# Stored data for newform 2475.2.a.d, downloaded from the LMFDB on 25 April 2024. {"label": "2475.2.a.d", "space_label": "2475.2.a", "level": 2475, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915668395, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 866718538947574653, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1]], [7, [-3, 1]], [29, [6, 1]]], "qexp_display": "q-q^{2}-q^{4}+3q^{7}+3q^{8}-q^{11}-2q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9900, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 19.762974500266896, "hecke_ring_index": 1, "level_radical": 165, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [2475, 1, [551, 2377, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 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": "1.001", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.962", "prec": 17}], "related_objects": ["EllipticCurve/Q/2475/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [11, 1]], "trace_display": [-1, 0, 0, 3], "traces": [0, 1, -1, 0, -1, 0, 0, 3, 3, 0, 0, -1, 0, -2, -3, 0, -1, -3, 0, -1, 0, 0, 1, -1, 0, 0, 2, 0, -3, -6, 0, 4, -5, 0, 3, 0, 0, -1, 1, 0, 0, 5, 0, -4, 1, 0, 1, -3, 0, 2, 0, 0, 2, -10, 0, 0, 9, 0, 6, -11, 0, 14, -4, 0, 7, 0, 0, -2, 3, 0, 0, 5, 0, -2, 1, 0, 1, -3, 0, 5, 0, 0, -5, -8, 0, 0, 4, 0, -3, 10, 0, -6, 1, 0, 3, 0, 0, 17, -2, 0, 0, 11, 0, -2, -6, 0, 10, -18, 0, -12, 0, 0, -3, -18, 0, 0, 6, 0, 11, -9, 0, 1, -14, 0, -4, 0, 0, 5, 3, 0, 0, -12, 0, -3, 2, 0, -9, -6, 0, 0, 0, 0, -5, 2, 0, 0, 2, 0, 1, -7, 0, -16, -3, 0, 3, 0, 0, -10, -5, 0, 0, -3, 0, -10, -5, 0, 8, -10, 0, -9, 0, 0, 4, 9, 0, 0, 1, 0, -10, 1, 0, -25, 6, 0, -3, 0, 0, 3, 3, 0, 0, -19, 0, -4, -17, 0, -2, -23, 0, -18, 0, 0, -11, -18, 0, 0, 2, 0, 2, 1, 0, 4, 10, 0, 18, 0, 0, 12, 12, 0, 0, 6, 0, 22, -15, 0, 18, 8, 0, 11, 0, 0, -18, -9, 0, 0, 11, 0, 9, 20, 0, 4, -1, 0, -14, 0, 0, 2, 12, 0, 0, -12, 0, 1, -5, 0, -17, -12, 0, -3, 0, 0, 12, 18, 0, 0, 3, 0, 2, 24, 0, -3, 3, 0, 6, 0, 0, -22, 0, 0, 0, 21, 0, 23, -5, 0, -2, 15, 0, -8, 0, 0, 2, -13, 0, 0, -3, 0, 7, 2, 0, -12, 16, 0, 1, 0, 0, -32, 3, 0, 0, 12, 0, 1, 10, 0, -5, 6, 0, 6, 0, 0, 3, 3, 0, 0, 10, 0, 15, -9, 0, 4, 8, 0, 10, 0, 0, -6, 9, 0, 0, -4, 0, -15, -12, 0, -9, 10, 0, 8, 0, 0, 5, -6, 0, 0, -10, 0, -1, 28, 0, -18, 25, 0, 6, 0, 0, -4, 1, 0, 0, -30, 0, -6, -3, 0, -9, 12, 0, -16, 0, 0, 19, 0, 0, 0, 4, 0, -17, 6, 0, 3, 6, 0, 23, 0, 0, 6, 18, 0, 0, 38, 0, -8, -11, 0, 18, 1, 0, 6, 0, 0, 2, -33, 0, 0, 10, 0, -1, 23, 0, 9, -4, 0, -30, 0, 0, 42, 18, 0, 0, -36, 0, -2, -12, 0, 12, 1, 0, -35, 0, 0, -6, 31, 0, 0, -22, 0, 21, 8, 0, -5, 18, 0, -8, 0, 0, -28, -11, 0, 0, -34, 0, -24, 6, 0, 9, 36, 0, -6, 0, 0, -33, 4, 0, 0, 9, 0, -20, 18, 0, 2, -4, 0, -1, 0, 0, 26, 42, 0, 0, -28, 0, 18, -2, 0, -4, 15, 0, 24, 0, 0, 12, -20, 0, 0, -1, 0, -5, 26, 0, -6, 11, 0, 12, 0, 0, 3, 3, 0, 0, -42, 0, -7, 12, 0, -18, -12, 0, -22, 0, 0, 3, -10, 0, 0, -6, 0, -24, -2, 0, 32, 3, 0, 15, 0, 0, 33, 6, 0, 0, 6, 0, 15, 22, 0, 0, -22, 0, 8, 0, 0, -21, -18, 0, 0, -23, 0, 15, -37, 0, 36, -2, 0, -15, 0, 0, 43, 8, 0, 0, -24, 0, 10, -6, 0, 13, -9, 0, -4, 0, 0, 1, 14, 0, 0, 7, 0, -2, 27, 0, -22, 12, 0, 16, 0, 0, -40, 5, 0, 0, 6, 0, -16, 32, 0, -9, 28, 0, 34, 0, 0, -12, 30, 0, 0, -1, 0, 10, 3, 0, 34, 15, 0, -6, 0, 0, -4, -6, 0, 0, 16, 0, -14, 3, 0, -3, 13, 0, 11, 0, 0, 10, 4, 0, 0, -5, 0, 9, -6, 0, 35, -4, 0, -24, 0, 0, 6, 10, 0, 0, -14, 0, -4, 6, 0, 9, 14, 0, 51, 0, 0, 4, -47, 0, 0, 15, 0, 4, 20, 0, -40, -9, 0, -10, 0, 0, -15, -8, 0, 0, -23, 0, 1, -7, 0, 6, 33, 0, 35, 0, 0, 30, -4, 0, 0, -1, 0, -28, 24, 0, -6, 18, 0, 25, 0, 0, -28, -18, 0, 0, 12, 0, 6, 4, 0, 5, 2, 0, 1, 0, 0, 30, 14, 0, 0, 6, 0, -3, -54, 0, 40, 3, 0, -12, 0, 0, 42, 16, 0, 0, 22, 0, -36, 19, 0, 0, 22, 0, -28, 0, 0, 4, -44, 0, 0, 51, 0, -6, -5, 0, -5, -3, 0, -2, 0, 0, -43, 23, 0, 0, -54, 0, -28, -6, 0, 18, -22, 0, 9, 0, 0, -38, 2, 0, 0, 8, 0, 33, 15, 0, -21, 18, 0, -1, 0, 0, 4, -6, 0, 0, 18, 0, 42, -6, 0, 33, 48, 0, -2, 0, 0, -14, -6, 0, 0, -1, 0, -23, 40, 0, 7, -9, 0, -4, 0, 0, 3, 10, 0, 0, 1, 0, 40, -42, 0, -54, -39, 0, -26, 0, 0, 36, -4, 0, 0, 2, 0, -12, -5, 0, 4, -36, 0, -1, 0, 0, 52, 35, 0, 0, 0, 0, -2, -6, 0, -31, -14, 0, 15, 0, 0, -22, 3, 0, 0, 9, 0, -8, -24, 0, 30, 5, 0, -54, 0, 0, -2, -8, 0, 0, 53, 0, 8, 28, 0, -11, -36, 0, -39, 0, 0, 34, -10, 0, 0, 24, 0, 30, -32, 0, -2, 9, 0, -36, 0, 0, -18, 6, 0, 0, -5, 0, -5, 11, 0, -4, 27, 0, 4, 0, 0, -27, 21, 0, 0, -20, 0, -18, -18, 0, -15, -2, 0, -4, 0, 0, -20, 3, 0, 0, -21, 0, 0, -26, 0, -14, -46, 0, -10, 0, 0, 28, 49, 0, 0, -18, 0, -2, 4, 0, -34, -20, 0, -15, 0, 0, -50, -24, 0, 0, 6, 0, 33, 12, 0, 20, 10, 0, 44, 0, 0, -1, -12, 0, 0, 15, 0, -26, 4, 0, -46, 6, 0, 23, 0, 0, -10, 12, 0, 0, -8, 0, -26, -3, 0, 3, -42, 0, 26, 0, 0, 42, -21, 0, 0, 7, 0, -36, -44, 0, 15, -18, 0, 12, 0, 0, -48, 22, 0, 0, 18, 0, 1, -9, 0, 10, -17, 0, 14, 0, 0, 2, 6, 0, 0, -24, 0, 2, 16, 0, 3, -32, 0, 3, 0, 0, 54, -21, 0, 0, 4, 0, -25, -33, 0, -18, -30, 0, -30, 0, 0, -6, -36, 0, 0, -15, 0, 22, -34, 0, -11, 0, 0, 22, 0, 0, -54, -8, 0, 0, 11, 0, 36, -21, 0, 18, -2, 0, 10, 0, 0, -23, 2, 0, 0, -5, 0, 37, 6, 0, -30, -36, 0, 6, 0, 0, -4, -15, 0, 0, 40, 0, 66, -43, 0, 8, -20, 0, -14, 0, 0, 24, 36, 0, 0, -10, 0, 2, -30, 0, -8, 13, 0, 9, 0, 0, 18, 4, 0, 0, -6, 0, -27, 5, 0, -14, 2, 0, -30, 0, 0, -21, -22, 0, 0, -2, 0, -27, 12, 0, 14, 22, 0, 12, 0, 0, -15, -48, 0, 0, 27, 0, 46, 40, 0, -7, -31, 0, 10, 0, 0, -6, -4, 0, 0, 16, 0, 32, -7, 0, 8, 3, 0, -28, 0, 0, 37, -34, 0, 0, 6, 0, 18, -12, 0, -30, 24, 0, 28, 0, 0, -1, 3, 0, 0, -30, 0, -3, 45, 0, -34, -34, 0, -5, 0, 0, -75, -6, 0, 0, 20, 0, 2, 4, 0, -6, -70, 0, 20, 0, 0, -16, 8, 0, 0, 14, 0, -9, -9, 0, -8, -3, 0, -13, 0, 0, -66, -11, 0, 0, 50, 0, 36, -30, 0, -4, 37, 0, 9, 0, 0, -25, -22, 0, 0, 9, 0, 6, 30, 0, 51, -35, 0, -4, 0, 0, 47, 8, 0, 0, -1, 0, -16, -6, 0, -30, -57, 0, 4, 0, 0, 14, -15, 0, 0, 4, 0, 6, -5, 0, -12, -27, 0, -14, 0, 0, 11, -51, 0, 0, 49, 0, 18, 4, 0, 47, 3, 0, -36, 0, 0, 15, -6, 0, 0, 20, 0, -20, -69, 0, 0, 40, 0, 27, 0, 0, 2, -10, 0, 0, 36, 0, -54, 15, 0, -8, -5, 0, -32, 0, 0, 23, -14, 0, 0, -1, 0, -3, -28, 0, 24, 6, 0, -33, 0, 0, 24, -35, 0, 0, -12, 0, 20, -10, 0, 4, 16, 0, -64, 0, 0, 3, 56, 0, 0, -28, 0, -24, 33, 0, 12, 6, 0, 18, 0, 0, -17, -75, 0, 0, 66, 0, -29, 28, 0, 6, -12, 0, 41, 0, 0, -12, 3, 0, 0, -6, 0, 4, 36, 0, -73, -7, 0, -2, 0, 0, 12, -1, 0, 0, 3, 0, -26, 30, 0, -14, -42, 0, 19, 0, 0, 6, 15, 0, 0, 9, 0, 54, -61, 0, -5, -40, 0, 15, 0, 0, 6, -12, 0, 0, -27, 0, -30, -42, 0, 16, -5, 0, 8, 0, 0, -22, 53, 0, 0, 36, 0, -57, 0, 0, 7, 0, 0, -22, 0, 0, 60, 28, 0, 0, 2, 0, 22, -12, 0, 44, 18, 0, 39, 0, 0, -17, -21, 0, 0, -6, 0, 5, 18, 0, 66, 5, 0, -3, 0, 0, 22, -10, 0, 0, -75, 0, -2, 43, 0, -69, 8, 0, -4, 0, 0, 54, 36, 0, 0, 28, 0, -6, 24, 0, 4, -54, 0, 22, 0, 0, 10, -9, 0, 0, 37, 0, 33, -38, 0, -2, -24, 0, -38, 0, 0, 8, -30, 0, 0, -11, 0, -15, 6, 0, -23, 21, 0, -54, 0, 0, -12, -1, 0, 0, -27, 0, -5, -4, 0, -6, 2, 0, 7, 0, 0, -18, -40, 0, 0, -42, 0, 2, -51, 0, -10, 33, 0, -48, 0, 0, -32, 2, 0, 0, 16, 0, -65, -6, 0, 6, 30, 0, 46, 0, 0, 3, 60, 0, 0, -23, 0, -40, 2, 0, -16, -7, 0, -9, 0, 0, 12, 12, 0, 0, -10, 0, 32, -3, 0, 50, 20, 0, 28, 0, 0, -1, 24, 0, 0, -40, 0, -42, -24, 0, 66, 18, 0, 39, 0, 0, -33, 26, 0, 0, -56, 0, -79, 36, 0, 4, 10, 0, 6, 0, 0, 2, 33, 0, 0, 36, 0, 5, 3, 0, -25, -4, 0, 12, 0, 0, 74, -1, 0, 0, 6, 0, 70, -52, 0, 35, -36, 0, -23, 0, 0, 0, -20, 0, 0, 2, 0, 18, -84, 0, 3, -31, 0, 14, 0, 0, 58, -15, 0, 0, 12, 0, 20, 66, 0, -3, 13, 0, 28, 0, 0, -51, 10, 0, 0, -8, 0, 24, -36, 0, 0, -30, 0, 5, 0, 0, 0, 18, 0, 0, 26, 0, -2, 2, 0, 24, -5, 0, 54, 0, 0, -53, -24, 0, 0, -8, 0, 28, -44, 0, -2, 33, 0, 36, 0, 0, 10, 39, 0, 0, 54, 0, -17, 34, 0, 10, 68, 0, -27, 0, 0, 24, 36, 0, 0, -42, 0, 32, 9, 0, -2, 2, 0, -27, 0, 0, -20, -36, 0, 0, -15, 0, 21, 18, 0, 6, -59, 0, 38, 0, 0, 5, 72, 0, 0, 5, 0, 55, 69, 0, 56, -4, 0, -27, 0, 0, -9, -4, 0, 0, 12, 0, -9, 9, 0, -21, 73, 0, 8, 0, 0, 60, 63, 0, 0, -18, 0, 18, -11, 0, 54, 15, 0, -2, 0, 0, -15, 12, 0, 0, -72, 0, -34, 20, 0, -1, 14, 0, -66, 0, 0, 21, 12, 0, 0, 0, 0, -26, -62, 0, 30, -70, 0, 46, 0, 0, 2, 10, 0, 0, 10, 0, 32, 28, 0, -49, 63, 0, -1, 0, 0, -18, -82, 0, 0, 6, 0, -4, 50, 0, 69, 34, 0, 28, 0, 0, 31, -15, 0, 0, 25, 0, -22, 50, 0, -24, 27, 0, 11, 0, 0, -6, 68, 0, 0, -33, 0, -36, 10, 0, 42, 20, 0, -10, 0, 0, -78, -44, 0, 0, 12, 0, -24, 3, 0, 12, 7, 0, 1, 0, 0, -5, 18, 0, 0, -26, 0, -4, 37, 0, 20, 46, 0, 6, 0, 0, -10, -45, 0, 0, -39, 0, -20, 10, 0, -36, -3, 0, -30, 0, 0, 8, 46, 0, 0, 26, 0, -3, 54, 0, 12, -9, 0, 42, 0, 0, -8, -26, 0, 0, 29, 0, -86, 42, 0, 21, 78, 0, 60, 0, 0, 7, 6, 0, 0, 12, 0, 44, -39, 0, 19, -15, 0, 54, 0, 0, -8, 12, 0, 0, 16, 0, -47, 48, 0, 22, 12, 0, 20, 0, 0, -18, 4, 0, 0, -1, 0, 3, -58, 0, -83, 10, 0, 17, 0, 0, 22, -14, 0, 0, -27, 0, -12, 10, 0, -6, 18, 0, -96, 0, 0, 72, 6, 0, 0, 2, 0, -16, -15, 0, -59, -3, 0, -32, 0, 0, 23, -9, 0, 0, 20, 0, -50, -54, 0, -9, 36, 0, -4, 0, 0, -4, 11, 0, 0, 25, 0, -33, 18, 0, 3, 6, 0, 30, 0, 0, 44, 30, 0, 0, 20, 0, 62, -6, 0, 36, 34, 0, -38, 0, 0, -15, -75, 0, 0, -66, 0, 34, 18, 0, -20, 11, 0, 0, 0, 0, 36, 22, 0, 0, -17, 0, 18, 54, 0, -8, 44, 0, -55, 0, 0, -11, -60, 0, 0, -36, 0, 63, -18, 0, -41, 18, 0, 2, 0, 0, -14, -10, 0, 0, 9, 0, -8, 69, 0, -2, 65, 0, -66, 0, 0, -25, 50, 0, 0, 37, 0, -6, 40, 0, -75, 30, 0, -36, 0, 0, -53, -2, 0, 0, -30, 0, 13, 4, 0, 45, 68, 0, -1, 0, 0, -40, -6, 0, 0, -66, 0, -43, 38, 0, -48, -24, 0, 20, 0, 0, 12, 14, 0, 0, -4, 0, -11, 24, 0, -36, -2, 0, 18, 0, 0, -10, -66, 0, 0, 10, 0, 30, 34, 0, 27, 8, 0, -39, 0, 0, 12, 9, 0, 0, 6, 0, 50, -18, 0, 4, 26, 0, -18, 0, 0, 6, 0, 0, 0, 27, 0, -7, 2, 0, 13, -14, 0, -2, 0, 0, 11, 30, 0, 0, -48, 0, -25, 7, 0, 22, -12, 0, -16, 0, 0, 6, 33, 0, 0, -27, 0, -12, -81, 0, -59, -14, 0, 22, 0, 0, 48, -36, 0, 0, -38, 0, -5, 15, 0, 16, 17, 0, -55, 0, 0, -27, 68, 0, 0, -46, 0, 40, 30, 0, -6, -3, 0, 31, 0, 0, 34, -10, 0, 0, 45, 0, 24, -6, 0, 4, -49, 0, 20, 0, 0, 16, -22, 0, 0, -96, 0, 7, 44, 0, 18, -8, 0, 15, 0, 0, 20, -28, 0, 0, -18, 0, 79, -37, 0, -34, 3, 0, 2, 0, 0, -6, 38, 0, 0, -18, 0, 36, 12, 0, 30, -30, 0, -24, 0, 0, -8, -28, 0, 0, 70, 0, -12, 3, 0, -3, 12, 0, 8, 0, 0, 10, 84, 0, 0, -3, 0, -45, -11, 0, -36, 34, 0, -34, 0, 0, -54, -25, 0, 0, -76, 0, 21, 75, 0, 18, 44, 0, 26, 0, 0, -20, 74, 0, 0, -2, 0, 4, -5, 0, 21, 18, 0, 70, 0, 0, -45, -20, 0, 0, 46, 0, 9, -16, 0, -8, 48, 0, -12, 0, 0, 14, -32, 0, 0, 3, 0, 9, 12, 0, -60, 8, 0, 9, 0, 0, 36, -13, 0, 0, -74, 0, -32, 66, 0, -11, -20, 0, 18, 0, 0, -50, 6, 0, 0, -36, 0, 10, -78, 0, -18, -4, 0, -37, 0, 0, 34, -9, 0, 0, -56, 0, -56, 35, 0, 22, -5, 0, -20, 0, 0, -27, 66, 0, 0, 6, 0, -30, 36, 0, 0, -51, 0, -35, 0, 0, -49, 12, 0, 0, -4, 0, -48, -47, 0, 40, -18, 0, -28, 0, 0, 1, 65, 0, 0, 16, 0, -6, 30, 0, -32, 10, 0, 57, 0, 0, -69, -4, 0, 0, 0, 0, 47, 14, 0, 15, -92, 0, 15, 0, 0, 4, -84, 0, 0, -18, 0, 5, 9, 0, 2, 12, 0, 9, 0, 0, 0, -14, 0, 0, -24, 0, 34, -11, 0, -51, -2, 0, 33, 0, 0, -49, 18, 0, 0, -18, 0, -12, -74, 0, 18, 47, 0, -3, 0, 0, 9, 36, 0, 0, -9, 0, -8, -45, 0, 6, -10, 0, -50, 0, 0, -28, 42, 0, 0, -20, 0, 69, 40, 0, 12, 0, 0, 40, 0, 0, -28, -9, 0, 0, 30, 0, 33, -2, 0, 30, -42, 0, 18, 0, 0, -36, -1, 0, 0, 54, 0, 15, -3, 0, -25, 24, 0, 5, 0, 0, 2, 32, 0, 0, 66, 0, 80, 23, 0, 14, 114, 0, 47, 0, 0, -1, -102, 0, 0, 17, 0, 28, 83, 0, -24, -24, 0, -18, 0, 0, 12, -33, 0, 0, 7, 0, 88, -24, 0, -35, 51, 0, 30, 0, 0, 12, 97, 0, 0, -20, 0, -50, 3, 0, -95, 4, 0, -16, 0, 0, 22, 64, 0, 0, -44, 0, 18, -1, 0, -56, -42, 0, 16, 0, 0, 84, 27, 0, 0, -24, 0, -33, -90, 0, 8, -12, 0, 6, 0, 0, -62, -54, 0, 0, -22, 0, -18, 17, 0, 25, 30, 0, -44, 0, 0, -66, -22, 0, 0, 29, 0, 28, -28, 0, 25, 30, 0, 12, 0, 0, -2, -41, 0, 0, -5, 0, -5, -12, 0, -3, 29, 0, -66, 0, 0, -6, 69, 0, 0, -12, 0, -36, -6, 0, -27, 73, 0, -3, 0, 0, 27, -2, 0, 0, -16, 0, -35, -12, 0, -1, -94, 0, -24, 0, 0, -3, 9, 0, 0, 26, 0, -90, 69, 0, 6, -14, 0, 42, 0, 0, -22, -19, 0, 0, 3, 0, 10, -18, 0, -15, 12, 0, 28, 0, 0, -3, -10, 0, 0, 54, 0, 61, 30, 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": "2475.2.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], [0], [-1], [0], [0], [3], [3], [0], [0], [-1], [0], [-2], [-3], [0], [-1], [-3], [0], [-1], [0], [0], [1], [-1], [0], [0], [2], [0], [-3], [-6], [0], [4], [-5], [0], [3], [0], [0], [-1], [1], [0], [0], [5], [0], [-4], [1], [0], [1], [-3], [0], [2], [0], [0], [2], [-10], [0], [0], [9], [0], [6], [-11], [0], [14], [-4], [0], [7], [0], [0], [-2], [3], [0], [0], [5], [0], [-2], [1], [0], [1], [-3], [0], [5], [0], [0], [-5], [-8], [0], [0], [4], [0], [-3], [10], [0], [-6], [1], [0], [3], [0], [0], [17], [-2], [0], [0]]}