# Stored data for newform 1225.2.a.b, downloaded from the LMFDB on 10 May 2024.
{"label": "1225.2.a.b", "space_label": "1225.2.a", "level": 1225, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660926153, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1303089606466468359, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 1]], [3, [1, 1]]], "qexp_display": "q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}-2q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4900, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 9.781674247606848, "hecke_ring_index": 1, "level_radical": 35, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [1225, 1, [1177, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [5, 7], "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": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.888", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.661", "prec": 17}], "related_objects": ["EllipticCurve/Q/1225/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, -1]], "trace_display": [-1, -1, 0, 0], "traces": [0, 1, -1, -1, -1, 0, 1, 0, 3, -2, 0, 0, 1, 2, 0, 0, -1, 2, 2, -6, 0, 0, 0, 3, -3, 0, -2, 5, 0, 7, 0, -2, -5, 0, -2, 0, 2, 8, 6, -2, 0, -5, 0, -7, 0, 0, -3, 0, 1, 0, 0, -2, -2, -6, -5, 0, 0, 6, -7, -10, 0, -7, 2, 0, 7, 0, 0, 5, -2, -3, 0, -2, -6, -6, -8, 0, 6, 0, 2, -2, 0, 1, 5, -11, 0, 0, 7, -7, 0, -9, 0, 0, -3, 2, 0, 0, 5, -16, 0, 0, 0, -9, 2, 7, 6, 0, 6, -11, -5, 5, 0, -8, 0, 6, -6, 0, -7, -4, 10, 0, 0, -11, 7, 5, 2, 0, 0, -16, 3, 7, 0, -4, 0, 0, -5, 0, 6, 0, 3, -8, 0, 0, 2, 0, 2, 0, 6, 0, -8, 1, 0, 14, -18, -4, 0, 0, 2, 12, 2, 6, 0, 0, -1, 4, 5, 0, 11, -3, 0, -9, 0, 12, 7, -12, 7, 0, 0, 10, 9, -2, 0, 3, 0, 7, 9, 0, -2, 0, 0, 0, 0, 12, -7, 4, 16, 0, 0, 8, 0, 4, 0, -5, 9, 0, 2, 0, -7, -6, -2, 0, 0, -10, 6, 2, 11, 0, 15, 0, -5, 6, 0, 4, 8, 0, 0, 0, -6, -20, -6, 22, 0, 0, 21, -14, 4, 0, 10, 2, 0, -18, 0, 14, 11, -16, 7, 0, -5, -12, -6, 11, 0, -30, 0, 0, 16, 0, -17, 20, -7, 0, 0, -14, 4, 9, 0, 0, 0, 9, -5, 11, 0, 2, -2, 0, 0, 0, 3, -10, 8, 4, 0, -14, 0, 16, 2, 0, 0, 0, 10, -13, 0, 16, 6, 24, 0, 0, 24, 0, -1, 6, 0, 0, -14, 9, 6, 0, 4, 23, 0, -7, 0, -30, -6, 24, -12, 0, 2, 6, -6, 0, 0, 11, 0, -12, -1, 0, -4, -5, -15, 0, 0, 6, 11, -16, 3, 0, 0, -18, 9, -6, 0, 0, -12, 0, -21, 0, 12, -15, 7, 17, 0, 10, 0, -26, -10, 0, 9, 0, 2, 10, 0, 17, -3, 11, 0, 0, -7, 27, -3, 10, 0, 0, -2, 24, 0, 0, 0, 14, 0, -10, 0, 16, -12, 5, -3, 0, -4, 14, 16, 14, 0, 6, 0, 4, -8, 0, 0, -16, -4, 0, 0, 3, 5, -4, 9, 0, 0, 0, -6, 25, 0, 0, -7, 0, 6, 0, -10, 8, 0, -24, 0, 15, 10, 0, -18, 0, -2, 0, 11, 0, 0, -32, -5, -2, 0, 0, -5, -18, -6, -24, 0, 0, -4, -31, 8, 0, 0, -1, 0, 31, 0, 0, -6, -14, 20, 0, 18, -32, -22, 10, 0, -18, 0, -3, -7, 0, 14, 3, 4, 0, 0, -12, -30, 0, -2, 0, 0, 12, 18, -42, 0, 16, -14, 0, 11, 0, 16, 12, -21, -4, 0, -26, -5, 14, 12, 0, 2, 0, -11, 16, 0, 3, 30, -15, 0, 0, 0, 9, 16, -27, 0, 0, 11, -30, -20, 0, -7, 0, 0, 12, 0, -14, 14, 4, 4, 0, -9, -4, 0, -14, 0, 20, 0, -10, -9, 0, 15, 2, -11, 0, 0, -3, -2, -3, -10, 0, 0, 17, 0, 14, 0, -42, -9, 0, 10, 0, 8, 44, -4, -14, 0, 0, 14, 33, 0, 0, -16, 0, -6, -18, 0, -18, 0, -12, 0, 0, -14, -32, 13, -4, 0, 0, -16, 0, -18, 0, -24, -36, 0, 12, 0, -8, -8, 22, 0, 0, -1, -4, -6, -44, 0, -10, 0, -10, -14, 0, -9, -33, 30, 0, 0, 0, 4, 34, -23, 0, 0, 4, 7, -28, 0, 15, 30, 0, 2, 0, -24, 0, -12, 16, 0, 40, -6, 10, -6, 0, -6, 0, 0, 4, 0, -11, -11, -4, 0, 0, 12, 47, 3, 0, 0, 0, -4, 26, 5, 0, 5, 12, 0, 6, 0, 9, -6, -4, -33, 0, 16, 21, 3, 0, 0, 0, 0, 36, 18, 0, 9, -14, 6, 0, 0, 20, 0, -35, -12, 0, 0, -22, 7, -12, 0, 20, 12, 0, 15, 0, -21, -10, -17, 14, 0, -1, -10, -48, 0, 0, 26, 0, -10, -49, 0, 4, -27, -6, 0, 0, 2, 18, -10, -36, 0, 0, -17, -14, -3, 0, -11, -47, 0, 13, 0, -14, -7, -16, -27, 0, -15, 0, -10, 16, 0, 12, 0, 49, 6, 0, -24, 22, 0, 0, 0, -12, 0, 30, -14, 0, 0, -22, 10, 0, 0, -14, -16, 0, -12, 0, -5, -20, 17, 30, 0, -20, -4, 18, -14, 0, -48, 0, -14, 30, 0, 0, -6, 35, 0, 0, -4, -17, -8, -9, 0, 0, 0, -14, 16, 0, -4, 40, 0, 0, 0, 18, -3, 0, 5, 0, 4, -11, -27, 9, 0, 2, 0, -2, 0, 0, 2, 42, -25, 0, 0, 22, 0, -25, 21, 0, 0, 39, 6, 30, 0, 10, 14, 0, -8, 0, 0, -10, 24, -48, 0, 20, -15, 14, 10, 0, 0, 0, 6, -16, 0, 24, -2, -6, 0, 0, -33, -12, 0, 32, 0, 0, 32, 9, -25, 0, 2, 13, 0, 0, 0, 10, 15, 32, 18, 0, -6, 2, 24, -24, 0, 43, 0, -36, -4, 0, 31, 43, -24, 0, 0, 0, 0, 0, 1, 0, 0, -6, -31, -14, 0, -12, 0, 0, 18, 0, 14, 19, 20, 18, 0, 24, -6, 0, 32, 0, -22, 0, -10, 34, 0, -23, 18, -4, 0, 0, 3, -14, -35, 29, 0, 0, 14, 30, -3, 0, -12, -8, 0, -24, 0, 18, 12, -15, 10, 0, 0, 57, -2, -12, 0, -6, 0, -60, -12, 0, 18, 0, 42, 0, 0, -27, -16, 22, -14, 0, 0, 13, -33, 12, 0, 32, 16, 0, -12, 0, 7, -60, 4, 0, 0, -10, 26, 3, 15, 0, -14, 0, 12, -21, 0, -50, 10, -6, 0, 0, -11, -2, -16, 40, 0, 0, -3, -20, 30, 0, 15, 36, 0, -11, 0, 18, 0, -18, -9, 0, -48, -12, 27, -12, 0, 51, 0, 0, 23, 0, 30, -4, -20, 0, 0, 50, 21, -10, 0, 0, 0, -14, -12, 14, 0, 15, 14, 0, 14, 0, -4, -17, -12, 51, 0, -58, -9, 2, 4, 0, 0, 0, 14, 26, 0, -6, -20, 29, 0, 0, 10, 0, -9, 23, 0, 0, -5, 56, -2, 0, -11, -10, 0, -22, 0, 0, 3, -17, -2, 0, 3, 19, 14, 22, 0, 18, 0, 40, -17, 0, 0, -48, -14, 0, 0, -27, 42, 32, 3, 0, 0, -25, 10, 21, 0, 0, -24, 0, -44, 0, -4, 4, 14, -24, 0, 60, 0, -44, 14, 0, -33, 0, 0, 43, 0, -14, -16, 0, 0, 0, 2, 10, 18, 10, 0, 0, 18, 32, 0, 0, 12, -16, 0, -5, 0, -40, -6, -56, 32, 0, 13, -18, 4, 42, 0, -35, 0, 16, -16, 0, 0, -14, 6, 0, 0, 44, -24, -6, 36, 0, 0, 0, -12, 8, 0, 41, 8, 0, -40, 0, -22, 36, 0, -35, 0, 16, 3, -12, 4, 0, -6, 0, 44, 0, 0, 45, 10, -3, 0, 0, 10, -4, 42, 4, 0, 0, -9, -44, 33, 0, -42, -30, 0, -18, 0, 0, 0, 36, -12, 0, -34, -25, -23, -33, 0, 26, 0, 0, -4, 0, 7, -10, 28, 0, 0, -12, -15, 0, 30, 0, 0, -49, 10, 35, 0, 16, -24, 0, 0, 0, 36, 24, -16, 2, 0, -32, -40, -15, 2, 0, -10, 0, -6, 0, 0, 10, 18, -30, 0, 0, 0, 18, -4, 14, 0, 0, 11, 12, -11, 0, 4, 0, 0, 5, 0, 20, 12, 32, -47, 0, -1, -38, 0, 2, 0, -7, 0, 5, 12, 0, -26, 9, 5, 0, 0, 18, 25, -18, -12, 0, 0, 24, -6, -32, 0, 10, -9, 0, -6, 0, 4, 63, 11, 31, 0, 0, 16, 14, -21, 0, -9, 0, 0, 14, 0, -2, 0, -4, 0, 0, -36, -31, 18, 12, 0, 0, -27, 0, 14, 0, 6, -30, 0, -28, 0, 13, -20, 0, 0, 0, 35, -20, 36, 27, 0, 32, 0, -56, 22, 0, 35, 2, 12, 0, 0, 35, -20, 18, -36, 0, 0, 36, 15, 3, 0, -22, 7, 0, 10, 0, -17, 0, -14, 68, 0, -3, 1, -21, -10, 0, 48, 0, 0, -19, 0, -22, 26, -24, 0, 0, 30, 10, 49, 0, 0, 0, -4, -24, 9, 0, 6, 9, 0, 13, 0, -30, -6, 16, -18, 0, -10, 42, 36, 20, 0, 0, 0, -16, -17, 0, 14, -27, 9, 0, 0, -42, -11, -54, 47, 0, 0, 0, -13, -18, 0, -12, 14, 0, 21, 0, 16, -8, -27, 12, 0, -8, 21, 26, 0, 0, -10, 0, -16, -14, 0, -75, -12, -49, 0, 0, -49, -41, -2, 5, 0, 0, -24, -42, -22, 0, 0, -16, 0, 54, 0, 12, 12, 6, 0, 0, -30, 0, -14, 15, 0, -32, 0, -18, 22, 0, 10, -40, 0, 0, 0, 18, 14, -12, -16, 0, 0, 27, 36, 0, 0, 56, -5, 0, 20, 0, -11, -42, -30, -6, 0, 15, 20, 0, 12, 0, -18, 0, -14, -13, 0, 0, 16, 12, 0, 0, -14, 24, -30, -72, 0, 0, 0, 14, -6, 0, -35, 35, 0, -4, 0, 66, -4, -22, 17, 0, 24, 66, 9, -68, 0, 4, 0, 20, 0, 0, 14, 14, 16, 0, 0, -56, 12, -50, -40, 0, 0, 44, 0, 10, 0, -15, -18, 0, -3, 0, 0, -31, -15, -55, 0, 4, 4, -42, 11, 0, 9, 0, -9, -10, 0, 13, -2, 3, 0, 0, 2, -31, 0, -6, 0, 0, 10, -6, -42, 0, -25, 48, 0, 0, 0, -17, -22, 12, 0, 0, 25, -35, -7, -32, 0, -32, 0, 42, -39, 0, -18, 30, -30, 0, 0, 0, -10, -39, 6, 0, 0, -43, -8, -34, 0, -44, 0, 0, 10, 0, 24, 14, 48, -18, 0, -16, -20, 0, -15, 0, -14, 0, -30, -33, 0, 54, 0, -14, 0, 0, 30, 48, 16, -4, 0, 0, -24, -8, 6, 0, 6, 18, 0, 66, 0, -70, 11, 18, 12, 0, 0, -18, -32, -24, 0, 54, 0, 9, 32, 0, -9, 0, 35, 0, 0, 32, 2, 40, -13, 0, 0, -8, 0, 0, 0, -9, -10, 0, -5, 0, -32, -4, 18, 0, 0, 14, 18, 22, -2, 0, 24, 0, 24, -4, 0, 36, -43, 35, 0, 0, 36, -12, 12, -49, 0, 0, 31, -16, -43, 0, 8, 0, 0, -22, 0, 0, 0, 32, 0, 0, 0, -60, 1, 59, 0, -8, 0, 0, 6, 0, -31, 44, 14, 0, 0, 17, 12, 10, 0, 0, 0, -16, -6, 25, 0, -6, 14, 0, -19, 0, -60, -6, -18, -22, 0, 33, -24, 17, -30, 0, 0, 0, 32, 20, 0, -40, 66, 0, 0, 0, -10, 0, -34, -34, 0, 0, 23, 96, 18, 0, 4, -24, 0, 6, 0, -4, 3, 10, 14, 0, 49, 28, -29, 0, 0, -49, 0, 3, -42, 0, -30, 13, -3, 0, 0, -60, 4, 50, 8, 0, 0, -8, 24, -50, 0, 0, -18, 0, 12, 0, 15, -16, 50, -34, 0, 14, 0, -40, -57, 0, 6, 0, 12, 20, 0, -33, 6, 0, 0, 0, 60, 63, -12, -33, 0, 0, -54, -2, 0, 0, 42, -10, 0, 54, 0, 12, 27, 11, -16, 0, -22, 0, 42, 4, 0, -8, 0, -26, -13, 0, 11, 2, -12, 0, 0, -47, -32, 35, -48, 0, 0, 0, -12, 31, 0, -74, 35, 0, 60, 0, 4, -42, 0, -26, 0, -48, 10, 28, 26, 0, -3, 0, -5, 0, 0, -30, -14, 82, 0, 0, -36, -6, 21, -16, 0, 0, 50, -9, -14, 0, 6, 76, 0, -8, 0, 0, 33, -62, 2, 0, -16, -6, -40, -36, 0, -21, 0, 61, -3, 0, 20, 0, -90, 0, 0, 82, 15, 0, -36, 0, 0, -34, 11, -36, 0, 0, -18, 0, 0, 0, 18, -24, -9, 69, 0, 14, 16, 66, 12, 0, 27, 0, 12, -66, 0, 24, -51, 40, 0, 0, 0, -27, -45, 35, 0, 0, 30, -38, 4, 0, 60, -22, 0, -14, 0, -44, -50, -81, -7, 0, 10, 12, 0, -6, 0, -30, 0, -20, 14, 0, -12, -10, -14, 0, 0, -69, -15, 65, 14, 0, 0, 27, -42, -29, 0, 10, -4, 0, 17, 0, 4, 28, -51, 28, 0, 0, 58, 1, 27, 0, -2, 0, 4, 48, 0, 62, 0, 56, 0, 0, 14, -42, -26, 8, 0, 0, 6, 0, -20, 0, -29, 49, 0, -21, 0, 10, 10, -10, 0, 0, 27, 30, -23, 6, 0, 41, 0, -61, -25, 0, -56, -36, -2, 0, 0, 36, 33, -78, 10, 0, 0, 36, 22, -32, 0, -65, 0, 0, 3, 0, 17, 0, 6, -28, 0, -6, 3, 30, -19, 0, 6, 0, -22, 14, 0, 47, -18, -80, 0, 0, -40, 35, -17, 0, 0, 0, 0, 14, 48, 0, -14, -44, 0, 16, 0, 4, 27, 29, 42, 0, -32, 48, 15, -47, 0, 0, 0, 26, 25, 0, -30, -16, -21, 0, 0, -38, 0, 24, 8, 0, 0, -8, -44, -49, 0, -48, 12, 0, -4, 0, 14, 72, 24, -54, 0, -55, -60, -13, 0, 0, 44, 0, -42, -24, 0, 76, -33, 12, 0, 0, 0, -56, -43, 60, 0, 0, 14, 12, 48, 0, 0, -57, 0, -50, 0, 22, 10, -64, -10, 0, 18, 0, -10, 42, 0, -25, 0, 14, 18, 0, -32, 16, 0, 0, 0, -14, 12, 80, 16, 0, 0, -12, 5, 66, 0, 20, 40, 0, 34, 0, 56, -30, 32, -21, 0, 18, -39, -40, 18, 0, 4, 0, -42, -18, 0, 0, 35, -27, 0, 0, -16, -4, 48, 0, 0, 0, 0, -36, 14, 0, 30, -30, 0, -46, 0, -11, -44, 0, 72, 0, 6, -27, 36, 7, 0, -58, 0, 6, 0, 0, -12, 72, -8, 0, 0, 17, -41, -16, 8, 0, 0, -18, 56, 21, 0, 92, -22, 0, -36, 0, 0, 62, 35, 14, 0, 51, -16, 51, -1, 0, 12, 0, 4, 23, 0, -40, 18, 4, 0, 0, 44, 0, 0, -34, 0, 0, -45, -45, 10, 0, 3, -77, 0, 0, 0, 56, 10, 96, 4, 0, -14, -46, -4, 50, 0, -22, 0, -9, 27, 0, 44, -9, 33, 0, 0, 0, -18, -2, 30, 0, 0, -38, 18, -4, 0, 58, 0, 0, 0, 0, -36, -17, 4, 4, 0, -42, -34, 0, 25, 0, 69, 0, 33, -48, 0, -33, -26, -22, 0, 0, 0, 29, -4, 25, 0, 0, -21, 2, 10, 0, 28, -18, 0, 40, 0, -39, 12, 24, -15, 0, 0, -30, -90, 24, 0, 0, 0, 20, 49, 0, -14, 0, -35, 0, 0, 35, -16, -16, 72, 0, 0, 15, 0, 8, 0, -2, -12, 0, -24, 0, -16, 48, -2, 0, 0, -31, 32, -20, -40, 0, 15, 0, 10, 28, 0, 30, -10, 2, 0, 0, 18, 70, 0, 34, 0, 0, -10, 21, -6, 0, 30, -32, 0, -34, 0, -32, 0, -24, -18, 0, -4, -10, -14, 6, 0, 16, 0, 0, 11, 0, -12, 28, 33, 0, 0, 12, 4, 22, 0, 0, 0, -32, -5, 94, 0, -63, -20, 0, -36, 0, -32, 8, -47, -9, 0, 76, -5, -38, 38, 0, 0, 0, -2, 18, 0, 26, 7, 0, 0, 0, -5, 0, -4, -6, 0, 0, -26, -10, -9, 0, -15, 82, 0, -80, 0, 35, -18, 49, -35, 0, 18, -16, -12, 0, 0, -2, 0, 30, -24, 0, -6, -48, 32, 0, 0, 48, -10, -43, -9, 0, 0, 71, 18, 36, 0, 0, 4, 0, -63, 0, 55, -32, -31, 70, 0, -43, 0, 31, -48, 0, -14, 0, -21, 24, 0, 44, 3, 0, 0, 0, 0, 44, -14, 0, 0, 0, 2, -15, 0, 0, 4, 21, 0, -26, 0, -12, -36, 44, 31, 0, -54, 14, -12, 42, 0, -48, 0, 12, 9, 0, 0, -92, 14, 0, 0, -96, -18, -38, 30, 0, 0, 0, 28, 34, 0, -19, -13, 0, -20, 0, 0, -45, 0, -45, 0, -80, 35, -24, 20, 0, -12, 0, -27, 0, 0, 51, -32, -20, 0, 0, 56, -25, 22, 99, 0, 0, -49, 4, -2, 0, 12, -34, 0, 18, 0, 0, -35, -46, -20, 0, -18, 81, 12, 4, 0, 8, 0, 0, -36, 0, -45, -36, -3, 0, 0, 35, 22, -33, 35, 0, 0, -29, 10, -33, 0, -38, 51, 0, 0, 0, -14, 32, -68, 60, 0, 27, 3, 95, 1, 0, 21, 0, 30, -17, 0, 8, 48, -112, 0, 0, 0, -48, 19, 22, 0, 0, 22, -18, -78, 0, 24, 0, 0, 15, 0, -6, -10, 6, -10, 0, 49, -12, 0, -6, 0, -57, 0, 32, -4, 0, 24, 12, 45, 0, 0, -28, 6, -12, -9, 0, 0, 32, -13, 60, 0, 2, 30, 0, 2, 0, -16, 0, -18, -84, 0, 0, 30, -18, -42, 0, 36, 0, -20, 44, 0, -35, 0, 27, 0, 0, 16, 96, 51, -55, 0, 0, 14, 0, 27, 0, -3, 60, 0, 0, 0, -13, 42, -13, 33, 0, 54, 24, 47, 21, 0, 10, 0, -32, 0, 0, -13, 76, 18, 0, 0, -48, 12, -16, 14, 0, 0, 93, -7, -63, 0, 60, 16, 0, 8, 0, 81, 0, -12, 54, 0, -24, 8, 25, 9, 0, -26, 0, 0, -3, 0, -40, 30, 48, 0, 0, -16, -84, 14, 0, 0, 0, 75, 24, -12, 0, 49, 21, 0, 27, 0, 0, -49, 50, 41, 0, -10, 44, -5, -12, 0, 0, 0, -72, 72, 0, 42, 49, -22, 0, 0, 2, 0, 30, 16, 0, 0, 8, -54, -12, 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": "35.2.j.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], [-1], [-1], [0], [1], [0], [3], [-2], [0], [0], [1], [2], [0], [0], [-1], [2], [2], [-6], [0], [0], [0], [3], [-3], [0], [-2], [5], [0], [7], [0], [-2], [-5], [0], [-2], [0], [2], [8], [6], [-2], [0], [-5], [0], [-7], [0], [0], [-3], [0], [1], [0], [0], [-2], [-2], [-6], [-5], [0], [0], [6], [-7], [-10], [0], [-7], [2], [0], [7], [0], [0], [5], [-2], [-3], [0], [-2], [-6], [-6], [-8], [0], [6], [0], [2], [-2], [0], [1], [5], [-11], [0], [0], [7], [-7], [0], [-9], [0], [0], [-3], [2], [0], [0], [5], [-16], [0], [0], [0]]}