# Stored data for newform 6045.2.a.g, downloaded from the LMFDB on 18 April 2024. {"label": "6045.2.a.g", "space_label": "6045.2.a", "level": 6045, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797783453, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 376769935903864081, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [7, [1, 1]], [11, [-6, 1]]], "qexp_display": "q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+6q^{11}+\\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": "0.015", "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": "1.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.098", "prec": 17}], "related_objects": ["EllipticCurve/Q/6045/g"], "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": [0, 1, -1, -1], "traces": [0, 1, 0, 1, -2, -1, 0, -1, 0, 1, 0, 6, -2, 1, 0, -1, 4, 6, 0, 2, 2, -1, 0, -6, 0, 1, 0, 1, 2, 9, 0, 1, 0, 6, 0, 1, -2, 2, 0, 1, 0, -9, 0, -1, -12, -1, 0, -6, 4, -6, 0, 6, -2, -12, 0, -6, 0, 2, 0, 3, 2, 8, 0, -1, -8, -1, 0, 5, -12, -6, 0, 0, 0, -16, 0, 1, -4, -6, 0, 8, -4, 1, 0, 9, 2, -6, 0, 9, 0, 6, 0, -1, 12, 1, 0, -2, 0, 17, 0, 6, -2, 0, 0, -4, 0, 1, 0, -9, -2, 20, 0, 2, -4, 15, 0, 6, -18, 1, 0, -6, 0, 25, 0, -9, -2, -1, 0, -7, 0, -1, 0, 0, -12, -2, 0, -1, 0, -6, 0, 14, -2, -6, 0, 6, 4, -9, 0, -6, -4, 3, 0, 17, 0, 6, 0, -1, -2, 14, 0, -12, 0, 6, 0, -16, 18, -6, 0, 24, 0, 1, 0, 2, 2, -15, 0, -1, 24, 3, 0, 9, 2, -16, 0, 8, 0, -2, 0, 36, 12, -1, 0, -6, -8, -13, 0, -1, 12, 3, 0, -16, 0, 5, 0, -9, -12, 9, 0, -6, 4, 12, 0, 5, 24, 0, 0, 1, 0, -1, 0, -16, 12, 6, 0, 8, 0, 1, 0, -6, -4, -22, 0, -6, 0, 9, 0, 6, -6, 8, 0, 12, -4, 17, 0, 1, -16, 6, 0, 2, 0, 9, 0, 15, 2, -36, 0, -6, 16, 18, 0, -2, 2, 9, 0, 18, 0, 12, 0, 6, -10, 18, 0, 11, 24, -1, 0, 6, 12, -19, 0, 1, 0, -15, 0, -4, 0, -2, 0, 9, 0, 19, 0, 17, 32, -6, 0, -3, 0, 6, 0, -6, -2, 1, 0, 0, 8, -8, 0, 20, 12, -4, 0, -12, 0, -1, 0, 1, -16, 6, 0, 54, 8, -9, 0, 12, -2, 1, 0, 20, 0, 6, 0, -19, -18, 2, 0, -5, -4, 14, 0, 15, 12, 6, 0, 13, 0, 6, 0, -6, -18, -10, 0, 1, 0, -33, 0, 0, -12, -6, 0, -3, 0, -15, 0, 25, 2, 16, 0, 8, -24, -9, 0, 12, -2, -22, 0, -1, 0, 9, 0, -16, 4, -7, 0, -3, 0, 6, 0, -1, -34, -21, 0, -36, 0, 0, 0, -8, -12, 2, 0, -2, 4, 30, 0, 1, 0, -1, 0, 12, 0, 5, 0, -6, 8, -3, 0, -9, 0, 14, 0, -6, -2, -28, 0, -6, 0, 6, 0, -8, 18, 6, 0, -27, 4, 11, 0, -9, -40, -12, 0, -19, 0, -6, 0, 9, -4, -6, 0, 3, 8, 12, 0, -54, -30, 17, 0, 1, 0, -10, 0, 6, -12, -12, 0, 32, 36, -1, 0, 27, -2, -5, 0, 14, 0, -6, 0, 2, 12, -12, 0, 39, 0, 2, 0, 6, -50, -17, 0, 2, 0, -16, 0, 9, 18, 54, 0, -6, 4, 0, 0, 5, 2, 24, 0, 33, 0, 0, 0, 1, 14, 0, 0, 16, 0, 2, 0, 4, 2, -36, 0, -15, 0, -24, 0, 29, 0, -1, 0, 6, 24, 13, 0, 3, 4, -9, 0, 9, 0, 9, 0, -36, 2, 38, 0, -16, 0, -20, 0, -28, 12, 8, 0, 18, 0, -8, 0, -2, -28, 6, 0, -1, 4, 36, 0, 24, 12, -15, 0, -1, 0, 42, 0, 32, -12, -6, 0, -6, -8, 2, 0, -13, 18, -9, 0, -72, 0, -1, 0, -9, 12, 2, 0, 3, 8, 18, 0, 6, -6, -16, 0, -24, 0, 26, 0, 5, -34, -25, 0, -22, 0, -9, 0, -6, -12, -34, 0, 9, 0, 48, 0, -1, 2, -6, 0, -6, 4, 1, 0, 12, -28, 12, 0, -16, 0, 5, 0, 7, 24, -6, 0, 0, 0, 3, 0, -40, -12, 1, 0, -30, 0, 18, 0, -1, 32, -15, 0, 0, -36, -16, 0, 6, 12, -22, 0, 6, 0, 2, 0, -54, -48, 8, 0, 48, 0, 35, 0, 1, -2, 18, 0, -17, 0, -6, 0, -6, -4, 6, 0, -22, -4, -12, 0, -10, 30, -6, 0, -14, 0, -54, 0, 9, 2, -6, 0, 4, -48, 6, 0, 0, -6, 26, 0, 8, 0, -6, 0, -6, -18, 12, 0, -21, -4, 4, 0, 17, 32, 9, 0, 26, 0, 1, 0, -6, -16, -13, 0, 6, 0, 30, 0, 20, 4, 2, 0, 39, 0, -3, 0, 9, -72, 9, 0, -13, -24, 15, 0, -17, 2, -7, 0, -36, 0, 12, 0, -20, 12, -6, 0, 3, 16, -4, 0, 18, 26, 21, 0, 1, 0, -2, 0, -18, 2, 0, 0, 9, -24, -14, 0, -40, -6, 18, 0, -15, 0, 8, 0, 12, 32, -12, 0, -36, 0, 6, 0, -96, -10, -6, 0, 18, 0, -27, 0, 38, 18, 11, 0, 16, 24, -2, 0, -1, -18, 54, 0, -31, 0, 6, 0, -3, 12, -52, 0, -19, -8, -36, 0, -24, -24, 1, 0, -39, 0, 52, 0, -15, -10, -1, 0, -25, -48, -4, 0, -12, 0, -19, 0, -2, 0, 18, 0, -4, -2, 9, 0, 33, 0, 15, 0, 19, 2, 48, 0, 5, 0, 17, 0, 1, 32, 50, 0, -6, -24, 39, 0, 11, -12, -3, 0, -21, 0, 7, 0, 6, -16, -12, 0, -9, 0, -6, 0, 9, -2, -72, 0, 1, 0, 16, 0, 8, 12, 0, 0, -57, 8, 54, 0, -8, 44, 0, 0, 11, 0, 20, 0, 0, 12, 2, 0, -4, 0, 6, 0, -12, -18, -12, 0, -36, 0, 38, 0, -1, -12, 48, 0, 54, 12, 1, 0, 12, -16, -16, 0, 6, 0, 30, 0, 6, -24, 54, 0, 6, 8, 1, 0, -9, -34, 13, 0, -40, 0, 12, 0, -18, -2, -14, 0, 1, 32, 12, 0, 36, -12, 20, 0, 45, 0, -3, 0, 6, -4, 6, 0, -52, 0, -19, 0, 16, -18, -10, 0, 2, 0, -6, 0, 18, -30, -5, 0, -24, -4, 47, 0, 14, 72, -42, 0, 9, 0, 15, 0, 48, 12, 41, 0, 6, -32, -9, 0, 8, -36, 13, 0, 18, 0, -10, 0, 6, 4, 48, 0, -31, -4, -6, 0, -3, -18, -12, 0, -10, 0, 15, 0, -28, -36, 1, 0, -5, 0, -17, 0, -33, -24, -51, 0, 56, 0, 0, 0, 102, -12, 8, 0, -6, 20, 18, 0, -1, -36, -3, 0, 9, 0, 36, 0, -15, -22, 1, 0, 35, -48, 25, 0, 51, 2, -58, 0, 16, 0, -6, 0, -14, -12, 8, 0, 18, -24, -6, 0, -9, 38, 63, 0, 0, 0, 12, 0, -8, -2, -52, 0, -22, 0, 6, 0, 53, 30, -1, 0, 36, 0, -22, 0, 9, 8, -24, 0, 6, 0, -16, 0, 30, 4, 16, 0, -7, 0, 22, 0, 2, -18, -3, 0, 3, 0, -25, 0, 6, -38, 6, 0, 16, 0, -1, 0, -48, -34, -9, 0, -21, -64, -24, 0, -34, 12, -36, 0, -6, 0, -54, 0, 0, 6, 30, 0, -1, 0, -8, 0, -45, -12, -81, 0, 2, 0, -60, 0, -12, 12, -2, 0, 120, 4, 14, 0, 30, -2, -17, 0, 0, 0, 1, 0, 15, 0, -28, 0, -1, -16, 48, 0, 72, 16, 12, 0, 12, 0, -6, 0, 5, -40, -21, 0, 26, -24, -6, 0, -2, 8, -58, 0, -3, 0, -96, 0, 90, 24, -9, 0, -9, 0, -46, 0, 14, 2, -9, 0, -15, 0, -6, 0, 0, -2, 17, 0, -28, 32, 36, 0, 16, -12, -6, 0, -9, 0, 10, 0, 6, -108, 18, 0, -16, -16, -8, 0, 12, 18, -18, 0, 6, 0, 6, 0, -4, -24, -27, 0, 2, 4, 11, 0, 11, -2, 51, 0, -10, 0, -9, 0, -6, -40, -36, 0, -12, 0, 0, 0, -18, -12, -19, 0, -42, 0, 26, 0, -6, 38, -12, 0, -58, 36, 9, 0, 84, -4, -1, 0, -6, 0, 6, 0, -4, 10, 3, 0, 48, 8, -18, 0, 12, -28, 0, 0, 13, 0, -54, 0, -11, -30, -18, 0, 17, -24, 0, 0, -54, -12, 1, 0, 45, 0, -33, 0, -10, -26, 48, 0, -6, 0, 6, 0, -3, -12, 50, 0, -12, 0, 19, 0, -32, 12, 32, 0, -9, 36, 16, 0, -1, 20, -42, 0, -4, 0, 27, 0, -48, -2, 15, 0, -5, 0, -45, 0, 54, 66, 14, 0, 4, 0, 20, 0, -6, 0, -54, 0, -52, 24, 2, 0, -60, 12, -28, 0, -12, 0, -42, 0, -9, 6, 39, 0, 9, 0, 0, 0, 2, 30, -19, 0, -37, 0, 6, 0, -3, -50, -58, 0, -17, -4, -6, 0, 65, -32, 2, 0, -12, 0, 6, 0, -16, -16, 15, 0, 32, 48, 9, 0, 3, 18, -5, 0, 54, 0, 9, 0, 35, -24, -6, 0, -24, 4, -58, 0, 0, 44, -24, 0, 6, 0, 5, 0, -21, 2, 16, 0, 24, 0, -1, 0, -36, -18, 33, 0, 15, 0, 36, 0, 0, 32, -18, 0, -6, -8, 1, 0, -54, 14, 8, 0, 0, 0, 84, 0, -16, 6, 16, 0, -20, 0, -108, 0, 2, -12, -30, 0, 5, 0, 4, 0, -6, 2, 11, 0, -36, 68, -33, 0, 12, 42, -15, 0, -54, 0, -8, 0, -24, 72, 1, 0, -52, 0, 29, 0, 0, 0, 25, 0, -1, 0, 18, 0, 59, 16, 6, 0, 24, 24, -6, 0, 13, -4, 6, 0, -2, 0, 3, 0, -54, 4, -22, 0, -9, -8, 30, 0, 22, -60, 9, 0, 21, 0, -73, 0, 9, -2, -69, 0, -12, 0, -36, 0, -12, 2, 11, 0, 38, 0, -1, 0, 62, -24, -16, 0, -9, 0, 0, 0, -20, -10, -42, 0, 18, 0, -28, 0, -12, 12, -6, 0, 8, -16, 102, 0, -7, 6, 18, 0, 19, 0, -7, 0, -8, 18, 102, 0, -46, 0, -2, 0, 48, -28, -49, 0, 6, 0, -12, 0, 5, 12, -1, 0, 96, 4, 40, 0, 36, 56, -14, 0, -17, 0, 24, 0, 12, 12, 56, 0, -15, 0, 18, 0, -28, -12, -1, 0, 0, 0, -6, 0, 42, 16, 3, 0, 27, -36, 32, 0, -13, -12, 0, 0, -6, 0, 39, 0, -4, 54, -6, 0, 84, -8, -2, 0, 2, -22, -51, 0, 6, 0, -13, 0, -12, 18, 14, 0, -9, 80, 10, 0, 20, 24, -72, 0, -24, 0, -28, 0, -1, 38, -15, 0, -40, 0, -9, 0, 9, 12, 33, 0, 2, 0, 72, 0, 36, -18, 3, 0, 0, 8, -58, 0, 18, 12, -6, 0, -43, 0, 6, 0, -66, -6, -46, 0, -16, -16, -96, 0, 3, -24, -24, 0, -18, 0, 29, 0, 26, 108, 15, 0, 14, 60, 5, 0, 57, -34, -12, 0, -25, 0, -48, 0, -54, -2, -22, 0, -48, 0, -16, 0, -9, 20, 3, 0, -58, 0, -6, 0, -8, -12, 144, 0, -34, 24, -18, 0, 34, 24, 9, 0, -72, 0, -42, 0, 48, -64, 120, 0, -12, -72, -1, 0, 6, 2, 8, 0, -6, 0, 22, 0, -13, -54, -6, 0, -75, 4, -34, 0, 1, 10, -9, 0, -10, 0, 12, 0, -18, -28, -9, 0, 12, 0, 39, 0, 8, 12, -16, 0, 16, 0, -11, 0, 5, -4, -48, 0, -90, -24, 7, 0, 12, 24, -54, 0, -6, 0, -54, 0, 3, -78, 0, 0, 0, 0, 90, 0, 3, -4, -6, 0, 54, 0, -40, 0, 51, -12, -55, 0, 1, 100, 3, 0, 19, 34, -30, 0, 45, 0, 21, 0, 18, -4, 42, 0, 8, 0, -1, 0, 36, 32, -8, 0, -15, 0, -24, 0, 17, -18, 0, 0, 15, -36, 54, 0, -16, -108, -39, 0, 8, 0, 6, 0, -60, 12, 4, 0, -22, -8, -2, 0, -10, 0, 6, 0, -96, 0, -58, 0, 2, -10, -3, 0, -70, -4, -54, 0, -36, -48, -30, 0, 8, 0, 54, 0, -4, -66, 48, 0, -1, 0, -25, 0, 35, 0, 6, 0, -19, 0, 1, 0, -66, -2, -85, 0, 18, -28, -18, 0, -12, 0, -17, 0, 60, 0, 14, 0, -6, -32, -5, 0, -36, 0, -6, 0, 6, -4, 20, 0, 6, 0, 150, 0, 0, -8, -22, 0, 18, -4, 3, 0, -12, 72, -30, 0, 40, 0, -10, 0, 9, 30, 5, 0, -6, 0, -6, 0, -4, 48, -14, 0, -18, 0, 20, 0, -54, -58, 6, 0, 6, 0, 9, 0, 30, 2, -36, 0, -6, 0, 28, 0, 6, -12, 4, 0, 0, -48, -46, 0, 6, -26, -144, 0, -16, 0, 0, 0, -78, -6, -6, 0, 26, -8, 54, 0, 80, 18, 8, 0, 8, 0, -22, 0, -6, -18, 84, 0, 47, 0, -6, 0, 30, -18, -20, 0, 12, 0, 60, 0, 27, 72, -21, 0, -42, -4, -52, 0, 4, -76, -11, 0, 18, 0, 17, 0, 24, 32, 108, 0, 9, 0, 12, 0, 2, 40, 26, 0, 6, 0, 12, 0, 1, 56, -96, 0, 1, -24, -6, 0, 19, -16, 1, 0, -13, 0, 0, 0, 71, -36, 6, 0, -60, 0, -11, 0, 30, 16, 18, 0, -9, 0, 20, 0, -6, 4, -28, 0, 2, 56, 6, 0, 0, -12, 39, 0, -102, 0, -54, 0, -3, 2, 75, 0, 8, -8, 9, 0, 39, -72, -12, 0, 9, 0, -15, 0, -16, -48, -13, 0, 54, -24, 16, 0, 15, 30, -12, 0, -16, 0, -17, 0, 36, 2, -43, 0, -7, 0, -36, 0, -1, -84, -36, 0, 12, 0, -94, 0, 12, -64, 10, 0, 29, 24, -20, 0, 72, 12, 44, 0, -6, 0, -72, 0, 50, 12, 3, 0, 36, 16, 12, 0, -4, -4, 6, 0, 44, 0, 18, 0, -32, 26, 19, 0, 21, -36, 30, 0, 0, 18, 1, 0, 9, 0, -36, 0, -2, 144, -66, 0, -27, 0, -18, 0, -42, 2, -34, 0, 0, 0, 5, 0, -28, 18, 9, 0, 6, -24, -16, 0, -14, -4, -87, 0, -14, 0, -40, 0, 84, -6, 6, 0, 18, -16, 24, 0, 59, -36, -15, 0, -2, 0, 38, 0, 8, -12, -21, 0, 44, 12, 12, 0, -6, 32, -22, 0, -12, 0, -60, 0, -39, 48, -36, 0, 12, 0, 29, 0, 6, -52, -2, 0, 81, 0, -96, 0, 6, -10, -14, 0, -6, 68, 60, 0, -27, 50, 18, 0, 54, 0, 17, 0, -27, 44, 6, 0, 36, 0, 38, 0, -2, 18, 17, 0, 11, 0, -54, 0, 10, 12, 16, 0, -12, 24, 8, 0, -2, 68, 48, 0, -9, 0, -1, 0, 69, -18, 54, 0, 54, 0, -54, 0, -34, -96, -31, 0, 33, 0, -37, 0, 6, 2, -18, 0, 10, -4, -3, 0, -6, 12, 0, 0, -52, 0, 0, 0, 72, 12, -19, 0, -5, -8, -36, 0, -36, -2, -72, 0, 38, 0, -24, 0, -120, -24, -13, 0, 1, 56, 3, 0, -33, -24, -39, 0, -132, 0, -7, 0, 52, 32, 0, 0, 15, 0, -15, 0, 30, -10, 18, 0, -1, 0, -3, 0, 20, -14, -25, 0, -84, -48, 0, 0, -4, 12, 24, 0, -13, 0, -12, 0, -16, 0, -61, 0, -19, 0, 3, 0, 54, -6, -2, 0, 102, 0, -8, 0, 18, 80, 9, 0, -4, 24, -4, 0, 18, -2, 54, 0, 9, 0, 36, 0, -16, 60, 33, 0, -90, 0, -25, 0, 15, -36, 72, 0, -90, 0, 19, 0, -12, 2, 24, 0, 48, -64, 72, 0, 22, 30, 5, 0, -29, 0, 35, 0, 17, 0, -48, 0, -8, 72, 1, 0, 0, 32, 72, 0, 50, 0, -27, 0, -6, -12, -6, 0, -9, -24, 28, 0, 39, 44, -13, 0, 56, 0, 11, 0, 102, -12, 16, 0, -3, 0, -63, 0, 41, -4, -21, 0, 54, 0, 9, 0, 7, 108, 84, 0, -100, 96, 6, 0, -9, -16, 5, 0, -12, 0, 3, 0, 2, -96, -9, 0, 6, 0, -37, 0, -6, -70, 9, 0, 36, 0, 9, 0, -45, -2, -32, 0, -72, 4, -38, 0, -46, -36, 1, 0, 72, 0, 14, 0, 16, 34, 12, 0, 83, 0, 8, 0, 21, 12, 20, 0, 0, 0, -42, 0, 50, 12, -57, 0, 28, 8, 36, 0, 54, -12, -90, 0, 5, 0, -8, 0, -45, 44, -85, 0, 0, 8, 45, 0, -18, 24, 11, 0, 6, 0, 90, 0, 20, 20, 8, 0, 104, -60, 0, 0, -96, 12, -18, 0, 2, 0, 30, 0, -2, 28, -4, 0, -150, 0, -6, 0, 6, 108, 66, 0, 20, 0, -12, 0, 1, -18, 35, 0, -12, -4, -6, 0, 14, 12, -36, 0, -30, 0, 91, 0, 38, -8, 153, 0, -24, 96, -1, 0, 36, -12, -1, 0, 48, 0, 15, 0, 108, 0, 54, 0, 6, 12, 26, 0, 1, -52, 18, 0, 144, 0, 12, 0, -54, -16, -42, 0, -16, 0, -12, 0, 98, 12, 6, 0, -32, 0, 14, 0, 30, 12, -30, 0, -5, 36, 6, 0, -48, -24, 34, 0, 54, 0, 6, 0, 6, 42, 6, 0, 30, 8, -5, 0, 1, -8, -2, 0, -28, 0, -9, 0, -18, -34, 108, 0, 13, -64, 18, 0, 8, -18, -40, 0, -39, 0, 9, 0, 12, -52, -30, 0, 0, 0, -18, 0, 72, -2, -70, 0, -14, 0, 42, 0, 16, 12, 1, 0, 24, 32, 0, 0, 12, 26, 6, 0, 9, 0, 36, 0, -36, -12, -90, 0, 20, 0, -2, 0, 28, -60, 45, 0, -6, 0, -61, 0, -3, -40, -15, 0, 108, -8, 6, 0, -9, -4, -18, 0, 6, 0, 102, 0, -52, -78, -52, 0, -6, 0, -22, 0, -19, 6, 66, 0, 28, 0, 16, 0, -36, -18, -48, 0, -10, 144, 144, 0, 24, -18, 2, 0, -75, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6045.2.a.g", "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], [0], [1], [-2], [-1], [0], [-1], [0], [1], [0], [6], [-2], [1], [0], [-1], [4], [6], [0], [2], [2], [-1], [0], [-6], [0], [1], [0], [1], [2], [9], [0], [1], [0], [6], [0], [1], [-2], [2], [0], [1], [0], [-9], [0], [-1], [-12], [-1], [0], [-6], [4], [-6], [0], [6], [-2], [-12], [0], [-6], [0], [2], [0], [3], [2], [8], [0], [-1], [-8], [-1], [0], [5], [-12], [-6], [0], [0], [0], [-16], [0], [1], [-4], [-6], [0], [8], [-4], [1], [0], [9], [2], [-6], [0], [9], [0], [6], [0], [-1], [12], [1], [0], [-2], [0], [17], [0], [6], [-2]]}