# Stored data for newform 2601.2.a.q, downloaded from the LMFDB on 28 March 2024. {"label": "2601.2.a.q", "space_label": "2601.2.a", "level": 2601, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071484969, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 186095674159530103, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 0, 1]], [5, [-1, 1]], [7, [-2, 0, 1]]], "qexp_display": "q+\\beta q^{2}+q^{5}-\\beta q^{7}-2\\beta q^{8}+\\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": 10404, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 20.76908956573503, "hecke_ring_index": 1, "level_radical": 51, "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": "0.502", "prec": 17}, "analytic_rank_proved": true, "char_values": [2601, 1, [290, 2026], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [3, 17], "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": "1.952", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.124", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "149.441", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [17, 1]], "trace_display": [0, 0, 2, 0], "traces": [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, -4, 0, -8, 0, 0, -6, 0, 0, 0, -10, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, -18, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 16, 0, 16, 2, 0, -20, 0, 0, -4, -20, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -6, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, -8, 14, 0, 0, 0, 0, 0, -10, 0, -10, 0, 0, -28, 0, 0, -20, 20, 0, 0, -18, 0, -30, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -16, 32, 0, 0, 0, 0, -12, 0, 0, -4, 0, 0, 14, -20, 0, 0, 0, 0, 0, 0, 0, 40, 10, 0, -24, 0, 0, 0, 10, 0, 0, -8, 0, -12, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, -8, -6, 0, 0, 0, 0, 0, -18, 0, -16, -40, 0, 0, 0, 0, -30, 0, 0, 0, 50, 0, 24, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -6, -32, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 12, 0, 0, 46, 0, 10, 0, 0, 36, -8, 0, 0, 28, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 12, -10, 0, 0, 0, 0, 24, 0, 0, -20, 0, 0, 16, -52, 0, 0, 0, 0, 0, -64, 0, -16, 16, 0, 20, 0, 0, -8, 8, 0, 0, 24, 0, -42, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 6, 16, 0, 0, 0, 0, -20, 0, 0, -40, 0, 0, -20, -20, 0, 0, 0, 0, 0, 40, 0, 4, 8, 0, 40, 0, 0, 48, -16, 0, 0, 0, 0, 60, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 32, -2, 0, 0, 0, 0, 32, 0, 0, 34, 0, 0, 0, 28, 0, 0, 0, 0, 0, -4, 0, -58, -40, 0, 16, 0, 0, -20, 0, 0, 0, -52, 0, 30, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 22, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 20, 64, 0, 0, 0, 0, 0, -24, 0, 56, -18, 0, 24, 0, 0, 48, 58, 0, 0, -20, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 22, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, -20, 10, 0, 0, 0, 0, 0, 62, 0, -52, 0, 0, 68, 0, 0, 4, -8, 0, 0, 22, 0, 14, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 20, 80, 0, 0, 0, 0, -18, 0, 0, 20, 0, 0, -10, -68, 0, 0, 0, 0, 0, 0, 0, -44, 40, 0, 34, 0, 0, 0, -40, 0, 0, -64, 0, 12, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -20, 0, 0, 0, 0, 20, 0, 0, 22, 0, 0, 8, 80, 0, 0, 0, 0, 0, 12, 0, 22, 32, 0, 0, 0, 0, -18, 40, 0, 0, -30, 0, -10, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 14, -88, 0, 0, 0, 0, -18, 0, 0, -80, 0, 0, 80, 0, 0, 0, 0, 0, 0, -44, 0, 0, -74, 0, 40, 0, 0, 16, -62, 0, 0, 48, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 2, 0, 0, -68, 26, 0, 0, 0, 0, 0, 64, 0, -40, 8, 0, 32, 0, 0, 48, -100, 0, 0, -20, 0, -30, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 66, -28, 0, 0, 0, 0, 40, 0, 0, 8, 0, 0, -34, -4, 0, 0, 0, 0, 0, 80, 0, 52, -66, 0, -20, 0, 0, 40, 14, 0, 0, 0, 0, -20, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 10, 0, 0, 0, 0, 4, 0, 0, 54, 0, 0, 0, -70, 0, 0, 0, 0, 0, -10, 0, -64, 40, 0, 16, 0, 0, 10, 0, 0, 0, 14, 0, 70, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, -84, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -20, 80, 0, 0, 0, 0, 0, -80, 0, -8, 52, 0, -2, 0, 0, -24, 70, 0, 0, -12, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 58, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 100, -20, 0, 0, 0, 0, 0, -34, 0, 30, 0, 0, -76, 0, 0, -60, 40, 0, 0, -40, 0, -110, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 2, 4, 0, 0, 0, 0, -114, 0, 0, -40, 0, 0, -28, 28, 0, 0, 0, 0, 0, 0, 0, 64, -38, 0, -14, 0, 0, 0, 90, 0, 0, 0, 0, 40, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, -64, -88, 0, 0, 0, 0, 0, 86, 0, -10, -24, 0, 0, 0, 0, -30, -8, 0, 0, -12, 0, -6, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110, 0, -90, -24, 0, 0, 0, 0, 30, 0, 0, 80, 0, 0, 72, 0, 0, 0, 0, 0, 0, -116, 0, 0, -16, 0, 34, 0, 0, -40, -68, 0, 0, 76, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -60, -30, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, -8, 50, 0, 0, 0, 0, 0, 10, 0, 50, 80, 0, -88, 0, 0, -8, -64, 0, 0, 24, 0, 16, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 50, -8, 0, 0, 0, 0, -42, 0, 0, 56, 0, 0, 14, -48, 0, 0, 0, 0, 0, 0, 0, -32, -50, 0, -176, 0, 0, -24, 40, 0, 0, 0, 0, -60, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, -48, 40, 0, 0, 0, 0, -24, 0, 0, 40, 0, 0, 0, -46, 0, 0, 0, 0, 0, -6, 0, 110, 140, 0, -32, 0, 0, -10, 0, 0, 0, 144, 0, 6, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 20, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, -32, 0, -40, -26, 0, -68, 0, 0, -60, -4, 0, 0, -28, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, -134, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 12, -42, 0, 0, 0, 0, 0, -60, 0, 10, 0, 0, 20, 0, 0, 46, 56, 0, 0, 60, 0, -40, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -86, 0, -70, 36, 0, 0, 0, 0, -18, 0, 0, -8, 0, 0, 14, -56, 0, 0, 0, 0, 0, 0, 0, 28, 14, 0, -8, 0, 0, 0, -30, 0, 0, -32, 0, -120, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 80, 0, 0, 0, 0, -80, 0, 0, 64, 0, 0, 80, 38, 0, 0, 0, 0, 0, -10, 0, 14, -20, 0, 0, 0, 0, -66, 40, 0, 0, -52, 0, 90, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, -132, -80, 0, 0, 0, 0, 40, 0, 0, -8, 0, 0, 32, 0, 0, 0, 0, 0, 0, 12, 0, 0, 10, 0, -10, 0, 0, -28, 46, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 24, 58, 0, 0, 0, 0, -120, 0, 0, -128, 0, 0, -28, -20, 0, 0, 0, 0, 0, 100, 0, 50, -80, 0, -112, 0, 0, 90, -64, 0, 0, -22, 0, -52, 0, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142, 0, -20, -16, 0, 0, 0, 0, -6, 0, 0, 20, 0, 0, -64, 20, 0, 0, 0, 0, 0, -16, 0, -56, -16, 0, 34, 0, 0, -64, -8, 0, 0, 0, 0, 32, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -64, -18, 0, 0, 0, 0, 8, 0, 0, 100, 0, 0, 0, 86, 0, 0, 0, 0, 0, -32, 0, 24, -28, 0, -40, 0, 0, -30, 0, 0, 0, -42, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 80, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 20, 80, 0, 0, 0, 0, 0, 40, 0, 0, -50, 0, 10, 0, 0, -20, 14, 0, 0, -140, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 14, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -20, -24, 0, 0, 0, 0, 0, 6, 0, 74, 0, 0, 36, 0, 0, 30, -4, 0, 0, -84, 0, -24, 0, 0, 0, -198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 144, 60, 0, 0, 0, 0, -102, 0, 0, 72, 0, 0, -46, -40, 0, 0, 0, 0, 0, 0, 0, -128, 20, 0, -38, 0, 0, 0, -20, 0, 0, 40, 0, -20, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, -112, 0, 0, 0, 0, -28, 0, 0, 10, 0, 0, 40, -68, 0, 0, 0, 0, 0, 44, 0, 76, -16, 0, 0, 0, 0, 8, -128, 0, 0, -24, 0, 120, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, -126, 48, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 32, 0, 0, 118, 0, 10, 0, 0, 72, 154, 0, 0, 60, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 40, 118, 0, 0, 0, 0, 80, 0, 0, -80, 0, 0, 40, 160, 0, 0, 0, 0, 0, -46, 0, 8, 0, 0, 92, 0, 0, -30, -12, 0, 0, -8, 0, -12, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 166, 0, 68, -40, 0, 0, 0, 0, 84, 0, 0, 8, 0, 0, -70, 76, 0, 0, 0, 0, 0, 72, 0, -4, 70, 0, -2, 0, 0, -168, -110, 0, 0, 0, 0, 24, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 120, -42, 0, 0, 0, 0, 12, 0, 0, 14, 0, 0, 0, 34, 0, 0, 0, 0, 0, -12, 0, -28, -20, 0, 40, 0, 0, 160, 0, 0, 0, -28, 0, 28, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 42, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, -4, -56, 0, 0, 0, 0, 0, 40, 0, -136, -58, 0, 90, 0, 0, -40, -158, 0, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, -20, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, -32, 30, 0, 0, 0, 0, 0, 80, 0, -52, 0, 0, 40, 0, 0, 162, 120, 0, 0, 30, 0, -14, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 30, 8, 0, 0, 0, 0, -32, 0, 0, -76, 0, 0, -50, -28, 0, 0, 0, 0, 0, 0, 0, -20, 40, 0, 50, 0, 0, 0, -98, 0, 0, -160, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 10, 0, 0, 0, 0, 84, 0, 0, -20, 0, 0, -40, 10, 0, 0, 0, 0, 0, 22, 0, 20, -172, 0, 0, 0, 0, 128, 136, 0, 0, 74, 0, 126, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 174, -8, 0, 0, 0, 0, 90, 0, 0, 88, 0, 0, 60, 0, 0, 0, 0, 0, 0, -8, 0, 0, -146, 0, 130, 0, 0, -12, 20, 0, 0, -60, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 106, 0, 0, 0, 0, -24, 0, 0, 10, 0, 0, 96, -22, 0, 0, 0, 0, 0, -100, 0, 44, 56, 0, 164, 0, 0, -18, 48, 0, 0, -50, 0, 30, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 30, 48, 0, 0, 0, 0, 58, 0, 0, -40, 0, 0, 22, 16, 0, 0, 0, 0, 0, -72, 0, -20, 148, 0, 90, 0, 0, 48, 46, 0, 0, 0, 0, -20, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, -40, -110, 0, 0, 0, 0, -120, 0, 0, -80, 0, 0, 0, -30, 0, 0, 0, 0, 0, -100, 0, -70, 80, 0, 0, 0, 0, -6, 0, 0, 0, -12, 0, 42, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 48, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, -52, -64, 0, 0, 0, 0, 0, 84, 0, -56, 68, 0, 22, 0, 0, 60, 24, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, -98, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, -176, -32, 0, 0, 0, 0, 0, -14, 0, 50, 0, 0, 20, 0, 0, 100, -20, 0, 0, 160, 0, -40, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 42, 116, 0, 0, 0, 0, 50, 0, 0, 56, 0, 0, 62, -68, 0, 0, 0, 0, 0, 0, 0, -104, -52, 0, -14, 0, 0, 0, 70, 0, 0, 176, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 4, 0, 0, 0, 0, 32, 0, 0, 28, 0, 0, 0, 26, 0, 0, 0, 0, 0, -130, 0, 22, -144, 0, 0, 0, 0, -162, -40, 0, 0, -56, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, -10, 88, 0, 0, 0, 0, 32, 0, 0, 96, 0, 0, 206, 0, 0, 0, 0, 0, 0, 140, 0, 0, -6, 0, -56, 0, 0, -144, -52, 0, 0, 192, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, -220, 0, 0, 0, 0, -144, 0, 0, 48, 0, 0, 28, -48, 0, 0, 0, 0, 0, 20, 0, 50, -40, 0, 80, 0, 0, 168, -96, 0, 0, 56, 0, -16, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 120, -172, 0, 0, 0, 0, 162, 0, 0, -100, 0, 0, -90, 20, 0, 0, 0, 0, 0, 0, 0, -92, 130, 0, -16, 0, 0, -24, 40, 0, 0, 0, 0, -68, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, -4, 0, 0, 0, 0, 84, 0, 0, 94, 0, 0, 0, -52, 0, 0, 0, 0, 0, -120, 0, 36, -44, 0, 136, 0, 0, 90, 0, 0, 0, -58, 0, 180, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, -30, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, -20, 0, -64, 150, 0, -20, 0, 0, 12, -110, 0, 0, 12, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 50, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 160, -148, 0, 0, 0, 0, 0, -106, 0, -70, 0, 0, -160, 0, 0, 24, 188, 0, 0, 10, 0, -42, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 51, 3, -1, 2, 0]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "153.2.f.a", "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], [0, 1], [0, 0], [0, 0], [1, 0], [0, 0], [0, -1], [0, -2], [0, 0], [0, 1], [1, 0], [0, 0], [1, 0], [-2, 0], [0, 0], [-4, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [0, 0], [0, 1], [-5, 0], [0, 0], [-4, 0], [0, 1], [0, 0], [0, 0], [-8, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, 1], [0, -3], [0, 0], [0, -2], [11, 0], [0, 0], [-9, 0], [0, 0], [0, 0], [0, -5], [0, -6], [0, 0], [-5, 0], [0, -4], [0, 0], [0, 0], [0, -2], [0, 0], [1, 0], [4, 0], [0, 0], [0, -8], [0, -7], [0, 0], [0, 5], [8, 0], [0, 0], [8, 0], [1, 0], [0, 0], [-10, 0], [0, 0], [0, 0], [-2, 0], [-10, 0], [0, 0], [0, 8], [2, 0], [0, 0], [0, 0], [0, -1], [0, 0], [0, -5], [-4, 0], [0, 0], [0, 11], [0, 10], [0, 0], [0, 0], [0, -9], [0, 0], [0, -2], [0, -3], [0, 0], [0, -1], [0, 0], [0, 0], [-12, 0], [-3, 0], [0, 0], [0, -10], [0, -5], [0, 0], [0, 0]]}