# Stored data for newform 1650.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "1650.2.a.k", "space_label": "1650.2.a", "level": 1650, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307261042, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 131681606789411691, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [-4, 1]], [13, [-6, 1]], [17, [2, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6600, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 13.175316333511264, "hecke_ring_index": 1, "level_radical": 330, "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": [1650, 1, [551, 727, 1201], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.026", "prec": 17}, {"__RealLiteral__": 0, "data": "0.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.092", "prec": 17}, {"__RealLiteral__": 0, "data": "1.952", "prec": 17}, {"__RealLiteral__": 0, "data": "0.267", "prec": 17}, {"__RealLiteral__": 0, "data": "4.887", "prec": 17}], "related_objects": ["EllipticCurve/Q/1650/k"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [11, 1]], "trace_display": [-1, 1, 0, 4], "traces": [0, 1, -1, 1, 1, 0, -1, 4, -1, 1, 0, -1, 1, 6, -4, 0, 1, -2, -1, 4, 0, 4, 1, -4, -1, 0, -6, 1, 4, 6, 0, 0, -1, -1, 2, 0, 1, -6, -4, 6, 0, -6, -4, -4, -1, 0, 4, 12, 1, 9, 0, -2, 6, -2, -1, 0, -4, 4, -6, 12, 0, -14, 0, 4, 1, 0, 1, -4, -2, -4, 0, -12, -1, 6, 6, 0, 4, -4, -6, -4, 0, 1, 6, -4, 4, 0, 4, 6, 1, 10, 0, 24, -4, 0, -12, 0, -1, 14, -9, -1, 0, 14, 2, 0, -6, 0, 2, -4, 1, -6, 0, -6, 4, -2, -4, 0, 6, 6, -12, -8, 0, 1, 14, -6, 0, 0, -4, -12, -1, -4, 0, 4, -1, 16, 4, 0, 2, -2, 4, -4, 0, 12, 12, -6, 1, 0, -6, 9, -6, -10, 0, 4, -4, -2, 4, 0, 6, 10, 4, -2, 0, -16, -1, 20, -6, 0, 4, 0, -4, 23, 0, 4, -4, 10, -6, 0, -1, 12, -10, 20, 0, -2, -24, -14, 4, 0, 0, 2, 12, 4, 0, -12, 1, -10, -14, 0, 9, 2, 1, -16, 0, -4, -14, 24, -2, 0, 0, -4, 6, -4, 0, -4, -2, -12, 4, 0, -1, 0, 6, 6, 0, -12, 6, 0, -4, 0, 2, -12, 4, 14, 0, -4, -6, -10, -6, 0, 12, -4, 8, 8, 0, 10, -1, 1, -14, 0, 6, 24, 0, -4, 0, -4, 4, 4, 12, 0, 1, -2, 4, -24, 0, 6, -4, 24, 1, 0, -16, 10, -4, 26, 0, 20, -2, 24, 2, 0, -4, -26, 4, 0, 0, -22, -12, -4, -12, 0, 6, -24, -1, -13, 0, 14, 6, -22, -9, 0, 6, -1, 10, -24, 0, -16, -4, 14, 4, 0, 2, -4, -4, 0, 0, 4, -6, -26, -10, 0, -4, -18, 2, -6, 0, -4, 16, -8, 1, 0, -20, -6, 6, 48, 0, 20, -4, -6, 0, 0, 4, -18, -23, -2, 0, 0, -4, 8, 4, 0, -10, 4, 6, -6, 0, 6, 1, -18, -12, 0, 10, -8, -20, 0, 0, -3, 2, 1, 24, 0, 14, 16, -4, -6, 0, -8, 0, 14, -2, 0, -12, 36, -4, -28, 0, -12, 12, 4, -1, 0, 10, -4, 14, -30, 0, 8, -9, 4, -2, 0, -1, -22, 16, 16, 0, -38, 4, 0, 14, 0, -24, 6, 2, -14, 0, -2, 0, 48, 4, 0, -6, -4, 4, -12, 0, -10, 4, 12, 2, 0, 12, -56, -4, -6, 0, 0, 1, -2, 0, 0, -6, -16, -6, 4, 0, 9, 12, -28, -6, 0, 0, -10, 4, -22, 0, 6, -2, 4, 12, 0, -4, -34, -14, -2, 0, 14, 4, 24, 6, 0, 10, -12, 6, -16, 0, 10, -12, 4, 4, 0, -8, -2, -8, 0, 0, -36, -10, -16, 1, 0, -1, 16, 14, 20, 0, -28, -6, -12, -24, 0, 0, -48, 4, -4, 0, 0, 4, -32, -4, 0, -4, 23, -12, -22, 0, 24, -1, 4, 2, 0, -4, -12, 24, 10, 0, 18, -6, -20, 4, 0, -24, 0, -1, -7, 0, 12, 16, -36, -10, 0, 4, 20, -26, -9, 0, -38, -20, -2, 2, 0, -24, 28, -2, -14, 0, 24, 4, -16, 26, 0, -4, -30, 0, -24, 0, 2, 22, 20, 12, 0, 4, 4, 12, 10, 0, -20, -6, -12, 24, 0, 1, 46, 13, -10, 0, -16, -14, 2, -6, 0, 22, 36, 9, 0, 0, 2, -6, 30, 1, 0, -10, -16, 24, 36, 0, 10, 16, -4, 4, 0, -14, -28, -4, 24, 0, 72, -2, 6, 4, 0, 4, 22, 0, -4, 0, -4, -4, 40, 6, 0, 26, -4, 10, 12, 0, -8, 4, -4, 18, 0, -2, 54, 6, -12, 0, 42, 4, 28, -16, 0, 8, 28, -1, -12, 0, 0, 20, -18, 6, 0, -6, 6, -48, -36, 0, -18, -20, -12, 4, 0, 6, -24, 0, 0, 0, 14, -4, -26, 18, 0, 23, -46, 2, 56, 0, -12, 0, -12, 4, 0, -8, 14, -4, -12, 0, -12, 10, -4, -4, 0, -6, 12, 6, -10, 0, 30, -6, -24, -1, 0, 18, 56, 12, -18, 0, -4, -10, 0, 8, 0, 20, 8, 0, 12, 0, 0, 3, 10, -2, 0, -1, 0, -24, 1, 0, 8, -14, 22, -16, 0, 4, 4, 6, 44, 0, 24, 8, 32, 0, 0, -14, -4, 2, -16, 0, 32, 12, -4, -36, 0, 4, -38, 28, 4, 0, 42, 12, -24, -12, 0, -4, 72, 1, 10, 0, -2, -10, -18, 4, 0, -14, -24, 30, -24, 0, 12, -8, 6, 9, 0, -4, 20, 2, 24, 0, -8, 1, -84, 22, 0, -16, 54, -16, -24, 0, 10, 38, -6, -4, 0, 0, 26, -14, 10, 0, -28, 24, 20, -6, 0, -2, -16, 14, 24, 0, -2, 2, 40, 0, 0, -48, 52, -4, 46, 0, -26, 6, -18, 4, 0, -4, 0, 12, 12, 0, 7, 10, -22, -4, 0, -12, 4, -2, -4, 0, 24, -12, 6, 56, 0, 4, -26, 6, 4, 0, -24, 0, -20, -1, 0, 2, -13, 0, 4, 0, -24, 6, 14, 16, 0, 6, -42, -4, -22, 0, -14, -9, -4, -12, 0, 28, 0, 6, -48, 0, -1, 0, 48, 10, 0, -4, -24, 22, 0, 0, 4, -6, -16, 2, 0, -4, -28, -12, 14, 0, 12, 4, 4, 34, 0, 14, 16, 2, -4, 0, -4, -14, -72, -4, 0, -24, 0, -6, 42, 0, 36, -10, 4, 12, 0, -6, 38, 16, -26, 0, -42, -10, 24, 12, 0, -4, -12, -4, 36, 0, -18, 8, 6, 2, 0, 8, -6, 0, -8, 0, -31, 36, -4, 10, 0, 16, 44, -1, -8, 0, 12, 1, -16, -16, 0, -14, -26, -20, -10, 0, -6, 28, -36, 6, 0, 12, 48, 24, 16, 0, 32, 0, 20, 48, 0, -4, 14, 4, -6, 0, -24, 0, -24, -4, 0, 32, -8, 4, 10, 0, -18, 4, 22, -23, 0, 12, -2, 22, -52, 0, -10, -24, 0, 1, 0, -4, -24, -2, 8, 0, -48, 4, 22, 12, 0, -24, 28, -10, 48, 0, 4, -18, -40, 6, 0, 20, -6, -4, -38, 0, -52, 24, 6, 0, 0, 1, 16, 7, -18, 0, 42, -12, -12, -16, 0, 36, -14, 10, -22, 0, -8, -4, -36, -20, 0, 26, 0, 9, -24, 0, -48, 38, -3, 20, 0, 2, -64, -2, 1, 0, 36, 24, -6, -28, 0, 2, 54, 14, 40, 0, 16, -24, 36, -4, 0, 16, -6, -26, 26, 0, -14, 4, -8, 30, 0, 0, -2, 24, 14, 0, 48, -2, -36, -22, 0, -20, -36, -12, -30, 0, 36, -4, 0, -4, 0, -12, -28, -10, 8, 0, 80, 20, -12, 6, 0, 12, 0, -24, 4, 0, -32, -1, 46, -46, 0, -13, 60, 10, -56, 0, -4, 16, -60, 14, 0, -2, -30, 6, 0, 0, 60, -22, 8, -36, 0, -9, 4, 0, 4, 0, -54, -2, 92, 6, 0, -30, 4, -1, -36, 0, -22, 10, 22, 16, 0, -24, 16, -36, 6, 0, -30, -10, -38, -16, 0, 4, 24, -4, 0, 0, 40, 14, -38, 28, 0, 4, -66, -24, 8, 0, 6, -72, -24, 2, 0, -6, -14, -4, 46, 0, 52, -4, -2, -22, 0, 0, 2, 4, 48, 0, -12, 4, 2, 4, 0, -40, -24, -6, -30, 0, -4, -26, 80, 4, 0, -10, -12, -12, -36, 0, 84, 8, -10, -4, 0, 4, -8, -18, 12, 0, 0, 2, -16, -54, 0, -6, -2, 12, 56, 0, -56, -42, -4, -4, 0, -28, -6, 16, -6, 0, -4, -8, 0, -28, 0, 1, -42, 12, -2, 0, -6, 0, 56, -20, 0, 18, 60, -6, 8, 0, -16, 6, 84, -6, 0, 48, 4, 36, 48, 0, -70, 18, 9, 20, 0, 12, 68, -4, -28, 0, -1, -6, 0, 24, 0, 0, -48, 0, 0, 0, -10, -14, 8, 4, 0, 26, -22, -18, -48, 0, -40, -23, 6, 46, 0, -2, -48, -56, 4, 0, -14, 12, 72, 0, 0, 12, -4, -4, -1, 0, -34, 8, -34, -14, 0, 4, -2, 12, 8, 0, -38, 12, 14, -10, 0, 4, 24, 4, 24, 0, -24, 6, -64, -12, 0, -6, 12, 10, 4, 0, -12, -30, 56, 6, 0, 24, -16, 1, 10, 0, 8, -18, 10, -56, 0, -12, -36, 18, 4, 0, 54, 4, 32, 10, 0, 0, -44, -8, -30, 0, -2, -20, -10, -8, 0, 0, 0, -12, 36, 0, -4, 0, -36, -3, 0, -10, -52, 2, -16, 0, -60, 1, -62, 0, 0, 24, 0, -1, -68, 0, 16, -8, -16, 14, 0, -22, 20, 16, -12, 0, 20, -4, -28, -4, 0, -6, -16, -44, -12, 0, 58, -24, -20, -8, 0, -32, -48, 0, 50, 0, -48, 14, 42, 4, 0, -2, -4, 16, 60, 0, -16, -32, 0, -12, 0, 4, 2, 36, -32, 0, 28, -4, -20, 38, 0, -28, 36, -4, 0, 0, 23, -42, -12, -12, 0, 24, -22, 12, 4, 0, 20, 4, 24, -72, 0, -1, -12, -10, 4, 0, 16, 2, 8, 10, 0, 18, -48, -4, -10, 0, -12, 14, -2, 24, 0, -30, 10, 24, -16, 0, 0, -12, 18, 8, 0, -6, 72, -9, -20, 0, -20, 4, 6, -20, 0, -2, -16, -24, 44, 0, 0, 8, -8, -1, 0, 84, -7, -22, -48, 0, 24, 16, 12, -54, 0, 16, 14, 24, -36, 0, -30, -10, 56, -38, 0, 6, 68, 4, -6, 0, 20, 0, -14, -26, 0, 14, -9, -10, -12, 0, -58, 28, -38, -24, 0, -20, -52, 6, -2, 0, -40, 2, 48, 16, 0, -14, 6, -24, 10, 0, 28, 2, 0, -2, 0, -40, -14, 0, -28, 0, -72, 48, 24, -52, 0, 4, 78, -46, -16, 0, -4, 26, 44, -6, 0, 18, 12, -4, 66, 0, -30, 4, 32, 0, 0, -12, -24, -12, -24, 0, -5, -7, 2, -10, 0, 22, 40, 4, 20, 0, 40, 12, 6, -4, 0, 2, 6, 4, 20, 0, 4, -24, 24, 12, 0, -6, 10, -56, 34, 0, 72, -4, -20, 26, 0, -6, -28, -4, -12, 0, -54, 24, -12, 0, 0, 20, -10, 1, 96, 0, 46, -2, 34, 13, 0, 0, -10, -4, -72, 0, -10, 24, -16, -6, 0, -14, 12, -16, 2, 0, 0, -6, -10, 42, 0, 4, -16, 22, 28, 0, 36, 14, 24, 9, 0, 4, 0, 12, -84, 0, 16, -28, 2, 0, 0, -6, 14, 48, 30, 0, -12, 1, 16, 0, 0, -48, -52, -10, 2, 0, -16, 4, -20, 24, 0, -22, 36, 0, -8, 0, -38, -4, 10, 6, 0, 16, -24, -2, -4, 0, 44, 4, -54, 28, 0, 12, 16, -14, 8, 0, -28, -12, 48, -4, 0, -4, 24, -34, 0, 0, 64, -14, 72, -16, 0, -2, 0, 4, 6, 0, 96, 4, 56, 14, 0, 72, 0, 4, -27, 0, 22, 24, 12, 0, 0, 6, -4, -42, -23, 0, 2, -36, -4, 10, 0, -4, 36, -12, 40, 0, 60, 6, 62, -38, 0, -16, 18, 26, 48, 0, -4, 42, 104, 10, 0, -24, 12, -12, -14, 0, 0, 4, -8, 12, 0, 4, 80, -36, -4, 0, 26, 18, -10, -8, 0, -6, 12, -2, 16, 0, 54, -8, -42, 6, 0, 0, -12, 8, 56, 0, 4, 31, 42, -36, 0, 4, -72, -10, 28, 0, -12, -16, -10, -44, 0, 1, -60, 8, -104, 0, 28, -12, -24, -1, 0, 16, -12, 16, 14, 0, -8, 14, 0, 26, 0, 20, 0, 10, -18, 0, 12, 6, 24, -28, 0, 36, -88, -6, -20, 0, 6, -12, -50, -48, 0, -24, -36, -16, 12, 0, -16, -32, -18, 0, 0, -20, 52, -48, -12, 0, 2, 4, 46, -14, 0, -4, 2, 6, 4, 0, -24, 24, -60, 0, 0, 24, 0, 4, -54, 0, -20, -32, 14, 8, 0, -4, -18, -10, -26, 0, -48, 18, -52, -4, 0, -22, -84, 23, 14, 0, -46, -12, -16, 2, 0, -22, 56, 52, 12, 0, 60, 10, -12, 24, 0, 0, -40, -1, -12, 0, -88, 4, -50, 24, 0, 2, -2, -8, -72, 0, 14, 48, -24, -4, 0, -22, -12, -12, 42, 0, -24, 24, -12, -28, 0, 10, 0, -48, -4, 0, -78, -4, -12, 18, 0, 40, -40, -6, -38, 0, 12, -20, -96, 6, 0, 4, -10, 38, 44, 0, 12, 52, 30, -24, 0, -6, -36, 0, -24, 0, -64, -1, -66, -16, 0, -7, 36, 18, 120, 0, 56, -42, 10, 12, 0, 12, -18, 16, 18, 0, 84, -36, -4, 14, 0, -10, 38, 22, 0, 0, -2, 8, -40, 4, 0, 36, -8, 20, -16, 0, 8, -26, 86, 0, 0, -9, 12, 24, 24, 0, 50, 48, 0, -38, 0, 3, -2, -20, 10, 0, 0, -2, 12, 64, 0, 2, 16, -1, 36, 0, 0, -36, -72, -24, 0, 6, 1, 28, 16, 0, -104, -2, 8, -54, 0, -14, 60, -40, 22, 0, 0, -16, -68, 24, 0, -36, 24, 4, 97, 0, 4, -16, 2, 6, 0, 26, 44, -26, -72, 0, -30, 14, 24, -4, 0, 8, -8, -30, 32, 0, -56, 0, -24, 2, 0, -24, 6, -14, 68, 0, -4, -48, 4, 2, 0, 36, -16, 22, 60, 0, -60, 20, 32, 36, 0, 12, 84, 30, -4, 0, -32, -36, 0, 4, 0, 0, -36, 4, -42, 0, -38, 12, -50, 28, 0, 10, 4, -8, 8, 0, 42, -80, 42, -20, 0, 12, -28, -6, -24, 0, -24, -12, -46, 0, 0, 24, 78, -4, 4, 0, 72, 32, 108, 1, 0, -46, 10, 46, 70, 0, -8, 13, -2, -60, 0, -10, 80, 56, -18, 0, 4, 4, -56, -16, 0, 60, 120, -14, 4, 0, -24, 2, 54, 30, 0, -6, -24, 0, 52, 0, -50, -60, 12, 22, 0, -8, 28, 36, 6, 0, -40, 9, -12, -4, 0, 0, 62, -4, -72, 0, 20, 54, 8, 2, 0, -92, 24, -6, 0, 0, 92, 30, -8, -4, 0, 1, -26, 36, -84, 0, -6, 22, -12, -10, 0, -22, 0, -16, -6, 0, 54, 24, 38, -16, 0, 36, -24, -6, 44, 0, -31, 30, 10, 10, 0, 38, -24, 16, -6, 0, -76, -4, -48, -24, 0, 4, -18, 0, -72, 0, 26, -40, -28, -14, 0, 38, 10, -28, 16, 0, 12, -4, -28, 66, 0, 24, 70, -8, 20, 0, 58, -6, -24, 72, 0, 24, 20, -2, 0, 0, -16, 6, 0, 14, 0, 4, 24, -46, -28, 0, 16, -52, -2, 4, 0, 2, 28, 22, 40, 0, -72, 0, 22, -2, 0, -4, -14, -48, 24, 0, 52, 12, -72, -4, 0, -2, 46, -4, 16, 0, -24, 40, -26, 24, 0, 6, 12, 30, -18, 0, 84, 4, 12, 26, 0, -80, 24, -4, -60, 0, 0, 10, 0, 12, 0, 12, 12, 36, -14, 0, 50, -84, 7, -8, 0, 10, -12, 4, -22, 0, 36, -4, 20, 8, 0, 18, -48, -12, 84, 0, 4, 0, -48, -2, 0, 16, -4, 54, 30, 0, -60, 6, 24, 2, 0, -12, -14, -56, 6, 0, 12, 56, 10, 42, 0, 4, -8, 4, 64, 0, -26, 28, 0, 6, 0, -16, 4, 6, -100, 0, 60, 4, -24, 8, 0, 0, -96, 28, -20, 0, -8, -1, -98, 42, 0, -12, -18, 2, 8, 0, -13, 6, -8, 0, 0, -56, 4, 20, -14, 0, 56, -18, -24, -60, 0, 6, 94, -8, 14, 0, -22, 16, 56, -6, 0, -84, 72, 6, -8, 0, -42, -48, -18, -4, 0, -36, -22, -48, 144, 0, -16, 70, -14, -18, 0, -9, 28, -20, -4, 0, -10, -12, -112, -68, 0, 4, -50, 28, 44, 0, 0, 1, 84, 6, 0, 0, -48, -24, -20, 0, -80, 0, -1, 48, 0, 0, 74, 0, 48, 0, 16, 10, -36, 14, 0, -8, -84, -4, 82, 0, -24, -26, 6, 22, 0, 18, 0, 48, -20, 0, -36, 40, 4, 23, 0, -6, 36, -46, -16, 0, -4, 2, 94, 48, 0, 56, -24, -4, -12, 0, -28, 14, -120, -12, 0, -72, 14, 0, -62, 0, -60, -12, 12, 4, 0, 4, 32, 1, 4, 0, 30, 34, -24, -8, 0, 34, 24, 14, -14, 0, 16, -4, 54, 2, 0, -12, -4, -8, 0, 0, 4, 38, -4, -12, 0, -14, 92, 10, -72, 0, -40, -4, 144, -24, 0, -4, -82, -24, -88, 0, 0, 24, -4, -6, 0, 64, 42, 12, 70, 0, -52, 6, 36, -12, 0, -10, -62, -4, 4, 0, -30, 12, -4, 30, 0, -56, -152, -6, -49, 0, 38, -24, 84, 16, 0, -1, -26, -10, 76, 0, 0, -8, -42, 18, 0, -10, 2, 56, 24, 0, -40, 12, 46, 36, 0, -18, -70, -4, 0, 0, -12, -54, 60, -4, 0, -32, 36, -10, 24, 0, -12, 0, -18, 44, 0, 8, -10, 30, 6, 0, 50, 2, -56, 20, 0, 10, -168, 8, 16, 0, -6, 0, -46, 0, 0, 12, -8, -36, -88, 0, 16, 4, -31, 0, 0, 36, 32, 3, -4, 0, 108, 10, -24, 52, 0, -2, -74, 16, 0, 0, 44, 60, 96, -1, 0, 62, -8, 0, -30, 0, 72, -24, 12, 0, 0, 1, 6, 68, -16, 0, 48, -16, 24, 8, 0, 16, 100, -14, 84, 0, -26, 22, -48, -20, 0, -16, -10, 12, -12, 0, -20, -20, -6, 4, 0, 28, -40, 4, -36, 0, -72, 6, -26, 16, 0, 44, 6, 12, -26, 0, 48, -58, 36, 24, 0, 20, 16, 8, -70, 0, 4, 32, 32, 48, 0, 0, 84, -50, 20, 0, -20, 48, 40, -14, 0, -42, 0, -4, -126, 0, 14, 2, -36, 4, 0, -16, -6, -60, 72, 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": "66.2.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], [1], [1], [0], [-1], [4], [-1], [1], [0], [-1], [1], [6], [-4], [0], [1], [-2], [-1], [4], [0], [4], [1], [-4], [-1], [0], [-6], [1], [4], [6], [0], [0], [-1], [-1], [2], [0], [1], [-6], [-4], [6], [0], [-6], [-4], [-4], [-1], [0], [4], [12], [1], [9], [0], [-2], [6], [-2], [-1], [0], [-4], [4], [-6], [12], [0], [-14], [0], [4], [1], [0], [1], [-4], [-2], [-4], [0], [-12], [-1], [6], [6], [0], [4], [-4], [-6], [-4], [0], [1], [6], [-4], [4], [0], [4], [6], [1], [10], [0], [24], [-4], [0], [-12], [0], [-1], [14], [-9], [-1], [0]]}