# Stored data for newform 6050.2.a.bj, downloaded from the LMFDB on 19 April 2024.
{"label": "6050.2.a.bj", "space_label": "6050.2.a", "level": 6050, "weight": 2, "hecke_orbit": 36, "hecke_orbit_code": 157625986991527842, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 419770658022795073, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, 1]], [7, [-3, 1]], [13, [6, 1]], [17, [7, 1]], [19, [5, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{6}+3q^{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": 24200, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 48.30949322287463, "hecke_ring_index": 1, "level_radical": 110, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [6050, 1, [727, 2301], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 11], "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": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.975", "prec": 17}], "related_objects": ["EllipticCurve/Q/6050/bj"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [11, -1]], "trace_display": [1, 1, 0, 3], "traces": [0, 1, 1, 1, 1, 0, 1, 3, 1, -2, 0, 0, 1, -6, 3, 0, 1, -7, -2, -5, 0, 3, 0, 6, 1, 0, -6, -5, 3, -5, 0, -3, 1, 0, -7, 0, -2, -3, -5, -6, 0, -2, 3, 4, 0, 0, 6, 2, 1, 2, 0, -7, -6, 1, -5, 0, 3, -5, -5, -10, 0, -7, -3, -6, 1, 0, 0, -8, -7, 6, 0, 7, -2, 14, -3, 0, -5, 0, -6, -10, 0, 1, -2, -6, 3, 0, 4, -5, 0, -15, 0, -18, 6, -3, 2, 0, 1, 12, 2, 0, 0, -2, -7, -4, -6, 0, 1, 8, -5, 10, 0, -3, 3, 16, -5, 0, -5, 12, -10, -21, 0, 0, -7, -2, -3, 0, -6, 8, 1, 4, 0, -17, 0, -15, -8, 0, -7, 12, 6, 20, 0, 2, 7, 0, -2, 0, 14, 2, -3, -15, 0, -2, -5, 14, 0, 0, -6, -3, -10, 1, 0, 18, 1, -19, -2, 0, -6, 3, 3, 23, 0, 10, 4, 14, -5, 0, 0, -10, -15, 0, 0, 2, -18, -7, 6, 0, -3, 0, 2, -15, 0, 12, 1, -11, 12, 0, 2, -12, 0, -25, 0, -8, -2, -15, -7, 0, -4, -12, -6, 0, 0, 23, 1, 7, 8, 0, -5, -9, 10, 14, 0, 42, -3, 6, 3, 0, 16, -2, -5, 10, 0, 0, -5, 9, 12, 0, -10, -10, -21, -10, 0, 18, 0, 16, -7, 0, -2, 30, -3, -6, 0, 2, -6, 0, 8, 0, 1, 2, 4, -9, 0, 10, -17, 9, 0, 0, -15, -15, -8, -20, 0, 8, -7, -18, 12, 0, 6, -12, 20, 6, 0, 18, 2, -6, 7, 0, 0, -6, -2, 32, 0, 12, 14, -6, 2, 0, -3, 0, -15, -36, 0, 12, -2, -2, -5, 0, 14, -2, 0, -4, 0, -3, -6, 6, -3, 0, -10, 7, 1, 0, 0, 8, 18, 35, 1, 0, -19, 10, -2, 6, 0, -28, -6, 6, 3, 0, 3, -17, 23, 16, 0, 0, 10, -15, 4, 0, 14, 18, -5, -30, 0, 30, 0, -34, -10, 0, -15, -21, 0, 20, 0, 6, 2, 0, -18, 0, -7, -28, 6, 4, 0, 3, -3, -6, 0, 0, 2, 30, -15, -30, 0, 8, 12, -34, 1, 0, -11, -8, 12, -30, 0, -42, 2, -17, -12, 0, 0, 2, -25, -15, 0, -13, -8, 18, -2, 0, -15, 0, -7, 20, 0, 12, -4, -30, -12, 0, -6, 20, 0, 0, 0, 32, 23, -4, 1, 0, 7, -21, 8, 0, 0, 8, -5, 16, -9, 0, 10, -30, 14, -20, 0, -4, 42, -4, -3, 0, 6, -15, 3, -30, 0, 0, 16, -2, -2, 0, -5, 3, 10, 35, 0, -27, 0, -34, -5, 0, 9, -23, 12, -24, 0, -3, -10, 0, -10, 0, -21, -2, -10, 0, 0, 18, 18, 18, 0, 0, 16, 12, -7, -19, 0, 3, -2, 35, 30, 0, -3, 21, -6, 20, 0, 3, 2, 24, -6, 0, 0, 23, 8, 20, 0, 42, 1, 25, 2, 0, 4, 0, -9, 14, 0, 22, 10, -16, -17, 0, 9, 21, 0, 13, 0, 20, -15, 12, -15, 0, -8, 0, -20, 0, 0, 23, 8, 2, -7, 0, -18, 8, 12, 14, 0, 25, 6, -30, -12, 0, 20, 18, 6, -24, 0, 0, 18, -6, 2, 0, -6, 3, 7, 0, 0, -27, 0, 12, -6, 0, -2, -38, 32, -11, 0, -18, 12, 0, 14, 0, -6, 27, 2, 15, 0, -12, -3, 14, 0, 0, -15, -25, -36, 45, 0, -42, 12, 16, -2, 0, -2, -47, -5, -15, 0, -12, 14, -26, -2, 0, 0, -8, -4, 20, 0, -30, -3, -45, -6, 0, 6, 0, -3, 21, 0, -33, -10, 23, 7, 0, 1, -12, 0, -14, 0, -33, 8, -19, 18, 0, 35, 42, 1, 0, 0, -9, -19, 31, 10, 0, -2, -28, 6, -15, 0, 2, -28, 42, -6, 0, 6, -30, 3, 6, 0, 0, 3, 29, -17, 0, 23, 28, 16, 36, 0, -2, 0, 31, 10, 0, -15, 10, 4, -6, 0, -38, 14, 0, 18, 0, -5, 14, -30, 9, 0, -7, 30, 15, 0, 0, -34, -6, -10, -10, 0, 20, -15, -18, -21, 0, 0, -10, 20, 25, 0, -12, 6, 18, 2, 0, 0, 22, -18, 13, 0, -28, -7, 24, -28, 0, 6, 0, 4, -40, 0, 30, 3, -21, -3, 0, -6, 12, 0, 24, 0, 17, 2, 2, 30, 0, -15, -38, -30, 0, 0, 18, 8, 30, 12, 0, -34, 60, 1, 10, 0, 2, -11, -19, -8, 0, 12, -9, -30, 10, 0, 0, -42, 25, 2, 0, -17, 28, -12, 9, 0, 48, 0, 42, 2, 0, -25, -18, -15, -14, 0, 30, -13, 0, -8, 0, 18, -20, -2, 30, 0, -7, -15, 8, 0, 0, -7, -20, 20, 36, 0, 18, 12, 16, -4, 0, -30, 8, -12, -20, 0, -12, -6, -14, 20, 0, 0, 15, 0, 0, 0, -4, 32, 18, 23, 0, -4, 0, 1, -6, 0, -18, 7, -26, -21, 0, 8, -7, 0, 30, 0, -6, 8, 6, -5, 0, 16, 32, -9, 0, 0, 48, 10, -24, -30, 0, 14, 38, -20, -6, 0, 2, -4, -9, 42, 0, -4, 8, -3, 24, 0, 0, 6, -10, -15, 0, 3, -36, -30, 15, 0, -7, 0, 12, 16, 0, -2, 57, -2, 4, 0, 27, -5, 0, 3, 0, 10, -51, 35, -40, 0, -2, -27, -42, 0, 0, -34, 8, -5, 35, 0, -10, 9, -3, -23, 0, 12, 38, -24, 6, 0, -17, -3, -12, -10, 0, 0, 27, -10, -84, 0, 7, -21, 39, -2, 0, -10, 0, 0, 36, 0, -22, 18, -16, 18, 0, 18, -27, 0, 35, 0, -48, 16, 60, 12, 0, -7, 12, -19, 0, 0, -20, 3, -54, -2, 0, 35, 6, 30, 24, 0, -8, -3, -28, 21, 0, -6, -32, 20, 15, 0, 0, 3, 70, 2, 0, 24, -5, -6, -50, 0, -17, 0, 21, 23, 0, 8, -32, 20, 35, 0, -18, 42, 0, 1, 0, 25, 60, 2, -15, 0, 18, 4, -11, 0, 0, -9, 49, 14, 0, 0, 18, 22, -45, 10, 0, -16, -30, -17, -5, 0, 28, 9, -6, 21, 0, 0, -6, 13, -34, 0, 12, 20, 9, -15, 0, 12, 0, -15, 45, 0, 42, -8, 15, 0, 0, -20, 20, 0, 36, 0, 12, 23, 6, 8, 0, 2, -38, -7, 0, 0, -57, -18, -29, 8, 0, 12, -27, 14, -9, 0, -28, 25, -34, 6, 0, -30, 10, -12, 10, 0, 0, 20, 3, 18, 0, 6, -52, -24, -6, 0, 50, 0, -4, 18, 0, -6, 12, 2, 50, 0, 30, -6, 0, 3, 0, 7, -30, 0, 56, 0, -57, -27, -16, 0, 0, 12, 9, -6, -34, 0, 48, -2, -24, -38, 0, 32, 90, -11, 35, 0, -20, -18, 4, 12, 0, 0, -30, 14, 9, 0, -38, -6, -42, 27, 0, 2, 0, 15, 34, 0, -28, -12, 69, -3, 0, 14, -12, 0, 10, 0, 2, -15, 6, -25, 0, -36, 30, 45, 0, 0, -32, -42, -13, 12, 0, 16, -49, -2, 18, 0, 42, -2, -34, -47, 0, -5, -22, -15, 6, 0, 0, -12, 49, 14, 0, -26, 20, -2, -5, 0, 18, 0, -24, -8, 0, -4, 27, 20, -30, 0, -98, -30, 0, -3, 0, -45, -20, -6, 40, 0, -40, 6, 0, 0, 0, -3, 0, 21, 20, 0, -72, -33, 32, -10, 0, 23, 6, 7, -10, 0, 6, 1, 40, -12, 0, 0, -43, -14, -40, 0, -21, -33, 24, 8, 0, -19, 0, 18, 30, 0, 32, 35, 8, 42, 0, 1, -37, 0, 16, 0, 52, -9, -4, -19, 0, 31, 27, 10, 0, 0, -30, -2, 12, -28, 0, 6, -20, -15, -40, 0, -13, 2, -10, -28, 0, 42, 33, -6, -4, 0, 0, 6, -12, -30, 0, 3, 36, 6, 24, 0, 30, 0, 70, 3, 0, 29, -30, -17, -35, 0, -33, 23, 0, 28, 0, 16, -60, 36, 4, 0, 18, -2, -10, 0, 0, 31, -48, 10, -28, 0, 3, -15, 51, 10, 0, 4, -7, -6, -36, 0, 18, -38, -27, 14, 0, 0, -70, 18, -34, 0, -48, -5, -75, 14, 0, -30, 0, 9, -10, 0, -23, -7, -42, 30, 0, 15, -24, 0, -35, 0, 42, -34, 6, -6, 0, -10, -60, -10, 0, 0, -10, 20, -4, -15, 0, -18, -32, -21, -55, 0, -5, 0, 46, -10, 0, 20, 0, 25, 35, 0, 0, -12, 18, 6, 0, 18, 8, 2, -36, 0, -52, 0, 46, 22, 0, -18, -6, 13, -55, 0, 12, -28, 0, -7, 0, 24, 38, -28, -96, 0, -22, 6, 3, 0, 0, 4, 69, -40, 35, 0, 18, 30, -4, 3, 0, -21, -47, -3, -5, 0, 21, -6, 54, 12, 0, 0, 20, 24, -20, 0, 50, 17, -6, 2, 0, 2, 0, 30, 24, 0, 57, -15, 105, -38, 0, -30, 6, 0, -6, 0, -46, 18, -29, 8, 0, 30, 20, 12, 0, 0, -12, -34, 42, 60, 0, 1, -5, 10, -5, 0, -48, 2, -4, -11, 0, -19, 126, -8, 70, 0, 0, 12, -6, -9, 0, -30, -28, 10, 10, 0, 18, 0, 22, -42, 0, 25, 52, 2, -16, 0, 42, -17, 0, 28, 0, -12, 30, 9, 55, 0, 21, 48, -71, 0, 0, 42, 13, 2, -6, 0, -12, -25, 50, -18, 0, -15, 38, -14, 12, 0, -52, 30, 30, -13, 0, 0, 2, -8, -5, 0, 0, 18, 24, -20, 0, -2, 0, 30, -25, 0, -28, -7, 23, -15, 0, 8, 18, 0, -4, 0, 27, -7, 42, -20, 0, 20, 2, 36, 0, 0, 8, 18, -3, 12, 0, 16, 35, -4, -84, 0, -48, -30, 25, 8, 0, -12, -17, -20, -30, 0, 0, -12, -16, -6, 0, -14, -52, 20, -35, 0, 18, 0, -30, 15, 0, 0, -24, 0, 84, 0, -37, -4, 0, 32, 0, 18, 54, 23, -6, 0, 75, -4, -26, 0, 0, 1, 12, -6, 80, 0, 48, -18, 102, 7, 0, -26, 0, -21, 80, 0, 50, 8, -27, -7, 0, 0, 14, 30, -24, 0, 57, -6, -16, 8, 0, 6, 0, -5, 90, 0, -38, 16, -6, 32, 0, -9, 22, 0, -6, 0, 22, 48, -18, 10, 0, -24, -33, -30, 0, 0, 28, 14, 56, 38, 0, -20, 6, -6, 50, 0, 27, 2, -8, -4, 0, -9, 15, 42, 35, 0, 0, -4, 24, 8, 0, -3, -7, 24, 14, 0, -72, 0, -54, 6, 0, -10, 32, -15, -10, 0, 50, 3, 0, -36, 0, -30, 45, 15, 6, 0, -22, -7, -42, 0, 0, 12, -120, 16, 40, 0, -27, -2, -6, 57, 0, -2, -60, 4, -56, 0, -47, 27, -61, -5, 0, 0, 30, 3, 30, 0, 52, 10, -12, -51, 0, 35, 0, -40, -26, 0, 27, -2, -60, -27, 0, -42, -32, 0, -27, 0, -8, -34, -70, 8, 0, -5, 20, 35, 0, 0, 33, -10, 6, 9, 0, -3, 68, -23, -45, 0, -43, 12, 26, 38, 0, -24, -2, 6, -5, 0, 0, -17, -60, -3, 0, -12, 21, -10, 30, 0, 21, 0, -33, 27, 0, -10, 24, -84, -46, 0, 52, 7, 0, -21, 0, 39, 12, -2, -36, 0, -12, -10, -11, 0, 0, 0, -35, 36, 10, 0, -112, -22, -33, 18, 0, -16, -4, 18, -19, 0, -7, 18, 34, -27, 0, 0, 90, 35, -36, 0, 42, -48, 40, 16, 0, 60, 0, 12, 30, 0, -48, -7, 18, 12, 0, -19, 20, 0, 31, 0, -3, -20, 12, 3, 0, -54, 54, -2, 0, 0, -70, 35, -69, 6, 0, 30, -15, 24, -60, 0, -18, -8, 2, -3, 0, -28, -2, 21, -84, 0, 0, -6, -21, -32, 0, 20, 28, 15, 20, 0, -30, 0, 36, 3, 0, 70, -12, 2, -4, 0, -38, 24, 0, -5, 0, -6, -88, -50, 29, 0, 8, -17, 96, 0, 0, 21, -68, 23, -40, 0, 28, 8, -40, -32, 0, 20, 36, 35, -15, 0, 18, -18, 4, 42, 0, 0, -90, 1, 31, 0, -18, 25, -56, 60, 0, 2, 0, -15, -35, 0, -20, 18, 44, 4, 0, -11, -6, 0, -70, 0, -50, -9, -38, 49, 0, 14, 24, 0, 0, 0, -52, 18, -19, 22, 0, -45, 43, 10, 50, 0, 14, -16, -108, -30, 0, -17, -18, -5, -10, 0, 0, 28, -7, 9, 0, -6, 8, 21, 15, 0, 8, 0, 66, -6, 0, 13, -70, -34, 114, 0, -6, 12, 0, 20, 0, 9, -10, -15, -20, 0, 73, 12, 50, 0, 0, -15, -38, 45, -18, 0, 38, 42, 46, -8, 0, 15, -80, 0, -6, 0, 20, -20, 39, 20, 0, 0, 25, 36, -56, 0, -13, 12, -12, 23, 0, 6, 0, 8, -36, 0, -18, 2, -2, -38, 0, -7, -9, 0, -10, 0, 22, -57, 30, -18, 0, -29, -35, 8, 0, 0, 18, 12, -28, -27, 0, 14, -60, -9, 24, 0, -21, -28, 36, 25, 0, -34, 63, 6, -43, 0, 0, -30, 24, 10, 0, -12, -40, 10, 21, 0, -17, 0, -60, 20, 0, 3, 119, 18, -21, 0, 72, 6, 0, -52, 0, -24, 22, -6, 40, 0, 30, 50, 34, 0, 0, -4, 24, 18, -84, 0, -37, -6, 17, 12, 0, 2, 21, 50, -4, 0, 105, 30, -42, -6, 0, 0, 57, 3, 90, 0, -38, 7, -31, -30, 0, 0, 0, 56, 4, 0, -43, -57, 18, -27, 0, -16, 23, 0, 30, 0, 50, 12, -34, 9, 0, -6, -58, -34, 0, 0, 60, 48, 4, -2, 0, -24, 10, -38, 55, 0, 87, 32, -4, 90, 0, -11, -84, 35, -19, 0, 0, -20, -12, -18, 0, 4, 0, 12, -84, 0, 18, 0, -39, -30, 0, 14, 10, 9, -35, 0, 52, -38, 0, -6, 0, -42, -53, 27, -5, 0, 28, 2, -12, 0, 0, 15, 87, 34, -51, 0, 28, -28, -140, -12, 0, 69, -18, -3, -24, 0, 23, 14, 48, -12, 0, 0, -38, 10, 42, 0, -68, 2, -31, -15, 0, 6, 0, -25, -55, 0, -18, -36, 39, 30, 0, 45, -14, 0, 65, 0, -59, -32, 75, -42, 0, -13, 30, 12, 0, 0, -47, 16, -40, -49, 0, -2, -82, 18, 20, 0, 40, 42, -44, -2, 0, -34, 30, -47, 54, 0, 0, -5, -7, -22, 0, -15, -2, 6, -16, 0, -72, 0, -90, -12, 0, 49, -28, 14, 30, 0, -20, -26, 0, 20, 0, -2, 90, -5, 25, 0, 48, 18, 18, 0, 0, -24, -3, -8, 16, 0, -102, -4, 56, 27, 0, 20, 18, -30, 24, 0, 8, -98, -72, -30, 0, 0, -20, -3, 85, 0, 2, -45, 24, -20, 0, -6, 0, 40, -14, 0, 14, -40, -1, 6, 0, 0, 60, 0, 66, 0, -3, -3, 60, 0, 0, 21, 0, 20, 0, 0, 8, -72, -4, -33, 0, 32, 18, -10, -36, 0, 32, 23, 105, 6, 0, 7, -40, -10, -20, 0, 0, 6, -96, 1, 0, 40, 12, -12, 65, 0, -62, 0, -18, -43, 0, -14, -78, -40, -26, 0, 72, -21, 0, -33, 0, 24, 14, 8, -84, 0, -7, -19, 18, 0, 0, 18, 30, 30, 0, 0, 75, 32, 12, 35, 0, 8, 150, 42, 6, 0, -42, 1, 49, -37, 0, 0, 2, 16, 96, 0, -64, 52, -60, -9, 0, -4, 0, -19, 0, 0, -18, 31, 48, 27, 0, 10, 43, 0, -60, 0, -48, -30, -28, -2, 0, 12, -21, -28, 0, 0, 38, 6, 26, -20, 0, -15, 12, -40, 90, 0, -100, -13, 2, 2, 0, -10, -92, -28, -9, 0, 0, 42, -90, 33, 0, -6, -97, -4, 0, 0, 8, 0, -64, 6, 0, -12, 24, -30, 21, 0, -88, 3, 0, 36, 0, 6, 67, 24, -10, 0, -102, 30, -76, 0, 0, 70, 82, 3, 5, 0, 72, 29, -9, -30, 0, -17, 15, -35, 0, 0, -42, -33, -7, 23, 0, 0, -8, 28, -24, 0, -8, 16, 74, -60, 0, 36, 0, 4, -10, 0, 57, 18, -90, -2, 0, -10, 10, 0, 15, 0, 2, 31, 27, -48, 0, 10, -126, -28, 0, 0, -87, 3, -138, -15, 0, 51, 16, 10, 95, 0, -51, 4, 6, -7, 0, -6, -40, -36, 45, 0, 0, 18, 4, -38, 0, -27, 28, 14, -42, 0, 133, 0, -20, -70, 0, 18, -48, -34, 6, 0, 20, -48, 0, -5, 0, -75, 35, 14, -30, 0, -42, -30, -10, 0, 0, 9, 7, -10, 6, 0, 58, -23, -9, -7, 0, -42, -39, 30, -52, 0, 38, 15, -60, -24, 0, 0, -12, -35, 90, 0, 54, 42, -17, -34, 0, 6, 0, -6, -12, 0, 75, -10, -86, -60, 0, -10, -32, 0, -21, 0, 27, -10, -84, 20, 0, -4, -84, -15, 0, 0, -52, -18, -14, -32, 0, -21, 38, -55, 39, 0, -8, -5, 60, 0, 0, 46, -14, -10, 10, 0, 0, 20, -161, 0, 0, 25, 36, 35, 60, 0, -32, 0, -22, -12, 0, 18, -8, 6, -40, 0, -20, 18, 0, 8, 0, 2, -38, -36, -36, 0, -27, -52, 39, 0, 0, 46, -70, 22, -60, 0, -14, -18, -48, -6, 0, 13, -32, -55, 60, 0, 48, 12, 30, -28, 0, 0, 52, -7, 10, 0, 12, 24, 0, 38, 0, -28, 0, -96, -45, 0, -98, -22, -50, 6, 0, 3, 96, 0, -54, 0, 12, 4, 26, 69, 0, -40, 87, 35, 0, 0, -12, 18, -29, 30, 0, -4, 24, 3, -80, 0, 52, -21, -8, -47, 0, -3, -60, -5, 56, 0, 0, 21, 15, -6, 0, 54, 20, 12, -14, 0, -32, 0, -28, 20, 0, 24, -3, -20, 10, 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": "110.2.a.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], [3], [1], [-2], [0], [0], [1], [-6], [3], [0], [1], [-7], [-2], [-5], [0], [3], [0], [6], [1], [0], [-6], [-5], [3], [-5], [0], [-3], [1], [0], [-7], [0], [-2], [-3], [-5], [-6], [0], [-2], [3], [4], [0], [0], [6], [2], [1], [2], [0], [-7], [-6], [1], [-5], [0], [3], [-5], [-5], [-10], [0], [-7], [-3], [-6], [1], [0], [0], [-8], [-7], [6], [0], [7], [-2], [14], [-3], [0], [-5], [0], [-6], [-10], [0], [1], [-2], [-6], [3], [0], [4], [-5], [0], [-15], [0], [-18], [6], [-3], [2], [0], [1], [12], [2], [0], [0]]}