# Stored data for newform 3630.2.a.f, downloaded from the LMFDB on 19 April 2024.
{"label": "3630.2.a.f", "space_label": "3630.2.a", "level": 3630, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170410542, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 974302757741969446, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [0, 1]], [13, [6, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14520, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 28.98569593372478, "hecke_ring_index": 1, "level_radical": 330, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [3630, 1, [1211, 727, 3511], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.003", "prec": 17}, {"__RealLiteral__": 0, "data": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.077", "prec": 17}, {"__RealLiteral__": 0, "data": "5.045", "prec": 17}], "related_objects": ["EllipticCurve/Q/3630/f"], "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], [11, -1]], "trace_display": [-1, -1, 1, 0], "traces": [0, 1, -1, -1, 1, 1, 1, 0, -1, 1, -1, 0, -1, -6, 0, -1, 1, -2, -1, 4, 1, 0, 0, 0, 1, 1, 6, -1, 0, 10, 1, 0, -1, 0, 2, 0, 1, 6, -4, 6, -1, -2, 0, -4, 0, 1, 0, -8, -1, -7, -1, 2, -6, -10, 1, 0, 0, -4, -10, -4, -1, 2, 0, 0, 1, -6, 0, -4, -2, 0, 0, -8, -1, -2, -6, -1, 4, 0, -6, 8, 1, 1, 2, 12, 0, -2, 4, -10, 0, -6, -1, 0, 0, 0, 8, 4, 1, 18, 7, 0, 1, -14, -2, 16, 6, 0, 10, 4, -1, -14, 0, -6, 0, 2, 4, 0, 10, -6, 4, 0, 1, 0, -2, 2, 0, 1, 0, -8, -1, 4, 6, -20, 0, 0, 4, -1, 2, -6, 0, -4, 0, 8, 8, 0, 1, 10, 2, 7, 6, 18, 1, 16, -4, -2, 0, 0, 6, -18, -8, 10, -1, 0, -1, -20, -2, 0, -12, -24, 0, 23, 2, 4, -4, -14, 10, 0, 0, 4, 6, -12, 1, -10, 0, -2, 0, 6, 0, 0, -8, 0, -4, 0, -1, -10, -18, 6, -7, -6, 0, 8, -1, 4, 14, 0, 2, -2, -16, 0, -6, 0, 0, 20, -10, 8, -4, -4, 1, 0, 14, 2, 0, 12, 6, 24, 0, 1, -2, -4, -4, -26, 0, 0, -10, 6, 6, -8, -4, -8, 0, -16, -1, -18, 0, -1, 2, -7, -2, -24, 0, -12, -1, -4, 0, 0, 8, 2, 1, -14, -4, 0, -6, 10, 20, -24, 0, -10, 0, 6, -4, -2, 1, 8, -2, 0, 6, 0, 0, 18, 4, 0, 0, -18, -8, 12, -8, -4, 0, 0, -1, -13, -10, -18, -2, -6, -7, -4, -6, 0, -18, 0, -1, 0, -16, 14, 4, 2, 2, 20, 0, -16, 0, 24, -6, -6, 18, 0, 8, -34, -10, 0, 1, -4, 0, -8, 1, -6, 20, 14, 2, 0, 0, -4, 12, 6, 24, -4, 0, -10, -23, -2, -2, 0, -4, 0, 4, 0, 14, -12, -10, -30, 0, 6, 0, -14, -4, -8, -6, 0, 12, 8, -1, -3, 10, 0, 0, -2, 2, -8, 0, -2, -6, 0, 0, 18, 0, -1, 8, -60, 0, 12, 4, 8, 0, -8, 1, 0, 10, -4, 18, 6, -6, 0, 7, 20, 6, 8, 0, -2, -8, 0, 1, 2, -4, 0, -14, 1, 0, 0, -2, -10, 2, 6, 16, 0, 0, 12, 6, 4, 0, 36, 0, 38, -20, -8, 10, -2, -8, 0, 4, 0, 4, -16, -1, 2, 0, -10, -14, 0, -2, -32, 0, -7, -12, 4, -6, -6, -24, -18, 0, -30, -1, 0, 2, -16, 4, 0, 4, -18, 26, 2, 0, -6, 0, 40, 10, 0, -6, -4, -6, 0, 8, 18, 4, 0, 8, 4, 0, -10, 16, 0, 1, -36, 18, 0, 0, 18, 1, 0, -2, 20, 7, 36, 2, -20, 24, 0, 0, 0, 12, 20, 1, 24, 4, -24, 0, -14, 0, -23, -8, 14, -2, 0, -1, -4, 14, 16, 4, 0, 0, 14, 6, -38, -10, -20, -20, 0, 24, 0, 0, -23, 10, -4, 0, 12, -6, 4, 4, 12, 2, 0, -1, 2, -8, 10, 2, -14, 0, 4, -6, 2, 0, 40, 0, 0, -18, -6, -4, -30, 0, 24, 0, 0, 18, 12, 8, 2, -12, 0, 8, -18, 4, 12, 0, 0, 0, 0, 1, -46, 13, 10, 10, 0, 18, 0, 2, -6, 6, -12, 7, 0, 4, 6, 6, 46, 0, 0, 18, -8, 0, 24, 1, -42, 0, -4, 16, 0, -14, -40, -4, 0, -2, 48, -2, 2, -20, 2, 0, 26, 16, 44, 0, 0, -24, 0, 6, 1, 6, 0, -18, -12, 0, -24, -8, -20, 34, -8, 10, 42, 0, -8, -1, -30, 4, -20, 0, 4, 8, 48, -1, 0, 6, 0, -20, 14, -14, -20, -2, -2, 0, -36, 0, -10, 4, -12, -12, 0, -6, 0, -24, -24, 4, 0, 0, 22, 10, -1, 23, -22, 2, 0, 2, 4, 0, 20, 4, -6, 0, 26, -4, 60, 0, -44, -14, 0, 12, -4, 10, 4, 30, -6, 0, 26, -6, 24, 0, 8, 14, 0, 4, 38, 8, 8, 6, 0, 0, 0, -12, 16, -8, -32, 1, 0, 3, 18, -10, 10, 0, 32, 0, 1, 2, 8, -2, -6, 8, 7, 0, 0, 2, 20, 6, 24, 0, 24, 0, 18, -18, 12, 0, 0, 1, 32, -8, 4, 60, 16, 0, 38, -12, 0, -4, -18, -8, 0, 0, -2, 8, 24, -1, 46, 0, 14, -10, -26, 4, 0, -18, 0, -6, -8, 6, 0, 0, -10, -7, -18, -20, -28, -6, 24, -8, 0, 0, -12, 2, 10, 8, 30, 0, 16, -1, -6, -2, 0, 4, 0, 0, 2, 14, -18, -1, 44, 0, -8, 0, -20, 2, -16, 10, 0, -2, 18, -6, 32, -16, 0, 0, -44, 0, -2, -12, -18, -6, 14, -4, -24, 0, 0, -36, 24, 0, 71, -38, 18, 20, 23, 8, 0, -10, -12, 2, 0, 8, 50, 0, 4, -4, 22, 0, -36, -4, 0, 16, 24, 1, -14, -2, 13, 0, 0, 10, 24, 14, 18, 0, 0, 2, 58, 32, 6, 0, 2, 7, 12, 12, 4, -4, -56, 6, 0, 6, 0, 24, -32, 18, -12, 0, 0, 30, 0, 1, 20, 0, 0, -2, -10, 16, -12, -4, -14, 0, -48, -4, 0, 18, -2, -26, 0, -2, 32, 0, -20, 6, 48, 0, 6, -40, 16, -10, 50, 0, -28, 6, -24, 4, 0, 6, -2, 0, 6, -8, 10, -18, 0, -4, 0, 0, 12, -8, 12, -4, 34, 0, 6, 10, 0, -16, 0, 0, 0, -1, -31, 36, 4, -18, -10, 0, -48, 0, 8, -18, 12, -1, 0, 0, 6, 2, -30, -20, 0, -7, -14, -36, -48, -2, -6, 20, 0, -24, 0, 0, -32, 0, 4, 0, 8, -12, 2, -20, -6, -1, 0, -24, 8, -4, 4, 24, -40, 0, -50, 14, 10, 0, 54, 23, 0, 8, 2, -14, 20, 2, 30, 0, 0, 1, -2, 4, -48, -14, 0, -16, 24, -4, 14, 0, 0, 0, -4, -14, -48, -6, 12, 38, 0, 10, 0, 20, 30, 20, 10, 0, -20, -24, -6, 0, 20, 0, 0, 23, 14, -10, -42, 4, 0, 0, 8, -12, 0, 6, -30, -4, 0, -4, 60, -12, -4, -2, -8, 0, -72, 1, 0, -2, 3, 8, 0, -10, 8, -2, 0, 14, 60, 0, -10, -4, 2, 6, -42, -2, 0, 0, 8, -40, 40, 0, 12, 0, 2, 18, -26, 6, 0, 4, 0, 30, 24, 0, -38, -24, -18, 0, -16, 0, 28, -18, 1, -12, 0, -8, 38, -2, 60, 12, 0, 0, -4, -8, -12, 18, 8, -4, 0, -12, -8, 0, -26, 0, 0, 0, 8, 0, 0, -1, 18, 46, 0, -13, 36, -10, 8, -10, 4, 0, 20, -18, 6, 0, -6, -2, 0, 6, 4, -6, 0, 12, -8, -7, 0, 0, -20, -4, 62, -6, 0, -6, -8, -46, 12, 0, -20, 0, 2, -18, -6, 8, -16, 0, 0, -24, 0, -1, -2, 42, -2, 0, -18, 4, 16, -16, 0, 0, 0, 14, -2, 40, -1, 4, -2, 0, 0, 2, 0, -48, 56, 2, -7, -2, 10, 20, 10, -2, -24, 0, -6, -26, -24, -16, -42, -44, 0, 0, 4, 0, 0, 24, -12, 0, -40, -6, -2, -1, -4, -6, 0, 0, -4, 18, -36, 12, 44, 0, -108, 24, -38, 8, 0, 20, 0, -34, 8, 8, 0, -10, -16, -42, 2, 0, -2, 8, -16, 1, 0, 30, 60, -4, -14, 20, 0, 0, -18, -4, -52, -8, 16, -48, 0, 1, 22, 0, -2, -6, -26, 0, 16, 20, 10, -14, 36, 14, 0, 20, 0, 2, 84, 2, -24, 0, 32, 36, 8, 0, -22, 10, 7, -4, -10, 12, 72, 12, -4, 0, 0, 6, 0, 0, 6, 24, 0, 24, -96, -4, 18, 0, -16, 0, -2, -22, 30, -10, -32, 1, 0, -23, 0, 22, 8, -2, 0, 0, 16, -2, 6, -4, -80, 0, 0, -20, -48, -4, -1, 6, 18, 0, 30, -26, 0, 4, -2, -60, 0, 0, 42, 44, 6, 14, 18, 0, -8, -12, -40, 4, -24, -10, 0, -4, 0, -30, 0, 6, 32, 0, 4, -26, 0, 6, -18, -24, 0, 0, -14, -8, -24, -14, -18, 0, 12, -4, 84, -38, 0, -8, -70, -8, -8, -6, -4, 0, 44, 0, 26, 0, 10, 12, 74, -16, 0, 8, 0, 32, -16, -1, 0, 0, 36, -3, -13, -18, 64, 10, 0, -10, 20, 0, 62, -32, -18, 0, 0, -1, 20, -2, 0, -8, 0, 2, -6, 6, -20, -8, -12, -7, -40, 0, -36, 0, -4, -2, 0, -20, 20, -6, -18, -24, -44, 0, 0, -24, 32, 0, -14, -18, 0, 18, -54, -12, 0, 0, -20, 0, 76, -1, 32, -32, -24, 8, 0, -4, 0, -60, 24, -16, 24, 0, 12, -38, 14, 12, -12, 0, 0, 4, 23, 18, -4, 8, 2, 0, -14, 0, 0, 2, 60, -8, 0, -24, 20, 1, -100, -46, 4, 0, 0, -14, 64, 10, -16, 26, 0, -4, 46, 0, 0, 18, 30, 0, 24, 6, -14, 8, -8, -6, 0, 0, 38, 0, -6, 10, -40, 7, 20, 18, 36, 20, 0, 28, 0, 6, 48, -24, -20, 8, 0, 0, -16, 0, -34, 12, 23, -2, 0, -10, -24, -8, 4, -30, 0, 0, 10, -16, -12, 1, -10, 6, 0, 2, -4, 0, -32, -4, 10, 0, -12, 0, -30, -2, -8, -14, 0, 18, 44, 1, -10, -44, -2, 0, -6, 8, -36, 0, -10, 20, 0, -2, 0, 16, 14, -10, -26, 0, 0, 2, -4, -18, 0, 6, 0, -32, -2, 16, -36, 0, 48, 0, -40, 44, -4, 0, 14, 2, 0, 12, 0, 18, -56, 6, 6, -14, -20, 4, 10, 24, 30, 0, 0, 0, -4, 36, -24, -24, 0, 0, -37, -71, 0, 38, -10, -18, 0, -20, -12, -23, -24, -8, 26, 0, -2, 10, 18, 12, -28, -2, 0, 0, 120, -8, 0, -50, 18, 0, 62, -4, -40, 4, -12, -22, 0, 0, 28, 36, 0, 4, -54, 0, -68, -16, 0, -24, 0, -1, 0, 14, 46, 2, 42, -13, -12, 0, -10, 0, -48, -10, -50, -24, 0, -14, -30, -18, 60, 0, 0, 0, -32, -2, 10, -58, 6, -32, 0, -6, -40, 0, 12, -2, 8, -7, -14, -12, 0, -12, 20, -4, 0, 4, -6, 56, -8, -6, -26, 0, -46, -6, 36, 0, 0, -24, 0, 32, -44, -18, 2, 12, 8, 0, 0, 0, 8, -30, -24, 0, 0, -1, -58, -20, 42, 0, -3, 0, 24, 2, 4, 10, 60, -16, -42, 12, 0, 4, 0, 14, -8, 0, 40, 48, 16, 4, -2, 0, 0, -18, 0, 2, -56, 26, -48, 0, -8, 2, 0, -32, -2, 0, 0, 20, 72, -6, -2, -48, -40, 0, -27, -6, -26, 40, 28, -16, 0, 10, -44, -50, 0, 0, 42, 28, 0, -6, 18, 24, 28, -4, 0, 0, 32, -6, -62, 2, -1, 0, -70, -6, -56, 8, 0, -10, 0, 18, -60, 0, 12, 4, 54, 0, 0, 0, 24, -12, 12, 8, 0, -12, 20, 4, 46, -34, 0, 0, 8, -6, 12, -10, 0, 0, -42, 16, -10, 0, -8, 0, 8, 0, -56, 1, -4, 31, 30, -36, 0, -4, 16, 18, 20, 10, -28, 0, -22, 48, -4, 0, -108, -8, 0, 18, -48, -12, -40, 1, 6, 0, 0, 0, 42, -6, 48, -2, 0, 30, 0, 20, 64, 0, -14, 7, -60, 14, -96, 36, 20, 48, 0, 2, 0, 6, 2, -20, -42, 0, 8, 24, 36, 0, -60, 0, 0, 32, 10, 0, -2, -4, 68, 0, 12, -8, 0, 12, 30, -2, 0, 20, 2, 6, 56, 1, 0, 0, -84, 24, 2, -8, 24, 4, 14, -4, -68, -24, 0, 40, 0, 0, 34, 50, -22, -14, 32, -10, 0, 0, 1, -54, -28, -23, -82, 0, 22, -8, 16, -2, 0, 14, 0, -20, -72, -2, 108, -30, -4, 0, -10, 0, 0, -1, -20, 2, 0, -4, 2, 48, 6, 14, 0, 0, -80, 16, -26, -24, 16, 4, 0, -14, -60, 0, -10, 0, -56, 0, 44, 4, 12, 14, 0, 48, 0, 6, -10, -12, 76, -38, 4, 0, 8, -10, -10, 0, -4, -20, 0, -30, 36, -20, 6, -10, 68, 0, 0, 20, -26, 24, 38, 6, 28, 0, -24, -20, 32, 0, -78, 0, -8, -23, -20, -14, 120, 10, 0, 42, 0, -4, -2, 0, -38, 0, 22, -8, -44, 12, -8, 0, 0, -6, 74, 30, 0, 4, -70, 0, 8, 4, 0, -60, 8, 12, 0, 4, -16, 2, 6, 8, -16, 0, 32, 72, 16, -1, 50, 0, 0, 2, 2, -3, 0, -8, -18, 0, 144, 10, 20, -8, -10, 2, 0, 0, 20, -14, -32, -60, -24, 0, 0, 10, -1, 4, 0, -2, 0, -6, -8, 42, -32, 2, -60, 0, 6, 0, 0, -8, -12, 40, -7, -40, 0, 0, 17, -12, 0, 0, -6, -2, 4, -18, -20, 26, 0, -6, 34, 0, -24, -4, -6, 0, 40, -30, -24, -24, 0, 0, 0, 38, -18, 24, 62, 18, -8, 0, -12, 16, 44, 0, -30, -28, 0, 18, 84, -1, -52, 12, -32, 0, 0, 8, 12, -38, -4, 2, 0, -60, 0, -12, -16, 0, -12, 0, -66, 4, -38, 8, -50, 12, 0, -18, 0, -8, 40, 4, -22, 0, 18, 12, -18, 8, -8, 0, 0, 26, 80, 0, -26, 0, 2, 0, -86, -8, 0, 0, -24, 0, 56, 1, -6, -18, -46, -46, -62, 0, -72, 13, -14, -36, 40, 10, 0, -8, 26, 10, 0, -4, 0, 0, 0, -20, 72, 18, 12, -6, 0, 0, 30, 6, -4, 2, 8, 0, -20, -6, -26, -4, 0, 6, 0, 0, 68, -12, 10, 8, -32, 7, 60, 0, 18, 0, 54, 20, 0, 4, 28, -62, 8, 6, 0, 0, -24, 6, 0, 8, -76, 46, 0, -12, 4, 0, 74, 20, 12, 0, -2, -2, -8, 18, -10, 6, 0, -8, 74, 16, -30, 0, -42, 0, 0, 24, -16, 0, -64, 1, 49, 2, 6, -42, -36, 2, 120, 0, 0, 18, -44, -4, -32, -16, 0, 16, 46, 0, 8, 0, -2, 0, -64, -14, 18, 2, 18, -40, 0, 1, 0, -4, -44, 2, 0, 0, 50, 0, 8, -2, -18, 0, 0, 48, 20, -56, 40, -2, 0, 7, 16, 2, 0, -10, 36, -20, 0, -10, -44, 2, 0, 24, -18, 0, -20, 6, 12, 26, -32, 24, 0, 16, -38, 42, 0, 44, -30, 0, -24, 0, 44, -4, 0, 0, 0, 0, 2, -24, -80, 12, 80, 0, 18, 40, 20, 6, 0, 2, -14, 1, -4, 4, -80, 6, 24, 0, 0, 0, 60, 4, 0, -18, 0, 36, -24, -12, -24, -44, 0, 0, -10, 108, -71, -24, -14, 38, 0, -8, -18, 0, 20, -20, -36, 0, -23, 34, 16, -8, -20, -8, 0, 0, 48, 10, 14, 16, 12, 42, 2, -2, -80, 0, 0, 2, 0, -8, -18, 16, -50, -1, 36, 0, 0, -30, -4, -60, -32, 4, 0, 14, -22, -20, 0, 0, 16, 0, 36, 18, -12, 4, -60, 52, 0, 8, 0, -16, -48, 48, -24, 0, 48, -1, 38, -22, 14, 0, 70, 2, 0, 6, -13, 26, -24, 0, -38, -16, 0, -20, 54, -10, 0, 14, -24, -36, -20, -14, -34, 0, -18, -20, 30, 0, -8, -2, 0, -84, -48, -2, 0, 24, -58, 0, -38, -32, 0, -36, -6, -8, 0, 0, -16, 22, -2, -10, -23, -7, 32, 4, -12, 10, 0, -12, 0, -72, -4, -12, -50, 4, 36, 0, 56, 0, 16, -6, 12, 0, 0, 0, 36, -6, -64, -24, 0, 0, 4, -24, 38, 96, 32, 4, 0, -18, -68, 0, 12, 16, -40, 0, 98, 2, 0, 22, 6, -30, 0, 10, 0, 32, -36, -1, -12, 0, -20, 23, 2, 0, 44, -22, 0, -8, 88, 2, -2, 0, 10, 0, 0, -16, -88, 2, 12, -6, 0, 4, -14, 80, 14, 0, -54, 0, -52, 20, 48, 48, 4, 4, 0, 1, 0, -6, 18, -18, -120, 0, 2, -30, 8, 26, 50, 0, 0, -4, 18, 2, 40, 60, -32, 0, 0, 0, 0, -42, 20, -44, 0, -6, 56, -14, -48, -18, 40, 0, 32, 8, -6, 12, 42, 40, 0, -4, -16, 24, 0, 10, -30, 0, -50, 4, -30, 0, 96, 30, 28, 0, 24, -6, 62, -32, 24, 0, 70, -4, -36, 26, 0, 0, 0, -6, 47, 18, 2, 24, 180, 0, 12, 0, -6, 14, -12, 8, 0, 24, -10, 14, 2, 18, 0, 0, 0, -12, 72, 4, -10, -84, 0, 38, 74, 0, 48, 8, -12, 70, -12, 8, -18, 8, -12, 6, 0, 4, 68, 0, -34, -44, 12, 0, -98, -26, -6, 0, -50, -10, 0, -12, 0, -74, -16, 16, 64, 0, 0, -8, -46, 0, 0, -32, 0, 16, 48, 1, 16, 0, 31, 0, -46, -36, 32, 3, -4, 13, 28, 18, 0, -64, 10, -10, 2, 0, -144, 10, 48, -20, -24, 0, 0, -62, -8, 32, -18, 18, 16, 0, -12, 0, 0, 1, -46, -20, 0, 2, 0, 0, 48, 8, -6, 0, 8, -2, -140, 6, 30, -6, 0, 20, -12, 8, 0, 12, -12, 7, 28, 40, 14, 0, 0, 36, 0, 0, 48, 4, 24, 2, 10, 0, 6, 20, -18, -20, 0, 6, 0, 18, -52, 24, 46, 44, 0, 0, -2, 0, 28, 24, 32, -32, 0, 0, 156, 14, -4, 18, 0, 0, -72, -18, -8, 54, 160, 12, -14, 0, -2, 0, 4, 20, 24, 0, 6, -76, 40, 1], "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": "330.2.a.d", "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], [1], [1], [0], [-1], [1], [-1], [0], [-1], [-6], [0], [-1], [1], [-2], [-1], [4], [1], [0], [0], [0], [1], [1], [6], [-1], [0], [10], [1], [0], [-1], [0], [2], [0], [1], [6], [-4], [6], [-1], [-2], [0], [-4], [0], [1], [0], [-8], [-1], [-7], [-1], [2], [-6], [-10], [1], [0], [0], [-4], [-10], [-4], [-1], [2], [0], [0], [1], [-6], [0], [-4], [-2], [0], [0], [-8], [-1], [-2], [-6], [-1], [4], [0], [-6], [8], [1], [1], [2], [12], [0], [-2], [4], [-10], [0], [-6], [-1], [0], [0], [0], [8], [4], [1], [18], [7], [0], [1]]}