# Stored data for newform 1710.2.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "1710.2.a.d", "space_label": "1710.2.a", "level": 1710, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915667630, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1768946312837567941, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [1, 1]], [11, [0, 1]], [13, [1, 1]], [53, [3, 1]]], "qexp_display": "q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6840, "fricke_eigenval": 1, "atkin_lehner_string": "+-+-", "analytic_conductor": 13.654418745638946, "hecke_ring_index": 1, "level_radical": 570, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [1710, 1, [191, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 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": "1.045", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.148", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.413", "prec": 17}], "related_objects": ["EllipticCurve/Q/1710/d"], "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], [19, -1]], "trace_display": [-1, 0, -1, -1], "traces": [0, 1, -1, 0, 1, -1, 0, -1, -1, 0, 1, 0, 0, -1, 1, 0, 1, 3, 0, 1, -1, 0, 0, -3, 0, 1, 1, 0, -1, 3, 0, 2, -1, 0, -3, 1, 0, -10, -1, 0, 1, -6, 0, 2, 0, 0, 3, 0, 0, -6, -1, 0, -1, -3, 0, 0, 1, 0, -3, -3, 0, 8, -2, 0, 1, 1, 0, -7, 3, 0, -1, -12, 0, -13, 10, 0, 1, 0, 0, 14, -1, 0, 6, -6, 0, -3, -2, 0, 0, -6, 0, 1, -3, 0, 0, -1, 0, -10, 6, 0, 1, -12, 0, 8, 1, 0, 3, -15, 0, 11, 0, 0, -1, 12, 0, 3, 3, 0, 3, -3, 0, -11, -8, 0, 2, -1, 0, 2, -1, 0, -1, 0, 0, -1, 7, 0, -3, -9, 0, 8, 1, 0, 12, 0, 0, -3, 13, 0, -10, 12, 0, -10, -1, 0, 0, -2, 0, -10, -14, 0, 1, 3, 0, -22, -6, 0, 6, -18, 0, -12, 3, 0, 2, 6, 0, -1, 0, 0, 6, 0, 0, 2, -1, 0, 3, 10, 0, 0, 0, 0, 1, 27, 0, -22, 10, 0, -6, -6, 0, -19, -1, 0, 12, -3, 0, 6, -8, 0, -1, 0, 0, -25, -3, 0, 15, -2, 0, -2, -11, 0, 0, -3, 0, 14, 1, 0, -12, 15, 0, 26, -3, 0, -3, 6, 0, 0, -3, 0, 3, 15, 0, -4, 11, 0, 8, 6, 0, -1, -2, 0, 1, 0, 0, 0, -2, 0, 1, -18, 0, 10, 1, 0, 0, 0, 0, 3, 1, 0, -7, -18, 0, -7, 3, 0, 9, 0, 0, 8, -8, 0, -1, -18, 0, 14, -12, 0, 0, 6, 0, -8, 3, 0, -13, -21, 0, 3, 10, 0, -12, 3, 0, -2, 10, 0, 1, -8, 0, 20, 0, 0, 2, 3, 0, -1, 10, 0, 14, -9, 0, 0, -1, 0, -3, 3, 0, -1, 22, 0, 6, 0, 0, 5, -6, 0, 18, 7, 0, 2, 12, 0, -3, 0, 0, 13, -2, 0, -6, 30, 0, 14, 1, 0, 0, 33, 0, 12, -6, 0, 0, 33, 0, 1, -2, 0, 1, 13, 0, -16, -3, 0, -10, 3, 0, -31, 0, 0, 0, -3, 0, 35, -1, 0, -27, 24, 0, 0, 22, 0, -10, 24, 0, -9, 6, 0, 6, -14, 0, 8, 19, 0, 1, -6, 0, -2, -12, 0, 3, 0, 0, -22, -6, 0, 8, 3, 0, 6, 1, 0, 0, 30, 0, 17, 25, 0, 3, 3, 0, -8, -15, 0, 2, -24, 0, -4, 2, 0, 11, -3, 0, 38, 0, 0, 3, 24, 0, 6, -14, 0, -1, 30, 0, 0, 12, 0, -15, -1, 0, 35, -26, 0, 3, -6, 0, -16, 3, 0, -6, -12, 0, 7, 0, 0, 3, 0, 0, 1, -3, 0, -15, 24, 0, 10, 4, 0, -11, 10, 0, 2, -8, 0, -6, -30, 0, 9, 1, 0, 2, 12, 0, -10, -1, 0, 0, -39, 0, 12, 0, 0, 2, -18, 0, 13, -1, 0, 18, -8, 0, 0, -10, 0, -1, 0, 0, 11, 0, 0, 0, 6, 0, -14, -3, 0, -1, 6, 0, 15, 7, 0, 18, 0, 0, 20, 7, 0, -3, -11, 0, -4, -9, 0, 0, 3, 0, -14, -8, 0, 8, 12, 0, -2, 1, 0, 18, 12, 0, -12, -14, 0, 12, -24, 0, -22, 0, 0, -6, -3, 0, -7, 8, 0, -3, 6, 0, 0, 13, 0, 21, -30, 0, 2, -3, 0, -10, -30, 0, 3, 12, 0, -3, 30, 0, -34, 2, 0, -10, 11, 0, -10, -1, 0, 8, 0, 0, -16, -20, 0, 0, -6, 0, 44, -2, 0, -3, 6, 0, 1, 1, 0, -10, -30, 0, 32, -14, 0, 9, -2, 0, 6, 0, 0, 1, 12, 0, 50, 3, 0, -3, 33, 0, 0, 1, 0, -22, 0, 0, 0, -6, 0, 0, -21, 0, -49, -5, 0, 6, 1, 0, -9, -18, 0, -7, 0, 0, 20, -2, 0, -12, 15, 0, 10, 3, 0, 0, 12, 0, 9, -13, 0, 2, 3, 0, -10, 6, 0, -30, -8, 0, -18, -14, 0, -1, -48, 0, -10, 0, 0, -33, 12, 0, 26, -12, 0, 6, -6, 0, 0, 0, 0, -33, -33, 0, -8, -1, 0, 2, 3, 0, -13, -1, 0, -13, 6, 0, -4, 16, 0, 3, 0, 0, 2, 10, 0, -3, -18, 0, -12, 31, 0, 0, 15, 0, 2, 0, 0, 3, 10, 0, 2, -35, 0, 1, 21, 0, -11, 27, 0, -24, 3, 0, -55, 0, 0, -22, -21, 0, 2, 10, 0, -24, -6, 0, 0, 9, 0, -6, 10, 0, 5, -6, 0, 14, -12, 0, -8, -8, 0, -19, 33, 0, 0, -1, 0, 6, 0, 0, -3, 2, 0, 12, -33, 0, -7, -3, 0, 0, 22, 0, 2, 22, 0, 6, 12, 0, -31, -8, 0, -3, -33, 0, -13, -6, 0, -1, -18, 0, 18, 0, 0, -30, -36, 0, -20, -17, 0, -25, 12, 0, 11, -3, 0, -3, 30, 0, 50, 8, 0, 15, -48, 0, -16, -2, 0, 24, 12, 0, -6, 4, 0, -2, 0, 0, 7, -11, 0, 3, 1, 0, -31, -38, 0, 0, -42, 0, 38, -3, 0, -24, -24, 0, -2, -6, 0, 14, 0, 0, 0, 1, 0, -30, 6, 0, -9, 0, 0, -12, -2, 0, 35, 15, 0, 1, 36, 0, 0, -35, 0, 26, 0, 0, -1, -3, 0, 6, 12, 0, -10, 16, 0, -3, -21, 0, -6, 6, 0, 12, 0, 0, 47, -7, 0, 0, -45, 0, 18, -3, 0, 0, -24, 0, 13, -1, 0, 3, 36, 0, -27, 15, 0, -24, 9, 0, -27, -10, 0, -4, 22, 0, 44, 11, 0, -10, -12, 0, -8, -2, 0, 8, -6, 0, 0, 6, 0, 30, -54, 0, 6, -9, 0, -1, -6, 0, 2, -2, 0, -12, 19, 0, -46, 10, 0, 1, 0, 0, -9, 0, 0, 39, -3, 0, 20, -12, 0, 0, 42, 0, 3, -2, 0, 18, -45, 0, -19, -13, 0, 1, -6, 0, -14, -18, 0, 8, -24, 0, -19, 0, 0, 10, 24, 0, -34, 1, 0, 0, -12, 0, 0, -11, 0, 0, 42, 0, 50, 0, 0, -6, 25, 0, 10, 14, 0, 3, 18, 0, 14, 1, 0, -6, 0, 0, 14, -15, 0, -7, -30, 0, 2, -18, 0, 0, 6, 0, 0, -20, 0, -7, 2, 0, 17, 3, 0, 11, 51, 0, 38, 4, 0, 9, 36, 0, 10, 0, 0, -3, 45, 0, 3, 14, 0, 8, -30, 0, 0, -8, 0, -12, -14, 0, -43, 2, 0, -1, -3, 0, -52, -18, 0, -12, 18, 0, -40, 12, 0, 14, 0, 0, -15, -12, 0, 24, -21, 0, 22, 22, 0, 0, -26, 0, -20, 6, 0, 3, -21, 0, -16, 7, 0, -8, 6, 0, 8, 3, 0, -6, 48, 0, -6, 0, 0, -13, 18, 0, 20, -21, 0, 30, 0, 0, 0, -2, 0, 3, 57, 0, 12, 10, 0, 30, 12, 0, -18, -3, 0, -12, -54, 0, -15, 3, 0, -30, 0, 0, 41, 34, 0, -2, 4, 0, -36, 10, 0, -11, -6, 0, 20, 10, 0, 1, 27, 0, 9, -8, 0, 0, 51, 0, -6, 16, 0, 20, -66, 0, -28, 0, 0, 6, 1, 0, 11, -44, 0, 2, -39, 0, 0, 3, 0, -6, 6, 0, -22, -1, 0, -1, 0, 0, 0, 10, 0, 30, -6, 0, 10, -32, 0, 14, 0, 0, -2, -9, 0, 2, -12, 0, -7, -6, 0, 0, 60, 0, -7, -1, 0, -12, 39, 0, 18, -50, 0, -3, -9, 0, -1, 3, 0, -33, -10, 0, 59, 0, 0, -1, 0, 0, 32, 22, 0, 0, -27, 0, 0, 0, 0, 6, 12, 0, 0, 0, 0, 21, -18, 0, 20, 49, 0, 5, -3, 0, -49, -6, 0, -1, 0, 0, 4, 9, 0, 18, -27, 0, -8, 7, 0, 0, 42, 0, 18, -20, 0, 2, -12, 0, 22, 12, 0, -15, 7, 0, 9, -10, 0, -3, -42, 0, 0, 0, 0, -12, -6, 0, 63, -9, 0, 13, -6, 0, 0, -2, 0, -3, 6, 0, -22, 10, 0, -6, -8, 0, -13, 30, 0, 8, 15, 0, 19, 18, 0, 14, 0, 0, 2, 1, 0, 48, -24, 0, 18, 10, 0, 0, 0, 0, -18, 33, 0, -12, -14, 0, -11, -26, 0, 12, -18, 0, -25, -6, 0, 6, 9, 0, -58, 0, 0, 0, -54, 0, -6, 33, 0, 33, 0, 0, 0, 8, 0, 1, 8, 0, 8, -2, 0, -3, -30, 0, 68, 13, 0, 1, 0, 0, -25, 13, 0, -6, 0, 0, 21, 4, 0, -16, -12, 0, 68, -3, 0, 0, -3, 0, 25, -2, 0, -10, 30, 0, 26, 3, 0, 18, -69, 0, -46, 12, 0, -31, 6, 0, -3, 0, 0, -15, 54, 0, 14, -2, 0, 0, 2, 0, 0, -3, 0, -10, -6, 0, -18, -2, 0, 35, 60, 0, -12, -1, 0, -21, 36, 0, 8, 11, 0, -27, 0, 0, 20, 24, 0, -3, -20, 0, -9, 55, 0, 0, 21, 0, 5, 22, 0, 21, 3, 0, -19, -2, 0, -10, -6, 0, -3, 24, 0, 6, 24, 0, -14, 0, 0, -9, 1, 0, -16, 6, 0, -10, 24, 0, 11, -5, 0, 6, -6, 0, -16, -14, 0, 12, 69, 0, 9, 8, 0, 8, -15, 0, -20, 19, 0, -33, 0, 0, 32, 0, 0, 1, -15, 0, -26, -6, 0, 0, 9, 0, -28, 3, 0, -2, 54, 0, -3, -12, 0, 33, 12, 0, 38, 7, 0, 3, 1, 0, 44, 0, 0, -22, -6, 0, 36, -2, 0, -22, 30, 0, 0, -6, 0, -12, -6, 0, 0, 31, 0, 8, -30, 0, -2, 3, 0, 33, -5, 0, 2, 13, 0, 6, 0, 0, -46, 1, 0, 18, -36, 0, -46, -18, 0, 0, -15, 0, -7, 30, 0, 36, 39, 0, -5, 20, 0, 17, -2, 0, 4, 25, 0, -12, -6, 0, 11, -11, 0, 3, -30, 0, 35, 3, 0, -30, 0, 0, 0, -50, 0, -8, 45, 0, -9, -15, 0, 48, -13, 0, -36, 16, 0, 2, 69, 0, -49, -24, 0, -12, 0, 0, 1, 6, 0, -4, 0, 0, -30, 2, 0, 0, 0, 0, -31, -7, 0, 11, -14, 0, 11, -3, 0, -1, 24, 0, -1, 31, 0, 38, 0, 0, 23, 0, 0, 42, -12, 0, -33, -38, 0, 3, 24, 0, 0, 24, 0, 24, -12, 0, 8, 2, 0, 6, 9, 0, -7, -14, 0, 0, 24, 0, 29, 0, 0, -1, 0, 0, -33, 30, 0, -6, 18, 0, 32, 9, 0, 0, -1, 0, -8, 12, 0, 2, 0, 0, 60, -35, 0, -15, -42, 0, -45, -1, 0, -36, 66, 0, -13, 0, 0, 35, -6, 0, -67, -26, 0, 0, 16, 0, 0, 1, 0, 3, 0, 0, -10, -6, 0, -12, -75, 0, -39, 10, 0, -16, 33, 0, -3, 3, 0, 21, 0, 0, -31, 6, 0, -6, 31, 0, 32, -12, 0, 0, -36, 0, -37, -47, 0, 7, 42, 0, -49, 0, 0, 45, 18, 0, 3, -18, 0, 3, 54, 0, 16, 0, 0, 24, -35, 0, 7, -13, 0, 1, 36, 0, 0, -3, 0, -36, -72, 0, 18, 27, 0, -15, -36, 0, -24, 24, 0, -9, -12, 0, 36, 27, 0, 10, 0, 0, 0, 4, 0, -22, -84, 0, 2, -44, 0, -11, -12, 0, -8, 10, 0, 12, -21, 0, -24, 8, 0, 2, 18, 0, -46, -8, 0, 6, 9, 0, 8, 0, 0, -6, 30, 0, 10, -30, 0, 54, 18, 0, 0, -6, 0, 9, -18, 0, 14, 1, 0, 6, 15, 0, -14, -2, 0, 2, -8, 0, -16, 12, 0, -19, 0, 0, -22, 46, 0, -10, 3, 0, 41, -1, 0, 0, -9, 0, 6, 9, 0, 0, 36, 0, -10, -39, 0, 3, 2, 0, -10, -20, 0, 12, 0, 0, 8, 0, 0, -42, -57, 0, 59, -3, 0, 2, -15, 0, 0, -18, 0, 45, -48, 0, 10, 19, 0, 13, 22, 0, 18, -1, 0, 6, 21, 0, 32, 14, 0, 18, -33, 0, -36, -8, 0, 24, -24, 0, -3, 19, 0, 0, -84, 0, 11, -10, 0, -24, -6, 0, -14, 34, 0, -1, 48, 0, 68, 0, 0, 12, 12, 0, -70, 0, 0, 11, -3, 0, -30, 0, 0, -42, -42, 0, 0, -50, 0, 0, -17, 0, -12, 6, 0, -25, 0, 0, -31, -10, 0, -14, -39, 0, 22, -3, 0, -18, 0, 0, -3, -14, 0, -1, -30, 0, 77, 6, 0, 0, 8, 0, 65, -14, 0, 15, 15, 0, 8, 7, 0, 30, 12, 0, -20, -2, 0, 18, -9, 0, 24, 0, 0, -6, 6, 0, -76, 0, 0, 20, 4, 0, 0, 7, 0, -2, 18, 0, 18, -17, 0, -3, -3, 0, -85, -11, 0, -51, 30, 0, 3, -38, 0, -4, 0, 0, 1, -9, 0, -36, -38, 0, 25, -10, 0, 0, -24, 0, 83, 3, 0, -45, -78, 0, -47, -3, 0, -14, -6, 0, -24, -8, 0, 30, 9, 0, -52, 0, 0, 8, -6, 0, 0, 12, 0, 14, 30, 0, 0, 43, 0, -2, 39, 0, 17, 1, 0, 3, -42, 0, -30, 52, 0, 18, -6, 0, 2, 12, 0, -18, 0, 0, -80, 40, 0, -12, -3, 0, -26, -14, 0, 0, -54, 0, -25, 15, 0, 12, 36, 0, 1, -24, 0, 21, -6, 0, -73, -22, 0, -22, -35, 0, -7, 0, 0, 26, 42, 0, 17, 20, 0, -6, 51, 0, -11, -3, 0, 21, 0, 0, 6, 16, 0, -7, 3, 0, -10, 8, 0, -6, 16, 0, -5, -8, 0, -3, 0, 0, 36, 6, 0, -48, 0, 0, -27, 6, 0, 0, -51, 0, 12, 13, 0, -18, 48, 0, 38, -20, 0, 21, -7, 0, -1, -30, 0, 0, -60, 0, -2, 0, 0, 2, 96, 0, -2, -3, 0, -57, 24, 0, 0, -12, 0, -10, -24, 0, -4, -30, 0, -12, -1, 0, 32, 18, 0, 3, 12, 0, 8, 12, 0, 54, 0, 0, 86, 15, 0, -3, 24, 0, -24, 30, 0, 0, 27, 0, 29, -41, 0, -34, -10, 0, -18, 2, 0, -4, -60, 0, 2, 36, 0, -10, 27, 0, 18, 11, 0, 6, 30, 0, -10, -20, 0, -10, -30, 0, 0, -1, 0, -27, -2, 0, 62, -9, 0, 8, 78, 0, -14, 0, 0, -51, -12, 0, 28, 6, 0, -16, 0, 0, 30, -20, 0, 66, -27, 0, 45, 28, 0, 0, -9, 0, -52, -6, 0, -1, -33, 0, 62, -11, 0, 44, -54, 0, 70, -2, 0, 39, -27, 0, -12, 0, 0, -3, 0, 0, 0, 6, 0, -6, 10, 0, 0, 22, 0, 1, -48, 0, -40, 1, 0, 0, -33, 0, 22, 0, 0, -10, -33, 0, 39, -30, 0, 6, 0, 0, -22, -10, 0, 32, -12, 0, -1, -14, 0, 0, 66, 0, 36, 2, 0, 9, -6, 0, 65, -2, 0, 12, -63, 0, 18, 7, 0, 6, 15, 0, -16, 0, 0, -60, -13, 0, 20, 7, 0, 1, 6, 0, 0, 12, 0, -39, -30, 0, 16, -18, 0, 50, -12, 0, 8, 3, 0, 9, 15, 0, -18, 1, 0, -3, 0, 0, 19, 33, 0, 10, -48, 0, -70, -59, 0, 0, 18, 0, -36, 1, 0, 0, -9, 0, 0, -32, 0, -22, -33, 0, 31, 0, 0, 27, -11, 0, -46, 0, 0, 0, -42, 0, 16, -6, 0, -12, 120, 0, 0, 0, 0, 0, -6, 0, -6, -21, 0, 18, 3, 0, 8, -20, 0, -49, 14, 0, -43, -5, 0, 3, 0, 0, -35, 49, 0, 6, 30, 0, -73, 1, 0, 0, -42, 0, -6, -4, 0, -9, -30, 0, 47, -18, 0, 27, -15, 0, 86, 8, 0, -7, -24, 0, -70, 0, 0, -42, 12, 0, -22, -18, 0, 20, 51, 0, 0, -2, 0, 12, 66, 0, 130, -22, 0, -12, -20, 0, -88, 15, 0, -7, 30, 0, 14, -9, 0, 10, 0, 0, 50, 3, 0, 42, -24, 0, 11, 0, 0, 0, 12, 0, 20, 12, 0, 6, 4, 0, 9, -63, 0, 9, 30, 0, 25, -13, 0, 6, 42, 0, 14, 0, 0, 2, -6, 0, -3, 3, 0, -6, -12, 0, 0, 22, 0, -10, 14, 0, -22, 6, 0, 8, -66, 0, 0, 13, 0, -30, 30, 0, -8, -8, 0, -15, 33, 0, -12, -19, 0, -18, 6, 0, -7, -14, 0, 0, 2, 0, -64, -2, 0, -1, 48, 0, 95, -48, 0, 24, 6, 0, -44, -18, 0, -10, -30, 0, -12, 0, 0, 0, -78, 0, 2, 18, 0, -33, 12, 0, 0, 12, 0, 14, 12, 0, 50, 11, 0, 26, 30, 0, -54, -12, 0, 18, 75, 0, 24, 25, 0, 6, 0, 0, -52, -6, 0, -9, 22, 0, -13, 58, 0, 0, -90, 0, 22, 0, 0, 54, 0, 0, -10, 6, 0, -33, -36, 0, 3, -33, 0, 0, 12, 0, -14, 0, 0, -8, 7, 0, -82, -1, 0, -8, 18, 0, 0, -8, 0, 2, 63, 0, -14, 3, 0, 30, 0, 0, -6, -68, 0, -13, -30, 0, 72, -1, 0, 0, 0, 0, -67, 25, 0, -13, -6, 0, -140, 6, 0, 0, 3, 0, -36, -21, 0, -4, -30, 0, 30, 16, 0, 12, 75, 0, 18, -68, 0, 3, -2, 0, -17, 0, 0, 3, -15, 0, -88, -25, 0, 2, -33, 0, 0, 10, 0, -30, -81, 0, 30, -26, 0, -3, 33, 0, 8, -18, 0, 69, -3, 0, -26, 46, 0, -12, 0, 0, -10, 31, 0, -6, 24, 0, -48, 3, 0, 0, 78, 0, -30, 15, 0, -54, -45, 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": "190.2.a.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], [0], [1], [-1], [0], [-1], [-1], [0], [1], [0], [0], [-1], [1], [0], [1], [3], [0], [1], [-1], [0], [0], [-3], [0], [1], [1], [0], [-1], [3], [0], [2], [-1], [0], [-3], [1], [0], [-10], [-1], [0], [1], [-6], [0], [2], [0], [0], [3], [0], [0], [-6], [-1], [0], [-1], [-3], [0], [0], [1], [0], [-3], [-3], [0], [8], [-2], [0], [1], [1], [0], [-7], [3], [0], [-1], [-12], [0], [-13], [10], [0], [1], [0], [0], [14], [-1], [0], [6], [-6], [0], [-3], [-2], [0], [0], [-6], [0], [1], [-3], [0], [0], [-1], [0], [-10], [6], [0], [1]]}