# Stored data for newform 8046.2.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "8046.2.a.d", "space_label": "8046.2.a", "level": 8046, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915673966, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1226360944850551064, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-12, 0, 1]], [11, [6, -6, 1]]], "qexp_display": "q+q^{2}+q^{4}+2\\beta q^{5}+(1+2\\beta )q^{7}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 32184, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 64.2476334663222, "hecke_ring_index": 1, "level_radical": 894, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 12, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [8046, 1, [299, 3727], [1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 149], "conrey_indexes": [1], "field_disc": 12, "field_disc_factorization": [[2, 2], [3, 1]], "field_poly": [-3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "2.019", "prec": 17}, {"__RealLiteral__": 0, "data": "0.297", "prec": 17}, {"__RealLiteral__": 0, "data": "10.039", "prec": 20}, {"__RealLiteral__": 0, "data": "0.935", "prec": 17}, {"__RealLiteral__": 0, "data": "70.488", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [149, -1]], "trace_display": [2, 0, 0, 2], "traces": [0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 6, 0, 4, 2, 0, 2, -10, 0, -4, 0, 0, 6, -12, 0, 14, 4, 0, 2, 0, 0, 2, 2, 0, -10, 24, 0, 2, -4, 0, 0, 8, 0, 4, 6, 0, -12, -8, 0, 12, 14, 0, 4, -16, 0, 12, 2, 0, 0, 10, 0, 2, 2, 0, 2, -24, 0, -2, -10, 0, 24, 4, 0, -4, 2, 0, -4, 18, 0, -22, 0, 0, 8, 14, 0, 12, 4, 0, 6, 12, 0, -20, -12, 0, -8, 24, 0, 18, 12, 0, 14, 8, 0, 18, 4, 0, -16, -16, 0, 2, 12, 0, 2, 22, 0, -12, 0, 0, 10, 2, 0, 2, 2, 0, 2, 0, 0, 28, 2, 0, -24, 12, 0, 20, -2, 0, -10, -8, 0, -14, 24, 0, 4, 0, 0, -12, -4, 0, 2, 2, 0, 18, -4, 0, 18, 0, 0, 14, -22, 0, 0, -24, 0, 6, 8, 0, 14, 0, 0, 6, 12, 0, 4, -32, 0, 14, 6, 0, 12, -12, 0, -30, -20, 0, -12, -12, 0, -24, -8, 0, 24, -18, 0, 14, 18, 0, 12, -18, 0, 34, 14, 0, 8, -12, 0, 36, 18, 0, 4, 0, 0, -10, -16, 0, -16, -48, 0, 2, 2, 0, 12, -32, 0, -6, 2, 0, 22, 8, 0, 6, -12, 0, 0, 0, 0, 24, 10, 0, 2, -12, 0, 24, 2, 0, 2, 48, 0, -32, 2, 0, 0, 4, 0, -42, 28, 0, 2, -32, 0, -10, -24, 0, 12, -12, 0, -12, 20, 0, -2, 48, 0, 16, -10, 0, -8, 42, 0, 10, -14, 0, 24, -10, 0, 10, 4, 0, 0, 44, 0, 22, -12, 0, -4, 0, 0, 12, 2, 0, 2, -12, 0, -44, 18, 0, -4, -12, 0, -24, 18, 0, 0, 32, 0, -52, 14, 0, -22, -20, 0, -6, 0, 0, -24, 32, 0, 28, 6, 0, 8, 16, 0, 14, 14, 0, 0, 36, 0, 38, 6, 0, 12, 6, 0, 46, 4, 0, -32, -24, 0, 34, 14, 0, 6, 0, 0, -84, 12, 0, -12, 28, 0, -6, -30, 0, -20, -24, 0, 42, -12, 0, -12, -28, 0, 14, -24, 0, -8, 12, 0, 44, 24, 0, -18, -22, 0, 84, 14, 0, 18, 40, 0, 54, 12, 0, -18, 12, 0, -28, 34, 0, 14, -14, 0, 4, 8, 0, -12, 0, 0, 16, 36, 0, 18, 22, 0, 36, 4, 0, 0, -24, 0, 24, -10, 0, -16, -70, 0, -10, -16, 0, -48, 24, 0, 22, 2, 0, 2, 12, 0, 42, 12, 0, -32, -12, 0, 12, -6, 0, 2, 60, 0, 42, 22, 0, 8, 24, 0, -60, 6, 0, -12, -24, 0, -6, 0, 0, 0, 4, 0, 34, 24, 0, 10, -12, 0, -28, 2, 0, -12, -20, 0, 16, 24, 0, 2, -12, 0, 20, 2, 0, 48, 48, 0, -6, -32, 0, 2, -80, 0, -6, 0, 0, 4, -36, 0, 72, -42, 0, 28, -22, 0, -28, 2, 0, -32, -48, 0, -12, -10, 0, -24, 8, 0, 12, 12, 0, -12, -10, 0, 32, -12, 0, 20, -20, 0, -24, -2, 0, 48, 60, 0, 52, 16, 0, -10, 48, 0, -16, -8, 0, 42, -12, 0, -10, 10, 0, -14, -32, 0, 56, 24, 0, -10, -44, 0, -36, 10, 0, 4, 0, 0, -16, 0, 0, 44, -84, 0, -46, 22, 0, -12, 50, 0, -54, -4, 0, 0, -72, 0, -4, 12, 0, 2, -60, 0, -108, 2, 0, -12, 16, 0, 38, -44, 0, 18, 72, 0, 26, -4, 0, -12, -40, 0, -4, -24, 0, 18, 8, 0, -32, 0, 0, 32, 24, 0, -22, -52, 0, 14, -16, 0, 48, -22, 0, -20, 0, 0, -24, -6, 0, 0, -26, 0, -50, -24, 0, 32, -28, 0, 36, 28, 0, 6, 24, 0, -24, 8, 0, 16, -48, 0, -26, 14, 0, 14, -24, 0, 6, 0, 0, 36, 0, 0, 54, 38, 0, 6, 16, 0, 6, 12, 0, 6, 52, 0, -36, 46, 0, 4, -20, 0, -58, -32, 0, -24, 0, 0, -22, 34, 0, 14, -26, 0, -16, 6, 0, 0, 80, 0, 0, -84, 0, 12, -12, 0, -48, -12, 0, 28, -78, 0, -30, -6, 0, -30, 0, 0, -2, -20, 0, -24, -44, 0, 62, 42, 0, -12, 12, 0, -58, -12, 0, -28, -12, 0, 0, 14, 0, -24, -40, 0, 46, -8, 0, 12, -84, 0, 78, 44, 0, 24, 32, 0, 50, -18, 0, -22, 8, 0, -88, 84, 0, 14, 64, 0, 14, 18, 0, 40, 20, 0, -30, 54, 0, 12, 24, 0, 6, -18, 0, 12, -14, 0, 16, -28, 0, 34, -48, 0, 52, 14, 0, -14, -24, 0, -156, 4, 0, 8, 0, 0, 56, -12, 0, 0, -48, 0, -56, 16, 0, 36, -48, 0, 88, 18, 0, 22, -68, 0, -50, 36, 0, 4, -36, 0, 0, 0, 0, -24, -12, 0, -52, 24, 0, -10, -96, 0, 74, -16, 0, -70, -6, 0, -44, -10, 0, -16, -38, 0, 74, -48, 0, 24, -6, 0, -12, 22, 0, 2, -60, 0, -40, 2, 0, 12, 48, 0, 76, 42, 0, 12, -24, 0, 48, -32, 0, -12, 6, 0, 28, 12, 0, -6, 40, 0, -108, 2, 0, 60, 0, 0, 74, 42, 0, 22, 24, 0, 48, 8, 0, 24, 32, 0, 60, -60, 0, 6, -12, 0, 26, -12, 0, -24, 92, 0, 14, -6, 0, 0, -24, 0, 24, 0, 0, 4, -24, 0, 74, 34, 0, 24, -28, 0, -66, 10, 0, -12, -16, 0, 16, -28, 0, 2, -24, 0, 84, -12, 0, -20, -44, 0, -60, 16, 0, 24, -108, 0, -36, 2, 0, -12, 54, 0, -14, 20, 0, 2, -72, 0, 42, 48, 0, 48, -4, 0, -84, -6, 0, -32, 0, 0, -20, 2, 0, -80, 12, 0, 14, -6, 0, 0, -48, 0, -44, 4, 0, -36, 20, 0, 40, 72, 0, -42, -4, 0, -12, 28, 0, -22, 44, 0, -10, -28, 0, 2, 56, 0, -56, -32, 0, -48, 56, 0, -66, -12, 0, -10, -16, 0, 6, -24, 0, 8, 2, 0, 48, 12, 0, 12, 8, 0, 34, -12, 0, -10, -144, 0, -66, 32, 0, -12, 58, 0, -22, 20, 0, -20, 48, 0, 14, -24, 0, -2, 6, 0, 28, 48, 0, 60, -8, 0, 36, 52, 0, 16, 24, 0, 60, -10, 0, 48, 50, 0, -30, -16, 0, -8, 66, 0, 38, 42, 0, -12, 60, 0, 144, -10, 0, 10, 0, 0, 60, -14, 0, -32, -12, 0, 22, 56, 0, 24, -8, 0, 14, -10, 0, -44, -96, 0, 14, -36, 0, 10, 30, 0, -24, 4, 0, 0, 28, 0, -42, -16, 0, 0, -36, 0, 2, 44, 0, -84, -12, 0, 58, -46, 0, 22, 12, 0, -16, -12, 0, 50, 16, 0, -180, -54, 0, -4, 0, 0, -2, 0, 0, -72, -56, 0, -60, -4, 0, 12, -8, 0, -90, 2, 0, -60, 84, 0, -18, -108, 0, 2, -60, 0, -84, -12, 0, 16, 30, 0, -38, 38, 0, -44, 24, 0, -62, 18, 0, 72, -44, 0, -82, 26, 0, -4, -32, 0, 102, -12, 0, -40, -6, 0, 84, -4, 0, -24, -48, 0, 8, 18, 0, 8, 96, 0, -106, -32, 0, 0, 8, 0, 48, 32, 0, 24, 24, 0, -70, -22, 0, -52, -120, 0, -12, 14, 0, -16, 44, 0, 48, 48, 0, -22, -108, 0, -6, -20, 0, 0, 8, 0, 40, -24, 0, -6, -12, 0, -12, 0, 0, -26, 114, 0, 36, -50, 0, -24, 48, 0, 10, 32, 0, -28, 12, 0, -22, 36, 0, 28, 0, 0, -32, 6, 0, 24, -32, 0, -48, -24, 0, 8, -56, 0, -144, 16, 0, -48, 48, 0, -116, -26, 0, 14, -112, 0, -44, 14, 0, -24, -24, 0, 4, 6, 0, 0, 66, 0, 84, 36, 0, 0, 116, 0, 60, 54, 0, 38, -92, 0, -94, 6, 0, 16, -144, 0, -66, 6, 0, 12, 18, 0, -12, 6, 0, 52, 98, 0, -66, -36, 0, 46, 48, 0, 24, 4, 0, -20, -102, 0, -2, -58, 0, -32, 0, 0, -16, -24, 0, 0, -8, 0, 46, -22, 0, 34, 84, 0, -92, 14, 0, -26, -6, 0, 132, -16, 0, 6, 40, 0, -52, 0, 0, 80, 24, 0, -44, 0, 0, -84, -24, 0, -54, 12, 0, -12, 28, 0, -16, -48, 0, -12, -40, 0, 132, 28, 0, -78, 64, 0, 24, -30, 0, -6, -120, 0, -10, -30, 0, 0, -136, 0, -70, -2, 0, -20, -8, 0, 62, -24, 0, -44, 48, 0, 84, 62, 0, 42, 80, 0, 32, -12, 0, 12, 70, 0, -154, -58, 0, -12, 26, 0, -36, -28, 0, -12, -12, 0, -44, 0, 0, 14, 104, 0, 120, -24, 0, -40, -80, 0, 56, 46, 0, -8, 0, 0, -42, 12, 0, -84, -36, 0, -54, 78, 0, 44, -10, 0, 12, 24, 0, 32, 88, 0, 14, 50, 0, -18, -42, 0, -6, -22, 0, 8, 120, 0, 6, -88, 0, 84, -6, 0, 26, 14, 0, 64, 112, 0, -18, 14, 0, 18, -54, 0, -84, 40, 0, 20, 46, 0, -18, -30, 0, 54, -24, 0, 44, 12, 0, 24, 0, 0, -68, 6, 0, -18, 8, 0, 56, 12, 0, -14, 12, 0, -96, 16, 0, -28, -16, 0, 28, 34, 0, -48, -36, 0, 120, 52, 0, 14, -60, 0, -30, -14, 0, -24, -8, 0, 142, -156, 0, 4, -8, 0, -144, 8, 0, 0, 8, 0, 100, 56, 0, -12, -48, 0, 50, 0, 0, -48, -180, 0, 18, -56, 0, 16, 14, 0, 6, 36, 0, -48, -16, 0, -72, 88, 0, 18, -96, 0, 56, 22, 0, -68, 36, 0, -22, -50, 0, 36, 12, 0, 66, 4, 0, -36, -60, 0, 8, 0, 0, 0, -96, 0, -14, -24, 0, -12, 36, 0, 4, -52, 0, 24, 0, 0, 48, -10, 0, -96, -12, 0, -38, 74, 0, -16, 48, 0, -46, -70, 0, -6, 48, 0, 12, -44, 0, -10, 96, 0, -6, -16, 0, -38, 24, 0, -4, 74, 0, -48, 126, 0, -66, 24, 0, -6, 54, 0, 64, -12, 0, 22, -102, 0, 12, 2, 0, -60, -20, 0, 6, -40, 0, 2, 120, 0, 18, 12, 0, 48, -114, 0, 10, 76, 0, 42, -8, 0, 2, 12, 0, -24, -56, 0, -48, 48, 0, -32, 6, 0, -150, -12, 0, 6, 28, 0, 8, 28, 0, 12, 20, 0, 58, -6, 0, 40, 72, 0, -82, -108, 0, 2, -6, 0, 72, 60, 0, 0, 4, 0, -10, 74, 0, 42, -96, 0, -28, 22, 0, 24, 42, 0, -12, 48, 0, 8, 126, 0, 68, 24, 0, 32, -40, 0, -28, 60, 0, -60, 10, 0, 68, 6, 0, -12, 96, 0, 0, 26, 0, -12, -156, 0, -48, -24, 0, 92, 52, 0, 18, 14, 0, -6, 14, 0, -204, 0, 0, -24, -30, 0, -44, 24, 0, 0, 48, 0, -16, 4, 0, -24, 72, 0, 60, 74, 0, 34, -102, 0, -42, 24, 0, -28, 108, 0, -24, -66, 0, 10, 0, 0, 2, -12, 0, -16, 96, 0, -128, 16, 0, -28, 0, 0, -102, 2, 0, -24, -16, 0, -102, 84, 0, -12, -102, 0, -60, -20, 0, -44, 56, 0, -128, -60, 0, 16, 126, 0, 4, 24, 0, -108, 72, 0, -104, -36, 0, 2, 4, 0, 10, -12, 0, 54, -18, 0, 24, -14, 0, 20, 28, 0, 70, 2, 0, -72, -12, 0, -84, 42, 0, 48, -10, 0, 120, 48, 0, -4, 122, 0, -90, -84, 0, -6, 12, 0, -154, -32, 0, 0, 80, 0, 34, -20, 0, 2, -144, 0, 34, -80, 0, 12, -78, 0, -124, 14, 0, -6, 86, 0, -30, 0, 0, -48, 8, 0, 84, -44, 0, 4, 120, 0, -20, -36, 0, 20, -24, 0, 54, 40, 0, 72, -64, 0, -98, -42, 0, -4, -36, 0, 118, -12, 0, 28, 8, 0, -24, -22, 0, 44, 78, 0, 4, -10, 0, -28, -72, 0, -78, 2, 0, 56, 84, 0, 72, -56, 0, -32, 26, 0, 42, -48, 0, 56, -60, 0, 132, -66, 0, -12, 20, 0, 44, -10, 0, -16, 98, 0, -2, 6, 0, -24, -36, 0, -14, 8, 0, 2, 116, 0, -30, 48, 0, 12, 108, 0, 108, 12, 0, 8, 30, 0, -12, 34, 0, -12, -72, 0, -72, -10, 0, -144, -14, 0, 58, -66, 0, 32, 12, 0, 60, -12, 0, 58, -12, 0, 24, -22, 0, 20, -16, 0, 54, -20, 0, 48, 12, 0, -48, 14, 0, -24, -78, 0, -46, -2, 0, 6, -80, 0, 96, 28, 0, 48, 38, 0, -168, 60, 0, -8, -140, 0, -52, 36, 0, 52, -180, 0, -96, 16, 0, 24, 0, 0, -82, 60, 0, -10, -52, 0, 10, 48, 0, 50, 4, 0, -120, -30, 0, -16, 108, 0, -76, -8, 0, 66, 36, 0, 56, 38, 0, 42, 4, 0, 62, -12, 0, 60, 58, 0, -38, 144, 0, -10, -120, 0, -60, 10, 0, 0, -116, 0, 2, 60, 0, -14, 84, 0, -72, -32, 0, -12, -102, 0, -42, 22, 0, 56, 128, 0, 44, 24, 0, -8, -6, 0, -84, 14, 0, -10, -52, 0, 40, -44, 0, -96, 156, 0, 8, 14, 0, -36, -112, 0, -4, 10, 0, 30, 88, 0, -42, -24, 0, 4, 88, 0, -140, 0, 0, 28, -8, 0, -10, -42, 0, -16, 48, 0, -50, 0, 0, -36, -6, 0, -60, 2, 0, 44, -80, 0, 68, -84, 0, -12, 0, 0, 120, 58, 0, -46, -2, 0, 84, 22, 0, 12, 240, 0, 50, -16, 0, -12, -102, 0, -84, 50, 0, 16, 84, 0, 22, -180, 0, -54, 46, 0, -264, -4, 0, 0, 72, 0, -18, -2, 0, 0, 12, 0, -38, -72, 0, -56, 82, 0, -84, -60, 0, -4, 46, 0, 38, 12, 0, -8, 70, 0, -120, -90, 0, 2, -84, 0, -46, -60, 0, 84, 48, 0, -126, -18, 0, -108, 124, 0, 120, 2, 0, -60, 18, 0, 110, -84, 0, -12, -4, 0, 12, 16, 0, 30, -12, 0, -14, -38, 0, 38, -48, 0, -18, -44, 0, 24, 94, 0, -56, -62, 0, 18, 84, 0, 58, 72, 0, -44, 164, 0, 126, -82, 0, 26, -12, 0, -24, -4, 0, -32, 72, 0, 72, 102, 0, -12, 16, 0, 154, -40, 0, -6, -24, 0, -22, 84, 0, -4, -24, 0, 0, -24, 0, -48, 90, 0, 108, 8, 0, 18, 60, 0, -56, 8, 0, 96, -48, 0, -86, -106, 0, -32, -60, 0, -20, 0, 0, 8, -120, 0, -36, 48, 0, 32, -48, 0, 52, 24, 0, 24, 72, 0, 12, -70, 0, -22, -10, 0, 26, -52, 0, -120, -36, 0, 136, -12, 0, 14, 100, 0, -24, -16, 0, 44, 0, 0, -26, 48, 0, 48, 56, 0, -102, -22, 0, -108, -36, 0, -10, -6, 0, -20, -4, 0, -108, 0, 0, 8, -32, 0, -180, 40, 0, -24, 100, 0, 58, -6, 0, -12, -72, 0, 138, -12, 0, 0, 48, 0, -90, -26, 0, 114, -132, 0, 138, 36, 0, -50, 14, 0, 126, -24, 0, 48, -68, 0, -6, 10, 0, 32, 24, 0, 56, -28, 0, 12, -12, 0, 52, -22, 0, 36, -120, 0, -114, 28, 0, 0, -20, 0, 120, -32, 0, 6, 72, 0, 62, 24, 0, -32, 48, 0, 52, -48, 0, -24, -108, 0, 28, 8, 0, -56, 46, 0, -78, -144, 0, 16, -142, 0, 12, -48, 0, 48, -12, 0, 28, -116, 0, -26, 144, 0, -50, 14, 0, -112, 84, 0, 140, -44, 0, 14, 82, 0, 66, -24, 0, -24, -62, 0, -24, 4, 0, 6, -58, 0, -18, 0, 0, 66, -112, 0, 128, 84, 0, 36, -82, 0, -72, 0, 0, 116, 24, 0, -62, 60, 0, 54, 40, 0, 216, 38, 0, -92, 28, 0, 8, -94, 0, 6, -24, 0, 130, 16, 0, -144, 114, 0, 10, -66, 0, 6, -48, 0, -74, 12, 0, 18, 64, 0, 14, -12, 0, 6, 28, 0, -80, 52, 0, 98, 24, 0, 42, -66, 0, -36, 36, 0, 124, 46, 0, 48, 46, 0, 22, 24, 0, 4, 108, 0, 24, -20, 0, -102, 12, 0, 6, -2, 0, -58, -252, 0, -112, -32, 0, 0, -54, 0, -28, -16, 0, -24, -62, 0, -172, 0, 0, -8, -48, 0, 84, 46, 0, -22, 0, 0, -18, 34, 0, 84, -144, 0, -76, -92, 0, 14, 14, 0, 144, -26, 0, -6, 70, 0, 28, 132, 0, -16, 6, 0, 60, 6, 0, 40, 0, 0, -20, -52, 0, 0, 154, 0, -78, 80, 0, 24, -4, 0, 96, -44, 0, 0, 0, 0, 0, -84, 0, -24, 80, 0, 84, -54, 0, 12, -24, 0, -82, -12, 0, 28, -48, 0, 66, -16, 0, -48, 12, 0, -56, -12, 0, -40, -20, 0, -120, 132, 0, 28, -78, 0, -24, -78, 0, 64, 72, 0, -76, 24, 0, -30, 144, 0, 90, -6, 0, -120, 84, 0, -108, -10, 0, -30, -48, 0, 0, 0, 0, -136, 32, 0, 204, -70, 0, -2, 20, 0, -110, -20, 0, -8, -132, 0, 68, 62, 0, -24, -168, 0, -28, -44, 0, 48, 134, 0, -36, 84, 0, 62, 84, 0, -72, 42, 0, 80, -28, 0, 154, 32, 0, -12, 24, 0, -48, 12, 0, 70, 40, 0, -44, -154, 0, -58, 40, 0, 174, -12, 0, 26, -36, 0, -108, -36, 0, -28, -8, 0, -40, -12, 0, -12, 14, 0, 48, -44, 0, 0, -24, 0, -4, 14, 0, 104, 24, 0, -12, 120, 0, -24, -52, 0, -96, -40, 0, -80, -24, 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": "8046.2.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, 0], [1, 0], [1, 0], [0, 0], [1, 0], [0, 2], [0, 0], [1, 2], [1, 0], [0, 0], [0, 2], [3, 1], [0, 0], [2, -2], [1, 2], [0, 0], [1, 0], [-5, 1], [0, 0], [-2, 2], [0, 2], [0, 0], [3, 1], [-6, -1], [0, 0], [7, 0], [2, -2], [0, 0], [1, 2], [0, -1], [0, 0], [1, 0], [1, 0], [0, 0], [-5, 1], [12, 2], [0, 0], [1, -1], [-2, 2], [0, 0], [0, 2], [4, 3], [0, 0], [2, -4], [3, 1], [0, 0], [-6, -1], [-4, 2], [0, 0], [6, 4], [7, 0], [0, 0], [2, -2], [-8, -1], [0, 0], [6, 6], [1, 2], [0, 0], [0, -1], [5, 1], [0, 0], [1, -1], [1, 0], [0, 0], [1, 0], [-12, 4], [0, 0], [-1, 3], [-5, 1], [0, 0], [12, 2], [2, -7], [0, 0], [-2, -2], [1, -1], [0, 0], [-2, 2], [9, 7], [0, 0], [-11, 1], [0, 2], [0, 0], [4, 3], [7, 3], [0, 0], [6, -10], [2, -4], [0, 0], [3, 1], [6, 1], [0, 0], [-10, 2], [-6, -1], [0, 0], [-4, 2], [12, -4], [0, 0], [9, -1], [6, 4], [0, 0], [7, 0]]}