# Stored data for newform 5070.2.a.ba, downloaded from the LMFDB on 24 April 2024.
{"label": "5070.2.a.ba", "space_label": "5070.2.a", "level": 5070, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093590345192398, "dim": 2, "is_polredabs": true, "nf_label": "2.2.12.1", "trace_hash": 2068956846249866408, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [3, 1]], [11, [1, -4, 1]], [17, [4, 1]], [31, [-44, 4, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20280, "fricke_eigenval": 1, "atkin_lehner_string": "++--", "analytic_conductor": 40.48415382478915, "hecke_ring_index": 1, "level_radical": 390, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [5070, 1, [1691, 4057, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 5, 13], "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": "1.943", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.325", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.217", "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], [3, 1], [5, -1], [13, -1]], "trace_display": [-2, -2, 2, -6], "traces": [0, 2, -2, -2, 2, 2, 2, -6, -2, 2, -2, 4, -2, 0, 6, -2, 2, -8, -2, 8, 2, 6, -4, 0, 2, 2, 0, -2, -6, -4, 2, -4, -2, -4, 8, -6, 2, 2, -8, 0, -2, 8, -6, -12, 4, 2, 0, 6, -2, 4, -2, 8, 0, -4, 2, 4, 6, -8, 4, 16, -2, -8, 4, -6, 2, 0, 4, 4, -8, 0, 6, -12, -2, 0, -2, -2, 8, -12, 0, 20, 2, 2, -8, 12, 6, -8, 12, 4, -4, -4, -2, 0, 0, 4, -6, 8, 2, -4, -4, 4, 2, -4, -8, -8, 0, 6, 4, -12, -2, 0, -4, -2, -6, -24, 8, 0, -4, 0, -16, 24, 2, -8, 8, -8, -4, 2, 6, 8, -2, 12, 0, -6, -4, -24, -4, -2, 8, -20, 0, 2, -6, -6, 12, 0, 2, -4, 0, -4, 2, -4, 2, -4, -8, -8, 12, -4, 0, 32, -20, 4, -2, 0, -2, -8, 8, -4, -12, 6, -6, 0, 8, 8, -12, -20, -4, -6, 4, -16, 4, -32, 2, -20, 0, 8, 0, 2, -4, -16, 6, 6, -8, 0, -2, 8, 4, 0, 4, 2, -4, 36, -2, -4, 4, 12, 8, 8, 8, 0, 0, 10, -6, -30, -4, 12, 12, -12, 2, 12, 0, 0, 4, 0, 2, 10, 6, 2, 24, 20, -8, -16, 0, 12, 4, -36, 0, 6, 16, -20, -24, 0, -2, 40, 8, -2, -8, 4, 8, 0, 4, -12, -2, -46, -6, 12, -8, 8, 2, -36, -12, -6, 0, -4, 6, -4, 4, -4, 24, 4, 4, -48, 2, 28, -8, 0, 20, 4, 0, 8, -2, -4, 6, 0, 6, -8, -12, -8, 0, -24, -2, -2, 4, 4, 0, -10, 4, 16, -2, -4, 4, 0, -2, 36, 4, 4, 8, -8, 8, -8, -12, 8, 4, -24, 0, -32, -32, -6, 20, -54, -4, -20, 2, 12, 0, -32, 2, 0, 8, 0, -8, -18, 4, 8, 12, 2, -6, 4, 6, 32, 0, 24, -8, -32, -8, 30, 12, 0, 20, -12, 4, -28, 6, 0, -4, -36, 16, -12, -4, -24, 32, -12, -2, 0, 20, 8, 0, 0, -8, 8, 0, 8, -2, 12, 4, 32, 16, -2, -6, 0, -6, 16, 8, -8, 0, -32, 2, -12, -8, -12, -4, -8, 0, 0, -4, 6, -2, 20, 4, -2, -36, 24, 2, -20, 4, 0, -4, 2, -12, 28, -8, -40, -8, 20, -8, -48, 0, 12, 0, -2, -10, -8, 6, -16, 30, 6, 4, -8, -12, 24, -12, 0, 12, 0, -2, -24, -12, 4, 0, -12, 0, -8, -4, 4, 0, -12, -2, -4, -10, 4, -6, -12, -2, 16, -24, 4, -20, 0, 8, 8, 16, 8, 0, -44, -12, -40, -4, 4, 36, -28, 0, -12, -6, -32, -16, -24, 20, 8, 24, -4, 0, 4, 2, 0, -40, 0, -8, -4, 2, 42, 8, 8, -4, 10, -8, 16, 0, 4, -4, 36, 12, -32, 2, -6, 46, 4, 6, -4, -12, 0, 8, -24, -8, 0, -2, -8, 36, -8, 12, 0, 6, 20, 0, -34, 4, -28, -6, 6, 4, 16, -4, -22, 4, 16, -24, 0, -4, -12, -4, 32, 48, 8, -2, -12, -28, 20, 8, 0, 0, 24, -20, -8, -4, -4, 0, -60, -8, -2, 2, -66, 4, 0, -6, 16, 0, -4, -6, -24, 8, -6, 12, -2, 8, 6, 0, 0, 24, 0, 2, -16, 2, -8, -4, -36, -4, -14, 0, 0, 10, 4, -4, 8, -16, -2, 2, -48, 4, 24, -4, -36, 0, 44, 2, 6, -36, 4, -4, -8, -4, 16, -8, -12, 8, 0, -8, -90, 8, -8, 12, -64, -8, -40, -4, 0, 24, 12, 0, 2, 32, -10, 32, -8, 6, 16, -20, 30, 54, 8, 4, 0, 20, -12, -2, -22, -12, -16, 0, 12, 32, 68, -2, 20, 0, -12, -8, 28, 0, -6, 8, 0, 18, -24, -4, -64, -8, 0, -12, -24, -2, -24, 6, -10, -4, -28, -6, -8, -32, -2, 0, 8, -24, 12, 8, -20, 32, -48, 8, -20, -30, 16, -12, 0, 0, 8, -20, -12, 12, 2, -4, -32, 28, 36, -6, -12, 0, -16, 4, -6, 36, 12, -16, 20, 12, 20, 4, -48, 24, 0, -32, 0, 12, -32, 2, 24, 0, -40, -20, -4, -8, -8, 0, 2, 0, 48, 8, -14, -8, -4, 0, 20, -8, -8, 2, 0, -12, 8, -4, -4, -32, 12, -16, 36, 2, -20, 6, 46, 0, -4, 6, 40, -16, -12, -8, 36, 8, 0, 0, -8, 32, 0, -2, 24, 12, 36, 8, -86, 12, -4, 4, 6, 8, 32, 0, 0, 0, 4, 4, 32, -6, 4, 2, 4, -20, 72, -4, 0, 2, 4, 36, 48, -24, -24, -2, -4, 20, -24, -4, 0, 0, 48, 4, 28, -2, -16, 12, -28, -28, -8, 8, -48, 40, 0, 8, 64, -20, 48, 8, -4, 48, -4, 0, 44, -12, -8, 0, -16, 2, 6, 10, 4, 8, 24, -6, -26, 16, 0, -30, 0, -6, 24, -4, 8, 8, 48, 12, 20, -24, 8, 12, 44, 0, -26, -12, 24, 0, 8, 2, -20, 24, 2, 12, 64, -4, 0, 0, -4, 12, -6, 0, -12, 8, 10, 4, -2, -4, -8, 0, -16, 12, 108, 2, -24, 4, 4, 10, 36, -4, -32, 6, 0, 12, 56, 2, 16, -16, -36, 24, -20, -4, -28, 20, -4, 0, -16, -8, 12, -8, 8, -16, 18, -8, 8, 0, 8, 44, 0, 12, 2, 40, -8, 4, 88, -4, 16, -36, 24, 28, -16, 0, 12, 12, 32, 6, 24, 32, 0, 16, 6, 24, 48, -20, 0, -8, 54, -24, 72, 4, 0, 0, 20, -4, 60, -2, 42, 0, -12, 40, 8, 0, 30, 8, 32, 4, -62, -2, -6, -42, 0, -8, 4, -8, 34, 4, 0, -10, 30, 8, 2, -16, 18, 0, 0, -4, 16, 4, -8, -36, 36, -12, 72, 32, -2, -2, 0, 6, -64, -46, -4, -4, -10, -6, 40, 4, -32, 12, -24, 0, 12, -8, -24, 24, 56, 8, 52, 0, 32, 2, 8, 8, 0, -36, -30, 8, -12, -12, 96, 0, 0, -6, 32, -20, 12, 0, 12, 34, 12, -4, 10, 28, 28, 6, -6, -6, 80, -4, 0, -16, -30, 4, 12, 22, 36, -4, 96, -16, 0, 24, 12, 0, -44, 4, -16, 12, 24, 4, -52, -32, -12, -48, 12, -8, 0, 2, -24, 12, 0, 28, 12, -20, 56, -8, -8, 0, 14, 0, 32, -24, 0, 20, -8, 8, -96, 4, -8, 4, -30, 0, 0, 60, -8, 8, -36, 2, 28, -2, -12, 66, 10, -4, 40, 0, -32, 6, 76, -16, 52, 0, 2, 4, 0, 6, -64, 24, 0, -8, -70, 6, 20, -12, -16, 2, -16, -8, 24, -6, 8, 0, -16, 0, -100, -24, 32, 0, -36, -2, 4, 16, 12, -2, 0, 8, -20, 4, 12, 36, 28, 4, -36, 14, 8, 0, -18, 0, -78, -10, 0, -4, 6, 4, 0, -8, -6, 16, 84, 2, 0, -2, -20, 48, 24, -4, -16, -24, 2, 4, -12, 36, 0, 0, -24, -44, 36, -2, -104, -6, 20, 36, 40, -4, 48, 4, 0, 8, 60, 4, 88, -16, -2, 8, 24, 12, -12, -8, -28, 0, 16, 8, 4, 90, 40, -8, -24, 8, 32, -12, -20, 64, 0, 8, 52, 40, 48, 4, 0, 0, -48, -24, -12, -12, 24, 0, 42, -2, 2, -32, 96, 10, -46, -32, 8, 8, 44, -6, 0, -16, 16, 20, 12, -30, 60, -54, -6, -8, -16, -4, 4, 0, 8, -20, 48, 12, -112, 2, -24, 22, -68, 12, -36, 16, 0, 0, -20, -12, -98, -32, 0, -68, -6, 2, 76, -20, 24, 0, -24, 12, 80, 8, -4, -28, 68, 0, 48, 6, 12, -8, 0, 0, -4, -18, 8, 24, -36, 4, 48, 64, -4, 8, -4, 0, -24, 12, 12, 24, -36, 2, 24, 24, 4, -6, 0, 10, 0, 4, -4, 28, -80, 6, -48, 8, 12, 32, -72, 2, -24, 0, -16, -8, 28, 24, -24, -12, -4, -8, 26, 20, 12, -32, 0, 48, 74, -8, 24, 20, -8, 30, -66, -16, 4, 12, -8, 0, -6, 0, -44, -8, 44, 20, 8, 12, 24, -12, 40, -2, 0, 4, -108, 32, -4, -28, -14, -36, -52, 6, 28, 12, -24, 0, 0, 16, 12, -4, -44, 6, -48, -36, 32, -12, -8, 16, 0, -20, 24, -12, -8, -20, -40, -4, -8, 48, -72, -24, 60, 0, 4, 32, -120, 0, -24, -12, -4, 32, -20, -2, -72, -24, 0, 0, -2, 40, 56, 20, 0, 4, 44, 8, 24, 8, 4, 0, 36, -2, 82, 0, -42, -48, -30, -8, -10, 14, -8, 8, 0, 4, 84, 0, -10, -20, 16, 8, 90, 8, -16, -2, 10, 0, -8, 12, -4, -8, 70, 4, -64, 4, -36, 32, -60, -12, 0, 16, 32, -36, 34, -2, 56, 20, 6, -6, 36, -46, -28, 0, -4, 4, -68, -6, 16, -40, 4, 16, 8, 12, -8, 8, 0, -36, -4, -8, -8, 0, 24, 0, 76, 8, 32, -32, 0, 0, -8, 2, 20, -24, 8, -12, 24, -36, -40, -8, 8, 86, 0, -12, 68, 4, 0, -4, -84, -6, -24, -8, -20, -32, -36, 0, -30, 0, 34, 0, -32, -4, 32, -4, 28, -32, -76, 6, 0, -4, -6, -2, 60, -4, -56, 20, -16, -72, -36, 4, -54, 0, 22, -2, -60, -4, -12, -36, -16, -48, -20, 24, -36, 24, 0, 2, 36, 4, 48, -20, 12, 24, 18, 4, -52, 0, -32, 0, -92, -48, -32, -4, -8, -28, 108, 2, 40, 16, 12, -12, 0, 28, -32, 28, -20, 8, 108, -8, 48, 48, 0, -40, 60, 0, -80, -8, -24, -64, 32, 20, -18, -48, 8, -8, 16, 4, 0, -48, 4, 4, 8, 0, -4, -44, 60, 12, 64, 8, -8, 0, 2, 16, 88, -2, 56, -6, 66, -10, 0, -4, 4, -8, 0, -24, -48, 6, -50, 26, -16, -16, 32, 0, -120, 30, 4, 0, -58, 6, 96, -24, 24, 4, -12, -8, -16, -8, 6, -48, 0, -12, -32, -20, 2, 24, 56, -8, -8, -12, -6, -44, 30, 0, 16, 26, 0, 12, 4, -24, -4, 0, 0, -8, 46, -2, 0, 20, 16, -24, -96, -2, -12, -12, 8, -64, -42, 4, -84, 0, 36, 0, -28, 4, -68, -12, 14, 6, 32, 0, -28, 12, 0, -8, 138, -10, -44, -4, -4, 2, -48, 4, -36, 8, -8, 0, 40, 16, -36, -12, 2, -108, -12, -2, -112, 24, 48, -4, 0, -4, -40, -10, -24, -36, 84, 4, -16, 32, 36, -6, -40, 0, -12, -12, -44, -56, 108, -2, -40, -16, -6, 16, 0, 36, 0, -24, -4, 20, -8, 4, 4, 28, 8, -20, 48, 4, 48, 0, -16, 16, -124, 8, 0, -12, 12, 8, 16, -8, 52, 16, 0, -18, 8, 8, 24, -8, 90, 0, 12, -8, 20, -44, 8, 0, 32, -12, -14, -2, 64, -40, 0, 8, 12, -4, 40, -88, 0, 4, -56, -16, 0, 36, 32, -24, 56, -28, -12, 16, -72, 0, 36, -12, -2, -12, -26, -32, -48, -6, 10, -24, 144, -32, 0, 0, 8, -16, 134, -6, 64, -24, -16, -48, 16, 20, -84, 0, -30, 8, -56, -54, -82, 24, -8, -72, 24, -4, -24, 0, 0, 0, -64, -20, -32, 4, 12, -60, -52, 2, 96, -42, 22, 0, -12, 12, 24, -40, 16, -8, 76, 0, 16, -30, -12, -8, 0, -32, -24, -4, -68, 62, -32, 2, -8, 6, -20, 42, -20, 0, -4, 8, 12, -4, 0, 8, 22, -34, -28, -4, -28, 0, 0, 10, 6, -30, 0, -8, -88, -2, 0, 16, 92, -18, 20, 0, 24, 0, -16, 4, 24, -16, 64, -4, -2, 8, 52, 36, 0, -36, -16, 12, -88, -72, 24, -32, 28, 2, 0, 2, 24, 0, 64, -6, -20, 64, 10, 46, 16, 4, 8, 4, 28, 10, 0, 6, -44, -40, 8, -4, -36, 32, 6, -12, 2, 24, 32, 0, 112, -12, -8, 8, -72, 24, 28, -24, -12, -56, 20, -8, 0, -52, 20, 0, -40, -32, 84, -2, 48, -8, 30, -8, 104, 0, 20, 36, 32, 30, -24, -8, -16, 12, -132, 12, -48, -96, 0, 0, -88, 0, -36, 6, -8, -32, 12, 20, -56, -12, 12, 0, 122, -12, -44, -34, -2, -12, 30, 4, 70, -10, 32, -28, 0, -28, -8, -6, -36, 6, 48, 6, 60, -80, 12, 4, -16, 0, -24, 16, 16, 30, -112, -4, 28, -12, 6, -22, 48, -36, 0, 4, -12, -96, 64, 16, -8, 0, -20, -24, 12, -12, 24, 0, -20, 44, 24, -4, 60, 16, 48, -12, 4, -24, -16, -4, 0, 52, -96, 32, 24, 12, 0, 48, -36, -12, 0, 8, 32, 0, -32, -2, -4, 24, -24, -12, -24, 0, -32, -28, 40, -12, 0, 20, -16, -56, 4, 8, 72, 8, -32, 0, 8, -14, -32, 0, -12, -32, -2, 24, 48, 0, 96, -20, -48, 8, -8, -8, 0, 96, 14, -4, -72, 8, 124, -4, 4, 30, -76, 0, -52, 0, -20, -60, 120, 8, -12, -8, 8, 36, 162, -2, 80, -28, 0, 2, -4, 12, 24, -66, -8, -10, -72, 4, 60, -40, 4, 0, 12, 32, 32, -6, -12, -76, 28, 16, -12, -52, -36, 0, 0, -2, -80, -4, 20, 0, 16, -6, -56, 64, -46, -24, 96, 0, 96, 8, 4, 70, 56, -6, 136, -20, -40, 12, -140, 16, 0, -2, 12, 16, 24, 8, 72, -24, -36, 6, 8, -8, 24, 0, 0, 16, -88, 0, 74, 100, 8, 24, 124, -32, -56, 0, 0, 36, 12, 2, -44, -4, -24, -16, -40, -12, 24, 2, -36, 0, -40, -8, -24, 20, 86, -4, -84, -12, 72, -36, 4, -28, 0, -4, 80, 36, -6, -14, -46, -8, -28, 0, -32, 18, 18, 0, -56, 78, 0, 10, -12, 0, -20, 4, -4, -6, -36, -4, 0, 0, -32, 8, 4, 6, -96, -16, -4, -84, -8, -2, -24, 0, -4, 2, -108, 20, 96, -48, -72, -24, 8, 4, -44, 16, 0, 24, 24, -2, -152, -4, -4, 12, 96, -36, -64, 0, -48, 0, 12, 24, 4, 44, 24, -36, 76, 2, -118, 104, 4, 6, 0, -20, 0, -36, 24, -40, -28, 4, 62, -48, 0, -4, 40, 0, 64, -8, -48, -60, -82, -4, -4, -88, -28, 16, 36, 2, 0, -8, 16, -24, 42, -12, -22, 12, 28, 8, 18, 28, 84, 0, 8, -16, -112, -8, -136, -4, 48, -90, -28, -40, 10, 8, 0, 24, 28, -8, 48, -32, -64, 12, 16, 20, 64, -64, -48, 0, 108, -8, -24, -52, 4, -40, -36, -48, 52, -4, 4, 0, 0, 0, 36, 48, -44, 24, 36, 12, 0, 12, 8, -24, -32, 0, 52, -42, 16, 2, -32, -2, 2, 32, -6, -96, 72, -10, 0, 46, -4, 32, 36, -8, 4, -8, -24, -44, -44, 6, -36, 0, 26, 16, -4, -16, 0, -20, 0, -12, 8, 30, 16, -60, 0, 54, -96, 6, -86, 8, -24, 16, -48, 4, -24, -4, -8, 0, 16, -8, -56, 20, -48, -48, 0, -12, -64, 112, -20, -2, 0, 24, -72, -22, -8, 68, 16, -12, -24, 36, -44, -16, 24, 0, -8, 0, 26, 20, 12, 12, -76, 98, -24, 32, 0, 0, 0, 68, -8, 6, -108, -2, 76, -76, 20, 20, -8, -24, 0, 0, -2, 24, -92, -12, -34, -80, -64, -8, -78, 4, -96, 28, 0, -68, -28, 0, 20, -48, 4, -6, 28, -12, 48, 8, 6, 0, 84, 0, 12, 4, 12, 18, 12, -8, 16, -24, -10, 36, 0, -4, -64, -48, 2, -64, -22, 4, -94, -8, 8, 4, 62, 0, -48, 24, 16, -12, 20, -12, -40, -24, -108, 36, -2, -2, 0, -24, 24, -24, -128, -4, -4, 6, -4, 0, -12, -10, -80, 0, -36, -4, 96, 4, 112, -28, 32, 80, 96, -6, -80, 48, 0, -8, 54, -12, 8, -32, -56, 72, 44, -2, -96, 24, -16, 0, -12, 16, -88, 8, 36, -28, -40, -24, -8, 24, 20, 12, 0, 4, 56, 8, 28, -26, 24, -20, 0, -12, 4, 32, -100, 0, 48, -48, 16, -74, 24, 8, 0, -24, -12, -20, 0, 8, 0, -30, -8, 66, 16, 16, -44, -4, -18, -12, -116, 8, -4, 0, -8, 6, -160, 0, -104, 44, -8, 8, -60, -44, 40, -20, 0, -8, 32, -12, 72, -24, -2, 12, -112, -40, 6, 2, 8, 0, 48, -4, -66, 108, -88, -32, -32, 4, -164, 28, -16, 14, 0, 36, -76, 52, -24, -6, -60, -28, -20, -12, 16, 24, 60, 0, -92, 0, -12, -16, 80, -12, -4, 4, -32, 44, 132, -6, 0, 48, -24, 36, -24, -32, -84, 12, 0, 8, 56, -16, -56, 0, -6, 20, -36, -24, -24, 12, -48, 8, 40, 20, -2, 40, 0, 4, -84, 8, 26, -48, -54, 72, 6, 24, -108, -60, -72, 0, 24, -4, 120, -32, 0, 120, 0, 0, -88, 24, -20, 12, 0, 4, 0, -32, -60, 20, -16, 2, -24, 72, -42, 24, -16, 0, 56, 0, 12, 2, 32, -40, 70, -56, -8, -20, 44, 0, 0, -4, -30, -44, 136, -8, -36, -24, -32, -8, -84, -4, -48, 0, 62, -36, -14, 2, -10, -82, 6, 0, -60, 42, 116, 48, 0, 30, 18, 8, -64, 10, -4, -14, 24, 8, 4, -8, -34, 0, 14, -4, 80, -84, 0, 0, 8, 10, 48, 20, -30, -16, 0, -8, 92, -90, -2, -8, -54, 16, -120, 2, -18, -10, -136, 0, -48, 8, 0, -12, -20, 4, 56, 8, -16, -70, 24, -4, 0, 64, 8, -4, 20, 36, 146, -32, -36, 60, 124, 12, -16, 0, -72, -16, 0, -32, 44, 36, 2, -34, 48, 2], "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": "390.2.bb.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], [-1, 0], [-1, 0], [1, 0], [1, 0], [1, 0], [-3, 0], [-1, 0], [1, 0], [-1, 0], [2, -1], [-1, 0], [0, 0], [3, 0], [-1, 0], [1, 0], [-4, 0], [-1, 0], [4, 1], [1, 0], [3, 0], [-2, 1], [0, -2], [1, 0], [1, 0], [0, 0], [-1, 0], [-3, 0], [-2, 2], [1, 0], [-2, 4], [-1, 0], [-2, 1], [4, 0], [-3, 0], [1, 0], [1, -4], [-4, -1], [0, 0], [-1, 0], [4, 0], [-3, 0], [-6, 0], [2, -1], [1, 0], [0, 2], [3, 2], [-1, 0], [2, 0], [-1, 0], [4, 0], [0, 0], [-2, 1], [1, 0], [2, -1], [3, 0], [-4, -1], [2, -2], [8, 2], [-1, 0], [-4, 2], [2, -4], [-3, 0], [1, 0], [0, 0], [2, -1], [2, -2], [-4, 0], [0, 2], [3, 0], [-6, -4], [-1, 0], [0, 4], [-1, 4], [-1, 0], [4, 1], [-6, 3], [0, 0], [10, -4], [1, 0], [1, 0], [-4, 0], [6, 2], [3, 0], [-4, 0], [6, 0], [2, -2], [-2, 1], [-2, -7], [-1, 0], [0, 0], [0, -2], [2, -4], [-3, -2], [4, 1], [1, 0], [-2, 6], [-2, 0], [2, -1], [1, 0]]}