0, 12, -10, -56, 1, 0, -3, 36, 16, -19, 0, -18, -24, 0, -5, 0, -21, -1, 36, 30, 0, 40, -20, -18, -34, 0, 24, -2, -25, 21, 0, 24, 0, 34, -25, 0, -9, -63, -4, -22, 0, 1, 30, 0, 12, 0, 19, 6, -11, 75, 0, 27, -18, 13, -18, 0, -6, 36, -40, -15, 0, -63, 9, 13, -15, 0, 48, 60, -1, 4, 0, -34, -38, -69, 8, 0, -5, 22, -60, 0, 0, 41, 4, -9, 8, 0, -14, 7, -12, 54, 0, 51, -10, 4, -32, 0, 41, 27, 0, -4, 0, 33, 33, 9, 1, 0, -5, 20, -3, 33, 0, -18, -24, 15, -54, 0, -10, 76, -10, -18, 0, 0, 6, 76, 19, 0, 0, 48, 9, -46, 0, 8, -1, -30, -3, 0, 24, -9, 15, 15, 0, -25, 27, 4, 54, 0, 1, -16, 6, -4, 0, -51, -2, 10, -53, 0, -3, -30, -12, 54, 0, -28, 15, 0, 4, 0, -54, -3, 25, 45, 0, -16, -22, 0, 0, 0, 3, -108, 20, 2, 0, 9, 2, 56, 12, 0, -12, 12, 6, -42, 0, -18, -32, -24, -17, 0, 3, -26, -27, -72, 0, -37, -4, 3, -12, 0, 18, -32, 3, -6, 0, -39, 1, 13, -2, 0, -4, -42, -10, 11, 0, -24, 24, 18, -10, 0, 27, 30, 9, -30, 0, 55, 6, 22, 24, 0, 10, -20, 10, -25, 0, -30, -27, 72, 3, 0, -24, -60, -9, -27, 0, -1, 0, -36, -18, 0, 24, 12, 0, 48, 0, -18, -6, 18, 10, 0, -18, 0, 2, 14, 0, -24, 3, 34, 28, 0, 25, -9, -12, -10, 0, 6, -12, 12, -1, 0, 16, -54, -2, -24, 0, 35, 11, -5, -42, 0, 5, 68, -36, 18, 0, -90, 8, 2, 42, 0, -24, 24, -9, 108, 0, -10, -9, 30, 0, 0, -4, -42, 3, 33, 0, -4, -16, -38, 5, 0, 19, -26, 12, -3, 0, 12, 9, -68, -26, 0, -19, 63, -10, 14, 0, -9, -6, -24, 18, 0, -27, 19, -27, 9, 0, -52, -6, -66, 36, 0, -1, -53, -25, -37, 0, 0, -13, 8, 18, 0, -60, 18, 12, 65, 0, -12, 10, 72, 6, 0, -24, -14, 18, 63, 0, 10, -43, -3, -10, 0, -30, -18, 1, 18, 0, 0, 4, -38, -10, 0, -15, -75, 1, -36, 0, -22, -39, -18, -1, 0, 1, 9, 0, -33, 0, -32, -10, 34, -33, 0, -12, 20, -28, 6, 0, 54, 18, -56, -21, 0, 9, 15, 3, 38, 0, 27, -20, -3, -17, 0, 0, -12, -3, 12, 0, -90, 44, -3, -9, 0, 1, 1, -15, 40, 0, 69, -6, -8, -2, 0, -14, 30, -30, -5, 0, -12, 33, 132, 9, 0, 55, 40, 4, -12, 0, 14, 9, 10, -84, 0, 6, 58, 35, -15, 0, 54, 3, 16, 4, 0, 30, -24, -18, 2, 0, 0, -18, -30, 3, 0, 6, -30, -9, -30, 0, -28, 0, -17, 20, 0, 3, 90, 20, 2, 0, -18, -2, -81, 10, 0, -3, 18, 25, -25, 0, -7, 21, 90, 1, 0, 22, -1, -17, 48, 0, -10, 0, 3, 15, 0, 11, -25, -10, 29, 0, -60, -37, 34, -12, 0, 24, 0, -3, -47, 0, -24, 10, 27, -9, 0, 10, 37, 30, -27, 0, -46, -72, -4, -16, 0, -9, 0, 18, -9, 0, -42, 5, -18, -20, 0, 1, -69, 8, 35, 0, 9, -36, -39, 18, 0, -26, -18, -24, 12, 0, 11, -21, -8, 3, 0, 0, 110, 41, -27, 0, -12, -3, 50, 4, 0, -102, -12, -1, 68, 0, 14, -12, 69, -35, 0, -6, 18, -12, -9, 0, 14, 5, -18, -13, 0, 10, -29, 6, 8, 0, -30, 15, 10, 50, 0, -9, -66, -24, -100, 0, -9, 12, 0, 1, 0, 4, 4, 34, 72, 0, 8, -8, -15, -6, 0, -22, 19, -44, -48, 0, -150, -1, -36, 9, 0, 12, 18, 14, 0, 0, -10, -54, -15, 6, 0, 10, 36, 18, 48, 0, -94, 56, 72, 0, 0, 9, -29, -33, 3, 0, -48, -1, 2, -108, 0, -20, -18, 0, -13, 0, 26, -42, 48, -15, 0, 12, -9, 10, -51, 0, 32, 18, 6, -60, 0, -6, -11, 27, -11, 0, -15, 29, 13, -9, 0, -57, -30, -8, -58, 0, -6, 3, -69, 4, 0, 9, 0, 48, 6, 0, 1, 5, 6, -4, 0, 12, -27, -1, -60, 0, 63, 4, -40, 36, 0, 2, -66, -5, 81, 0, -18, -12, 63, 12, 0, 10, 0, 28, 18, 0, -18, -4, 34, 30, 0, 3, 4, -27, 20, 0, -42, -60, -17, 0, 0, 36, 48, -3, -50, 0, 4, -2, 114, -38, 0, -2, 1, -6, -84, 0, -54, -37, 42, -6, 0, 0, 70, 18, -34, 0, -30, 17, -17, 31, 0, 26, -6, 9, 40, 0, 6, -30, -15, -3, 0, 36, -29, -18, 0, 0, 0, 6, 10, 3, 0, -1, -18, -10, 3, 0, 99, -16, 16, 10, 0, -18, 24, 24, 22, 0, 5, 10, 3, 21, 0, -30, -36, -27, -132, 0, 17, -14, 20, -22, 0, 34, 3, -10, -24, 0, 72, 25, 27, -2, 0, 27, 9, 0, -16, 0, 25, 45, 3, 9, 0, -16, 4, 1, -15, 0, 5, 18, -30, 48, 0, -12, -92, 17, -19, 0, 15, 11, -72, -18, 0, -42, -6, 18, -37, 0, 18, -14, -45, 6, 0, -3, 40, -54, 45, 0, -18, 62, -9, 12, 0, 15, 8, -6, -48, 0, 24, 1, 64, 10, 0, 54, -9, 38, 18, 0, -8, 30, 0, 5, 0, -26, 60, -5, 27, 0, 8, -18, -4, 39, 0, -8, 4, 18, 14, 0, 30, 12, 11, 9, 0, -12, -120, 10, 0, 0, 32, 0, 24, -41, 0, 42, 0, 6, -3, 0, 64, 56, -33, 38, 0, -1, -20, -19, 5, 0, 12, 3, -35, 28, 0, -9, 0, 24, 68, 0, 54, 84, -96, 10, 0, 5, 10, 9, -30, 0, 2, -18, -6, 15, 0, -19, -86, -17, 0, 0, -24, -9, 52, 66, 0, 30, -66, 1, -73, 0, 3, 37, -36, -24, 0, 13, -15, 48, -6, 0, 100, -22, -27, -12, 0, -54, 58, 12, -1, 0, -15, -6, -26, 27, 0, 14, -24, 2, 23, 0, 53, -18, 6, 3, 0, 0, 12, 30, 51, 0, 92, -18, -15, 21, 0, -4, 9, 63, 54, 0, 30, -25, -25, -1, 0, -33, 36, 22, -13, 0, 0, 1, 90, -3, 0, -9, -20, -15, -30, 0, -162, 32, -2, -34, 0, -12, -32, 12, 12, 0, 15, -6, 0, -40, 0, -18, 39, 32, 29, 0, 17, -18, 75, -3, 0, -8, 27, -27, -48, 0, -13, 17, 4, 60, 0, 12, -50, -55, -18, 0, -102, -3, -86, 3, 0, 33, 12, -1, 28, 0, 2, -40, -42, 4, 0, 6, 10, -30, -24, 0, -5, 27, -24, 30, 0, 10, -90, 12, -27, 0, 36, -9, -8, 8, 0, -40, 90, -6, 54, 0, -24, 3, 84, -10, 0, 16, -10, -6, -60, 0, 71, 15, 27, -60, 0, -3, 13, -22, 24, 0, 36, 9, -38, 18, 0, -30, 0, 0, -8, 0, 18, -3, 36, -24, 0, 30, 0, -24, 57, 0, 4, 0, 6, 17, 0, -10, 25, -3, 18, 0, 9, -2, -54, 28, 0, 2, 105, -3, 19, 0, -28, 30, -78, -25, 0, 40, 12, 7, -99, 0, -108, -1, 12, 0, 0, 1, -11, 20, -16, 0, 30, 2, -100, -3, 0, 24, 9, -11, -36, 0, 42, -29, 21, -5, 0, 37, 36, 6, -21, 0, -36, -4, -8, 3, 0, -42, 34, 24, 24, 0, -3, 9, 16, 25, 0, -37, 0, 9, -108, 0, 0, 66, 30, 4, 0, 4, -3, 9, 78, 0, 8, 9, 16, 12, 0, -5, -22, -22, -19, 0, 120, -12, -40, -8, 0, 6, -51, -9, 11, 0, 26, -18, 90, 19, 0, 18, 10, -6, -18, 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": "1050.2.a.j", "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], [6], [-1], [1], [-1], [0], [1], [-3], [1], [-4], [0], [1], [6], [3], [-1], [0], [1], [-1], [-1], [3], [0], [5], [1], [-6], [-3], [0], [1], [10], [-4], [-1], [0], [9], [1], [1], [6], [0], [3], [0], [-1], [1], [0], [3], [1], [-9], [-1], [0], [-1], [4], [3], [9], [0], [11], [5], [-1], [1], [0], [-6], [4], [-3], [-3], [0], [-12], [1], [10], [10], [0], [-4], [-6], [-1], [-10], [0], [1], [9], [-9], [1], [0], [1], [-3], [6], [-6], [0], [-1], [3], [-5], [0], [0], [-1], [-14], [1], [6], [0]]}