# Stored data for newform 8001.2.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "8001.2.a.d", "space_label": "8001.2.a", "level": 8001, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915673921, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 398625099919213473, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [5, [4, 1]]], "qexp_display": "q+q^{2}-q^{4}-4q^{5}-q^{7}-3q^{8}-4q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32004, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 63.88830665722644, "hecke_ring_index": 1, "level_radical": 2667, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [8001, 1, [3557, 1144, 7750], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7, 127], "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": "1.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.998", "prec": 17}], "related_objects": ["EllipticCurve/Q/8001/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [127, -1]], "trace_display": [1, 0, -4, -1], "traces": [0, 1, 1, 0, -1, -4, 0, -1, -3, 0, -4, 0, 0, 2, -1, 0, -1, -6, 0, 2, 4, 0, 0, 0, 0, 11, 2, 0, 1, 10, 0, 6, 5, 0, -6, 4, 0, 10, 2, 0, 12, -10, 0, -4, 0, 0, 0, 6, 0, 1, 11, 0, -2, 6, 0, 0, 3, 0, 10, -12, 0, -6, 6, 0, 7, -8, 0, -12, 6, 0, 4, 0, 0, 14, 10, 0, -2, 0, 0, -12, 4, 0, -10, 0, 0, 24, -4, 0, 0, 8, 0, -2, 0, 0, 6, -8, 0, -4, 1, 0, -11, 0, 0, -14, -6, 0, 6, 0, 0, 10, 0, 0, 1, 2, 0, 0, -10, 0, -12, 6, 0, -11, -6, 0, -6, -24, 0, 1, -3, 0, -8, -18, 0, -2, -12, 0, 18, 6, 0, -4, -4, 0, 0, 0, 0, -40, 14, 0, -10, 6, 0, 8, -6, 0, 0, -24, 0, 10, -12, 0, -20, 0, 0, 8, 10, 0, 0, -8, 0, -9, 24, 0, 4, -20, 0, -11, 0, 0, 8, -8, 0, 16, -2, 0, 0, -40, 0, 0, -6, 0, -8, 0, 0, -14, -4, 0, -1, 6, 0, 22, -33, 0, 0, -10, 0, 40, -14, 0, -2, 0, 0, 0, -6, 0, 0, 16, 0, -6, 10, 0, 0, -12, 0, 20, -5, 0, 2, -6, 0, 16, 0, 0, -30, -10, 0, -24, 12, 0, 6, 16, 0, 24, -11, 0, 6, -4, 0, 4, -18, 0, -24, 6, 0, 0, 1, 0, -17, -12, 0, -10, 8, 0, -18, 4, 0, -24, -2, 0, 12, -18, 0, 2, 6, 0, 6, 0, 0, 6, -4, 0, -12, 14, 0, -20, 0, 0, 0, 10, 0, 19, -40, 0, -14, -12, 0, 48, -30, 0, 6, 0, 0, 4, 8, 0, -2, 24, 0, 16, 0, 0, -24, 0, 0, -4, 10, 0, 12, -26, 0, 0, -28, 0, 0, -12, 0, 22, 8, 0, 30, -6, 0, -20, 0, 0, -8, 48, 0, 30, -9, 0, -24, 0, 0, -1, 12, 0, -20, -28, 0, -16, -11, 0, 0, 18, 0, 0, -8, 0, -8, 0, 0, -15, 16, 0, 2, -56, 0, 2, 0, 0, -40, -6, 0, -34, 0, 0, -18, 20, 0, -12, 8, 0, 0, -6, 0, 0, -14, 0, 4, 6, 0, 0, -3, 0, 6, 48, 0, -34, 22, 0, -11, 22, 0, 12, 0, 0, -10, 0, 0, -36, 40, 0, 14, 12, 0, 0, 10, 0, 0, 18, 0, -18, 0, 0, -18, -66, 0, 6, 0, 0, 16, -24, 0, 14, -6, 0, -10, 0, 0, -28, 0, 0, -12, 4, 0, -32, 20, 0, -7, -10, 0, 0, -2, 0, -6, 8, 0, 10, 16, 0, 0, -20, 0, -16, -10, 0, -10, -24, 0, 12, -24, 0, 36, 0, 0, 22, -6, 0, 16, -38, 0, 20, 24, 0, 11, 16, 0, -8, 18, 0, -4, 36, 0, -60, 4, 0, -6, 0, 0, -20, 24, 0, 6, -6, 0, 0, 0, 0, -1, -6, 0, -14, -11, 0, -12, 56, 0, 0, -10, 0, 24, -14, 0, -42, 18, 0, 4, -36, 0, -23, -24, 0, 2, -20, 0, 0, 36, 0, -18, 0, 0, 46, 2, 0, -30, -40, 0, 28, -6, 0, 0, 20, 0, 12, 6, 0, 4, 2, 0, -8, -4, 0, 14, 28, 0, -8, -20, 0, 0, 42, 0, 4, 0, 0, 10, 0, 0, 14, 19, 0, 40, 0, 0, 0, -42, 0, -12, 34, 0, 12, 48, 0, -10, 16, 0, -24, -6, 0, 0, 8, 0, -12, 4, 0, -8, 44, 0, 22, 10, 0, 24, 12, 0, 34, 16, 0, 0, 14, 0, -40, 24, 0, 0, -8, 0, 41, -4, 0, -10, -60, 0, -32, 36, 0, -26, -4, 0, 2, 0, 0, 12, -26, 0, 38, 0, 0, -12, -48, 0, 0, 22, 0, -8, -10, 0, 72, 10, 0, -6, -36, 0, 10, -20, 0, 0, 8, 0, 0, 8, 0, 48, 0, 0, 30, 30, 0, 9, -22, 0, 4, -72, 0, 0, 12, 0, -24, -1, 0, 4, 12, 0, -24, 20, 0, -28, 16, 0, 60, -16, 0, 11, 42, 0, 20, 0, 0, 18, 0, 0, -10, 0, 0, -24, 0, 0, 0, 8, 0, 0, -6, 0, 14, -15, 0, -16, 110, 0, -4, 6, 0, -56, 24, 0, -14, 2, 0, 0, 0, 0, 16, 40, 0, -6, -16, 0, -24, -34, 0, 0, 0, 0, -8, -6, 0, 20, -32, 0, -34, -12, 0, 24, -12, 0, -10, 0, 0, -6, -24, 0, -44, 0, 0, 14, -18, 0, 66, 12, 0, 6, -20, 0, 0, 0, 0, -1, -40, 0, 30, -6, 0, 48, -2, 0, -12, -34, 0, -22, 42, 0, -36, 55, 0, 22, 0, 0, 0, 12, 0, 0, -2, 0, -38, 10, 0, 0, -32, 0, -8, -36, 0, -40, -10, 0, -12, 42, 0, 12, 36, 0, -32, 0, 0, 14, -6, 0, 32, 0, 0, 18, 40, 0, 71, -18, 0, 0, 36, 0, 11, -6, 0, -66, 0, 0, 40, 6, 0, 0, -12, 0, 4, -16, 0, -24, -40, 0, 80, 14, 0, 6, 0, 0, -24, -30, 0, 0, 24, 0, 2, -28, 0, 0, 24, 0, 56, 12, 0, 4, -44, 0, -1, -32, 0, -20, 12, 0, 32, 3, 0, -10, 60, 0, -36, 0, 0, -6, -64, 0, -16, 6, 0, 8, 12, 0, 0, 10, 0, -16, 18, 0, 0, 0, 0, -20, 0, 0, 110, -16, 0, 50, 12, 0, 2, 10, 0, -24, 0, 0, -44, 12, 0, 24, 2, 0, 0, 12, 0, 0, 12, 0, 28, 22, 0, -18, -26, 0, 0, -16, 0, -38, -6, 0, 5, 20, 0, -24, 56, 0, -16, 33, 0, 16, 10, 0, 4, -8, 0, 6, 2, 0, 0, 4, 0, 36, 6, 0, -24, -60, 0, -4, 0, 0, 24, 30, 0, 0, -88, 0, -40, -20, 0, 72, 0, 0, 72, -6, 0, -6, 12, 0, -34, 0, 0, 0, -38, 0, 40, -3, 0, -6, 12, 0, 32, -14, 0, 23, -110, 0, -24, 12, 0, 56, 56, 0, -46, 0, 0, 10, 36, 0, -40, 8, 0, -14, -6, 0, 0, -42, 0, 54, -20, 0, -8, -4, 0, -36, 0, 0, -8, -23, 0, 24, -54, 0, -46, 6, 0, -20, 0, 0, -20, 0, 0, 12, 100, 0, -44, 18, 0, 0, 0, 0, 0, 46, 0, -2, 24, 0, 28, -42, 0, -40, -60, 0, -6, 28, 0, -18, 54, 0, -10, 0, 0, 20, 40, 0, 48, 12, 0, -6, 32, 0, 0, 12, 0, 2, -80, 0, 54, -8, 0, 20, -24, 0, -26, -14, 0, 28, 0, 0, -22, -8, 0, 20, 0, 0, 24, 0, 0, 42, 72, 0, -8, 4, 0, 0, -64, 0, 60, -10, 0, 0, -42, 0, -36, 14, 0, -19, 16, 0, -12, 120, 0, 0, 20, 0, 40, 0, 0, -14, 8, 0, -20, 12, 0, 34, 66, 0, 0, 12, 0, -48, -54, 0, 9, 50, 0, 16, 16, 0, -100, -24, 0, -18, 30, 0, -64, 0, 0, 8, 0, 0, -50, -12, 0, -4, -96, 0, 0, -24, 0, 44, 20, 0, 62, 22, 0, 14, 66, 0, 0, -24, 0, 12, -12, 0, 11, 34, 0, -16, 22, 0, 62, 0, 0, 14, -16, 0, -42, -40, 0, 72, -84, 0, 0, 0, 0, -8, -40, 0, 0, 41, 0, 4, 8, 0, -24, -30, 0, -60, 28, 0, -8, -32, 0, 12, 0, 0, -16, 26, 0, -4, -60, 0, -24, 2, 0, 0, 44, 0, -46, 68, 0, -26, 4, 0, 48, 38, 0, 0, -58, 0, 46, 12, 0, -48, 40, 0, -66, 0, 0, -22, 22, 0, 40, -24, 0, -10, 10, 0, 0, 72, 0, -50, 0, 0, -16, 6, 0, -36, 42, 0, 60, 10, 0, 20, 66, 0, -24, 0, 0, 8, 0, 0, -24, 0, 0, 24, 0, 0, -28, -48, 0, 0, 72, 0, 72, 30, 0, -30, 0, 0, 14, 27, 0, -22, -8, 0, 0, 4, 0, -24, -16, 0, 60, 0, 0, 12, 32, 0, 63, -24, 0, 1, -62, 0, 0, -20, 0, 12, -6, 0, -30, -24, 0, 60, -24, 0, 28, 28, 0, 16, 0, 0, -22, 60, 0, 16, 0, 0, -26, 33, 0, 42, 0, 0, -56, 20, 0, 0, 18, 0, 0, -18, 0, 0, 80, 0, 20, -10, 0, 0, 10, 0, 4, -8, 0, 0, -2, 0, 42, 0, 0, 24, -42, 0, -40, 0, 0, -6, 56, 0, 0, 14, 0, 15, -76, 0, 42, -48, 0, 110, -44, 0, 34, -4, 0, 2, 36, 0, 54, 56, 0, 24, 0, 0, 48, -14, 0, -2, 4, 0, 52, 0, 0, 0, -132, 0, 0, 16, 0, 120, -54, 0, -52, 6, 0, -16, -60, 0, -20, -24, 0, 34, 6, 0, 0, 0, 0, 0, -12, 0, -24, -8, 0, 30, -16, 0, 0, -20, 0, -32, -32, 0, -48, -34, 0, 12, -100, 0, 6, 8, 0, -12, -12, 0, -66, -10, 0, 0, 0, 0, -8, 6, 0, -24, -64, 0, 60, -44, 0, 0, 0, 0, 42, 42, 0, -18, 12, 0, -34, 66, 0, 4, -72, 0, 0, -6, 0, -20, 18, 0, -20, 0, 0, 0, 16, 0, -60, 5, 0, -40, 30, 0, -22, 30, 0, -18, 0, 0, 44, -48, 0, -2, -40, 0, 104, -12, 0, 34, 6, 0, -40, -66, 0, 42, 0, 0, -14, -36, 0, 77, 20, 0, -16, -22, 0, 0, -48, 0, -36, 0, 0, -12, -68, 0, 48, 0, 0, -2, -36, 0, -62, -38, 0, 30, -48, 0, 54, 0, 0, -32, 10, 0, 0, -8, 0, 36, 22, 0, 0, -120, 0, -10, 36, 0, 24, -12, 0, 14, 24, 0, 2, -12, 0, 36, 80, 0, 28, -32, 0, 0, 0, 0, 8, -6, 0, -6, 8, 0, -70, 32, 0, 0, -16, 0, -132, -18, 0, 40, 0, 0, 59, 71, 0, 18, -120, 0, -24, 0, 0, 36, 16, 0, 18, 11, 0, 30, 28, 0, -52, 66, 0, 0, -36, 0, 0, 40, 0, -6, -18, 0, -120, 0, 0, -12, 4, 0, 0, 4, 0, -48, 50, 0, -76, 24, 0, -40, 0, 0, -4, 80, 0, -14, 6, 0, 112, 18, 0, 0, 60, 0, 68, -24, 0, -10, 64, 0, -4, 0, 0, 24, 84, 0, 8, 2, 0, 28, -6, 0, -64, 0, 0, 24, 40, 0, -72, 56, 0, 36, -60, 0, 0, -4, 0, -44, 0, 0, -68, -1, 0, 32, 12, 0, -40, -60, 0, 12, -44, 0, -50, 32, 0, 17, 0, 0, 0, 10, 0, 60, 12, 0, -46, -36, 0, 0, 60, 0, -8, -2, 0, -64, 52, 0, 10, -16, 0, 18, 0, 0, 0, -8, 0, 12, 32, 0, 154, 0, 0, -10, -72, 0, -64, -48, 0, 18, -8, 0, 0, 0, 0, 0, -4, 0, -8, 20, 0, 0, -34, 0, -27, 110, 0, 16, -60, 0, 24, 70, 0, 12, 0, 0, 8, 2, 0, 30, 136, 0, -48, 24, 0, 0, 0, 0, -62, -44, 0, -12, 6, 0, 44, 72, 0, 2, 18, 0, -80, 0, 0, -60, -48, 0, -36, 0, 0, 12, 48, 0, -2, 28, 0, -22, 78, 0, 0, -6, 0, -26, -62, 0, 0, 0, 0, -48, 6, 0, 24, 38, 0, -6, 0, 0, -12, 5, 0, -20, 0, 0, -60, -72, 0, 56, -46, 0, -2, -16, 0, 11, 12, 0, -6, -16, 0, 10, -120, 0, -24, 4, 0, 8, -66, 0, -28, -30, 0, 2, 0, 0, -28, 0, 0, 12, 60, 0, 16, -36, 0, 6, -14, 0, 0, -24, 0, 60, 26, 0, -132, -12, 0, 0, -22, 0, 20, 24, 0, 42, 136, 0, 46, 0, 0, -88, 0, 0, -10, -40, 0, 20, 42, 0, -80, 24, 0, 0, 36, 0, -88, 72, 0, -18, -10, 0, 52, 6, 0, 12, -48, 0, -50, -34, 0, 0, -24, 0, -19, 0, 0, -38, -52, 0, -82, 40, 0, -1, 0, 0, 0, 6, 0, 12, -64, 0, 20, 32, 0, 14, 144, 0, 0, 45, 0, -110, 12, 0, -6, -24, 0, 36, 66, 0, 0, -56, 0, 56, -54, 0, -48, -46, 0, 0, 42, 0, 20, 30, 0, 36, 0, 0, -72, -40, 0, -40, -22, 0, 52, 14, 0, -6, 8, 0, -32, 0, 0, 42, 0, 0, -72, 18, 0, -20, -40, 0, 0, -8, 0, -12, 72, 0, -4, 36, 0, 0, -20, 0, -46, -8, 0, 23, 140, 0, 16, 72, 0, -54, 0, 0, 144, -46, 0, 2, 6, 0, 26, 20, 0, 0, -24, 0, -18, -20, 0, 0, 80, 0, -80, -60, 0, 100, 4, 0, -16, -44, 0, 54, -6, 0, 96, 0, 0, 0, -6, 0, 50, 0, 0, -46, -56, 0, 0, -6, 0, 24, -16, 0, -60, 28, 0, 18, 0, 0, 52, 40, 0, -60, -120, 0, 0, -6, 0, -28, 0, 0, 4, -6, 0, 54, 112, 0, -44, -10, 0, 0, 0, 0, -30, -20, 0, 40, 72, 0, -11, 48, 0, -12, 18, 0, -16, -18, 0, 32, 26, 0, -38, 0, 0, 4, 88, 0, 108, -2, 0, -80, 0, 0, 0, 54, 0, 8, 42, 0, -44, 28, 0, -24, -74, 0, 40, -26, 0, -42, -40, 0, -4, -28, 0, 0, 0, 0, -60, -22, 0, 8, 12, 0, 84, 60, 0, 0, 20, 0, -46, 24, 0, 0, 24, 0, -22, -42, 0, 72, -24, 0, 6, -8, 0, -4, -40, 0, -34, 0, 0, -64, -120, 0, 78, 60, 0, -30, -46, 0, -22, 0, 0, -42, 6, 0, 80, -36, 0, -14, 72, 0, -48, -57, 0, 16, 64, 0, 20, -12, 0, 40, 0, 0, 0, 0, 0, 20, -16, 0, -36, 40, 0, 0, 82, 0, 96, 70, 0, 8, 36, 0, 4, -20, 0, 36, -48, 0, 12, -34, 0, 66, 52, 0, 32, 0, 0, -12, 18, 0, -30, -144, 0, -54, 24, 0, 0, 9, 0, 70, 0, 0, -40, -16, 0, 16, -48, 0, 58, -100, 0, 24, 78, 0, 76, -6, 0, 30, 0, 0, 74, -64, 0, 0, 10, 0, 152, -8, 0, 0, 90, 0, 1, -50, 0, 12, -80, 0, 0, -12, 0, -96, 80, 0, 2, 0, 0, -8, -78, 0, 120, -44, 0, 20, 56, 0, -44, 62, 0, -22, 28, 0, 0, -6, 0, 66, 32, 0, 30, 0, 0, -72, 32, 0, 16, -12, 0, -12, -52, 0, -72, 11, 0, -34, 0, 0, -144, -48, 0, 22, -36, 0, 0, 62, 0, 0, 240, 0, 32, -14, 0, -16, -18, 0, 38, -42, 0, 40, 18, 0, -120, 24, 0, -84, 0, 0, 0, 0, 0, 0, -36, 0, 36, 8, 0, -40, 80, 0, 0, 0, 0, -41, 60, 0, -16, 12, 0, 8, 0, 0, -28, -24, 0, -10, 0, 0, 24, 60, 0, 28, 0, 0, 26, -8, 0, 32, 0, 0, 15, -60, 0, 0, 12, 0, -36, -16, 0, 78, 48, 0, -56, 4, 0, -60, -32, 0, 24, -24, 0, -2, 86, 0, 54, 0, 0, 44, 56, 0, 46, -46, 0, 44, 12, 0, 0, 26, 0, 4, -48, 0, -2, 48, 0, -38, 0, 0, -154, 0, 0, -58, -60, 0, 80, 46, 0, 36, 0, 0, 44, 48, 0, 40, 72, 0, 72, -66, 0, 0, 6, 0, 0, -66, 0, 22, 12, 0, 56, 40, 0, -8, 50, 0, 34, 10, 0, 10, 168, 0, 48, 0, 0, -72, -38, 0, 24, -70, 0, 0, 0, 0, 0, -16, 0, 18, 26, 0, 144, 36, 0, 42, -20, 0, -8, 60, 0, -10, 92, 0, -72, 60, 0, 66, 0, 0, 12, -24, 0, 0, 2, 0, -84, -8, 0, 0, -20, 0, 80, -24, 0, 0, -60, 0, -64, 8, 0, 0, 0, 0, -8, -28, 0, -144, 6, 0, -12, 0, 0, 72, -68, 0, -38, 72, 0, -30, -54, 0, 0, -90, 0, 0, 16, 0, 140, 14, 0, 9, -184, 0, -60, 22, 0, -8, 20, 0, 86, 0, 0, -4, 0, 0, -2, 120, 0, -16, -6, 0, 110, 60, 0, 0, 6, 0, 48, -12, 0, 32, -112, 0, 0, 63, 0, 24, -50, 0, 0, 3, 0, -62, 120, 0, -50, 0, 0, -28, 90, 0, -80, -12, 0, -6, 48, 0, 0, -30, 0, 24, -48, 0, -68, 20, 0, -24, -48, 0, -72, 28, 0, 84, 56, 0, 34, -16, 0, 0, 0, 0, -8, -22, 0, -60, -70, 0, 10, 48, 0, 0, 32, 0, -2, -26, 0, 11, -86, 0, 46, -42, 0, 0, -22, 0, -17, -56, 0, -20, -40, 0, -112, 0, 0, 18, -90, 0, -12, 0, 0, -54, 22, 0, 0, 0, 0, 80, 12, 0, -52, 20, 0, 10, -38, 0, 48, 0, 0, 10, 36, 0, -168, 4, 0, 40, 0, 0, -52, 0, 0, -2, -16, 0, 94, 42, 0, 0, -84, 0, 36, 8, 0, -42, -36, 0, 16, -40, 0, 0, 54, 0, 0, 6, 0, 56, -104, 0, 48, 0, 0, -14, -56, 0, 56, 45, 0, -76, -12, 0, 0, 42, 0, -16, 82, 0, 40, -110, 0, -44, 36, 0, 0, 34, 0, 4, -42, 0, 0, -10, 0, 36, 0, 0, 28, 54, 0, 168, 0, 0, -120, -24, 0, 0, -8, 0, 0, 48, 0, 14, -18, 0, -136, -6, 0, 4, -66, 0, 120, 52, 0, 0, -48, 0, 18, 0, 0, -132, -12, 0, -14, 0, 0, -16, -46, 0, 0, 40, 0, -54, 28, 0, -64, -52, 0, 18, -10, 0, -34, 16, 0, -60, 66, 0, 32, -20, 0, 24, 0, 0, 20, 102, 0, 6, -140, 0, -6, 0, 0, 0, -140, 0, -32, 0, 0, -12, -24, 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": "2667.2.a.b", "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], [-4], [0], [-1], [-3], [0], [-4], [0], [0], [2], [-1], [0], [-1], [-6], [0], [2], [4], [0], [0], [0], [0], [11], [2], [0], [1], [10], [0], [6], [5], [0], [-6], [4], [0], [10], [2], [0], [12], [-10], [0], [-4], [0], [0], [0], [6], [0], [1], [11], [0], [-2], [6], [0], [0], [3], [0], [10], [-12], [0], [-6], [6], [0], [7], [-8], [0], [-12], [6], [0], [4], [0], [0], [14], [10], [0], [-2], [0], [0], [-12], [4], [0], [-10], [0], [0], [24], [-4], [0], [0], [8], [0], [-2], [0], [0], [6], [-8], [0], [-4], [1], [0], [-11]]}