# Stored data for newform 2925.2.a.c, downloaded from the LMFDB on 20 April 2024.
{"label": "2925.2.a.c", "space_label": "2925.2.a", "level": 2925, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288298349, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1103778505796200801, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [7, [2, 1]], [11, [-4, 1]]], "qexp_display": "q-q^{2}-q^{4}-2q^{7}+3q^{8}+4q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11700, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 23.35624259122451, "hecke_ring_index": 1, "level_radical": 195, "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": "0.029", "prec": 17}, "analytic_rank_proved": true, "char_values": [2925, 1, [326, 352, 2251], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.012", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "1.941", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "4.813", "prec": 17}], "related_objects": ["EllipticCurve/Q/2925/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [13, -1]], "trace_display": [-1, 0, 0, -2], "traces": [0, 1, -1, 0, -1, 0, 0, -2, 3, 0, 0, 4, 0, 1, 2, 0, -1, -4, 0, 6, 0, 0, -4, 0, 0, 0, -1, 0, 2, 4, 0, -10, -5, 0, 4, 0, 0, 2, -6, 0, 0, 6, 0, 8, -4, 0, 0, -8, 0, -3, 0, 0, -1, -4, 0, 0, -6, 0, -4, -12, 0, 2, 10, 0, 7, 0, 0, 10, 4, 0, 0, 0, 0, 6, -2, 0, -6, -8, 0, 12, 0, 0, -6, -4, 0, 0, -8, 0, 12, -14, 0, -2, 0, 0, 8, 0, 0, 14, 3, 0, 0, -12, 0, 4, 3, 0, 4, 4, 0, -2, 0, 0, 2, 16, 0, 0, -4, 0, 12, 8, 0, 5, -2, 0, 10, 0, 0, 8, 3, 0, 0, 16, 0, -12, -10, 0, -12, 10, 0, 12, 0, 0, 0, 4, 0, 0, -6, 0, -2, 18, 0, 10, 18, 0, 8, 0, 0, -18, -12, 0, 0, 0, 0, -6, -6, 0, 4, -24, 0, 1, 0, 0, -8, 24, 0, 0, -4, 0, 14, 0, 0, -10, 2, 0, 0, 0, 0, -16, 8, 0, 0, 12, 0, 26, -14, 0, 3, 18, 0, 8, 0, 0, 12, -8, 0, 0, -4, 0, -1, 24, 0, 0, 4, 0, -4, 0, 0, 20, 2, 0, 0, -4, 0, 14, 10, 0, -16, -20, 0, -10, 0, 0, 12, -8, 0, 0, 12, 0, -8, 0, 0, 22, -5, 0, -2, 0, 0, 6, -30, 0, 0, -12, 0, 0, -8, 0, -17, 8, 0, -4, 0, 0, -16, -4, 0, 0, 12, 0, -10, -12, 0, 14, 4, 0, -10, 0, 0, -10, -12, 0, 0, 30, 0, 4, 0, 0, -4, -12, 0, -1, 0, 0, -6, -2, 0, 0, 6, 0, -18, 0, 0, -16, -10, 0, -6, 0, 0, 22, 8, 0, 0, 4, 0, -2, 18, 0, -12, 18, 0, 16, 0, 0, 0, -24, 0, 0, 6, 0, 18, 16, 0, 18, 4, 0, 24, 0, 0, -14, -1, 0, 0, -40, 0, 20, 24, 0, -24, 32, 0, -6, 0, 0, -20, -6, 0, 0, 14, 0, 0, 16, 0, 17, 10, 0, 2, 0, 0, 8, 0, 0, 0, 8, 0, -22, 16, 0, -24, 4, 0, -2, 0, 0, -12, -24, 0, 0, -26, 0, -14, -8, 0, 0, -9, 0, -18, 0, 0, 18, -8, 0, 0, -22, 0, -10, 12, 0, 8, 8, 0, 30, 0, 0, -4, 24, 0, 0, -5, 0, -24, 16, 0, 22, 0, 0, -12, 0, 0, -4, -4, 0, 0, 40, 0, 2, -20, 0, 2, 0, 0, -36, 0, 0, 4, 20, 0, 0, -14, 0, -14, -30, 0, 24, -16, 0, 20, 0, 0, 22, 10, 0, 0, 14, 0, -18, -4, 0, 8, 8, 0, -20, 0, 0, -36, 32, 0, 0, -8, 0, 0, 24, 0, 2, -22, 0, -5, 0, 0, 22, 6, 0, 0, -36, 0, -16, -6, 0, 10, 0, 0, -38, 0, 0, 12, 12, 0, 0, 0, 0, -8, -42, 0, -12, 11, 0, -8, 0, 0, -32, 4, 0, 0, -12, 0, 12, -16, 0, 4, 40, 0, -23, 0, 0, 12, 6, 0, 0, 30, 0, 12, -12, 0, 14, -14, 0, 20, 0, 0, 36, -10, 0, 0, 24, 0, -24, 10, 0, -12, -26, 0, 8, 0, 0, -30, -4, 0, 0, -4, 0, 0, -28, 0, -12, -4, 0, 12, 0, 0, -38, 1, 0, 0, 8, 0, -16, 18, 0, 2, -20, 0, -60, 0, 0, -2, 14, 0, 0, -18, 0, 0, -8, 0, 10, 16, 0, -10, 0, 0, 8, -30, 0, 0, -8, 0, -6, -22, 0, -24, 18, 0, 22, 0, 0, -4, 28, 0, 0, 2, 0, 18, -8, 0, -14, 36, 0, -18, 0, 0, -3, -16, 0, 0, 40, 0, -14, 0, 0, 24, -28, 0, -48, 0, 0, 6, 0, 0, 0, -6, 0, -16, -36, 0, 26, -18, 0, -12, 0, 0, 0, 24, 0, 0, 8, 0, 18, 14, 0, -1, -36, 0, -28, 0, 0, 40, 4, 0, 0, -20, 0, -8, -4, 0, 34, -24, 0, -32, 0, 0, -24, 6, 0, 0, -40, 0, 12, 28, 0, 6, 24, 0, -50, 0, 0, -42, 0, 0, 0, 0, 0, -16, 20, 0, -8, -17, 0, 10, 0, 0, 24, -6, 0, 0, -32, 0, -34, -8, 0, 0, 40, 0, 30, 0, 0, -8, 24, 0, 0, 22, 0, 16, -8, 0, 20, 8, 0, -4, 0, 0, 34, 2, 0, 0, -18, 0, 4, -12, 0, 24, -12, 0, 2, 0, 0, -26, -50, 0, 0, 42, 0, 8, 36, 0, 0, 0, 0, 3, 0, 0, 22, -18, 0, 0, -32, 0, 2, -18, 0, -8, -12, 0, 32, 0, 0, 22, 24, 0, 0, 10, 0, -36, -28, 0, 30, 8, 0, -8, 0, 0, 48, -30, 0, 0, 10, 0, 4, 12, 0, -24, -20, 0, -2, 0, 0, 7, 12, 0, 0, -24, 0, -16, 40, 0, -13, -22, 0, 0, 0, 0, -10, 4, 0, 0, 0, 0, -30, 4, 0, 12, -48, 0, 16, 0, 0, -40, -48, 0, 0, -2, 0, -20, 48, 0, 10, -6, 0, 0, 0, 0, 42, 36, 0, 0, 28, 0, 4, 4, 0, -20, -56, 0, -16, 0, 0, -14, -48, 0, 0, -6, 0, 30, -40, 0, 16, -24, 0, 48, 0, 0, -44, 20, 0, 0, -12, 0, -16, -22, 0, 10, -32, 0, 44, 0, 0, -14, 0, 0, 0, 18, 0, -20, -10, 0, -18, 8, 0, -8, 0, 0, -54, 20, 0, 0, -6, 0, 0, 12, 0, -32, 12, 0, 6, 0, 0, 24, -48, 0, 0, 0, 0, -24, -20, 0, 69, -2, 0, -22, 0, 0, -58, 15, 0, 0, 52, 0, -24, -22, 0, -2, 54, 0, -56, 0, 0, 36, -16, 0, 0, 16, 0, -6, 0, 0, -48, 50, 0, 0, 0, 0, 58, 38, 0, 0, -8, 0, 48, 12, 0, -12, -24, 0, -10, 0, 0, 0, 40, 0, 0, 24, 0, 42, 44, 0, -46, 12, 0, 23, 0, 0, 12, -8, 0, 0, 28, 0, -34, 32, 0, 4, -8, 0, 28, 0, 0, 12, -36, 0, 0, -12, 0, 48, -16, 0, -26, 4, 0, -40, 0, 0, -20, 23, 0, 0, 10, 0, -12, -36, 0, -6, 56, 0, -10, 0, 0, -10, 8, 0, 0, 12, 0, 12, -4, 0, 0, -14, 0, -14, 0, 0, -10, -28, 0, 0, -40, 0, 34, -36, 0, 30, -2, 0, 36, 0, 0, -24, -24, 0, 0, 24, 0, 10, 24, 0, -48, 36, 0, 26, 0, 0, 42, -8, 0, 0, -72, 0, 46, -30, 0, 4, 0, 0, 46, 0, 0, -4, 16, 0, 0, 0, 0, 28, -40, 0, 12, 12, 0, 12, 0, 0, -20, 12, 0, 0, 64, 0, -34, 38, 0, 1, -14, 0, 12, 0, 0, -8, 36, 0, 0, 16, 0, -6, 48, 0, 20, 2, 0, 20, 0, 0, 16, 60, 0, 0, 18, 0, -2, -10, 0, -14, -36, 0, 24, 0, 0, 54, -56, 0, 0, 0, 0, 8, -8, 0, -22, -10, 0, 16, 0, 0, 0, 30, 0, 0, -48, 0, -2, -8, 0, 42, 6, 0, 0, 0, 0, 8, 24, 0, 0, 6, 0, -22, -2, 0, 40, 8, 0, -18, 0, 0, -34, -22, 0, 0, -24, 0, 64, -4, 0, -28, 32, 0, -46, 0, 0, 2, 0, 0, 0, -54, 0, 8, 60, 0, 14, 14, 0, -12, 0, 0, 20, -18, 0, 0, -60, 0, 60, 3, 0, -16, 44, 0, -34, 0, 0, -40, 52, 0, 0, 14, 0, 0, 18, 0, -52, 24, 0, 28, 0, 0, -30, 48, 0, 0, 8, 0, -4, -18, 0, 0, 12, 0, 32, 0, 0, -30, -12, 0, 0, -16, 0, 36, 0, 0, -14, -26, 0, -18, 0, 0, -20, 4, 0, 0, -24, 0, -80, 0, 0, -72, -24, 0, 4, 0, 0, -8, -48, 0, 0, -18, 0, 14, 0, 0, -52, 3, 0, 36, 0, 0, 0, 28, 0, 0, 64, 0, -32, 40, 0, -4, 56, 0, -33, 0, 0, -20, -50, 0, 0, -40, 0, 4, -36, 0, 10, -34, 0, 72, 0, 0, 36, -32, 0, 0, 4, 0, -16, 24, 0, 6, 32, 0, 46, 0, 0, 40, 0, 0, 0, -12, 0, 12, -38, 0, 16, 6, 0, -24, 0, 0, -2, 50, 0, 0, -12, 0, 46, 14, 0, 0, 32, 0, 62, 0, 0, 0, 4, 0, 0, -16, 0, -20, 48, 0, 64, 8, 0, -17, 0, 0, -72, -30, 0, 0, -4, 0, 58, -24, 0, 2, 80, 0, 28, 0, 0, 32, -48, 0, 0, 34, 0, -8, 16, 0, 2, 0, 0, -40, 0, 0, 0, -30, 0, 0, 24, 0, -4, -8, 0, -24, 0, 0, 70, 0, 0, 22, -2, 0, 0, -48, 0, 8, -48, 0, 72, -20, 0, 40, 0, 0, 40, -4, 0, 0, 60, 0, 56, -34, 0, 2, 12, 0, 30, 0, 0, 18, -20, 0, 0, -4, 0, 36, 48, 0, -28, 24, 0, 12, 0, 0, -16, -2, 0, 0, 0, 0, 36, 78, 0, 50, 8, 0, 34, 0, 0, -14, 6, 0, 0, 8, 0, -36, 20, 0, -28, 0, 0, 0, 0, 0, 38, 15, 0, 0, -4, 0, 5, -22, 0, 54, -24, 0, 30, 0, 0, 32, -48, 0, 0, -2, 0, -18, 40, 0, 16, 24, 0, 12, 0, 0, 38, -32, 0, 0, 46, 0, 20, 22, 0, -24, 0, 0, -74, 0, 0, 10, 0, 0, 0, 12, 0, 28, 12, 0, -30, -30, 0, -24, 0, 0, 6, -8, 0, 0, 16, 0, 0, -48, 0, -30, -44, 0, 72, 0, 0, -10, 40, 0, 0, -4, 0, -4, -56, 0, 8, -24, 0, 20, 0, 0, 66, 2, 0, 0, 40, 0, -24, 3, 0, -12, 0, 0, -42, 0, 0, 72, 0, 0, 0, -16, 0, -40, 0, 0, -5, 13, 0, -22, 0, 0, -44, 0, 0, 0, -84, 0, 34, 10, 0, 20, -66, 0, 8, 0, 0, 0, 16, 0, 0, 30, 0, 4, -26, 0, -48, -4, 0, 48, 0, 0, 48, -16, 0, 0, 54, 0, -18, -40, 0, 48, -72, 0, -12, 0, 0, -2, -48, 0, 0, 60, 0, -48, -16, 0, -46, -10, 0, 2, 0, 0, -70, 0, 0, 0, -16, 0, 62, -42, 0, 36, 24, 0, -4, 0, 0, -28, 48, 0, 0, -4, 0, -12, 8, 0, 0, -20, 0, 56, 0, 0, -22, 16, 0, 0, 10, 0, 42, 42, 0, 48, 4, 0, -14, 0, 0, 34, -24, 0, 0, 30, 0, 40, -16, 0, 18, -16, 0, -24, 0, 0, 12, -16, 0, 0, 36, 0, -6, 44, 0, -60, 0, 0, -16, 0, 0, 12, 8, 0, 0, 16, 0, -22, 120, 0, -66, -30, 0, 32, 0, 0, -96, -44, 0, 0, 8, 0, 84, -14, 0, 0, 24, 0, 21, 0, 0, 18, 8, 0, 0, 28, 0, 10, 4, 0, -54, 18, 0, -24, 0, 0, 14, -8, 0, 0, -56, 0, -66, 54, 0, 20, 38, 0, 18, 0, 0, 6, 24, 0, 0, 0, 0, 60, 52, 0, -20, -32, 0, -12, 0, 0, -28, -6, 0, 0, -24, 0, 96, -8, 0, 48, -56, 0, 0, 0, 0, 0, 70, 0, 0, -24, 0, 20, -72, 0, -64, -69, 0, -2, 0, 0, -48, 66, 0, 0, 12, 0, -50, 58, 0, -5, 18, 0, 20, 0, 0, -52, 40, 0, 0, 24, 0, -22, -40, 0, -48, -10, 0, -54, 0, 0, 24, 56, 0, 0, -8, 0, 10, 36, 0, 16, -60, 0, 0, 0, 0, 16, -28, 0, 0, 18, 0, 0, -60, 0, -8, 48, 0, -70, 0, 0, 46, 0, 0, 0, -40, 0, -34, -58, 0, 38, -62, 0, 28, 0, 0, 8, 24, 0, 0, -48, 0, -36, -18, 0, 20, -12, 0, 24, 0, 0, 78, 10, 0, 0, -64, 0, 2, 0, 0, -40, 60, 0, -14, 0, 0, -8, 24, 0, 0, 42, 0, -44, 8, 0, -18, 46, 0, 12, 0, 0, 0, -45, 0, 0, 4, 0, -70, -12, 0, 24, -20, 0, 0, 0, 0, -28, -36, 0, 0, 34, 0, 32, -42, 0, -12, -12, 0, 8, 0, 0, -100, -28, 0, 0, -60, 0, -64, 12, 0, 36, 48, 0, 22, 0, 0, -12, 0, 0, 0, -16, 0, 16, -28, 0, 48, 26, 0, -12, 0, 0, -24, -40, 0, 0, 0, 0, -66, 20, 0, 23, 24, 0, -6, 0, 0, -10, 104, 0, 0, 12, 0, 12, 0, 0, 40, -6, 0, -56, 0, 0, -78, 10, 0, 0, -48, 0, 58, -50, 0, -8, 96, 0, -44, 0, 0, -36, -82, 0, 0, 12, 0, 4, -32, 0, -6, 0, 0, -14, 0, 0, 72, 42, 0, 0, -24, 0, -24, 10, 0, -12, -8, 0, 42, 0, 0, 40, -24, 0, 0, -34, 0, -36, 32, 0, 4, -10, 0, 2, 0, 0, 1, -36, 0, 0, 0, 0, 34, -24, 0, 24, -12, 0, 17, 0, 0, 24, 56, 0, 0, -30, 0, -24, -36, 0, 22, 48, 0, -12, 0, 0, -64, 26, 0, 0, 0, 0, -32, -42, 0, -8, -72, 0, -12, 0, 0, 72, -36, 0, 0, -46, 0, 90, 24, 0, 30, 4, 0, 0, 0, 0, 4, -46, 0, 0, 48, 0, -60, 12, 0, -16, -36, 0, -14, 0, 0, 0, -14, 0, 0, 28, 0, 40, -32, 0, -2, -12, 0, 12, 0, 0, -52, -4, 0, 0, 48, 0, -46, 20, 0, -36, -24, 0, 30, 0, 0, -64, 24, 0, 0, 34, 0, 38, -30, 0, 20, -3, 0, 14, 0, 0, -36, -12, 0, 0, 0, 0, 0, -8, 0, -36, 0, 0, -40, 0, 0, 16, 66, 0, 0, -30, 0, -48, -64, 0, -78, -20, 0, -6, 0, 0, 58, 20, 0, 0, 0, 0, -10, -16, 0, 60, -20, 0, 28, 0, 0, -18, -48, 0, 0, 2, 0, 14, 0, 0, -22, -14, 0, 36, 0, 0, -2, -24, 0, 0, -62, 0, -8, -18, 0, 56, 80, 0, -86, 0, 0, 0, 72, 0, 0, 8, 0, 8, -80, 0, -19, 22, 0, -10, 0, 0, -16, -48, 0, 0, -12, 0, 48, 0, 0, -10, -24, 0, -72, 0, 0, 48, -24, 0, 0, 2, 0, -8, -64, 0, -16, 18, 0, -6, 0, 0, -78, 0, 0, 0, -48, 0, 12, 8, 0, -24, 4, 0, -120, 0, 0, 6, 56, 0, 0, 66, 0, 2, -60, 0, 0, -40, 0, 40, 0, 0, 72, -18, 0, 0, 12, 0, -86, 34, 0, -22, -14, 0, 20, 0, 0, 24, 12, 0, 0, -64, 0, 12, 96, 0, 32, -28, 0, -32, 0, 0, -80, 46, 0, 0, 12, 0, -30, -6, 0, 0, 0, 0, 26, 0, 0, 18, -32, 0, 0, 8, 0, -60, -40, 0, 46, -14, 0, 14, 0, 0, -34, -60, 0, 0, -80, 0, -72, -20, 0, 54, -96, 0, 16, 0, 0, 60, -24, 0, 0, -60, 0, 3, -16, 0, -44, 48, 0, -44, 0, 0, 30, 34, 0, 0, 18, 0, -32, -40, 0, -52, -40, 0, -16, 0, 0, 14, 40, 0, 0, 0, 0, -18, 84, 0, -56, 52, 0, -72, 0, 0, 8, 28, 0, 0, -40, 0, -46, 30, 0, 48, 12, 0, 0, 0, 0, -8, 60, 0, 0, 4, 0, 6, 24, 0, 44, 0, 0, -12, 0, 0, 70, -32, 0, 0, 18, 0, 16, 42, 0, 12, 0, 0, 0, 0, 0, 48, -38, 0, 0, 36, 0, 0, -8, 0, 72, 14, 0, -26, 0, 0, -26, 54, 0, 0, 88, 0, 4, 20, 0, 20, -42, 0, 26, 0, 0, 24, -16, 0, 0, 80, 0, 0, 72, 0, 10, 24, 0, 24, 0, 0, -6, -4, 0, 0, 48, 0, -10, -8, 0, 48, -12, 0, -58, 0, 0, -18, -74, 0, 0, -42, 0, 0, 36, 0, 12, 52, 0, -1, 0, 0, 88, 36, 0, 0, -24, 0, -74, 0, 0, 28, 24, 0, 10, 0, 0, -64, 16, 0, 0, 32, 0, -120, 0, 0, -40, -4, 0, -56, 0, 0, 0, 33, 0, 0, 78, 0, 0, 60, 0, 50, 60, 0, -14, 0, 0, 56, 92, 0, 0, 4, 0, 36, 140, 0, -48, -10, 0, -34, 0, 0, 6, -24, 0, 0, 24, 0, 96, -36, 0, 96, -18, 0, -36, 0, 0, -4, 0, 0, 0, 16, 0, 24, -18, 0, -92, -18, 0, -32, 0, 0, -34, -46, 0, 0, 18, 0, 6, 40, 0, 0, 44, 0, -37, 0, 0, -12, 56, 0, 0, -68, 0, 38, 36, 0, 20, -16, 0, -18, 0, 0, 32, -24, 0, 0, 108, 0, 6, 2, 0, 50, 36, 0, 96, 0, 0, 12, 0, 0, 0, -46, 0, 70, -16, 0, 8, 0, 0, -32, 0, 0, 34, -62, 0, 0, 72, 0, -60, 0, 0, -4, -16, 0, 60, 0, 0, 48, -4, 0, 0, -20, 0, -48, 48, 0, 80, -64, 0, 8, 0, 0, -28, 51, 0, 0, 36, 0, -16, 72, 0, 10, 46, 0, 14, 0, 0, 4, 8, 0, 0, -58, 0, -24, -12, 0, 0, 10, 0, -80, 0, 0, -38, -28, 0, 0, 0, 0, 24, 32, 0, 48, -104, 0, -48, 0, 0, 34, -32, 0, 0, 24, 0, -16, -8, 0, -96, -2, 0, 0, 0, 0, -44, -40, 0, 0, -20, 0, -46, 0, 0, -30, 102, 0, -48, 0, 0, -24, -32, 0, 0, 4, 0, 24, -62, 0, -70, -24, 0, 0, 0, 0, -10, -70, 0, 0, 56, 0, -108, -66, 0, 2, 16, 0, -6, 0, 0, 16, 36, 0, 0, 8, 0, 48, 52, 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": "585.2.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], [0], [-1], [0], [0], [-2], [3], [0], [0], [4], [0], [1], [2], [0], [-1], [-4], [0], [6], [0], [0], [-4], [0], [0], [0], [-1], [0], [2], [4], [0], [-10], [-5], [0], [4], [0], [0], [2], [-6], [0], [0], [6], [0], [8], [-4], [0], [0], [-8], [0], [-3], [0], [0], [-1], [-4], [0], [0], [-6], [0], [-4], [-12], [0], [2], [10], [0], [7], [0], [0], [10], [4], [0], [0], [0], [0], [6], [-2], [0], [-6], [-8], [0], [12], [0], [0], [-6], [-4], [0], [0], [-8], [0], [12], [-14], [0], [-2], [0], [0], [8], [0], [0], [14], [3], [0], [0]]}