# Stored data for newform 4225.2.a.e, downloaded from the LMFDB on 24 April 2024. {"label": "4225.2.a.e", "space_label": "4225.2.a", "level": 4225, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543040641, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 548410739343401598, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [3, [2, 1]], [7, [0, 1]], [11, [-2, 1]]], "qexp_display": "q-q^{2}-2q^{3}-q^{4}+2q^{6}+3q^{8}+q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16900, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 33.736794853990965, "hecke_ring_index": 1, "level_radical": 65, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [4225, 1, [677, 3551], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [5, 13], "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": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.010", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.057", "prec": 17}], "related_objects": ["EllipticCurve/Q/4225/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [13, -1]], "trace_display": [-1, -2, 0, 0], "traces": [0, 1, -1, -2, -1, 0, 2, 0, 3, 1, 0, 2, 2, 0, 0, 0, -1, 0, -1, -6, 0, 0, -2, 6, -6, 0, 0, 4, 0, -6, 0, -6, -5, -4, 0, 0, -1, -6, 6, 0, 0, 8, 0, -6, -2, 0, -6, 8, 2, -7, 0, 0, 0, 12, -4, 0, 0, 12, 6, -2, 0, 6, 6, 0, 7, 0, 4, 12, 0, -12, 0, 2, 3, -6, 6, 0, 6, 0, 0, 0, 0, -11, -8, 4, 0, 0, 6, 12, 6, 8, 0, 0, -6, 12, -8, 0, 10, -6, 7, 2, 0, -6, 0, 6, 0, 0, -12, -6, -4, 12, 0, 12, 0, 0, -12, 0, 6, 0, 2, 0, 0, -7, -6, -16, 6, 0, 0, 2, 3, 12, 0, -12, 4, 0, -12, 0, 0, -2, 12, 4, 0, -16, -2, 0, -1, 0, 6, 14, 6, 20, 0, -18, -18, 0, 0, 0, 0, 12, 0, -24, 0, 0, 11, 12, -8, 0, -4, 16, 0, 0, 0, -6, 6, 12, -12, 0, -2, 4, -8, -12, 0, 2, 0, -12, 18, 0, -12, 0, -8, 0, 0, 0, -14, -6, 6, 0, 7, -2, -2, -24, 0, -24, 6, 0, 0, 0, -6, 6, 0, -12, 0, -12, -12, -4, 6, 0, 12, 0, -12, 12, 0, 0, -12, -24, 0, 0, 0, -4, -12, 12, 0, 0, -18, -24, 0, 0, 2, 0, 0, -10, 0, 0, 7, 10, -6, 0, 16, 0, -18, -8, 0, -12, 0, 12, -2, 0, -17, 0, -12, 0, 0, -6, 12, -6, -12, 0, 0, -16, -12, 18, 0, 6, 0, 0, 2, 0, 12, 12, -4, -6, 0, 8, 16, -22, -2, 0, 0, 0, -5, -17, 0, 12, 6, -26, -14, 0, -18, 8, -20, 0, 0, 0, 18, 12, 6, 0, 0, -12, 0, -12, 0, -24, 0, -8, -12, 0, 0, -2, 24, -12, 0, 12, 0, 0, 11, 0, -12, -24, 24, 0, 0, 30, -4, -6, -16, 0, 0, -32, 0, 0, 0, -12, 6, 0, -18, 0, -12, -6, -12, -12, 0, 0, -10, 14, -4, 0, -8, 0, 12, 2, 0, 17, -2, 14, 0, 0, 12, -18, -6, 8, 0, 0, -12, -4, 0, 0, 24, 0, 0, 18, 0, -4, 0, -8, -6, 0, 6, -6, 6, 6, 0, 0, -21, 24, 2, 0, -2, 18, 24, 0, 0, 16, 24, 0, 6, 0, 0, -12, 0, -24, 0, 4, -6, 0, -6, 0, 0, -8, 12, 12, 0, -36, 12, 8, 36, 0, 4, 0, 6, 0, 0, 10, -4, 16, 0, 0, -12, -36, -12, 8, 0, -7, 0, 6, -12, 0, 24, -40, 0, 16, 0, 16, 0, 36, 4, 0, 36, -30, -12, 0, 0, 4, 0, -24, 6, 0, 24, -18, 0, 0, 0, -24, -6, -12, 0, 0, 0, 12, 10, -22, 0, 0, 0, 0, 7, 0, -10, 0, 18, -24, 0, -12, 16, 0, 0, 0, 6, 0, 8, -6, 0, -32, 12, -6, 0, 0, -12, 0, -2, -20, 0, 0, 11, -24, 0, 0, -12, 16, 0, -24, 0, -30, 6, -42, 12, 0, 6, 0, 4, 13, 0, -2, 0, 0, 16, 0, 36, 24, -18, -14, 0, 12, -6, -4, 0, 0, 0, 18, 2, 6, 0, 36, -36, 0, -12, 0, -4, -14, 6, 0, 0, 0, -8, -30, 16, 0, 22, 0, 6, 18, 0, -12, 0, 0, 0, 0, 7, 18, 17, 12, 0, 0, -12, 24, -18, 0, 26, 20, -14, 36, 0, 4, 6, -22, -8, 0, -20, 48, 0, -24, 0, -6, 0, 12, 18, 0, -12, -18, 30, 0, 0, 0, 0, -30, 12, 0, 0, 34, 12, -18, 0, 24, 24, 0, 0, 0, 8, 24, -12, 0, 0, 30, 0, 24, 2, 0, 24, 0, 12, 2, 0, 30, -12, 36, 0, 0, 0, -6, -33, -4, 0, 0, -12, 36, 24, 0, -8, -6, 0, -36, 0, -12, -30, 0, 12, 0, 6, -36, -16, 48, 0, 12, 0, 48, 32, 0, 0, 36, 0, 0, 0, 8, 12, -44, 6, 0, 0, -24, 6, 0, 0, -42, -12, 0, 6, 0, 36, 0, 12, 48, 0, -30, 0, 36, 14, 0, -14, 0, -4, 12, 0, 0, 24, -36, 0, 0, 12, 20, -2, 0, 0, 0, -17, 0, -2, 0, -14, 26, 0, 13, 0, 0, 12, 42, 18, 0, -30, 24, -8, 6, 0, 0, 0, 16, 36, 0, 4, 4, 0, 0, 0, 32, -8, 24, 0, 0, 0, 20, -18, -24, 0, -40, 4, 0, 0, 0, 8, 0, 34, 0, 0, 0, 6, -38, 6, 0, -18, 0, -6, -48, 0, 4, 0, -24, 7, 0, -24, -12, 2, 12, 0, 0, 6, 0, -18, 0, 24, -12, 0, 0, 0, 8, -16, -12, 24, 0, 0, -36, -18, 30, 0, 30, 0, -12, 12, 0, 0, 36, 24, 0, 0, -20, -4, -42, 18, 0, 0, -4, -6, 6, 0, -24, 0, 0, 8, 0, 12, -24, -12, -46, 0, 7, 36, -16, 12, 0, -8, 0, -12, 44, 0, -36, 4, 54, 0, 0, -18, -24, 0, 36, 0, 0, -10, 8, -20, 0, -16, 34, 0, 0, 0, 0, 36, -6, 36, 0, -12, 6, -8, 52, 0, -42, 7, 2, 0, 0, -6, -42, 36, 0, 0, -22, 24, -48, 40, 0, 0, 0, -16, 36, 0, 0, -16, 0, 0, 0, -36, -10, 4, -6, 0, -48, -12, 8, 30, 0, -12, 0, 0, -24, 0, 24, -4, 0, 0, 0, 24, 6, 30, 16, 0, 42, 24, 48, 18, 0, 0, -56, 0, 16, 0, -28, 24, 48, 2, 0, 12, -28, 0, 0, 0, 4, 0, 24, -12, 0, 10, 24, 22, 0, 0, 5, 0, -6, 0, 0, 0, 48, -21, 0, 0, 12, -10, 0, 0, 0, -6, 34, 24, 16, 0, 12, 12, 16, -48, 0, 0, 0, 0, -36, 0, -16, 30, -60, 0, 0, 8, -60, 6, -24, 0, 0, 32, 0, 12, 0, 6, -72, 0, -48, 0, 64, -12, -12, 0, 0, 6, 0, 20, -46, 0, 12, 0, 24, 23, 0, 24, 0, 0, 0, 0, 24, 36, 6, -16, 0, 0, 0, 24, -32, 0, 12, 30, 0, 6, 0, 42, 24, -36, 6, 0, -30, 6, 0, 0, 0, 20, 0, -13, -28, 0, -44, 2, -42, 0, 0, 0, -12, 16, 18, 0, 0, -12, 36, -24, 0, -18, -4, 14, 0, 0, 48, -12, -34, -6, 0, 4, 24, 0, -7, 0, -36, 0, -4, -18, 0, -6, 2, -6, 0, 0, 36, -36, 40, 12, 0, 0, 32, -12, 30, 0, -12, 12, 0, 14, 0, 6, -12, 0, 8, 0, 12, 0, 36, -8, 0, 30, -42, -48, -24, 0, 0, 22, 12, 0, 0, -2, -36, -18, 0, 0, 0, 12, 2, 0, 0, 0, 36, 0, 16, 0, 22, 3, -48, -18, 0, 17, 0, -12, -36, 0, -24, 0, 44, -12, 0, -24, -12, 6, 0, 0, 20, 26, 0, -20, 0, 42, -12, -36, -12, 0, 28, -4, 0, 30, 0, 22, -18, -8, -48, 0, -36, 60, -24, -48, 0, 0, 0, 24, 24, 0, 0, 6, -32, 0, 0, -12, 0, -54, 0, 0, 0, -12, 44, 18, 0, -42, 46, 0, 72, 0, 24, 0, -54, 0, 0, 30, 48, 12, 68, 0, -64, 0, -2, -34, 0, 12, -18, 18, 0, 0, 0, -24, 0, 24, 0, 0, 36, 0, -26, 0, 4, 8, 0, -24, 0, 36, -24, 0, -2, 0, 0, -30, 72, 0, 0, -24, 0, 2, 32, 0, -48, -72, -72, 0, 0, 12, 60, -2, 6, 0, 0, -30, 30, -12, 0, -36, 0, 0, 8, 0, -12, 0, -20, 6, 0, 11, 16, 4, -32, 0, -66, 0, 26, 36, 0, -36, 28, 24, 0, 0, 72, -40, 0, 6, 0, 0, -16, 36, -2, 0, 24, 12, -28, -30, 0, 0, 14, -4, -12, 0, -36, 6, 36, 36, 0, 48, 0, -48, 0, 0, 20, -12, 0, 0, 0, -48, -32, 32, -12, 0, 0, 0, -32, -36, 0, 0, -12, 0, -18, 0, 18, -8, -48, 12, 0, 44, -32, -18, -1, 0, 60, 0, 22, 24, 0, 30, 0, 0, 0, 0, -50, 42, -8, 36, 0, 0, 36, 6, 48, 0, 0, -12, 0, 0, 0, 12, 4, -48, -30, 0, 36, 30, 36, 0, 0, -36, 0, 6, 64, 0, 0, -14, 12, 0, 0, 12, 0, -12, 24, 0, 42, 0, 24, -8, 0, 36, -18, 0, 62, 0, 48, -36, -24, -20, 0, -2, 44, 0, -48, 0, -24, 0, 0, -17, 0, 0, 10, 6, 0, 0, -46, -14, -36, -26, 0, 0, -48, -13, -52, 0, 0, 0, 0, -36, 0, -42, 12, 18, 0, 0, 42, 42, 24, -24, 0, -8, 0, -6, 0, 0, -42, 0, -42, 0, 0, -16, -56, -12, 0, 0, 0, 4, -10, -4, 0, 0, 12, 0, -36, 0, 0, -32, 16, -40, 0, -24, -4, 0, 12, 0, 24, 0, 0, -20, 0, -18, -48, 24, 42, 0, 0, 40, -44, 4, 0, 0, 40, 0, 8, 0, 36, 8, 0, 0, 0, -22, -72, 0, 66, 0, 72, 0, -22, -18, 0, 38, 0, 6, -36, 0, -32, 6, -10, 0, 0, -6, 12, 48, -24, 0, 0, -4, 60, 0, 0, 24, -72, 35, 84, 0, -70, -24, 0, 12, 0, -6, -24, -12, 66, 0, 0, 0, -18, -2, 0, 0, -26, -18, 0, 0, 36, -72, -8, 12, 0, 0, -30, 0, 0, 0, -32, -8, 0, -16, 0, 12, 64, -72, -54, 0, -12, 0, 36, 36, 0, 6, 28, -30, 38, 0, 30, -30, -24, 0, 0, 12, -12, 12, 2, 0, 0, 0, 12, -36, 0, 24, 12, 0, 40, 0, -36, 20, -72, -4, 0, 42, 24, -6, 0, 0, 0, 0, -72, 4, 0, 18, 42, -6, 0, 0, -36, 24, 46, 0, 0, 0, -30, 8, -12, 0, 28, -36, 0, 24, 0, -12, 0, 46, -36, 0, 23, -7, 0, 36, 0, 16, 0, -36, 60, 0, -48, -8, 36, 0, 0, -60, 14, -44, 60, 0, 0, 36, 0, -12, 0, -54, -36, 0, -4, 0, 12, 6, 24, 24, 0, 0, 0, -36, 0, 0, 40, 0, -12, -10, 0, -8, 24, 28, 0, 0, -36, -16, 36, -34, 0, 0, -6, 0, -48, 0, 18, 0, 0, -12, 0, 6, -36, 36, -48, 0, 0, 36, 18, -6, 0, -8, 0, -52, -32, 0, -40, 42, -48, 7, 0, -2, -72, 0, -36, 0, 0, -6, -2, 42, 0, -12, 32, 0, 44, 0, 0, 22, 0, -72, 0, 48, 52, 40, -12, 0, -24, 0, 24, 0, 0, -16, 48, -36, 0, 0, 24, 0, 12, -16, 0, 0, 0, 0, 48, 0, -36, -36, 42, 10, 0, -12, 0, 6, 0, 0, 36, 48, -78, -60, 0, -8, 0, 30, 12, 0, -18, 36, 0, 0, 0, 0, 32, 24, 60, 0, 0, -24, 36, -4, 0, 0, 6, 0, -7, 0, -68, 24, 0, -6, 0, -42, 36, -16, 0, 0, 12, -42, -66, -72, 0, -48, -36, 18, 0, 0, 0, 0, 16, 56, 0, 0, 14, -16, -78, 0, -12, 28, 0, 24, 0, -48, 0, 10, -6, 0, -36, 12, -60, 28, 0, 0, 0, 0, -12, 0, 54, -4, 24, 0, 0, -24, -30, -12, 24, 0, 0, -30, 46, -24, 0, 22, 8, 0, 36, 0, 0, -5, -60, 0, 0, 6, 64, 0, -72, 0, -62, 0, 36, -48, 0, 7, 0, 0, 0, 0, 12, -12, -72, 30, 0, 0, 8, 0, 30, 0, 64, -30, 0, -34, 0, 24, -36, -16, -72, 0, -72, -12, 0, 12, 0, -16, 0, 16, -24, 0, -24, 0, 36, 0, 0, 0, 72, 36, -60, 0, 0, 16, 24, -42, 0, 60, -12, 0, 0, 0, 4, -24, -24, 60, 0, 6, -70, 24, 16, 0, 72, 0, 78, 32, 0, 0, -24, -36, -56, 0, 76, 6, -24, 72, 0, 0, -78, 48, -96, 0, -48, -64, 0, 36, 0, 12, 54, 0, -14, 0, -72, -2, 36, 0, 0, 20, 0, 46, -62, 0, 0, -12, -4, 0, 0, -24, 48, -45, 88, 0, 0, 24, 52, 0, 0, 0, 0, 0, -12, 0, 12, -24, 18, -12, 0, -6, 0, -16, 68, 0, -72, 0, 84, 0, 0, 24, -72, 32, 0, 0, -6, -12, -50, 30, 0, 0, 16, -18, 30, 0, 0, 42, 0, -24, 0, 12, -24, -6, -70, 0, 0, 30, 60, -18, 0, 0, 42, 0, -72, 0, -86, -28, 18, 0, 0, -13, 36, 28, 0, 0, 0, 44, -12, 2, 0, 42, -24, 0, -78, 0, 28, 0, 0, 12, 0, -48, -54, -18, 72, 0, -90, 0, -72, -60, 0, -36, 0, -24, 0, 0, -10, 54, 26, 4, 0, 14, 0, 0, 0, 0, 42, -48, 0, -12, 0, 34, -4, 18, 0, 0, 0, 4, 96, -24, 0, 0, 0, 7, -42, 0, -52, 36, 12, 0, 0, 4, -56, -18, -48, 0, 0, 2, 0, -2, 0, -6, 0, 0, -84, 0, -12, -36, -36, -36, 0, -40, 66, 60, 17, 0, -48, 0, 12, -32, 0, 36, -12, -30, 0, 0, 12, 12, 0, -4, 0, 0, 0, 14, -32, 0, -36, -18, 0, 12, 0, 0, 12, -8, 0, 0, 16, -12, 92, 0, 0, -36, 0, 24, 0, 0, -18, 30, -64, 42, 0, 16, -36, 24, -12, 0, 0, 0, 36, -66, 0, -12, 68, 0, -60, 0, -40, -10, 58, 36, 0, -18, 12, 0, -72, 0, 72, 0, 80, 12, 0, -2, 18, 0, 0, 0, 0, 0, -78, -36, 0, 0, 72, -16, 42, 0, 0, -22, -56, -17, 0, 48, 0, -18, -4, 0, 8, -51, 0, 0, 0, -12, 0, 36, 76, 0, -24, 24, -36, 0, 0, -44, 0, 36, 0, 0, 0, -24, 74, 12, 0, 30, 96, 0, -12, 0, 6, -20, -8, -78, 0, 0, 60, -20, 66, 0, 70, -14, 0, 12, 0, -36, 60, 12, 0, 0, 24, -28, 0, -4, 0, 0, -6, -42, 36, 0, 6, 22, 0, 18, 0, 24, -66, 48, 0, 0, 20, 36, 46, -20, 0, 24, 0, -48, -42, 0, 24, 0, 24, 0, 0, 24, 0, -24, 58, 0, 49, 0, 32, 6, 0, 32, -24, 0, 24, 0, 62, -12, -12, 0, 0, 18, -48, 0, -16, 0, 18, 0, -64, 36, 0, -44, -60, 18, 0, 0, 0, -18, -60, -46, 0, 0, -90, -72, 6, 0, -66, -24, 0, 0, 0, 54, -18, 0, 0, 0, -72, 30, -48, -48, 0, -36, 0, -68, -14, 0, -36, 64, 40, 0, 0, 2, -18, -34, 84, 0, 0, -36, -24, 18, 0, 18, -70, 0, -72, 0, 8, 0, 0, -24, 0, 0, -12, -72, 72, 0, 96, 0, 12, -36, 0, 0, -8, 26, 0, 0, 48, -4, -48, -24, 0, 0, 72, -24, 0, 0, 66, -12, 0, 24, 0, 0, 92, 2, 24, 0, 38, 0, -14, -30, 0, -72, 0, 0, 8, 0, -60, -24, 0, 0, 0, -6, 12, -32, -52, 0, 0, 48, 8, 24, 0, 72, -22, 0, -30, 0, -24, -36, 72, -60, 0, -2, 60, -6, -108, 0, 0, 0, -48, -30, 0, -30, 0, 36, 0, 0, 48, -36, -24, 0, 0, 0, -72, -8, 58, 0, -48, 12, 0, 0, 0, 20, 0, 6, -16, 0, 48, 55, 6, -16, 0, 4, -84, 32, 0, 0, -17, 66, 12, 0, 0, -26, 0, -12, -42, 0, 0, -36, 0, -28, 0, -72, 24, 0, -24, 0, -20, -72, -36, 56, 0, 0, -12, 6, -20, 0, -12, 0, -70, 16, 0, 36, -26, 2, 0, 0, -24, -24, 84, 12, 0, 28, 0, 90, -4, 0, 0, 0, 0, -14, 0, -20, -14, 12, 102, 0, 84, 36, 32, -18, 0, -36, 0, 36, 0, 0, -54, -16, 20, 0, 0, -48, 76, 0, 96, 0, 0, -20, -36, -12, 0, 0, 78, 0, -48, 0, 0, -48, 26, 32, 0, -96, -72, 12, -50, 0, 36, 0, 0, 0, 0, 32, -62, -36, 0, 0, 14, 0, 40, 12, 0, 0, 0, 18, 6, 0, 20, -18, 0, -8, 0, 48, -24, -36, 66, 0, 60, 44, 96, 32, 0, 6, 0, 1, -16, 0, 20, -60, 0, 0, 0, -22, 96, 24, -36, 0, 0, -42, -48, 0, 0, 0, 48, 0, -48, 0, -24, 50, -12, 42, 0, 8, -24, -12, 0, 0, 0, 0, -16, -36, 0, -18, -10, -48, 0, 0, 24, 0, -42, -60, 0, 0, -32, 0, -4, 0, -72, -36, -84, -4, 0, -48, -18, 30, -24, 0, 80, -36, 60, 30, 0, -36, 0, 0, 91, 0, 112, -36, 36, 0, 0, -34, -8, -64, 22, 0, 0, 0, 56, 42, 0, -12, 0, 0, -96, 0, -120, -4, -48, 0, 0, -12, 84, -24, 0, 0, 56, -42, -42, 0, 0, -24, 0, -40, 0, 0, 44, 36, -2, 18, 0, 0, 24, -62, -48, 0, -18, -48, 0, 12, 0, 24, 48, -20, 108, 0, -12, 6, 0, -44, 0, 0, 0, 48, 38, 0, -72, 24, -10, 0, 0, 0, -10, 51, -24, 0, 14, 0, -12, -10, 0, -2, -98, 0, 0, 0, -96, 46, 54, 42, 0, 36, 0, -26, -90, 0, 16, 0, -24, 48, 0, -13, 30, 52, 0, 0, 12, 0, 0, 0, 0, 0, 8, 12, 36, 0, -68, -42, 0, -12, 0, -54, -32, 0, -60, 0, 0, -42, 48, 18, 0, -24, 0, -24, -32, 0, 0, 24, 30, 0, 0, -6, 46, 0, 36, 0, 0, 42, -30, 0, 0, 42, 72, 0, -56, 0, -30, -16, 32, 56, 0, -60, 0, 0, 30, 0, 12, 0, -72, -12, 0, 10, -36, -4, -42, 0, 120, 0, -48, -12, 0, 0, 66, 36, -24, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "65.2.d.a", "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], [-2], [-1], [0], [2], [0], [3], [1], [0], [2], [2], [0], [0], [0], [-1], [0], [-1], [-6], [0], [0], [-2], [6], [-6], [0], [0], [4], [0], [-6], [0], [-6], [-5], [-4], [0], [0], [-1], [-6], [6], [0], [0], [8], [0], [-6], [-2], [0], [-6], [8], [2], [-7], [0], [0], [0], [12], [-4], [0], [0], [12], [6], [-2], [0], [6], [6], [0], [7], [0], [4], [12], [0], [-12], [0], [2], [3], [-6], [6], [0], [6], [0], [0], [0], [0], [-11], [-8], [4], [0], [0], [6], [12], [6], [8], [0], [0], [-6], [12], [-8], [0], [10], [-6], [7], [2], [0]]}