# Stored data for newform 2166.2.a.c, downloaded from the LMFDB on 19 April 2024.
{"label": "2166.2.a.c", "space_label": "2166.2.a", "level": 2166, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288297590, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1989208783539606285, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[5, [4, 1]], [7, [3, 1]], [13, [-7, 1]], [29, [4, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}-3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 8664, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 17.29559707780933, "hecke_ring_index": 1, "level_radical": 114, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [2166, 1, [1445, 1807], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 19], "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": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.893", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.666", "prec": 17}], "related_objects": ["EllipticCurve/Q/2166/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [19, -1]], "trace_display": [-1, 1, -4, -3], "traces": [0, 1, -1, 1, 1, -4, -1, -3, -1, 1, 4, 2, 1, 7, 3, -4, 1, 0, -1, 0, -4, -3, -2, -4, -1, 11, -7, 1, -3, -4, 4, -1, -1, 2, 0, 12, 1, -7, 0, 7, 4, -4, 3, 7, 2, -4, 4, 2, 1, 2, -11, 0, 7, 4, -1, -8, 3, 0, 4, 6, -4, -1, 1, -3, 1, -28, -2, -3, 0, -4, -12, -2, -1, -3, 7, 11, 0, -6, -7, -5, -4, 1, 4, -12, -3, 0, -7, -4, -2, -18, 4, -21, -4, -1, -2, 0, -1, -10, -2, 2, 11, 2, 0, -9, -7, 12, -4, -2, 1, -6, 8, -7, -3, -2, 0, 16, -4, 7, -6, 0, 4, -7, 1, -4, -1, -24, 3, 0, -1, 7, 28, -18, 2, 0, 3, -4, 0, -2, 4, 21, 12, 2, 2, 14, 1, 16, 3, 2, -7, -18, -11, -20, 0, 0, 6, 4, 7, 7, 5, 4, 4, 12, -1, 11, -4, -8, 12, -6, 3, 36, 0, 0, 7, -12, 4, -33, 2, 6, 18, 12, -4, 2, 21, -1, 4, 28, 1, 0, 2, -3, 0, -20, 1, 21, 10, -28, 2, -10, -2, -7, -11, -3, -2, 12, 0, 16, 9, -4, 7, 0, -12, -9, 4, -2, 2, -28, -1, 3, 6, -3, -8, 0, 7, -5, 3, 11, 2, -4, 0, -7, -16, -6, 4, 6, -7, -8, 6, -5, 0, 24, -4, -1, 7, 1, -1, -8, 4, 0, 1, -12, 24, 14, -3, -8, 0, 0, 1, 28, -7, 21, -28, -4, 18, -18, -2, -16, 0, -18, -3, -18, 4, -8, 0, -21, 2, 22, -4, -26, -21, -1, -12, -4, -2, -12, -2, 0, -14, 12, -1, -17, -16, -10, -3, 18, -2, -24, 7, 2, 18, -28, 11, -21, 20, 2, 0, 4, 0, -12, -6, -9, -4, 34, -7, 14, -7, 12, -5, 24, -4, -8, -4, -2, -12, 0, 1, 77, -11, -6, 4, -6, 8, -23, -12, -7, 6, 12, -3, -13, -36, -2, 0, -2, 0, 15, -7, 16, 12, 28, -4, 31, 33, 7, -2, 0, -6, 8, -18, 0, -12, -12, 4, 0, -2, -7, -21, 12, 1, 19, -4, -4, -28, -12, -1, 22, 0, -24, -2, -28, 3, 21, 0, 0, 20, 14, -1, 24, -21, 7, -10, -24, 28, 0, -2, -18, 10, 20, 2, -13, 7, 0, 11, -10, 3, -7, 2, -4, -12, -14, 0, -10, -16, -2, -9, -18, 4, 48, -7, 21, 0, 30, 12, -26, 9, 2, -4, 0, 2, 3, -2, 14, 28, -6, 1, -23, -3, 16, -6, 0, 3, -23, 8, 2, 0, 4, -7, 72, 5, -18, -3, -16, -11, -8, -2, -20, 4, 84, 0, 29, 7, 0, 16, -34, 6, 19, -4, 4, -6, -8, 7, 9, 8, 7, -6, 14, 5, 0, 0, 4, -24, 34, 4, -49, 1, 12, -7, 40, -1, -16, 1, 11, 8, 26, -4, 0, 0, -8, -1, 6, 12, -11, -24, -6, -14, -12, 3, -8, 8, 36, 0, 6, 0, 9, -1, 0, -28, 36, 7, 4, -21, -12, 28, -38, 4, -29, -18, -33, 18, 0, 2, -7, 16, 6, 0, -28, 18, 8, 3, 12, 18, 4, -4, -19, 8, 2, 0, 24, 21, 29, -2, -1, -22, 0, 4, 15, 26, 28, 21, 22, 1, 49, 12, 0, 4, 42, 2, 8, 12, -3, 2, -16, 0, -7, 14, -20, -12, -44, 1, 2, 17, 21, 16, 36, 10, 8, 3, -28, -18, -18, 2, 0, 24, -10, -7, 34, -2, 0, -18, -7, 28, -30, -11, -19, 21, -3, -20, 28, -2, -41, 0, 12, -4, 14, 0, -38, 12, 16, 6, 18, 9, -23, 4, -4, -34, 54, 7, 41, -14, 0, 7, 0, -12, -19, 5, -9, -24, 0, 4, 14, 8, -2, 4, -18, 2, 13, 12, -28, 0, -28, -1, 12, -77, 3, 11, -30, 6, 72, -4, -3, 6, 10, -8, -10, 23, 0, 12, 0, 7, 16, -6, -5, -12, -2, 3, 1, 13, 11, 36, 38, 2, 30, 0, -4, 2, -40, 0, 8, -15, -7, 7, 28, -16, 12, -12, -6, -28, -84, 4, 0, -31, 6, -33, 8, -7, 0, 2, -8, 0, -6, 6, -3, -8, -5, 18, 4, 0, -56, 12, 24, 12, 16, -4, 27, 0, -1, 2, -44, 7, 37, 21, 1, -12, 0, -1, 30, -19, -8, 4, -6, 4, 35, 28, 0, 12, -26, 1, 72, -22, -12, 0, 6, 24, 31, 2, 14, 28, 80, -3, -23, -21, -8, 0, -42, 0, 18, -20, 0, -14, 42, 1, -5, -24, 28, 21, -6, -7, -11, 10, 21, 24, 0, -28, -4, 0, -4, 2, -28, 18, -49, -10, -18, -20, 6, -2, -7, 13, -16, -7, -6, 0, 0, -11, -18, 10, -6, -3, -48, 7, -18, -2, 36, 4, -36, 12, -8, 14, -44, 0, 0, 10, -21, 16, 12, 2, 44, 9, 22, 18, -8, -4, -45, -48, -26, 7, 0, -21, 24, 0, -1, -30, 40, -12, -13, 26, -4, -9, -144, -2, 21, 4, -12, 0, 28, -2, -9, -3, 0, 2, 6, -14, 7, -28, 12, 6, 6, -1, 48, 23, -17, 3, -10, -16, -21, 6, -10, 0, 72, -3, -19, 23, 18, -8, -24, -2, -41, 0, -24, -4, -10, 7, 0, -72, 2, -5, 0, 18, -48, 3, -28, 16, 4, 11, 0, 8, -21, 2, -8, 20, -20, -4, 2, -84, 12, 0, -24, -29, 4, -7, 54, 0, 11, -16, -12, 34, -14, -6, -77, -19, -9, 4, 8, -4, 0, 6, 34, 8, 0, -7, -25, -9, 14, -8, -16, -7, 16, 6, 12, -14, 54, -5, -21, 0, 24, 0, 10, -4, 80, 24, -8, -34, 6, -4, -30, 49, -2, -1, -84, -12, -9, 7, 0, -40, -14, 1, -63, 16, 77, -1, -14, -11, -36, -8, -6, -26, -6, 4, 40, 0, -6, 0, -28, 8, 29, 1, -23, -6, 28, -12, -53, 11, -7, 24, -42, 6, 0, 14, 12, 12, 0, -3, -10, 8, -13, -8, 60, -36, -48, 0, -2, -6, -54, 0, 13, -9, -2, 1, -44, 0, -35, 28, 15, -36, 18, -7, 5, -4, 16, 21, 0, 12, 15, -28, 28, 38, 54, -4, 0, 29, 31, 18, -42, 33, -13, -18, 7, 0, 36, -2, 60, 7, 0, -16, -30, -6, 35, 0, 8, 28, -20, -18, -13, -8, 0, -3, 28, -12, 77, -18, -12, -4, -84, 4, -8, 19, 0, -8, -12, -2, 28, 0, -7, -24, 20, -21, -25, -29, 12, 2, 44, 1, -21, 22, 19, 0, 54, -4, 0, -15, -4, -26, -18, -28, 4, -21, -12, -22, 20, -1, -2, -49, 22, -12, 0, 0, -43, -4, -24, -42, -8, -2, 10, -8, -28, -12, -18, 3, 16, -2, 21, 16, 0, 0, -33, 7, 0, -14, 28, 20, 7, 12, 14, 44, 6, -1, -25, -2, 24, -17, -126, -21, 0, -16, 7, -36, -64, -10, -24, -8, -24, -3, 18, 28, -31, 18, 0, 18, 22, -2, -4, 0, -18, -24, 30, 10, -108, 7, 20, -34, 40, 2, 16, 0, -13, 18, 60, 7, -96, -28, 0, 30, -12, 11, 14, 19, -10, -21, 4, 3, 0, 20, -7, -28, 36, 2, 45, 41, -4, 0, 8, -12, -16, 4, -14, -14, 6, 0, 22, 38, -10, -12, -6, -16, 32, -6, -2, -18, 0, -9, -13, 23, -18, -4, 0, 4, -4, 34, 48, -54, -28, -7, 43, -41, 21, 14, -36, 0, -56, -7, 30, 0, 32, 12, -70, 19, -26, -5, 32, 9, -6, 24, 2, 0, 4, -4, 0, -14, 0, -8, 32, 2, 56, -4, 3, 18, 24, -2, -112, -13, 14, -12, 12, 28, 67, 0, -6, 28, -84, 1, -49, -12, -23, 77, 38, -3, 27, -11, 16, 30, -18, -6, 0, -72, 0, 4, 14, 3, 72, -6, -23, -10, 36, 8, -3, 10, 2, -23, 44, 0, 12, -12, 4, 0, -36, -7, -7, -16, 72, 6, 60, 5, -63, 12, -18, 2, 0, -3, 72, -1, -16, -13, 0, -11, -63, -36, -8, -38, 32, -2, -24, -30, -20, 0, 48, 4, -8, -2, 84, 40, 8, 0, 12, -8, 29, 15, -6, 7, -48, -7, 0, -28, 30, 16, 39, -12, -34, 12, 104, 6, 0, 28, 19, 84, -14, -4, 21, 0, 4, 31, 0, -6, -23, 33, -8, -8, 4, 7, 16, 0, 9, -2, -8, 8, 0, 0, 7, 6, 48, -6, -42, 3, 14, 8, -8, 5, 29, -18, 0, -4, 28, 0, -45, 56, 4, -12, -14, -24, -48, -12, 34, -16, -42, 4, -36, -27, -49, 0, 68, 1, 4, -2, 12, 44, 0, -7, 33, -37, 40, -21, -2, -1, 13, 12, -16, 0, 0, 1, -72, -30, 11, 19, -14, 8, 24, -4, 26, 6, 66, -4, 27, -35, 0, -28, 32, 0, 56, -12, -8, 26, 42, -1, 21, -72, 6, 22, -16, 12, 112, 0, -11, -6, -4, -24, 0, -31, -6, -2, 84, -14, -4, -28, -12, -80, 48, 3, 0, 23, -8, 21, 28, 8, -2, 0, 36, 42, 32, 0, -11, -18, 6, 20, 42, 0, -44, 14, 9, -42, 48, -1, -16, 5, 0, 24, 12, -28, 1, -21, 36, 6, 0, 7, 25, 11, 4, -10, -30, -21, -136, -24, -12, 0, 60, 28, 15, 4, -38, 0, -56, 4, -32, -2, -29, 28, -50, -18, -49, 49, -33, 10, 0, 18, -17, 20, 0, -6, -18, 2, -96, 7, -7, -13, 12, 16, -49, 7, 6, 6, 32, 0, -11, 0, -28, 11, -4, 18, 21, -10, 8, 6, -4, 3, -74, 48, 12, -7, 38, 18, 0, 2, 4, -36, -32, -4, -3, 36, -19, -12, -168, 8, 79, -14, 2, 44, -18, 0, 8, 0, 24, -10, 0, 21, -36, -16, 29, -12, -4, -2, 24, -44, -1, -9, 0, -22, 0, -18, 0, 8, 92, 4, 19, 45, 15, 48, -40, 26, -1, -7, 28, 0, -42, 21, -15, -24, 22, 0, -72, 1, -33, 30, 49, -40, 12, 12, -25, 13, 0, -26, 52, 4, 3, 9, 42, 144, 0, 2, -63, -21, 8, -4, 18, 12, 65, 0, -3, -28, -126, 2, 8, 9, -16, 3, -36, 0, -24, -2, -7, -6, -60, 14, 0, -7, -20, 28, -12, -12, 19, -6, -44, -6, 14, 1, 0, -48, 2, -23, -48, 17, -112, -3, 21, 10, -14, 16, 9, 21, 36, -6, -124, 10, 32, 0, 8, -72, 0, 3, 42, 19, -28, -23, -42, -18, 56, 8, -18, 24, -28, 2, 0, 41, 0, 0, 4, 24, 24, 4, -10, 10, -22, -7, 79, 0, 34, 72, -14, -2, 57, 5, 0, 0, -66, -18, -55, 48, -7, -3, 22, 28, 48, -16, -30, -4, -84, -11, 5, 0, -19, -8, 0, 21, 147, -2, -3, 8, 78, -20, -14, 20, 28, 4, 20, -2, 0, 84, -41, -12, 24, 0, -33, 24, 12, 29, -6, -4, -68, 7, 14, -54, -76, 0, -12, -11, -38, 16, 54, 12, 0, -34, 16, 14, 0, 6, 6, 77, 18, 19, 0, 9, 48, -4, -23, -8, 72, 4, 33, 0, -4, -6, -88, -34, 16, -8, 54, 0, -72, 7, -51, 25, 41, 9, 72, -14, -5, 8, 0, 16, 54, 7, 112, -16, 0, -6, 70, -12, 1, 14, -19, -54, -84, 5, 24, 21, -9, 0, -18, -24, -24, 0, 0, -10, -48, 4, 48, -80, 14, -24, 78, 8, -56, 34, -2, -6, 0, 4, 0, 30, -18, -49, -66, 2, -8, 1, 13, 84, -38, 12, -59, 9, -28, -7, -126, 0, 78, 40, -28, 14, 12, -1, 96, 63, 12, -16, 50, -77, 28, 1, 3, 14, 0, 11, 0, 36, -30, 8, -28, 6, -140, 26, 72, 6, 12, -4, 24, -40, -3, 0, -58, 6, -55, 0, 10, 28, 74, -8, 36, -29, -10, -1, 52, 23, 39, 6, 0, -28, 4, 12, -2, 53, 0, -11, 46, 7, 55, -24, 16, 42, -26, -6, 40, 0, -5, -14, -8, -12, -3, -12, -2, 0, 28, 3, 43, 10, 1, -8, 14, 13, 51, 8, 11, -60, 30, 36, -53, 48, 38, 0, 0, 2, 56, 6, 30, 54, -24, 0, 49, -13, -4, 9, 40, 2, 72, -1, -40, 44, -54, 0, -25, 35, 8, -28, 0, -15, 8, 36, -7, -18, -50, 7, 72, -5, 28, 4, 78, -16, 0, -21, 12, 0, -132, -12, 3, -15, -6, 28, -82, -28, 27, -38, -84, -54, 36, 4, -66, 0, 0, -29, 84, -31, -120, -18, 6, 42, -18, -33, -40, 13, 8, 18, 104, -7, 14, 0, 0, -36, 74, 2, -31, -60, -8, -7, 12, 0, 77, 16, -6, 30, 42, 6, 0, -35, -3, 0, -26, -8, 71, -28, -5, 20, -12, 18, 27, 13, 4, 8, 60, 0, 43, 3, -56, -28, 0, 12, 36, -77, 24, 18, -12, 12, 24, 4, 16, 84, 0, -4, 75, 8, 27, -19, 92, 0, -20, 8, -1, 12, -42, 2, -16, -28, -44, 0, -102, 7, -85, 24, 37, -20, -42, 21, 0, 25, 1, 29, -14, -12, -42, -2, 0, -44, 92, -1, 161, 21, 30, -22, 2, -19, 47, 0, -8, -54, -22, 4, -43, 0, -6, 15, 44, 4, -16, 26, 35, 18, -72, 28, -83, -4, 0, 21, -198, 12, 0, 22, -26, -20, 40, 1, 24, 2, 72, 49, -72, -22, -40, 12, -12, 0, -56, 0, 64, 43, 6, 4, -84, 24, -24, 42, 31, 8, 32, 2, 7, -10, 14, 8, 0, 28, 3, 12, 80, 18, -76, -3, 21, -16, -23, 2, 6, -21, -231, -16, -8, 0, 28, 0, 77, 33, -42, -7, -116, 0, 73, 14, 18, -28, 20, -20, -58, -7, 0, -12, -84, -14, 0, -44, 42, -6, 4, 1, 136, 25, -5, 2, -42, -24, -80, 17, 28, 126, -76, 21, 69, 0, -6, 16, -18, -7, -8, 36, -11, 64, 84, 10, 0, 24, 21, 8, -50, 24, 32, 3, 0, -18, -40, -28, -66, 31, -4, -18, -36, 0, 12, -18, -4, -22, -44, 2, 14, 4, -28, 0, 84, 18, 39, 24, -49, -30, 0, -10, -56, 108, -18, -7, 36, -20, 47, 34, 6, -40, 0, -2, -29, -16, -7, 0, -88, 13, 48, -18, -16, -60, 6, -7, -74, 96, -6, 28, 14, 0, -136, -30, 0, 12, -46, -11, -59, -14, -18, -19, 196, 10, 48, 21, -6, -4, -60, -3, 0, 0, -48, -20, 22, 7, -24, 28, -18, -36, -84, -2, -110, -45, 36, -41, -84, 4, 0, 0, -36, -8, 64, 12, 34, 16, -8, -4, -28, 14, -93, 14, -44, -6, -42, 0, 5, -22, 0, -38, -10, 10, -104, 12, -21, 6, 58, 16, 8, -32, 12, 6, 0, 2, -28, 18, 44, 0, 0, 9, 34, 13, 22, -23, 78, 18, 21, 4, -8, 0, -140, -4, -24, 4, -45, -34, 0, -48, 8, 54, -26, 28, 44, 7, -8, -43, 0, 41, 4, -21, 15, -14, 24, 36, 24, 0, 147, 56, -1, 7, 36, -30, 48, 0, 40, -32, -14, -12, 5, 70, -13, -19, 22, 26, 0, 5, -4, -32, 60, -9, 0, 6, -144, -24, 42, -2, 15, 0, 21, -4, 20, 4, -24, 0, -12, 14, -34, 0, 95, 8, 28, -32, -36, -2, 65, -56, -9, 4, -70, -3, 12, -18, 0, -24, 0, 2, -57, 112, 6, 13, 12, -14, -99, 12, 7, -12, 40, -28, 72, -67, 12, 0, -16, 6, -49, -28, 6, 84, 62, -1, 62, 49, 48, 12, 8, 23, 8, -77, -17, -38, 0, 3, 152, -27, -10, 11, 36, -16, -66, -30, -21, 18, 116, 6, 39, 0, -10, 72, 60, 0, -7, -4, 72, -14, 14, -3, 48, -72, -19, 6, -34, 23, 0, 10, 18, -36, 84, -8, 0, 3, -24, -10, 28, -2, 64, 23, -41, -44, -2, 0, -63, -12, -24, 12, 18, -4, -27, 0, -10, 36, -50, 7, 112, 7, 0, 16, 0, -72, -53, -6, 2, -60, -22, -5, 70, 63, 0, -12, -42, 18, 4, -2, -48, 0, -10, 3, -65, -72, -28, 1, -86, 16, -16, 13, 4, 0, 30, 11, 21, 63, 0, 36, 76, 8, -83, 38, -21, -32, 0, 2, 46, 24, -8, 30, 0, 20, -85, 0, -20, -48, 72, -4, -66, 8, 2, 2, 4, -84, 35, -40, 12, -8, -116, 0, 0, -12, -24, 8, 24, -29, -63, -15, 4, 6, 12, -7, 1, 48, 54, 7, -20, 0, 0, 28, 11, -30, 18, -16, 28, -39, -12, 12, -60, 34, 72, -12, -14, -104, 0, -6, 12, 0, -77, -28, -34, -19, 39, -84, -9, 14, 28, 4, -88, -21, 8, 0, -66, -4, -13, -31, 0, 0, -196, 6, 1, 23, 34, -33, -8, 8, -52, 8, 0, -4, 30, -7, -37, -16, -25, 0, 40, -9, -168, 2, 14, 8, -58, -8, 21, 0, -16, 0, -22, -7, 56, -6, 16, -48, 0, 6, 41, 42, 12, -3, -48, -14, 0, -8, 54, 8, -76, -5, 64, -29, -21, 18, 42, 0, 23, 4, 24, -28, 28, 0, 22, 45, 10, -56, 78, -4, 30, 12, 80, 14, -2, 24, 0, 48, -8, 12, 0, -34, 96, 16, 6, 42, 24, -4, -21, 36, -30, 27, -8, 49, -56, 0, -2, -68, 12, -1, -36, -4, -84, 2, -42, -12, -35, -44, -9, 0, -4, 7, -144, -33, 0, 37, -12, -40, 8, 21, -14, 2, -32, 1, 37, -13, -63, -12, 0, 16, 35, 0, 77, 0, 38, -1, -8, 72, -14, 30, -90, -11, 72, -19, -36, 14, 74, -8, 0, -24, -6, 4, 0, -26, 78, -6, -6, -66, -28, 4, 17, -27, 40, 35, -42, 0, -36, 28, -6, -32, 58, 0, -136, -56, -28, 12, 58, 8, 65, -26, 29, -42, 0, 1, -49, -21, -23, 72, -16, -6, 0, -22, 28, 16, 36, -12, -2, -112, -53, 0, 12, 11, 120, 6, -7, 4, -46, 24], "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": "114.2.e.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], [-4], [-1], [-3], [-1], [1], [4], [2], [1], [7], [3], [-4], [1], [0], [-1], [0], [-4], [-3], [-2], [-4], [-1], [11], [-7], [1], [-3], [-4], [4], [-1], [-1], [2], [0], [12], [1], [-7], [0], [7], [4], [-4], [3], [7], [2], [-4], [4], [2], [1], [2], [-11], [0], [7], [4], [-1], [-8], [3], [0], [4], [6], [-4], [-1], [1], [-3], [1], [-28], [-2], [-3], [0], [-4], [-12], [-2], [-1], [-3], [7], [11], [0], [-6], [-7], [-5], [-4], [1], [4], [-12], [-3], [0], [-7], [-4], [-2], [-18], [4], [-21], [-4], [-1], [-2], [0], [-1], [-10], [-2], [2], [11]]}