# Stored data for newform 4650.2.a.bm, downloaded from the LMFDB on 28 March 2024. {"label": "4650.2.a.bm", "space_label": "4650.2.a", "level": 4650, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873637930, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 761552110954826718, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [2, 1]], [11, [2, 1]], [13, [-2, 1]], [19, [8, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 18600, "fricke_eigenval": 1, "atkin_lehner_string": "----", "analytic_conductor": 37.130436939895375, "hecke_ring_index": 1, "level_radical": 930, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [4650, 1, [3101, 2977, 1801], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 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": "1.019", "prec": 17}, {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "2.059", "prec": 17}, {"__RealLiteral__": 0, "data": "0.124", "prec": 17}, {"__RealLiteral__": 0, "data": "5.183", "prec": 17}], "related_objects": ["EllipticCurve/Q/4650/bm"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [31, -1]], "trace_display": [1, 1, 0, -2], "traces": [0, 1, 1, 1, 1, 0, 1, -2, 1, 1, 0, -2, 1, 2, -2, 0, 1, -6, 1, -8, 0, -2, -2, 0, 1, 0, 2, 1, -2, 4, 0, 1, 1, -2, -6, 0, 1, -10, -8, 2, 0, -6, -2, 4, -2, 0, 0, 0, 1, -3, 0, -6, 2, 2, 1, 0, -2, -8, 4, -14, 0, -2, 1, -2, 1, 0, -2, 8, -6, 0, 0, 12, 1, 0, -10, 0, -8, 4, 2, -16, 0, 1, -6, -12, -2, 0, 4, 4, -2, 6, 0, -4, 0, 1, 0, 0, 1, 0, -3, -2, 0, -16, -6, 14, 2, 0, 2, -4, 1, 10, 0, -10, -2, -14, -8, 0, 4, 2, -14, 12, 0, -7, -2, -6, 1, 0, -2, 2, 1, 4, 0, 6, -2, 16, 8, 0, -6, -10, 0, 16, 0, 0, 12, -4, 1, 0, 0, -3, -10, 4, 0, 0, -8, -6, 4, 0, 2, 10, -16, 2, 0, 0, 1, 16, -6, 0, -12, 24, -2, -9, 0, -8, 4, -18, 4, 0, -2, -14, 6, 14, 0, -10, -4, -2, 0, 0, 1, 12, 0, -2, 0, -4, 1, -4, 0, 0, -3, 26, -2, -8, 0, 8, -16, -8, -6, 0, 14, 0, 2, 16, 0, -4, 2, 12, -4, 0, 1, -2, 10, 0, 0, -12, -10, -14, -2, 0, -14, 12, -8, -22, 0, 4, 4, -10, 2, 0, -14, -16, 12, 12, 0, -18, -7, 1, -2, 0, -6, -16, 1, -12, 0, -22, -2, 0, 2, 0, 1, -22, 4, 20, 0, 4, 6, 16, -2, 0, 16, 6, 8, -28, 0, 8, -6, -4, -10, 0, 0, -2, 16, 1, 0, 6, 0, -16, 12, 0, -4, 12, 1, 19, 0, 0, 0, 10, -3, 0, -10, -2, 4, 0, 0, -8, 0, -16, -8, 0, -6, 4, 4, 14, 0, -20, 2, 0, 10, 0, -16, -2, 2, -8, 0, -4, 0, 48, 1, 0, 16, 10, -6, 0, 0, 12, -12, -10, 24, 0, -2, 32, -9, -14, 0, -2, -8, 20, 4, 0, -18, 12, 4, -14, 0, 2, -2, 2, -14, 0, 6, 12, 14, 0, 0, 45, -10, -7, -4, 0, -2, 18, 0, -6, 0, -4, 1, 34, 12, 0, 0, 8, -2, -20, 0, 2, -4, -12, 1, 0, -4, 4, 0, -16, 0, 0, -3, 6, 26, 0, -2, 30, -8, 16, 0, -10, 8, 2, -16, 0, -8, 20, -6, 38, 0, -10, 14, 28, 0, 0, 2, 16, 16, -18, 0, -2, -4, 0, 2, 0, 12, 4, -4, -4, 0, 16, 1, 16, -2, 0, 10, 0, 0, 8, 0, -3, -12, -20, -10, 0, -14, 4, -2, -18, 0, 12, -14, 0, 12, 0, -8, 20, -22, -6, 0, 0, 4, 6, 4, 0, -10, -4, 2, -16, 0, 10, -14, -8, -16, 0, 12, 2, 12, -12, 0, -20, -18, 0, -7, 0, 1, -42, -2, 16, 0, 18, -6, -24, -16, 0, 1, -24, -12, -36, 0, 24, -22, 40, -2, 0, 0, -9, 2, -20, 0, 0, 1, -8, -22, 0, 4, 0, 20, -18, 0, -18, 4, 8, 6, 0, 16, -6, -2, -23, 0, -14, 16, -12, 6, 0, 8, 14, -28, 6, 0, 42, 8, -10, -6, 0, -4, 28, -10, -2, 0, -32, 0, 32, -2, 0, 16, -14, 1, 8, 0, 12, 6, 4, 0, 0, -16, -2, 12, -18, 0, -28, -4, -4, 12, 0, 1, 16, 19, -4, 0, 24, 0, -4, 0, 0, 10, 36, -3, -8, 0, 26, -10, -22, -2, 0, 4, -8, 0, 48, 0, 42, -8, 8, 0, 0, -16, -14, -8, -8, 0, 0, -6, 22, 4, 0, 4, -18, 14, -8, 0, 0, -20, -12, 2, 0, 0, 16, 10, 60, 0, -8, -16, -4, -2, 0, 2, -6, -8, 12, 0, -14, -4, 16, 0, 0, 48, -28, 1, 28, 0, -2, 16, 6, 10, 0, -6, 0, 0, 6, 0, -14, 12, -12, -12, 0, -10, 0, 24, -14, 0, 4, -2, -16, 32, 0, -9, -42, -14, 0, 0, 12, -2, -36, -8, 0, 20, -22, 4, 4, 0, 24, -18, 4, 12, 0, 4, 36, -14, -10, 0, -16, 2, 80, -2, 0, 2, 32, -14, 10, 0, -16, 6, 0, 12, 0, 14, 12, 0, -24, 0, -28, 45, -18, -10, 0, -7, 10, -4, 1, 0, -24, -2, -2, 18, 0, 0, -16, -6, -20, 0, -16, -4, -28, 1, 0, 34, -12, 12, 8, 0, 0, 0, -22, 8, 0, -2, -50, -20, 0, 0, 30, 2, -20, -4, 0, -12, -28, 1, 34, 0, -22, -4, 6, 4, 0, 0, 20, -16, 48, 0, -24, 0, 4, -3, 0, 6, 40, 26, 16, 0, 28, -2, -4, 30, 0, -8, -2, 16, 0, 0, 6, -10, 0, 8, 0, 2, -28, -16, -38, 0, 28, -8, 8, 20, 0, -6, -32, 38, -4, 0, -20, -10, -2, 14, 0, 28, 20, 0, -10, 0, -2, 2, 18, 16, 0, 16, 1, -18, -24, 0, -13, -2, 6, -4, 0, 0, 14, 2, -16, 0, 0, 12, 6, 4, 0, -4, -2, -4, -48, 0, 12, 16, 32, 1, 0, 16, 19, -2, 32, 0, 16, 10, 0, 0, 0, 0, -6, 8, 10, 0, 6, -3, -16, -12, 0, -20, -4, -10, -4, 0, -2, -14, 0, 4, 0, -2, 0, -18, 4, 0, -12, 12, -8, -14, 0, 0, 52, 12, -16, 0, 0, -8, 24, 20, 0, -22, -12, -6, -8, 0, 4, 0, 24, 4, 0, 6, 14, 4, -26, 0, 24, -10, -20, -4, 0, 2, -48, -16, 0, 0, 0, 10, 0, -14, 0, -8, 20, -16, 0, 0, -2, 12, -58, 2, 0, 12, -8, -12, 20, 0, 1, -20, -4, -18, 0, 0, 10, -7, 48, 0, -34, 1, -32, -42, 0, -2, 22, 16, -12, 0, 10, 18, -4, -6, 0, -24, 0, -16, 0, 0, 0, 1, 12, -24, 0, -12, 42, -36, -10, 0, 8, 24, 84, -22, 0, 40, -16, -2, 62, 0, 32, 0, 6, -9, 0, 2, -14, -20, 54, 0, 34, 0, -2, 1, 0, -8, -32, -22, 20, 0, -32, 4, 4, 0, 0, 20, 12, -18, 56, 0, 12, -18, -8, 4, 0, 8, -14, 6, 46, 0, 20, 16, 2, -6, 0, -2, 0, -23, 2, 0, 60, -14, -38, 16, 0, -12, 0, 6, 42, 0, 12, 8, -40, 14, 0, -28, 0, 6, -24, 0, 0, 42, 45, 8, 0, -10, -54, -6, -7, 0, -38, -4, -42, 28, 0, -10, -58, -2, -20, 0, 18, -32, 0, 0, 0, 32, -6, -2, 0, 0, 32, 16, -4, -14, 0, 1, 18, 8, 34, 0, 112, 12, 16, 6, 0, 4, 0, 0, 58, 0, 8, -16, -28, -2, 0, 12, -20, -18, -48, 0, -32, -28, 2, -4, 0, -4, -10, 12, -12, 0, -60, 1, -8, 16, 0, 19, 12, -4, 16, 0, 4, 24, -36, 0, 0, -4, -16, 0, -48, 0, -48, 10, 0, 36, 0, -3, 8, -8, 6, 0, 0, 26, 18, -10, 0, -22, 12, -2, -24, 0, 30, 4, 38, -8, 0, 0, 16, 48, -20, 0, -34, 42, -10, -8, 0, 8, -72, 0, 2, 0, 36, -16, -54, -14, 0, -8, 18, -8, 0, 0, 20, 0, 24, -6, 0, 22, 38, 4, -28, 0, 8, 4, -10, -18, 0, 14, -22, -8, 28, 0, 0, 0, 28, -20, 0, -12, 16, 2, 46, 0, 16, 0, -28, 16, 0, 10, -18, 60, 66, 0, 0, -8, -2, -16, 0, -4, 20, -2, 0, 0, -6, 2, -64, -6, 0, -8, 2, 12, 24, 0, 4, -14, 20, -4, 0, 16, -4, 0, 30, 0, 40, 48, 16, -28, 0, 1, 24, 28, 16, 0, -24, -2, 54, 16, 0, 6, -60, 10, -24, 0, 0, -6, -32, 0, 0, 0, 8, 6, -60, 0, 54, -14, -3, 12, 0, -12, -26, -12, -20, 0, 36, -10, 4, 0, 0, 24, 8, -14, 28, 0, 4, 4, 96, -2, 0, -16, -18, 32, -96, 0, 8, -9, 12, -42, 0, -14, 0, 0, 0, 0, 6, 12, 0, -2, 0, -36, 12, -8, 63, 0, 20, 20, -30, -22, 0, 4, -6, 4, -52, 0, -38, 24, 0, -18, 0, 4, 0, 12, 6, 0, -8, 4, 16, 36, 0, -14, -4, -10, 56, 0, -4, -16, 0, 2, 0, 80, -16, -2, -46, 0, 72, 2, 10, 32, 0, -14, 20, 10, -8, 0, -12, -16, 34, 6, 0, 0, -28, 12, -6, 0, 2, 14, 18, 12, 0, 0, -12, -24, -24, 0, -12, -28, -20, 45, 0, -18, -26, -10, 0, 0, 18, -7, -30, 10, 0, -4, 0, 1, -52, 0, -42, -24, -32, -2, 0, -2, 16, 18, -28, 0, -24, 0, 18, -16, 0, -6, 8, -20, -24, 0, -18, -16, -16, -4, 0, -28, 0, 1, -18, 0, -24, 34, -46, -12, 0, 12, -36, 8, -42, 0, 128, 0, 24, 0, 0, -22, 20, 8, 40, 0, -28, -2, -36, -50, 0, -20, 60, 0, -3, 0, -9, 30, -68, 2, 0, -20, -20, -4, -32, 0, -20, -12, 0, -28, 0, 1, 8, 34, -8, 0, 0, -22, -50, -4, 0, 6, 24, 4, 38, 0, 0, 0, 66, 20, 0, -16, -18, 48, -20, 0, 28, -24, -18, 0, 0, 4, 66, -3, 8, 0, 38, 6, -14, 40, 0, 26, 96, 16, -60, 0, -6, 28, -44, -2, 0, -4, -23, 30, -24, 0, -40, -8, -14, -2, 0, 16, -2, 0, -12, 0, 50, 6, 44, -10, 0, 0, -72, 8, 38, 0, 14, 2, -78, -28, 0, -16, 6, -38, 30, 0, -38, 28, 42, -8, 0, 8, -16, 20, -10, 0, 20, -6, 0, -32, 0, 38, -54, -4, -8, 0, 28, -20, 2, -10, 0, -2, -2, 14, 0, 0, 4, 28, -32, 20, 0, 0, -52, -10, 32, 0, 0, -2, 14, 2, 0, 18, -20, 16, -6, 0, -14, 16, -24, 1, 0, -18, 8, -24, 0, 0, -5, -13, 12, -2, 0, 6, 36, -4, 4, 0, -48, 0, -74, 14, 0, 2, -34, -16, -24, 0, -2, 0, 12, 12, 0, 6, -18, 4, 44, 0, -56, -4, -28, -2, 0, -4, 96, -48, -4, 0, -70, 12, 0, 16, 0, 32, -20, 1, 32, 0, 16, 16, 78, 19, 0, -2, -4, 32, 0, 0, -42, 16, 24, 10, 0, 0, 20, 0, -4, 0, -84, 0, -48, -6, 0, 8, 44, 10, 40, 0, 36, 6, -24, -3, 0, -16, -8, -12, -8, 0, 0, -20, 26, -4, 0, -10, 20, -4, -22, 0, -20, -2, 70, -14, 0, 0, 60, 4, -26, 0, -8, -2, -32, 0, 0, -18, 48, 4, 44, 0, -58, -12, 42, 12, 0, -8, 32, -14, 8, 0, 50, 0, 30, 52, 0, 12, 0, -16, 24, 0, -14, 0, 20, -8, 0, 24, -8, 20, -14, 0, 64, -22, 0, -12, 0, -6, -48, -8, 22, 0, -32, 4, 0, 0, 0, 24, -72, 4, -27, 0, -18, 6, -60, 14, 0, 4, -8, -26, 18, 0, 6, 24, 0, -10, 0, -20, -52, -4, -12, 0, -4, 2, -44, -48, 0, -16, 6, 0, 0, 0, 16, 0, 56, 10, 0, 0, 60, -14, -54, 0, -2, -8, -8, 20, 0, -16, -16, 0, -4, 0, -60, -2, 36, 12, 0, -58, 36, 2, 0, 0, -6, 12, 26, -8, 0, -12, 12, 20, 128, 0, 84, 1, -14, -20, 0, -4, 0, -18, 16, 0, 42, 0, -10, 10, 0, -7, 8, 48, 4, 0, -28, -34, 32, 1, 0, -32, 28, -42, -24, 0, -40, -2, -2, 22, 0, 16, -112, -12, 6, 0, -20, 10, 0, 18, 0, -4, -12, -6, -28, 0, 0, -24, 6, 0, 0, -16, 6, 0, 6, 0, 32, 0, -14, 1, 0, 12, 36, -24, -12, 0, 20, -12, 20, 42, 0, -36, -66, -10, -40, 0, 0, 8, 36, 24, 0, 84, -14, -22, 18, 0, 4, 40, 4, -16, 0, -2, -72, 62, -16, 0, 0, 32, -38, 0, 0, 6, 12, -9, -42, 0, -42, 2, 32, -14, 0, -20, 0, 54, -76, 0, 20, 34, 12, 0, 0, -2, 0, 1, -36, 0, -20, -8, -30, -32, 0, -22, 42, 20, 48, 0, -22, -32, -56, 4, 0, 4, 4, 0, -52, 0, -80, 20, 24, 12, 0, -18, 8, 56, 4, 0, -66, 12, -4, -18, 0, -8, -40, 4, -26, 0, 36, 8, 0, -14, 0, 6, -10, 46, 78, 0, 8, 20, -16, 16, 0, 2, -12, -6, 80, 0, -12, -2, -20, 0, 0, -23, 0, 2, 32, 0, 32, 60, 8, -14, 0, -38, 10, 16, -22, 0, 20, -12, -16, 0, 0, 6, 80, 42, 0, 0, -64, 12, 50, 8, 0, -40, 112, 14, -8, 0, 12, -28, 78, 0, 0, 6, -24, -24, -12, 0, -82, 0, -28, 42, 0, 45, -52, 8, -18, 0, 48, -10, -12, -54, 0, -6, 40, -7, 20, 0, 10, -38, 140, -4, 0, -42, 1, 28, 16, 0, 0, -10, -24, -58, 0, -2, -44, -20, -2, 0, 12, 18, -68, -32, 0, 0, 20, 0, -47, 0, -16, 32, 6, -6, 0, -2, -20, 0, 4, 0, -58, 32, -16, 16, 0, -4, -36, -14, -28, 0, 0, 1, 16, 18, 0, 8, 2, 34, -64, 0, -12, 112, 84, 12, 0, 16, 8, 6, -36, 0, 60, 4, 0, 0, 0, 0, 20, 58, -22, 0, -96, 8, 0, -16, 0, -28, -4, -2, 58, 0, -50, 12, -26, -20, 0, -18, 0, -48, 8, 0, -70, -32, 30, -28, 0, 2, 2, -4, -20, 0, -64, -4, -14, -10, 0, 12, -38, -12, 56, 0, -28, -60, 0, 1, 0, -8, 34, 16, 28, 0, 56, 19, -22, 12, 0, -4, -24, 16, 6, 0, 8, 4, 0, 24, 0, -36, 28, 0, 60, 0, 20, -4, -62, -16, 0, 0, 48, -48, 42, 0, 62, -48, -24, 10, 0, 0, -4, 36, 4, 0, -28, -3, -20, 8, 0, -8, -58, 6, -64, 0, 40, 0, -96, 26, 0, 18, 16, -10, 0, 0, -40, -22, 28, 12, 0, -2, 52, -24, -4, 0, 32, 30, -46, 4, 0, 38, 4, -8, -14, 0, -2, 0, -14, 16, 0, 48, 0, -20, 48, 0, -19, -34, 6, 42, 0, -10, -48, -8, 0, 0, -42, 8, -16, -72, 0, 0, 6, 2, 84, 0, -28, 36, -76, -16, 0, -54, -38, -14, -24, 0, 24, -8, 28, 18, 0, -8, -70, 0, 8, 0, -30, 20, 28, 0, 0, 24, -36, -6, -16, 0, -32, 22, 28, 38, 0, 4, -4, -28, 74, 0, 0, 8, -20, 4, 0, -10, 72, -18, -2, 0, -4, 14, -44, -22, 0, -8, -46, 28, -80, 0, 20, 0, -8, 0, 0, 28, -10, -20, -48, 0, 0, -12, -2, 16, 0, 2, -24, 46, 18, 0, 12, 16, -38, 0, 0, -28, 0, 16, -8, 0, 1, 10, 0, -18, 0, 60, -24, 66, 44, 0, 10, 0, -13, -8, 0, -2, -90, -16, 6, 0, 58, -4, -24, 20, 0, -2, -56, 0, -4, 0, 14, -6, 72, 2, 0, -64, -16, -6, 8, 0, -32, -8, 0, 2, 0, 12, -58, 24, 6, 0, 52, 4, 20, -14, 0, 20, 0, -4, -36, 0, -2, 16, -12, -4, 0, 0, -48, 30, -74, 0, 24, 40, 12, 48, 0, 16, -16, -28, 32, 0, -24, 1, 56, 24, 0, 28, -6, 16, 0, 0, 19, -24, 80, -2, 0, 54, 32, 16, 46, 0, -68, 6, 16, -60, 0, 10, -12, -24, 0, 0, -48, 0, -8, -6, 0, -32, -120, 0, -24, 0, -6, 0, -18, 8, 0, 6, 10, -60, -16, 0, -128, 54, 6, -14, 0, -3, -62, 12, -16, 0, 36, -12, 40, -26, 0, -12, 18, -20, 32, 0, -4, 36, 68, -10, 0, 4, -4, 0, -60, 0, -32, 24, -2, 8, 0, -14, -50, 28, 0, 0, 24, 4, -76, 4, 0, 96, -72, -2, -46, 0, 0, -16, 10, -18, 0, 32, 4, -96, 58, 0, 0, 8, -12, -9, 0, 12, 72, -42, -8, 0, 40, -14, 32, 0, 0, 0, 32, 0, -72, 0, 52, 6, 32, 12, 0, 0, -16, -2, -46, 0, -28, -36, 0, 12, 0, -8, 0, 63, 24, 0, -88, 20, -8, 20, 0, -30, -48, -22, -14, 0, -12, 4, 42, -6, 0, 4, -8, -52, 6, 0, 44, -38, 4, 24, 0, 0, 38, -18, 24, 0, -96, 4, 0, 0, 0, 12, -14, 6, -60, 0, 14, -8, 0, 4, 0, 16, -26, 36, 60, 0, 80, -14, 24, -4, 0, -10, 94, 56, -20, 0, -50, -4, -56, -16, 0, 0, 20, 2, -49, 0, -48, 80, 0, -16, 0, -2, 0, -46, -54, 0, -4, 72, 0, 2, 0, 10, 44, 32, 0, 0, -32, -14, -12, 20, 0, 10, 66, -8, -144, 0, 20, -12, -12, -16, 0, 34, 0, 6, -40, 0, 60, 0, -2, -28, 0, 12, 4, -6, -58, 0, 16, 2, -76, 14, 0, 18, 0, 12, 0, 0, -8, 0, 54, -12, 0, -24, 20, -24, 8, 0, 32, -12, 1, -28, 0, -20, 14, 45, -4, 0, 42, -18, -32, -26, 0, -10, -22, 0, -28, 0, 10, 18, 44, -7, 0, -30, 48, 10, 8, 0, -72, -4, -34, 0, 0, 1, 42, -52, -32, 0, 0, -42, 160, -24, 0, -32, -68, -2, -64, 0, 22, -2, 36, 16, 0, 18, -12, -28, 38, 0, 108, -24, 10, 0, 0, 18, 4, -16, -4, 0, 24, -6, 76, 8, 0, -20, -46, -24, 56, 0, 0, -18, -12, -16, 0, -16, 0, -4, 10, 0, -44, -28, 0, 0, 0, 1, -44, -18, 12, 0, -16, -24, -80, 34, 0, -46, 56, -12, 6, 0, 42, 12, 0, -36, 0, 8, -10, -42, -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": "930.2.d.f", "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], [0], [1], [-2], [1], [1], [0], [-2], [1], [2], [-2], [0], [1], [-6], [1], [-8], [0], [-2], [-2], [0], [1], [0], [2], [1], [-2], [4], [0], [1], [1], [-2], [-6], [0], [1], [-10], [-8], [2], [0], [-6], [-2], [4], [-2], [0], [0], [0], [1], [-3], [0], [-6], [2], [2], [1], [0], [-2], [-8], [4], [-14], [0], [-2], [1], [-2], [1], [0], [-2], [8], [-6], [0], [0], [12], [1], [0], [-10], [0], [-8], [4], [2], [-16], [0], [1], [-6], [-12], [-2], [0], [4], [4], [-2], [6], [0], [-4], [0], [1], [0], [0], [1], [0], [-3], [-2], [0]]}