# Stored data for newform 5290.2.a.g, downloaded from the LMFDB on 18 April 2024.
{"label": "5290.2.a.g", "space_label": "5290.2.a", "level": 5290, "weight": 2, "hecke_orbit": 7, "hecke_orbit_code": 27021597797782698, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 1722204004101300783, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 0, 1]], [7, [-2, -2, 1]], [11, [-8, 4, 1]]], "qexp_display": "q-q^{2}+\\beta q^{3}+q^{4}+q^{5}-\\beta q^{6}+(1+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 21160, "fricke_eigenval": 1, "atkin_lehner_string": "+--", "analytic_conductor": 42.240862669257325, "hecke_ring_index": 1, "level_radical": 230, "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": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [5290, 1, [2117, 2121], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 23], "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.251", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "74.315", "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], [5, -1], [23, -1]], "trace_display": [-2, 0, 2, 2], "traces": [0, 2, -2, 0, 2, 2, 0, 2, -2, 0, -2, -4, 0, 4, -2, 0, 2, -6, 0, -4, 2, 6, 4, 0, 0, 2, -4, 0, 2, -6, 0, -14, -2, -12, 6, 2, 0, 0, 4, 12, -2, 12, -6, 2, -4, 0, 0, -2, 0, -6, -2, -12, 4, 6, 0, -4, -2, -6, 6, -14, 0, -8, 14, 0, 2, 4, 12, -2, -6, 0, -2, 6, 0, 0, 0, 0, -4, -16, -12, -6, 2, -18, -12, -22, 6, -6, -2, -6, 4, 16, 0, 16, 0, 6, 2, -4, 0, 16, 6, 0, 2, 0, 12, 0, -4, 6, -6, -20, 0, 14, 4, -12, 2, 6, 6, 0, -6, 0, 14, -18, 0, 10, 8, 12, -14, 2, 0, 18, -2, -24, -4, -6, -12, -10, 2, 0, 6, 10, 0, 18, 2, -42, -6, -32, 0, -6, 0, 12, 0, -42, 0, -8, 4, 0, 16, -14, 12, -32, 6, 6, -2, 0, 18, -4, 12, -12, 22, -22, -6, 6, 6, 0, 2, 42, 6, 2, -4, 0, -16, -22, 0, 20, -16, 24, 0, 0, -6, 36, -2, -18, 4, -6, 0, 8, -16, 12, -6, 20, 0, 2, -2, -24, 0, -12, -12, 12, 0, 0, 4, 20, -6, 14, 6, 42, 20, 2, 0, -8, -14, -6, -4, -36, 12, -28, -2, 0, -6, -34, -6, 50, 0, -24, 6, 12, 0, -2, -14, 6, 18, 20, 0, 16, -10, 0, -8, -6, -12, -20, 14, -24, -2, 16, 0, 0, -18, -12, 2, 40, 24, -12, 4, 0, 6, -24, 12, 6, 10, -12, -2, -16, 0, 12, -6, 24, -10, -4, 0, 2, -18, 0, -2, -20, 42, -34, 6, -6, 32, 24, 0, 8, 6, 24, 0, 4, -12, -14, 0, 36, 42, 0, 0, -22, 8, -24, -4, -8, 0, 4, -16, 12, 14, -18, -12, -2, 32, 0, -6, -30, -6, 24, 2, 0, 0, 24, -18, 4, 4, -18, -12, -44, 12, 18, -22, 0, 22, -2, 6, -14, -6, -12, -6, 16, 0, -8, -2, 0, -42, 16, -6, 36, -2, -36, 4, 36, 0, 6, 16, -30, 22, -30, 0, -24, -20, 48, 16, 0, -24, -26, 0, 0, 0, 12, 6, -22, -36, 0, 2, -24, 18, -44, -4, -6, 6, -24, 0, -16, -8, 0, 16, -40, -12, 0, 6, 12, -20, -6, 0, -26, -2, -18, 2, -8, 24, -16, 0, -18, 12, 24, 12, -26, -12, -12, 0, -14, 0, -22, -4, -12, -20, -36, 6, -14, -14, 0, -6, -6, -42, 16, -20, -48, -2, -8, 0, 4, 8, -6, 14, 0, 6, -14, 4, 0, 36, 24, -12, 16, 28, -6, 2, -10, 0, -48, 6, 12, 34, 16, 6, 4, -50, 36, 0, -56, 24, 12, -6, 6, -12, 32, 0, -26, 2, 0, 14, 44, -6, -4, -18, 0, -20, 42, 0, -24, -16, 0, 10, 16, 0, -16, 8, 36, 6, 8, 12, 30, 20, 0, -14, 48, 24, 10, 2, 30, -16, -44, 0, 0, 0, 48, 18, 18, 12, -6, -2, 18, -40, 0, -24, 88, 12, -6, -4, -76, 0, 32, -6, 6, 24, 30, -12, 0, -6, 0, -10, 48, 12, -20, 2, -24, 16, -12, 0, -34, -12, -48, 6, 14, -24, -24, 10, 0, 4, 18, 0, 0, -2, -12, 18, -30, 0, -44, 2, 60, 20, -42, -42, 6, 34, -18, -6, -8, 6, -32, -32, 30, -24, 0, 0, -28, -8, 6, -6, -46, -24, -24, 0, 0, -4, -32, 12, 22, 14, 0, 0, -56, -36, -18, -42, -30, 0, 30, 0, -28, 22, 0, -8, 10, 24, 6, 4, -24, 8, -88, 0, 14, -4, 12, 16, -50, -12, -16, -14, 0, 18, 4, 12, 2, 2, 36, -32, 24, 0, -34, 6, 48, 30, 18, 6, 12, -24, 0, -2, -24, 0, -24, 0, -24, -24, 40, 18, 28, -4, -36, -4, -74, 18, -6, 12, 0, 44, 8, -12, 66, -18, -60, 22, -10, 0, 0, -22, 48, 2, -32, -6, -12, 14, 0, 6, 14, 12, 40, 6, 36, -16, -32, 0, 10, 8, 6, 2, 24, 0, -72, 42, 0, -16, 18, 6, -60, -36, 42, 2, -54, 36, 12, -4, -42, -36, -24, 0, 10, -6, 0, -16, 0, 30, -32, -22, -36, 30, 54, 0, 12, 24, -18, 20, -6, -48, -52, -16, 54, 0, 42, 24, -6, 26, 12, 0, 52, 0, 36, 0, -36, -12, -6, -6, -42, 22, 0, 36, -20, 0, 56, -2, 42, 24, -8, -18, 10, 44, 0, 4, -74, 6, -4, -6, 0, 24, -28, 0, 8, 16, 6, 8, 16, 0, -14, -16, -12, 40, -36, 12, -96, 0, 18, -6, -32, -12, 10, 20, 12, 6, -6, 0, 32, 26, 6, 2, -14, 18, 90, -2, 0, 8, 12, -24, 0, 16, -72, 0, -46, 18, 26, -12, 24, -24, -4, -12, 20, 26, 0, 12, -12, 12, 58, 0, -12, 14, -6, 0, 0, 22, -102, 4, -6, 12, -22, 20, -18, 36, 0, -6, -34, 14, 18, 14, 6, 0, 58, 6, 36, 6, 0, 42, 76, -16, 0, 20, 72, 48, -30, 2, 48, 8, 34, 0, 42, -4, 72, -8, 0, 6, -52, -14, 0, 0, 2, -6, 32, 14, 24, -4, 60, 0, -56, -36, 0, -24, -6, 12, 12, -16, 36, -28, 46, 6, -22, -2, 0, 10, 36, 0, -30, 48, -18, -6, 20, -12, 30, -34, 0, -16, 36, -6, 92, -4, 24, 50, 6, -36, -10, 0, -42, 56, 96, -24, 0, -12, 0, 6, 12, -6, 0, 12, 6, -32, 36, 0, 22, 26, 84, -2, 22, 0, 0, -14, -18, -44, 4, 6, -12, 4, 42, 18, -32, 0, -6, 20, 48, -42, -2, 0, 42, 24, 0, 16, 8, 0, 40, -10, 42, -16, 0, 0, 6, 16, 12, -8, -92, -36, -8, -6, 0, -8, -20, -12, 20, -30, -48, -20, 0, 0, 16, 14, -60, -48, 2, -24, 20, -10, 36, -2, -80, -30, 42, 16, -24, 44, -18, 0, 28, 0, -12, 0, 6, -48, -12, -18, 0, -18, 60, -12, -16, 6, 72, 2, 12, -18, 0, 40, -48, 0, -36, 24, 74, -88, 0, -12, -24, 6, 28, 4, 30, 76, -48, 0, 20, -32, 36, 6, 104, -6, -92, -24, -36, -30, 14, 12, 4, 0, 30, 6, -20, 0, -26, 10, 42, -48, -80, -12, 56, 20, 0, -2, 12, 24, 2, -16, 42, 12, -92, 0, 0, 34, 24, 12, -8, 48, -26, -6, 0, -14, -128, 24, 34, 24, -6, -10, 80, 0, -32, -4, 54, -18, -78, 0, -36, 0, -36, 2, 0, 12, 48, -18, 24, 30, -28, 0, 10, 44, 30, -2, 28, -60, 74, -20, 0, 42, 0, 42, 58, -6, -48, -34, -24, 18, -34, 6, 6, 8, 54, -6, 32, 32, 0, 32, 50, -30, -12, 24, -60, 0, -74, 0, -88, 28, -24, 8, 8, -6, -8, 6, 72, 46, -16, 24, 12, 24, -12, 0, 8, 0, 20, 4, 0, 32, -2, -12, 40, -22, 0, -14, -82, 0, 54, 0, 6, 56, 30, 36, -48, 18, 42, 42, 42, 30, 20, 0, 0, -30, 8, 0, 84, 28, 90, -22, 16, 0, -102, 8, -72, -10, 36, -24, 48, -6, 0, -4, 60, 24, 0, -8, 24, 88, 28, 0, -6, -14, -36, 4, -36, -12, -18, -16, 0, 50, -20, 12, -66, 16, -42, 14, 12, 0, 12, -18, -24, -4, 18, -12, 0, -2, 0, -2, -46, -36, 16, 32, 54, -24, -88, 0, 80, 34, -18, -6, 0, -48, -28, -30, 126, -18, -72, -6, 28, -12, -12, 24, 4, 0, -28, 2, 0, 24, 0, 0, 40, 24, 0, 0, 78, 24, -68, 24, 24, -40, -12, -18, -16, -28, -24, 4, 90, 36, 74, 4, 0, 74, 48, -18, 96, 6, 0, -12, -48, 0, -24, -44, -90, -8, 28, 12, 72, -66, -36, 18, 6, 60, 28, -22, 42, 10, -72, 0, -38, 0, -12, 22, 24, -48, 24, -2, 0, 32, 6, 6, -16, 12, 24, -14, -54, 0, 14, -6, -96, -14, 12, -12, 0, -40, 0, -6, 46, -36, 48, 16, 24, 32, -14, 0, -50, -10, 108, -8, -28, -6, -4, -2, 54, -24, 20, 0, -44, 72, 36, -42, 2, 0, 6, 16, 0, -18, -40, -6, -28, 60, 0, 36, -24, -42, 2, -2, 60, 54, 0, -36, -20, -12, -30, 4, 42, 42, 114, 36, 0, 24, -34, 0, -8, -10, 36, 6, 6, 0, -14, 16, -6, 0, -12, -30, 76, 32, -18, 22, 52, 36, 24, -30, 30, -54, 36, 0, -12, -12, -24, -24, 8, 18, -56, -20, 0, 6, -18, 48, 22, 52, 24, 16, -28, -54, 48, 0, -48, -42, 56, -24, 4, 6, 0, -26, -12, -12, 46, 0, -12, -52, -14, 0, 62, -36, 54, 0, 34, 36, -16, 12, 36, 6, 12, 6, -36, 42, 60, -22, 34, 0, 0, -36, 0, 20, 24, 0, 6, -56, 0, 2, -22, -42, 4, -24, -12, 8, -100, 18, -24, -10, -24, -44, -24, 0, 54, -4, 0, 74, 0, -6, -8, 4, -6, 6, -12, 0, -14, -24, -6, 28, 4, 0, -24, -8, 36, -16, 0, -6, 32, -8, 12, -16, -96, 0, -52, 14, 96, 16, -36, 12, -18, -40, 0, 36, 0, -12, 20, 96, 0, 0, -2, -18, 50, 6, 36, 32, 12, 12, 116, -10, 0, -20, 68, -12, -44, -6, 66, 6, 86, 0, -30, -32, 0, -26, 2, -6, 48, -2, 0, 14, 24, -18, -6, -90, 96, 2, -4, 0, 56, -8, 0, -12, 8, 24, -56, 0, 0, -16, -2, 72, 24, 0, 12, 46, 62, -18, 20, -26, -66, 12, 4, -24, 90, 24, 0, 4, 54, 12, 0, -20, -18, -26, -62, 0, 96, -12, 36, 12, -36, -12, -44, -58, -72, 0, -96, 12, 24, -14, 30, 6, 18, 0, 48, 0, -12, -22, -8, 102, -64, -4, 0, 6, -18, -12, 30, 22, 78, -20, -16, 18, -2, -36, -36, 0, 0, 6, 14, 34, 0, -14, -14, -18, -2, -14, 24, -6, -20, 0, 68, -58, -12, -6, 0, -36, -12, -6, 0, 0, 12, -42, 16, -76, -54, 16, 36, 0, 42, -20, 78, -72, -8, -48, 48, 30, 0, -2, 56, -48, -96, -8, 0, -34, 64, 0, -56, -42, -102, 4, 38, -72, 16, 8, 0, 0, 84, -6, -94, 52, -90, 14, 36, 0, -6, 0, -48, -2, -24, 6, 132, -32, -36, -14, 58, -24, 88, 4, -30, -60, -36, 0, 36, 56, 30, 36, 0, 0, 0, 24, 0, 6, 6, -12, 44, -12, -6, 16, -4, -36, -4, 28, -30, -46, 72, -6, -52, 22, 0, 2, -64, 0, -30, -10, 78, -36, 46, 0, 52, 30, 60, -48, -24, 18, 12, 6, 72, -20, -144, 12, -24, -30, 48, 34, 0, 0, 60, 16, 6, -36, 6, 6, 0, -92, 0, 4, 98, -24, -76, -50, -96, -6, -26, 36, -16, 10, 54, 0, -12, 42, -56, -56, 0, -96, 60, 24, 12, 0, -60, 12, -6, 0, 12, -6, 120, -12, -108, 6, -56, 0, 0, -12, -22, -6, 92, 32, 36, -36, 74, 0, 44, -22, 0, -26, 24, -84, -62, 2, 0, -22, -88, 0, -24, 0, 36, 14, -66, 18, 80, 44, 6, -4, -44, -6, 36, 12, 0, -4, -72, -42, -72, -18, -6, 32, -114, 0, 0, 6, -12, -20, -72, -48, -24, 42, -126, 2, 24, 0, 6, -42, -102, -24, -16, 0, -96, -16, 60, -8, -36, 0, 26, -40, 0, 10, -96, -42, -100, 16, -24, 0, 30, 0, -40, -6, 84, -16, 42, -12, -104, 8, 0, 92, 0, 36, -12, 8, 6, 6, -12, 0, 8, 8, 12, 20, -2, 12, 92, -20, 18, 30, -72, 48, -6, 20, 54, 0, -46, 0, 2, -16, -18, -14, -26, 60, 16, 48, 0, -2, 56, 24, -54, -20, -18, 10, -10, -36, -70, 2, 0, 80, -20, 30, -8, -42, 0, -16, -12, 24, -96, -44, 0, 18, -16, 0, 64, -28, -114, 0, 166, 12, 80, 0, -18, -6, 16, 48, 82, 12, -102, 18, 40, 0, 24, 18, 72, -60, -16, 12, -64, 16, 0, -6, -26, -72, 0, -2, 6, -12, 28, 18, 12, 0, -12, -40, -126, 48, -60, 0, 0, 36, -84, -24, -14, -74, 48, 88, -50, 0, -10, 12, -12, 24, -22, -6, -10, -28, 72, -4, 60, -30, 4, -76, -12, 48, 110, 0, -4, -20, -108, 32, 0, -36, -36, -6, 0, -104, 24, 6, -48, 92, -42, 24, -14, 36, -54, 30, 24, -14, -12, -12, -38, -4, 0, 0, 6, -30, 64, -6, -24, 20, -28, 0, -6, 26, 42, -10, -78, -42, -12, 48, -18, 80, 16, 12, 26, -56, 0, -20, -2, 0, 50, 2, -48, -12, 0, -24, -38, -2, 0, 16, 84, -42, -8, -12, 30, 92, -42, 0, -72, 0, 12, -34, 4, -24, -40, -12, 0, 8, 16, -48, 48, 26, -6, 6, -12, 0, -64, 14, -60, 128, 0, -24, 0, -34, 0, -24, 56, 6, 82, 10, 60, -80, -14, 0, 56, 32, -126, 4, 0, -54, 32, 18, 0, 78, 98, 0, 202, 36, 60, 0, -48, 36, 24, -2, -120, 0, 12, -12, -44, -48, 0, 18, 16, -24, -6, -30, -54, 28, 0, 0, 72, -10, -6, -44, -18, -30, 74, 2, 72, -28, 40, 60, -10, -74, -60, 20, 72, 0, 4, -42, 72, 0, -48, -42, -48, -58, 0, 6, 66, 48, -6, 34, 12, 24, 164, -18, -4, 34, -150, -6, -2, -6, 16, -8, 0, -54, -18, 6, -118, -32, -60, -32, 4, 0, -18, -32, 24, -50, 12, 30, 20, 12, 36, -24, -42, 60, -68, 0, -84, 74, -78, 0, -56, 88, -60, -28, -78, 24, 124, -8, 0, -8, 12, 6, -42, 8, -72, -6, -124, -72, 0, -46, 6, 16, -92, -24, -6, -12, 0, -24, 50, 12, 32, 0, -60, -8, 84, 0, 86, -20, -120, -4, -26, 0, 28, -32, 54, 2, 72, 12, -56, -40, 0, 22, -126, 0, -26, 14, 12, 82, -30, 0, 44, -54, 0, 0, 0, -6, 8, -56, 6, -30, -4, -36, -36, 48, 0, -18, 130, -42, -52, -42, 0, -42, 88, -30, -34, -20, 78, 0, 64, 0, 42, 30, 138, -8, -22, 0, -14, -84, 36, -28, -24, -90, 90, 22, 12, -16, -32, 0, -30, 102, 0, -8, -80, 72, -84, 10, 0, -36, -150, 24, 16, -48, 72, 6, 46, 0, 192, 4, 96, -60, -16, -24, 92, 0, 0, 8, -38, -24, 72, -88, 36, -28, -144, 0, 48, 6, 42, 14, -40, 36, 8, -4, -72, 36, 40, 12, 0, 18, -36, 16, 30, 0, -48, -50, -18, 20, 66, -12, -100, 66, 0, -16, 12, 42, 48, -14, 36, -12, 48, 0, 48, -12, -108, 18, 0, 24, -48, 4, 0, -18, 10, 12, -4, 0, 0, 2, 0, 0, -78, 2, 30, 46, 0, 36, 28, -16, 126, -32, 12, -54, -44, 24, 84, 88, -112, 0, -104, -80, 36, -34, 0, 18, 0, 6, 0, 0, 44, 48, 138, 28, 48, 30, -14, -126, -140, 18, 78, 72, -152, 6, 18, -28, 0, 12, -134, 12, 18, -24, 0, -4, -6, 0, -52, 28, 24, -2, 40, 0, -108, -24, 18, 0, 0, 0, 28, -40, -42, -24, 130, 0, 0, 0, -60, -78, -168, -24, -36, 68, 0, -24, 88, -24, -56, 40, -18, 12, -6, 18, -92, 16, -6, 28, -6, 24, 0, -4, 0, -90, -8, -36, -76, -74, 24, -4, 28, 0, 8, -74, -60, -48, 32, 18, 44, -96, -72, -6, 40, 0, -104, 12, 6, 48, -84, 0, 32, 24, -72, 44, -28, 90, 30, 8, 0, -28, -72, -12, -24, -72, -96, 66, 0, 36, -62, -18, -78, -6, 4, -60, -38, -28, 0, 22, -68, -42, -68, -10, -78, 72, -28, 0, 48, 38, 48, 0, 96, 12, 2, -22, 0, -24, -20, 48, -102, -24, 90, 2, -84, 0, 96, -32, -24, -6, 68, -6, -20, 16, 0, -12, 50, -24, -12, 14, 24, 54, -26, 0, 12, -14, -54, 6, -34, 96, -4, 14, 0, -12, -8, 12, 22, 0, -48, 40, 112, 0, -26, 6, -96, -46, -52, 36, 14, -48, 72, -16, -8, -24, 16, -32, -72, 14, -24, 0, 0, 50, 180, 10, -54, -108, 124, 8, 0, 28, -60, 6, 50, 4, -6, 2, 80, -54, 18, 24, 54, -20, -124, 0, -116, 44, 0, -72, 0, -36, -74, 42, 120, -2, -60, 0, 14, -6, -12, -16, -60, 0, 16, 18, -36, 40, 0, 6, -30, 28, 72, -60, 70, 0, -46, -36, -6, 24, -44, 42, 32, -2, 0, 2, -26, -60, 70, -54, 60, 0, 82, 36, -82, 20, -132, 12, -72, 30, -42, -4, 0, -42, -26, -42, -88, -114, 126, -36, 6, 0, -92, -24, 0, 34, 90, 0, 128, 8, -18, 10, 56, -36, 6, -6, 78, -6, 22, 0, -8, 14, -12, -16, 48, 6, 8, 0, 0, 12, -32, 30, 98, -76, 48, -32, -30, 18, -62, -22, 30, -52, -160, -36, 4, -24, 0, 30, -114, -30, 0, 54, 18, -36, 68, 0, 94, 12, -84, 12, -28, 24, -46, 24, 0, -8, 42, -18, 24, 56, 6, 20, 118, 0, 40, -6, 36, 18, -12, -48, -46, -22, 0, -52, 30, -24, 120, -16, -126, 28, -24, 54, -34, -48, 42, 0, 0, 48, -12, 42, 0, -56, 80, 24, 24, -4, 36, -6, 18, 0, -32, 26, -72, 12, -6, 12, -114, -46, 54, 0, 22, 12, -32, 52, 0, 14, 4, 0, 192, -62, 0, 36, -142, -54, 176, 0, 0, -34, 78, -36, -56, 16, 0, -12, -42, -36, -70, -6, -108, -12, -18, -6, 112, 36, 0, -42, -72, -60, 64, 22, -30, -34, -12, 0, 72, 0, 144, 36, -12, 0, 30, -20, 0, -24, 108, 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": "5290.2.a.f", "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, 1], [1, 0], [1, 0], [0, -1], [1, 1], [-1, 0], [0, 0], [-1, 0], [-2, -2], [0, 1], [2, 2], [-1, -1], [0, 1], [1, 0], [-3, -2], [0, 0], [-2, -1], [1, 0], [3, 1], [2, 2], [0, 0], [0, -1], [1, 0], [-2, -2], [0, -3], [1, 1], [-3, -1], [0, -1], [-7, 1], [-1, 0], [-6, -2], [3, 2], [1, 1], [0, 0], [0, -2], [2, 1], [6, 2], [-1, 0], [6, 2], [-3, -1], [1, -4], [-2, -2], [0, 0], [0, 0], [-1, -7], [0, 1], [-3, 2], [-1, 0], [-6, -3], [2, 2], [3, 1], [0, 3], [-2, -2], [-1, -1], [-3, -2], [3, 1], [-7, 0], [0, 1], [-4, 4], [7, -1], [0, 0], [1, 0], [2, 2], [6, 2], [-1, -4], [-3, -2], [0, 0], [-1, -1], [3, 7], [0, 0], [0, -1], [0, 2], [0, 1], [-2, -1], [-8, -4], [-6, -2], [-3, 1], [1, 0], [-9, 0], [-6, -2], [-11, -4], [3, 1], [-3, -2], [-1, 4], [-3, -3], [2, 2], [8, -2], [0, 0], [8, 4], [0, 0], [3, -7], [1, 7], [-2, -1], [0, -1], [8, 4], [3, -2], [0, 0], [1, 0]]}