# Stored data for newform 3675.2.a.t, downloaded from the LMFDB on 24 April 2024.
{"label": "3675.2.a.t", "space_label": "3675.2.a", "level": 3675, "weight": 2, "hecke_orbit": 20, "hecke_orbit_code": 85568392953597531, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 129541756392838200, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 2, 1]], [11, [-8, 0, 1]], [13, [-4, 4, 1]]], "qexp_display": "q+(-1+\\beta )q^{2}+q^{3}+(1-2\\beta )q^{4}+(-1+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14700, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 29.34502274282054, "hecke_ring_index": 1, "level_radical": 105, "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": "0.031", "prec": 17}, "analytic_rank_proved": true, "char_values": [3675, 1, [1226, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "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": "1.970", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.663", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "66.498", "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], [7, -1]], "trace_display": [-2, 2, 0, 0], "traces": [0, 2, -2, 2, 2, 0, -2, 0, -6, 2, 0, 0, 2, -4, 0, 0, 6, -4, -2, -4, 0, 0, -8, 4, -6, 0, 12, 2, 0, 12, 0, 4, 6, 0, 20, 0, 2, -4, -4, -4, 0, -12, 0, -16, 16, 0, -20, 0, 6, 0, 0, -4, -20, 0, -2, 0, 0, -4, -12, -16, 0, 0, 20, 0, -14, 0, -8, 0, -36, 4, 0, 0, -6, -28, -12, 0, 12, 0, 12, -16, 0, 2, 28, 8, 0, 0, 16, 12, -8, -12, 0, 0, 36, 4, -16, 0, 6, -4, 0, 0, 0, -4, 20, -24, 20, 0, -24, 12, 2, 12, 0, -4, 0, 0, -4, 0, 12, -4, 0, 0, 0, -6, 0, -12, -44, 0, 0, -16, 10, -16, 0, 0, 16, 0, 0, 0, 28, -32, -20, 20, 0, 0, 8, -16, 6, 0, 20, 0, 28, -4, 0, 0, 4, -4, 0, 0, -20, -4, 16, 0, 0, 0, -2, 24, -44, 0, 8, 0, 0, -2, 0, -4, -16, 4, -12, 0, 0, -16, -20, -8, 0, -16, 0, 0, -28, 0, 20, -32, 32, 0, 0, -24, -14, -20, -20, 0, 0, 24, -8, -4, 0, 0, 20, 0, -36, 0, 24, 4, -12, 16, 0, -8, 48, 0, 20, 0, -6, 0, -12, -28, 0, 40, -12, -8, 0, 0, 8, 24, 12, 8, 0, 0, -36, -24, 12, 0, 16, -16, 0, 24, 0, 32, 6, 2, 0, 0, 28, -8, 12, 8, 0, -48, 0, 32, 48, 0, -26, -12, 16, 0, 0, 12, 16, 28, -8, 0, 0, -12, 0, -12, 0, 28, -12, 0, 24, 0, 36, -20, 4, 4, 0, 36, -16, 0, -16, 0, 32, 0, 6, 38, 0, -4, -12, -36, 0, 0, -4, 0, 20, -40, 0, 0, 48, -4, -12, 0, 20, -24, 0, -24, 0, -8, 20, -12, -36, 0, -16, -16, -24, 0, 0, 12, 0, -24, 2, 0, -24, 12, 52, 0, 0, -8, -24, -4, -32, 0, 0, -20, -30, 0, 0, -48, -4, 0, 48, 0, -68, 12, 12, -32, 0, -4, -8, -28, 0, 0, 52, 0, 0, 8, 0, -14, 0, -6, 0, 0, 0, 8, 12, -12, 0, 0, -44, 4, 48, 0, -16, -24, 0, -8, 0, -16, 16, 0, 10, 0, 36, -16, 44, -12, 0, -72, 0, 0, 0, 0, 16, -44, -4, 0, 0, 60, 0, 40, -36, 0, 0, 32, 28, -24, 0, -32, -24, 0, -20, 0, -4, 20, 0, 24, 0, -12, 24, 0, -24, 0, 8, 0, -52, -16, 0, -16, 6, 20, 0, 0, 12, 24, 20, 44, 0, 0, -88, -36, 28, 0, 56, -4, 0, 20, 0, -32, -16, 0, -72, 0, 4, -44, -40, -4, 0, -4, 0, -32, 36, 0, 32, 8, -20, 0, 0, -4, 32, 0, 16, 0, 0, 0, 16, 40, 0, -24, -48, 0, -6, 0, -2, 8, 0, 24, 0, 8, -44, -24, 8, 0, 12, 0, 8, -24, 0, 0, 64, 32, 0, 0, -48, -2, -80, 68, 0, 0, 54, -4, -4, 0, -16, 32, 0, 4, 0, 12, -12, 16, -32, 0, 4, 88, 0, 26, 0, -16, 0, 56, -20, 0, 0, -8, -4, 0, 0, 36, -52, -16, 4, 0, 0, 32, -16, 0, 0, -24, -28, 0, 52, 0, -28, -48, 20, 32, 0, -32, -20, 40, 32, 0, 0, 0, 8, 44, 0, -56, -48, -24, 0, 0, -14, 20, -102, -20, 0, 0, -20, 48, 76, 0, 20, -40, 0, -56, 0, 24, -12, 36, -8, 0, -36, -4, 88, -72, 0, -56, 0, 0, -96, 0, 20, -40, -20, 0, 0, -32, -36, -20, 72, 0, 0, 24, 24, 68, 0, 4, 24, 0, -12, 0, -12, 16, 76, -56, 0, -16, 48, -8, 56, 0, 48, 0, -48, 0, 0, -12, 20, -24, 0, 0, 8, -16, -6, 32, 0, 0, 24, 0, -12, 0, -36, -28, 0, 24, 0, 16, -8, 40, -8, 0, -12, 24, 64, -8, 0, 0, 0, -12, -28, 0, 62, -20, 8, 0, 0, 24, 32, 44, 12, 0, 0, 8, -48, -48, 0, -4, 132, 0, -60, 0, -36, 88, 32, -24, 0, -20, 12, 40, -16, 0, 60, 0, 16, 4, 0, -16, 4, -88, 0, 0, 8, 24, 48, 8, 0, 0, 46, 32, 16, 0, 6, -32, 0, 2, 0, 32, 0, 44, 40, 0, -4, 0, 28, 8, 0, -8, 0, 36, 12, 0, -68, 8, -64, 0, 0, -64, 0, -48, 72, 0, 0, 20, 56, 32, 0, 4, 48, 0, -8, 0, 0, 0, -26, -40, 0, -12, -52, 20, 16, 0, -12, 0, 28, -8, 0, -16, 136, 12, 0, 0, 16, 16, -24, 28, 0, 0, -8, 0, 52, 0, 12, -60, 0, -64, 0, -12, -60, 16, 0, 0, -72, -12, 28, -4, 0, 36, 0, 28, -16, 0, -12, 32, 24, 0, 0, -44, 24, 16, 72, 0, 0, 12, 36, -16, 0, -20, 44, 0, 4, 0, -16, 4, 8, 48, 0, 14, 12, 36, -40, 0, -16, 0, 0, 0, 0, 56, -16, 4, 0, 0, -4, 44, 32, 52, 0, 0, 24, -60, 6, 0, -12, 38, 0, 0, 0, 0, -36, -4, -8, 0, -12, 12, -20, -36, 0, -4, 0, -56, 136, 0, 52, -48, -4, 0, 0, 0, -104, 32, 20, 0, 0, -40, 44, 24, 0, -96, 80, 0, 8, 0, 48, 56, 120, -4, 0, 24, -12, -32, 28, 0, 72, 0, 20, 32, 0, -24, 36, 16, 0, 0, 96, -24, 36, 84, 0, 0, -40, -8, 72, 0, 20, -20, 0, -12, 0, -44, -36, -88, -48, 0, 64, 36, -16, 40, 0, -16, 0, 16, -24, 0, -56, 0, -24, 0, 0, 90, 40, 12, 64, 0, 0, -56, 18, -24, 0, -56, 2, 0, 88, 0, 0, 24, -24, 64, 0, 12, -48, 32, 52, 0, 120, 0, -8, -32, 0, 0, 36, -8, 0, 0, -24, -60, -24, -4, 0, 0, -32, -32, -80, 0, 0, 48, 0, 4, 0, -20, 64, -36, -30, 0, 80, 0, -52, 64, 0, -8, 0, -48, -14, 0, -4, 32, 20, 0, 0, 0, 48, -20, -32, 0, 0, 0, -68, 36, 0, 12, 68, 0, 12, 0, -96, -32, 16, 12, 0, 8, -36, -4, -104, 0, -8, 0, -90, -28, 0, 36, 0, -16, 0, 0, -136, 48, 52, -24, 0, 0, 0, -24, 0, 0, 20, 8, 0, 16, 0, 64, -36, -14, 76, 0, 0, -8, 60, -6, 0, -24, 0, 36, -64, 0, 88, -4, 0, 0, 0, 8, -24, 60, 12, 0, 0, -12, -84, -20, 0, -32, -36, 0, 56, 0, -44, -36, -96, 4, 0, 64, 48, 48, 4, 0, -8, 0, -16, 92, 0, -24, 0, 0, 0, 0, 0, -8, -12, 0, 0, 0, 24, -16, 64, 0, 16, -104, 0, 0, 0, 8, 10, 92, -44, 0, 166, -40, 36, 0, 0, -16, 0, 28, 44, 0, -48, -12, -84, 0, 0, -40, -4, -72, 8, 0, 0, -64, -8, 0, 0, 12, 0, 0, -28, 0, 28, -12, 16, -72, 0, -44, 28, 52, -4, 0, -136, 0, 96, 0, 0, 12, 72, 60, 0, 0, 0, 32, 48, 40, 0, 0, -36, 132, -8, 0, 12, -12, 0, 96, 0, 32, 64, 0, 28, 0, -76, -24, -120, 20, 0, 28, 0, -32, 48, 0, -24, 20, -108, 0, 0, 24, -20, -16, -40, 0, 0, -96, -4, -32, 0, 20, 36, 0, 0, 0, -28, 24, 56, 24, 0, -40, -16, -12, -48, 0, 24, 0, -96, 0, 0, 72, -24, 0, 0, 0, 96, -60, 8, -44, 0, 0, 92, -52, -52, 0, -24, -16, 0, 44, 0, 4, 8, -16, 48, 0, 6, 4, 32, 20, 0, 36, 0, 16, -72, 0, 56, -24, 12, 0, 0, 24, -20, 40, 20, 0, 0, 44, -112, 48, 0, 8, -48, 0, 24, 0, -88, -40, 24, -36, 0, 0, 28, -32, -120, 0, -32, 0, 56, 48, 0, -4, 0, 32, 0, 0, 60, 20, 76, -16, 0, 0, -26, -32, 36, 0, -16, 32, 0, 0, 0, 108, -72, 0, -16, 0, -28, 44, 4, -2, 0, -44, 0, 64, -40, 0, -48, -4, 96, 0, 0, -92, -20, -4, -76, 0, 0, 72, 108, -32, 0, 40, 36, 0, -216, 0, -32, -64, 32, 100, 0, 8, -44, 0, -20, 0, 8, 0, 88, -20, 0, 48, -92, -4, 0, 0, 32, -24, -4, 0, 0, 0, 16, -16, -36, 0, 104, 40, 0, -28, 0, 0, 16, 4, 16, 0, -104, 40, -24, 96, 0, -32, 0, -24, -78, 0, -48, -72, 32, 0, 0, 24, -6, -76, 16, 0, 0, -96, -2, 44, 0, 8, -160, 0, 0, 0, 28, 24, -88, 16, 0, -32, -60, 8, 0, 0, -44, 0, 88, -24, 0, 12, 8, 40, 0, 0, -68, -48, 12, -72, 0, 0, 132, 24, 8, 0, 112, -24, 0, -72, 0, 32, 80, 0, -16, 0, 64, 16, -120, 32, 0, -40, 0, -104, -4, 0, -104, -40, -48, 0, 0, -2, 28, -60, -80, 0, 0, 68, 64, -48, 0, 20, 0, 0, -32, 0, 54, 0, -8, -4, 0, 0, -4, 128, 76, 0, -84, 0, -16, -20, 0, 32, -12, 60, 0, 0, -44, 4, 24, -96, 0, 0, 16, 12, -200, 0, -12, 16, 0, 16, 0, -72, -32, 12, -32, 0, -48, -48, 4, -8, 0, 88, 0, 20, 0, 0, 0, 26, -60, 0, 0, 32, 4, -16, -4, 0, 0, 76, 96, 56, 0, 28, -20, 0, 60, 0, 96, -36, 0, -72, 0, -8, 104, -124, -4, 0, -12, 0, -12, 0, 0, 4, -108, 36, 0, 0, -52, 0, 0, -16, 0, 0, 4, -32, 32, 0, -24, -44, 0, -32, 0, 32, 108, -144, -16, 0, -112, 0, -72, -88, 0, 96, 0, -24, 20, 0, -28, 116, 128, 0, 0, -96, 52, -32, -108, 0, 0, -36, -28, -72, 0, -48, -32, 0, 20, 0, -40, 32, -112, -24, 0, 54, -14, -32, -12, 0, -20, 0, 40, 40, 0, 88, 32, -52, 0, 0, -24, 36, 0, -52, 0, 0, -56, 32, 8, 0, -28, 44, 0, -28, 0, -96, 36, -56, -108, 0, -48, 72, -108, -24, 0, 44, 0, 0, -32, 0, 108, 80, -14, 0, 0, 20, 4, 0, -102, 0, 0, -20, 64, 64, 0, -40, 0, 0, 36, 0, -20, -32, -8, 48, 0, 48, 76, -36, 84, 0, -4, 0, 20, -16, 0, -40, -124, 96, 0, 0, 56, -56, -168, 0, 0, 0, -68, 24, 0, 0, -12, 28, 0, 36, 0, 48, -8, -80, 72, 0, 0, -36, -36, 68, 0, -4, 0, 0, 88, 0, -108, -72, 120, 0, 0, 12, 144, -56, -128, 0, 0, 8, 0, 0, 0, -32, -96, 0, -88, 0, -120, -32, 20, 104, 0, -40, 32, 48, -20, 0, 0, 0, -12, -128, 0, -96, -56, -32, 0, 0, -36, 64, -112, -20, 0, 0, 72, 56, -68, 0, -32, -64, 0, 42, 0, 24, -160, -24, 24, 0, -84, 68, -84, 64, 0, 24, 0, 4, 80, 0, 24, 16, -152, 0, 0, 8, -12, 100, -52, 0, 0, 64, -12, -92, 0, 16, -20, 0, 76, 0, 216, -56, -64, -44, 0, 0, -128, -16, -20, 0, 48, 0, -136, -8, 0, 20, 56, 128, 0, 0, 24, -72, 48, -48, 0, 0, -32, -24, -48, 0, 8, 0, 0, -24, 0, 32, 6, -12, -56, 0, 20, -64, -112, -24, 0, -120, 0, -76, -8, 0, -18, 40, 8, 0, 0, -16, 88, 0, -6, 0, 0, 32, -184, -148, 0, 84, 0, 0, -48, 0, 24, 48, -16, 0, 0, 96, -12, 96, 88, 0, -48, 0, -36, 16, 0, -28, -216, -52, 0, 0, 24, 24, 160, -16, 0, 0, -48, 16, 20, 0, -8, 16, 0, 40, 0, 32, -8, 28, 132, 0, 72, 0, -12, -16, 0, 24, 0, -12, 64, 0, -64, -8, 160, 0, 0, 40, -32, 0, 0, 0, 0, -20, 124, -12, 0, 0, -28, 0, -112, 0, -12, 132, 62, -24, 0, -20, -48, -88, 8, 0, 36, 0, -104, 80, 0, -72, 24, 24, 0, 0, 32, 104, -70, 44, 0, 0, 12, 20, -96, 0, 20, 12, 0, 0, 0, 8, -24, 0, -48, 0, 116, -48, 32, -84, 0, -24, 0, -4, 0, 0, 132, 0, 36, 0, 0, -4, -60, -136, -148, 0, 0, -124, -36, -128, 0, 88, 176, 0, 32, 0, 0, -24, -60, 48, 0, 16, -40, -20, -52, 0, 12, 0, 120, 40, 0, 32, -16, -20, 0, 0, 154, -168, 60, -48, 0, 0, 12, -32, 16, 0, -64, 4, 0, 108, 0, 20, 216, -16, -32, 0, 4, 68, 72, -88, 0, 156, 0, -64, 0, 0, -72, -16, 8, 0, 0, 24, 20, 120, 48, 0, 0, 8, -16, 160, 0, -16, -96, 0, 36, 0, 46, -48, -108, 32, 0, -64, 16, -96, -24, 0, -196, 0, 6, -8, 0, -32, 24, 96, 0, 0, 60, 2, 96, 16, 0, 0, -96, 32, -12, 0, 0, -8, 0, 44, 0, 48, 40, -16, 72, 0, -60, 12, -4, -30, 0, 0, 0, 120, 28, 0, 92, 8, -92, 0, 0, 20, 48, -8, 60, 0, 0, 64, -64, 36, 0, 88, 12, 0, 84, 0, 160, -16, -68, -20, 0, 8, 32, 104, -64, 0, -96, 0, -92, -136, 0, -40, -24, -64, 0, 0, 0, 0, -92, -48, 0, 0, 72, -104, 0, 0, 96, 120, 0, 4, 0, 20, 8, 36, 56, 0, -20, 32, 0, 0, 0, 32, 0, 4, 8, 0, 48, -80, -48, 0, 0, -96, -8, 84, 24, 0, 0, -88, 0, 12, 0, 0, 72, 0, -26, 0, -52, -40, 68, -108, 0, -96, -178, -12, 56, 0, -52, 0, 0, 20, 0, -32, 16, -72, 0, 0, -92, 0, -12, 32, 0, 0, 48, 96, 28, 0, -92, -8, 0, -72, 0, -40, 88, -16, 92, 0, 136, -136, 24, 12, 0, 72, 0, 0, 16, 0, 72, -36, 16, 0, 0, 16, -108, 56, -24, 0, 0, 28, -4, -48, 0, 44, -92, 0, 124, 0, -8, 52, 168, 0, 0, 36, 52, 64, -12, 0, -20, 0, 12, -60, 0, -60, 168, -108, 0, 0, -120, -64, -48, -72, 0, 0, -108, -12, -88, 0, -60, 48, 0, 16, 0, -32, 0, -32, -48, 0, 0, -176, -72, 32, 0, -12, 0, 116, 28, 0, -132, -4, 56, 0, 0, 96, 68, 36, 60, 0, 0, -28, -144, 28, 0, 132, -16, 0, -96, 0, -32, -28, -12, -32, 0, 32, 172, -96, 24, 0, 120, 0, 44, 56, 0, -104, 60, -44, 0, 0, 24, -96, -120, 16, 0, 0, 72, 4, -92, 0, 148, 60, 0, 0, 0, 12, -232, 32, 36, 0, 16, -16, 40, -32, 0, 96, 0, -20, 96, 0, 44, 96, -16, 0, 0, 0, 4, 56, 12, 0, 0, 24, -16, 72, 0, 4, -12, 0, 8, 0, -56, 48, -152, 64, 0, 76, 72, 14, 48, 0, 12, 0, -48, 36, 0, 72, -40, 72, 0, 0, 88, 128, -16, -76, 0, 0, -184, -60, 0, 0, 0, 0, 0, -132, 0, -148, -48, 56, 28, 0, -16, 124, 116, 4, 0, 0, 0, -16, -172, 0, 20, 192, -4, 0, 0, 44, 72, 112, 32, 0, 0, 52, -156, 48, 0, -72, -28, 0, 56, 0, 24, -8, -80, -60, 0, 48, 6, 36, -36, 0, -96, 0, -12, -32, 0, 38, -20, 80, 0, 0, -112, 0, 72, -36, 0, 0, -112, 0, -24, 0, -36, 4, 0, -4, 0, -36, -8, 0, 116, 0, -88, -32, -12, -80, 0, 12, 0, 0, -20, 0, 200, -36, -112, 0, 0, -88, -152, -4, 80, 0, 0, 152, 8, -56, 0, 32, 136, 0, -56, 0, 40, -24, 52, 100, 0, -48, 112, -16, -4, 0, -160, 0, 216, -152, 0, 128, 0, 0, 0, 0, -104, -116, -144, 32, 0, 0, 20, 112, 0, 0, -160, 112, 0, 44, 0, -40, -108, -12, 44, 0, 12, 24, 0, 120, 0, 88, 0, -96, -6, 0, 80, 40, -52, 0, 0, 96, 8, -68, 64, 0, 0, 0, 48, -44, 0, 56, -140, 0, 120, 0, -96, -4, 128, -36, 0, 40, 12, 24, 84, 0, -12, 0, 66, -32, 0, 60, 28, 48, 0, 0, -8, 0, 72, 104, 0, 0, 112, 32, 20, 0, -144, 32, 0, -216, 0, -32, 28, -24, 44, 0, 36, 8, 12, 16, 0, -48, 0, 64, 56, 0, -84, 44, 96, 0, 0, -24, -56, -12, 36, 0, 0, 84, 344, -12, 0, 4, 96, 0, 128, 0, -40, 60, -140, -8, 0, -12, 72, -88, 108, 0, 0, 0, 20, 38, 0, -20, -56, -24, 0, 0, -96, -12, -92, 0, 0, 0, -16, -44, 116, 0, -36, 32, 0, -88, 0, -24, -48, 76, 72, 0, 4, 72, 64, -128, 0, 36, 0, 156, -16, 0, 80, 40, -68, 0, 0, 72, -120, -16, 88, 0, 0, 44, 60, 16, 0, -108, -24, 0, -24, 0, 12, 0, -56, -96, 0, 0, 32, -124, -24, 0, 40, 0, -104, 40, 0, 0, 32, 90, 0, 0, 40, 128, 74, 12, 0, 0, 64, -64, 168, 0, -48, -20, 0, 112, 0, -56, -96, 96, 18, 0, 28, -24, 0, -44, 0, 32, 0, -56, 64, 0, 2, 132, -148, 0, 0, -160, 88, 32, 288, 0, 0, -60, 0, -24, 0, 24, -100, 0, -24, 0, 24, 64, -32, -120, 0, -264, 16, 12, 196, 0, -48, 0, 0, 32, 0, -144, 52, -12, 0, 0, -184, 12, 120, 32, 0, 0, -124, -108, -8, 0, 40, -32, 0, 28, 0, 28, 100, 0, 128, 0, 36, -80, 72, -8, 0, 48, 0, 88, -76, 0, -32, -144, -24, 0, 0, -60, -96, 136, -24, 0, 0, -4, 128, 96, 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": "735.2.a.l", "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], [1, 0], [1, -2], [0, 0], [-1, 1], [0, 0], [-3, 1], [1, 0], [0, 0], [0, -2], [1, -2], [-2, 2], [0, 0], [0, 0], [3, 0], [-2, 4], [-1, 1], [-2, -2], [0, 0], [0, 0], [-4, 2], [2, -4], [-3, 1], [0, 0], [6, -4], [1, 0], [0, 0], [6, 0], [0, 0], [2, 6], [3, 1], [0, -2], [10, -6], [0, 0], [1, -2], [-2, -4], [-2, 0], [-2, 2], [0, 0], [-6, 4], [0, 0], [-8, 0], [8, -2], [0, 0], [-10, 6], [0, -4], [3, 0], [0, 0], [0, 0], [-2, 4], [-10, 6], [0, -6], [-1, 1], [0, 0], [0, 0], [-2, -2], [-6, 6], [-8, -4], [0, 0], [0, 0], [10, -4], [0, 0], [-7, 2], [0, 0], [-4, 2], [0, 0], [-18, 8], [2, -4], [0, 0], [0, 2], [-3, 1], [-14, -2], [-6, 2], [0, 0], [6, 2], [0, 0], [6, -4], [-8, 0], [0, 0], [1, 0], [14, -10], [4, 4], [0, 0], [0, 0], [8, -8], [6, 0], [-4, 6], [-6, -8], [0, 0], [0, 0], [18, -8], [2, 6], [-8, 4], [0, 0], [3, 1], [-2, -6], [0, 0], [0, -2], [0, 0]]}