# Stored data for newform 6045.2.a.i, downloaded from the LMFDB on 18 April 2024. {"label": "6045.2.a.i", "space_label": "6045.2.a", "level": 6045, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052524445, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1055258447393840109, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 1]], [7, [0, 1]], [11, [0, 1]]], "qexp_display": "q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24180, "fricke_eigenval": 1, "atkin_lehner_string": "-+-+", "analytic_conductor": 48.26956802186399, "hecke_ring_index": 1, "level_radical": 6045, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [6045, 1, [4031, 4837, 1861, 2731], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 13, 31], "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": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "4.588", "prec": 17}], "related_objects": ["EllipticCurve/Q/6045/i"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [13, -1], [31, 1]], "trace_display": [1, 1, -1, 0], "traces": [0, 1, 1, 1, -1, -1, 1, 0, -3, 1, -1, 0, -1, 1, 0, -1, -1, -2, 1, 4, 1, 0, 0, -8, -3, 1, 1, 1, 0, 10, -1, -1, 5, 0, -2, 0, -1, -10, 4, 1, 3, 6, 0, 12, 0, -1, -8, 0, -1, -7, 1, -2, -1, -6, 1, 0, 0, 4, 10, -12, 1, -2, -1, 0, 7, -1, 0, 4, 2, -8, 0, -8, -3, -6, -10, 1, -4, 0, 1, -16, 1, 1, 6, -16, 0, 2, 12, 10, 0, -14, -1, 0, 8, -1, 0, -4, 5, -14, -7, 0, -1, -18, -2, 16, -3, 0, -6, 8, -1, 6, 0, -10, 0, -6, 4, 8, -10, 1, -12, 0, 3, -11, -2, 6, 1, -1, 0, 16, -3, 12, -1, 0, 0, 0, 4, -1, 6, -6, -8, -12, 0, 0, -8, 0, -1, -10, -6, -7, 10, 18, 1, -16, -12, -2, 0, 1, -1, 14, -16, -6, -5, 0, 1, 20, -6, 0, -16, -20, 0, 1, 2, 4, -12, 6, 10, 0, 0, -12, -14, 4, 1, 14, 0, -2, 24, 10, -1, 0, 0, 0, -4, -12, 7, -6, -14, -1, 7, 22, 0, -16, -3, 4, -18, 0, 2, -6, 16, -8, -1, 0, 0, -20, 6, -8, 8, -12, -3, 0, 6, -6, 0, -2, -10, 0, 0, 1, -6, -12, -4, 22, 8, 0, -30, 18, 1, 0, 12, -16, 0, 12, 1, -14, -11, 1, 2, 7, 6, 4, 3, -16, -1, -28, 0, 0, 16, 2, -17, -6, 12, 0, 1, 10, 0, 8, 0, 6, 0, -14, -4, 2, -1, -16, 2, 0, -6, 0, 8, -26, -12, -1, 0, -18, 0, 4, 8, -4, 0, 0, 5, -13, -10, -14, 6, 26, -7, 12, 30, 0, 18, -8, -1, 0, -16, -18, -4, 2, -2, 20, 0, 16, 1, 20, -3, -14, 14, 0, 16, -14, -6, 0, -7, 8, 0, -8, -1, 1, 20, 6, -18, 0, 0, 4, 16, -10, -20, -4, 0, -14, 1, -6, -2, 0, 4, 0, -36, 8, 6, -36, -10, -2, 0, 1, 0, -14, -12, 8, 14, 0, 4, -8, 3, -3, 14, -11, 0, 6, -2, -8, 8, 6, 10, 0, 1, 6, 0, -1, 0, 10, 0, 4, 4, 16, -12, 20, -3, 0, -6, 12, 14, 2, -1, 16, 21, 0, 22, 16, 0, 38, -16, 0, -1, 10, 4, -1, 18, -1, 0, 0, 6, 10, -6, -6, -16, 0, -8, 16, 5, -12, 0, -8, 0, -34, -20, 0, 18, -2, -8, 0, -8, 0, -12, -16, -1, 26, 0, -10, -6, -32, -6, 32, 0, -7, -2, 24, 10, 14, 0, 18, 0, -6, 1, 0, 6, -16, -12, 0, -12, -22, 22, -2, -8, -26, 0, 8, -10, 1, 18, -16, -1, 0, 0, 14, 36, 0, -16, 4, 0, -6, 12, 8, -5, -10, -14, 0, 11, 14, 1, 16, 6, 20, 7, -20, -6, -20, 4, 0, 1, 0, -16, 4, 1, -20, -28, -12, 0, 18, 0, 1, -16, -18, 2, 0, -11, 4, -6, -16, -12, 0, 0, 6, 3, -30, 10, 36, 0, 0, 8, 2, 0, 41, 6, -12, 0, 6, -14, -8, -12, 4, 2, 0, 1, 6, -16, 14, -10, -6, 0, -4, 6, -2, 0, 40, 24, 0, -26, 10, 12, 30, -1, 12, 0, 0, -18, -8, 0, 6, 4, 0, 24, 38, -4, -12, 0, -12, 0, -8, 7, -38, -13, -6, 10, 0, -14, 0, 18, -1, 26, 8, 7, -4, 12, 22, 10, 6, 0, 0, -18, -16, -8, -12, -3, -6, 0, 4, 16, 11, -18, 24, 20, 0, 2, 0, 2, -10, 20, -6, 0, 6, 16, 4, -1, -8, 20, 0, -1, 1, -14, 0, -14, 20, 0, -16, 48, -20, -14, -16, 6, -7, 0, -8, 3, -18, 8, 36, 0, -12, -8, 0, -3, 0, 1, 0, -20, 46, 6, 0, -6, -6, 0, 8, 0, 22, 4, -2, 48, 0, -10, -80, 20, 0, -4, 0, 0, -38, -14, 1, -1, 18, -6, 0, -6, -12, 0, 4, -4, 6, 0, 22, -12, -6, 8, 36, -6, 0, -36, 12, -30, -12, -2, 18, 0, 6, 1, -40, 0, 0, -14, 0, 12, 38, 8, -16, 42, 8, 0, 0, -4, 12, -8, 0, 1, 0, -3, -14, -14, 10, -11, -32, 0, 1, 6, -24, 2, 46, -8, 7, -40, 0, 6, -12, -10, 4, 0, -12, 3, -18, 6, -16, 0, 0, -1, 24, 0, -28, 10, 16, 0, 38, 4, 0, 12, 10, 16, 0, 12, 2, 20, -12, -17, -14, 0, -6, 6, -26, 12, -1, 42, 0, 2, 24, 1, 0, 16, 10, 7, -14, 0, -36, -22, 8, 16, 0, 0, -2, 38, 6, 16, -6, 0, 0, 5, -14, 10, 0, -4, 0, -1, 2, 54, 14, -1, -20, 0, -16, 0, -20, 2, 48, 10, 0, 6, 38, -6, 40, -48, 0, 0, 24, 8, 6, 16, -26, 7, 14, -12, 20, 0, -1, -8, 0, 0, 71, -34, -18, 20, -1, 0, 0, 6, 4, -2, 80, 8, -50, 0, -4, -24, 34, 0, 20, 12, 0, -16, -36, 5, -6, 26, -13, 0, 0, -10, 4, -18, -14, -32, 0, 6, 22, 32, 26, 0, -2, -7, 28, 2, 12, 24, -36, 30, 0, 14, 0, 0, 0, 18, -4, 0, -8, -6, -10, -1, 12, 0, 0, 18, -14, -16, 44, 12, -18, 0, 24, -4, 0, -22, 2, -22, 0, -2, -24, -24, 20, -26, -8, 0, -10, 8, 16, 50, -6, 1, -28, -18, 20, -16, 0, -3, 26, 0, -14, 0, -10, 14, -48, 12, 0, 0, -32, 16, -6, 4, -14, 0, 30, -6, 12, -12, 0, 8, 0, -7, 1, -10, 8, 14, 6, 0, -8, 33, -8, 14, 32, -1, 0, 16, 1, 2, -58, 20, 0, -7, 6, -20, -4, -18, -22, -20, 0, -4, -96, 0, 32, -5, 4, 0, 16, 16, 38, 4, -10, 3, 0, -20, 24, 28, -4, -12, -24, 0, -46, 18, -14, 0, -30, 1, 0, -48, -6, -18, 0, -2, -34, 0, 0, 23, 6, 4, -16, 6, 0, -16, 12, -36, -22, 0, 8, 0, 4, 6, 16, 1, -36, -30, 0, -10, 0, 36, -2, 0, -42, 0, -36, -8, 1, 2, 20, 0, 0, 41, -14, -6, -6, -12, -8, 0, 8, 6, 0, 14, 46, -8, 0, -4, -100, 4, 12, -2, -8, 0, -16, 3, 0, 6, -3, 16, 0, 14, -32, -14, -11, -6, -12, 0, 6, -4, 6, 18, -38, -2, 0, 0, -8, 40, 8, 8, 2, 0, 6, 26, 42, 10, 0, 36, 0, 30, 0, 1, -34, 12, 6, 0, -48, 0, 44, 18, -1, -8, 56, 0, 58, 6, 10, -4, 0, 0, 12, 8, 4, 38, -8, 4, 0, -12, 16, 0, -22, -12, 10, 0, 20, -8, -24, -3, 50, -38, 0, 13, -14, -6, -8, 30, 12, 0, -12, 14, -18, 0, 2, 6, 0, -1, -28, -26, 16, 8, 0, 21, 0, -4, 0, -12, 54, 22, 0, -50, 16, 6, -8, 0, 60, 0, 38, -54, -18, -16, -12, 8, 0, -12, 0, -1, -14, -6, 10, 0, 14, 4, 16, 48, -1, 11, 0, 18, 30, 24, -1, 28, -10, 0, 48, -2, 0, 0, 4, 6, -7, -10, 10, -20, -46, -6, 40, 0, -6, 6, -4, -16, -10, 4, 0, -3, 12, -8, 0, -20, 16, 0, 120, 5, -46, 1, -12, 14, 0, 0, 28, -42, -8, 20, -12, 0, -14, -16, -34, 16, 0, -20, 0, 14, 0, -16, -6, 18, 16, -7, -2, 0, 10, -8, -8, 17, 0, -18, -52, -8, 6, 36, 0, 0, -42, -12, 4, 8, -16, 0, 0, -1, -6, 0, 26, -1, 42, 0, 16, -60, -10, 46, 20, -6, 0, 0, -32, 30, -18, -6, -8, 0, 32, 8, 36, 0, 10, 22, -7, -4, -6, -2, -16, 16, 24, 0, 0, 10, -12, -80, 14, 60, 0, 0, 16, 4, 18, 0, 32, 0, -2, -38, -6, 14, -32, 1, 0, -3, 0, 18, 16, 6, 96, 0, -16, -2, -30, -12, 0, 0, 0, 4, -4, -12, 63, 6, -22, 0, -54, 22, 0, 60, -2, -6, 0, -8, -18, 36, -26, -18, 26, 0, -24, 36, 8, 12, 8, -10, 0, -12, 1, 2, 0, 18, -40, 0, -16, 6, 16, -1, 18, -40, 0, 0, -66, 0, 32, 14, 14, 0, -4, 36, 6, 38, 0, -8, -70, -16, -8, 14, 4, 8, -48, 0, 54, 0, -6, -12, 18, 12, 0, 8, 8, 0, -32, -5, 0, 0, -10, 3, 13, -14, -24, -42, 0, 10, -36, 11, -66, -32, 14, 0, 0, 1, 20, -6, 16, -24, 0, 6, -26, 46, 20, 8, -6, 7, 24, -56, -20, 0, -12, -6, 0, -12, -20, -30, 30, 4, -4, 0, 0, -12, 4, 1, -54, -18, 0, -6, -6, -16, 8, 0, 4, 0, -52, 1, -64, 24, -20, 0, 0, -28, 0, -10, -12, 16, -24, 0, 28, 38, 18, -4, -60, 0, 7, 4, 1, 10, 4, -16, -2, 0, -18, 36, 0, 2, -20, -20, 0, -12, -20, -11, -60, -14, 4, 0, -32, -6, -16, 18, -16, -26, 0, -12, 14, -1, 0, 14, 2, 0, -20, -2, 6, 24, -68, 3, 0, 0, -30, -16, 14, 10, -40, -35, 36, -14, -24, 0, -11, -36, 0, -66, -64, 8, 68, -16, 2, 0, -12, 0, 14, -2, 41, -38, 0, 6, -120, 48, -12, -6, 0, 0, -18, 0, 6, 7, -66, -14, 0, -10, -8, 0, 36, -12, 10, 0, 4, 1, -10, 2, 8, 18, 0, 14, 60, 1, -42, -20, 6, 0, -1, -16, 44, 0, 14, -20, 0, -10, 64, 48, -6, -10, 54, 0, 0, 18, -4, 38, 6, 6, 0, 40, -2, -16, 28, 0, 16, 0, 40, 24, -4, 24, 66, 6, 0, -16, 0, -26, -32, -3, 10, 14, 36, 12, -42, 20, 30, 0, 0, -1, 4, 8, 12, 0, 48, 0, -5, 71, 0, 34, 14, -18, 0, 60, -8, -1, -56, 0, 46, 0, 6, -30, -78, 4, 28, 2, 0, 80, 0, 24, 0, -50, 38, 0, -30, -4, -120, -8, -12, 34, 0, 0, 36, 20, -12, 36, -34, 0, 4, 16, -8, -36, 0, 7, 0, -6, -38, -26, 54, -13, 36, 0, -6, 0, 0, 10, -50, 4, 0, -6, 2, -14, -52, 32, 0, 0, -32, 18, 10, 22, -1, -32, 0, 26, 56, 0, 8, -2, 72, 7, 14, 28, -4, 6, -20, 12, 0, -24, 22, -36, -8, 10, 50, 0, 6, -14, -6, 0, -56, 0, 0, 0, 52, -18, -34, -4, -16, 0, 0, -8, 8, 6, -12, -10, 0, -3, 58, 12, -6, 0, 3, 0, -12, 6, 4, -14, 52, 16, 70, 44, 11, 36, 128, -18, -16, 0, 24, 24, 60, 20, -6, 0, 0, 22, 12, 2, -48, -66, 0, 0, 8, 2, 0, -24, -10, -8, 0, 20, -56, 26, -6, -8, -36, 0, 101, -10, 6, -8, -12, 16, 0, 70, 4, -6, 0, -1, -10, -28, -8, -54, -6, 20, 4, 16, 0, 0, -80, -1, 82, 26, 1, 0, 78, -14, 0, 0, 0, -10, 0, -14, -10, -48, 20, -60, 6, 0, 2, 0, -16, -32, -4, 48, 0, -6, -20, -4, -10, -14, 0, 0, -16, 30, 0, 6, 128, 12, -7, -36, 34, 0, -20, -8, -8, 0, -72, 3, 12, 1, -18, 10, 0, 8, 0, 42, 36, 6, -28, 0, -10, -8, -12, 11, 18, -8, 0, -14, 0, 32, 40, -3, -2, 0, 0, -16, 10, 1, 40, -10, 0, -58, -16, -20, 64, 0, 46, -21, 60, 6, -16, 20, 0, -4, 0, -6, 0, -22, -6, 20, 14, 0, -16, -12, 8, -96, 4, 0, 0, 32, 22, -7, -38, 4, -28, 0, -2, 16, 0, 48, -22, 38, 0, -4, -66, -10, 32, 1, -80, 0, 64, 20, -10, 24, 0, 84, -42, -4, -36, 12, 0, -24, 1, 0, 82, -46, -38, -18, 0, -14, 0, 0, 1, -30, -44, -1, 62, 0, 18, -16, 32, -6, 0, 18, 0, 0, -44, -6, 14, -34, -12, 0, -10, 0, 112, 45, 4, 6, 0, -4, -10, -16, 6, 18, 22, 0, -80, 16, 22, 12, -72, -12, 0, -22, -6, 0, 70, 8, 24, 0, 36, 4, -16, -6, -4, 16, 0, -5, -78, -36, 52, 30, 12, 0, 64, -30, 34, 0, -12, -36, 0, -2, 8, 0, 18, -42, 8, 0, 0, -36, 6, -24, 34, 1, -84, -2, -40, 20, -28, 0, 82, 0, 0, -41, -60, -14, 20, -18, 0, -6, 0, 12, 2, -8, 38, 0, 6, 8, 68, -6, -16, 0, 0, 42, 42, 46, 8, 8, -50, 0, -72, 20, 0, -100, -24, -4, 0, 12, 12, -6, 22, -8, 16, 0, 0, -16, -32, 1, 42, 0, 0, -6, -26, -3, 0, 48, -14, 0, -20, -14, -36, -32, 10, 6, 0, -11, 4, 6, -32, -12, 120, 0, 32, 6, 1, 4, 0, 6, 0, 6, -24, -38, -32, 2, 1, 0, 46, 0, 8, -8, -68, -40, 7, 8, 8, -40, -47, 2, 0, 0, -46, 6, -24, 78, -12, 42, 0, -10, 38, 0, 4, 12, -14, 0, 0, -30, -12, 0, 112, 3, 0, -34, -18, -12, -26, 6, -64, 0, -16, -48, -88, 0, 6, 44, 0, 54, 6, -1, 68, 8, 24, 56, 0, 0, 20, 58, -28, -6, 0, 10, 6, -12, 16, 0, 76, 0, 62, 12, 38, -40, -10, 4, 0, -38, 0, -8, -72, 12, 50, 0, 10, 12, 22, 16, 0, 0, 0, -22, -160, 12, 38, 10, 2, 0, 70, 20, -44, 8, -12, -24, 0, -17, 26, 50, -14, 38, -66, 0, 40, 39, -6, -14, -8, 6, 0, -8, -26, 10, 0, 12, 144, 0, -1, -12, 4, 42, 12, -18, 0, 0, 74, 2, 16, -30, 24, 0, 0, 1, -58, -28, 0, -78, 0, 16, 52, -8, 10, 0, -60, 7, 14, 0, -14, 4, -18, 0, 0, -36, -36, 54, 24, -22, 0, 0, 8, -70, -128, 16, 4, -6, 0, -8, -4, 0, -54, 60, -2, 0, 18, 38, 24, -18, 6, -18, 0, 16, -10, -12, -6, 24, 86, 0, -8, 12, 0, 0, 4, 5, 49, -14, -14, 6, 10, 10, -160, 0, 0, 14, -96, -4, 64, 16, 0, 16, 46, -1, -72, -11, 2, 0, 64, 54, -14, 30, 14, -24, 0, -1, 0, -12, -20, -10, -16, 0, -82, 48, -16, -6, -42, 0, 0, 0, -20, 4, 72, 2, 16, -7, 48, 10, 0, 10, 20, -60, 0, -46, -68, 6, -64, 40, 38, 0, 20, -6, -76, -6, 40, -4, 0, -48, -78, -10, 0, -4, 42, 0, -40, -1, 24, 12, -12, 8, 0, 0, 6, -60, 0, 16, 0, 0, -26, 120, -4, 7, 0, -46, 14, -1, -12, -12, -8, 42, 20, 0, -48, 0, -6, 28, -1, -14, 0, -8, 12, -20, 0, -12, 0, 0, -54, -14, 71, 16, -18, -34, 0, -80, -18, 0, -24, 20, -36, 0, -1, 42, -144, 0, 52, 16, 0, -6, -48, 6, 18, 16, 4, 7, -26, -2, 32, 0, 80, 10, 0, 8, -34, -8, -50, 11, 22, 0, 0, 18, -4, -52, 32, -24, 0, 6, 34, -36, 16, 0, 16, 0, 20, -42, 40, 12, -140, 4, 0, 24, 0, -16, -16, 0, -36, 0, 84, 5, -6, -6, -6, 0, 42, 26, 48, -3, -13, 42, -24, 0, 30, 16, 0, -20, -14, -10, 0, -46, 4, 20, -36, -18, 42, 0, -14, 0, -18, -32, -24, 42, 0, -18, 80, 6, 0, -8, 22, 0, 26, 32, -2, -8, 26, 36, 0, 0, -48, 10, -2, -22, -41, -7, 8, -12, 28, -6, 0, 2, 0, -16, 12, -80, 90, 24, -68, 0, -36, 0, -32, 30, -6, -12, 0, 80, -28, 14, 48, 20, 0, 0, 8, 0, -74, 16, 0, 12, 0, 18, 4, 0, -4, 32, -48, 0, -46, -2, -8, 38, -42, -6, 0, 42, -10, -32, -12, -1, 60, 0, 12, -1, -6, 0, -52, -18, 0, 16, -48, 18, 90, 96, -14, 0, 0, -16, -56, 10, 44, -30, 0, 12, 6, 0, -18, 0, 34, 0, -52, -4, 24, -4, 4, -4, 0, 63, 0, -6, 78, -22, -20, 0, 2, -54, 24, -22, 30, 0, 0, 84, -14, -2, -40, 6, -24, 0, 14, -24, 0, -18, 20, -36, 0, -26, 8, -6, -8, 26, -40, 0, 0, -24, -10, 108, -50, 8, 0, -12, 16, 8, 88, 50, -30, 0, -6, 12, 30, 1, 48, 6, -28, 0, -12, -18, -18, -40, 20, 0, 34, -16, -20, -6, 0, 16, 0, -3, -17, 18, 26, 40, -140, 0, 8, 0, -14, -66, 80, 0, 0, 32, -10, 42, -6, 14, 0, 0, -48, -4, 72, 12, -102, 6, 0, -38, 86, 0, 40, -24, -32, -70, 60, 16, -38, -8, -6, -70, 0, 4, -60, -8, -14, -48, 12, 0, -38, 54, 30, 0, 102, -6, 0, -4, 12, 18, 0, -12, -64, 0, 0, 24, -2, 8, 8, 0, 0, -32, -60, -7, 48, 0, 1, 0, 38, -10, -56, 9, 8, 13, 84, 14, 0, -24, 6, -14, 38, 0, 0, -10, -8, -36, -60, 33, 0, -66, -8, 32, 34, 14, -48, 0, 32, 0, 0, -1, 22, 20, 0, -18, -128, 16, 160, 24, 1, 0, -28, 2, -180, -26, -58, -46, 0, 20, -8, 24, 0, -6, -24, -7, -12, 24, 6, 24, 4, -20, 0, 0, -4, -12, -12, -18, 18, 0, -22, 12, -42, -20, 0, -10, 0, 30, 56, -4, -6, -4, -96, 0, -70, 0, -4, 12, 32, 4, 0, -5, 22, -54, 4, 18, 0, 0, 56, -18, 16, -6, 160, 16, 14, 8, 38, 0, -36, 4, 12, 0, -10, -52, 104, 3], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6045.2.a.i", "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], [-1], [1], [0], [-3], [1], [-1], [0], [-1], [1], [0], [-1], [-1], [-2], [1], [4], [1], [0], [0], [-8], [-3], [1], [1], [1], [0], [10], [-1], [-1], [5], [0], [-2], [0], [-1], [-10], [4], [1], [3], [6], [0], [12], [0], [-1], [-8], [0], [-1], [-7], [1], [-2], [-1], [-6], [1], [0], [0], [4], [10], [-12], [1], [-2], [-1], [0], [7], [-1], [0], [4], [2], [-8], [0], [-8], [-3], [-6], [-10], [1], [-4], [0], [1], [-16], [1], [1], [6], [-16], [0], [2], [12], [10], [0], [-14], [-1], [0], [8], [-1], [0], [-4], [5], [-14], [-7], [0], [-1]]}