# Stored data for newform 3381.2.a.t, downloaded from the LMFDB on 19 April 2024.
{"label": "3381.2.a.t", "space_label": "3381.2.a", "level": 3381, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953597237, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 732808235378501967, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-5, 0, 1]], [5, [-4, -2, 1]], [11, [-4, 1]], [13, [-20, 0, 1]]], "qexp_display": "q-\\beta q^{2}+q^{3}+3q^{4}+(1-\\beta )q^{5}-\\beta q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13524, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 26.9974209233949, "hecke_ring_index": 2, "level_radical": 483, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [3381, 1, [2255, 346, 442], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 23], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.214", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "63.157", "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], [7, -1], [23, -1]], "trace_display": [0, 2, 2, 0], "traces": [0, 2, 0, 2, 6, 2, 0, 0, 0, 2, 10, 8, 6, 0, 0, 2, -2, 10, 0, -10, 6, 0, 0, 2, 0, 2, -20, 2, 0, 0, 10, 4, 0, 8, 10, 0, 6, 0, 10, 0, 10, 4, 0, 2, 24, 2, 0, 8, -2, 0, 20, 10, 0, -6, 0, 8, 0, -10, -20, -8, 6, 0, -20, 0, -26, -20, 0, 6, 30, 2, 0, -16, 0, 4, -20, 2, -30, 0, -20, 6, -2, 2, -40, -8, 0, 20, 30, 0, 0, -2, 10, 0, 6, 4, 0, 0, 0, -8, 0, 8, 6, -4, 10, 18, -20, 0, 10, 16, 6, -12, 40, 0, 0, 10, 10, 2, 0, 0, -40, 0, 10, 10, 20, 4, 12, 12, 0, 12, 0, 2, -20, -16, 24, 0, 10, 2, 10, 2, 0, 0, 0, 8, 0, 0, -2, -20, 40, 0, 0, -10, 20, -32, 10, 10, 0, -16, 0, 16, -30, -6, -30, 0, 0, -12, 12, 8, 0, -8, 0, 14, 60, -10, 6, 0, -20, 0, -8, -8, -10, 24, 6, -12, 0, 0, 0, -20, -20, 40, 24, 0, -40, 12, -26, 8, 20, -20, 0, 8, 0, -6, 20, 6, -40, 0, 30, -36, -10, 2, 0, -40, 0, 36, -18, -16, -40, 32, 0, 0, 40, 4, 24, -20, -20, 16, 0, 2, 50, 36, -30, 12, 10, 0, -20, -28, -20, 8, -24, 6, 0, -8, -2, -48, 0, 2, 0, 0, -40, -20, -20, -8, -20, 12, 0, 8, 20, 20, -18, 44, 30, 0, -60, 0, 40, 4, 0, 4, 0, -2, 18, -8, 10, 44, -10, 0, 10, 8, 6, -4, -40, 4, 0, 18, 0, 2, -48, 0, -80, 0, 0, 26, -20, -8, 12, -2, 0, -48, -20, 8, 30, 0, 6, 0, 0, -4, 10, 20, 10, 4, 0, 18, 0, -32, -20, -28, 20, 0, 18, 32, 10, 0, -26, 16, 0, -40, 6, -40, -60, -12, -40, 0, 40, 20, -24, 0, 40, 16, 0, 16, 0, 10, 60, 16, 10, 0, 30, 2, 20, 16, 0, 56, 0, 0, 0, 8, -40, -16, -6, 0, -40, 4, 10, 22, -80, 10, 0, 44, 20, -38, -2, 4, -20, 0, 12, 32, 40, 12, 0, 40, 0, 2, 0, 12, 20, -60, 0, 0, -60, 2, -24, 10, -20, 10, 0, -16, -60, -24, 24, 4, 30, 0, -2, -18, 10, 40, -12, 2, 0, 0, 10, -8, -20, 2, 54, 0, 0, -8, 60, 0, 40, 8, 0, -44, 20, 8, 10, 30, 0, 0, 48, 0, 40, 16, -2, -20, 0, -20, -36, -10, 40, -16, 40, 0, -100, -16, 0, -12, -80, -10, 0, 12, 20, 16, 30, -32, 20, 0, 10, 8, 40, 10, 6, -16, 0, -8, 0, -16, 0, 4, 0, 0, 40, 16, -40, 8, -30, 10, 0, -6, -40, 32, -30, 40, -20, 0, 30, 12, 0, 48, 20, -12, 0, 80, 12, -20, 100, 8, -4, 0, 0, 20, 36, -8, -20, 56, 0, -44, 0, 14, 36, 24, 60, 0, 0, -10, 0, 8, 6, 32, 0, 0, -20, 62, -20, 18, -48, 0, -20, 0, -8, 2, -20, -8, 0, 80, -10, -24, 10, 24, -20, 0, 6, -40, 20, -12, -30, 28, 0, 36, 6, 0, 80, -20, 0, 0, -80, -20, 0, -62, -20, -60, 0, 40, -70, -12, 24, 60, 30, 0, 0, -26, -40, 46, 0, 12, 0, 2, -26, -24, 100, 8, -60, 0, 20, -24, 40, -20, 30, -16, 0, -40, -80, 8, 0, -68, 0, 0, -30, -6, -20, -24, 20, 40, 0, 6, -96, 10, -40, -24, -30, 0, 20, 0, 30, -72, 20, -36, 0, -54, -10, -22, -48, 2, -40, 0, 0, -18, -40, -40, 48, -20, 0, -10, -30, 36, 60, 32, -18, 0, -80, -16, -70, 22, -40, -18, 0, 32, 0, -24, 0, -32, -20, 0, -36, -28, 40, 24, -4, 4, 0, 28, 24, 32, -60, -20, 0, 0, -20, 0, -24, 16, 40, 0, 0, 32, 100, 2, 42, 10, 50, 0, 60, 36, -80, -40, -30, 12, 0, 12, -2, -20, 10, 36, 0, 0, 80, -40, -20, -20, 20, -28, 0, 46, -20, -20, -104, 8, -60, 0, -24, -12, -80, 6, -10, 4, 0, -80, 72, -8, -20, -8, -2, 0, -100, -48, -36, -40, 0, -34, 0, 2, 60, 40, 0, -44, 30, 0, 0, 24, -40, 0, -60, -20, 0, -4, -20, 20, -20, -8, 120, 0, -20, 42, -8, 12, 0, -32, 0, 44, -130, 8, -40, -40, 20, 0, 36, 20, -20, 80, -18, 20, 0, 44, 24, -86, 30, -36, 20, 0, -70, -60, -60, -64, 10, 0, 0, 36, 40, 14, 24, 4, 0, 0, 0, -40, 0, 4, -18, 6, 0, 40, -60, -2, -130, 16, 18, 0, -40, -8, -40, -24, 10, 20, 0, 44, -80, -72, -10, 20, 60, 0, -108, 60, 10, -60, -10, 8, 0, 44, 6, 24, -40, -4, 0, 0, -40, 32, -120, 4, 80, 52, 0, -18, 40, 18, 108, 14, 0, 0, 6, 2, 110, 0, -48, -44, 0, 0, -40, 68, -80, 32, 96, 0, 0, -8, 0, 20, 80, 26, 0, 24, -20, -20, 40, -8, 10, 0, 12, 84, -80, -2, -8, 14, 0, 12, -60, -48, 120, -80, -20, 0, -20, 8, 48, -40, 30, -16, 0, 0, -40, 40, 6, -20, -160, 0, 50, -92, 0, 38, 108, -4, 0, 8, 10, -32, -20, 20, 36, 0, 10, 30, 10, 4, -60, 0, 0, -40, 40, 18, 60, 4, 0, 0, -84, -32, 100, 80, -20, -28, 0, -28, 24, 18, 20, 4, 8, 0, 120, -56, 18, -80, -90, 32, 0, -34, 10, 32, -24, 0, -80, 0, -26, -14, 0, 16, -144, -52, 0, -60, 0, -40, -20, 28, 6, 0, 0, -40, 0, -6, -60, -8, 0, -12, 0, 8, -40, -52, -100, 0, -60, 2, 40, -12, 60, 20, 0, 24, -24, -40, 100, 0, -20, 0, 40, -80, 36, 16, 40, 40, 0, 56, -60, 16, 24, -28, 0, 0, 20, 10, -20, 20, 60, -20, 0, 16, 86, -76, 10, 60, 132, 0, 80, 92, 30, -40, 0, 2, 0, 20, 20, -4, 20, 16, -10, 0, 0, 0, 110, 56, 40, -22, 0, -72, 12, 0, -80, 56, 0, 0, 0, 8, 12, -20, -40, 90, 0, -16, -40, -32, -6, -48, 40, 0, -6, 40, -40, 62, -24, 4, 0, 0, 10, 8, -20, 22, 132, 0, -80, -20, -130, 10, -20, 76, 0, 44, 20, 44, 10, 0, 20, 0, 24, -38, 100, -24, -2, -120, 0, 4, -12, 30, -20, -16, -40, 0, 50, -64, 12, -100, -20, 32, 0, 0, 40, -26, 54, 12, -60, 0, 0, 28, 100, 40, 6, 72, 0, 56, 16, 2, -10, 40, 0, 0, -30, 12, -80, 52, 20, 40, 0, -60, 20, -64, 0, -52, -20, 0, 78, 20, -60, 20, -20, 2, 0, -56, -24, -28, 40, 10, -4, 0, -20, 58, -6, 10, -40, 8, 0, 64, 120, -16, -144, -4, -60, 0, 60, -24, 0, -8, 24, 80, 0, 4, 30, 58, 30, -48, 0, 0, -40, -48, -2, 4, -100, -18, 0, -68, 10, -80, 0, 40, 50, 0, -12, -44, -120, 2, 130, 2, 0, -6, 60, 0, -80, 8, 10, 0, 20, -8, 12, -22, -20, 28, 0, 2, -30, 80, 54, 4, -90, 0, 0, 60, 0, 40, -96, -8, 0, -60, 60, 32, -60, 0, -84, 0, 40, -8, 20, 8, -100, -16, 0, -40, 50, -44, -6, 8, 20, 0, 96, 8, 80, 88, 10, -20, 0, 30, 0, -16, 0, -18, -18, 0, -170, 8, 48, 44, 130, 0, 0, 60, 40, 20, -120, 16, 0, 0, -2, 68, -160, -20, -120, -4, 0, -86, -60, -20, 40, -56, -36, 0, -40, -10, 120, 80, 40, -16, 0, -16, -100, -32, 40, 68, 20, 0, 60, 14, -100, 56, 8, -16, 0, -48, 0, -56, -20, -12, 40, 0, -80, 20, 48, -10, 80, 0, 0, -28, 60, 12, 48, 80, 20, 0, 0, 16, -190, 64, 30, -8, 0, -32, -20, 88, 20, 0, 48, 0, 0, 96, 10, -34, 20, 8, 0, -92, 40, 48, -90, 10, 60, 0, 6, -48, 100, -16, 20, -84, 0, 20, 48, -8, -40, 80, 0, 0, -180, -16, 168, 48, 0, 38, 0, 4, -10, 0, 0, -52, 100, 0, 0, -112, 40, -40, 24, 16, 0, 32, -40, -80, 120, 8, -48, 0, -30, -26, 2, 10, -20, 56, 0, 88, -80, -6, -40, 6, -40, 0, 12, 32, 0, -32, -30, -64, 0, 40, 66, 126, -20, -58, -80, 0, -20, 48, 30, 8, -70, 12, 0, 16, 0, -30, 132, 48, 160, 0, 20, 28, 0, -12, -114, -100, 0, 66, -26, 80, 40, -88, 12, 0, 120, -20, -20, -80, 100, 42, 0, 8, 100, 104, -4, -32, -20, 0, 96, 34, 0, -20, 40, 20, 0, 80, 36, -60, -130, -8, 0, 0, -20, 8, 120, 56, -160, -48, 0, -20, -80, -44, 6, 80, 0, 0, 0, 14, 100, -92, 36, 40, 0, 24, 20, 0, 60, 4, -180, 0, 80, 24, 0, -20, 120, -10, 0, 6, 0, 44, -60, 8, -30, 0, 6, -40, 20, 32, 8, 60, 0, -72, 30, 0, 220, 72, -20, 0, 0, 62, 30, -68, -20, 60, 0, 18, 100, 8, -48, 0, -30, 0, -60, 40, -20, 14, -72, 0, 0, 24, -8, 92, 0, 2, 12, 0, -20, -60, 30, -8, 70, -80, 0, 84, 40, 80, -26, 42, -10, 0, -54, -24, 160, 20, 10, 104, 0, 24, 120, -20, -20, -40, 4, 0, 140, 0, 6, 4, -60, -40, 0, 40, 20, 18, 0, -12, -120, 0, -30, -16, -140, 28, -24, -88, 0, -40, -20, 36, 80, -32, 6, 0, -20, 0, -18, -20, 80, -40, 0, -20, 60, -40, 0, -88, 100, 0, -24, -128, -80, 22, 140, -20, 0, 64, 0, -44, 0, -62, 40, 0, -20, 26, 24, -60, 60, 4, 0, 86, 0, 40, -132, 116, -70, 0, 20, -12, 70, 0, 24, -40, 0, 60, -30, 12, 30, 26, 90, 0, -20, -80, 0, -64, 0, -26, 0, -86, -40, 80, -16, 46, -40, 0, 0, -60, 40, 12, 40, -30, 0, -82, 48, 2, 0, 64, -26, 0, 20, -24, -60, -16, 100, 96, 0, 8, -120, 0, -60, 60, -60, 0, 12, 76, 20, 18, -30, -24, 0, 80, 40, -24, 40, -20, -48, 0, 30, 42, -120, -16, 150, -116, 0, -52, 60, -40, -100, -40, -80, 0, -48, 8, -40, -16, 0, -76, 0, -68, -36, -20, 0, -16, -80, 0, 40, 0, -30, -36, 80, -6, 0, -48, -20, -16, 36, -24, -40, 0, 20, -100, 20, 40, 48, -78, 0, 80, -10, 6, -140, 0, -96, 0, 90, 10, 20, 6, -40, 40, 0, -24, 200, 48, -30, 84, 0, 0, 24, 64, 20, -74, 40, 0, 0, -8, 30, -32, 170, -72, -2, 0, 20, 60, -48, -36, 160, 36, 0, 6, -20, -54, -24, -20, -10, 0, 0, -22, -120, 56, -48, -72, 0, 2, 0, 12, -40, 12, 12, 0, 240, 112, 0, 48, -120, -18, 0, -126, -40, -16, 40, -40, -150, 0, 48, 40, -40, -20, 120, 96, 0, -40, 24, -10, -120, -128, -30, 0, -40, 36, 30, 14, 60, 0, 0, 32, -130, 88, -18, -8, 80, 0, -40, 48, -80, -80, 96, -16, 0, -20, -70, 100, -80, 22, 120, 0, -40, 16, -20, -18, -20, -44, 0, 40, -100, 32, -10, -60, 0, 0, 36, -24, 140, -20, 0, -60, 0, -32, 144, -14, -20, -66, -60, 0, 130, 20, -36, -100, -40, -28, 0, -20, 40, 0, 240, 24, 120, 0, -4, 96, -20, 4, -60, -68, 0, -54, 100, 28, 30, -56, 24, 0, -20, 32, -52, 4, -60, -24, 0, -20, 0, -48, 0, 60, 100, 0, 60, -78, -20, -62, -12, 0, 0, 48, -24, -148, -240, 16, -20, 0, 40, -14, 168, 0, -80, 0, 0, -88, -100, 32, -132, 8, 100, 0, 0, 2, 0, 64, 42, 28, 0, 10, -12, -120, 50, -80, 72, 0, 180, -100, 60, -40, 120, 36, 0, 52, -80, -2, 0, -40, 0, 0, -30, 88, -60, 12, 0, 50, 0, 0, 24, 12, -60, 24, -2, 0, 60, -20, 96, -70, 10, 100, 0, 36, 100, -8, 0, -8, 100, 0, 60, -78, 80, -32, 186, -40, 0, 24, -20, -128, -160, -20, 54, 0, 20, 88, 16, -28, 90, -112, 0, 48, 0, 46, -20, -4, -20, 0, 0, -20, 200, 24, -104, 40, 0, 8, 6, -80, -60, 120, -20, 0, -80, 32, -24, 40, 30, -12, 0, -4, -80, -42, 240, 6, 80, 0, -10, 28, 100, 4, -72, -36, 0, -96, -30, -80, 0, 0, 72, 0, 50, -8, -20, -82, -20, 16, 0, -8, 80, 80, -2, -16, 0, 0, -120, 60, -100, 32, 20, -48, 0, -80, -36, -52, 100, -40, -70, 0, 0, 154, 84, -34, -20, 80, 0, 0, 160, 2, 108, -24, 60, 0, -2, 40, 140, -96, 0, 0, 0, -44, 80, -32, 30, 88, -60, 0, -120, -56, 0, -62, -200, 24, 0, 106, -40, 104, -80, 0, 30, 0, -60, 76, -160, -20, 0, -22, 0, -40, -186, -4, 0, -8, -20, 0, 0, 20, -180, 44, -20, -24, 0, -8, 160, -8, 120, -28, 10, 0, -70, -40, -20, 118, -36, 42, 0, -144, -8, -40, -40, 12, 180, 0, 0, -72, 30, -32, -40, 96, 0, 24, 200, 44, 0, 62, -130, 0, -78, 8, 80, 24, -40, -8, 0, -40, 138, -12, 20, -86, 0, 0, 100, 60, 36, 104, -40, 20, 0, 6, -20, -50, 6, 80, 120, 0, -18, -76, 80, 20, -72, 60, 0, -118, 100, 44, 20, 32, 24, 0, -100, -86, 20, 144, 30, -4, 0, -36, 80, 80, 20, 20, -140, 0, -72, 118, -70, 104, -120, -60, 0, 96, -60, -64, -10, -64, 30, 0, 10, 108, -48, 0, 80, -40, 0, 160, -160, 36, -120, -42, 40, 0, -80, 14, 40, -40, 24, 128, 0, 4, 0, 18, 0, -16, -204, 0, 80, -80, 0, -56, -40, -40, 0, -40, 0, 18, 10, 4, 10, 0, -18, -8, -80, 6, -20, -32, 0, -48, -72, 40, 160, -36, -60, 0, -80, -2, 120, 40, -130, 0, 0, 16, -260, 4, 18, -40, -80, 0, 32, 16, -40, 144, 30, -8, 0, -96, -40, 32, -40, -24, -72, 0, 10, -80, -70, 20, 210, 48, 0, -120, 10, 44, 20, 40, -80, 0, 0, -72, -120, 24, -10, 72, 0, 20, -216, 64, 60, 80, 20, 0, 10, -12, -108, 16, 180, 60, 0, -120, 10, 72, -162, -60, 0, 0, -10, -108, -80, 8, -66, -124, 0, -20, 16, 44, 220, -40, 6, 0, 200, 24, -40, 120, -40, -24, 0, -4, -20, 120, 0, 144, -20, 0, -54, -80, -40, -42, -40, 32, 0, -12, -120, 120, 40, 4, -16, 0, 80, 96, -60, 52, 40, 48, 0, 100, 80, -18, -30, -84, 40, 0, 90, 18, 40, -32, 108, -20, 0, 14, 60, -128, 0, 20, 96, 0, -120, -64, 6, 4, -20, 2, 0, 38, 110, -142, -80, 0, 180, 0, -48, 60, 90, -44, 50, 120, 0, -112, 66, 0, 120, -160, -40, 0, 220, 68, -54, -16, -80, -2, 0, 32, -40, 88, 96, 20, -60, 0, 0, 32, 0, -60, -72, -8, 0, 48, 0, 12, 0, 20, -96, 0, 80, 10, -20, 26, -120, 0, 0, 52, -130, 24, 12, 30, -20, 0, -84, -20, 160, 128, 40, -24, 0, -8, 72, 6, 10, 60, -52, 0, 40, 0, 12, -32, 0, 84, 0, -38, -80, -80, 84, -2, 240, 0, -8, -40, -40, 14, 96, 2, 0, -12, -60, 12, -50, -192, -60, 0, -40, -48, 0, -44, 120, 46, 0, -80, 0, 96, -20, 40, 40, 0, 0, 100, -20, 92, 8, 8, 0, -64, 48, -44, -180, -40, 40, 0, 30, 118, 0, -16, -120, 0, 0, -120, -60, 0, 96, 128, -40, 0, 100, 40, -80, -72, 6, -80, 0, -20, -14, -60, -160, -108, 30, 0, 240, -96, 50, 8, -40, -92, 0, -80, 0, -66, -180, 38, -60, 0, 108, 68, -80, -4, -80, -50, 0, -110, -120, 8, -80, 56, 10, 0, 0, -32, 36, 12, -20, -40, 0, 20, 40, -28, 36, -108, -80, 0, -26, -8, 10, 80, -60, 30, 0, 16, 10, 48, 180, 4, 108, 0, -60, 54, 0, 0, -100, -120, 0, -32, -180, -40, 80, -118, 40, 0, -120, 18, -160, 10, 60, -12, 0, 4, -60, 92, 0, 0, 20, 0, 80, -80, -84, -124, 50, -32, 0, 0, 100, -22, 138, 80, 20, 0, -20, -78, 20, -28, -60, -40, 0, -72, -72, -28, 20, 8, 24, 0, -40, 18, -60, 110, 20, 176, 0, 4, 40, 80, 8, 64, 120, 0, -36, -116, 120, 0, -80, -56, 0, 48, 18, -36, 50, -80, 30, 0, -90, 22, 12, 32, 0, 16, 0, 24, -100, -34, -240, -16, 10, 0, -24, 32, -50, 0, -24, 160, 0, 0, -20, 70, -80, 12, -24, 0, -40, 8, -26, 36, 160, -14, 0, -44, 0, 28, -100, 16, 230, 0, -144, 16, -30, -52, 12, -18, 0, 160, -120, -60, -40, 12, 0, 0, 60, -40, -102, 170, -20, -32, 0, 28, -80, 16, 6, 80, 110, 0, 60, 12, 0, 60, 120, -40, 0, 8, 0, 80, 20, -6, -132, 0, -60, -56, 30, -8, -100, -72, 0, 20, 70, -12, 0, 80, 0, 0, 72, 8, -120, -40, -40, 12, 0, -52, 0, -68, -100, -32, 20, 0, 20, 52, -60, -68, -90, 2, 0, 116, 40, -20, -12, -12, 40, 0, 60, -80, 140, 20, 60, 176, 0, -60, -20, 24, 130, 20, -24, 0, -20, -40, -40, -152, 100, -64, 0, 0, -40, -136, -20], "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": "69.2.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], [0, -1], [1, 0], [3, 0], [1, -1], [0, -1], [0, 0], [0, -1], [1, 0], [5, -1], [4, 0], [3, 0], [0, 2], [0, 0], [1, -1], [-1, 0], [5, -1], [0, -1], [-5, -1], [3, -3], [0, 0], [0, -4], [1, 0], [0, -1], [1, -2], [-10, 0], [1, 0], [0, 0], [0, 2], [5, -1], [2, 2], [0, 3], [4, 0], [5, -5], [0, 0], [3, 0], [0, 2], [5, 5], [0, 2], [5, -1], [2, 4], [0, 0], [1, -3], [12, 0], [1, -1], [0, -1], [4, 0], [-1, 0], [0, 0], [10, -1], [5, -1], [0, 6], [-3, -1], [0, -1], [4, -4], [0, 0], [-5, -1], [-10, 0], [-4, 4], [3, -3], [0, -2], [-10, -2], [0, 0], [-13, 0], [-10, 2], [0, -4], [3, -1], [15, -3], [1, 0], [0, 0], [-8, 0], [0, -1], [2, -4], [-10, 0], [1, -2], [-15, -3], [0, 0], [-10, 0], [3, 3], [-1, 1], [1, 0], [-20, -2], [-4, 0], [0, 0], [10, -6], [15, -1], [0, 2], [0, -4], [-1, 1], [5, -1], [0, 0], [3, 0], [2, 2], [0, -4], [0, 4], [0, 3], [-4, -2], [0, 0], [4, 0], [3, -6]]}