# Stored data for newform 1078.2.a.e, downloaded from the LMFDB on 16 April 2024.
{"label": "1078.2.a.e", "space_label": "1078.2.a", "level": 1078, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543037494, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 920451600282996811, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, 1]], [5, [0, 1]], [13, [1, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-q^{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": 4312, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 8.607873337894025, "hecke_ring_index": 1, "level_radical": 154, "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": "0.021", "prec": 17}, "analytic_rank_proved": true, "char_values": [1078, 1, [199, 981], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 11], "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": "0.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.823", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.445", "prec": 17}], "related_objects": ["EllipticCurve/Q/1078/e"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, 1], [11, 1]], "trace_display": [-1, 1, 0, 0], "traces": [0, 1, -1, 1, 1, 0, -1, 0, -1, -2, 0, -1, 1, -1, 0, 0, 1, -6, 2, 2, 0, 0, 1, -6, -1, -5, 1, -5, 0, 9, 0, -4, -1, -1, 6, 0, -2, 2, -2, -1, 0, -6, 0, -4, -1, 0, 6, -6, 1, 0, 5, -6, -1, 0, 5, 0, 0, 2, -9, -3, 0, 11, 4, 0, 1, 0, 1, 11, -6, -6, 0, 0, 2, 2, -2, -5, 2, 0, 1, 5, 0, 1, 6, -6, 0, 0, 4, 9, 1, -18, 0, 0, -6, -4, 6, 0, -1, -13, 0, 2, -5, -15, 6, -16, 1, 0, 0, 12, -5, 2, 0, 2, 0, 9, -2, 0, 9, 2, 3, 0, 0, 1, -11, -6, -4, 0, 0, -7, -1, -4, 0, 18, -1, 0, -11, 0, 6, -9, 6, 8, 0, -6, 0, 1, -2, 0, -2, 0, 2, 6, 5, -19, -2, 12, 0, 0, -1, -4, -5, 0, 0, 0, -1, 17, -6, 0, 6, 3, 0, -12, 0, -4, -4, -21, -9, 0, -1, -3, 18, -15, 0, 2, 0, 11, 6, 0, 4, 6, -6, 0, 0, 6, 1, 14, 13, 0, 0, -3, -2, 14, 5, 11, 15, 0, -6, 0, 16, 12, -1, -2, 0, -10, 0, 0, -12, 0, 5, 0, -2, 2, 0, 6, -2, 26, 0, 10, -9, 18, 2, -16, 0, 0, -9, -6, -2, 0, -3, 5, 0, -9, 0, 26, -1, 16, 11, 0, 6, -2, 4, -6, 0, -12, 0, 6, 7, 0, 1, 3, 4, 0, 0, -18, -18, -9, 1, 0, 0, -18, 11, 12, 0, 29, -6, 0, 9, 5, -6, 29, -8, 8, 0, 18, 6, -10, 0, 0, -1, 0, 2, 19, 0, -13, 2, -30, 0, 0, -2, 5, -6, 6, -5, 0, 19, -15, 2, 0, -12, 20, 0, -16, 0, 24, 1, 17, 4, 0, 5, 12, 0, -9, 0, 12, 0, -12, 1, 5, -17, 2, 6, 0, 0, 35, -6, -4, -3, 0, 0, 14, 12, 9, 0, 4, 4, 0, 4, 0, 21, 0, 9, 2, 0, 5, 1, -18, 3, 0, -18, 0, 15, -3, 0, -15, -2, 1, 0, 0, -11, -10, -6, 12, 0, 0, -4, -31, -6, 0, 6, -9, 0, 23, 0, -7, -6, -36, -1, 0, -14, 8, -13, 12, 0, 36, 0, 18, 3, 0, 2, -22, -14, 0, -5, -33, -11, 4, -15, 0, 0, -2, 6, -4, 0, -9, -16, 0, -12, 0, 1, 8, 2, -12, 0, -28, 10, 12, 0, 30, 0, 0, 12, 1, 0, -3, -5, -34, 0, 0, 2, -12, -2, -1, 0, 0, -6, 12, 2, 0, -26, 6, 0, -18, -10, 6, 9, -19, -18, 0, -2, -22, 16, 30, 0, 21, 0, -22, 9, 0, 6, 12, 2, 0, 0, -4, 3, 4, -5, -10, 0, 0, 9, 15, 0, -2, -26, 0, 1, 0, -16, 20, -11, 17, 0, 42, -6, -54, 2, 0, -4, 0, 6, -40, 0, 3, 12, -33, 0, 0, -6, -12, -7, -6, 0, 0, -1, -10, -3, 0, -4, 6, 0, -21, 0, -42, 18, -16, 18, 0, 9, 24, -1, 13, 0, 6, 0, 6, 18, 0, -11, -15, -12, 0, 0, -25, -29, 2, 6, 0, 0, -28, -9, -22, -5, 18, 6, 0, -29, 0, 8, -18, -8, 4, 0, 6, -18, -18, -6, 0, 10, 0, 0, -36, 0, 32, 1, 6, 0, 30, -2, -7, -19, 14, 0, 0, 13, 0, -2, 0, 30, 9, 0, -8, 0, -3, 2, 36, -5, 0, 6, 14, -6, 0, 5, 2, 0, -22, -19, 0, 15, -40, -2, 0, 0, 6, 12, -10, -20, 0, 0, 21, 16, 20, 0, 30, -24, 0, -1, 25, -17, -2, -4, -12, 0, 20, -5, -10, -12, 0, 0, 0, 9, 0, 0, 9, -12, 5, 0, 0, 12, -12, -1, 3, -5, 0, 17, 18, -2, 0, -6, -4, 0, 0, 0, 14, -35, 6, 6, 0, 4, -54, 3, 26, 0, -11, 0, -28, -14, 25, -12, 6, -9, 0, 0, 18, -4, -21, -4, 0, 0, -16, -4, 0, 0, 11, -21, 0, 0, 0, -9, 36, -2, -6, 0, 39, -5, 4, -1, 0, 18, 0, -3, 26, 0, -10, 18, 24, 0, 0, -15, -9, 3, -42, 0, 0, 15, 26, 2, -45, -1, 14, 0, 13, 0, 24, 11, -25, 10, 0, 6, -11, -12, 50, 0, -2, 0, -36, 4, 0, 31, 12, 6, 0, 0, -4, -6, -12, 9, 0, 0, -46, -23, 6, 0, -18, 7, 0, 6, 0, 36, 3, 1, -22, 0, 3, 14, 24, -8, 20, 13, 0, -12, -12, 0, 0, -36, -45, 0, 0, -18, 14, -3, -9, 0, 0, -2, -11, 22, 0, 14, -18, 0, 36, 5, 36, 33, -2, 11, 0, -4, 12, 15, -48, 0, 20, 0, 29, 2, 0, -6, -8, 4, 0, 0, -15, 9, -10, 16, 5, 0, 30, 12, -52, 0, 29, -1, 0, -8, 0, -2, 20, 12, 6, 0, 52, 28, 18, -10, 0, -12, 0, 0, -10, -30, -12, 0, -46, 0, 0, -12, 36, -1, -37, 0, 0, 3, 30, 5, 0, 34, 19, 0, -5, 0, -11, -2, 26, 12, 0, 2, 17, 1, -30, 0, 33, 0, 29, 6, 0, -12, 3, -2, 0, 0, -1, 26, -12, -6, 0, 0, 6, 18, -36, 10, 0, -6, 0, -9, 0, 19, -28, 18, 30, 0, -6, 2, 6, 22, 0, -16, 0, -30, 32, 0, 20, -21, 0, 0, -10, 22, 32, -9, 39, 0, 0, -6, 24, -12, 0, -2, 8, 0, 17, 0, 15, 4, 36, -3, 0, -4, 24, 5, -2, 10, 12, 0, -36, 0, 0, -9, -9, -15, 0, 0, -15, 2, -24, 26, 0, 0, -40, -1, -12, 0, 15, 16, 0, -20, 5, 11, -18, -17, 18, 0, -4, -42, -6, 6, 0, 54, 0, -2, 24, 0, -40, 4, 35, 0, 0, -6, -34, 40, -10, 0, 0, -3, 18, -12, 0, 33, 0, 0, -4, 0, 14, 6, -30, 12, 0, 7, -18, 6, 6, 0, -22, 0, 4, 1, 30, 10, -5, 3, 0, 0, -27, 4, -46, -6, 0, 0, -66, 21, -46, 0, 0, 42, 0, -18, 0, 16, 2, -18, -39, 0, -16, -9, -1, -24, 0, 1, 0, -13, -18, 0, 54, -6, -16, 0, 0, -6, 13, -18, -46, 0, 0, 11, 18, 15, 20, 12, -3, 0, 6, 0, 36, 25, -15, 29, 0, -2, 8, -6, -2, 0, 6, 0, -16, 28, 0, 9, 12, 22, 0, 5, -10, -18, -24, -6, 0, 0, 30, 29, 42, 0, 15, -8, 0, 18, 0, 8, 5, -4, -31, 0, -6, -6, 17, 18, 0, 18, 0, 6, 8, 0, -9, -10, 16, 0, 0, 0, 23, 36, -66, 0, 0, -32, 14, -1, 0, -6, -8, 0, -36, -30, 3, 2, 2, 7, 0, 19, 18, -14, 22, 0, 20, 0, -24, -13, 0, 0, 12, 2, 0, 0, -13, -30, 36, -9, 30, 0, -12, 8, -36, 0, -36, 3, 0, -2, 0, -36, 0, 5, -54, 0, -22, -6, 39, -14, 0, 6, 0, 0, -2, -5, -40, -2, -33, 0, 0, 22, 0, 19, 4, 0, 0, -15, 14, 40, 0, 2, -6, 0, 0, 0, -2, -6, 51, -12, 0, 10, -4, 20, 9, 0, -37, 0, 18, -21, 0, -16, -28, -20, 0, 0, -12, -30, -9, 24, 0, 0, -36, 1, 14, -25, -16, 17, 0, 2, 0, 4, -12, 12, -15, 0, 13, -20, -28, 5, 0, 10, 0, 12, 30, 0, 24, 0, 22, 0, 30, -9, -48, 0, 32, 0, 0, -9, -18, 12, 0, -5, -2, 0, 36, 0, -25, -12, -3, 12, 0, 1, 38, -3, -34, 5, -6, 0, -16, -17, 0, -18, 12, 2, 0, 0, -12, 6, 15, 4, 0, 0, -1, 0, 15, 0, -7, -14, 0, 35, 0, -6, -31, -6, 12, 0, -1, -4, 16, 54, 0, -3, 0, -26, 16, 0, -12, 11, -30, 0, 0, 28, -18, 14, 0, -25, 0, 12, 6, -6, 0, 9, 18, 0, 38, 0, 24, -18, -54, 4, 0, 21, 60, 4, -33, 0, -22, 0, 54, 16, 0, 4, -6, 0, 0, 0, -7, -11, 21, 21, 0, 0, 4, 0, -22, 0, -12, 9, 0, -36, 0, 2, 7, 6, -7, 0, 12, -39, -66, 5, 0, -4, 0, 1, 15, 0, 36, -18, 8, 0, 0, 3, -2, -26, 4, 0, 0, 10, -34, -18, -10, -24, 30, 0, 17, 0, 0, 15, 9, 9, 0, -3, 15, 42, 36, 0, -18, 0, -2, -15, 0, -26, -55, -2, 0, 45, -18, 1, 32, -14, 0, 0, 24, -13, -70, 0, 20, -24, 0, -11, 0, 25, -34, -10, -9, 0, 23, -6, 42, 11, 15, 12, 0, -50, -54, 0, -18, 2, 5, 0, 0, 36, -21, -4, 50, 0, 0, -31, -51, -12, 0, -6, -40, 0, -15, 0, 10, 4, -6, 6, 0, 12, 9, -9, -33, 0, 60, 0, 108, 46, 0, 23, -12, -6, 0, 0, 24, 18, 48, -7, -55, 0, -6, -6, -8, 0, 56, -36, 0, -3, 0, -1, 0, 22, 2, 0, -66, -3, -76, -14, 0, -24, 0, 8, -58, -20, 6, -13, 6, 0, 0, 12, 42, 12, -24, 0, 0, 0, -42, 36, 0, 45, -22, 0, -16, 0, 57, 18, -1, -14, 0, 3, -12, 9, 14, 0, 24, 0, 9, 2, 0, 11, 13, -22, 0, 0, -8, -14, 15, 18, 0, 0, -19, -36, 6, -5, 36, -36, 0, -33, 0, 2, -6, -11, 14, 0, 30, 4, -9, -12, 0, -15, 0, 48, -54, 0, -58, -20, -25, 0, 0, -29, -4, -2, -4, 0, 0, 6, 0, 8, 0, -4, 54, 0, -6, 0, -28, 15, 0, -9, 0, 10, -55, -16, 78, -5, 7, 0, 18, -30, 0, -12, -52, 52, 0, 0, 19, -29, 8, 1, 0, 0, -12, 8, 2, 0, -18, 2, 0, -20, -55, -12, 4, -6, -12, 0, -5, -52, -12, -28, 0, -18, 0, 10, -18, 0, -36, 12, 65, 0, 0, 0, -3, 10, -61, 30, 0, 12, -18, 0, 0, 46, -36, 0, 48, 0, -27, 12, 32, -36, 0, 1, 90, 37, -12, 0, 33, 0, -58, -3, 30, -30, 4, -5, 0, 0, -7, -34, 42, -19, 0, 0, -28, 5, -12, 0, -22, 11, 0, 2, 0, -26, 68, -12, 0, 0, 96, -2, 29, -17, 0, -1, 0, 30, 44, 0, 9, -33, 24, 0, 0, -29, -8, -6, 99, 0, 0, 12, 6, -3, 0, 2, 32, 0, 36, 0, 9, 1, 80, -26, 0, 12, 3, 6, 23, 0, -28, 0, -17, -6, 0, -18, 0, 36, 0, -10, 38, 0, 2, 6, 0, 0, -8, 9, -55, 0, 66, -19, 0, 28, 0, -18, -30, -30, -72, 0, -40, 6, -33, -2, -10, -6, 0, -22, 12, 0, 62, 16, 6, 0, 0, 30, -3, -32, -10, 0, 0, -20, -26, 21, 0, 0, 21, 0, -27, 10, 21, -22, -12, -32, 0, 9, 20, -39, 12, 0, -7, 0, -6, 6, 0, -24, -34, 12, 0, 0, -78, 2, -61, -8, 25, 0, -78, -17, 14, 0, 4, -15, 0, -4, 0, -36, -12, 3, -12, 0, -44, 4, 20, -24, 0, -5, 0, 2, 20, -10, -42, -12, 21, 0, 0, 36, -39, 0, 36, 0, 0, 9, -36, 9, 0, 15, 0, 0, -30, 0, -54, 15, 9, -2, 0, 24, 36, -26, 5, 0, -66, 0, -31, 40, 0, 1, -6, 12, 0, 0, -12, -15, 99, -16, 0, 0, 3, 20, -39, -5, 14, -11, 0, 18, 0, 17, -32, -18, 18, 0, 0, 4, 19, 42, 0, 6, 0, -6, 15, 0, -10, -54, 60, 0, -25, 2, 0, -24, -42, 0, 0, 40, 14, -4, 0, -35, 14, 0, -12, 0, -2, 6, 44, 34, 0, -40, 33, 10, 11, 0, -54, 0, 57, 3, 0, -18, -52, 12, 0, 0, 17, -33, -11, 0, 0, 0, 29, 4, -28, 0, 24, -14, 0, -6, -5, 30, -75, -12, -40, 0, 6, -7, 24, 18, 0, -6, 0, -6, -30, 0, 4, 22, -36, 0, 0, -4, 108, -1, -21, -30, 0, -10, -34, 5, 0, -3, -6, 0, 0, 0, 32, 27, -63, -4, 0, 46, 0, 6, 42, 0, 4, 0, 11, 66, 30, -21, -44, 46, 0, 0, -24, 0, -4, -42, 0, 0, -3, 18, 32, 0, 36, -16, 0, -2, 0, 18, 12, 39, 39, 0, -6, 16, 39, 9, 0, 1, 0, 24, 4, 0, 12, -1, 74, 0, 0, 13, 18, 18, -17, 0, 0, -54, -14, 6, 0, 16, 26, 0, 0, 0, 80, 6, -25, -13, 0, 18, 23, 46, 24, 0, 27, 0, 56, -11, 0, -18, 18, -15, 0, -20, 18, -12, 12, 3, 0, 0, -42, -6, 42, 0, -19, -36, 0, -25, 0, 15, 3, -29, -52, 0, -3, 2, 0, -8, -45, 6, 0, 2, -64, 0, 14, -6, -6, 0, 0, 16, -35, -28, -14, 0, 0, -9, 24, -12, 0, -22, 25, 0, -25, -5, 0, 10, -16, 18, 0, 24, -3, 6, -11, 0, -11, 0, -33, -30, 0, -29, 50, -42, 0, 0, 50, -15, 4, 8, 90, 0, -108, -18, -36, 0, 78, -8, 0, -5, 0, 4, 54, 31, -1, 0, 30, 6, -54, 6, 0, -17, 0, -18, 21, 0, 26, -18, -4, 0, 0, -6, 22, -8, 24, 0, 0, 9, -8, 10, 0, -16, 45, 0, -28, 0, -46, 0, -72, -23, 0, -36, -12, 66, 0, 0, -37, 0, -18, 32, 0, -14, 32, 1, 0, 0, 45, 6, -34, 8, 0, 0, 66, 36, 2, 30, 3, -3, 0, -2, 0, -2, -22, -7, 75, 0, 62, -19, -6, -18, 0, 14, 0, -22, 24, 0, 10, -20, 90, 0, 20, 24, 15, 13, 54, 0, 0, 0, -6, -12, 0, -2, -12, 0, -6, 0, 20, 13, 0, 30, 0, -36, 17, 9, 9, -30, 0, 0, -2, 12, 0, -8, 0, 36, 0, 0, 14, 36, -48, -3, 0, 0, 18, 2, 96, 0, 68, 36, 0, 0, 0, -5, -94, 54, -11, 0, -90, 22, -73, 6, 0, -39, 0, 14, 74, 0, -18, -6, 54, 0, 0, 0, 36, 2, -24, 5, 0, 40, 90, 2, 0, 33, -54, 0, -2, 0, 18, -22, -14, 0, 0, -19, 54, -4, 18, 0, -24, 0, 36, 15, 65, -14, -48, -40, 0, 0, -6, -2, 20, 6, 0, 0, 47, 0, -58, 0, 66, 2, 0, 6, 0, -51, -24, 12, -20, 0, -8, -10, -26, 4, 0, -20, 0, -9, 36, 0, -72, 37, -15, 0, 0, -18, 65, 21, -10, 0, 0, 16, -91, 28, -10, 20, 66, 0, 22, 0, 30, 12, -6, 30, 0, 9, -52, -24, 36, 0, 0, 0, -58, 36, 0, -1, -18, -14, 0, 25, -66, 16, -4, -17, 0, 0, -12, -2, -14, 0, -4, -4, 0, 12, 0, -12, 6, 15, 16, 0, 14, -13, 52, 20, 75, 28, 0, -5, -36, 0, 63, -10, -36, 0, 0, -12, 12, -30, 56, 0, 0, -24, -45, 0, 0, -22, 20, 0, 6, -30, -67, 9, -12, 48, 0, 0, 80, -32, -46, 0, 3, 0, 6, 9, 0, 18, 114, -12, 0, 0, 36, 5, 24, 2, 80, 0, -37, -36, -69, 0, -162, 25, 0, 12, 0, 3, -14, -12, 30, 0, -24, -1, 98, -38, 0, 3, 0, 34, -54, -5, -38, 6, -18, 0, 0, 16, -5, 17, 66, 0, 0, 18, -11, -12, 0, -2, -28, 0, 65, 0, 84, 12, -44, -6, 0, -15, 0, -4, 9, 0, 17, 0, -102, 1, 0, 0, 60, -15, 0, 0, 16, 7, 33, 14, 0, 0, -1, -35, 29, 0, -26, 6, 0, 31, 0, 6, -6, -12, 8, 0, 3, 1, -6, 4, 0, -16, 0, -54, 24, 0, -22, 3, -16, 0, -60, 26, -94, -16, -12, 0, 0, 12, 56, -11, 0, 30, -66, 0, 53, 0, -12, -28, 36, 18, 0, -14, -36, 0, -99, 25, 4, 0, 0, -12, 0, -6, 53, 6, 0, 0, 0, -9, 68, -18, 0, 0, 2, -38, 59, 0, -28, -24, 0, 18, -10, 54, 75, -4, -15, 0, 5, -21, -6, -60, 0, -4, 0, 33, 6, 0, 51, 22, 10, 0, 0, -54, -66, -16, -13, 0, 0, -4, -81, 6, 0, 0, 32, 0, 72, 0, 12, 7, -40, 11, 0, -21, 41, -21, 0, 0, -102, 0, 18, -4, -10, 0, -3, 22, 0, 0, 80, 12, -6, -9, 0, 0, 39, 36, 3, 0, -64, -2, 0, -7, 0, -6, 74, 7, -48, 0, 12, -12, 44, 39, 0, 66, 0, -5, -53, 0, 8, 4, -117, 0, 0, -1, -34, -15, 51, 0, 0, -36, 15, 18, -45, -8, -3, 0, 36, 0, 12, -3, 44, 2, 0, 26, -54, -4, -18, 0, 24, 0, -69, -10, 0, 34, -2, 18, 0, 10, -58, 24, -24, -30, 0, 0, -64, -17, -36, 0, -6, 0, 0, -15, 0, -9, -66, -9, -38, 0, 18, 3, 72, -15, 0, -42, 0, -36, 3, 0, -44, 18, -15, 0, 0, 2, 8, 15, -60, 0, 0, 26, 9, 55, 0, 2, 21, 0, -26, -45, -40, 18, -33, -1, 0, -32, 24, 14, 54, 0, 0, 0, 15, -24, 0, 13, 23, 70, 0, 0, 42, -20, 10, 24, -10, 0, 66, 11, -135, 0, -18, -25, 0, 34, 0, 10, 18, 9, 48, 0, 126, -23, -10, 6, 0, -42, 0, -11, -6, -15, -18, -12, -7, 0, 0, 50, -36, 54, -12, 0, 0, 18, 69, -2, 0, -5, 24, 0, -90, 0, 65, -36, -40, 21, 0, 4, 16, -50, -70, 0, -29, 0, -8, 31, 0, 51, -144, 12, 0, 0, -34, 6, -12, 40, 0, 0, 2, 15, 57, 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": "154.2.e.c", "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], [-1], [-2], [0], [-1], [1], [-1], [0], [0], [1], [-6], [2], [2], [0], [0], [1], [-6], [-1], [-5], [1], [-5], [0], [9], [0], [-4], [-1], [-1], [6], [0], [-2], [2], [-2], [-1], [0], [-6], [0], [-4], [-1], [0], [6], [-6], [1], [0], [5], [-6], [-1], [0], [5], [0], [0], [2], [-9], [-3], [0], [11], [4], [0], [1], [0], [1], [11], [-6], [-6], [0], [0], [2], [2], [-2], [-5], [2], [0], [1], [5], [0], [1], [6], [-6], [0], [0], [4], [9], [1], [-18], [0], [0], [-6], [-4], [6], [0], [-1], [-13], [0], [2], [-5]]}