# Stored data for newform 2925.2.a.v, downloaded from the LMFDB on 25 April 2024.
{"label": "2925.2.a.v", "space_label": "2925.2.a", "level": 2925, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208337773, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1658326815443857902, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 1]], [7, [-8, 0, 1]], [11, [-2, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+(1-2\\beta )q^{4}-2\\beta q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 11700, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 23.35624259122451, "hecke_ring_index": 1, "level_radical": 195, "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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [2925, 1, [326, 352, 2251], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.886", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.927", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "58.984", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1], [13, -1]], "trace_display": [-2, 0, 0, 0], "traces": [0, 2, -2, 0, 2, 0, 0, 0, -6, 0, 0, 4, 0, 2, -8, 0, 6, 4, 0, 0, 0, 0, -4, -8, 0, 0, -2, 0, 16, -4, 0, -8, 6, 0, 12, 0, 0, 4, -8, 0, 0, -16, 0, -8, 4, 0, 8, -12, 0, 2, 0, 0, 2, -4, 0, 0, -8, 0, 4, -4, 0, 4, 16, 0, -14, 0, 0, -8, -28, 0, 0, -4, 0, -12, 12, 0, 16, 0, 0, 0, 0, 0, 24, -4, 0, 0, 24, 0, -12, -24, 0, 0, -8, 0, -4, 0, 0, 4, -2, 0, 0, -4, 0, -16, -6, 0, 4, 0, 0, -12, 0, 0, 0, 12, 0, 0, -4, 0, -12, -32, 0, -14, 28, 0, -24, 0, 0, 0, 10, 0, 0, 16, 0, 16, 0, 0, 4, -16, 0, 8, 0, 0, 4, 4, 0, 0, 28, 0, -28, 24, 0, -24, -8, 0, -16, 0, 0, 20, -32, 0, 0, 0, 0, -32, -32, 0, 20, 4, 0, 2, 0, 0, -40, -12, 0, 0, 12, 0, 16, 24, 0, 28, -8, 0, 24, 0, 0, 8, 20, 0, 0, 16, 0, 12, -20, 0, 2, -16, 0, 32, 0, 0, -12, 0, 0, 0, 32, 0, 6, 0, 0, -24, -4, 0, -32, 0, 0, -16, 44, 0, 0, 4, 0, 8, -8, 0, -44, -12, 0, 20, 0, 0, 12, -20, 0, 0, 28, 0, 16, -4, 0, 12, 14, 0, -60, 0, 0, 0, 32, 0, 0, 0, 0, -16, -16, 0, -26, -20, 0, -32, 0, 0, -16, 24, 0, 0, -16, 0, 8, -36, 0, -16, 12, 0, 8, 0, 0, 4, -40, 0, 0, -48, 0, -24, -4, 0, -4, -16, 0, 38, 0, 0, -44, -24, 0, 0, 4, 0, -32, -8, 0, -32, 48, 0, 0, 0, 0, 40, 32, 0, 0, -24, 0, -12, -20, 0, 64, 0, 0, -8, 0, 0, 32, -32, 0, 0, 24, 0, 56, 32, 0, 24, -36, 0, -20, 0, 0, 4, -2, 0, 0, -16, 0, 0, 40, 0, -4, -40, 0, -4, 0, 0, 12, -16, 0, 0, -8, 0, 8, -36, 0, -22, -28, 0, 16, 0, 0, 48, -24, 0, 0, 0, 0, -20, 24, 0, 20, -4, 0, -16, 0, 0, -48, 28, 0, 0, -44, 0, 36, 20, 0, -16, -6, 0, 40, 0, 0, -28, -16, 0, 0, -24, 0, -8, 28, 0, 16, 8, 0, -36, 0, 0, -48, 32, 0, 0, 6, 0, -16, 16, 0, 52, 24, 0, 12, 0, 0, -64, 64, 0, 0, -28, 0, 20, 48, 0, -76, 0, 0, 0, 0, 0, 12, 16, 0, 0, 16, 0, -16, 24, 0, -32, 76, 0, -20, 0, 0, 4, -52, 0, 0, -16, 0, 32, -12, 0, 68, -16, 0, 16, 0, 0, -4, -16, 0, 0, 0, 0, 4, -28, 0, 4, -28, 0, -14, 0, 0, -24, 20, 0, 0, -16, 0, -8, -8, 0, -24, 0, 0, 24, 0, 0, 0, 8, 0, 0, 16, 0, 32, 16, 0, -32, 54, 0, 36, 0, 0, -24, 16, 0, 0, -28, 0, 8, 16, 0, -24, 16, 0, -14, 0, 0, 16, -16, 0, 0, 16, 0, 36, 4, 0, 20, -40, 0, 28, 0, 0, -24, 0, 0, 0, 0, 0, 64, -4, 0, 72, 24, 0, -8, 0, 0, 56, 8, 0, 0, -24, 0, 12, 52, 0, 8, 4, 0, 80, 0, 0, -4, 26, 0, 0, -32, 0, -8, 52, 0, 64, 12, 0, -16, 0, 0, 12, -24, 0, 0, 40, 0, 8, 24, 0, 44, 64, 0, -72, 0, 0, -16, -8, 0, 0, -12, 0, 84, -32, 0, -16, -64, 0, 8, 0, 0, 88, 16, 0, 0, 12, 0, 20, 72, 0, 24, -32, 0, 24, 0, 0, 2, 8, 0, 0, -4, 0, -40, -64, 0, 16, 0, 0, -8, 0, 0, -16, -28, 0, 0, -48, 0, 16, 72, 0, -36, 16, 0, 28, 0, 0, 16, 36, 0, 0, 8, 0, 12, -36, 0, 2, 76, 0, 32, 0, 0, 32, 28, 0, 0, 48, 0, -24, -4, 0, -40, 20, 0, 72, 0, 0, 0, 20, 0, 0, -44, 0, -32, -28, 0, -56, 32, 0, 36, 0, 0, 64, 32, 0, 0, -40, 0, -12, -8, 0, -32, 22, 0, 28, 0, 0, 32, -8, 0, 0, 48, 0, 28, -48, 0, -24, -16, 0, -8, 0, 0, 16, 4, 0, 0, 20, 0, -56, 64, 0, 32, -36, 0, 4, 0, 0, -36, 40, 0, 0, -48, 0, -64, 80, 0, 20, -4, 0, 84, 0, 0, 76, 40, 0, 0, -28, 0, 28, -16, 0, -8, -48, 0, 6, 0, 0, 8, -64, 0, 0, 64, 0, 4, -20, 0, 0, 60, 0, -88, 0, 0, -16, -24, 0, 0, 16, 0, -4, -60, 0, -32, -32, 0, 24, 0, 0, -32, -12, 0, 0, 8, 0, -64, 64, 0, -16, -52, 0, -12, 0, 0, -14, 4, 0, 0, 32, 0, -80, 4, 0, -50, -20, 0, -24, 0, 0, 0, -12, 0, 0, -16, 0, 4, 48, 0, -32, -20, 0, -24, 0, 0, 44, -68, 0, 0, 12, 0, -80, 0, 0, -8, 68, 0, 32, 0, 0, -28, 48, 0, 0, -28, 0, 24, -28, 0, -112, -16, 0, 32, 0, 0, -40, 32, 0, 0, 88, 0, 32, 16, 0, -8, 48, 0, -68, 0, 0, -8, 52, 0, 0, 80, 0, -8, 12, 0, 84, 0, 0, -16, 0, 0, 24, -4, 0, 0, -8, 0, -12, 16, 0, 0, -116, 0, 16, 0, 0, 20, 16, 0, 0, -40, 0, 64, -12, 0, 48, -76, 0, -12, 0, 0, 80, 92, 0, 0, -4, 0, -4, 16, 0, -14, 12, 0, 44, 0, 0, -8, 42, 0, 0, 8, 0, 64, 80, 0, 12, 56, 0, -48, 0, 0, -48, 28, 0, 0, -24, 0, 16, 32, 0, 32, -16, 0, 16, 0, 0, -12, 16, 0, 0, 0, 0, -72, 0, 0, -40, 0, 0, 44, 0, 0, -16, 20, 0, 0, -16, 0, -72, -20, 0, -36, 80, 0, -14, 0, 0, 0, -52, 0, 0, 72, 0, 36, -8, 0, 0, 136, 0, 16, 0, 0, -4, 16, 0, 0, 24, 0, -48, -68, 0, 8, 24, 0, -64, 0, 0, -48, 14, 0, 0, 56, 0, -16, -48, 0, 24, 8, 0, -60, 0, 0, -24, -8, 0, 0, -36, 0, -4, -4, 0, 48, -20, 0, 96, 0, 0, -16, 4, 0, 0, -104, 0, 60, -8, 0, 40, 8, 0, 0, 0, 0, 16, -28, 0, 0, -64, 0, 4, 52, 0, -8, -56, 0, -80, 0, 0, -12, 24, 0, 0, 32, 0, -16, -64, 0, -8, -8, 0, 44, 0, 0, 72, -32, 0, 0, -12, 0, -4, -48, 0, 16, -56, 0, -12, 0, 0, 16, -144, 0, 0, 28, 0, 28, 100, 0, -90, -24, 0, -64, 0, 0, 48, 12, 0, 0, 8, 0, -36, 32, 0, -40, -104, 0, -60, 0, 0, 0, 48, 0, 0, -40, 0, 0, 28, 0, 0, 56, 0, 32, 0, 0, -80, 28, 0, 0, -8, 0, 8, -24, 0, 4, -108, 0, -96, 0, 0, -8, 96, 0, 0, 32, 0, -36, -80, 0, -16, -72, 0, 16, 0, 0, -4, -64, 0, 0, -68, 0, 24, 16, 0, 32, 0, 0, 56, 0, 0, -68, 48, 0, 0, 40, 0, 24, -152, 0, 80, 16, 0, 36, 0, 0, -12, -64, 0, 0, -60, 0, -8, -4, 0, 4, 64, 0, 0, 0, 0, 0, -48, 0, 0, 80, 0, 16, -2, 0, -8, -84, 0, -24, 0, 0, -76, 0, 0, 0, 32, 0, 32, -72, 0, 40, 0, 0, 32, 0, 0, 84, -24, 0, 0, 36, 0, -32, 88, 0, -4, -68, 0, -64, 0, 0, -40, -4, 0, 0, -64, 0, -40, -44, 0, 68, -12, 0, -56, 0, 0, -96, -12, 0, 0, -72, 0, 64, -16, 0, -28, 64, 0, -16, 0, 0, 56, -128, 0, 0, -76, 0, 68, 0, 0, 64, -6, 0, -108, 0, 0, 16, -48, 0, 0, 44, 0, 24, -48, 0, 68, -76, 0, -2, 0, 0, -96, -88, 0, 0, -8, 0, 4, -48, 0, -52, 80, 0, 20, 0, 0, -32, -104, 0, 0, 0, 0, -32, -112, 0, -36, 0, 0, 16, 0, 0, 92, -16, 0, 0, 16, 0, 20, 88, 0, 56, 128, 0, -16, 0, 0, -12, -100, 0, 0, -4, 0, 8, -72, 0, -64, 80, 0, -20, 0, 0, -40, 68, 0, 0, 60, 0, 104, -136, 0, 32, 96, 0, -22, 0, 0, 96, -84, 0, 0, -100, 0, -12, -48, 0, 0, 16, 0, 8, 0, 0, -80, 32, 0, 0, 36, 0, 48, 12, 0, 16, 56, 0, 0, 0, 0, 0, -32, 0, 0, 12, 0, -72, -32, 0, -4, 4, 0, 76, 0, 0, -20, -56, 0, 0, 8, 0, -64, -8, 0, 64, -80, 0, -52, 0, 0, -32, -4, 0, 0, 32, 0, -80, -60, 0, -64, 0, 0, -8, 0, 0, 24, -20, 0, 0, 112, 0, -80, 16, 0, -104, -68, 0, -12, 0, 0, 8, -84, 0, 0, 32, 0, -16, -68, 0, 0, -32, 0, 12, 0, 0, 12, 24, 0, 0, -76, 0, 80, -56, 0, -48, 8, 0, 112, 0, 0, -48, 6, 0, 0, 76, 0, -14, 96, 0, 72, -32, 0, -48, 0, 0, -112, -56, 0, 0, 28, 0, 68, 64, 0, 48, -80, 0, -76, 0, 0, 12, -40, 0, 0, -16, 0, 64, 56, 0, 56, 60, 0, 12, 0, 0, -24, 84, 0, 0, -12, 0, 92, -28, 0, -44, -8, 0, 16, 0, 0, 48, -56, 0, 0, -96, 0, 16, 64, 0, 60, -20, 0, 48, 0, 0, 48, 16, 0, 0, 112, 0, -48, -56, 0, 0, 0, 0, 52, 0, 0, 60, -20, 0, 0, -48, 0, 96, 10, 0, 12, 24, 0, -28, 0, 0, -16, 0, 0, 0, 144, 0, -132, 48, 0, 62, 50, 0, -12, 0, 0, 32, 72, 0, 0, 16, 0, 68, 56, 0, -12, -24, 0, 24, 0, 0, -48, 16, 0, 0, -20, 0, -32, -96, 0, 8, 0, 0, -92, 0, 0, -72, 56, 0, 0, -48, 0, 88, -60, 0, 84, 40, 0, 16, 0, 0, -44, 36, 0, 0, 80, 0, -64, -88, 0, 84, 0, 0, -36, 0, 0, 56, -64, 0, 0, 32, 0, -28, -52, 0, -96, 0, 0, 64, 0, 0, 140, 96, 0, 0, -136, 0, 4, -8, 0, 0, 208, 0, 16, 0, 0, 4, -32, 0, 0, -16, 0, 16, 0, 0, 16, -76, 0, -84, 0, 0, -96, -64, 0, 0, -88, 0, -32, -32, 0, 4, -24, 0, -64, 0, 0, 8, 36, 0, 0, -16, 0, 4, 56, 0, 4, 0, 0, -128, 0, 0, -80, 16, 0, 0, 40, 0, -28, -16, 0, -96, -92, 0, -64, 0, 0, 8, 48, 0, 0, 0, 0, 32, -32, 0, 4, -32, 0, 10, 0, 0, -16, 104, 0, 0, 28, 0, -72, 4, 0, -20, -8, 0, 108, 0, 0, 72, -16, 0, 0, 32, 0, -44, 12, 0, -48, 72, 0, -136, 0, 0, 0, 0, 0, 0, -96, 0, -28, 52, 0, 48, -80, 0, 124, 0, 0, 112, 28, 0, 0, 68, 0, -24, -96, 0, -108, -24, 0, 16, 0, 0, 12, 24, 0, 0, 36, 0, 48, 32, 0, -104, -50, 0, -28, 0, 0, 64, -52, 0, 0, 44, 0, 52, -32, 0, -42, 24, 0, 0, 0, 0, 24, 16, 0, 0, -96, 0, -136, 20, 0, 96, 44, 0, -16, 0, 0, -32, 32, 0, 0, -8, 0, -24, 112, 0, 4, -16, 0, 48, 0, 0, 56, 12, 0, 0, -8, 0, -96, -8, 0, 96, -64, 0, 72, 0, 0, -56, -32, 0, 0, 56, 0, -52, 140, 0, -56, -32, 0, 160, 0, 0, -16, -56, 0, 0, 8, 0, 0, -16, 0, 8, 72, 0, 16, 0, 0, 36, -92, 0, 0, -16, 0, -128, 48, 0, 60, -8, 0, -4, 0, 0, 0, 64, 0, 0, 128, 0, 116, -28, 0, 20, -44, 0, -128, 0, 0, 96, -70, 0, 0, -80, 0, -68, -32, 0, 76, -28, 0, 8, 0, 0, -104, 40, 0, 0, -52, 0, 40, 80, 0, -64, 80, 0, -40, 0, 0, 16, 64, 0, 0, 68, 0, -72, 36, 0, -112, -12, 0, 76, 0, 0, -56, 0, 0, 0, 48, 0, 4, -4, 0, 32, -80, 0, -72, 0, 0, -8, 112, 0, 0, 84, 0, -76, 144, 0, -14, 24, 0, -32, 0, 0, -96, 24, 0, 0, -32, 0, 48, 12, 0, 136, -32, 0, -40, 0, 0, 140, 124, 0, 0, 68, 0, -152, -32, 0, -24, 64, 0, -16, 0, 0, 108, 8, 0, 0, 4, 0, 20, -64, 0, 44, 16, 0, 20, 0, 0, -32, -8, 0, 0, 4, 0, 32, 168, 0, -156, -128, 0, 32, 0, 0, 72, -72, 0, 0, -92, 0, 40, 64, 0, 0, -48, 0, 64, 0, 0, 2, -80, 0, 0, 16, 0, 40, -32, 0, 12, 32, 0, 42, 0, 0, 64, 36, 0, 0, -12, 0, -68, -48, 0, -92, -24, 0, 24, 0, 0, 32, 136, 0, 0, -16, 0, 0, 76, 0, -40, 84, 0, -16, 0, 0, -16, -4, 0, 0, -8, 0, 152, -12, 0, 16, 8, 0, 8, 0, 0, 136, -28, 0, 0, 32, 0, 80, 24, 0, 64, 12, 0, 12, 0, 0, -12, -32, 0, 0, -44, 0, -32, 16, 0, -68, 112, 0, 104, 0, 0, 0, 12, 0, 0, 0, 0, -92, -64, 0, 112, -36, 0, 0, 0, 0, 52, -12, 0, 0, 36, 0, -196, 120, 0, 0, -50, 0, 16, 0, 0, -80, 48, 0, 0, -48, 0, 16, -64, 0, -156, 24, 0, -64, 0, 0, -8, 32, 0, 0, -20, 0, -48, -72, 0, -76, 168, 0, 112, 0, 0, -80, 108, 0, 0, -116, 0, 28, -64, 0, -80, 44, 0, 64, 0, 0, 96, -112, 0, 0, -8, 0, 4, 64, 0, -56, 24, 0, 40, 0, 0, 20, -48, 0, 0, -120, 0, 0, 72, 0, -108, -32, 0, 36, 0, 0, 24, 76, 0, 0, -40, 0, 88, -100, 0, -110, -36, 0, 172, 0, 0, 8, 128, 0, 0, 76, 0, 32, -24, 0, -72, -100, 0, 0, 0, 0, 16, -148, 0, 0, 100, 0, 176, -64, 0, 8, 88, 0, 80, 0, 0, -44, -16, 0, 0, 124, 0, -32, 20, 0, 32, 40, 0, -64, 0, 0, 52, 16, 0, 0, -112, 0, -8, 44, 0, 0, 64, 0, -16, 0, 0, 8, -48, 0, 0, 144, 0, 28, 68, 0, -104, 0, 0, -48, 0, 0, -104, 16, 0, 0, -88, 0, 136, 0, 0, 24, -176, 0, -48, 0, 0, -24, -36, 0, 0, 32, 0, -40, 36, 0, -32, 48, 0, 12, 0, 0, 60, 96, 0, 0, -56, 0, 20, 40, 0, 4, -20, 0, -152, 0, 0, 0, -32, 0, 0, 48, 0, 16, -112, 0, 24, -48, 0, 72, 0, 0, -176, 4, 0, 0, 16, 0, 2, 20, 0, 112, 24, 0, 116, 0, 0, -60, 0, 0, 0, -16, 0, -40, 156, 0, 192, 48, 0, 0, 0, 0, -24, 48, 0, 0, 0, 0, 64, -140, 0, 48, -56, 0, 80, 0, 0, 32, -64, 0, 0, 144, 0, 28, -52, 0, 56, -4, 0, -48, 0, 0, -68, 16, 0, 0, 32, 0, -96, -20, 0, 0, 36, 0, 164, 0, 0, 28, 32, 0, 0, -120, 0, 112, 128, 0, -12, -8, 0, -8, 0, 0, -48, 96, 0, 0, 8, 0, -36, 0, 0, 64, -68, 0, 60, 0, 0, -32, -32, 0, 0, 24, 0, -48, 160, 0, 4, 40, 0, -64, 0, 0, 72, 12, 0, 0, -160, 0, 16, 40, 0, 32, 12, 0, -128, 0, 0, -4, 32, 0, 0, -96, 0, 64, -120, 0, 64, 104, 0, 44, 0, 0, 140, 8, 0, 0, -44, 0, 16, 84, 0, 40, -112, 0, 6, 0, 0, -120, 140, 0, 0, -20, 0, 4, 48, 0, 64, 0, 0, 128, 0, 0, -140, -96, 0, 0, 8, 0, 64, -100, 0, 8, -164, 0, 12, 0, 0, 128, 66, 0, 0, 64, 0, -24, 48, 0, 64, 48, 0, 76, 0, 0, 88, -12, 0, 0, -4, 0, 112, 80, 0, 0, 116, 0, -120, 0, 0, 32, -36, 0, 0, -96, 0, 88, 80, 0, 152, 56, 0, 96, 0, 0, -32, 56, 0, 0, -96, 0, 224, 0, 0, -64, 28, 0, -32, 0, 0, 28, -136, 0, 0, 8, 0, 88, -140, 0, -112, 80, 0, -98, 0, 0, 0, -8, 0, 0, -52, 0, -128, 84, 0, -16, -56, 0, -24, 0, 0, -40, 0, 0, 0, 16, 0, 28, 44, 0, 164, 140, 0, -56, 0, 0, 4, -104, 0, 0, 48, 0, -80, -64, 0, 24, 96, 0, -176, 0, 0, -4, 116, 0, 0, 36, 0, 96, 72, 0, -68, -152, 0, -48, 0, 0, 60, 4, 0, 0, -200, 0, 136, -20, 0, 0, -32, 0, -160, 0, 0, 96, 66, 0, 0, -4, 0, 48, -80, 0, 84, 104, 0, 8, 0, 0, 84, -56, 0, 0, 76, 0, 64, 92, 0, 32, -8, 0, 0, 0, 0, 20, -8, 0, 0, 0, 0, -128, 112, 0, -32, 84, 0, 8, 0, 0, -100, 128, 0, 0, -144, 0, -44, -48, 0, -88, -120, 0, -40, 0, 0, -64, 16, 0, 0, -12, 0, -68, 96, 0, 72, -8, 0, -72, 0, 0, -156, -96, 0, 0, 136, 0, 16, 72, 0, -16, 4, 0, 124, 0, 0, 20, 4, 0, 0, -32, 0, 0, 60, 0, 192, 32, 0, 4, 0, 0, 24, 128, 0, 0, 64, 0, -88, -16, 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": "39.2.a.b", "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, 1], [0, 0], [1, -2], [0, 0], [0, 0], [0, -2], [-3, 1], [0, 0], [0, 0], [2, 0], [0, 0], [1, 0], [-4, 2], [0, 0], [3, 0], [2, 4], [0, 0], [0, -2], [0, 0], [0, 0], [-2, 2], [-4, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [8, -2], [-2, 0], [0, 0], [-4, 2], [3, 1], [0, 0], [6, -2], [0, 0], [0, 0], [2, 4], [-4, 2], [0, 0], [0, 0], [-8, 2], [0, 0], [-4, 4], [2, -4], [0, 0], [4, -4], [-6, -4], [0, 0], [1, 0], [0, 0], [0, 0], [1, -2], [-2, 0], [0, 0], [0, 0], [-4, 6], [0, 0], [2, -2], [-2, -4], [0, 0], [2, 8], [8, -6], [0, 0], [-7, 2], [0, 0], [0, 0], [-4, -2], [-14, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [-6, 4], [6, -2], [0, 0], [8, -2], [0, -4], [0, 0], [0, -8], [0, 0], [0, 0], [12, -10], [-2, 4], [0, 0], [0, 0], [12, -8], [0, 0], [-6, 2], [-12, -2], [0, 0], [0, -2], [-4, 8], [0, 0], [-2, -2], [0, 0], [0, 0], [2, -4], [-1, 1], [0, 0], [0, 0]]}