# Stored data for newform 3381.2.a.f, downloaded from the LMFDB on 23 April 2024.
{"label": "3381.2.a.f", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170410293, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2013643811789587569, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [5, [0, 1]], [11, [-5, 1]], [13, [4, 1]]], "qexp_display": "q-q^{3}-2q^{4}+q^{9}+5q^{11}+2q^{12}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 1, "level_radical": 483, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7, 23], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "0.978", "prec": 17}, {"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.904", "prec": 17}, {"__RealLiteral__": 0, "data": "0.127", "prec": 17}, {"__RealLiteral__": 0, "data": "4.674", "prec": 17}], "related_objects": ["EllipticCurve/Q/3381/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [7, -1], [23, -1]], "trace_display": [0, -1, 0, 0], "traces": [0, 1, 0, -1, -2, 0, 0, 0, 0, 1, 0, 5, 2, -4, 0, 0, 4, -2, 0, -3, 0, 0, 0, 1, 0, -5, 0, -1, 0, -8, 0, 10, 0, -5, 0, 0, -2, 4, 0, 4, 0, -7, 0, 10, -10, 0, 0, 3, -4, 0, 0, 2, 8, 3, 0, 0, 0, 3, 0, 13, 0, 9, 0, 0, -8, 0, 0, 8, 4, -1, 0, -6, 0, -8, 0, 5, 6, 0, 0, 0, 0, 1, 0, -18, 0, 0, 0, 8, 0, -14, 0, 0, -2, -10, 0, 0, 0, -18, 0, 5, 10, 5, 0, -13, 0, 0, 0, 12, 2, -16, 0, -4, 0, 10, 0, 0, 16, -4, 0, 0, 0, 14, 0, 7, -20, 0, 0, 1, 0, -10, 0, -21, 10, 0, 0, 0, 0, -9, 0, -14, 0, -3, 0, -20, 4, 0, 0, 0, -8, -11, 0, -19, 0, -2, 0, 0, -8, -19, 0, -3, 0, 0, 0, 1, 14, 0, 0, 19, 0, 3, 0, -3, -20, -6, 0, 0, 20, -13, 0, -6, 0, -2, 0, -9, 0, 0, 0, -10, -6, 0, 0, -13, 8, 9, 0, 0, 0, 18, 0, 1, 0, -8, 0, 0, -4, 0, 0, 1, -16, -15, 0, -23, -6, 6, 0, 0, 0, 0, 0, 8, 0, 8, 0, -2, 0, -5, 0, 12, -6, 13, 0, 0, 0, 16, 0, 0, -26, 0, 0, -10, 0, 7, 0, -1, -18, 0, 0, 12, 0, 18, 0, -2, 0, 5, 0, 0, 16, 13, 0, 0, 0, -8, 0, -7, 0, 0, 0, 14, -16, -18, 0, -6, -8, 0, 0, -25, 2, -21, 0, 10, 0, 6, 0, 20, 12, 0, 0, 0, 0, -13, 0, 18, 16, -22, 0, 0, 0, -5, 0, -4, -10, 0, 0, -5, -12, 0, 0, 22, 0, 13, 0, -27, 0, 13, 0, 0, 0, 2, 0, -40, 0, -12, 0, 6, -2, 20, 0, 16, 0, 0, 0, 1, 36, 4, 0, 0, 0, -22, 0, -10, 0, 50, 0, 0, 0, 0, 0, 14, -16, -10, 0, 4, 0, 18, 0, 0, 28, 0, 0, 32, 0, -10, 0, -14, 0, 0, 0, -23, 4, -7, 0, 0, 20, -4, 0, 0, 0, 32, 0, -20, 0, -1, 0, -18, 0, 0, 0, 10, 36, -6, 0, -2, 0, 21, 0, 0, -10, 14, 0, 0, -20, 25, 0, -40, -10, 0, 0, 20, 0, 12, 0, 9, 26, 0, 0, 0, 0, 14, 0, -28, 0, -6, 0, 3, 0, 10, 0, 0, -24, 20, 0, 5, -4, -21, 0, 0, 32, -3, 0, -8, 0, 0, 0, -28, 8, 0, 0, 11, 0, 8, 0, -35, -20, 19, 0, 0, 0, -22, 0, 2, 0, -18, 0, 13, -32, 0, 0, 12, 8, 0, 0, 19, 0, 50, 0, 15, 0, 3, 0, -32, 0, -16, 0, 0, -28, 0, 0, 40, 0, -1, 0, -12, -14, 16, 0, 0, 40, 0, 0, 28, 0, -19, 0, -6, 0, 0, 0, -3, -2, 1, 0, 0, 0, 3, 0, 0, 20, 15, 0, 6, 0, -20, 0, -7, 42, 0, 0, -20, -20, 1, 0, 13, 0, 28, 0, 0, 0, 6, 0, 0, 0, -25, 0, 2, 0, 0, 0, -28, 18, 9, 0, 24, 0, 0, 0, 0, 28, 18, 0, -40, 0, 10, 0, 36, 6, 0, 0, 0, 0, -19, 0, -10, 40, 13, 0, -5, -8, -38, 0, -9, 0, 0, 0, 15, 0, 0, 0, 3, 0, -30, 0, -18, 16, 6, 0, 0, 22, -1, 0, 2, 0, 34, 0, 8, 38, 0, 0, -4, 0, 0, 0, -12, 4, -24, 0, 0, 0, -22, 0, -28, 0, -1, 0, 0, 16, 25, 0, 15, 38, -8, 0, -12, 0, 23, 0, 0, 6, 0, 0, -6, 0, 41, 0, -29, 0, 0, 0, 16, 0, 65, 0, 0, -2, 30, 0, 0, -28, -8, 0, -28, 0, -31, 0, -8, 0, 0, 0, -8, -38, 2, 0, 45, 0, -7, 0, 5, -6, -22, 0, 0, 0, -12, 0, -4, 6, 0, 0, -13, 40, -12, 0, 48, 12, 0, 0, 0, 0, 14, 0, -16, 0, 27, 0, -12, -40, 0, 0, 0, 26, -38, 0, 0, 0, 10, 0, 0, 12, 10, 0, 44, 0, 0, 0, -7, 4, 40, 0, 27, 0, 1, 0, -20, 18, 14, 0, 0, 0, 40, 0, -20, 0, -12, 0, 41, 0, 0, 0, -18, 20, 0, 0, -10, 12, 2, 0, 0, 0, -46, 0, -5, 0, -9, 0, 0, 26, 0, 0, -52, -16, 34, 0, -13, -18, 18, 0, -50, 0, 0, 0, 21, 0, -30, 0, 8, 0, 0, 0, -1, -36, 7, 0, 0, 0, -36, 0, 0, -2, 8, 0, -6, 0, -14, 0, -40, 16, 0, 0, 18, 0, 4, 0, 12, 0, 6, 0, 0, 8, -30, 0, 0, 0, -32, 0, -9, 0, 25, 0, -3, -2, 6, 0, 21, 32, 0, 0, 0, 30, -10, 0, 44, 0, 35, 0, -6, 46, 0, 0, 0, 12, -20, 0, 4, -12, -4, 0, 0, 0, -7, 0, 6, 0, 0, 0, 52, 0, 0, 0, 13, 0, 0, 0, -32, 0, -18, 0, 0, -16, -49, 0, 22, 0, 12, 0, 12, -16, 0, 0, 20, 0, 0, 0, 5, 4, -9, 0, 0, 0, 4, 0, -80, 10, -6, 0, 0, 0, 0, 0, -52, -24, 5, 0, 48, 12, -90, 0, 0, -26, 0, 0, 10, 0, -22, 0, 24, 0, -20, 0, -13, 0, -6, 0, 0, -32, 27, 0, 0, 0, 31, 0, -13, 0, -6, 0, -7, 52, 0, 0, -24, 0, 32, 0, -2, 0, -33, 0, 0, 20, 40, 0, 0, 0, 69, 0, 12, -14, 0, 0, 40, 0, -6, 0, 40, 2, 0, 0, -20, 36, -29, 0, -70, 0, -16, 0, -36, 0, 0, 0, 0, -24, 10, 0, -19, 0, -1, 0, 0, -36, 50, 0, -4, 0, 0, 0, -26, 4, 0, 0, -9, 0, -42, 0, 22, -10, 41, 0, 0, 0, 10, 0, 57, 0, -10, 0, -50, -32, 35, 0, 0, -26, 0, 0, -39, 0, 38, 0, 0, 0, -18, 0, 58, 0, -14, 0, 0, 16, 0, 0, 10, 0, -36, 0, 3, 14, -4, 0, 0, 0, 0, 0, -18, 0, 28, 0, 5, 0, 0, 0, -90, -28, 10, 0, 0, 32, -32, 0, -50, 36, -32, 0, 72, 0, 3, 0, 10, 12, 0, 0, -37, 16, 14, 0, -8, 0, 9, 0, 0, 0, -43, 0, 0, 50, 23, 0, -3, -4, 0, 0, 7, 42, 34, 0, 25, 0, 0, 0, 0, -20, -19, 0, 4, 0, -39, 0, 4, -12, 0, 0, 0, 0, -31, 0, -32, -40, -65, 0, 0, -24, 20, 0, -16, 0, 0, 0, 1, 0, 0, 0, 40, 0, 18, 0, 8, 0, 34, 0, 0, 26, 56, 0, -27, 0, -10, 0, -66, -36, 0, 0, 6, -32, 0, 0, 28, 44, 2, 0, -15, 0, 60, 0, -21, 0, 65, 0, 0, 0, 0, 0, 9, 10, 56, 0, -14, 0, 30, 0, 0, 8, 0, 0, -80, 20, -32, 0, -25, 0, 0, 0, 12, 0, 40, 0, 0, 10, 16, 0, 0, 24, 30, 0, 3, 0, -20, 0, -17, 0, 0, 0, -12, -44, 15, 0, 30, 0, -9, 0, 0, -26, 28, 0, 0, 0, 16, 0, 50, 54, 0, 0, -80, 0, -27, 0, -14, -26, 0, 0, 0, 0, 28, 0, -10, 0, 72, 0, 6, 0, 0, 0, 0, -4, -3, 0, -70, 0, -24, 0, -10, 80, 51, 0, 32, 0, 0, 0, -28, 24, 0, 0, -20, 0, -18, 0, 0, -12, -5, 0, 0, 4, 29, 0, 21, -40, -21, 0, 58, 0, 0, 0, -24, -32, 0, 0, 3, 0, -20, 0, 0, 0, 8, 0, 48, 0, 10, 0, 0, -2, -15, 0, 27, -72, 28, 0, 15, -8, 100, 0, 0, 0, 0, 0, 52, 0, -11, 0, 0, 0, 0, 0, -8, 44, 18, 0, 0, 0, 35, 0, 0, 20, 13, 0, -19, 0, 50, 0, -24, -100, 0, 0, 48, 0, -21, 0, 22, 0, -30, 0, 0, 0, -2, 0, 0, 0, -33, 0, 18, 0, 0, 0, 24, -28, -13, 0, -48, 32, 0, 0, 0, 20, 5, 0, 5, 0, -12, 0, 9, -8, 0, 0, 0, 0, -6, 0, 36, -36, -19, 0, 0, 0, 64, 0, -50, 0, 0, 0, 4, -56, -15, 0, 7, 0, 33, 0, -3, 0, 74, 0, 0, -64, 32, 0, 42, 0, -105, 0, 16, 20, 0, 0, -56, 0, 0, 0, -44, 28, 21, 0, 0, 0, 30, 0, -40, 0, -40, 0, 0, 0, 0, 0, 1, 46, -40, 0, -46, -8, 12, 0, -65, 14, 0, 0, -16, 0, -20, 0, 23, 0, 0, 0, 6, -40, -5, 0, 0, 8, -6, 0, 0, 0, -28, 0, -60, 0, 0, 0, 19, 0, 0, 0, -45, -64, 6, 0, 8, 0, 28, 0, 0, 40, -28, 0, 0, 0, 3, 0, -37, 2, -45, 0, -1, 0, -70, 0, 20, 36, 0, 0, 0, 0, -24, 0, -3, 0, 8, 0, -26, 0, 0, 0, 0, -20, -73, 0, -15, -72, 41, 0, 0, 12, -6, 0, 41, 0, 0, 0, 20, 4, 0, 0, -56, 0, 7, 0, -18, -42, -56, 0, 0, 0, 54, 0, -10, 0, 20, 0, -9, 20, 0, 0, -1, -28, 0, 0, 40, 0, -13, 0, 0, 0, 30, 0, -28, 40, -44, 0, 0, -50, 0, 0, 3, 0, -15, 0, -6, 80, -18, 0, 0, 20, 0, 0, 46, 0, 36, 0, 25, 0, 0, 0, -17, -40, -2, 0, 0, 0, -6, 0, 0, -24, -9, 0, -55, 0, 28, 0, 30, -18, 0, 0, -9, -52, 36, 0, -4, 0, -24, 0, 0, 0, -76, 0, 0, 0, -95, 0, 34, 0, 0, 0, -3, -28, 26, 0, -18, 0, 0, 0, -40, 56, 40, 0, -8, 0, 8, 0, -10, 12, 0, 0, 0, 0, -36, 0, 42, -6, -7, 0, 0, 0, 51, 0, 53, -20, 0, 0, 84, 0, 0, 0, 19, 0, 19, 0, -104, 48, 10, 0, 0, -40, -10, 0, -13, 0, 32, 0, -6, -10, 5, 0, -95, 8, 0, 0, 38, 42, -2, 0, 0, 0, 9, 0, 12, 0, -10, 0, 0, -64, 0, 0, 42, 6, -15, 0, 26, 0, 14, 0, 0, 16, 0, 0, -44, 0, -3, 0, -70, 0, 0, 0, 30, 0, -72, 0, 0, 56, 18, 0, 30, -16, -76, 0, -6, 0, 36, 0, -56, 0, 0, 0, -6, -22, 31, 0, 1, 0, 5, 0, 0, -16, -2, 0, 0, 0, -64, 0, -34, 70, 0, 0, 56, 40, -8, 0, -78, -38, 0, 0, 0, 0, 0, 0, -24, 0, 4, 0, 39, 0, 40, 0, 0, 44, 130, 0, -60, 0, 12, 0, 0, -4, 95, 0, 24, 0, 0, 0, 54, 36, 0, 0, -32, 0, 57, 0, 22, -26, 32, 0, 0, 64, 28, 0, 15, 0, -2, 0, 1, 0, 0, 0, -8, -24, 0, 0, 84, -16, -44, 0, -25, 0, -29, 0, 2, 0, -15, 0, 0, -38, 0, 0, 8, 0, -10, 0, 90, -100, 12, 0, 0, 0, 0, 0, -23, -30, -51, 0, -30, 0, 0, 0, -16, -6, -18, 0, 0, 0, -74, 0, 0, 64, 6, 0, -15, 0, -20, 0, -41, 32, 0, 0, -21, 0, 29, 0, 34, 0, -10, 0, 0, 56, 44, 0, 0, 0, -16, 0, -64, 0, 0, 0, -65, -80, -62, 0, -28, 0, 0, 0, 0, 2, 39, 0, -30, 0, 12, 0, 76, 24, 0, 0, 0, 28, -30, 0, 8, -32, -41, 0, 0, 0, 28, 0, -55, 0, 0, 0, 31, -80, 0, 0, 36, 0, 8, 0, -10, 0, -66, 0, 0, -56, 82, 0, 40, 0, 8, 0, -14, 38, 0, 0, -2, 0, 0, 0, 2, 12, -45, 0, 0, 0, -45, 0, 7, 0, 30, 0, 0, 0, -5, 0, -74, 6, 19, 0, 22, 4, -36, 0, 0, -2, 0, 0, 13, 0, 76, 0, 12, 0, 0, 0, -14, 0, 4, 0, 0, -6, 34, 0, 0, 0, -28, 0, 48, 0, 13, 0, -39, -40, 0, 0, 12, -30, -54, 0, 48, 0, -48, 0, 90, -12, 80, 0, 0, 0, 11, 0, -4, 40, 0, 0, -23, 0, 11, 0, -14, 14, 0, 0, 0, -84, 16, 0, 9, 0, -65, 0, -27, 0, 0, 0, 0, 40, 12, 0, -50, 40, -69, 0, 0, -2, 64, 0, -4, 0, 0, 0, 45, -26, 0, 0, 38, 0, 0, 0, 15, -56, 0, 0, 0, 0, -44, 0, -10, 0, -7, 0, 23, 0, 0, 0, -30, -12, 0, 0, -10, 0, -61, 0, 0, 0, -44, 0, -2, 0, -5, 0, 0, 50, 0, 0, 90, 0, 7, 0, -76, -4, -21, 0, -40, 0, 0, 0, -34, 0, -27, 0, 52, 0, 0, 0, -1, 56, 5, 0, 0, -36, 20, 0, 0, -18, 40, 0, -14, 0, -60, 0, -70, -48, 0, 0, 45, 0, -38, 0, -40, 0, 25, 0, 0, 0, 20, 0, 0, 0, -54, 0, 12, -56, 70, 0, 42, -36, -41, 0, -18, 0, 0, 0, 0, 80, 48, 0, -72, 0, 18, 0, -53, -20, 0, 0, 0, 0, 24, 0, 56, -72, 10, 0, 0, -12, 36, 0, -2, 0, 0, 0, -80, 0, 0, 0, -19, 0, -22, 0, 46, 0, -10, 0, 0, 38, 5, 0, 30, 0, 22, 0, 9, 20, 0, 0, -8, -80, 0, 0, 0, -26, 26, 0, 0, 0, 5, 0, -42, 10, 52, 0, 0, 16, 0, 0, -34, 76, -9, 0, -24, 0, 13, 0, 0, 18, 0, 0, -18, 0, -115, 0, 5, 0, 50, 0, 24, 0, 18, 0, 0, -30, -9, 0, 0, 0, -21, 0, 12, 0, -20, 0, 30, 0, 0, 0, -53, -6, -8, 0, -56, 0, 8, 0, 0, 60, 42, 0, 0, 0, 1, 0, 28, 36, 0, 0, -7, -32, -13, 0, -86, -12, 0, 0, 0, 0, -5, 0, 36, 0, -32, 0, 79, -44, 0, 0, 0, 2, -38, 0, -8, 0, -11, 0, 0, -4, 6, 0, 40, 0, 0, 0, 14, -68, 0, 0, 144, 0, 40, 0, 18, -16, -3, 0, 0, -76, -72, 0, -91, 0, -18, 0, 18, 0, 90, 0, -4, 8, 0, 0, 40, 0, -12, 0, 0, 0, 44, 0, -6, 0, 35, 0, 0, 24, 0, 0, 96, -8, 0, 0, 30, 48, -10, 0, 0, 0, 0, 0, 15, 0, 12, 0, 32, 0, 0, 0, 70, 44, 9, 0, 0, 0, -25, 0, -25, 56, 71, 0, 32, 0, 3, 0, 52, 2, 0, 0, -6, 0, 63, 0, 9, 0, -21, 0, 0, -32, 60, 0, 0, -50, -63, 0, 66, 0, 0, 0, -16, -30, -36, 0, 10, -76, 0, 0, 0, 16, -44, 0, 65, 0, -68, 0, -35, 24, -25, 0, 0, 0, 6, 0, -30, -46, 22, 0, 0, 0, 130, 0, -62, 0, 0, 0, -24, -12, 0, 0, 20, 0, 57, 0, -77, 0, -4, 0, 0, 12, -66, 0, 4, 0, -72, 0, 80, -82, 0, 0, 38, 0, 0, 0, 7, 58, -180, 0, 65, 0, -6, 0, 100, 0, 112, 0, 0, 0, 0, 0, -4, -32, -52, 0, 79, 0, -1, 0, 0, -130, 0, 0, 10, 0, -13, 0, 27, 0, 0, 0, 0, 4, 92, 0, 0, -60, 32, 0, 0, 0, -10, 0, 18, 0, -48, 0, 90, 56, 0, 0, -24, 16, -50, 0, 49, 0, 26, 0, 0, 56, -22, 0, 0, 0, 42, 0, -12, 62, 0, 0, 27, 0, -12, 0, 35, 16, 0, 0, 0, 0, -24, 0, -28, 0, -20, 0, 1, 0, 0, 0, 0, 16, 38, 0, 43, 76, -5, 0, -60, -4, 64, 0, 9, 0, 0, 0, 44, -90, 0, 0, 26, 0, -8, 0, -4, 14, -99, 0, 0, 0, 80, 0, 74, -10, -32, 0, 6, 12, 0, 0, -78, 44, 0, 0, 51, 0, 34, 0, 0, 0, 60, 0, 17, 0, 52, 0, 0, 24, 80, 0, -5, 0, 52, 0, 90, 8, -48, 0, 0, -12, 0, 0, 90, 0, 60, 0, 92, 0, 0, 0, -56, 26, 40, 0, 0, -80, 98, 0, 0, 24, -10, 0, -140, 0, -10, 0, 22, -96, 0, 0, -32, -24, -24, 0, -2, 0, 39, 0, 20, 0, 84, 0, 0, 0, 13, 0, 14, 0, 0, 0, 6, -28, -25, 0, 82, 0, 0, 0, 0, 32, 28, 0, -27, 0, -38, 0, 4, -54, 0, 0, 0, 0, -44, 0, -31, 24, 144, 0, 0, 80, 13, 0, -32, 0, 0, 0, 6, 0, -50, 0, 65, 0, 7, 0, 33, -52, 46, 0, 0, 76, -46, 0, -38, 0, 24, 0, 81, 0, 0, 0, -32, 0, 0, 0, -62, -20, 2, 0, 0, 0, 4, 0, 33, 0, -82, 0, 0, -24, 0, 0, 27, -20, 57, 0, -40, 0, -6, 0, 0, -88, 0, 0, -16, 0, 80, 0, -69, 0, 0, 0, -52, 0, -12, 0, 0, 14, -35, 0, 0, -8, -90, 0, 8, -80, -40, 0, 66, 0, 0, 0, 6, -54, -78, 0, 42, 0, -40, 0, 0, -2, 35, 0, 0, 0, 1, 0, 0, 40, 20, 0, -72, -36, -40, 0, 29, -28, 0, 0, 0, 0, 70, 0, -44, 0, 12, 0, 16, 0, 0, 0, 0, -80, 36, 0, -48, 0, 54, 0, 0, 40, 53, 0, -90, 0, 0, 0, -101, 24, 0, 0, -10, 0, -76, 0, -96, -82, 19, 0, 0, 0, -52, 0, 1, 0, -30, 0, 57, 0, 0, 0, 104, 36, 0, 0, -50, -40, 56, 0, 0, 0, 4, 0, -39, 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": "3381.2.a.f", "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], [0], [-1], [-2], [0], [0], [0], [0], [1], [0], [5], [2], [-4], [0], [0], [4], [-2], [0], [-3], [0], [0], [0], [1], [0], [-5], [0], [-1], [0], [-8], [0], [10], [0], [-5], [0], [0], [-2], [4], [0], [4], [0], [-7], [0], [10], [-10], [0], [0], [3], [-4], [0], [0], [2], [8], [3], [0], [0], [0], [3], [0], [13], [0], [9], [0], [0], [-8], [0], [0], [8], [4], [-1], [0], [-6], [0], [-8], [0], [5], [6], [0], [0], [0], [0], [1], [0], [-18], [0], [0], [0], [8], [0], [-14], [0], [0], [-2], [-10], [0], [0], [0], [-18], [0], [5], [10]]}