# Stored data for newform 1323.2.a.f, downloaded from the LMFDB on 25 April 2024.
{"label": "1323.2.a.f", "space_label": "1323.2.a", "level": 1323, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170408235, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 756413298214479930, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1]], [5, [-3, 1]], [13, [-6, 1]]], "qexp_display": "q-q^{2}-q^{4}+3q^{5}+3q^{8}-3q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5292, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 10.564208187415394, "hecke_ring_index": 1, "level_radical": 21, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [1323, 1, [785, 1081], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 7], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.067", "prec": 17}, {"__RealLiteral__": 0, "data": "2.020", "prec": 17}, {"__RealLiteral__": 0, "data": "0.200", "prec": 17}, {"__RealLiteral__": 0, "data": "4.994", "prec": 17}], "related_objects": ["EllipticCurve/Q/1323/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]], "trace_display": [-1, 0, 3, 0], "traces": [0, 1, -1, 0, -1, 3, 0, 0, 3, 0, -3, 5, 0, 6, 0, 0, -1, -6, 0, 3, -3, 0, -5, 1, 0, 4, -6, 0, 0, -2, 0, -3, -5, 0, 6, 0, 0, 3, -3, 0, 9, -9, 0, 6, -5, 0, -1, 6, 0, 0, -4, 0, -6, -8, 0, 15, 0, 0, 2, 6, 0, 12, 3, 0, 7, 18, 0, -14, 6, 0, 0, -7, 0, 6, -3, 0, -3, 0, 0, -10, -3, 0, 9, 6, 0, -18, -6, 0, 15, 3, 0, 0, -1, 0, -6, 9, 0, 12, 0, 0, -4, 6, 0, -3, 18, 0, 8, -16, 0, 9, -15, 0, 0, 16, 0, 3, 2, 0, -6, 0, 0, 14, -12, 0, 3, -3, 0, -2, 3, 0, -18, -18, 0, 0, 14, 0, -18, 10, 0, 12, 0, 0, 7, 30, 0, -6, -6, 0, -3, -4, 0, 12, 9, 0, 0, -9, 0, 18, 10, 0, -15, 0, 0, -2, 9, 0, -6, 0, 0, 23, 18, 0, -6, 9, 0, 0, -5, 0, -3, -4, 0, -12, 0, 0, 3, 9, 0, -30, -6, 0, -9, -17, 0, -18, -12, 0, 0, 8, 0, 9, 12, 0, -6, 0, 0, -27, 3, 0, -6, 15, 0, -12, 8, 0, 16, 18, 0, 0, -9, 0, -15, -36, 0, -9, 0, 0, -16, -24, 0, 0, -3, 0, -6, -4, 0, 18, -6, 0, 0, -16, 0, 18, -14, 0, -12, 0, 0, 18, -9, 0, 3, 12, 0, 5, 2, 0, -17, 3, 0, 0, -18, 0, 18, -23, 0, -24, 0, 0, 14, -21, 0, -24, 6, 0, -10, 20, 0, -1, -12, 0, 0, 26, 0, 12, 7, 0, -30, 0, 0, 19, 6, 0, -6, -6, 0, 18, 9, 0, 4, 6, 0, 0, -12, 0, -3, 36, 0, 3, 0, 0, 9, -18, 0, -6, -18, 0, 10, -2, 0, -10, 21, 0, 0, -18, 0, 24, 2, 0, -27, 0, 0, 0, -6, 0, 0, -42, 0, 3, -23, 0, 18, -15, 0, 0, 18, 0, -9, 5, 0, 12, 0, 0, -25, 21, 0, -21, -3, 0, 4, -8, 0, -10, 12, 0, 0, 18, 0, 9, -1, 0, -9, 0, 0, -23, 30, 0, 18, -12, 0, -30, -9, 0, 17, 24, 0, 0, 18, 0, -12, -16, 0, -6, 0, 0, -8, -30, 0, 12, -9, 0, -4, -2, 0, -18, -6, 0, 0, 15, 0, 30, 27, 0, 3, 0, 0, 18, -30, 0, -15, -12, 0, -17, 12, 0, -24, -24, 0, 0, 16, 0, -18, 31, 0, -18, 0, 0, -9, 3, 0, -24, 45, 0, 36, -25, 0, 9, 9, 0, 0, -20, 0, -45, -16, 0, 24, 0, 0, -15, 0, 0, -3, 33, 0, -4, 2, 0, 4, -42, 0, 0, -18, 0, 18, 30, 0, 12, 0, 0, 16, -12, 0, 18, -18, 0, -14, 36, 0, 30, 36, 0, 0, 1, 0, 12, -18, 0, 3, 0, 0, 18, 3, 0, -12, 6, 0, 18, -5, 0, 2, -6, 0, 0, 11, 0, -3, -9, 0, 30, 0, 0, 54, -3, 0, 3, 18, 0, 23, 18, 0, -22, 24, 0, 0, -54, 0, -48, -42, 0, 21, 0, 0, 11, 24, 0, 30, 27, 0, 8, -10, 0, -20, -6, 0, 0, 1, 0, -12, -28, 0, 36, 0, 0, -26, 18, 0, 48, -12, 0, -21, -4, 0, 40, -30, 0, 0, 4, 0, 24, -19, 0, 6, 0, 0, -40, 18, 0, 6, 0, 0, -9, -18, 0, -3, 21, 0, 0, 4, 0, -6, -5, 0, -30, 0, 0, -12, 42, 0, -12, -15, 0, -36, 36, 0, 7, -3, 0, 0, -10, 0, -15, 9, 0, 18, 0, 0, -29, 6, 0, -18, -18, 0, -2, -30, 0, 2, -6, 0, 0, 10, 0, 9, 8, 0, 39, 0, 0, 18, 42, 0, 30, -24, 0, 2, 22, 0, -54, 9, 0, 0, 37, 0, -42, 0, 0, 18, 0, 0, -2, 0, 0, 42, 60, 0, -6, -3, 0, -23, -51, 0, 0, -54, 0, 15, 7, 0, 30, 0, 0, -6, -48, 0, 36, -9, 0, -5, 36, 0, 54, -12, 0, 0, -38, 0, 9, 35, 0, -21, 0, 0, 21, 21, 0, 9, -3, 0, 90, 4, 0, 8, -6, 0, 0, 10, 0, 12, -8, 0, 36, 0, 0, -18, -36, 0, 42, -9, 0, -5, -70, 0, -16, -9, 0, 0, 49, 0, -12, 23, 0, 30, 0, 0, 6, -6, 0, 12, 36, 0, -18, 30, 0, 27, -6, 0, 0, 17, 0, -24, 36, 0, -18, 0, 0, 18, 9, 0, -12, 36, 0, 16, -27, 0, -35, 6, 0, 0, 54, 0, 12, -8, 0, 30, 0, 0, 72, -12, 0, -9, 21, 0, -36, -20, 0, 2, 30, 0, 0, 18, 0, 18, 2, 0, -39, 0, 0, -15, -6, 0, 18, -30, 0, 27, -22, 0, -4, -9, 0, 0, 19, 0, -18, -18, 0, 42, 0, 0, 0, -15, 0, 12, -30, 0, -25, 17, 0, 12, 69, 0, 0, 8, 0, 24, 3, 0, -12, 0, 0, -48, -9, 0, -45, -18, 0, -31, -8, 0, 27, 18, 0, 0, -50, 0, -84, 27, 0, -3, 0, 0, 14, 24, 0, -15, -15, 0, -48, 36, 0, 25, -6, 0, 0, -9, 0, 9, 18, 0, -12, 0, 0, 20, 6, 0, 48, 45, 0, 48, -36, 0, -48, 24, 0, 0, -52, 0, 30, 15, 0, 0, 0, 0, -48, 9, 0, -33, -42, 0, 12, 4, 0, 10, 18, 0, 0, 4, 0, 42, -90, 0, 0, 0, 0, -18, -45, 0, -9, -6, 0, -30, 47, 0, 36, -12, 0, 0, 14, 0, -51, 16, 0, 12, 0, 0, -22, -18, 0, -18, -54, 0, 32, 42, 0, -36, -54, 0, 0, -30, 0, -12, 8, 0, 15, 0, 0, -1, 6, 0, 24, -12, 0, -18, 6, 0, -6, 15, 0, 0, 27, 0, 36, -18, 0, -9, 0, 0, -36, -12, 0, -6, -24, 0, 29, -18, 0, -5, 9, 0, 0, -6, 0, 6, -20, 0, -54, 0, 0, 23, -36, 0, -60, -3, 0, 9, -28, 0, -37, -30, 0, 0, -72, 0, -27, -18, 0, 3, 0, 0, 45, -3, 0, -54, -39, 0, 8, 23, 0, -18, -36, 0, 0, 22, 0, 24, -16, 0, -33, 0, 0, 54, 60, 0, -24, 48, 0, 14, -6, 0, 24, 21, 0, 0, 36, 0, 6, -11, 0, 24, 0, 0, 28, -42, 0, -27, 0, 0, 49, -8, 0, 30, -42, 0, 0, -20, 0, 6, -41, 0, -108, 0, 0, 1, -39, 0, 30, 36, 0, 28, -27, 0, -30, -36, 0, 0, 18, 0, -24, -26, 0, -18, 0, 0, -41, -48, 0, -12, -15, 0, -72, 7, 0, 4, 84, 0, 0, -40, 0, 90, 0, 0, -9, 0, 0, -4, -12, 0, -6, -24, 0, -19, 18, 0, 36, -18, 0, 0, -4, 0, -12, 40, 0, -6, 0, 0, 0, 6, 0, 0, 24, 0, -80, 9, 0, -18, 30, 0, 0, -15, 0, -21, 5, 0, 18, 0, 0, -12, 57, 0, -48, -6, 0, 5, 45, 0, 33, 30, 0, 0, 54, 0, 42, 36, 0, -42, 0, 0, -26, 12, 0, 21, 27, 0, -8, -36, 0, -36, 36, 0, 0, -7, 0, -3, 62, 0, -21, 0, 0, 10, 54, 0, 30, 15, 0, -27, -36, 0, 80, 18, 0, 0, -12, 0, 36, 29, 0, 6, 0, 0, 36, 54, 0, 18, 54, 0, 72, 2, 0, 10, 15, 0, 0, 2, 0, 6, 27, 0, -42, 0, 0, 10, -18, 0, -48, -51, 0, -8, 11, 0, 9, -39, 0, 0, 50, 0, -12, 18, 0, -42, 0, 0, -43, -30, 0, -24, -33, 0, 54, -6, 0, -22, 42, 0, 0, 54, 0, 45, 36, 0, -69, 0, 0, -37, -24, 0, -48, 42, 0, 0, -32, 0, -42, -6, 0, 0, 15, 0, -18, 2, 0, 0, 0, 0, -18, 42, 0, -60, 60, 0, -63, 6, 0, -3, -21, 0, 0, 69, 0, 51, -72, 0, 6, 0, 0, 18, 57, 0, -12, 15, 0, -7, 17, 0, -28, -30, 0, 0, -56, 0, -15, -30, 0, 48, 0, 0, -6, -36, 0, 27, -3, 0, 18, -5, 0, -36, -96, 0, 0, -54, 0, -12, -10, 0, -48, 0, 0, 38, 12, 0, 78, -9, 0, 15, -10, 0, -36, -21, 0, 0, 36, 0, 54, -21, 0, 21, 0, 0, 42, -3, 0, 3, -48, 0, 63, -90, 0, -12, 27, 0, 0, 8, 0, 6, 67, 0, -90, 0, 0, 10, 57, 0, 9, -36, 0, 8, 13, 0, -27, -36, 0, 0, -18, 0, -63, -18, 0, 36, 0, 0, -18, -42, 0, -9, 96, 0, 18, 7, 0, 70, 24, 0, 0, 16, 0, 27, 16, 0, 27, 0, 0, -49, -18, 0, -72, 12, 0, 23, 50, 0, 18, -90, 0, 0, -76, 0, -30, -6, 0, -30, 0, 0, 50, 12, 0, -36, -30, 0, -18, 18, 0, 30, -27, 0, 0, -9, 0, 6, 61, 0, 48, 0, 0, -51, 60, 0, 45, -24, 0, -36, 9, 0, 16, 18, 0, 0, -14, 0, -45, -54, 0, -9, 0, 0, 69, 12, 0, -12, 51, 0, -54, 16, 0, 27, -18, 0, 0, 35, 0, 6, -18, 0, 57, 0, 0, -54, -6, 0, 84, -12, 0, 24, 18, 0, -14, 30, 0, 0, -41, 0, -6, -72, 0, -12, 0, 0, 18, 27, 0, -21, -30, 0, -78, 36, 0, 28, 42, 0, 0, 2, 0, -30, 8, 0, 12, 0, 0, 18, -15, 0, -54, -6, 0, -2, 67, 0, -43, 39, 0, 0, -18, 0, 33, -15, 0, 6, 0, 0, -7, -18, 0, -30, 30, 0, -20, -81, 0, 22, 24, 0, 0, 4, 0, 3, -72, 0, -12, 0, 0, -19, 0, 0, -42, 18, 0, -18, 60, 0, 46, 18, 0, 0, -53, 0, 6, 0, 0, 45, 0, 0, -56, 12, 0, 30, 6, 0, 40, 25, 0, 17, 9, 0, 0, -36, 0, -69, 9, 0, 18, 0, 0, 40, -27, 0, 9, 24, 0, -3, -108, 0, -45, 12, 0, 0, 46, 0, -12, 16, 0, 9, 0, 0, -36, 45, 0, 54, -54, 0, 4, -31, 0, 8, 90, 0, 0, -27, 0, 18, -34, 0, 15, 0, 0, 50, 18, 0, 78, 84, 0, -9, 36, 0, -12, -3, 0, 0, 18, 0, 6, -14, 0, 24, 0, 0, 42, -75, 0, 15, -54, 0, 63, 48, 0, -108, -24, 0, 0, 25, 0, 6, -28, 0, 30, 0, 0, -9, 60, 0, -21, -27, 0, -18, -77, 0, 6, 12, 0, 0, -10, 0, -24, 20, 0, -6, 0, 0, -42, -48, 0, 45, -30, 0, 72, -16, 0, 36, 6, 0, 0, 48, 0, -72, -10, 0, 96, 0, 0, 52, -78, 0, 24, -30, 0, 15, -18, 0, -40, 0, 0, 0, 27, 0, 0, 48, 0, -3, 0, 0, 36, -33, 0, 42, 0, 0, -7, -12, 0, 4, -54, 0, 0, -14, 0, -18, 115, 0, 42, 0, 0, -12, -69, 0, 27, 42, 0, 90, 53, 0, 9, 0, 0, 0, 58, 0, 39, 54, 0, 45, 0, 0, -36, 9, 0, -30, 27, 0, -36, -30, 0, -47, -90, 0, 0, -36, 0, -12, -28, 0, 45, 0, 0, -14, -54, 0, 6, 51, 0, -48, 50, 0, 72, 12, 0, 0, 18, 0, -96, 22, 0, -18, 0, 0, -54, 54, 0, 54, -48, 0, -19, -32, 0, -14, -24, 0, 0, -36, 0, 54, 28, 0, -48, 0, 0, -30, 45, 0, 15, -60, 0, -8, -18, 0, -9, -15, 0, 0, -24, 0, 72, -1, 0, -6, 0, 0, -20, -24, 0, -12, -54, 0, -40, 54, 0, -6, 6, 0, 0, 6, 0, -21, 36, 0, -21, 0, 0, -27, -60, 0, 48, -36, 0, -18, 58, 0, 52, 3, 0, 0, 59, 0, -6, 36, 0, 36, 0, 0, 68, -6, 0, 24, -54, 0, 39, -29, 0, -18, 36, 0, 0, 15, 0, -9, -49, 0, 66, 0, 0, 2, -48, 0, 45, 6, 0, 20, -71, 0, 108, 54, 0, 0, 90, 0, 3, -45, 0, 36, 0, 0, 45, 60, 0, 9, -84, 0, 14, 9, 0, 28, 12, 0, 0, 37, 0, -30, -2, 0, 27, 0, 0, 72, 24, 0, 42, 27, 0, -90, -20, 0, -66, 3, 0, 0, -25, 0, 36, -45, 0, -3, 0, 0, -36, 18, 0, 39, 30, 0, -85, -8, 0, -69, -51, 0, 0, -18, 0, 36, 65, 0, 36, 0, 0, 22, -12, 0, -12, -72, 0, 16, -90, 0, 18, 33, 0, 0, -26, 0, -72, 54, 0, -60, 0, 0, -27, 24, 0, 48, 81, 0, -54, 70, 0, 6, 48, 0, 0, -24, 0, -63, 20, 0, 93, 0, 0, -36, 12, 0, 12, -6, 0, -11, -54, 0, 40, -72, 0, 0, 0, 0, 72, -28, 0, -18, 0, 0, -52, -27, 0, 0, 18, 0, 9, -49, 0, -8, 45, 0, 0, -10, 0, 42, -72, 0, 60, 0, 0, 60, 21, 0, -15, 6, 0, 41, 8, 0, -11, 108, 0, 0, -4, 0, -75, -3, 0, 39, 0, 0, 51, -30, 0, -12, 12, 0, 108, 28, 0, 27, 12, 0, 0, 30, 0, -36, -68, 0, -15, 0, 0, -18, 18, 0, -60, 24, 0, 78, 54, 0, -70, -18, 0, 0, -135, 0, 36, 41, 0, -48, 0, 0, -18, 36, 0, 15, -12, 0, 47, 72, 0, 35, 27, 0, 0, 4, 0, -84, -48, 0, -90, 0, 0, -40, -45, 0, 39, -30, 0, 0, 20, 0, 53, 9, 0, 0, -14, 0, 42, -4, 0, 12, 0, 0, 99, 6, 0, -24, 90, 0, 30, 57, 0, -18, -12, 0, 0, -36, 0, 6, -60, 0, 6, 0, 0, 4, -24, 0, -60, 12, 0, 40, -10, 0, -126, -30, 0, 0, -76, 0, -6, 0, 0, -18, 0, 0, -18, 0, 0, -24, 66, 0, -72, 80, 0, 9, -66, 0, 0, 54, 0, -30, -72, 0, 90, 0, 0, 21, -3, 0, 21, -21, 0, -5, -9, 0, 2, -18, 0, 0, 64, 0, 51, 4, 0, -57, 0, 0, 13, 48, 0, 18, 81, 0, -36, 5, 0, -45, -30, 0, 0, -33, 0, 30, 54, 0, -12, 0, 0, -54, -24, 0, -6, -42, 0, -12, -14, 0, -54, -42, 0, 0, 4, 0, 48, 26, 0, 12, 0, 0, -180, 9, 0, -27, 90, 0, -26, 8, 0, 108, 15, 0, 0, -36, 0, -36, 8, 0, 30, 0, 0, -7, -45, 0, 3, 9, 0, -62, -47, 0, -16, 21, 0, 0, 36, 0, 60, 10, 0, -54, 0, 0, 81, -30, 0, 15, -69, 0, -42, 9, 0, 36, -102, 0, 0, -80, 0, -54, -54, 0, -48, 0, 0, 12, 54, 0, -120, -36, 0, 29, -108, 0, 52, -18, 0, 0, 9, 0, -108, -36, 0, -18, 0, 0, 18, 18, 0, -54, 0, 0, 63, -72, 0, 2, 24, 0, 0, 50, 0, -15, 59, 0, 24, 0, 0, -6, 36, 0, -69, 6, 0, -27, 64, 0, -18, 42, 0, 0, 22, 0, 75, -30, 0, 18, 0, 0, -25, 48, 0, 33, 48, 0, -20, -8, 0, -11, -72, 0, 0, -9, 0, -39, -18, 0, -12, 0, 0, -50, 54, 0, -6, 12, 0, -54, 90, 0, 54, -42, 0, 0, 56, 0, 96, 43, 0, -30, 0, 0, 16, 72, 0, 33, 30, 0, -9, -54, 0, 2, -15, 0, 0, -22, 0, -42, 9, 0, -18, 0, 0, 54, 21, 0, 72, -63, 0, -36, -21, 0, -80, 69, 0, 0, 32, 0, 54, -37, 0, 24, 0, 0, 36, 48, 0, 42, -66, 0, 30, 0, 0, 32, 90, 0, 0, 42, 0, -30, 22, 0, -57, 0, 0, -15, 6, 0, -162, 18, 0, 2, -108, 0, 48, 0, 0, 0, -64, 0, 12, 18, 0, -126, 0, 0, 56, -60, 0, -60, -84, 0, -10, 63, 0, 6, -45, 0, 0, 9, 0, 21, 43, 0, 18, 0, 0, -23, 33, 0, -96, 51, 0, 72, -40, 0, 3, -6, 0, 0, 90, 0, 33, 90, 0, -57, 0, 0, 36, 12, 0, -45, -3, 0, 22, -7, 0, -17, 24, 0, 0, 28, 0, -30, 34, 0, -72, 0, 0, 56, 126, 0, 54, 15, 0, 42, 98, 0, -18, 48, 0, 0, -9, 0, 60, 6, 0, -36, 0, 0, 76, -9, 0, 3, 12, 0, 36, -18, 0, 15, -69, 0, 0, -36, 0, 96, 14, 0, -84, 0, 0, -54, 39, 0, 15, 36, 0, 10, 108, 0, 55, 48, 0, 0, -38, 0, -9, 38, 0, -12, 0, 0, 11, -78, 0, -9, -24, 0, 54, -85, 0, 10, -84, 0, 0, 36, 0, 63, 64, 0, 15, 0, 0, -36, -12, 0, 0, -54, 0, -21, 74, 0, 0, -63, 0, 0, 44, 0, -12, -42, 0, -15, 0, 0, 0, 3, 0, 48, 120, 0, 14, -63, 0, -90, 87, 0, 0, 4, 0, -27, 72, 0, 36, 0, 0, -24, -138, 0, -3, 6, 0, -67, -49, 0, -84, 90, 0, 0, 72, 0, 48, -30, 0, -57, 0, 0, -115, -9, 0, 12, -18, 0, -54, 8, 0, -13, -48, 0, 0, 27, 0, -36, 76, 0, 63, 0, 0, 18, -120, 0, 12, 63, 0, 54, -2, 0, -30, 36, 0, 0, -41, 0, -12, 18, 0, -42, 0, 0, 0, 27, 0, -96, 102, 0, -54, -18, 0, 3, -27, 0, 0, 70, 0, -24, -144, 0, -96, 0, 0, 16, -90, 0, -105, -9, 0, -16, 52, 0, 63, -27, 0, 0, -28, 0, 33, -49, 0, 18, 0, 0, 0, 72, 0, 12, -120, 0, 54, -69, 0, -50, 6, 0, 0, -18, 0, 30, -54, 0, -15, 0, 0, 76, 90, 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": "1323.2.a.e", "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], [3], [0], [0], [3], [0], [-3], [5], [0], [6], [0], [0], [-1], [-6], [0], [3], [-3], [0], [-5], [1], [0], [4], [-6], [0], [0], [-2], [0], [-3], [-5], [0], [6], [0], [0], [3], [-3], [0], [9], [-9], [0], [6], [-5], [0], [-1], [6], [0], [0], [-4], [0], [-6], [-8], [0], [15], [0], [0], [2], [6], [0], [12], [3], [0], [7], [18], [0], [-14], [6], [0], [0], [-7], [0], [6], [-3], [0], [-3], [0], [0], [-10], [-3], [0], [9], [6], [0], [-18], [-6], [0], [15], [3], [0], [0], [-1], [0], [-6], [9], [0], [12], [0], [0], [-4]]}