# Stored data for newform 2535.2.a.j, downloaded from the LMFDB on 25 April 2024.
{"label": "2535.2.a.j", "space_label": "2535.2.a", "level": 2535, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679891431, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2004366002156625992, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [7, [0, 1]], [11, [-4, 1]]], "qexp_display": "q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10140, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 20.242076912394577, "hecke_ring_index": 1, "level_radical": 195, "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": [2535, 1, [1691, 1522, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [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": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.925", "prec": 17}, {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "4.780", "prec": 17}], "related_objects": ["EllipticCurve/Q/2535/j"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [13, 1]], "trace_display": [1, -1, -1, 0], "traces": [0, 1, 1, -1, -1, -1, -1, 0, -3, 1, -1, 4, 1, 0, 0, 1, -1, 2, 1, -4, 1, 0, 4, 0, 3, 1, 0, -1, 0, -2, 1, 0, 5, -4, 2, 0, -1, 10, -4, 0, 3, -10, 0, 4, -4, -1, 0, -8, 1, -7, 1, -2, 0, -10, -1, -4, 0, 4, -2, 4, -1, -2, 0, 0, 7, 0, -4, -12, -2, 0, 0, 8, -3, -10, 10, -1, 4, 0, 0, 0, 1, 1, -10, -12, 0, -2, 4, 2, -12, 6, -1, 0, 0, 0, -8, 4, -5, -2, -7, 4, -1, 6, -2, -16, 0, 0, -10, -12, 1, -14, -4, -10, 0, 2, 4, 0, 2, 0, 4, 0, -3, 5, -2, 10, 0, -1, 0, -8, -3, -4, 0, -12, 4, 0, -12, 1, -6, 6, 0, -4, 0, 8, 8, 0, -1, 2, -10, 7, -10, -22, -1, 8, 12, 2, 0, 0, 0, 14, 0, 10, -5, 0, 1, 4, 10, 4, -12, 0, 0, 0, -2, -4, -4, -18, 2, 0, -4, -4, 6, 20, 1, -10, 0, 2, 0, -10, 0, 8, 8, 0, 4, 16, -7, -2, -2, 0, 7, -6, 4, -8, -3, 12, 6, 0, 2, 10, -16, 0, 0, -16, 0, 20, 10, -8, -12, -4, 3, 0, -14, 10, 4, 0, -10, -8, 0, 1, 2, 20, -4, -6, 0, 0, 6, -6, 0, 8, -4, 0, 0, 16, -1, 14, 5, -1, 2, 7, 10, 0, 0, 12, -1, 12, 0, 0, -8, 2, -17, 18, -4, 0, 0, -2, -12, 16, 12, 10, 0, -6, 12, 14, 1, -16, -2, 0, 6, 4, 0, 6, -4, 0, 0, 6, 8, -12, -8, -4, 0, 0, 5, -13, 2, 2, 10, -6, 7, -4, -30, -4, -22, 0, 1, 0, 8, -6, 4, 2, 2, -28, 0, 16, 0, -24, 0, 26, 14, 0, 0, 2, 10, -8, -7, 12, 0, -8, -1, 0, 4, 14, 30, 0, 4, -12, 12, 10, 0, 12, 0, -14, 0, -2, 2, 0, -4, 0, -12, 0, -18, -28, -2, 2, 0, 0, 20, -18, -4, -8, -6, 0, 20, 24, 3, -3, -10, -5, 0, 10, 2, -24, 0, -10, -10, 0, 0, -26, 8, 1, 24, 0, 0, 20, -4, 8, 16, 24, 3, 0, -2, 4, 2, 6, 0, 0, 21, 12, -6, 0, -4, 2, -8, 0, -1, -18, 12, 0, -6, -1, 0, 40, 6, -26, 10, -6, 16, 0, 0, 12, 0, 4, -16, 4, 0, 26, 20, -8, 30, 2, -8, 0, 12, 0, -4, 0, 1, -14, 0, -2, 14, 0, 10, 40, 12, -7, 0, -12, 10, -6, -8, 22, 0, -2, 1, -40, -2, -8, 20, 0, -12, -10, -6, -2, 0, 18, 0, -24, 2, 0, -6, 28, 0, 0, 8, -14, -12, 16, 0, -4, 0, -10, 16, 0, 5, 0, 14, 0, -5, 2, -1, -32, 6, -4, 7, 28, -10, -4, 0, -4, 0, 0, 12, -4, 1, 0, 12, -32, 0, -6, 0, 0, 8, 34, 2, 0, -11, 4, 18, 16, 4, -32, 0, 18, 0, 10, -2, 4, 12, 0, 16, 0, 4, -23, 10, 4, 0, 0, -6, 12, 36, -20, 14, -28, -1, -30, -16, 10, 10, 14, 0, -20, -6, -2, 4, 8, 0, 0, 6, 10, 4, 18, 0, 0, 0, -8, 6, 12, -8, -2, -12, 0, -24, -6, -4, -4, 0, -16, 0, 0, 7, -2, -13, 2, -2, 0, 2, -40, 30, 0, -6, 12, -7, 0, -4, 6, -10, -34, -4, 0, 22, 8, 0, -8, 3, 26, 0, -12, -8, -5, -6, -8, -20, 0, 2, 0, -2, -22, -28, -10, 0, 6, 16, 4, 0, 0, -24, 0, 0, 1, 26, 16, -14, 20, 0, 8, 0, -20, 2, 8, -10, 0, -8, 8, 3, -30, 12, 36, 0, 4, -8, 32, -3, 16, 0, 0, -4, 46, 14, 12, 10, -10, 0, 20, -4, -22, -12, 0, 36, 0, 10, 0, 0, 8, 12, -8, 0, -30, -14, -1, 0, 6, -2, 0, 6, -20, 0, -36, 4, -6, 0, 6, -4, 0, 0, 44, 18, 0, -28, 4, -6, -20, 2, 6, 0, -2, 0, -40, 28, -8, -18, 0, 4, 26, -8, 0, -18, 0, 0, 0, -20, -16, 24, -48, 1, 0, -3, -14, 10, -2, -5, -16, 0, 1, 10, 8, -2, -14, -24, -7, 0, -48, -10, 44, 10, 0, 0, 16, 0, 22, -26, -12, -8, 0, 1, 16, 8, -12, 0, -8, 0, -26, 20, 0, -12, 6, 8, 0, -16, -2, 24, 0, 17, -2, 0, -18, 2, -6, 4, 0, 6, 0, 6, 40, 0, 32, 0, 2, 7, -14, 12, -28, 6, -16, 0, 0, -12, 0, 2, -10, 8, -2, 0, -16, 5, 6, -18, -40, -12, 0, 0, -14, -18, 10, -1, -12, 0, 16, 40, -4, 2, -16, -26, 0, -10, -54, -6, 32, 48, -4, 0, 28, 0, 30, 12, -6, 0, -14, 4, 0, 16, 0, 4, -40, 0, -25, 26, -6, -20, 0, -8, 0, 10, 12, 2, 0, 8, -6, 0, 4, 36, -22, 0, -20, 4, 0, 0, 56, -5, 18, -14, 13, 0, 0, -2, 0, 42, -2, 0, 0, -10, -30, 40, 6, 4, -46, -7, 44, 0, 4, -12, 48, 30, 0, -6, 4, 8, 32, 22, -20, 0, 0, -2, 0, -1, -20, -40, 0, -6, 10, -8, -12, -20, 6, 0, 32, -4, -48, -10, -2, 6, 0, -2, 40, 0, 28, 18, 0, 0, 10, -24, -16, -10, -34, 0, 28, 6, 24, 28, -8, 0, -54, 0, -26, -8, 50, -14, 0, -4, 0, 16, 36, 0, 0, -4, -2, 0, -22, -10, -16, -16, 8, 0, 0, 7, -31, 0, -12, -14, 2, 0, -32, -15, 8, 2, 60, 1, 0, -32, 0, 2, -2, -4, 24, -7, -14, 28, 0, -30, 6, -4, 0, 0, 0, -4, 32, 0, 12, 0, 8, -12, 54, -4, -10, 3, 0, 0, 8, -12, -12, -32, 40, 0, -50, -6, 14, 0, 22, 0, 0, 24, 2, 34, 36, -2, 2, 0, 0, 23, -10, 4, 0, -18, 0, 16, 24, 12, 54, -32, 0, 0, -4, 18, -32, 0, 28, 10, 0, 2, 16, 4, -2, 36, -6, 0, -60, -16, 0, 0, -20, -20, 0, -23, 18, -10, -6, 4, -16, 0, 8, 0, -8, 6, -50, 12, 0, 12, -20, -20, 4, -14, -24, -28, 0, -3, 0, -30, 3, 16, 0, 10, 40, 14, 5, 14, -44, 0, 22, -20, -10, -18, -58, -2, 0, -4, 24, 8, -24, 0, 0, 0, 10, -6, -10, 10, 24, 12, 0, 18, 8, 0, -18, 0, 26, 0, -16, -8, -28, -6, -1, 12, 0, -24, 22, -2, 0, 12, -64, 0, -20, -8, -20, -6, -24, 4, 0, -4, -8, 0, 6, -16, 0, 0, -24, 0, 16, -3, 34, -2, 0, 13, 0, 2, 8, -6, -4, 0, 28, -2, 6, -40, -6, 10, 0, 0, -12, 6, 0, 12, -8, -21, -48, 0, -12, 4, 34, 6, 0, 50, 0, -34, 12, 4, 20, 0, -2, 66, -38, 8, -16, 0, 0, -8, -56, 1, 14, 26, 18, 0, -14, -12, 16, -24, 0, -5, 0, 6, -18, -8, 1, -28, -18, 0, 0, -2, -40, 0, 16, -6, -7, -22, 26, 28, 18, -10, 48, 0, 6, 6, 0, -16, -6, 4, 0, 0, -20, 0, 8, 24, -12, 0, -8, 0, 34, 1, -4, -26, 0, 16, -12, -42, -4, 20, -12, 0, 0, 8, -26, 0, 0, -20, 0, -2, 8, 8, 0, -30, 48, 0, -2, 8, 30, 8, 16, 17, 0, -30, -4, -12, -18, 36, 0, 0, -42, 4, 44, 8, 0, 32, 0, -1, -46, 16, 14, 0, 22, 0, 0, -12, 2, 46, 28, -14, 0, 12, 0, -50, 0, -10, -16, 0, -40, 20, 24, -12, 22, -22, 7, 12, -10, 0, -56, 12, 12, 0, -24, -10, 0, 0, 6, 0, 0, 8, 0, -12, -22, -8, 0, 0, -14, -30, 2, 14, -32, -1, 0, 0, 40, 6, 16, 2, 0, 0, 8, 2, 18, -20, 16, 0, 0, -36, -16, 12, 63, -6, 10, 0, 66, 6, -4, 20, 2, 0, 0, 0, -26, 44, -18, 54, -6, 0, 40, 28, 24, 4, 0, -2, 0, -20, 0, -2, -32, 6, -8, 0, -28, -2, 0, 0, -6, -40, 0, -12, 30, -8, -24, 18, 14, 0, 12, 12, 0, 26, -16, 8, 14, 0, 8, -6, 4, 0, 28, 0, -10, 0, 10, -60, -54, -16, 0, -24, 0, -48, 64, -5, -48, 0, 0, 3, 13, -14, -32, 30, 0, -2, 36, 5, 30, -16, -2, 0, 0, 1, 4, -10, 32, 8, 0, -6, 6, -14, 4, 24, 0, -7, 64, 0, -28, -48, 4, 10, 0, 44, 4, 30, -22, 0, -28, 0, 4, 16, -72, 0, -18, 22, 0, 26, 74, -12, 0, -24, 4, 0, -36, -1, 0, 16, 0, -40, 0, -12, 24, 0, 32, -8, -72, 0, 12, -26, 6, -20, -100, 0, 0, -4, 0, 6, -12, -8, -2, 0, -34, -48, -16, -2, -36, -24, 0, 0, 28, 11, 20, -2, -4, 0, 0, -18, 16, 6, -16, -6, 0, -4, 18, 0, 32, 2, -66, 0, 24, -6, -18, 40, 56, 0, 0, 32, -10, 0, -26, 2, -56, -35, -4, -14, -20, -12, 0, -28, 0, 18, 48, -16, 4, 0, 0, 0, 56, -4, -2, 0, 23, -2, 0, -10, 40, 24, -4, -2, 8, 0, 50, -16, 0, 7, -2, 6, 0, 18, -12, -40, 0, -36, -54, 0, 20, 0, 46, -14, 8, -6, 28, 10, 12, 1, 22, -12, 30, 0, 0, 16, 28, -40, -10, -4, 0, -10, 0, -16, -14, 26, 6, 0, -88, -30, 20, -54, 0, 6, 0, 32, 2, 16, -4, -4, 0, 0, -8, 28, 12, 0, -26, 30, 0, -12, 32, -6, -56, 0, -10, -14, -20, -4, -38, 0, -18, 48, 0, 0, -12, -4, 0, -40, 0, 0, 59, -25, 8, -26, 14, -6, 0, -60, -12, 0, -24, 8, -18, 0, 2, -50, 78, 12, 52, -2, 0, 0, 0, 24, 0, -6, 6, 0, -14, 4, -8, 12, 4, -22, 0, 0, 12, -20, 16, 12, -58, 0, -20, 0, 0, 56, 56, -7, 0, 18, 2, 14, -58, 13, 28, 0, -2, 0, -80, 2, 14, 0, 0, 14, -2, -2, -28, 0, 40, 0, -32, -30, -26, -30, 0, -40, 0, 6, 48, -20, -12, -46, -40, 7, 18, 44, 0, 0, 4, 4, 0, 12, -6, 48, 8, 10, 18, 0, 34, 6, 0, 4, 64, 24, 0, 32, -36, -22, -30, -20, -8, 0, 16, 0, -24, 2, 8, 0, 0, -3, 54, -20, -26, 40, 3, 0, 0, -2, 12, 10, -60, 8, -70, -12, 5, -60, 0, 6, -24, 0, 8, 32, 40, 20, -10, -48, 0, 10, 0, -2, 56, 18, 0, 0, 24, 2, 0, 40, 22, 0, 0, 28, 8, -18, 10, 0, -80, 0, -27, 10, -6, 24, -28, -16, 0, -14, -4, -34, 0, 0, -6, 28, 0, 18, 26, 24, 12, -28, 0, -8, 0, 0, -14, -54, -1, 0, -54, -26, -8, -24, -16, 50, 0, 14, 0, 0, -20, 20, -30, 0, 0, -16, -8, 36, -20, 0, 0, 0, 20, 4, 46, -2, -72, 0, -8, -22, 28, 10, 0, -16, 0, -48, 54, 8, -24, 0, -8, 0, -24, -3, 4, -31, 30, 0, 0, -12, 80, -42, -36, 2, 36, 0, -34, -32, -4, -5, 0, 8, 0, -2, -32, 60, 24, 3, -6, 0, -16, 32, 30, 0, 32, -10, 0, -2, 0, 4, 64, 24, -46, -21, -100, -14, 0, -28, -12, 0, 0, -10, 80, 6, 10, 4, -42, 0, 0, 0, -20, 0, 60, 4, 0, 32, 22, 0, -2, 12, -44, 0, 0, 8, -40, -36, 42, 54, 0, 4, -14, -10, -32, 1, 0, 0, 12, 0, 18, 8, -8, -36, 70, -12, 28, 32, 8, 40, 0, 0, -2, -50, 30, 6, -32, 14, 0, 0, 1, 22, -12, 0, 14, 0, -6, 8, 48, 2, -40, -34, 0, 36, -24, -6, 0, 2, 20, 0, 26, 0, 0, 45, 36, -10, 0, -4, 54, 0, 6, -54, 10, 0, -16, -16, -6, 24, 24, 4, 0, 54, 0, 32, -54, 0, 56, 0, -44, -4, -12, -18, 0, -32, 0, 0, -30, 28, -4, -10, -4, 0, 32, 6, -86, 16, 20, -4, 0, -2, -4, 12, -6, -6, 12, 0, 64, -60, 2, -48, -26, 0, -28, 0, 40, -20, 48, -28, 30, 0, 8, 23, 20, 18, 0, -30, 0, -6, -8, -4, -2, -16, -26, 0, 18, 8, 20, 0, 0, -8, 0, 18, 70, -50, 0, -12, -34, 0, 56, -60, 0, -20, -8, 20, 0, 4, 16, -42, 6, -24, 0, 28, 48, 0, -16, -1, -14, 0, 0, 30, 14, 3, -24, 48, 14, 0, 0, -10, 100, 40, 2, -6, 0, 5, -20, -14, 16, -44, 40, 0, 0, 22, -1, 20, -32, -10, 0, -6, -8, -58, -40, 2, 0, 0, 14, -12, 0, 24, 44, -8, 7, -24, 24, 0, 17, 0, 48, 0, -58, 10, 12, -18, -44, -10, 0, -10, 18, 24, 0, 4, 6, 0, -24, -18, -16, 8, 0, 0, 0, -18, -22, 0, 62, 26, 80, 0, 12, -16, -28, 8, 2, -28, 0, -18, 0, -1, 52, -12, -16, 0, 40, -8, -20, 22, 12, 2, 0, 0, 0, 36, 8, -64, -4, 0, -62, -20, 26, 40, -82, -20, 0, 6, 0, -24, -40, 12, 22, 0, -6, 4, 10, -8, 72, 0, 0, 6, 0, 16, 26, 0, 2, 0, 10, -24, -20, 0, 0, 16, 56, -17, -18, 34, 2, 2, -6, 0, 72, 39, 18, 0, 24, -2, 0, 8, 6, -2, 80, -4, 0, 0, 0, 28, 0, -6, 12, 6, 0, 40, -62, -6, -28, -50, -40, 0, -60, 0, 38, -12, -32, 18, 0, 0, 44, -12, -2, -8, 0, -7, 0, -48, 14, 0, -74, -12, 0, 12, 28, 34, -8, -6, -16, 0, 16, 70, 0, 0, -36, 34, 0, 12, 4, 12, 54, 20, 0, 0, 50, -2, 88, 22, 10, -38, 0, -8, 54, -16, 2, 0, 42, 0, 0, 8, 16, -56, -64, -5, 49, 14, -6, -26, 0, 18, 24, 0, 40, -14, 36, 12, 32, 16, 0, -8, 66, 0, -40, 5, 14, 0, -32, 18, -2, -18, -10, 8, 0, 1, 0, 12, 12, -18, 32, 0, -22, 0, -16, -6, 74, -40, 0, 0, 4, 16, -24, -2, 0, -7, 16, 22, -32, 26, -28, 84, 0, 18, 4, 10, 0, 48, 54, 0, 4, 6, -52, -6, -32, 0, 0, -48, 10, -6, 4, -4, 18, 0, -120, 0, -28, -20, 0, 0, 0, 8, -30, 72, 48, -12, 80, 0, 6, -8, 4, 0, 80, 34, 14, -1, 20, -4, 48, -78, 0, 0, 0, -16, 0, -12, 0, -14, 0, -4, 32, -20, 40, -12, -24, 0, 26, 0, 25, -8, 6, -26, 0, 0, 6, 0, 84, 20, -44, 0, 0, -6, 16, 8, -36, -8, 0, 0, 40, -10, -34, 48, -12, 0, 54, -2, 24, 24, 0, 30, 0, -8, -50, 16, 6, 11, 0, 0, -24, 30, -4, -4, 16, -36, 0, -18, 22, -36, 0, 0, -16, 0, 20, -42, 76, -4, -12, 44, 0, 24, 32, 0, 0, -32, -56, 0, 48, 5, -98, -46, -18, -16, 70, 14, 0, 0, -13, 22, -24, 0, -10, 0, 0, -4, -78, 2, 0, -46, 0, 28, -4, -42, 58, 0, 2, -12, 98, 0, -8, -70, 0, 0, 80, 10, 64, -16, 30, 0, 6, -40, 0, -20, -6, 24, 0, -4, 16, 22, 46, 22, 23, 7, -16, 36, -44, -10, 56, 0, 0, -56, -4, -60, -82, 12, 12, 0, -48, -24, 16, -30, 0, 0, 0, 0, 28, 6, 16, 0, -4, 0, -12, -8, 38, 0, -32, -36, 0, -22, -84, 8, 20, 0, -72, 0, -66, -14, 0, 30, 58, 2, 28, 42, 0, -32, 52, 1, -100, 0, 20, 0, 30, 40, -100, -6, 0, 16, -8, 6, 26, 0, -10, 0, 0, 8, -80, -10, 12, 18, 0, 20, -14, 16, -6, 0, -54, 0, -20, 36, -32, -16, 20, 4, 0, 63, 48, 6, -54, 10, 0, 0, 2, 66, 120, -6, 98, -4, 0, 28, 18, 2, -8, 0, -40, 0, 0, 0, 48, -26, -28, -44, 0, -18, -40, 18, 0, -6, 8, 0, -32, 40, -10, 84, -10, 24, 0, -4, 16, 0, 0, 10, -18, 0, 34, 20, 26, 0, 40, -6, -28, -32, 0, -6, -62, -8, -24, 0, 14, -28, 84, 2, 8, 0, 0, 0, 47, -6, 54, 40, 4, 0, -12, -68, 26, 30, -36, 8, 0, -24, -50, 54, 2, 14, 72, 0, 0, 12, 88, 4, 18, 0, 0, -26, -42, -16, 0, 24, -36, 14, 20, 0, 6, 8, 0, 30, 0, 4, 36, 0, 2, 28, 4, 0, -22, -10, 22, 0, 14, 10, 0, -20, 16, -54, 16, 16, -32, 0, -8, -72, 0, 0, 0, 48, 0, 64, -64, -7, -48, -48, 31, 0, 2, 0, -32, 9, 12, 13, -28, 14, 64, -32, -2, 10, 30, 0, 0, 2, 32, 36, -32, 15, 0, 30, -8, 16, -98, -2, -80, 0, -60, 0, 40, -1, 74, 4, 0, -30, 0, 32, 0, -8, 0, 0, 24, -2, -12, 6, 2, 14, 0, 4, -12, 72, -24, 0, -4, 7, -36, 64, 14, 0, 0, -28, 0, 48, 0, 4, 0, 30, 22, 0, -6, -44, 82, 4, 56, 10, 0, -22, -20, 0, 34, -28, 0, 0, -90, 4, 4, -16, -32, -72, 0, 0, 0, -18, -12, -22, -64, 0, -56, 78, -8, 74, 32, 12, 14, 0, -54, -8, 100, 4, 8, 0, 10, -36, 56, -3], "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": "15.2.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], [-1], [-1], [0], [-3], [1], [-1], [4], [1], [0], [0], [1], [-1], [2], [1], [-4], [1], [0], [4], [0], [3], [1], [0], [-1], [0], [-2], [1], [0], [5], [-4], [2], [0], [-1], [10], [-4], [0], [3], [-10], [0], [4], [-4], [-1], [0], [-8], [1], [-7], [1], [-2], [0], [-10], [-1], [-4], [0], [4], [-2], [4], [-1], [-2], [0], [0], [7], [0], [-4], [-12], [-2], [0], [0], [8], [-3], [-10], [10], [-1], [4], [0], [0], [0], [1], [1], [-10], [-12], [0], [-2], [4], [2], [-12], [6], [-1], [0], [0], [0], [-8], [4], [-5], [-2], [-7], [4], [-1]]}