# Stored data for newform 2842.2.a.g, downloaded from the LMFDB on 25 April 2024.
{"label": "2842.2.a.g", "space_label": "2842.2.a", "level": 2842, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797780250, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1732893899831368842, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]], [5, [-8, 0, 1]]], "qexp_display": "q-q^{2}+q^{4}-\\beta q^{5}-q^{8}-3q^{9}+\\beta q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11368, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 22.693484254447885, "hecke_ring_index": 2, "level_radical": 406, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.516", "prec": 17}, "analytic_rank_proved": true, "char_values": [2842, 1, [1277, 785], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 2, "level_primes": [2, 7, 29], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.087", "prec": 17}, {"__RealLiteral__": 0, "data": "1.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.850", "prec": 17}, {"__RealLiteral__": 0, "data": "15.710", "prec": 20}, {"__RealLiteral__": 0, "data": "9.390", "prec": 17}, {"__RealLiteral__": 0, "data": "154.179", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, -1], [29, 1]], "trace_display": [-2, 0, 0, 0], "traces": [0, 2, -2, 0, 2, 0, 0, 0, -2, -6, 0, 8, 0, 0, 0, 0, 2, 0, 6, 0, 0, 0, -8, 0, 0, 6, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, -6, 4, 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, -6, 0, 0, 12, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 16, 0, 8, 0, 0, 0, -16, 6, 0, -4, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 16, 8, 0, -8, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -24, 6, 0, 0, 0, 0, 0, -12, 24, 0, 4, 0, 0, 0, 4, 0, 0, -2, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -16, -2, 0, -16, 0, 0, 0, -8, 0, 0, 44, 0, 0, 0, 0, 16, 0, -6, 0, 0, 0, 4, -20, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -18, 24, 0, 0, 0, 0, 0, -10, -16, 0, -8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -28, 0, 0, 0, 44, 24, 0, -6, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 24, 12, 0, -24, 0, 0, 0, -4, 0, 0, 16, 0, 0, 0, -18, -4, 0, 0, 0, 0, 0, 2, 44, 0, -16, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 16, 0, 2, 0, 0, 0, 16, 6, 0, 48, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -44, 24, 0, -52, 0, 0, 0, 60, 0, 0, -16, 0, 0, 0, 6, -18, 0, 0, 0, 0, 0, 80, -4, 0, 20, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 32, 18, 0, -24, 0, 0, 0, 0, 24, 0, -12, 0, 0, 0, 28, 10, 0, 16, 0, 0, 0, 8, 0, 0, 40, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, -32, 0, 26, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -8, 32, 0, 0, 0, 0, 0, 28, 24, 0, -28, 0, 0, 0, 0, -44, 0, -24, 0, 0, 0, 6, -68, 0, -16, 0, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -4, -24, 0, -12, 0, 0, 0, 24, 0, 0, 64, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -16, 56, 0, -16, 0, 0, 0, -28, 18, 0, 4, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, -2, 0, -44, 0, 0, 0, 16, 0, 0, -32, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 10, -48, 0, 16, 0, 0, 0, 72, 0, 0, -32, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -64, 0, 0, -16, 0, 0, 0, -2, 0, 0, 32, 0, 0, 0, 0, -16, 0, -6, 0, 0, 0, -48, -16, 0, -46, 0, 0, 0, -16, 0, 0, -8, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -8, 44, 0, -24, 0, 0, 0, 52, 0, 0, -4, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 16, 12, 0, -56, 0, 0, 0, 0, -6, 0, 18, 0, 0, 0, 0, 48, 0, -48, 0, 0, 0, -32, -80, 0, 4, 0, 0, 0, -20, 0, 0, -48, 0, 0, 0, -24, 32, 0, 0, 0, 0, 0, 0, -16, 0, -76, 0, 0, 0, 44, 0, 0, -16, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, -32, 0, 0, 4, 0, 0, 0, 8, 48, 0, -4, 0, 0, 0, 0, -32, 0, -18, 0, 0, 0, 24, -28, 0, 32, 0, 0, 0, -72, 0, 0, -24, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 44, -28, 0, -10, 0, 0, 0, -16, 0, 0, -72, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -40, -16, 0, -16, 0, 0, 0, 36, 0, 0, 8, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 64, 8, 0, 32, 0, 0, 0, -26, 0, 0, -6, 0, 0, 0, -54, -48, 0, 0, 0, 0, 0, 0, 32, 0, 40, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 8, 0, -32, 0, 0, 0, 0, -48, 0, 80, 0, 0, 0, 0, -28, 0, -24, 0, 0, 0, 28, -32, 0, -64, 0, 0, 0, 32, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, -16, -6, 0, 68, 0, 0, 0, 16, 0, 0, 84, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -16, -84, 0, -48, 0, 0, 0, -8, 0, 0, 80, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 2, 4, 0, 24, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, -96, -24, 0, 0, 0, 0, 0, -64, -32, 0, -112, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 40, 16, 0, -56, 0, 0, 0, 16, 72, 0, -32, 0, 0, 0, 0, 28, 0, -18, 0, 0, 0, -4, -112, 0, -8, 0, 0, 0, -80, 0, 0, 28, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 12, 0, 0, 2, 0, 0, 0, 44, 0, 0, 64, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 32, -24, 0, 48, 0, 0, 0, -28, 36, 0, 0, 0, 0, 0, 0, -46, 0, -72, 0, 0, 0, -32, -10, 0, 48, 0, 0, 0, -16, 0, 0, 12, 0, 0, 0, -12, -72, 0, 0, 0, 0, 0, 32, 0, 0, -80, 0, 0, 0, -96, 0, 0, 56, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -44, 64, 0, 0, 0, 0, 0, 16, -12, 0, -72, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -32, -96, 0, -52, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 6, 128, 0, 0, 0, 0, 0, 24, 48, 0, 16, 0, 0, 0, 46, 0, 0, -60, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 8, -4, 0, -24, 0, 0, 0, -80, 0, 0, 68, 0, 0, 0, 0, 16, 0, -30, 0, 0, 0, 20, 8, 0, -44, 0, 0, 0, 24, 0, 0, 96, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 4, 96, 0, 76, 0, 0, 0, 160, 0, 0, 60, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -112, -16, 0, -12, 0, 0, 0, 56, 48, 0, 96, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -18, -16, 0, 0, 0, 0, 0, 40, 0, 0, -48, 0, 0, 0, 48, 88, 0, 0, 0, 0, 0, 96, 32, 0, 80, 0, 0, 0, -4, 0, 0, 104, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 48, 16, 0, -36, 0, 0, 0, 128, 24, 0, -32, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 76, 0, 0, 92, 0, 0, 0, -132, -44, 0, 0, 0, 0, 0, 16, 48, 0, 16, 0, 0, 0, 8, 0, 0, 62, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -48, 32, 0, 0, 0, 0, 0, -4, 0, 0, 16, 0, 0, 0, 0, -8, 0, -48, 0, 0, 0, 4, -104, 0, -160, 0, 0, 0, -60, 0, 0, 32, 0, 0, 0, 18, 92, 0, 0, 0, 0, 0, 96, -24, 0, 28, 0, 0, 0, -32, 0, 0, -64, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 24, 36, 0, 64, 0, 0, 0, -48, -12, 0, 0, 0, 0, 0, 0, 32, 0, 60, 0, 0, 0, 64, -44, 0, 28, 0, 0, 0, 10, 0, 0, 80, 0, 0, 0, -96, 16, 0, 0, 0, 0, 0, 72, 64, 0, -66, 0, 0, 0, -12, 0, 0, 8, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 96, 40, 0, 16, 0, 0, 0, 16, 48, 0, -64, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -8, 36, 0, -80, 0, 0, 0, -48, 0, 0, 44, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -108, -64, 0, -8, 0, 0, 0, -32, 0, 0, 112, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 6, 104, 0, -28, 0, 0, 0, 16, 54, 0, 48, 0, 0, 0, 0, -32, 0, -72, 0, 0, 0, -96, 0, 0, -32, 0, 0, 0, -40, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 60, 0, 0, 0, 0, 0, -72, 0, 0, -48, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, -16, -36, 0, -8, 0, 0, 0, 32, 30, 0, 24, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -80, -64, 0, -12, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 24, 140, 0, 0, 0, 0, 0, -112, -28, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -44, -160, 0, 136, 0, 0, 0, -32, -24, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 140, 16, 0, 6, 0, 0, 0, -68, 0, 0, 80, 0, 0, 0, -24, -16, 0, 0, 0, 0, 0, -84, 136, 0, 20, 0, 0, 0, -32, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 16, 0, 84, 0, 0, 0, 48, 0, 0, -48, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -80, 128, 0, -144, 0, 0, 0, 24, 0, 0, -64, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -66, -2, 0, -4, 0, 0, 0, -24, 0, 0, -32, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, -116, 96, 0, 24, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 136, 64, 0, 32, 0, 0, 0, 112, 0, 0, -12, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 4, -208, 0, 120, 0, 0, 0, 32, 0, 0, 28, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -128, -40, 0, -16, 0, 0, 0, 56, -132, 0, -48, 0, 0, 0, 0, -16, 0, -72, 0, 0, 0, 32, 136, 0, 124, 0, 0, 0, 96, 0, 0, -28, 0, 0, 0, 18, 148, 0, 0, 0, 0, 0, -16, 4, 0, 112, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -28, -80, 0, -112, 0, 0, 0, 144, 0, 0, -16, 0, 0, 0, 0, -96, 0, 48, 0, 0, 0, -54, -12, 0, 0, 0, 0, 0, -2, 0, 0, -40, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -64, -16, 0, -156, 0, 0, 0, -84, 0, 0, 16, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, -32, 0, 24, 0, 0, 0, -48, -72, 0, -36, 0, 0, 0, 0, 28, 0, -36, 0, 0, 0, 0, 44, 0, 192, 0, 0, 0, -128, 0, 0, 46, 0, 0, 0, 72, 16, 0, 0, 0, 0, 0, 172, 32, 0, 10, 0, 0, 0, -48, 0, 0, -8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 64, 0, 0, 0, 24, 12, 0, 72, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 80, 0, 0, 144, 0, 0, 0, -48, 96, 0, 0, 0, 0, 0, -56, -60, 0, 0, 0, 0, 0, 168, 0, 0, -80, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -4, 44, 0, -64, 0, 0, 0, 0, 54, 0, 152, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, 72, -128, 0, 32, 0, 0, 0, -176, 0, 0, -2, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 16, 32, 0, 96, 0, 0, 0, 52, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -4, 0, 24, 0, 0, 0, -32, -6, 0, -128, 0, 0, 0, 0, -144, 0, -132, 0, 0, 0, 0, -24, 0, -48, 0, 0, 0, -16, 0, 0, 48, 0, 0, 0, 48, -46, 0, 0, 0, 0, 0, 60, -112, 0, -32, 0, 0, 0, -68, 0, 0, -16, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -64, -8, 0, 4, 0, 0, 0, 24, 0, 0, 52, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -68, -144, 0, 176, 0, 0, 0, 64, 0, 0, -16, 0, 0, 0, 30, -104, 0, 0, 0, 0, 0, 0, -20, 0, -8, 0, 0, 0, 44, 0, 0, -64, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -96, 48, 0, -78, 0, 0, 0, -12, 0, 0, 52, 0, 0, 0, 0, 44, 0, -96, 0, 0, 0, 32, -4, 0, -96, 0, 0, 0, -76, 0, 0, 4, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, -60, -112, 0, -56, 0, 0, 0, -64, 0, 0, 20, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -92, 112, 0, 16, 0, 0, 0, 12, 0, 0, -48, 0, 0, 0, 0, -56, 0, -48, 0, 0, 0, -96, 0, 0, -164, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -48, 18, 0, 16, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 48, 132, 0, 160, 0, 0, 0, 168, -48, 0, -88, 0, 0, 0, 0, -24, 0, -18, 0, 0, 0, -112, -96, 0, -32, 0, 0, 0, -80, 0, 0, -16, 0, 0, 0, -144, 4, 0, 0, 0, 0, 0, -104, -64, 0, 68, 0, 0, 0, -36, 0, 0, -20, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 48, -48, 0, -16, 0, 0, 0, 36, 0, 0, 32, 0, 0, 0, 0, -128, 0, -24, 0, 0, 0, 32, -156, 0, -80, 0, 0, 0, 128, 0, 0, -100, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, -16, 0, 0, -144, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, -92, -72, 0, 0, 0, 0, 0, -16, 132, 0, 44, 0, 0, 0, 0, 76, 0, -72, 0, 0, 0, 16, -16, 0, -48, 0, 0, 0, -16, 0, 0, 64, 0, 0, 0, 156, -8, 0, 0, 0, 0, 0, -62, 0, 0, 48, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 20, 48, 0, -32, 0, 0, 0, 0, -180, 0, 8, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -16, 64, 0, -80, 0, 0, 0, -20, 0, 0, 8, 0, 0, 0, 48, -132, 0, 0, 0, 0, 0, 176, -4, 0, 104, 0, 0, 0, 160, 0, 0, 80, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -32, -64, 0, -96, 0, 0, 0, -144, -18, 0, -92, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 160, -96, 0, 24, 0, 0, 0, -28, 0, 0, -16, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 64, -32, 0, 0, 0, 0, 0, 180, 0, 0, -72, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 16, -24, 0, -36, 0, 0, 0, -64, -240, 0, 36, 0, 0, 0, 0, 48, 0, 12, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 72, 0, 0, -32, 0, 0, 0, -60, 88, 0, 0, 0, 0, 0, -68, -64, 0, 44, 0, 0, 0, -28, 0, 0, -120, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -80, 160, 0, -52, 0, 0, 0, 128, 96, 0, -16, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 184, -72, 0, -64, 0, 0, 0, 66, 0, 0, 20, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -8, -92, 0, -32, 0, 0, 0, 16, 0, 0, -132, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -80, -96, 0, -40, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, -48, 0, 0, 0, 64, -64, 0, 156, 0, 0, 0, 36, 0, 0, 36, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 160, 8, 0, -36, 0, 0, 0, 80, 0, 0, 12, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -44, 84, 0, 64, 0, 0, 0, 72, 0, 0, 16, 0, 0, 0, 0, -120, 0, 12, 0, 0, 0, 44, 108, 0, 64, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 24, 32, 0, 0, 0, 0, 0, -112, 128, 0, -32, 0, 0, 0, 48, 0, 0, -26, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 96, -6, 0, -104, 0, 0, 0, 28, -96, 0, -188, 0, 0, 0, 0, -16, 0, -54, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, 0, 72, -240, 0, 0, 0, 0, 0, -112, 96, 0, 0, 0, 0, 0, 32, 0, 0, -112, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 12, -168, 0, -128, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 96, 0, -72, 0, 0, 0, 64, 52, 0, -60, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 36, 72, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 7, 2, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "2842.2.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, 0], [1, 0], [-1, 0], [0, 0], [1, 0], [0, -1], [0, 0], [0, 0], [-1, 0], [-3, 0], [0, 1], [4, 0], [0, 0], [0, -1], [0, 0], [0, 0], [1, 0], [0, -1], [3, 0], [0, -2], [0, -1], [0, 0], [-4, 0], [0, 0], [0, 0], [3, 0], [0, 1], [0, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [-1, 0], [0, 0], [0, 1], [0, 0], [-3, 0], [2, 0], [0, 2], [0, 0], [0, 1], [0, 1], [0, 0], [-4, 0], [4, 0], [0, 3], [0, 0], [0, 1], [0, 0], [0, 0], [-3, 0], [0, 0], [0, -1], [6, 0], [0, 0], [0, -4], [0, 0], [0, 0], [1, 0], [0, -5], [0, 0], [0, 0], [0, -1], [0, 0], [1, 0], [8, 0], [0, 0], [4, 0], [0, -1], [0, 0], [0, 0], [-8, 0], [3, 0], [0, -3], [-2, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, -1], [9, 0], [0, -1], [0, 5], [0, 0], [8, 0], [4, 0], [0, 0], [-4, 0], [0, 1], [0, -3], [0, 0], [0, 0], [0, 0], [0, -1], [16, 0], [0, 0], [0, 3], [0, 0], [-12, 0], [3, 0]]}