# Stored data for newform 4650.2.a.ba, downloaded from the LMFDB on 19 April 2024.
{"label": "4650.2.a.ba", "space_label": "4650.2.a", "level": 4650, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345191978, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1943412319259319279, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [1, 1]], [11, [1, 1]], [13, [-1, 1]], [19, [0, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}-q^{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": "0.010", "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": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.986", "prec": 17}], "related_objects": ["EllipticCurve/Q/4650/ba"], "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, -1], "traces": [0, 1, 1, -1, 1, 0, -1, -1, 1, 1, 0, -1, -1, 1, -1, 0, 1, -6, 1, 0, 0, 1, -1, 0, -1, 0, 1, -1, -1, 6, 0, 1, 1, 1, -6, 0, 1, 5, 0, -1, 0, -1, 1, -11, -1, 0, 0, 5, -1, -6, 0, 6, 1, -9, -1, 0, -1, 0, 6, -4, 0, -15, 1, -1, 1, 0, 1, 2, -6, 0, 0, 11, 1, -16, 5, 0, 0, 1, -1, -2, 0, 1, -1, -5, 1, 0, -11, -6, -1, -6, 0, -1, 0, -1, 5, 0, -1, -2, -6, -1, 0, 14, 6, 3, 1, 0, -9, -6, -1, -2, 0, -5, -1, -14, 0, 0, 6, 1, -4, 6, 0, -10, -15, 1, 1, 0, -1, 6, 1, 11, 0, 4, 1, 0, 2, 0, -6, 6, 0, 9, 0, -5, 11, -1, 1, 0, -16, 6, 5, 4, 0, 10, 0, -6, 1, 0, -1, 6, -2, 9, 0, 0, 1, -24, -1, 0, -5, -14, 1, -12, 0, 0, -11, -16, -6, 0, -1, 4, -6, 1, 0, -11, -1, 15, 0, 0, -1, 6, 5, 1, 0, 0, -1, 1, -2, 0, -6, 3, -1, 20, 0, -2, 14, -6, 6, 0, 3, 0, 1, 0, 0, 2, -9, -11, -6, 0, -1, -1, -2, 16, 0, -6, -5, -2, -1, 0, -14, -16, 0, -26, 0, -1, 6, 1, 1, 0, -4, 2, 6, -20, 0, -4, -10, -1, -15, 0, 1, 0, 1, 5, 0, -25, -1, 0, 6, 0, 1, -15, 11, -5, 0, 6, 4, 2, 1, 0, 0, 6, 2, 18, 0, -12, -6, 1, 6, 0, 0, 14, 9, 1, 0, 15, -5, -20, 11, 0, -1, 1, 1, 19, 0, 2, -16, -16, 6, 0, 5, 1, 4, 0, 0, 11, 10, -14, 0, 0, -6, -2, 1, -3, 0, 15, -1, -28, 6, 0, -2, -6, 9, -6, 0, 6, 0, 0, 1, 0, -24, 2, -1, -5, 0, -9, -5, 5, -14, 0, 1, -16, -12, 14, 0, -1, 0, 13, -11, 0, -16, 27, -6, 28, 0, -1, -1, 24, 4, 0, -6, -6, 1, -24, 0, -19, -11, 10, -1, 0, 15, -8, 0, -1, 0, 9, -1, 24, 6, 0, 5, 6, 1, 20, 0, -6, 0, 24, -1, 0, 1, -11, -2, 14, 0, 0, -6, -4, 3, 0, -1, -12, 20, 0, 0, 12, -2, 1, 14, 0, -6, -5, 6, -18, 0, -6, 3, 4, 0, 0, 1, -9, 0, 30, 0, -12, 2, 5, -9, 0, -11, 15, -6, 1, 0, 19, -1, -28, -1, 0, -2, 0, 16, 0, 0, -6, -6, 24, -5, 0, -2, -4, -1, 12, 0, 1, -14, -10, -16, 0, 0, 16, -26, 6, 0, 3, -1, 6, 6, 0, 1, -22, 1, -2, 0, -6, -4, 11, 2, 0, 6, -9, -20, 40, 0, 5, -4, 0, -10, 0, -1, 32, -15, 24, 0, 12, 1, -36, 0, 0, 1, -11, 5, -20, 0, 14, -25, -7, -1, 0, 0, 12, 6, -1, 0, 16, 1, 0, -15, 0, 11, -5, -5, 16, 0, 15, 6, 20, 4, 0, 2, -6, 1, -23, 0, -4, 0, -1, 6, 0, 2, -1, 18, 6, 0, 0, -12, 11, -6, 0, 1, -6, 6, -15, 0, 0, 0, 2, 14, 0, 9, 42, 1, -11, 0, -6, 15, 30, -5, 0, -20, -1, 11, -42, 0, 43, -1, 0, 1, 0, 1, 18, 19, -1, 0, 5, 2, 9, -16, 0, -16, -27, 6, 0, 0, -3, 5, 7, 1, 0, 4, -20, 0, 21, 0, 32, 11, 2, 10, 0, -14, 31, 0, 6, 0, 5, -6, -30, -2, 0, 1, 3, -3, 1, 0, 0, 15, 6, -1, 0, -28, 0, 6, -30, 0, 14, -2, -2, -6, 0, 9, -6, -6, 11, 0, -14, 6, -29, 0, 0, 0, 18, 1, 4, 0, 1, -24, -24, 2, 0, -1, -16, -5, 20, 0, -22, -9, 6, -5, 0, 5, 0, -14, 2, 0, 15, 1, -14, -16, 0, -12, 3, 14, 2, 0, 16, -1, 2, 0, 0, 13, 26, -11, -9, 0, -40, -16, 1, 27, 0, -6, 6, 28, -1, 0, 16, -1, 0, -1, 0, 24, -14, 4, -2, 0, -2, -6, 0, -6, 0, 1, 20, -24, 6, 0, -3, -19, 4, -11, 0, 10, 9, -1, 1, 0, 66, 15, 8, -8, 0, 0, -2, -1, -4, 0, 0, 9, 16, -1, 0, 24, -5, 6, 6, 0, -5, 5, 25, 6, 0, 1, 3, 20, 0, 0, -32, -6, 2, 0, 0, 24, -4, -1, -13, 0, 15, 1, 14, -11, 0, -2, 5, 14, 0, 0, -11, 0, -6, -6, 0, -4, 19, 3, -2, 0, 14, -1, -15, -12, 0, 20, -38, 0, -30, 0, -6, 12, 16, -2, 0, 1, -18, 14, 18, 0, 8, -6, 12, -5, 0, 6, 0, -18, -1, 0, 45, -6, -24, 3, 0, 4, -52, 0, 1, 0, -14, 1, 36, -9, 0, 0, -1, 30, -29, 0, 7, -12, -15, 2, 0, 5, 10, -9, 20, 0, 0, -11, 12, 15, 0, -6, 43, 1, 13, 0, -1, 19, -30, -1, 0, -28, -19, -1, 2, 0, 2, -2, -2, 0, 0, 16, 36, 0, 16, 0, 4, -6, -9, -6, 0, 24, 25, -5, -6, 0, -1, -2, 0, -4, 0, -1, 0, 12, 6, 0, 54, 1, -11, -14, 0, -10, 8, -16, 14, 0, -16, 0, 5, 16, 0, -26, -4, 6, -11, 0, 2, 3, 11, -1, 0, 6, 3, 6, 0, 0, 0, 1, -15, -22, 0, 1, 54, -2, 28, 0, -26, -6, 0, -4, 0, 11, 9, 2, -16, 0, 6, 6, 6, -9, 0, -20, 6, 40, -6, 0, 1, 5, -6, -4, 0, 0, -14, -10, 0, 0, 12, -1, -9, 32, 0, -15, 21, 24, 6, 0, -2, 12, 32, 1, 0, -36, 5, 0, 0, 0, -26, 1, 9, -11, 0, 5, 18, -20, -5, 0, 1, 14, 24, -25, 0, -7, 0, -1, -56, 0, 16, 0, 29, 12, 0, 6, -14, -1, -11, 0, -58, 16, 1, 1, 0, 0, -2, -15, -13, 0, -23, 11, 11, -5, 0, -5, 90, 16, -9, 0, -27, 15, -4, 6, 0, 20, -28, 4, -6, 0, 50, 2, 1, -6, 0, 1, -10, -23, -24, 0, -14, -4, 56, 0, 0, -1, 2, 6, 25, 0, 6, 2, 30, -1, 0, 18, 24, 6, -5, 0, 0, 0, 19, -12, 0, 11, -17, -6, -10, 0, 32, 1, -4, -6, 0, 6, 32, -15, -6, 0, 8, 0, 25, 0, 0, 2, 1, 14, -21, 0, -14, 9, -9, 42, 0, 1, 12, -11, -24, 0, 0, -6, 8, 15, 0, 30, 0, -5, -60, 0, -6, -20, -3, -1, 0, 11, -20, -42, -12, 0, 24, 43, 6, -1, 0, 0, 5, 1, -24, 0, -25, 1, -38, 18, 0, 19, -6, -1, 0, 0, 11, 5, 42, 2, 0, 9, -14, -16, 14, 0, 12, -16, 0, -27, 0, 6, 6, 0, 4, 0, -39, -3, 12, 5, 0, 7, 24, 1, -6, 0, 12, 4, 10, -20, 0, 0, 0, 21, 2, 0, -16, 32, -12, 11, 0, 2, -66, 10, -1, 0, 16, -14, -54, 31, 0, 0, 18, 6, 0, 0, 5, 5, 63, -6, 0, -30, 18, -2, 20, 0, -32, 1, 6, 3, 0, -3, 28, 1, -4, 0, 96, 0, 14, 15, 0, 6, -66, -1, -62, 0, 9, -28, -1, 0, 0, 6, -30, -30, -58, 0, -2, 14, 12, -2, 0, -2, 11, -6, -5, 0, -1, 9, 0, -6, 0, -6, 37, 11, -7, 0, -15, -14, 27, 6, 0, -29, -1, 0, 51, 0, 32, 0, -19, 18, 0, 1, 38, 4, 28, 0, -41, 1, -24, -24, 0, -24, 22, 2, -6, 0, 0, -1, 14, -16, 0, -5, 0, 20, -54, 0, -19, -22, 6, -9, 0, 6, -17, -5, -24, 0, 21, 5, -11, 0, 0, -14, 0, 2, 3, 0, 4, 15, 12, 1, 0, -14, -12, -16, 0, 0, -1, -12, -1, 3, 0, 14, 0, 2, 10, 0, -33, 16, 30, -1, 0, 2, 46, 0, -12, 0, -16, 13, 38, 26, 0, -11, -6, -9, -3, 0, -3, -40, -3, -16, 0, 1, 0, 27, -6, 0, -6, -6, -20, 6, 0, 28, -6, -1, 19, 0, 22, 16, 0, -1, 0, 0, 2, -1, -63, 0, 30, 24, 6, -14, 0, 4, -2, -2, -11, 0, -36, -2, 60, -6, 0, 0, 44, -6, 58, 0, 9, 1, -21, 20, 0, -24, -40, 6, 12, 0, -4, -3, -5, -19, 0, 4, -50, -11, 0, 0, 2, 10, 50, 9, 0, -1, 5, 1, -6, 0, -32, 66, 0, 15, 0, 8, -24, -8, -14, 0, -23, 0, -12, -2, 0, -1, -2, -4, 36, 0, -32, 0, -21, 9, 0, 16, -30, -1, -33, 0, 11, 24, -14, -5, 0, 6, 20, 6, 39, 0, 0, -5, -14, 5, 0, 25, -6, 6, 7, 0, 10, 1, 36, 3, 0, 20, -5, 0, -6, 0, -12, -32, -56, -6, 0, 2, 1, 0, -9, 0, -52, 24, -16, -4, 0, -1, -54, -13, 0, 0, 0, 15, -64, 1, 0, 14, 6, -11, -46, 0, 5, -2, -72, 5, 0, 14, -16, 0, -64, 0, 2, -11, -15, 0, 0, -6, -40, -6, -20, 0, 25, -4, -10, 19, 0, 3, 0, -2, 67, 0, 6, 14, -21, -1, 0, -15, 23, -12, 16, 0, -55, 20, 4, -38, 0, 0, -22, -30, 1, 0, 21, -6, 26, 12, 0, 16, -52, -2, 34, 0, 1, 1, 44, -18, 0, 14, -6, 18, 18, 0, -24, 8, 0, -6, 0, 12, -57, -5, -11, 0, -1, 6, 0, 0, 0, -18, 52, -1, -4, 0, 6, 45, -9, -6, 0, -24, 15, 3, 12, 0, 6, 4, 0, -52, 0, 0, -58, 1, -2, 0, -10, -14, 15, 1, 0, 36, -52, -9, -38, 0, -42, 0, 20, -1, 0, 30, 11, -29, 0, 0, -40, 7, 6, -12, 0, -15, 4, 2, -30, 0, 0, 5, -4, 10, 0, -9, -48, 20, -2, 0, 1, 0, 4, -11, 0, 12, 42, 15, -60, 0, -24, -6, -43, 43, 0, 1, -84, 13, 0, 0, -17, -1, 62, 19, 0, -30, -6, -1, 0, 0, -18, -28, 4, -19, 0, -1, 1, 2, 25, 0, 30, 2, -5, -2, 0, -2, 45, 0, -9, 0, -18, 16, -46, 36, 0, 0, 25, 16, 28, 0, 27, 4, 11, -6, 0, -9, 0, -6, -90, 0, 0, 24, 3, 25, 0, -5, -73, -6, -7, 0, 6, -1, -56, -2, 0, 0, -38, -4, 9, 0, 20, -1, 24, 0, 0, 12, -21, 6, 15, 0, -22, 54, -32, 1, 0, -11, 9, -14, -2, 0, 25, -10, -30, 8, 0, -16, 0, 14, 36, 0, -31, -16, -21, 0, 0, 5, -6, 16, -4, 0, -56, -26, -5, -4, 0, 6, 14, -11, 30, 0, -2, 2, 0, 3, 0, 11, -41, -1, 78, 0, -3, 6, 12, 3, 0, 6, -1, 0, 12, 0, -36, 0, 0, 1, 0, -15, -26, -22, -6, 0, 38, 1, -16, 54, 0, -2, -7, 28, 41, 0, 0, -26, -18, -6, 0, 0, 30, -4, 84, 0, -15, 11, -14, 9, 0, 2, 12, -16, 2, 0, -28, 6, 16, 6, 0, 6, 80, -9, 0, 0, 6, -20, -16, 6, 0, 40, -11, -6, 0, 0, 84, 1, 14, 5, 0, -6, -5, -4, 29, 0, -50, 0, 67, -14, 0, -10, 4, 0, -14, 0, -18, 12, 12, -1, 0, -9, -4, 32, -83, 0, 80, -15, -1, 21, 0, 24, 0, 6, 24, 0, -45, -2, 10, 12, 0, 32, -15, 1, -1, 0, 16, -36, 72, 5, 0, 0, -20, 0, -13, 0, 20, -26, 22, 1, 0, 9, -75, -11, -6, 0, 11, 5, -13, 18, 0, -20, 85, -5, 66, 0, 0, 1, 22, 14, 0, 24, -2, -25, 6, 0, 35, -7, -15, 0, 0, -1, 25, -56, 14, 0, -55, 16, -19, 0, 0, 29, -36, 12, -8, 0, -3, 6, 0, -14, 0, -1, -2, -11, 60, 0, 6, -58, -16, 16, 0, 1, 0, 1, -2, 0, 16, 0, -12, -2, 0, -15, 60, -13, 66, 0, -26, -23, 24, 11, 0, 11, 9, -5, 71, 0, 0, -5, 40, 90, 0, 16, 2, -9, -1, 0, 13, -27, -4, 15, 0, -4, -36, 6, -52, 0, -6, 20, 0, -28, 0, 4, 1, -6, 51, 0, 0, 50, -16, 2, 0, 1, 66, -6, 0, 0, -36, 1, 11, -10, 0, -23, -96, -24, -24, 0, 14, -14, -1, -4, 0, 56, 2, 0, -10, 0, -84, -1, 2, 2, 0, 6, -54, 25, 0, 0, -4, 6, 11, 2, 0, 30, 0, -1, 2, 0, -20, 18, 14, 24, 0, 6, -6, -5, -36, 0, 18, 0, 3, 0, 0, 19, -3, -12, -4, 0, -14, 11, 9, -17, 0, -6, -15, -10, -8, 0, -9, 32, -20, 1, 0, -4, -1, -6, -20, 0, 28, 6, -66, 32, 0, -15, -25, -6, -8, 0, 11, 8, -46, 0, 0, 25, -54, 0, -22, 0, 2, 2, -39, 1, 0, 14, 4, -21, 6, 0, 58, -14, 0, 9, 0, -9, -24, 42, -16, 0, 0, 1, 6, 12, 0, -11, 58, -24, 29, 0, 5, 0, 44, -6, 0, 8, -6, 15, -16, 0, -10, 30, 5, 0, 0, -5, -75, -60, -25, 0, 0, -6, -16, -20, 0, -3, 10, -1, 51, 0, -3, 11, -6, -20, 0, -42, 0, -12, 99, 0, -3, 24, 32, 43, 0, 6, 20, -1, -2, 0, -12, 0, 62, 5, 0, 1, -24, -24, 0, 0, 4, -25, -30, 1, 0, -38, 13, 18, 3, 0, -68, 19, -15, -6, 0, -1, 9, 0, -14, 0, -2, 11, 0, 5, 0, 42, 1, 2, -36, 0, -5, 9, -78, -14, 0, -16, 0, 14, -6, 0, 54, 12, 11, -16, 0, 0, 44, -27, 6, 0, 22, 6, -11, 6, 0, 0, -20, 4, 16, 0, -19, -39, -54, -3, 0, 12, 2, 5, 0, 0, -1, 7, -14, 24, 0, 1, 2, -6, 15, 0, -48, 12, -4, 4, 0, 10, 1, -20, 74, 0, 38, 0, -84, 0, 0, 21, 30, 2, 42, 0, 29, -16, 6, 32, 0, -12, -30, 11, -16, 0, 67, 2, 0, -66, 0, 10, 98, -1, 4, 0, 18, 16, -27, -14, 0, -54, -18, 31, -27, 0, 6, 0, -8, 18, 0, 6, 52, 0, -12, 0, -84, 5, -28, 5, 0, 63, 0, -6, -2, 0, 0, -30, 2, 18, 0, -2, 1, 20, 48, 0, 0, -32, -45, 1, 0, 6, -38, 3, 24, 0, -24, -3, -44, 28, 0, 1, 68, -4, 10, 0, 52, 96, 0, 0, 0, 14, -1, 15, 0, 0, -45, 6, 14, -66, 0, -1, 16, -62, -36, 0, 15, 9, 40, -28, 0, -1, 0, 0, 1, 0, 1, 6, 24, -30, 0, -30, 29, -58, 26, 0, -47, -2, -7, 14, 0, 12, 19, -2, 15, 0, 30, -2, -24, 11, 0, -6, 44, -5, 50, 0, -10, -1, 67, 9, 0, 0, -20, -6, -20, 0, -27, -6, 0, 37, 0, 11, -55, -7, -12, 0, 3, -15, -1, -14, 0, 27, -60, 6, 8, 0, -43, -29, -5, -1, 0, 0, -13, 51, 60, 0, -36, 32, 1, 0, 0, -19, 20, 18, 30, 0, -91, 1, 49, 38, 0, 4, 54, 28, 0, 0, 19, -41, 0, 1, 0, -24, -2, -24, -29, 0, -24, -24, -2, 22, 0, 2, -80, -6, 2, 0, -89, 0, 165, -1, 0, 14, 55, -16, 20, 0, -36, -5, 48, 0, 0, 20, -16, -54, -6, 0, 0, -19, -4, -22, 0, 6, 32, -9, 9, 0, 4, 6, -20, -17, 0, -5, -18, -24, -33, 0, -25, 21, -49, 5, 0, -11, 6, 0, -36, 0, -33, -14, 1, 0, 0, 2, -31, 3, 0, 0, -24, 4, -92, 15, 0, 12, -62, 1, -72, 0, 0, -14, -73, -12, 0, -16, -6, 0, -92, 0, -80, -1, -54, -12, 0, -1, 14, 3, 11, 0, -56, 14, 79, 0, 0, 2, 0, 10, 100, 0, -8, -33, -14, 16, 0, 30, -14, -1, -46, 0, -84, 2, 16, 46, 0, 0, 0, -12, -5, 0, -5, -16, 2, 13, 0, 38, -2, 26, -27, 0, 4, -11, 11, -6, 0, -9, 11, -3, -6, 0, 25, -3, -2, -40, 0, -3, -73, -16, -11, 0, 144, 1, -20, 0, 0, 27, 18, -6, 12, 0, -3, -6, 0, -6, 0, -20, 0, 6, 61, 0, 63, 28, 0, -6, 0, -1, 28, 19, 15, 0, 6, 22, 8, 16, 0, 0, -12, -1, 28, 0, -54, 0, -12, 2, 0, -1, -28, -63, -41, 0, -1, 30, 26, 24, 0, 6, 15, -14, 0, 0, 0, 4, -90, -2, 0, -2, -52, -11, 84, 0, -9, -36, -87, -2, 0, 60, 16, -6, 5, 0, 63, 0, -6, 44, 0, -6, 74, 58, -6, 0, 30, 9, 18, 1, 0, -21, -75, 20, 0, 0, -6, -24, 72, -40, 0, 6, 6, 12, -44, 0, -22, -4, -1, -3, 0, -5, -43, -19, 6, 0, 24, 4, -2, -50, 0, -11, -91, 0, -2, 0, 14, 2, 55, 10, 0, 50, 0, 9, -10, 0, -11, -1, -12, 5, 0, 1, 26, -6, 9, 0, 0, -32, -10, 66, 0, 0, 92, 15, 84, 0, -21, 8, -30, -24, 0, -8, -6, -14, 12, 0, 96, -23, 2, 0, 0, -12, 12, -2, -32, 0, -16, -1, 6, -2, 0, -4, -81, 36, -18, 0, -5, -32, -74, 0, 0, -21, 0, 9, 12, 0, 81, 16, 26, -30, 0, -1, -26, -33, -9, 0, 12, 11, 0, 24, 0, -14, 18, -5, 90, 0, -18, 6, 16, 20, 0, 6, 5, 39, -42, 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": "4650.2.a.s", "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], [-1], [1], [1], [0], [-1], [-1], [1], [-1], [0], [1], [-6], [1], [0], [0], [1], [-1], [0], [-1], [0], [1], [-1], [-1], [6], [0], [1], [1], [1], [-6], [0], [1], [5], [0], [-1], [0], [-1], [1], [-11], [-1], [0], [0], [5], [-1], [-6], [0], [6], [1], [-9], [-1], [0], [-1], [0], [6], [-4], [0], [-15], [1], [-1], [1], [0], [1], [2], [-6], [0], [0], [11], [1], [-16], [5], [0], [0], [1], [-1], [-2], [0], [1], [-1], [-5], [1], [0], [-11], [-6], [-1], [-6], [0], [-1], [0], [-1], [5], [0], [-1], [-2], [-6], [-1], [0]]}