# Stored data for newform 4598.2.a.a, downloaded from the LMFDB on 23 April 2024.
{"label": "4598.2.a.a", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33559030, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1921672561810263454, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [1, 1]], [5, [4, 1]], [7, [3, 1]], [13, [-1, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18392, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 36.71521484938472, "hecke_ring_index": 1, "level_radical": 418, "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": [4598, 1, [3269, 3631], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11, 19], "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": "1.919", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.703", "prec": 17}], "related_objects": ["EllipticCurve/Q/4598/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [11, -1], [19, -1]], "trace_display": [-1, -1, -4, -3], "traces": [0, 1, -1, -1, 1, -4, 1, -3, -1, -2, 4, 0, -1, 1, 3, 4, 1, -3, 2, 1, -4, 3, 0, -1, 1, 11, -1, 5, -3, 5, -4, -8, -1, 0, 3, 12, -2, -2, -1, -1, 4, 8, -3, -4, 0, 8, 1, 8, -1, 2, -11, 3, 1, -1, -5, 0, 3, -1, -5, 15, 4, -2, 8, 6, 1, -4, 0, 3, -3, 1, -12, 2, 2, -9, 2, -11, 1, 0, 1, 10, -4, 1, -8, 6, 3, 12, 4, -5, 0, 0, -8, -3, -1, 8, -8, -4, 1, -2, -2, 0, 11, -2, -3, -6, -1, -12, 1, 7, 5, 15, 0, 2, -3, 14, 1, 4, 5, -2, -15, 9, -4, 0, 2, -8, -8, -24, -6, -18, -1, 4, 4, -12, 0, -3, -3, -20, 3, -17, -1, 0, 12, -8, -2, 0, -2, -20, 9, -2, -2, 0, 11, -2, -1, 6, 0, 32, -1, -2, -10, 1, 4, 3, -1, -16, 8, 0, -6, 12, -3, -12, -12, -2, -4, 6, 5, -33, 0, -15, 0, 0, 8, 22, 3, 2, 1, 8, -8, 0, 8, -15, 4, 7, -1, 6, 2, 4, 2, -8, 0, -25, -11, -3, 2, -15, 3, -32, 6, 2, 1, 0, 12, -27, -1, -2, -7, 16, -5, 24, -15, 9, 0, -3, -2, 14, 3, -22, -14, 17, -1, -10, -4, 0, -5, 6, 2, -32, 15, -10, -9, -15, 4, 8, 0, -16, -2, -8, 8, 1, 8, -6, 24, 2, 6, 0, 18, -12, 1, 8, -4, 6, -4, -10, 12, -24, 0, 4, 3, 0, 3, 30, 20, -7, -3, 3, 17, 0, 1, -28, 0, 16, -12, 8, 8, 6, 2, 4, 0, -24, 2, -8, 20, 2, -9, -9, 2, -60, 2, 0, 0, -1, -11, 12, 2, 2, 1, 8, -6, 12, 0, 6, -32, 7, 1, 29, 2, -24, 10, -27, -1, 0, -4, -7, -3, -3, 1, 11, 16, -15, -8, -24, 0, 17, 6, 4, -12, -12, 3, 32, 12, -14, 12, 0, 2, 15, 4, -4, -6, 2, -5, -10, 33, 5, 0, 9, 15, -8, 0, -9, 0, 15, -8, 1, -22, 0, -3, 36, -2, 28, -1, -16, -8, 3, 8, -29, 0, 24, -8, 5, 15, 15, -4, 18, -7, -26, 1, 0, -6, 8, -2, -30, -4, 3, -2, 12, 8, -40, 0, 8, 25, 3, 11, -8, 3, -8, -2, -4, 15, 0, -3, 20, 32, 17, -6, -45, -2, -24, -1, 0, 0, 0, -12, -13, 27, -16, 1, -33, 2, 6, 7, 0, -16, 18, 5, 14, -24, 20, 15, -1, -9, -20, 0, -4, 3, -26, 2, 0, -14, 0, -3, 10, 22, 0, 14, 2, -17, 12, 1, 7, 10, -15, 4, 28, 0, 4, 5, -32, -6, -2, -2, -9, 32, 2, -15, 0, 10, 11, 9, 2, 15, 20, -4, -2, -8, -3, 0, 8, 16, -2, 2, 16, 8, 28, -8, -15, -1, 0, -8, -6, 6, 40, -24, -12, -2, -39, -6, 8, 0, 12, -18, -30, 12, 27, -1, 5, -8, 24, 4, 0, -6, -6, 4, -28, 10, -29, -12, 33, 24, 24, 0, -22, -4, -30, -3, 8, 0, -28, -3, 0, -30, 0, -20, -2, 7, -22, 3, -60, -3, -28, -17, 4, 0, 5, -1, -30, 28, -8, 0, -28, -16, -4, 12, 0, -8, 36, -8, -56, -6, -3, -2, -40, -4, 28, 0, -7, 24, -11, -2, -37, 8, -6, -20, -18, -2, 0, 9, 8, 9, -12, -2, -8, 60, 8, -2, -34, 0, -36, 0, 25, 1, 0, 11, 8, -12, -6, -2, 0, -2, 22, -1, 15, -8, 8, 6, -34, -12, 32, 0, 18, -6, 10, 32, -5, -7, 0, -1, 41, -29, 0, -2, 6, 24, 32, -10, 27, 27, 72, 1, 2, 0, -4, 4, 42, 7, -26, 3, -16, 3, 23, -1, 0, -11, -24, -16, -36, 15, 48, 8, 18, 24, -5, 0, -23, -17, 3, -6, 12, -4, -5, 12, -14, 12, 0, -3, -44, -32, 55, -12, -13, 14, 6, -12, -17, 0, 4, -2, 68, -15, 10, -4, -1, 4, 42, 6, 0, -2, 0, 5, -24, 10, -6, -33, 28, -5, -2, 0, 32, -9, 6, -15, -30, 8, -20, 0, 8, 9, 0, 0, 15, -15, -5, 8, 18, -1, -8, 22, 55, 0, -17, 3, 13, -36, 12, 2, 36, -28, 8, 1, 0, 16, 40, 8, -1, -3, 16, -8, 0, 29, -12, 0, -21, -24, 32, 8, -2, -5, 8, -15, -2, -15, 0, 4, -27, -18, -45, 7, -24, 26, 15, -1, 35, 0, -8, 6, 9, -8, -88, 2, -6, 30, 8, 4, 0, -3, 25, 2, 8, -12, 17, -8, 24, 40, -42, 0, -2, -8, -4, -25, 3, -3, -24, -11, 0, 8, 0, -3, -12, 8, -30, 2, 15, 4, 3, -15, 7, 0, 64, 3, -4, -20, 6, -32, -12, -17, 29, 6, 0, 45, -23, 2, -15, 24, 28, 1, -6, 0, -48, 0, -40, 0, 20, 12, -4, 13, -8, -27, 48, 16, 0, -1, -6, 33, 2, -2, 6, -6, 8, -7, 12, 0, -50, 16, 24, -18, 54, -5, -24, -14, 8, 24, 0, -20, 3, -15, 4, 1, 72, 9, -13, 20, 9, 0, -18, 4, 34, -3, 60, 26, 2, -2, 54, 0, 0, 14, 8, 0, 0, 3, 1, -10, -40, -22, 3, 0, -12, -14, -88, -2, 53, 17, 4, -12, 12, -1, 0, -7, -8, -10, 36, 15, -5, -4, -12, -28, 2, 0, -22, -4, 12, -5, -55, 32, 2, 6, -7, 2, 0, 2, 7, 9, -29, -32, -7, -2, -8, 15, 60, 0, -12, -10, -9, -11, 27, -9, 46, -2, -28, -15, 0, -20, 51, 4, 33, 2, -14, 8, -24, 3, -48, 0, 3, -8, -28, -16, 0, 2, -11, -2, 8, -16, 0, -8, -30, -28, -6, 8, 32, 15, 24, 1, 4, 0, -8, 8, -17, 6, 100, -6, -28, -40, -10, 24, 0, 12, -45, 2, 12, 39, -1, 6, -40, -8, -32, 0, -36, -12, 60, 18, -28, 30, 15, -12, 47, -27, 0, 1, 88, -5, 10, 8, -15, -24, 48, -4, 1, 0, -8, 6, 6, 6, 0, -4, -2, 28, 0, -10, 0, 29, 10, 12, 30, -33, 28, -24, 1, -24, 108, 0, 6, 22, -9, 4, -18, 30, -4, 3, 8, -8, 0, 0, 40, 28, -18, 3, -10, 0, -44, 30, -15, 0, 6, 20, -8, 2, -1, -7, -96, 22, -47, -3, 0, 60, 23, 3, -26, 28, -36, 17, -28, -4, 6, 0, -28, -5, 39, 1, 12, 30, 40, -28, -30, 8, 0, 0, -3, 28, -56, 16, 7, 4, 29, -12, 15, 0, -56, 8, 48, -36, -2, 8, 10, 56, -5, 6, 0, 3, -68, 2, -15, 40, -9, 4, 48, -28, 36, 0, 40, 7, 16, -24, 26, 11, 33, 2, 34, 37, 0, -8, 0, 6, -2, 20, -20, 18, -44, 2, -24, 0, 30, -9, -36, -8, -8, -9, -3, 12, 88, 2, 0, 8, 24, -60, 57, -8, 36, 2, 40, 34, 32, 0, 40, 36, -8, 0, 24, -25, 60, -1, 6, 0, 0, -11, -17, -8, 8, 12, -32, 6, -6, 2, 8, 0, -18, 2, -36, -22, 64, 1, 37, -15, 1, 8, 0, -8, -9, -6, 22, 34, -20, 12, 30, -32, 68, 0, 34, -18, -4, 6, -17, -10, 45, -32, 27, 5, 0, 7, 24, 0, -20, 1, -20, -41, 0, 29, 0, 0, -8, 2, 0, -6, 50, -24, -2, -32, 13, 10, 0, -27, -66, -27, 40, -72, -64, -1, 3, -2, 33, 0, 8, 4, 35, -4, -6, -42, -39, -7, -32, 26, 0, -3, -45, 16, -13, -3, -18, -23, -24, 1, -53, 0, -14, 11, -28, 24, -36, 16, 40, 36, -27, -15, 0, -48, 1, -8, -2, -18, 96, -24, 20, 5, 0, 0, -18, 23, 10, 17, -11, -3, -3, 6, 26, -12, 0, 4, 32, 5, 0, -12, -21, 14, -6, -12, 0, 0, -30, 3, -120, 44, -10, 32, 2, -55, -18, 12, 0, 13, 28, -14, -15, -6, 4, 12, -42, 17, 40, 0, -12, -4, 58, 2, -33, -68, -7, 15, -6, -10, 0, 4, -3, 1, 24, -4, -42, -42, -28, -6, 112, 0, -9, 2, -4, 0, 7, -5, 75, 24, -64, -10, 0, 6, -50, 33, 2, -28, 2, 5, -32, 2, 9, 0, 50, -32, -18, 9, 4, -6, -24, 15, 15, 30, 0, -8, 10, 20, -1, 0, -11, -8, -53, -9, -30, 0, -5, 0, -46, -15, 96, 15, -20, 5, -30, -8, 0, -18, 2, 1, 32, 8, -38, -22, -6, -55, 18, 0, -6, 17, -8, -3, -64, -13, -35, 36, 2, -12, 0, -2, 36, -36, 32, 28, 14, -8, 48, -1, -28, 0, 165, -16, 81, -40, 15, -8, 38, 1, 14, 3, 0, -16, 27, 8, 30, 0, 6, -29, 16, 12, 4, 0, -40, 21, 50, 24, 10, -32, -24, -8, -48, 2, 0, 5, 39, -8, 12, 15, 0, 2, -8, 15, -16, 0, -16, -4, 24, 27, 4, 18, -22, 45, 30, -7, 0, 24, -22, -26, -27, -15, -48, 1, -5, -35, 1, 0, -3, 8, -11, -6, -24, -9, 9, 8, -25, 88, 0, -2, 36, 6, -28, -30, -12, -8, -60, -4, -42, 0, 28, 3, -116, -25, -32, -2, 29, -8, -28, 12, 0, -17, 66, 8, 6, -24, -20, -40, -24, 42, 21, 0, 108, 2, 22, 8, -51, 4, 8, 25, 75, -3, 0, 3, 2, 24, -8, 11, 13, 0, 30, -8, 28, 0, -37, 3, 50, 12, 0, -8, -44, 30, 12, -2, 0, -15, -10, -4, -18, -3, 2, 15, -24, -7, 52, 0, -44, -64, -18, -3, -2, 4, 60, 20, 18, -6, 0, 32, 28, 12, 8, 17, 96, -29, -10, -6, 6, 0, -18, -45, -5, 23, -68, -2, 2, 15, 30, -24, 0, -28, -64, -1, -16, 6, 12, 0, 0, 48, 28, 0, 45, 40, 33, 0, 4, -20, 9, -12, 23, 4, 0, -13, -128, 8, -24, 27, -36, -48, 0, -16, 21, 0, 56, 1, 18, 6, -65, -33, 48, -2, -12, 2, 0, -6, 40, 6, -15, -8, 75, 7, -28, -12, -60, 0, 6, 50, -14, -16, 27, -24, -29, 18, 11, -54, 0, 5, -3, 24, 37, 14, 6, -8, -8, -24, -12, 0, -16, 20, -33, -3, 18, 15, 40, -4, -47, -1, 0, -72, 18, -9, 9, 13, -20, -20, -6, -9, -65, 0, 12, 18, -32, -4, -36, -34, 8, 3, -10, -60, 0, -26, 16, -2, 22, 2, 82, -54, 34, 0, -17, 0, 9, -14, 36, -8, -42, 0, -55, 0, 50, -3, 0, -1, -60, 10, 0, 40, -24, 22, 8, -3, -8, 0, -4, 12, 0, 14, 15, 88, -12, 2, -4, -53, 0, -17, -10, -4, -21, 12, -22, -12, -54, 1, -99, 0, 30, 7, -120, 8, 67, 10, -8, -36, -112, -15, 0, 5, 34, 4, 72, 12, -2, 28, 64, -2, -63, 0, -27, 22, -18, 4, -45, -12, -12, 5, -10, 55, 0, -32, -27, -2, -1, -6, 116, 7, 32, -2, 0, 0, -48, -2, 9, -7, -41, -9, 42, 29, 25, 32, 0, 7, -90, 2, -20, 8, -6, -15, -50, -60, 16, 0, -32, 12, -60, 10, 21, 9, 54, 11, -18, -27, 0, 9, -72, -46, -12, 2, -6, 28, -2, 15, -54, 0, 104, 20, 10, -51, -2, -4, -42, -33, -42, -2, 0, 14, 64, -8, 26, 24, 28, -3, -14, 48, -32, 0, 0, -3, 84, 8, -23, 28, 15, 16, 120, 0, 0, -2, -80, 11, 2, 2, -48, -8, -12, 16, -6, 0, 36, 8, 2, 30, -2, 28, -48, 6, -24, -8, 0, -32, -45, -15, -46, -24, 110, -1, 5, -4, 35, 0, -18, 8, 23, -8, -32, 17, 42, -6, 6, -100, 0, 6, 26, 28, -12, 40, -53, 10, 5, -24, 5, 0, 59, -12, 32, 45, -28, -2, 16, -12, 12, -39, 0, 1, 32, -6, -82, 40, 44, 8, -32, 32, 24, 0, 11, 36, -57, 12, 5, -60, 13, -18, 7, 28, 0, -30, -6, -15, 0, 12, -2, -47, -34, 27, -80, 0, 0, -1, -4, -88, 27, 5, 16, -10, -68, -8, 0, 15, 10, 24, 20, -48, -64, 4, 180, -1, 1, 0, -30, 8, 15, -6, -42, -6, 66, -6, -24, 0, 0, 4, -82, 2, -36, -28, 0, 0, 72, 10, 0, 0, 24, -29, 3, -10, 0, -12, -12, -30, 30, 33, 0, -28, -28, 24, 52, -1, -8, 24, 2, -108, 38, 0, -61, -6, 64, -22, -45, 9, -16, -4, -6, 18, 0, -30, 72, 4, 30, -3, 50, -8, -37, 8, 50, 0, -24, 0, -57, -40, -8, -28, -27, 18, 14, -3, 0, 10, 14, 0, -36, 44, 30, -30, -39, 15, -72, 0, 5, -6, 54, -20, -78, 8, -18, -2, -56, 1, 0, 7, -16, 96, 12, -22, -8, 47, -55, 3, -21, 0, -65, -60, 17, -23, -30, -3, 4, 26, 35, -28, 0, 36, -87, -17, -12, 28, 80, 4, -25, -6, -36, 0, -16, 28, 49, 5, 16, -39, 32, -1, 17, -12, 0, -30, -44, -40, 104, 28, -40, 30, 81, -8, -52, 0, -2, 0, 0, 3, 36, -28, -16, 56, 2, -16, 0, -7, 0, -4, -27, -29, -35, 12, 30, -15, -34, 0, -40, 56, 21, -8, 6, -48, -42, 36, -32, 2, 0, -8, 4, -10, -4, -56, 9, 5, 72, -6, -8, 0, 68, -3, 45, 68, 2, -2, 36, 15, -33, -40, 0, 9, 4, -4, -73, -48, 27, 28, -28, -36, -73, 0, 45, -40, 50, -7, -11, -16, 60, 24, -57, -26, 0, -11, -15, -33, 16, -2, -112, -34, -35, -37, -75, 0, -58, 8, -16, 0, -16, -6, -51, 2, -9, -20, 0, 20, 2, -18, 88, 44, 0, -2, 51, 24, -12, 0, -1, -30, 8, 9, -8, 36, 20, 8, -18, 8, 0, 9, 36, 3, -27, -12, 5, -88, -2, -2, 22, 0, -8, -8, 48, -24, -96, 60, -17, -57, 0, 8, 0, -36, 48, -2, 6, -40, 8, -34, 42, -32, -24, 0, 38, -40, 2, -36, 32, 8, 36, 0, -8, -24, 0, 25, 10, -60, -3, 1, 56, -6, -80, 0, 24, 0, 35, 11, -59, 17, 0, 8, 8, -8, 30, -12, 0, 32, -12, -6, -18, 6, 12, -2, 17, -8, 120, 0, -60, 18, -66, -2, -22, 36, -15, 22, -6, -64, 0, -1, -3, -37, 8, 15, -88, -1, 14, -8, 58, 0, 30, 8, -64, 9, 78, 6, -80, -22, 4, -34, 0, 20, -112, -12, -15, -30, -95, 32, -7, -68, 12, 0, 60, -34, 38, 18, -29, 4, -27, -6, 44, 17, 0, 10, -18, -45, -6, 32, 23, -27, 7, -5, 24, 0, 15, -7, -12, -24, -8, 0, 56, 20, -160, -1, 0, 20, 6, 41, -16, 0, 6, -29, 48, 0, -15, 0, 6, 8, -8, -2, -45, 0, 156, 6, -20, -50, 0, 24, 38, 2, 4, 32, -22, -13, -3, -10, -16, 0, 42, 27, 0, 66, -48, 27, -60, -40, 45, 72, 0, 64, -59, 1, 120, -3, -12, 2, 5, -33, 28, 0, -2, -8, -108, -4, 8, -35, -6, 4, -8, 6, 0, 42, -20, 39, 6, 7, -84, 32, -12, -26, -48, 0, -66, 3, 50, 45, 5, -16, 0, 13, 48, 3, 0, 18, -25, 23, -54, 24, -32, -1, -14, 53, 24, 0, -2, 14, -14, -11, 16, 28, -17, -24, 112, 36, 0, -16, 75, -40, 87, -36, -3, 27, 116, 15, 12, 0, -10, 48, -18, -1, 8, 8, -72, 2, -4, 18, 0, -96, 13, 24, 74, -20, -96, -5, 18, 0, -15, 0, 0, 18, 18, -23, 88, -10, -13, -17, -34, 11, 0, 3, -45, 3, 120, -6, -78, -26, 45, 12, -2, 0, 74, -4, -32, -32, -54, -5, 6, 0, -83, 12, 0, 21, 77, -14, -32, 6, -8, 12, 78, 0, 26, 0, 0, 30, -32, -3, 50, 120, 2, -44, 29, 10, 0, -32, 40, -2, 30, 55, 18, 18, -3, -12, 8, 0, 58, -13, -24, -28, 12, 14, -74, 15, 88, 6, 0, -4, 50, -12, -53, 42, 90, -17, 165, -40, -10, 0, 20, 12, -68, 4, -12, -58, 112, -2, -9, 33, 0, 68, -72, 7, -27, -15, -16, 6, 24, 10, -50, 0, -36, -4, -86, 3, -20, -1, 5, -24, 0, 4, 0, 42, -24, 42, 120, 28, -18, 6, -2, -112, 48, 0, 120, 9, 22, -2, -32, 4, -24, 0, -30, -7, 0, 5, 112, -75, 55, -24, -90, 64, 73, 10, -2, 0, 16, -6, -2, 50, -14, -33, 28, -2, -71, 28, 0, -2, 24, -5, -52, 32, -7, -2, -10, -9, -144, 0, -58, -50, 20, 32, 24, 18, 7, -9, 154, -4, 0, 6, 8, 24, 0, -15, -4, -15, 12, -30, -18, 0, -36, 8, 12, -10, 19, -20, 160, 1, 9, 0, 0, 11, -2, 8, 54, 53, -112, 9, -13, 30, -46, 0, -48, 5, -60, 0, 28, 46, -16, 15, -2, -96, 0, -15, 36, 20, 24, -5, -51, 30, -90, 8, -12, 0, -33, 18, 148, -2, 8, -1, 35, -32, 30, -8, 0, 38, 24, 22, 3, 6, 14, 55, 48, -18, 56, 0, 72, 6, 6, -17, -90, 8, 16, 3, 28, 64, 0, 13, 7, 35, 0, -36, 18, -2, -20, 12, -22, 0, -67, 2, -10, -36, -8, 36, 0, -32, 48, -28, 0, -14, 35, 8, -18, -48, 75, 1, 32, 28, 39, 0, 6, -165, 17, 16, -86, -81, -32, 40, 93, -15, 0, 8, 48, -38, -61, -1, 136, -14, -4, -3, 5, 0, -88, 16, 8, -27, 99, -8, -10, -30, -34, 0, 0, -6, -2, 29, -100, -16, -30, -12, -4, -4, 28, 0, -72, 40, 0, -21, -2, -50, 25, -24], "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": "38.2.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], [-4], [1], [-3], [-1], [-2], [4], [0], [-1], [1], [3], [4], [1], [-3], [2], [1], [-4], [3], [0], [-1], [1], [11], [-1], [5], [-3], [5], [-4], [-8], [-1], [0], [3], [12], [-2], [-2], [-1], [-1], [4], [8], [-3], [-4], [0], [8], [1], [8], [-1], [2], [-11], [3], [1], [-1], [-5], [0], [3], [-1], [-5], [15], [4], [-2], [8], [6], [1], [-4], [0], [3], [-3], [1], [-12], [2], [2], [-9], [2], [-11], [1], [0], [1], [10], [-4], [1], [-8], [6], [3], [12], [4], [-5], [0], [0], [-8], [-3], [-1], [8], [-8], [-4], [1], [-2], [-2], [0], [11]]}