# Stored data for newform 6045.2.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "6045.2.a.b", "space_label": "6045.2.a", "level": 6045, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660930973, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 826508549831823075, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [2, 1]], [7, [-2, 1]], [11, [5, 1]]], "qexp_display": "q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{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": 24180, "fricke_eigenval": 1, "atkin_lehner_string": "+-+-", "analytic_conductor": 48.26956802186399, "hecke_ring_index": 1, "level_radical": 6045, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [6045, 1, [4031, 4837, 1861, 2731], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 13, 31], "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": "1.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.010", "prec": 17}], "related_objects": ["EllipticCurve/Q/6045/b"], "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], [31, -1]], "trace_display": [-2, -1, 1, 2], "traces": [0, 1, -2, -1, 2, 1, 2, 2, 0, 1, -2, -5, -2, -1, -4, -1, -4, 4, -2, -2, 2, -2, 10, -2, 0, 1, 2, -1, 4, 0, 2, 1, 8, 5, -8, 2, 2, 1, 4, 1, 0, 10, 4, -10, -10, 1, 4, 4, 4, -3, -2, -4, -2, 12, 2, -5, 0, 2, 0, -10, -2, 14, -2, 2, -8, -1, -10, -12, 8, 2, -4, -4, 0, -7, -2, -1, -4, -10, -2, -8, -4, 1, -20, -4, -4, 4, 20, 0, 0, 15, -2, -2, -4, -1, -8, -2, -8, 10, 6, -5, 2, -3, 8, -5, 0, -2, -24, 3, -2, -6, 10, -1, -8, -3, -4, -2, 0, -1, 20, 8, 0, 14, -28, -10, 2, 1, -4, -20, 0, 10, 2, -21, 10, -4, 24, -1, 0, -18, -4, 12, 4, -4, 8, 5, -4, 0, 14, 3, 2, 4, 2, 13, 0, 4, 20, 1, 2, -19, 16, -12, 8, -4, -2, 16, 20, 5, 8, -3, 0, 1, -8, -2, -20, 3, 0, 2, 20, 10, -30, 8, 2, -12, 4, -14, 0, 1, 2, -20, 8, -2, 4, -3, 8, -16, -20, 1, -6, 21, 10, 14, 0, 12, 6, 0, -8, 10, 10, -2, 4, 10, 4, 3, 24, 4, -6, -10, 0, 2, 12, 7, -10, -4, 2, -13, 16, 1, 6, 28, 4, -13, 4, 10, 0, 5, 2, 4, -20, 8, -16, 8, 4, 10, -28, -1, 28, -3, 20, 2, 0, 4, -2, 22, 4, 10, 40, -4, 16, -3, -20, 2, -2, 0, 42, -10, 0, 12, 8, -15, -24, 0, 2, 13, -16, 2, 36, -5, 4, 2, -24, 1, 0, -28, 8, -5, -8, 2, -10, 20, 8, -1, 0, -10, -14, -18, -6, -10, 0, 5, -8, 2, -2, -20, -26, 3, 8, 14, -8, -32, -20, 5, -2, 31, 0, -6, 38, 2, -16, -6, 24, 0, -8, -3, 8, -8, 2, -1, -32, 6, 0, 8, -10, 0, -8, 1, 6, -12, 8, -10, -2, 3, 8, -5, 4, -20, 0, 2, -6, -2, 0, -10, -4, 1, -40, 3, -20, -4, 30, -8, -16, 18, 0, -15, 24, -14, -4, -7, 28, 28, 8, 10, -2, 24, -2, -31, 40, -1, 0, 0, 4, -34, -4, 20, 6, -27, 0, -10, 32, -10, 20, -36, -2, -8, 0, 21, -42, -8, -10, 14, -28, 4, -4, -5, -24, -1, -6, 1, 0, -5, 0, 7, -20, 18, -10, -20, 4, -4, -8, -12, -20, 0, -4, -22, -6, 4, 0, 4, -8, 28, 6, -5, 20, -10, 4, -4, -4, 0, -12, 4, -14, 8, 0, -3, 8, -31, -2, 15, 26, -4, -16, 30, -2, -50, -6, -13, -56, -2, 0, -5, 26, -4, -4, 13, -20, -31, 0, -1, -10, 40, -2, -24, -8, 19, 0, 50, -16, -2, 16, 12, -16, 24, -8, -1, -20, 4, 28, 10, 2, 8, 0, -16, 6, -30, -20, 0, -4, -5, -4, -8, -8, 4, 2, 3, -44, -24, 0, -3, -20, -1, -40, -34, 8, -14, -32, 2, 6, -5, 20, -20, -4, -3, 0, 3, 0, -10, -42, -2, 20, 4, -20, -19, -24, -10, -8, -10, 30, 3, 0, -8, 0, 15, -2, -10, -26, 12, 32, -6, -4, -28, -36, 14, 10, 0, 0, -16, -4, -1, 24, -35, -2, 10, -8, 20, 56, -31, -8, -3, 10, 2, 0, 10, -4, 10, 10, 3, -40, -2, -8, 26, 2, 16, 0, -8, 20, -60, 0, -1, 36, 37, 6, -2, 20, -21, -4, 18, -10, 8, 8, -14, -4, 40, 0, 28, 40, -12, 26, 14, -6, -23, -16, 0, -28, -4, 8, -18, 64, -10, 0, -38, -10, 11, 2, 2, -62, 30, -4, 1, 12, -10, -38, 4, -4, 1, 0, -3, 12, -20, -24, 3, 0, -4, 0, 24, 6, 23, -8, 10, 16, -30, 0, 50, 2, -2, 32, -15, -12, -21, -40, -7, -16, -44, 10, 2, 0, 4, 0, -4, -2, 0, -6, 13, 24, -70, -16, 28, 20, -1, 2, -16, -6, 20, 0, -28, 10, 6, -4, -18, 40, 13, 40, -12, -4, -10, 6, -10, 4, 12, 0, 40, 20, -5, 4, -19, -2, -2, 40, -4, -6, -6, 20, 13, 8, -8, 0, -2, 16, 5, 16, -8, -36, -16, -4, -10, 30, -10, -24, 0, 28, -16, 0, 1, 14, -40, -28, 14, -56, 3, -16, 60, -20, -47, 2, -2, -48, 19, 0, 4, 62, -4, -40, 6, 2, -27, -16, -22, 0, 13, -4, 38, 68, -10, 0, -42, -40, -12, -6, 4, 54, 10, -16, 18, 20, 3, -32, -11, 20, 1, 0, -2, 72, -20, 2, 20, 16, 0, 12, -19, -42, -5, 42, 10, 16, -6, 0, -14, -28, -12, 28, 30, -8, 16, 8, 15, 10, 35, 24, -4, 2, 0, 0, -22, -2, 12, 0, -13, 10, 16, 16, 20, -14, -2, 20, -42, -36, -54, 0, 5, 40, 24, -4, -44, 8, -2, 8, -12, 24, -3, 20, -1, 0, -4, 0, -29, 44, 28, 6, 1, -8, 28, -48, 5, -8, -2, 8, -14, -56, -2, 0, -39, 10, 26, -20, -20, 20, 32, -8, 3, 8, 1, 4, 40, 0, 12, 0, 10, -8, 2, 14, -2, -16, 18, 20, -12, 6, -56, -8, 10, 62, 0, 0, -40, -30, -5, -26, -8, 8, 8, 0, -2, -60, 0, 2, 48, 100, 20, 0, -12, 26, -37, 56, -3, 4, -56, -8, 20, 10, -14, -26, -42, 8, 31, 0, 32, -26, 4, 20, 1, 62, -5, 0, 3, 2, 6, 10, -31, -80, -20, 0, 37, 48, 6, 8, 45, -38, -20, 40, -2, -100, 45, 16, 7, 4, 6, 0, -16, -24, -3, 16, 0, -48, -36, 8, 1, 2, 3, 20, -16, -8, -21, 0, 8, -20, -27, -2, 24, -16, 1, -56, -54, 32, -75, -6, -6, 60, 36, 0, 21, 0, -8, 4, 20, 10, 8, 8, 0, 16, 14, 8, 23, -8, -1, 0, 10, -6, -40, 44, 12, 48, -24, -8, 3, 6, 10, 20, 8, 2, 0, 0, -3, 68, 33, -8, -3, 28, 5, 32, 10, -4, 8, -6, 20, 10, 15, 0, -34, 40, -2, 4, 56, 6, 3, 4, 2, -6, 8, 0, 10, 20, 10, 0, -16, 4, -50, -20, -1, -8, 3, 40, 26, 38, -3, 24, -60, 20, -33, 0, 4, 20, -50, -30, -28, -6, 8, 48, 0, 16, -10, 0, -18, -30, 4, 0, -8, 20, 15, 26, 2, -24, 40, -32, 14, 12, 54, 4, -13, 56, 7, 0, -5, -28, -38, -10, -28, 0, -30, -8, -4, 32, -10, 4, 6, 2, 15, 0, -24, 70, -13, 2, -47, -20, 31, 16, 20, -40, 6, -56, 1, 62, 6, 0, 50, 6, 0, -10, 25, -4, 28, 16, 34, -20, -48, 4, 32, -20, -20, 0, -13, -6, 1, 40, 27, 4, -60, 0, 4, -52, 10, -2, -15, -32, -28, 0, 10, 16, 30, -20, 5, 120, 36, 28, -6, 2, -18, -36, 8, -74, 4, 0, -15, 4, -21, -20, -3, 42, 2, 8, 8, -36, 68, 10, 0, -16, -14, 0, -24, 28, 8, 4, -4, -80, 30, 4, -45, -56, 5, -40, 10, 24, -16, 0, 1, -28, 6, 6, 17, 46, -1, 16, -34, 0, -24, 28, 5, 8, 9, 0, -3, 36, -7, -64, 44, 20, -28, 40, -18, 76, 2, 10, 32, -22, 20, 0, -28, -4, 15, 62, 4, -60, 0, 8, 11, -2, 12, -12, 16, 20, 22, 0, 0, -8, 28, 4, -10, -2, 22, 32, 10, 6, -24, -12, -4, 40, 10, 0, 24, -6, -4, 0, 12, 8, 28, 16, -28, -48, -64, -6, -3, -46, 5, 0, 36, -20, 47, -16, 10, 60, 2, -4, -20, -100, 4, -2, -60, 4, 32, 0, 0, 30, -6, 12, -40, 42, -4, 80, 3, 14, -10, 16, -8, 88, -25, 0, 44, -4, 3, 0, 12, -8, 37, 16, 31, 8, -15, 2, -10, 0, -15, 0, -6, -26, 5, -24, 4, 140, -32, 16, 0, -56, -30, -20, 8, 2, -32, 0, 50, 32, 13, 6, 20, -40, 13, -16, 25, 56, 0, -10, 2, -12, 51, 0, -36, 36, 5, -40, 48, -26, -5, -80, 4, 24, 42, 4, -14, 20, -13, 0, 2, 20, 14, -4, 31, -24, -3, 0, 28, -80, 1, -20, 100, 10, 40, 0, -40, 38, -28, 2, -28, 4, 24, 0, 4, 8, -16, 6, -19, 12, -5, 0, 6, -26, -50, -8, 0, 16, 26, -60, 2, 4, -72, -16, -56, -10, -12, 0, 41, 16, 20, 36, -24, 32, 68, 8, 105, 20, 1, -30, -1, 20, -32, 0, -4, 0, -56, -28, -26, 32, -10, 8, 4, -2, 35, -14, -8, 80, 20, 0, -18, -28, 16, 56, 3, -6, -48, 16, 30, -120, -10, 20, 6, 94, 0, 0, -20, 4, 14, 48, 5, -38, 35, 4, -32, -8, 8, -62, -4, 8, 2, 0, -4, -12, -62, -2, 16, 54, -3, 32, -20, 44, 90, 0, 24, -26, 12, 0, 60, -76, 3, -68, 10, 20, -3, 8, 1, 84, -58, 40, 14, 24, 34, 0, -60, -8, 22, -54, 14, -20, -32, 32, 0, -36, -2, -20, 24, -6, -22, 0, 5, 22, -8, -20, 46, -2, 20, -40, 47, 4, 31, -72, 3, 40, 64, 0, -26, -40, -3, -16, -6, 0, -5, -24, 10, 38, 60, 42, -14, 10, 2, 0, 8, -20, 28, -16, -4, 12, -45, 20, -6, 28, 19, 28, 56, 24, -10, 0, 10, -60, 0, 8, -54, -32, 10, -8, -64, -30, -26, -10, -3, -70, 16, 0, 61, 8, 8, -2, -54, 0, -8, 12, -15, 44, 20, 2, -10, -24, 10, 0, -1, 26, 21, -10, -12, -32, 10, -32, 8, -40, 6, 14, -66, 4, -20, 0, 28, 84, 12, 36, 8, 108, -14, 20, 40, -10, 20, -40, 0, -48, 0, 0, 34, 88, 16, -8, -65, 4, 47, 0, 1, 24, -76, -24, 31, 6, 35, 0, 16, 2, -12, 0, -10, 8, 14, 8, 59, 58, -20, -44, -10, -56, 20, 0, 31, -2, -30, 8, -10, -56, 3, 96, -14, -10, 36, 8, -2, 4, 21, 0, -5, 28, -10, 56, 50, 4, 0, -12, -10, 78, -20, -10, -12, -52, -3, 0, 30, 40, 20, -20, 2, -64, 95, 8, 4, -6, -26, -8, -18, -2, -2, 0, -16, -80, 4, 0, -45, -24, 8, 24, -10, -20, 63, 8, 60, -4, -20, 0, -34, 4, 1, 16, 44, -36, 10, -40, -37, 24, -100, -6, 3, 112, 2, 0, 0, -20, 20, -62, 21, 0, -4, 4, 35, 80, -18, 30, 18, 10, 42, 0, -8, 16, 18, -8, 25, -16, 14, 32, -80, 4, 18, 60, -40, 0, -6, 0, 27, -96, -28, -100, -15, -40, -12, 12, 12, 24, -36, -26, -3, 74, -14, 0, 16, 6, 12, -4, 23, 112, 39, 16, -7, -40, 0, -10, -10, 28, 58, 0, 4, 84, 28, -8, 15, -62, 18, 8, -20, -64, -20, 26, 10, -8, -56, 0, 57, -2, 38, -62, -24, 10, 24, 0, -11, -6, -5, -2, -32, -12, -2, 0, -31, 62, -20, 80, -30, 40, 16, 4, -26, -74, -1, -48, 35, -12, -14, 0, 10, -90, 0, 38, 0, 40, -4, -80, -62, 4, 14, 100, -1, -90, -34, 0, 26, -14, 3, -4, -34, -12, -15, -32, 20, 32, -51, 24, 8, 6, -3, 0, 33, 0, -27, 48, 4, 72, 6, 0, -12, -2, -24, -2, -10, -6, 40, 0, -23, 32, 22, 8, -44, 42, -10, -56, -4, -16, 4, 20, 30, 54, 0, 0, -36, -48, -50, 16, -84, -2, 2, 112, 2, 108, -8, -32, 10, 150, 15, 0, 12, 12, -13, -60, 21, -72, -56, 40, -40, -42, 7, 0, -74, 16, -8, 0, 44, -40, 60, -10, -10, -16, -2, -8, 14, 0, -12, -16, -4, -28, 60, 0, -31, -46, 4, 8, 2, 2, -74, -4, 0, -20, -28, 6, -5, 80, -13, 0, -30, -24, -24, -48, 70, 48, -1, 16, 40, -6, -28, -6, -40, -20, -2, 0, 1, -16, -72, -2, -73, 0, 16, 80, -6, 6, -5, -68, -20, -66, 15, 0, 19, 6, 28, -28, 7, -10, -30, 0, -6, -20, -36, 4, -34, -16, 18, 0, 56, -40, 0, -10, -13, -30, 60, -40, -20, 68, 12, -40, -14, 4, 12, 0, 10, -112, -4, -6, -12, -6, 10, -8, -51, -4, 38, 6, -12, -16, 30, 0, 2, -20, -40, -20, 4, -20, 0, 84, 5, 32, 65, -4, 15, 100, 19, 0, -22, 2, 30, 8, 2, -6, 59, -40, -42, -52, 4, -38, 0, 6, -16, 0, 6, 120, 80, -20, 4, 66, -13, 16, 20, -8, 38, -20, 8, 100, 28, 0, -13, 56, 2, 6, -6, -16, -74, -96, -5, 0, 6, -16, -64, 20, 8, 0, -40, 36, -10, 30, 16, -8, -80, 4, 60, 16, 10, -20, -4, -30, -105, 0, 10, -4, 3, 24, 120, -80, 0, 0, 62, -28, -60, -12, 16, -108, -10, 0, 4, 26, -1, -56, -70, -14, -12, 72, 40, 10, 8, 28, -1, 76, -14, 0, -4, 56, -48, 0, -3, 60, -90, 16, -31, 8, -60, -32, -30, 20, -31, 0, 47, -12, -12, -2, -20, -30, 2, -48, 15, 48, -84, -70, -19, 26, -20, 0, 0, 94, -4, 20, -2, -62, -9, -16, 4, -40, -33, 40, 30, -12, -6, 0, -3, -2, 2, -62, 27, -12, -50, 16, 14, -100, 22, -6, -16, 0, -7, 0, -13, -50, -58, 4, -55, -56, -38, -32, -6, -68, -2, 20, 10, 96, -120, 0, 68, -64, 42, 20, -5, 40, 60, -20, 12, 26, 0, 6, 61, -2, -4, 0, -36, -54, -28, -4, -10, 120, -12, 16, 13, -8, -18, 52, 26, -20, 18, 0, -3, 30, -31, 32, 0, 56, 11, 0, -15, -20, 6, -16, -1, -60, -8, 0, -72, -10, 2, -120, -12, -72, 40, -56, 20, 12, -20, -2, 22, 36, -20, 0, -24, -16, -7, 74, 0, -8, 36, -12, 12, 30, 19, -4, -69, 42, -20, 0, 5, 6, 48, -42, 50, -4, -10, -8, 10, -16, 41, 36, 6, -136, -2, 0, 17, 0, 14, 16, 10, 28, 26, -16, 12, 48, -10, -28, 73, -16, -30, 0, 64, 8, 24, 80, -16, -60, -59, -8, -19, 90, -15, 56, -1, -10, 0, 0, -35, -20, 41, -24, 40, 32, 4, -52, 44, -2, -100, 28, 0, -12, -54, 0, 10, -34, 22, -46, -4, 2, 20, 0, -12, 68, 8, 0, 46, 48, 13, 0, -18, -10, -20, -8, -16, -18, 18, -16, -8, 6, -20, -36, 65, 14, -30, 0, 2, -88, 52, -20, -6, 56, 42, -80, 0, 36, 87, -76, 54, -4, 6, 0, 52, -64, -5, 22, -48, -40, -12, -4, -24, 56, 3, 4, -8, -30, 44, 0, 42, -8, 48, 60, 2, 0, 4, -8, -140, -22, 12, 2, 140, -24, -11, 0, 3, -32, 12, -20, 16, -44, 1, 76, 36, 0, -24, 8, 4, -56, 65, 0, 71, 20, 29, 2, -3, -44, -30, -64, -28, -20, -63, -6, 16, 48, -1, 0, 100, 8, -25, -40, -28, -20, 66, 48, -34, -48, -5, 6, 19, 8, 25, 0, 2, -24, -14, -8, -20, -56, 14, -32, -21, 56, -25, 48, 2, 128, 52, 0, 56, 6, 39, 46, -4, -10, -5, 16, -26, -72, 24, 20, 0, -94, 20, 0, -20, -20, -14, -60, -32, -4, -33, 8, 46, 40, -3, 100, -36, -8, 6, 0, -1, 120, 36, -4, 3, -64, -40, -64, 41, 0, -62, -30, -12, 12, -10, 0, -10, 80, -10, -42, 62, 8, -140, -80, -2, -6, -4, -14, -40, 20, 2, 0, -57, 16, 4, -88, -18, 50, 0, -20, -24, -88, 12, 4, -19, -6, -8, 0, 56, -24, -50, 8, -68, -74, -10, -32, 33, -62, 17, -8, 0, 30, -66, 0, -10, 20, 40, 0, -76, 30, -58, 12, 5, 12, 3, 26, 74, -10, 8, 0, -54, -8, 53, -140, -8, 64, -82, 0, 58, 0, 2, 56, -18, 60, 15, 0, 0, -16, -42, -2, -7, 64, -48, -4, -10, -100, -8, -32, -20, -26, -44, 0, 31, -40, 12, 40, -10, -26, -4, 32, 37, -50, -72, -56, -6, 0, 3, 0, -17, -4, 34, 12, 56, -102, -28, 8, -16, 72, -20, -36, -11, -10, -3, 0, 14, -96, -120, 26, 71, 10, 42, 80, 35, -8, 0, -24, -31, -84, 15, 0, -110, 28, -32, -20, -16, 26, 46, -12, -4, -4, 64, -20, -40, -28, -1, 0, 14, -62, 28, 24, 5, 6, -28, 0, -35, -56, -3, 80, 45, -2, 17, 0, -6, -200, 10, -10, 0, -80, 31, -8, -15, 80, -65, -38, 20, 56, -10, 0, 91, 56, -37, -4, 0, -48, -31, -80, -6, -8, -60, -8, -2, 32, -45, 0, -3, 38, 15, -12, 20, 10, -8, -40, 34, -12, 2, 26, -42, 100, -12, 0, -45, 0, 10, -16, 10, -52, -7, 120, -10, -4, -6, -4, -6, 144, 10, 0, -103, 112, 16, 10, 57, 24, 14, -32, 3, -82, 56, -16, -26, -40, 0, 0, 4, 48, -2, -32, 36, -136, 77, -8, 120, -210, -1, -20, 26, -2, -1, 0, -3, 2, 30, -20, 50, 64, 16, 48, -28, 8, 13, 0, 21, 112, 24, 0, -8, 52, -8, -32, -24, 20, -40, -16, 27, -8, -60, 2, 85, -70, -24, 0, 40, 16, -8, -80, -1, -40, -13, 56, 0, 36, 54, 28, 0, -32, 37, 0, 75, -6, 91, 6, 12, 96, 6, 0, -2, -60, -44, 120, -36, 20, -28, 0, 82, -12, -21, -94, 47, 0, 0, -4, 8, 40, 79, -4, 18, -28, -20, 0, 33, -10, -47, 38, -8, -70, 8, -8, 13, 64, 0, 8, -65, -16, 38, 0, -14, 8, 0, -8, -42, -4, -23, 80, -70, 8, 40, 12, 1, 124, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6045.2.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], [-2], [-1], [2], [1], [2], [2], [0], [1], [-2], [-5], [-2], [-1], [-4], [-1], [-4], [4], [-2], [-2], [2], [-2], [10], [-2], [0], [1], [2], [-1], [4], [0], [2], [1], [8], [5], [-8], [2], [2], [1], [4], [1], [0], [10], [4], [-10], [-10], [1], [4], [4], [4], [-3], [-2], [-4], [-2], [12], [2], [-5], [0], [2], [0], [-10], [-2], [14], [-2], [2], [-8], [-1], [-10], [-12], [8], [2], [-4], [-4], [0], [-7], [-2], [-1], [-4], [-10], [-2], [-8], [-4], [1], [-20], [-4], [-4], [4], [20], [0], [0], [15], [-2], [-2], [-4], [-1], [-8], [-2], [-8], [10], [6], [-5], [2]]}