# Stored data for newform 4598.2.a.g, downloaded from the LMFDB on 23 April 2024.
{"label": "4598.2.a.g", "space_label": "4598.2.a", "level": 4598, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797782006, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 543610066813233419, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]], [5, [-4, 1]], [7, [1, 1]], [13, [5, 1]]], "qexp_display": "q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-3q^{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": "0.015", "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": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "5.094", "prec": 17}], "related_objects": ["EllipticCurve/Q/4598/g"], "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, 0, 4, -1], "traces": [0, 1, -1, 0, 1, 4, 0, -1, -1, -3, -4, 0, 0, -5, 1, 0, 1, -3, 3, -1, 4, 0, 0, 9, 0, 11, 5, 0, -1, 2, 0, -10, -1, 0, 3, -4, -3, -9, 1, 0, -4, 2, 0, 8, 0, -12, -9, 9, 0, -6, -11, 0, -5, 6, 0, 0, 1, 0, -2, 7, 0, 12, 10, 3, 1, -20, 0, -3, -3, 0, 4, 12, 3, 15, 9, 0, -1, 0, 0, 2, 4, 9, -2, 8, 0, -12, -8, 0, 0, 14, 12, 5, 9, 0, -9, -4, 0, 2, 6, 0, 11, 14, 0, 6, 5, 0, -6, -5, 0, 13, 0, 0, -1, 8, 0, 36, 2, 15, -7, 3, 0, 0, -12, 0, -10, 24, -3, -14, -1, 0, 20, -4, 0, 1, 3, 0, 3, -5, 0, -10, -4, 0, -12, 0, -3, 8, -15, 0, -9, 4, 0, -18, 1, 9, 0, -40, 0, -12, -2, 0, -4, -9, -9, -16, 2, 0, -8, 12, 0, 12, 12, 3, 8, 11, 0, -11, 0, 0, -14, 5, -12, 10, -5, 0, -9, -36, 0, 0, 9, 0, 4, -3, 0, -16, -2, 0, -6, 10, 0, -5, -11, 0, -14, -2, 0, 8, -6, -27, -5, 0, 0, 20, 6, 0, 5, 32, 0, 10, -13, 0, 0, 15, 0, 8, 1, -33, -8, -13, 0, -10, -36, 0, -2, 21, -15, 36, 7, 0, -3, -16, 0, -22, 0, 0, 12, -24, 0, 5, 10, 0, -24, 6, 3, 0, 14, 0, 1, 6, 0, 9, -20, -6, 4, -24, 0, 24, -1, 0, -3, 3, 0, 9, -3, 0, 5, 0, 0, 14, 10, 30, 4, 4, 0, 10, 12, 0, 0, -2, 3, -8, -8, 0, 15, -6, 0, 28, 9, 0, -4, -45, 0, -8, 18, 0, -1, 48, -9, -7, 0, 0, 40, -13, 0, -15, 12, 12, 2, 7, 0, 0, 4, 0, 9, 3, 9, -55, 16, 0, -2, -9, 0, -31, 8, 27, -12, -12, 0, 20, -12, 0, -12, 0, -3, 13, -8, 0, -11, 12, 0, -10, 11, 0, 0, 26, 0, 48, 14, 0, -5, -21, 12, 1, -10, 0, 5, 60, 0, -17, 9, -6, 36, -6, 0, 10, 0, 0, -9, -10, 0, -25, -4, 0, 3, -10, 0, 0, 16, -24, 2, -2, 0, -27, 6, 0, -10, 8, 0, -12, 5, 0, 11, -20, 0, 50, 14, 36, 2, 0, 0, -28, -8, 0, 6, -7, 27, 32, 5, 0, 0, 12, 0, 9, -20, -27, -6, -33, 0, -12, -5, 0, -32, -20, 0, -6, -10, 0, 13, -9, 0, -2, 0, 18, -15, -26, 0, 56, -8, 0, -1, 10, 33, 0, 8, 0, 13, 20, 0, 19, 10, 0, 36, -20, 0, 16, 2, 0, -21, 6, 15, 3, -36, 0, -7, 0, 0, -11, 3, -18, 16, 17, 0, 45, 22, 0, 0, 8, 0, 16, -12, 0, 24, -18, 0, -6, -5, 0, -10, -12, 0, 4, 24, 0, -6, -1, -3, 56, 0, 0, -14, 15, 0, -15, -1, 0, -6, 24, 0, 0, -9, 0, 20, 8, 6, -29, -4, 0, 24, 30, 0, 58, -24, -21, 1, -10, 0, -20, 3, 0, -3, 0, 0, -38, -9, 0, 3, 52, 0, 43, -5, -36, 0, -2, 0, -2, -14, 0, -10, 12, -30, -40, -4, 0, -4, 41, 0, 32, -10, -9, -12, 44, 0, -2, 0, 0, 2, 99, -3, 19, 8, 0, 8, -8, 0, 0, -15, 60, 6, 26, 0, 10, -28, 0, -9, 13, 0, 12, 4, 0, 45, 26, 0, 42, 8, 9, -18, 0, 0, -22, 1, 0, -48, -45, 9, -4, 7, 0, 0, -3, 0, -8, -40, 0, 13, -14, 0, 41, 15, 0, -12, 27, -12, -13, -2, 0, -7, -56, 0, 30, 0, -36, -4, -6, 0, -28, -9, 0, -3, -24, -9, 0, 55, 0, -16, -48, 0, -16, 2, -45, 9, -39, 0, 10, 31, 0, -8, 4, -27, 18, 12, 0, 12, 0, 0, 10, -20, 0, 12, 21, 0, -2, 12, 0, 0, -4, 3, -20, -13, 0, 8, -30, 0, -32, 11, 0, -12, -40, 0, -6, 10, 0, -11, 42, 0, 9, 0, 0, -26, -14, 0, -32, -48, -6, -14, -90, 0, 0, 5, 0, 21, -25, -12, -6, -1, 0, 10, 22, 0, 44, -5, -27, -60, -24, 0, 0, 17, 0, -9, 0, 6, 14, -36, 0, 6, 46, 0, 16, -10, -24, 0, 5, 0, -34, 9, 0, 10, -72, 0, 52, 25, 0, 4, -3, 0, -13, -3, 36, 10, -35, 0, 46, 0, 0, -16, -1, 24, -110, -2, 0, 2, -2, 0, 0, 27, 0, -6, -48, 0, 40, 10, 0, -8, -8, 0, -60, 12, 0, -5, 33, 0, -27, -11, -42, 20, 0, 0, -36, -50, 0, -14, 26, -36, 4, -2, 0, 0, -64, 0, -8, 28, -15, 8, 20, 0, 44, -6, 0, 7, 11, -27, 11, -32, 0, -5, 18, 0, 48, 0, 0, -12, -16, 0, -25, -9, 0, 20, 48, 27, 0, 6, 0, 33, -81, 0, 12, 12, 12, 5, 0, 0, 58, 32, 0, 20, 58, 0, 44, 6, 0, 10, 0, 0, 15, -13, -6, 9, -24, 0, -15, 2, 0, 0, -35, -18, -4, 15, 0, 26, -4, 0, 14, -56, 0, 8, -9, 0, 20, 1, 0, -10, -20, -33, -18, 0, 0, -8, 40, 0, 13, -13, -42, -20, 24, 0, 0, -19, 0, -10, 4, 0, 3, -36, 0, 20, -60, 0, -99, -16, -18, -2, 30, 0, 6, 21, 0, -6, 0, -15, 14, -3, 0, 36, -45, 0, 18, 7, 0, 0, 28, 0, -75, 11, 0, -3, -34, 18, -12, -16, 0, -17, 5, 0, 69, -45, 15, -22, -64, 0, 1, 0, 0, -8, 13, 0, 10, -16, 0, 12, -12, 0, 0, -24, -39, 18, -22, 0, 40, 6, 0, 5, 72, 0, -26, 10, 0, 12, -20, 0, -52, -4, 0, -24, 0, 0, -21, 6, 0, 1, -6, 3, 18, -56, 0, 0, 4, 0, -8, 14, -24, -15, -31, 0, -14, 15, 0, 1, 22, 0, -10, 6, 0, -24, -24, 0, 26, 0, -108, 9, -36, 0, 56, -20, 0, -8, -4, -6, 0, 29, 0, 4, -29, 0, 30, -24, -45, -30, 80, 0, 18, -58, 0, 24, 18, 21, 50, -1, 0, 10, 0, 0, -14, 20, -9, -3, -18, 0, 88, 3, 0, 0, -40, 0, 81, 38, 0, 9, 40, 0, 35, -3, 0, -52, -21, 0, -41, -43, 0, 5, 36, 36, 12, 0, 0, 2, -16, 0, 60, 2, 0, 14, -24, 0, 0, 10, 0, -12, 32, 30, 29, 40, 0, 4, -7, 0, 3, 4, -72, -41, -54, 0, -12, -32, 0, 10, 0, 9, -52, 12, 0, -44, 9, 0, 16, 2, 42, 0, -40, 0, 90, -2, 0, -99, 24, 3, -62, -19, 0, -8, -70, 0, -12, -8, 0, 8, 66, 0, 84, 0, 0, 15, -12, -60, 12, -6, 0, -26, 99, 0, 0, -10, 12, 28, 3, 0, -12, 9, 0, -13, 0, 0, 4, -12, 0, -4, 6, 0, -64, -45, -3, -26, 0, 0, 51, -42, 0, -8, -88, -9, -36, 18, 0, 0, -11, 0, 6, 22, 0, -1, 2, 0, 54, 48, 0, 45, -33, -9, -66, 4, 0, -7, -51, 0, -62, 0, 15, 3, 20, 0, -31, 8, 0, 40, -45, 0, 0, -13, 0, 14, 16, 0, -10, -41, 30, -15, -5, 0, 24, 12, 0, -27, -54, 12, -10, 13, 0, 2, 0, 0, -10, 7, 0, 56, -20, 0, 3, -30, 0, 0, 42, 36, 25, 4, 0, 6, 36, 0, 24, 28, 0, 9, 10, 0, -61, 3, 0, 24, 36, 9, -2, 0, 0, -55, 0, 0, 65, 16, -24, 48, -28, 0, 0, 16, 0, -2, -70, 45, -96, -9, 0, 39, -14, 0, 28, -10, 0, -31, 66, 0, -56, 8, 0, -4, 0, 27, -80, -18, 0, -12, 3, 0, -30, -12, -12, 0, -6, 0, 12, -10, 0, 20, -12, 0, 16, -12, 0, -21, 36, 0, 63, 2, 54, -12, 2, 0, 18, 0, 0, 4, -6, -3, 44, 20, 0, 13, -40, 0, 0, -8, -27, 30, -10, 0, -51, 32, 0, -11, 56, 0, -15, 12, 0, 40, 25, 0, 5, 6, 120, -10, 0, 0, 16, 11, 0, -42, 108, 0, 16, -9, 0, 0, 48, 0, -24, 26, 36, 14, 40, 0, -65, 32, 0, 48, -12, 6, -25, 14, 0, 90, -72, 0, -44, 0, 0, -5, 48, 0, -8, -21, 0, 25, -44, 12, 0, 6, 0, 1, -32, 0, 12, -10, 27, -22, -48, 0, 50, -44, 0, 5, -90, 27, 61, 60, 0, 24, 0, 0, -24, 0, 48, -17, -40, 0, 22, 9, 0, 0, 77, -6, -20, -14, 0, 36, -30, 0, -20, -6, 0, -46, -67, 0, -10, -16, 0, 10, -48, 24, -180, 0, 0, -5, 52, 0, -2, 34, -36, -9, -32, 0, 0, -10, 0, 72, 28, 0, -42, -52, 0, -25, -18, 0, 60, -4, -36, 3, -21, 0, 132, 13, 0, 3, 0, -36, 30, -10, 0, 35, -28, 0, 12, -46, -9, 0, -27, 0, 27, 16, 0, 1, -15, -24, 14, 110, 0, 2, 14, 0, -52, -2, -33, 2, -25, 0, -8, 0, 0, -27, -60, 0, -33, 6, 0, 48, 60, 0, 0, -40, 33, -10, -8, 0, -5, 8, 0, 8, 0, 0, 28, 60, 0, -12, 13, 0, -72, 5, 0, -33, 0, 0, -74, 27, 0, 11, -30, 42, 10, -20, 0, 0, -9, 0, 20, 36, -15, 50, 32, 0, 12, 14, 0, -26, 24, 36, 32, -4, 0, 2, -120, 0, -71, 0, -30, 64, -21, 0, 108, 8, 0, -28, 26, 15, 0, -8, 0, -20, -60, 0, -36, -44, 0, 6, -6, 0, 70, -7, 0, -11, -124, 27, -3, -11, 0, 32, 0, 0, -2, 5, 108, -18, 21, 0, -32, -48, 0, 0, 16, 0, -33, 12, 0, 16, 135, 0, -37, 25, 0, 9, 80, 0, 22, -20, 0, -48, -14, -27, 7, 0, 0, -6, -18, 0, -55, -33, 0, 81, 20, 0, 0, -12, 0, -12, -50, -12, 14, -5, 0, 0, 52, 0, -42, -58, 9, -32, 51, 0, -44, -20, 0, -58, 0, 0, -5, -44, 0, -6, 4, 0, 48, -10, 48, 0, -81, 0, -58, -15, 0, 13, -40, 6, -19, -9, 0, 24, -18, 0, 49, 15, 0, -2, -6, 0, 63, 0, 0, 35, 16, 18, 104, 4, 0, -15, 24, 0, 0, -26, -30, 4, 132, 0, -38, -14, 0, 56, 25, 0, -72, -8, 0, 9, 0, 0, 58, -20, 15, -1, 0, 0, -84, 10, 0, 20, -6, 33, 76, 18, 0, 0, 4, 0, 50, 8, 0, -40, -62, 0, 54, -13, 0, 13, 18, 42, 15, 20, 0, -24, 24, 0, 165, 0, 6, 19, -70, 0, -40, 10, 0, -4, -68, 0, 0, -3, 0, 36, 24, 0, -2, -20, -24, 60, -11, 0, 21, 99, 0, 16, -39, 18, -24, 2, 0, -30, 0, 0, -10, -6, 81, -21, 40, 0, -62, 6, 0, 0, 27, 15, -43, -14, 0, 3, 19, 0, 40, -36, 0, 45, -3, 0, -40, -18, 0, -7, -66, 0, -120, 0, 0, -28, -100, 0, -9, 75, -60, -11, 70, 0, 0, 3, 0, 34, -6, -18, 72, 12, 0, 16, 8, 0, -40, 17, 0, -5, -14, 0, -24, -69, 0, 45, 0, -15, 18, 22, 0, 64, -13, 0, -1, -1, -96, 0, -20, 0, -14, 8, 0, -13, -6, 0, -8, -10, 0, 16, 56, 0, -26, -12, -30, 12, -108, 0, -6, 0, 0, 24, -54, 39, 90, -18, 0, 22, -4, 0, 0, -40, 0, -6, 78, 0, 22, -5, 0, -72, -29, 0, -10, 26, 0, -10, -48, 0, 36, -12, -45, 20, 0, 0, 65, 52, 0, 4, -3, 0, 0, 24, 0, 0, 29, 0, -80, 21, -24, -6, -12, 0, 44, -1, 0, 6, 200, -3, -6, -18, 0, 56, 72, 0, 8, 0, 99, -4, 36, 0, -81, 8, 0, -14, 5, 24, 0, 15, 0, 31, -60, 0, 60, 14, 39, -15, -112, 0, 126, -1, 0, -22, 6, 0, 74, 10, 0, -6, 0, 0, 24, 24, 30, 24, 49, 0, -28, -26, 0, 0, 14, 108, -13, -9, 0, 36, 88, 0, 30, -56, 0, 20, 66, 0, 1, 8, 0, 4, 21, 6, -80, 0, 0, -29, 45, 0, 48, -4, -63, 29, -24, 0, 0, -30, 0, 24, 36, 45, -48, 30, 0, -80, 0, 0, 2, -18, -108, 58, 30, 0, 80, -24, 0, -18, 0, -21, -72, -50, 0, 1, -50, 0, -61, -10, 0, 0, -48, 0, 22, 14, 0, -20, 35, 9, -2, 3, 0, 18, -8, 0, 7, -88, 48, -3, -46, 0, -80, 0, 0, 40, 42, 0, -56, -81, 0, -38, -24, 0, 0, -9, 66, -40, -60, 0, 12, -35, 0, 3, 13, 0, 4, 52, 0, 21, -63, 0, -36, 41, 0, 43, 0, 0, 15, -5, 0, -36, -8, -36, 5, -12, 0, 0, -120, 0, 45, -2, 72, 16, -50, 0, 34, -60, 0, -2, 24, 0, -104, -14, 0, 24, -7, 0, -32, 0, -15, -10, 154, 0, 12, 12, 0, -32, 18, -30, 0, -29, 0, -40, -33, 0, 4, -4, 0, 7, 50, 0, 40, -3, 0, -4, -55, 72, -30, 41, 0, 54, 0, 0, -108, 12, -18, 32, -3, 0, -150, -10, 0, 0, 48, -9, 30, 52, 0, -12, -78, 0, 55, 44, 0, -9, 48, 0, -25, -16, 0, -2, 76, -42, -51, 0, 0, 40, 4, 0, -10, -90, 0, 2, 39, 0, 0, 99, 0, -24, -54, -3, -80, 62, 0, 19, 59, 0, -50, 8, -18, 70, 64, 0, 31, 12, 0, 8, 0, 0, 126, -8, 0, -66, -25, 0, 15, -84, -27, 0, 6, 0, 24, -15, 0, 12, 19, 60, -38, -12, 0, 6, 12, 0, -17, 26, 18, -99, 62, 0, -50, 0, 0, 10, -30, -12, -20, -28, 0, -3, 30, 0, 0, 12, 72, -9, 54, 0, -88, 13, 0, 0, -24, 0, -14, -4, 0, 12, 30, 0, 84, 4, -72, -6, 0, 0, 1, 64, 0, 45, 4, 3, 68, 26, 0, 0, 21, 0, 29, -51, 0, 42, 180, 0, 16, 8, 0, 88, 20, 9, 14, 36, 0, -18, -47, 0, 14, 0, -9, 11, 64, 0, 22, -6, 0, -22, -12, 0, 0, 1, 0, -2, 64, 0, -8, -54, -27, -48, 27, 0, 10, -45, 0, 33, 12, 9, -20, 66, 0, -4, 0, 0, -72, 7, 0, 51, 48, 0, -45, 62, 0, 0, -24, -15, -4, -3, 0, -20, -26, 0, 48, 31, 0, -8, -34, 0, 27, -40, 0, 45, 15, 0, -48, 0, 0, 13, 4, 0, 54, -14, -42, -16, 16, 0, 0, 10, 0, 41, 24, -30, 80, 15, 0, 5, 117, 0, 80, -24, -90, -12, 21, 0, -4, 27, 0, 54, 0, -12, -34, 10, 0, -13, 154, 0, -1, -2, -12, 0, -26, 0, -12, 10, 0, -7, 56, 0, 7, -56, 0, 20, -51, 0, 60, -3, -30, 30, -29, 0, -91, 0, 0, -42, -60, -36, 2, -25, 0, -4, -50, 0, 0, -6, 0, -36, 54, 0, 17, -24, 0, -28, -80, 0, 66, -9, 0, -10, -25, 0, 28, 61, 6, -3, 0, 0, 25, -24, 0, -36, -16, -9, 34, 2, 0, 0, -36, 0, 72, 55, 24, 0, 5, 0, 32, -65, 0, -16, -26, 24, -10, -48, 0, 28, -116, 0, -62, 0, 0, -16, -41, 0, 96, 2, 0, 70, -108, -45, 0, 96, 0, 9, -43, 0, 120, -39, 18, 14, 10, 0, 10, -28, 0, 10, 232, 0, -53, 31, 0, -66, 0, 0, 25, 56, -84, -8, -47, 0, -20, 4, 0, 0, 18, -27, -40, 80, 0, 18, 36, 0, -59, 12, 0, -3, -55, 0, 54, 30, 0, 12, 10, 12, 96, 0, 0, 6, 62, 0, -12, -12, 135, 10, 38, 0, 0, -20, 0, 12, 6, 0, -135, -16, 0, 12, -152, 0, -36, 21, 24, -36, 38, 0, 0, -63, 0, -2, 0, -54, -34, 12, 0, -2, 2, 0, 143, -18, 0, 0, 84, 0, 76, -4, 0, 6, 172, 3, 27, -44, 0, -20, 24, 0, -100, -13, -144, 40, -6, 0, -62, 0, 0, 8, -47, 27, -8, -30, 0, 10, -140, 0, 0, 51, 21, -32, -8, 0, -48, 11, 0, -56, 48, 0, 63, 15, 0, -12, 90, 0, 12, -40, 0, -25, 0, 0, 48, -5, 0, -6, 77, -120, 37, 10, 0, 0, -160, 0, -36, -16, 39, -11, -90, 0, -75, 42, 0, -108, 20, 0, -17, -16, 0, 9, 4, 0, 164, 0, 45, -48, 52, 0, -50, 24, 0, -26, 88, -36, 0, -14, 0, -40, -4, 0, -16, 65, -36, -32, 48, 0, -36, -48, 0, 12, -61, -6, 176, 25, 0, -14, 0, 0, -100, -90, -21, 72, -8, 0, 6, 44, 0, 0, -50, 0, 28, 5, 0, -48, 108, 0, 18, 8, 0, 21, -36, 0, 216, -25, 0, 44, 30, -12, -24, 0, 0, -6, 76, 0, 14, -1, 0, 32, -42, 0, 0, -12, 0, 10, -41, -27, -40, 22, 0, 48, -74, 0, -32, -50, -9, 44, -57, 0, 24, -5, 0, 90, 0, -27, 58, -61, 0, -60, -126, 0, -18, -24, 165, 0, 29, 0, 28, 24, 0, 0, -12, -48, 104, 17, 0, 40, 21, 0, -33, -22, 0, -9, 40, 0, -9, 0, 0, -77, 65, 6, 44, 20, 0, 14, -41, 0, 0, -36, 27, 30, 75, 0, 52, 20, 0, 6, 9, 0, 0, 46, 0, 67, 33, 0, 50, 10, 93, 16, 0, 0, 12, -10, 0, 48, 12, -24, -72, 180, 0, 0, 30, 0, 104, 5, -81, -52, -93, 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.g", "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], [4], [0], [-1], [-1], [-3], [-4], [0], [0], [-5], [1], [0], [1], [-3], [3], [-1], [4], [0], [0], [9], [0], [11], [5], [0], [-1], [2], [0], [-10], [-1], [0], [3], [-4], [-3], [-9], [1], [0], [-4], [2], [0], [8], [0], [-12], [-9], [9], [0], [-6], [-11], [0], [-5], [6], [0], [0], [1], [0], [-2], [7], [0], [12], [10], [3], [1], [-20], [0], [-3], [-3], [0], [4], [12], [3], [15], [9], [0], [-1], [0], [0], [2], [4], [9], [-2], [8], [0], [-12], [-8], [0], [0], [14], [12], [5], [9], [0], [-9], [-4], [0], [2], [6], [0], [11]]}