# Stored data for newform 2535.2.a.e, downloaded from the LMFDB on 25 April 2024.
{"label": "2535.2.a.e", "space_label": "2535.2.a", "level": 2535, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543038951, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1319219605865432177, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [7, [2, 1]], [11, [0, 1]]], "qexp_display": "q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\\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": "0.018", "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": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.132", "prec": 17}, {"__RealLiteral__": 0, "data": "4.868", "prec": 17}], "related_objects": ["EllipticCurve/Q/2535/e"], "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, -2], "traces": [0, 1, -1, 1, -1, -1, -1, -2, 3, 1, 1, 0, -1, 0, 2, -1, -1, -2, -1, -2, 1, -2, 0, 8, 3, 1, 0, 1, 2, 2, 1, 2, -5, 0, 2, 2, -1, -8, 2, 0, -3, 2, 2, 4, 0, -1, -8, -4, -1, -3, -1, -2, 0, -6, -1, 0, -6, -2, -2, -12, 1, 10, -2, -2, 7, 0, 0, 6, 2, 8, -2, -8, 3, 16, 8, 1, 2, 0, 0, -8, 1, 1, -2, -12, 2, 2, -4, 2, 0, 6, 1, 0, -8, 2, 4, 2, -5, -16, 3, 0, -1, 2, 2, -16, 0, 2, 6, 8, -1, -16, 0, -8, 2, -14, 2, -8, -2, 0, 12, 4, -3, -11, -10, 2, -2, -1, 2, 0, 3, 4, 0, -12, 0, 4, -6, -1, -6, -6, -8, 4, -2, -4, 8, 0, -1, -2, -16, -3, 8, 14, -1, 14, -6, -2, 0, -2, 0, 14, 8, -6, 5, -16, -1, -18, -2, 0, 12, -20, -6, 0, -2, -2, -4, -10, -2, -2, 0, -12, -6, -12, 1, -6, 0, 10, 24, 8, -2, 0, 4, -2, -2, -20, 7, 4, 16, 0, 3, -22, 0, 24, 3, 6, -2, -4, 2, -2, 16, 8, 0, 0, -2, -12, 6, -8, -8, -4, 3, -4, 16, 16, 0, 0, 8, 22, 10, 1, 14, 0, 2, 8, 8, 0, 6, -14, 0, 4, 12, -8, -4, -8, 1, 12, 11, 1, -10, 3, -2, 0, 6, -12, 1, 0, 2, 0, 0, 2, -17, -30, -4, 16, 0, 2, 12, 12, 0, 6, -4, 6, -6, 10, 1, -14, 2, 0, 6, 0, -8, 2, -4, 2, 6, -6, 4, 4, 8, 2, 0, -4, -5, -13, 2, -16, -16, -18, 3, 12, -24, 0, -14, 0, -1, -8, -14, 2, 2, -10, 2, 26, 0, -16, 2, -4, 0, -10, -14, 2, 8, 26, 6, 0, -7, 8, 16, 4, -1, 0, 18, -16, 6, 8, 0, 26, 12, -8, 20, -6, 2, -6, 0, -14, -2, 0, 2, 20, 12, -8, 10, -20, -2, -20, 2, 0, 0, -30, 12, 8, -6, 4, 12, 4, -3, -15, 6, -11, 0, -16, -10, 0, -8, 2, -8, 12, -2, -38, 0, -1, -12, 0, 2, 30, -2, 0, 20, -4, 3, 0, -4, 4, 16, 38, 0, -16, -9, -12, 22, 8, 0, 8, -24, 4, -1, -10, -6, 0, -2, -1, 4, 0, -6, 12, 2, -6, 16, 24, -8, 12, 0, 4, 0, -12, -2, 40, 12, -4, -18, -2, 8, -20, -8, 0, 4, -12, -1, -14, 4, -2, 16, -16, -16, -16, 0, -3, 0, 24, 8, -6, -22, 14, -14, 6, -1, 0, 14, 14, 0, 0, -6, -8, -8, -2, 8, 34, 0, 14, -2, -2, 14, -36, 0, -12, -4, 14, -36, 0, 8, -2, -4, -6, 8, 0, 5, 0, -12, -16, 11, 16, -1, -18, 30, -18, -3, 40, -2, -4, 0, 0, -2, 16, 12, 10, 1, -20, 0, -4, -6, -2, 0, 0, 0, -6, -2, -32, 11, -2, 30, 16, -4, 0, -16, -10, 0, 22, -2, -28, 12, -2, -12, -4, 0, 41, -6, -12, -4, 0, -6, -8, 18, -12, -10, 0, 1, -8, 14, -6, 10, 16, 0, -4, 6, 10, 0, -4, 24, 16, -2, 8, -4, 6, -2, 0, -2, 0, 6, -24, 4, 14, -4, -2, -24, 30, -2, 4, 0, -20, 4, 8, 7, -4, 13, 4, 2, 24, 16, 0, 48, 0, 18, -28, 3, -4, -12, -22, 8, -10, 0, -4, -14, 24, 0, 16, 3, 38, 8, 6, -14, 11, -2, -8, 10, -4, 10, 0, 2, -16, -26, -2, 0, 10, 16, 38, 2, 8, 4, -12, 0, 1, 10, 0, -14, 16, -2, 38, -24, -12, -26, 0, 6, 0, 0, -8, -3, 18, -8, 14, 16, -4, -4, -28, 3, 0, 0, -4, 18, -2, 16, 12, -2, 16, -8, 48, 0, -4, -26, 0, -36, -4, 8, 16, 20, 22, 6, 0, 10, 14, 6, 1, 0, -6, 14, 32, 6, 0, 0, -16, 2, 6, -20, 8, -4, 0, 8, 10, 10, 0, 20, -4, 6, -4, 20, -14, 2, -18, 0, 16, 0, 4, 30, -4, 12, -32, -8, -8, 18, 16, -4, 0, 12, -8, -4, 36, 1, 32, 15, 12, 6, 2, 11, 40, 0, 1, 16, -8, -10, -12, 0, 3, -40, 0, -2, 6, -8, 0, -12, 8, 6, -14, 38, -12, 0, -16, 1, 32, 4, 0, 0, -14, 2, -22, -30, 0, 6, -38, 0, 32, 20, 2, 4, 0, -17, -40, 0, -30, -4, 54, -4, 2, -48, 16, -38, -4, 0, 0, 16, 2, 3, -14, 12, -38, 22, 12, -8, 28, 0, 0, -8, 6, -24, 50, -4, 8, -5, 6, 10, 0, -6, 16, 0, 10, 6, -18, 1, 14, 4, -14, 0, 18, 2, -8, -12, 0, 2, -18, 6, -24, -48, 0, -24, 8, -8, -34, -12, 2, 0, 6, -4, 20, 0, 2, 12, 24, 6, -25, -40, -6, 12, 0, 4, 22, 6, 4, 2, -64, 8, 24, 20, 2, 24, -38, 0, -28, 4, -4, 12, 36, -5, 10, 14, -13, 4, 0, 2, 0, -48, -16, 16, 2, -16, 16, 16, -18, 0, 30, 3, -28, 0, 12, -24, -16, -24, 0, 6, 0, -22, 8, -14, 12, -6, 0, -6, 4, -1, 12, 0, -8, -42, 6, -14, 44, 0, 2, 0, 20, 2, 0, 8, -10, -8, 24, 2, -32, -24, 26, -34, 0, 0, -8, -14, -16, -10, -22, 2, 6, 14, -4, 36, 0, 0, 38, 12, -10, -4, -50, -14, 16, 12, 2, 0, 12, 8, 0, 2, 26, 12, -30, 6, 20, 8, 0, 0, 12, -7, -27, 0, 8, -12, -4, 16, -58, -33, 4, -16, 0, -1, -8, 18, 0, -10, 38, 18, 0, -3, -16, -40, 32, 6, 22, 4, 8, 0, 32, 0, 16, -10, 26, -16, -24, 12, -42, -10, -8, -3, 0, 20, 24, 0, -6, 4, 12, 2, 4, 2, -6, 0, -18, 0, 4, 0, -14, 6, 56, -2, 44, 32, 0, 23, 2, 2, 0, 30, 20, -16, 4, 12, -16, 0, -8, -16, -20, 10, 24, 0, -20, -22, -28, -2, 0, 28, -20, -36, -6, 2, -34, -12, 0, 4, 12, 0, -28, -41, -30, -6, -18, 12, -48, 12, 8, 0, 0, -6, -14, 8, 4, -6, -16, 12, 4, -10, 4, 0, 0, -3, -32, 8, -15, 14, 4, 6, 30, -14, -11, -16, 12, 0, 26, 4, -16, -18, -18, -10, -28, 0, 0, 4, -4, -8, 0, -16, 2, -2, -18, -8, 0, 12, 12, -6, -22, -2, 34, 0, -38, -10, 24, 0, -6, 6, -1, 24, -24, -12, -4, -14, 0, -4, 0, 2, 0, 8, 30, -30, -12, -2, 36, -4, 0, 0, -8, 20, -16, 4, -4, -8, -60, 3, -46, 4, 0, 13, 0, -4, -20, -6, 4, -24, -36, 16, 14, 0, 38, -16, 40, 0, 4, 18, -16, 28, -4, -9, 0, 4, -12, -12, -50, 22, 0, 40, 8, 10, 56, 0, 4, 4, 8, 42, 18, -24, 8, 0, 4, -16, 0, -1, -32, -38, -10, 8, -12, -6, 16, 42, 0, -11, 20, -2, 22, 8, -1, -14, -58, 4, -48, 10, 0, 0, 16, -6, -3, 16, 12, -26, -22, 2, 40, 0, -6, -10, 0, 16, 28, -38, 24, -6, -32, -8, 0, 4, 12, 12, 8, 0, -14, -1, 4, 10, 24, 0, 0, 42, -12, -16, -68, -2, 0, -38, 40, 8, 0, 12, 12, -26, -4, 0, 4, -18, -12, 0, -2, 0, 18, 8, -62, 17, -20, -18, -48, -8, 30, -14, 0, -48, -18, 4, 12, -4, -12, 28, -16, -1, -30, 0, -14, 0, -10, 4, 8, -54, -2, 2, 0, 16, 0, -12, -16, -10, 0, -16, -12, -8, -16, -48, -52, 0, -56, 4, -3, -26, -6, 0, 56, 12, 24, 4, 0, 8, 8, -16, -6, -60, 40, -22, 0, 6, 14, 0, 16, -14, -10, -14, 6, 6, 16, -1, -8, 0, 0, 6, 14, 14, -96, -32, 14, -2, 50, 0, -8, 0, 0, 16, 56, -6, 27, -6, -8, -20, -10, -8, 0, -20, -2, 0, 44, 8, 22, -10, 34, -30, -2, 0, -32, 20, 14, 4, 0, -2, -48, 4, -2, 20, 0, 14, 10, -6, -36, 18, 80, 0, 6, -16, -12, 0, -50, -4, 24, 30, 14, 4, -4, -36, 0, 32, 0, -8, -6, 8, -18, -6, -2, -16, -44, -4, -54, 0, -6, -36, -18, 8, 4, -4, 0, -36, -16, 5, 0, -32, 0, 15, 13, -12, -64, -18, -16, -2, 68, 11, -14, -40, 16, 0, -8, -1, -36, 16, -18, 8, 0, 30, 18, 12, -18, 0, 0, -3, 38, 56, 40, 0, -12, -2, 24, -6, -4, 24, 10, 0, -44, -12, 0, -8, 24, -2, -4, 14, 16, 38, 46, 12, 0, 0, 10, 16, -68, 1, 16, -32, -20, 20, 8, 0, 0, 0, -4, 14, -12, -6, -12, 22, -2, -30, -16, 0, -6, -2, 0, 38, -28, 0, 10, -32, -6, -60, 0, -2, 12, 4, -32, 0, -26, 11, -12, 40, -2, 0, 48, 30, 40, 12, 16, -54, 0, -4, -60, -2, 0, 16, -58, -16, 4, -38, -10, 4, -20, 0, -44, 0, 22, 16, 10, -2, -10, 15, -28, 14, -28, 12, 0, 38, -2, -66, 24, -12, -10, -8, -4, -28, 64, 0, -26, 0, 41, -8, 0, -6, -32, 72, -12, -50, 0, -4, 12, -8, 0, 7, 34, -6, -16, 10, -8, 0, 48, 18, 42, -16, -12, 0, -42, -10, -4, -2, 0, 18, 56, 1, 26, -14, -8, -12, 0, 14, 26, 0, -6, -18, 28, 10, -64, 8, 16, -12, -6, 0, 0, -6, -4, 18, -12, 6, -8, 24, 10, 16, 32, 0, 0, -24, -4, -8, -26, 24, 36, 34, 16, -12, 0, -2, 40, 0, 8, -6, 20, -4, 8, -20, 6, 0, 16, -2, 6, 12, 0, -24, 128, -2, -37, 25, 0, -40, 6, 6, -24, -36, -24, 0, -12, 4, -2, -22, 14, 30, -42, -4, -12, 2, -2, 64, 0, -24, 0, -24, 30, 20, -30, -2, -24, -8, 4, 38, -20, 0, -4, 28, -20, -12, 2, 4, 42, 12, 8, -36, 0, 7, 0, -10, -4, 14, -18, 13, 20, -12, 4, 0, 32, 2, 70, 0, 24, 16, 20, 16, 22, 16, 0, -2, 32, 48, 24, -16, 0, 16, 0, 18, 24, 0, -28, -30, 8, 3, 30, 28, -4, 0, 20, -12, 0, -24, -22, 16, -8, 8, 70, 0, -10, 6, 0, 0, 34, 66, -4, -8, -8, -14, -44, -12, 24, 34, 0, 0, -4, -6, 16, -4, 60, 3, -16, -12, 38, 0, 15, 8, 0, 14, 6, -6, -24, -14, 24, -44, 11, 0, -64, -2, -16, 0, -8, -20, 24, 10, 16, 0, -4, 8, -24, 10, 42, 24, 0, -24, 0, 2, 0, 32, -16, 8, -24, -26, 32, -34, -2, 0, -48, 0, -27, 8, 10, -14, 32, 16, -12, 14, 38, 22, 0, 2, -28, -6, 8, -42, 38, 4, -30, 36, -12, 0, 24, 0, 30, -38, 1, 12, -66, 10, 62, 12, 0, 50, -20, -14, 0, -16, 16, 60, -26, -2, 20, 0, 38, -12, -30, -24, 28, 0, -12, 2, 38, -26, 0, -4, 0, 30, -4, 6, -96, -20, 0, -24, -34, 0, 4, 0, -8, -12, -4, -3, 28, 27, 18, 0, 0, -8, -8, 36, 14, 4, -12, 16, 62, 58, -4, 11, 0, -4, -4, -16, -28, 0, 12, 3, -38, 8, 0, 18, 62, 0, 8, -50, -4, -38, 16, 18, 32, 0, -2, 9, 48, 16, 0, -40, 12, -32, 12, -2, 0, -22, 16, 4, -78, -8, -8, 0, 48, -32, 0, 0, -8, -16, -4, 14, -8, -26, 26, -16, 0, 24, 0, -36, 70, 42, -4, -10, 18, 8, -40, 1, 16, 0, -36, 20, 10, -24, 22, 0, -6, 6, 20, 4, 0, -12, 0, 10, -16, -4, 14, 2, -16, 6, 26, 0, 1, 18, -48, 0, 46, -4, -6, 0, -16, 14, 0, 6, 32, -56, 48, 6, 0, -44, 0, 32, -12, 0, 48, -45, -16, -2, 36, 2, -58, 0, 6, -90, 22, -20, -16, -16, 8, -4, -44, -4, -24, 16, 0, 0, -30, 8, 32, 48, 10, 20, -12, 10, 12, -24, 0, 0, -74, 20, 28, -22, -4, 28, 84, 6, -58, 0, -4, 28, 0, 20, 12, 12, -14, 6, 24, 2, 0, 34, -18, 36, -40, 0, -12, 4, 16, -12, 36, 0, 16, 28, 4, -41, 32, 30, 0, 18, -4, 18, 0, 12, 2, 48, -32, -4, 66, -8, -20, 0, -8, 0, 20, 18, 60, 14, 16, 8, 78, -4, 82, -30, 0, 16, 28, 12, -52, -4, -8, 30, -66, -4, 12, 0, 36, 0, 0, 1, -2, 32, 32, 8, 14, 15, 0, -42, 12, -4, 0, 6, -12, -30, 2, -6, 8, 11, 2, -16, 40, -12, 96, 0, 16, -26, 1, 4, 0, 16, 20, 6, -8, 18, 16, -10, 0, 28, -12, 0, -16, 0, 70, 4, 3, 4, -84, -40, -31, 0, 0, -16, 54, -2, -24, 6, 6, 18, -52, -8, 0, 0, 0, -4, 6, -12, 24, -6, 8, 22, -128, 6, 0, -34, -14, 0, -90, 38, 48, 14, -12, -24, 32, 0, -6, 6, -16, -18, 0, 1, 22, 24, 32, 24, 0, 4, -80, 4, 0, -14, -8, 0, 32, 12, -14, 0, 12, 2, 76, 0, -22, 40, -46, -30, 0, -30, 0, 12, -24, 6, -52, -36, -38, -4, 8, 0, -48, 0, 32, 8, -16, 20, 8, 16, 2, -12, -38, 4, 22, -8, 0, 60, 12, -17, -34, 46, -40, 4, 70, 0, 32, -39, -30, 0, -14, -4, -52, 20, 54, 2, 0, -4, 16, -24, 2, 36, 0, -48, 12, -14, 16, 0, 90, -38, 36, -80, -4, -40, -44, 0, -70, -4, 0, -54, 12, 16, 22, 28, 2, 4, -28, 3, 0, 0, -14, 4, -6, 12, 12, 36, -38, 50, -8, 22, 0, 0, 12, -56, -128, -8, 26, 10, 28, -56, 2, 0, -32, -4, 0, 4, 14, -8, 80, -14, 6, -18, 0, -24, 14, -8, 50, 0, 26, -4, 0, -16, 8, 0, -12, -5, -19, 32, 6, -38, 0, 10, -24, -24, 0, 12, -32, -6, 0, -16, 16, -14, -78, 0, -24, -11, 10, -20, 76, 6, -16, -22, -18, 8, 40, 1, 0, -6, 14, 58, 18, 4, -8, 48, -14, -30, -30, 0, 40, 0, 18, -16, -68, 2, -16, 3, -8, 16, 0, -12, -40, 78, 0, 22, -48, 2, 64, -40, -18, 0, 4, 6, -44, -10, -24, 0, 60, -48, -38, -28, 0, -38, 18, -24, -48, 2, 8, 32, 0, -8, -16, 0, -34, -12, 24, -12, 24, 12, 2, -8, -10, 0, 0, 14, 6, -1, 20, -4, 34, -30, 20, -24, -128, 0, 0, 0, 2, -14, -8, 12, 4, -16, 24, 68, 0, 6, 30, 0, -25, -38, 2, -40, 30, 40, -6, 0, 84, 12, -28, -12, 0, 78, -48, 4, 4, 0, 22, -4, 36, 6, 6, 12, 4, 0, 78, 2, -8, 0, -64, -18, 32, 8, -58, 62, 24, -11, 0, 20, 0, -18, 2, 48, -28, 24, 0, -30, -38, -14, -24, 0, -16, 16, -28, 18, -20, 4, 12, -12, -4, 12, 0, 12, 0, 28, 36, 16, -24, -5, 12, 30, 10, 0, 18, 14, -112, 0, -13, 10, 12, 4, -22, -8, 0, 18, -62, 2, 76, 2, 0, 0, 28, -48, 38, 0, -16, -12, 22, 16, 40, 14, 2, 0, 64, -16, 0, 12, 16, 24, -30, 16, 4, -48, -18, 52, 0, 0, -8, 56, 30, 4, -41, 3, -26, 78, -28, 6, 0, 0, -60, -56, 12, 60, 78, -24, -46, 4, -16, 0, 48, -24, 0, -8, 0, -16, -28, 6, -2, 20, 0, -40, 8, -22, -10, 0, 8, -18, 8, -14, 82, 0, 12, -16, 12, -6, -4, 10, 0, -14, 30, -6, 0, -18, 4, -16, -16, -1, -128, 8, 12, 0, 8, 0, 12, 6, -8, -14, 100, -42, 22, 96, 6, -32, 0, -14, 54, -10, 44, -50, -76, 0, -16, 8, 2, 0, 58, 0, 20, 16, 20, -56, 4, 2, 32, -27, 0, -6, 42, 8, 0, 60, -10, 10, 12, -8, 84, 0, 24, 28, -66, 2, 4, 0, -32, -44, 12, -24, 0, -22, 26, -10, -16, -34, -10, 10, 0, 2, 36, 0, 48, 32, -8, -60, -74, -14, -16, 4, -16, 0, -88, -10, -6, 48, -22, 4, 42, 2, 24, -60, 6, 0, 0, 14, -28, -10, -4, 2, 78, 36, 58, 18, 0, -80, 20, 0, -17, -6, 38, -16, -32, 12, 24, 0, -10, 50, 56, -4, 0, -24, -50, -90, -14, -14, 0, 4, 16, 4, -28, 12, 94, 0, 2, 32, -62, 0, 40, 24, 12, 6, 44, 8, -30, 18, 0, -30, 0, 2, -84, -16, 26, 44, -4, 12, -2, 54, -30, 0, 78, 6, -24, 12, 20, 18, -40, 8, -28, -4, 0, 12, 0, 0, -8, -36, 12, 16, -24, -7, 24, 0, -27, -32, 4, 0, 56, -45, 8, -13, 36, -12, 0, 64, -4, 6, 6, 16, 0, -2, -58, -68, 0, -33, -24, 14, 4, -40, 66, -16, -16, 0, 0, 8, 0, -1, 16, 36, -8, -48, 0, 18, 64, 8, 0, 0, -96, -10, 4, -18, 38, 12, 24, 18, 28, 0, 0, 0, 4, -3, 20, -38, -16, 24, 4, -40, -80, 0, 32, 12, 0, 6, 60, -24, 22, -6, -66, 4, 0, -8, 8, -10, 52, 0, 10, 44, 32, 36, -10, 0, -46, -8, 16, -24, 4, -10, 0, 4, 26, 14, 0, -16, -28, -114, -24, -46, -32, 12, -30, 0, -42, 0, 32, -10, -16, 16, -8, 68, -84, -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": "195.2.b.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], [-1], [-1], [-2], [3], [1], [1], [0], [-1], [0], [2], [-1], [-1], [-2], [-1], [-2], [1], [-2], [0], [8], [3], [1], [0], [1], [2], [2], [1], [2], [-5], [0], [2], [2], [-1], [-8], [2], [0], [-3], [2], [2], [4], [0], [-1], [-8], [-4], [-1], [-3], [-1], [-2], [0], [-6], [-1], [0], [-6], [-2], [-2], [-12], [1], [10], [-2], [-2], [7], [0], [0], [6], [2], [8], [-2], [-8], [3], [16], [8], [1], [2], [0], [0], [-8], [1], [1], [-2], [-12], [2], [2], [-4], [2], [0], [6], [1], [0], [-8], [2], [4], [2], [-5], [-16], [3], [0], [-1]]}