# Stored data for newform 3450.2.a.l, downloaded from the LMFDB on 25 April 2024.
{"label": "3450.2.a.l", "space_label": "3450.2.a", "level": 3450, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934633338, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1248203638107551815, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-2, 1]], [11, [2, 1]], [13, [-6, 1]], [17, [-4, 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": 13800, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 27.548388697341732, "hecke_ring_index": 1, "level_radical": 690, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [3450, 1, [1151, 277, 1201], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 23], "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": "1.036", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.078", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.172", "prec": 17}], "related_objects": ["EllipticCurve/Q/3450/l"], "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], [23, 1]], "trace_display": [-1, 1, 0, 2], "traces": [0, 1, -1, 1, 1, 0, -1, 2, -1, 1, 0, -2, 1, 6, -2, 0, 1, 4, -1, 0, 0, 2, 2, -1, -1, 0, -6, 1, 2, 2, 0, 0, -1, -2, -4, 0, 1, 8, 0, 6, 0, -6, -2, 4, -2, 0, 1, 0, 1, -3, 0, 4, 6, -6, -1, 0, -2, 0, -2, 0, 0, -8, 0, 2, 1, 0, 2, 4, 4, -1, 0, 16, -1, -6, -8, 0, 0, -4, -6, 14, 0, 1, 6, -14, 2, 0, -4, 2, 2, -8, 0, 12, -1, 0, 0, 0, -1, 6, 3, -2, 0, 6, -4, 2, -6, 0, 6, 18, 1, -4, 0, 8, 2, -12, 0, 0, 2, 6, 0, 8, 0, -7, 8, -6, 0, 0, -2, 0, -1, 4, 0, 12, -2, 0, -4, 0, -4, 8, 1, -4, 0, 0, -16, -12, 1, 0, 6, -3, 8, 10, 0, 12, 0, 4, 4, 0, 6, 16, -14, -6, 0, -2, -1, 4, -6, 0, 14, 0, -2, 23, 0, 0, 4, -18, -2, 0, -2, 0, 8, -20, 0, -12, -12, -8, 1, 0, 0, -8, 0, 2, 0, 0, 1, 2, -6, 0, -3, -6, 2, -2, 0, 4, -6, 4, 4, 0, -2, -1, 6, 0, 0, -20, -6, 16, -18, 0, -1, 0, 4, -6, 0, 24, -8, 16, -2, 0, 12, 18, 0, -20, 0, -4, -2, 26, -6, 0, 0, 14, -8, 16, 0, -14, 7, 1, -8, 0, 6, 0, 0, -14, 0, 6, 2, 2, 0, 0, 1, -14, -4, 16, 0, 2, -12, -4, 2, 0, 0, -8, 4, -18, 0, 20, 4, 12, -8, 0, -1, 10, 4, 0, 0, 8, 0, 16, 16, 0, 12, -12, -1, -1, 0, 6, -6, 10, 3, 0, -8, -2, -10, -6, 0, 8, -12, 6, 0, 0, -4, -28, -4, 2, 0, -32, -6, 34, -16, 0, 14, 22, 6, -4, 0, 18, 2, 0, 1, 0, -4, -4, 6, 0, 0, 20, -14, 8, 0, 0, 2, 34, -23, -12, 0, 0, 0, -20, -4, 0, 18, 8, 2, -6, 0, 6, 2, -26, 0, 0, -8, 8, 20, 24, 0, -19, 12, -7, 12, 0, 8, -10, -1, -6, 0, -12, 0, -32, 8, 0, 0, 12, -2, 16, 0, 0, 0, 12, -1, 0, -2, 4, 6, 10, 0, -4, 3, 12, 6, 0, -2, 22, 2, 0, 0, -24, -4, 0, 6, 0, -4, -16, -4, 38, 0, 8, 2, 0, 1, 0, -6, -4, 0, -14, 0, 0, 20, 0, 6, 0, -16, -16, 18, -12, 0, -36, 1, -30, 0, 0, -4, 0, 6, 32, 0, -3, -24, -4, 8, 0, -16, 10, 2, -22, 0, 12, -12, 12, -18, 0, 0, -18, 20, 4, 0, -10, 4, 36, 2, 0, -26, 30, 6, 8, 0, 16, 0, -8, -14, 0, 8, -6, -16, 8, 0, 48, 14, -2, -7, 0, -1, -12, 8, 4, 0, -12, -6, 8, 0, 0, 0, 32, 14, -28, 0, 0, -6, -4, -2, 0, -2, 23, 0, -14, 0, -12, -1, 0, 14, 0, 4, 0, -16, -18, 0, -4, -2, -4, 12, 0, 4, 0, -2, 1, 0, 0, 0, -36, 8, 0, -4, -20, 18, 6, 0, 26, -20, -12, -4, 0, -12, -12, 8, -8, 0, 0, 1, 28, -10, 0, -4, 22, 0, 24, 0, -8, -8, 10, 0, 0, -16, 2, -16, 24, 0, 12, -12, 0, 12, 0, 1, -2, 1, 2, 0, -28, -6, 12, 6, 0, -10, -8, -3, 0, 0, -6, 8, -30, 2, 0, 10, -2, 6, -24, 0, -22, -8, 4, 12, 0, -6, -40, 0, 4, 0, 0, 4, 4, 28, 0, 4, -28, -2, 0, 0, -1, 32, -16, 6, 0, -34, 0, 16, 32, 0, -22, -14, -20, -22, 0, -6, -18, 4, 16, 0, 16, -18, 28, -2, 0, 0, 24, -1, 0, 0, 0, 4, -22, 4, 0, -6, -6, 0, 6, 0, 0, -20, 24, 14, 0, -8, -2, 0, 16, 0, 16, -2, -42, -34, 0, 23, -2, 12, 12, 0, 18, 0, -48, 0, 0, 20, -20, 4, -36, 0, 28, -18, -4, -8, 0, -2, -24, 6, 26, 0, 30, -6, 0, -2, 0, 26, 12, 0, 16, 0, 14, 8, 0, -8, 0, -20, 16, -24, 24, 0, 4, 19, -14, -12, 0, 7, -38, -12, 1, 0, 16, -8, -36, 10, 0, 1, -8, 6, 12, 0, 0, 12, -4, 0, 0, 32, -14, -8, 36, 0, -50, 0, 6, -12, 0, 2, -40, -16, 2, 0, -10, 0, -8, 0, 0, -12, 0, 1, 6, 0, -14, 2, 18, -4, 0, -6, 16, -10, 0, 0, -32, 4, 2, -3, 0, -12, 4, -6, -4, 0, -24, 2, -48, -22, 0, -2, 46, 0, 0, 0, -8, 24, 12, 4, 0, 0, -18, -6, -18, 0, -44, 4, 20, 16, 0, 4, 0, -38, 12, 0, -10, -8, 4, -2, 0, 0, 22, -1, -38, 0, 10, 6, -12, 4, 0, 0, 0, 14, -20, 0, -25, 0, 8, -20, 0, 0, -14, -6, 16, 0, -8, 16, -26, 16, 0, -18, -30, 12, -12, 0, -12, 36, -24, -1, 0, 30, -1, 0, -28, 0, 24, 4, 6, 0, 0, -6, 2, -32, 10, 0, -56, 3, 36, 24, 0, 4, -48, -8, 0, 0, -2, 16, 0, -10, 0, -2, -6, 22, 0, 0, -24, -12, 8, 12, 0, -12, 24, 18, 6, 0, 36, 0, 28, 18, 0, -20, 24, -4, -2, 0, -28, 10, 96, -4, 0, -36, 2, -2, 18, 0, 0, 26, -32, -30, 0, -6, -42, -8, 34, 0, -22, -16, 6, 0, 0, 8, -8, 14, -36, 0, 22, -8, -44, 6, 0, 16, -4, -8, 16, 0, -31, -48, 18, -14, 0, 2, -52, 7, 0, 0, -46, 1, -8, 12, 0, -8, -24, -4, 16, 0, -4, 12, 12, 6, 0, -8, 0, 0, -4, 0, -32, 0, 20, -32, 0, -14, 2, 28, 8, 0, -24, 0, 0, 6, 0, 4, 0, 2, -14, 0, 34, 2, -30, -23, 0, 0, -12, 14, -50, 0, -22, 12, 0, 1, 0, 0, 84, -14, -20, 0, 12, -4, -22, 0, 0, 16, -32, 18, -52, 0, 8, 4, 20, 2, 0, 4, -6, -12, 60, 0, -52, -4, 6, 0, 0, 2, 24, -1, -26, 0, 26, 0, -54, 0, 0, 36, -12, -8, -60, 0, 8, 4, 16, 20, 0, -18, 24, -6, -84, 0, 0, -26, -19, 20, 0, 12, -52, 4, -7, 0, -42, 12, -38, 12, 0, -8, 6, 8, 32, 0, -10, 0, 28, -1, 0, -28, -6, 10, 18, 0, -12, 4, -12, -22, 0, 0, -2, -24, -32, 0, 0, 8, 44, 8, 0, -10, 3, 0, -10, 0, 12, 16, -4, -2, 0, 16, 16, -24, 16, 0, 8, -12, 0, 12, 0, 0, 0, -12, 12, 0, 24, -1, 34, 2, 0, -1, -48, -2, 0, 0, 4, 28, -8, 6, 0, -12, 10, -6, 0, 0, 12, 10, -4, 8, 0, 3, -36, 0, 12, 0, 50, 6, 46, -8, 0, 30, 2, -2, -12, 0, 22, -10, 16, 2, 0, -6, 0, 24, 8, 0, -54, 22, -24, 8, 0, -4, 64, -12, 0, 0, -36, 6, 44, 40, 0, 0, 48, -4, 6, 0, -16, 0, 48, -4, 0, -4, 38, -28, 10, 0, 68, -4, 8, 28, 0, 2, -22, 0, 0, 0, -24, 1, 24, -32, 0, 16, 8, -6, -58, 0, -4, 34, -40, 0, 0, -16, -14, -32, 22, 0, 36, 22, 0, 14, 0, 20, -24, 22, 0, 0, 0, 6, 0, 18, 0, -4, -42, -16, 26, 0, -16, -16, 36, 18, 0, -28, -12, 2, 26, 0, 44, 0, -36, -24, 0, 1, 66, 0, -30, 0, 10, 0, -34, -4, 0, 22, -50, -4, -16, 0, 0, 6, 36, 6, 0, 0, 32, -6, -48, 0, 54, 0, -3, 20, 0, -24, 72, -14, -4, 0, 36, 8, 0, 2, 0, 0, 0, -16, 12, 0, 10, -16, 56, 2, 0, 42, -22, 34, 0, 0, 4, -23, 12, 2, 0, -12, 0, -12, 12, 0, 14, -18, 0, 0, 0, 48, 24, 0, 27, 0, -18, -20, -34, 20, 0, -4, 4, 36, -12, 0, -50, -28, -10, 18, 0, 4, 0, 8, 36, 0, 108, 2, -4, 24, 0, -6, 0, -26, 30, 0, 30, -30, 8, 6, 0, 0, 8, 2, 54, 0, -56, -26, 16, -12, 0, 0, -24, -16, -8, 0, -6, -14, -38, -8, 0, 0, 28, 8, -10, 0, -6, 20, -12, -16, 0, 24, 8, -24, -48, 0, -24, -4, 48, -19, 0, 14, 22, 12, -2, 0, 64, -7, 26, 38, 0, 12, 0, -1, 0, 0, -12, -16, 0, 8, 0, 36, 4, -10, -72, 0, 14, -1, -12, 8, 0, -6, -40, -12, 8, 0, -34, 0, 8, -12, 0, 4, -12, 0, -14, 0, 32, -32, 54, 14, 0, 8, -28, -36, -4, 0, 0, 50, 0, 0, 0, -6, -16, 12, -4, 0, -24, -2, -32, 40, 0, 16, -48, -2, 0, 0, 23, 10, 66, 0, 0, 8, -14, 0, 8, 0, -12, 12, -12, 0, 0, -1, -12, -6, 0, 0, -4, 14, 36, -2, 0, -18, 48, 4, 70, 0, 0, 6, 10, -16, 0, 10, -18, 0, -8, 0, 32, 32, -4, -4, 0, -2, 8, 3, -4, 0, 42, 12, -42, -4, 0, 6, 0, 4, 16, 0, 0, 24, 32, -2, 0, 48, 1, 22, 36, 0, 32, 2, 0, -46, 0, 0, -72, 0, -36, 0, 12, 8, -40, -24, 0, -12, -12, -4, 30, 0, -20, 0, 78, 18, 0, 6, 6, 18, -24, 0, 52, 44, 26, -4, 0, -20, -36, -16, -12, 0, 52, -4, -16, 0, 0, 38, 26, -12, -20, 0, -12, 10, 0, 8, 0, -4, -8, 2, 24, 0, 0, 0, 0, -22, 0, 1, 42, 38, 28, 0, -24, -10, -14, -6, 0, 12, -38, -4, -38, 0, 22, 0, 32, 0, 0, -14, 24, 20, 6, 0, -5, 25, -8, 0, 0, -8, -28, 20, 10, 0, 0, 0, 4, 14, 0, 6, 58, -16, -16, 0, 2, 8, 72, -16, 0, 26, 24, -16, 66, 0, 0, 18, 12, 30, 0, -12, 24, 12, 0, 0, 4, 12, -8, -36, 0, 24, -32, 1, 0, 0, -2, -30, -54, 1, 0, 0, 2, 28, 0, 0, 50, -24, -28, -4, 0, -6, 52, 0, 12, 0, 8, 6, -62, -2, 0, 32, 12, -10, -50, 0, -8, 56, -24, -3, 0, -36, 0, -24, -16, 0, 4, -4, -6, 48, 0, 8, 30, 0, -30, 0, 48, 2, -52, -16, 0, 0, 60, 10, -50, 0, -2, 2, -8, 6, 0, -22, -24, 0, -28, 0, -30, 24, -22, 12, 0, -8, -24, -12, 4, 0, 46, 12, -24, -24, 0, -18, -14, -6, 72, 0, -40, -36, -16, 0, 0, -28, 4, -18, 0, 0, -46, 20, 0, -24, 0, 4, 0, 2, 4, 0, -8, 28, 0, -10, 0, -96, -40, 4, -27, 0, -28, 36, -16, -2, 0, 2, 0, -18, -46, 0, 32, 0, -1, -26, 0, 32, -20, 30, -16, 0, 48, 6, 46, 42, 0, 8, -42, -34, -64, 0, 0, 22, -36, 16, 0, -6, 32, 0, -82, 0, 0, -8, -22, 8, 0, -14, 40, 36, -20, 0, 42, -22, 36, 8, 0, 44, 10, -6, 14, 0, -18, -16, 70, 4, 0, 8, 16, -16, 0, 0, -48, 31, 16, 48, 0, -18, 0, 14, 28, 0, -14, -2, -14, 52, 0, -7, 60, 0, 20, 0, 24, 46, 8, -1, 0, 8, 0, -12, 2, 0, 34, 8, 0, 24, 0, 4, 0, -16, -22, 0, -48, 4, 72, -12, 0, -12, 16, -6, 40, 0, -6, 8, -6, 0, 0, 0, 6, 4, 24, 0, 32, 32, 0, 0, 0, -20, 28, 32, 24, 0, 24, 14, -70, -2, 0, -28, 22, -8, -38, 0, -2, 24, -76, 0, 0, 0, 16, -6, 18, 0, -32, -4, 16, 0, 0, -2, 18, 14, -42, 0, 0, -34, -2, -2, 0, 30, 12, 23, -60, 0, -2, 0, 0, 12, 0, -14, 12, 50, -28, 0, 96, 22, 18, -12, 0, 0, 8, -1, -48, 0, 20, 0, -2, -84, 0, 14, -28, 20, 32, 0, -20, -12, -80, 4, 0, 22, -36, 0, 6, 0, 0, -16, 28, 32, 0, -18, 0, 52, -4, 0, 52, -8, 44, -4, 0, -20, -36, -2, 86, 0, -24, -4, -12, 6, 0, 12, 26, -60, 48, 0, 0, 52, 30, 4, 0, -6, -12, 0, 0, 0, 0, -2, -70, -24, 0, 1, -12, 26, 24, 0, 12, -26, -4, 0, 0, 54, 16, 0, -70, 0, 28, -36, 14, 12, 0, 8, -78, 60, 0, 0, 42, -8, -16, -4, 0, -16, 0, -20, -56, 0, 16, 18, 60, -24, 0, 6, 24, 84, 0, 0, 34, 0, 4, 26, 0, 19, 12, -20, -14, 0, 0, -12, 36, 52, 0, -4, -64, 7, 36, 0, -38, 42, 0, -12, 0, 38, 1, -12, 4, 0, 68, 8, 16, -6, 0, -8, 60, -32, -36, 0, 0, 10, 36, 0, 0, -28, -24, 1, -47, 0, -8, 28, -42, 6, 0, -10, 12, -18, 44, 0, -30, 12, 0, -4, 0, 12, 48, 22, -4, 0, -6, 0, -8, 2, 0, 24, -6, 32, -32, 0, -14, 0, -48, -8, 0, -44, 36, -8, -108, 0, -32, 10, -50, -3, 0, 0, -64, 10, 6, 0, 0, -12, 0, -16, 0, 4, -8, 2, -12, 0, -40, -16, 76, -16, 0, 24, 2, -16, -24, 0, -90, -8, -10, 12, 0, 0, -70, -12, -8, 0, 28, 0, 14, 0, 0, 12, 76, -12, 0, 0, 0, -24, 0, 1, 0, -34, 6, -2, 18, 0, -14, 1, -14, 48, 0, 2, 40, 0, 18, 0, 40, -4, -6, -28, 0, 8, -120, -6, 32, 0, 16, 12, 50, -10, 0, 6, 0, 0, 24, 0, -66, -12, -32, -10, 0, 4, 20, -8, 2, 0, -36, -3, -72, 36, 0, 0, -86, -12, 68, 0, 4, -50, -16, -6, 0, -46, -4, 8, -2, 0, -28, -30, -24, -2, 0, 2, 38, 12, -48, 0, -66, -22, 46, 10, 0, -16, 0, -2, -16, 0, 46, 6, -2, 0, 0, -24, 0, -8, 12, 0, -19, 54, -8, -22, 0, 24, -28, -8, 12, 0, 78, 4, 0, -64, 0, 12, 22, 0, 0, 0, -18, 36, 32, -6, 0, -44, -18, -40, 16, 0, -48, 0, -44, -48, 0, 4, -76, -6, 20, 0, 6, 16, -12, 0, 0, -48, -96, 4, 0, 0, 0, 4, -32, -38, 0, 28, 12, -10, 2, 0, -18, -68, -10, 4, 0, -8, 28, -28, 4, 0, -52, -2, 50, 22, 0, 0, 62, 0, 32, 0, 22, 24, 0, -1, 0, -24, -38, 32, 0, 0, 0, -16, 10, -8, 0, 6, -36, 58, -12, 0, 48, 4, 94, -34, 0, 40, 4, 0, 12, 0, 0, 16, 48, 14, 0, 32, -20, -22, 40, 0, -34, -36, -25, -22, 0, 0, -38, -14, 8, 0, 68, -20, 40, 24, 0, -22, 0, 0, -52, 0, -14, 0, -24, -6, 0, 0, 16, -18, 30, 0, 50, 4, -8, 42, 0, 16, 70, -26, -26, 0, -36, 16, -52, 16, 0, -36, 48, -18, -20, 0, -30, 28, 0, 12, 0, -2, -12, -26, 44, 0, -16, -44, -12, 0, 0, 36, -12, 24, -24, 0, -28, -1, -34, -66, 0, 0, 18, 30, 12, 0, -1, -10, 0, 0, 0, 34, -28, 4, 44, 0, -64, -22, 24, 50, 0, 4, 58, 16, 6, 0, 10, 0, -32, -6, 0, -36, 128, -6, -32, 0, 2, 0, -96, -32, 0, 6, 10, 48, 24, 0, 0, -54, -56, 0, 0, 3, 72, -20, 36, 0, 28, 24, 32, -72, 0, 14, 2, 4, 48, 0, -48, -36, -48, -8, 0, 0, 0, -2, 64, 0, 60, 0, -2, 0, 0, 16, -38, -12, 0, 0, 24, -10, 68, 16, 0, -56, -68, -2, 14, 0, -6, -42, -70, 22, 0, -34, 0, 0, 72, 0, -48, -4, -24, 23, 0, -12, 20, -2, 8, 0, 12, 12, 78, 0, 0, 12, 0, -12, -10, 0, 24, -14, 20, 18, 0, 0, 6, 0, 36, 0, 60, -48, 36, -24, 0, 0, -8, -27, 28, 0, -54, 18, -120, 20, 0, 34, -24, -20, -82, 0, 24, 4, 94, -4, 0, -36, -2, 12, 0, 0, -12, 50, -28, 28, 0, 10, -42, -18, 96, 0, 16, -4, 0, 0, 0, -8, 12, -36, 44, 0, 2, -108, 7, -2, 0, 4, 18, -24, -46, 0, -76, 6, 0, 0, 0, 26, 72, -30, -32, 0, -50, -30, -24, 30, 0, -8, -48, -6, -17, 0, -42, 0, 12, -8, 0, -2, 34, -54, -20, 0, 0, 56, -22, 26, 0, -16, 28, 12, 6, 0, 0, 0, -34, 24, 0, 16, -42, 8, 0, 0, -8, 6, -14, 14, 0, 38, -36, 8, -32, 0, 28, 0, 22, -28, 0, -8, -46, 10, -44, 0, -62, 6, 76, -20, 0, 12, 0, 16, 0, 0, -4, -24, 92, -8, 0, 24, 16, 48, 88, 0, 16, 24, -31, 4, 0, -48, -4, 19, 18, 0, 0, -14, 8, -22, 0, -12, 104, 2, 96, 0, -52, -64, -64, 7, 0, -26, 0, -38, -70, 0, -96, -12, -46, 0, 0, 1, 56, 0, -8, 0, 0, 12, 112, 16, 0, 0, 96, -8, 12, 0, -24, -36, -28, -4, 0, 10, 16, 72, -56, 0, -72, -14, -4, 1, 0, 12, 0, -8, 12, 0, 108, 6, -74, 40, 0, 12, -14, -8, 36, 0, 0, 34, 74, 0, 0, -8, -4, 12, -54, 0, 28, -4, -32, 12, 0, 0, -120, 14, 20, 0, -40, -32, 0, 32, 0, -54, 4, -14, 24, 0, 2, -8, 36, 28, 0, 36, 8, 4, -104, 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": "690.2.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], [1], [1], [0], [-1], [2], [-1], [1], [0], [-2], [1], [6], [-2], [0], [1], [4], [-1], [0], [0], [2], [2], [-1], [-1], [0], [-6], [1], [2], [2], [0], [0], [-1], [-2], [-4], [0], [1], [8], [0], [6], [0], [-6], [-2], [4], [-2], [0], [1], [0], [1], [-3], [0], [4], [6], [-6], [-1], [0], [-2], [0], [-2], [0], [0], [-8], [0], [2], [1], [0], [2], [4], [4], [-1], [0], [16], [-1], [-6], [-8], [0], [0], [-4], [-6], [14], [0], [1], [6], [-14], [2], [0], [-4], [2], [2], [-8], [0], [12], [-1], [0], [0], [0], [-1], [6], [3], [-2], [0]]}