# Stored data for newform 4598.2.a.s, downloaded from the LMFDB on 25 April 2024.
{"label": "4598.2.a.s", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 19, "hecke_orbit_code": 81064793326227958, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 152238333775772577, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 1]], [5, [0, 1]], [7, [0, 1]], [13, [-7, 1]]], "qexp_display": "q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\\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": "0.011", "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": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "1.898", "prec": 17}, {"__RealLiteral__": 0, "data": "0.196", "prec": 17}, {"__RealLiteral__": 0, "data": "4.653", "prec": 17}], "related_objects": ["EllipticCurve/Q/4598/s"], "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, 3, 0, 0], "traces": [0, 1, 1, 3, 1, 0, 3, 0, 1, 6, 0, 0, 3, 7, 0, 0, 1, -7, 6, 1, 0, 0, 0, 8, 3, -5, 7, 9, 0, -9, 0, 2, 1, 0, -7, 0, 6, 3, 1, 21, 0, 10, 0, -10, 0, 0, 8, 3, 3, -7, -5, -21, 7, 5, 9, 0, 0, 3, -9, 4, 0, 6, 2, 0, 1, 0, 0, -3, -7, 24, 0, 2, 6, 3, 3, -15, 1, 0, 21, -14, 0, 9, 10, 6, 0, 0, -10, -27, 0, 6, 0, 0, 8, 6, 3, 0, 3, 14, -7, 0, -5, -8, -21, -4, 7, 0, 5, -12, 9, -2, 0, 9, 0, -20, 3, 0, -9, 42, 4, 0, 0, 0, 6, 30, 2, 0, 0, -10, 1, -30, 0, -12, 0, 0, -3, 0, -7, -9, 24, 4, 0, 9, 2, 0, 6, 0, 3, -21, 3, -16, -15, -6, 1, -42, 0, 0, 21, -6, -14, 15, 0, 0, 9, -2, 10, 0, 6, 14, 0, 36, 0, 6, -10, 15, -27, 0, 0, 12, 6, -9, 0, 10, 0, 18, 8, 0, 6, 0, 3, 0, 0, 0, 3, 16, 14, 0, -7, -8, 0, 7, -5, -9, -8, 0, -21, 0, -4, 48, 7, 0, 0, 1, 5, 6, -12, 0, 9, 0, -2, 9, 0, -49, 9, 22, 0, -30, -20, -17, 3, 4, 0, 0, -9, 5, 42, 0, 4, -42, 0, -21, 0, -10, 0, 0, 6, 0, 30, 7, 2, 18, 0, 12, 0, 0, -10, 0, 1, 2, -30, 0, 0, -54, -12, -16, 0, 0, 0, 18, -3, -21, 0, 29, -7, 0, -9, 0, 24, -8, 4, 12, 0, 18, 9, 16, 2, 0, 0, 0, 6, 32, 0, 42, 3, 9, -21, 0, 3, 0, -16, 56, -15, 0, -6, -24, 1, 0, -42, 19, 0, -12, 0, -5, 21, 10, -6, 0, -14, -29, 15, 0, 0, -36, 0, -7, 9, -35, -2, -6, 10, 0, 0, -20, 6, 18, 14, 0, 0, -16, 36, -60, 0, 0, 6, 0, -10, 0, 15, 8, -27, 26, 0, 63, 0, -15, 12, 0, 6, 0, -9, 35, 0, 1, 10, 0, 0, 0, 18, -23, 8, 60, 0, 0, 6, 5, 0, 0, 3, -63, 0, -20, 0, -30, 0, -30, 3, 0, 16, -60, 14, 16, 0, -56, -7, -36, -8, 0, 0, -6, 7, 0, -5, -24, -9, 14, -8, 0, 0, 0, -21, 20, 0, -27, -4, 0, 48, 0, 7, 12, 0, 14, 0, -10, 1, 18, 5, 35, 6, 0, -12, 0, 0, -18, 9, -16, 0, 0, -2, 8, 9, -22, 0, -42, -49, -2, 9, 0, 22, -48, 0, 8, -30, 0, -20, -18, -17, 0, 3, -10, 4, -63, 0, -18, 0, 32, -9, 0, 5, -32, 42, 0, 0, -18, 4, 0, -42, -5, 0, 30, -21, -25, 0, 21, -10, 0, 0, 0, 0, 6, 6, -6, 0, -14, 30, 63, 7, 0, 2, 0, 18, -40, 0, 42, 12, 0, 0, 0, 0, 108, -10, -5, 0, 0, 1, 9, 2, 0, -30, 0, 0, 45, 0, -30, -54, -36, -12, 0, -16, -14, 0, 41, 0, 24, 0, 70, 18, 0, -3, -27, -21, 0, 0, -22, 29, 30, -7, 0, 0, -11, -9, 36, 0, -9, 24, 0, -8, 0, 4, -12, 12, -70, 0, 0, 18, 19, 9, 0, 16, 0, 2, 38, 0, 14, 0, 0, 0, -40, 6, -37, 32, 48, 0, 0, 42, 0, 3, 0, 9, 46, -21, 2, 0, -24, 3, 1, 0, 0, -16, 21, 56, -30, -15, 30, 0, -18, -6, 0, -24, 8, 1, 0, 0, 21, -42, -16, 19, 0, 0, -27, -12, 26, 0, 72, -5, 0, 21, 25, 10, 0, -6, -21, 0, 29, -14, 3, -29, 0, 15, -49, 0, 12, 0, 8, -36, 46, 0, 0, -7, 21, 9, 0, -35, 0, -2, 8, -6, 0, 10, 18, 0, 25, 0, 7, -20, -147, 6, 0, 18, -72, 14, 66, 0, 0, 0, 30, -16, -45, 36, -2, -60, 0, 0, -51, 0, -24, 6, 0, 0, 12, -10, 35, 0, 14, 15, 0, 8, 0, -27, -70, 26, 15, 0, -12, 63, 3, 0, 0, -15, 0, 12, 22, 0, -84, 6, 16, 0, 0, -9, -63, 35, -17, 0, 0, 1, -30, 10, 45, 0, -35, 0, -27, 0, 70, 18, -30, -23, 0, 8, 0, 60, 20, 0, 21, 0, -34, 6, 0, 5, 36, 0, 0, 0, -10, 3, 36, -63, 0, 0, -10, -20, 0, 0, -22, -30, 0, 0, 0, -30, 28, 3, -5, 0, 6, 16, 18, -60, -10, 14, 0, 16, 10, 0, 0, -56, -81, -7, 0, -36, -31, -8, -48, 0, 0, 0, 42, -6, 0, 7, 1, 0, -21, -5, 36, -24, 0, -9, 0, 14, -63, -8, 3, 0, 47, 0, 87, 0, 0, -21, -10, 20, 0, 0, 6, -27, -25, -4, 0, 0, 3, 48, -53, 0, -24, 7, 49, 12, 0, 0, 18, 14, -6, 0, 52, -10, 54, 1, 0, 18, 0, 5, 48, 35, 24, 6, 36, 0, 0, -12, 18, 0, -6, 0, 0, -18, 8, 9, 0, -16, 96, 0, 0, 0, -21, -2, 84, 8, 0, 9, 33, -22, 27, 0, -43, -42, 26, -49, 0, -2, -36, 9, 0, 0, 0, 22, 3, -48, 0, 0, 168, 8, -18, -30, -35, 0, 0, -20, 0, -18, 28, -17, -48, 0, 54, 3, 0, -10, 0, 4, 0, -63, -9, 0, 57, -18, 14, 0, -15, 32, -24, -9, -19, 0, -7, 5, -15, -32, 0, 42, 43, 0, 30, 0, 27, -18, 80, 4, 0, 0, 28, -42, 21, -5, -87, 0, -28, 30, 0, -21, 0, -25, 0, 0, -27, 21, -72, -10, 0, 0, 43, 0, -21, 0, 3, 0, 0, 6, -105, 6, 42, -6, 0, 0, -12, -14, -6, 30, 0, 63, 0, 7, -80, 0, 32, 2, -60, 0, 0, 18, 32, -40, 27, 0, 0, 42, -28, 12, 0, 0, 5, 0, -36, 0, -48, 0, -12, 108, 0, -10, -120, -5, 25, 0, -39, 0, 0, 1, -50, 9, -98, 2, 0, 0, 48, -30, -11, 0, 0, 0, -42, 45, -20, 0, 24, -30, 0, -54, 0, -36, 78, -12, 35, 0, 48, -16, 63, -14, 0, 0, 0, 41, -45, 0, -22, 24, 56, 0, 0, 70, 0, 18, 4, 0, 0, -3, -27, -27, 50, -21, 105, 0, 42, 0, 24, -22, 3, 29, 0, 30, -56, -7, 0, 0, 4, 0, -37, -11, 0, -9, -2, 36, 0, 0, -69, -9, 21, 24, 0, 0, 90, -8, 0, 0, 0, 4, 0, -12, 0, 12, 34, -70, 15, 0, 4, 0, 9, 18, 0, 19, -56, 9, 66, 0, -189, 16, 0, 0, 0, 2, -60, 38, 21, 0, 0, 14, -60, 0, 0, 0, 6, 0, -90, -40, 39, 6, 44, -37, 0, 32, 42, 48, 6, 0, -90, 0, 14, 42, 0, 0, 48, 3, 0, 0, 24, 9, -168, 46, -15, -21, 0, 2, -72, 0, -29, -24, 0, 3, 0, 1, -48, 0, -90, 0, -18, -16, -30, 21, 0, 56, 0, -30, 0, -15, 3, 30, -72, 0, 0, -18, -14, -6, 42, 0, 0, -24, 60, 8, 0, 1, -3, 0, 40, 0, 0, 21, -57, -42, 35, -16, 60, 19, -59, 0, 44, 0, -54, -27, 0, -12, 9, 26, 0, 0, -21, 72, 0, -5, 0, 0, 90, 21, 4, 25, 24, 10, 0, 0, 0, -6, 42, -21, -18, 0, 98, 29, -30, -14, 0, 3, 0, -29, 27, 0, 20, 15, -3, -49, 105, 0, 12, 12, 52, 0, 0, 8, -11, -36, 0, 46, 0, 0, 19, 0, -16, -7, -54, 21, 0, 9, 43, 0, -48, -35, 16, 0, -29, -2, 0, 8, 65, -6, 0, 0, 24, 10, -56, 18, 0, 0, -66, 25, 22, 0, 2, 7, -63, -20, -25, -147, -37, 6, -6, 0, 0, 18, -20, -72, 0, 14, 0, 66, -28, 0, -96, 0, 98, 0, 0, 30, 24, -16, 2, -45, 0, 36, 0, -2, 0, -60, 32, 0, -36, 0, -12, -51, -27, 0, 0, -24, -18, 6, -28, 0, -30, 0, 10, 12, 0, -10, -63, 35, 0, 0, -39, 14, -54, 15, 0, 0, 3, 8, 96, 0, -84, -27, 0, -70, 0, 26, 0, 15, 4, 0, -96, -12, 48, 63, 0, 3, 0, 0, -30, 0, -42, -15, -36, 0, 0, 12, -14, 22, 0, 0, 63, -84, -1, 6, -15, 16, 27, 0, -34, 0, 45, -9, -14, -63, 0, 35, -75, -17, -18, 0, 0, 0, 63, 1, 0, -30, 12, 10, 0, 45, 52, 0, 62, -35, 0, 0, 6, -27, 52, 0, 18, 70, 0, 18, 0, -30, -12, -23, -140, 0, 20, 8, -42, 0, -20, 60, 0, 20, 189, 0, -62, 21, 68, 0, 0, -34, -16, 6, 70, 0, 0, 5, -40, 36, 0, 0, -120, 0, -10, 0, -14, -10, 84, 3, 0, 36, 0, -63, 0, 0, -46, 0, -42, -10, 0, -20, 30, 0, -14, 0, 216, -22, -51, -30, -30, 0, -15, 0, 0, 0, 34, -30, 0, 28, 0, 3, -45, -5, 9, 0, -24, 6, 0, 16, 0, 18, 0, -60, -35, -10, 0, 14, 66, 0, 0, 16, 90, 10, 5, 0, 0, 0, -90, -56, 0, -81, -39, -7, -108, 0, -28, -36, 0, -31, 0, -8, 6, -48, 37, 0, -42, 0, -9, 0, 0, 42, 123, -6, 0, 0, -30, 7, 36, 1, 0, 0, -44, -21, 210, -5, -27, 36, 0, -24, 0, 0, 27, -9, 40, 0, -54, 14, 52, -63, 0, -8, 0, 3, 38, 0, 40, 47, -66, 0, 0, 87, -41, 0, 60, 0, 0, -21, 16, -10, 0, 20, 30, 0, 0, 0, -33, 6, 10, -27, 0, -25, 54, -4, -98, 0, -70, 0, -27, 3, 0, 48, 9, -53, 0, 0, 0, -24, -26, 7, 0, 49, 47, 12, 24, 0, -36, 0, 0, 18, 15, 14, -210, -6, 24, 0, 59, 52, 0, -10, 0, 54, 0, 1, 57, 0, 6, 18, -5, 0, 0, 5, 14, 48, 61, 35, 0, 24, -84, 6, 0, 36, 114, 0, 19, 0, -36, -12, 42, 18, 0, 0, 56, -6, 0, 0, 7, 0, 7, -18, -120, 8, 0, 9, 0, 0, -111, -16, 10, 96, 0, 0, 96, 0, 9, 0, -35, -21, 0, -2, 0, 84, 28, 8, 0, 0, 28, 9, -26, 33, 0, -22, 0, 27, -9, 0, 138, -43, -100, -42, 0, 26, 6, -49, -54, 0, 0, -2, -48, -36, -10, 9, -16, 0, 3, 0, -63, 0, -21, 22, 0, 3, 20, -48, -29, 0, 42, 0, 0, 168, 0, 8, -90, -18, 0, -30, -50, -35, 90, 0, 0, 0, 28, -20, -27, 0, -30, -18, -21, 28, 0, -17, -112, -48, 84, 0, 24, 54, -6, 3, -15, 0, 0, -10, 8, 0, 41, 4, 63, 0, 0, -63, 0, -9, -48, 0, 0, 57, 14, -18, 0, 14, 21, 0, 57, -15, -81, 32, 14, -24, 0, -9, 78, -19, 0, 0, 7, -7, 72, 5, 0, -15, -4, -32, 0, 0, -63, 42, 41, 43, 75, 0, 15, 30, 71, 0, 0, 27, 0, -18, 0, 80, -63, 4, -2, 0, 12, 0, 87, 28, 0, -42, 0, 21, 6, -5, 60, -87, 0, 0, 0, -28, -72, 30, 48, 0, -147, -21, -40, 0, 0, -25, 18, 0, -8, 0, 140, -27, 24, 21, 0, -72, 30, -10, 138, 0, -3, 0, -41, 43, 0, 0, -112, -21, 0, 0, 63, 3, 27, 0, 0, 0, 0, 6, 44, -105, -62, 6, 0, 42, 0, -6, -4, 0, 24, 0, 15, -12, -42, -14, 0, -6, 0, 30, 0, 0, 27, 63, 46, 0, 70, 7, 75, -80, 40, 0, 0, 32, 21, 2, 0, -60, 0, 0, -294, 0, 0, 18, -59, 32, 0, -40, 53, 27, 83, 0, -216, 0, 37, 42, 0, -28, 132, 12, -70, 0, -50, 0, 0, 5, 0, 0, -54, -36, 90, 0, -30, -48, 0, 0, -45, -12, -9, 108, -18, 0, -6, -10, -12, -120, 0, -5, 0, 25, 40, 0, -42, -39, -102, 0, 0, 0, 48, 1, -72, -50, 0, 9, -20, -98, 0, 2, 0, 0, -18, 0, 24, 48, 67, -30, 0, -11, 105, 0, 52, 0, -2, 0, 42, -42, -30, 45, -6, -20, 0, 0, 60, 24, 31, -30, 0, 0, -13, -54, -16, 0, -210, -36, 0, 78, 0, -12, 30, 35, -24, 0, 0, 48, -36, -16, 0, 63, 70, -14, 9, 0, 50, 0, -41, 0, 0, 41, -27, -45, -14, 0, 0, -22, 0, 24, 0, 56, 66, 0, 22, 0, 40, 70, -126, 0, 0, 18, 27, 4, 48, 0, -49, 0, -6, -3, 0, -27, -20, -27, 0, 50, -126, -21, 9, 105, 0, 0, -51, 42, 70, 0, -36, 24, 0, -22, 0, 3, 0, 29, -60, 0, 98, 30, 50, -56, 135, -7, 0, 0, 31, 0, -105, 4, 12, 0, 0, -37, -81, -11, 0, 0, 0, -9, 210, -2, 0, 36, 161, 0, -90, 0, 4, -69, 64, -9, 0, 21, 36, 24, -38, 0, 0, 0, -62, 90, 0, -8, 60, 0, 0, 0, -34, 0, 42, 4, -30, 0, 84, -12, -102, 0, 112, 12, 0, 34, 0, -70, -22, 15, 79, 0, 54, 4, 18, 0, 0, 9, 0, 18, 105, 0, 48, 19, -30, -56, 0, 9, 18, 66, 72, 0, 0, -189, 6, 16, 0, 0, -48, 0, -69, 0, -30, 2, 8, -60, 0, 38, 0, 21, -50, 0, 59, 0, -66, 14, 0, -60, 12, 0, 0, 0, 126, 0, 15, 6, 0, 0, 54, -90, 0, -40, 84, 39, -21, 6, 0, 44, -15, -37, 70, 0, 4, 32, 12, 42, 0, 48, 0, 6, 54, 0, 0, -90, -64, 0, -30, 14, -63, 42, 63, 0, 0, 0, 65, 48, 0, 3, 30, 0, -27, 0, 70, 24, 0, 9, 0, -168, -53, 46, -81, -15, -20, -21, 70, 0, 0, 2, 0, -72, 0, 0, -93, -29, -28, -24, 0, 0, -96, 3, -32, 0, -28, 1, 0, -48, 0, 0, 82, -90, 126, 0, 8, -18, -10, -16, 0, -30, 0, 21, -83, 0, 3, 56, 6, 0, 0, -30, -63, 0, -64, -15, 49, 3, 54, 30, 0, -72, -54, 0, 0, 0, 54, -18, -10, -14, 0, -6, 18, 42, 40, 0, -126, 0, -70, -24, -70, 60, 9, 8, 0, 0, 0, 1, 141, -3, 0, 0, -92, 40, 174, 0, 71, 0, 0, 21, 0, -57, -12, -42, -28, 35, -30, -16, 0, 60, 0, 19, 0, -59, 85, 0, -96, 44, 18, 0, 0, -54, 64, -27, -75, 0, 0, -12, 36, 9, 0, 26, 80, 0, -9, 0, 9, -21, 0, 72, 0, 0, -159, -5, -12, 0, 15, 0, -48, 90, 0, 21, 0, 4, 147, 25, 60, 24, -50, 10, 0, 0, -16, 0, 112, 0, 18, -6, 0, 42, 0, -21, -18, -18, 0, 0, 30, 98, 156, 29, 40, -30, 0, -14, 108, 0, 16, 3, 112, 0, 0, -29, -40, 27, -17, 0, 0, 20, 81, 15, 0, -3, 96, -49, 54, 105, 55, 0, 72, 12, 0, 12, 20, 52, 108, 0, -56, 0, 0, 8, 0, -11, 42, -36, 0, 0, 54, 46, 12, 0, 20, 0, -18, 19, 11, 0, -54, -16, 0, -7, 0, -54, 49, 21, 24, 0, -20, 9, -70, 43, 0, 0, -35, -48, -160, -35, 192, 16, -9, 0, 0, -29, 0, -2, 39, 0, 0, 8, -63, 65, 0, -6, 80, 0, 126, 0, -45, 24, -60, 10, 0, -56, 6, 18, 0, 0, 99, 0, 81, -66, 0, 25, 54, 22, 0, 0, 4, 2, -129, 7, 0, -63, 23, -20, 78, -25, 0, -147, 0, -37, 0, 6, -47, -6, -71, 0, -108, 0, 66, 18, 0, -20, 0, -72, 42, 0, -67, 14, 0, 0, 60, 66, -42, -28, 9, 0, 0, -96, -60, 0, 0, 98, -70, 0, 60, 0, 336, 30, -101, 24, 0, -16, -54, 2, 74, -45, 9, 0, -105, 36, 0, 0, 48, -2, 0, 0, 98, -60, 22, 32, 0, 0, 0, -36, -42, 0, 84, -12, 0, -51, 10, -27, -72, 0, 102, 0, 36, -24, 162, -18, 0, 6, 0, -28, 0, 0, 86, -30, 7, 0, 0, 10, -30, 12, -70, 0, 0, -10, -35, -63, 0, 35, -27, 0, 12, 0, 0, -39, 114, 14, 0, -54, -60, 15, 42, 0, 14, 0, 12, 3, -45, 8, -88, 96, 0, 0, -36, -84, 0, -27, 0, 0, -57, -70, -75, 0, 65, 26, -21, 0, 0, 15, -6, 4, -30, 0, -84, -96, 96, -12, 0, 48, 0, 63, -28, 0, 129, 3, -126, 0, 0, 0, 60, -30, 20, 0, 0, -42, 81, -15, 100, -36, 0, 0, 240, 0, -16, 12, -4, -14, 0, 22, -48, 0, -98, 0, 84, 63, -36, -84, 0, -1, 63, 6, 0, -15, -98, 16, -174, 27, 0, 0, -69, -34, -84, 0, 96, 45, 0, -9, 0, -14, 18, -63, -6, 0, 0, 35, -252, -75, 0, -17, 0, -18, 56, 0, 30, 0, -81, 0, 0, 63, -56, 1, -108, 0, -28, -30, 0, 12, 0, 10, -9, 0, 154, 45, 129, 52, -36, 0, 0, 62, -42, -35, 79, 0, 20, 0, 9, 6, 0, -27, -67, 52, 0, 0, -80, 18, -42, 70, -210, 0, 69, 18, 72, 0, 126, -30, 0, -12, 0, -23, 0, -140, -91, 0, -105, 20, -18, 8, 0, -42, 0, 0, -18, -20, -119, 60, 100, 0, 0, 20, 42, 189, 0, 0, 0, -62, -36, 21, 0, 68, -240, 0, -26, 0, 66, -34, 96, -16, 0, 6, 28, 70, -120, 0, 0, 0, -6, 5, 0, -40, 36, 36, -42, 0, 96, 0, 30, -120, 0, 0, 27, -10, 24, 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": "4598.2.a.k", "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], [3], [1], [0], [3], [0], [1], [6], [0], [0], [3], [7], [0], [0], [1], [-7], [6], [1], [0], [0], [0], [8], [3], [-5], [7], [9], [0], [-9], [0], [2], [1], [0], [-7], [0], [6], [3], [1], [21], [0], [10], [0], [-10], [0], [0], [8], [3], [3], [-7], [-5], [-21], [7], [5], [9], [0], [0], [3], [-9], [4], [0], [6], [2], [0], [1], [0], [0], [-3], [-7], [24], [0], [2], [6], [3], [3], [-15], [1], [0], [21], [-14], [0], [9], [10], [6], [0], [0], [-10], [-27], [0], [6], [0], [0], [8], [6], [3], [0], [3], [14], [-7], [0], [-5]]}