# Stored data for newform 5070.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "5070.2.a.k", "space_label": "5070.2.a", "level": 5070, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307264462, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1761905237335436047, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [2, 1]], [11, [0, 1]], [17, [0, 1]], [31, [-4, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{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": 0, "field_poly_is_real_cyclotomic": false, "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": "0.026", "prec": 17}, "analytic_rank_proved": true, "char_values": [5070, 1, [1691, 4057, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.020", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.871", "prec": 17}], "related_objects": ["EllipticCurve/Q/5070/k"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [13, 1]], "trace_display": [-1, 1, 1, -2], "traces": [0, 1, -1, 1, 1, 1, -1, -2, -1, 1, -1, 0, 1, 0, 2, 1, 1, 0, -1, -2, 1, -2, 0, -6, -1, 1, 0, 1, -2, 0, -1, 4, -1, 0, 0, -2, 1, -2, 2, 0, -1, 6, 2, -4, 0, 1, 6, 0, 1, -3, -1, 0, 0, -6, -1, 0, 2, -2, 0, 0, 1, -10, -4, -2, 1, 0, 0, -8, 0, -6, 2, 0, -1, -8, 2, 1, -2, 0, 0, 8, 1, 1, -6, 12, -2, 0, 4, 0, 0, -6, -1, 0, -6, 4, 0, -2, -1, -8, 3, 0, 1, -12, 0, 8, 0, -2, 6, 12, 1, 16, 0, -2, -2, -12, 2, -6, 0, 0, 0, 0, -1, -11, 10, 6, 4, 1, 2, 8, -1, -4, 0, -18, 0, 4, 8, 1, 0, -18, 6, 8, -2, 0, 0, 0, 1, 0, 8, -3, -2, -6, -1, -20, 2, 0, 0, 4, 0, 2, -8, -6, -1, 12, -1, -20, 6, 0, -12, -12, 2, 0, 0, -2, -4, -6, 0, -2, 0, 0, 6, 18, 1, -22, 0, -10, 6, -2, -4, 0, 0, -2, 2, 24, 1, -20, 8, 0, -3, -6, 0, -16, -1, -8, 12, 0, 0, 6, -8, -6, 0, 0, 2, -4, -6, 0, -12, -4, -1, -8, -16, -8, 0, 0, 2, -14, 2, 1, 12, -12, -2, 16, 6, 0, 0, 24, 0, 0, 0, 8, 0, 24, 1, -2, 11, 1, -10, -3, -6, 0, -4, 12, -1, 18, -2, 0, -8, 0, 1, 12, 4, 4, 0, 0, 18, 6, 0, -6, -4, -6, -8, 12, -1, 4, 0, 0, 18, 0, -6, -22, -8, 4, 2, -6, 0, -4, 0, -2, 0, -12, -1, -17, 0, -8, -8, -6, 3, 0, 2, 0, 6, 0, 1, 8, 20, -12, -2, -10, 0, 16, 0, 8, -4, 0, 0, 14, -2, -2, 8, 30, 6, 0, 1, 12, -12, 0, 1, 0, 20, 16, -6, 0, 0, -26, 12, -2, 12, -8, -2, -34, 0, -12, 0, 0, 2, 20, 4, -6, 6, 24, 0, 16, 2, 0, 0, -18, 0, 0, -6, 0, -18, 0, -1, -15, 22, -11, 0, -8, 10, -16, -6, 6, 2, 12, 4, -22, 0, 1, 0, 0, 2, 10, -2, 8, -24, 36, -1, 0, 20, -4, -8, 12, 0, 0, 3, -18, 6, 8, 0, 22, 16, 4, 1, 6, 8, 0, -12, 1, 0, 0, 0, -14, -6, -18, 8, 0, 6, 12, 0, 8, 0, -18, -2, 4, 4, 0, 6, 0, 0, 20, 12, 0, 4, -24, 1, -34, 8, 0, 16, 12, 8, 8, 0, -3, 0, -24, -2, -6, 14, -6, -2, 18, -1, 0, -12, -20, 12, 0, 2, -32, -16, 0, -6, -18, 0, -14, 0, 4, -24, -12, 0, 16, 0, 2, 0, 0, -8, -2, 0, -6, -24, 24, -1, 0, 2, 12, -11, -8, -1, -2, 10, -20, 3, 6, 6, 0, 0, 0, 4, 0, -12, -14, 1, -12, -18, 6, 2, -12, 0, 0, 8, -18, 0, 16, -1, -2, -12, 8, -4, 0, -4, -6, 0, -18, 0, -4, -18, -2, -6, 0, 0, 13, 6, 0, 4, 0, 6, 12, 8, 18, -12, 0, 1, -20, -4, -22, 0, 16, 0, -4, -18, -10, 0, 0, 6, -16, 22, -2, 8, 6, -4, 0, -2, 0, 6, 0, 0, -12, 4, -2, 0, 30, 2, -16, 0, 24, 12, -6, 1, 4, 17, -20, 0, -24, 8, 0, 8, 0, 6, -36, -3, -8, 0, -6, -2, -6, 0, 0, -6, -16, 0, -24, -1, 38, -8, -8, -20, -11, 12, 32, 2, 0, 10, 0, 0, -26, -16, 6, 0, -18, -8, -14, 4, -6, 0, 12, 0, 1, -14, 0, 2, 0, 2, -8, -8, -4, -30, 8, -6, 0, 0, 0, -1, 42, -12, 40, 12, -4, 0, -18, -1, 0, 0, -8, -20, 6, -16, -18, 6, -8, 0, -18, 0, 28, 26, 0, -12, 4, 2, 0, -12, -14, 8, 0, 2, 26, 34, 1, 0, 6, 12, 16, 0, -12, 0, -36, -2, -18, -20, 16, -4, 0, 6, -2, -6, 0, -24, 8, 0, 0, -16, 24, -2, -36, 0, 4, 0, 0, 18, 24, 0, -8, 0, 8, 6, -24, 0, 0, 18, 24, 0, 36, 1, -16, 15, -2, -22, 0, 11, -28, 0, 1, 8, 0, -10, -26, 16, -3, 6, 0, -6, 34, -2, 0, -12, 12, -4, -6, 22, 12, 0, -24, -1, 32, 0, 18, 0, -20, -2, 14, -10, 0, 2, 54, -8, -32, 24, 0, -36, 0, 1, 22, 0, 12, -20, 42, 4, 4, 8, 4, -12, -12, 0, 0, 0, 0, -3, 2, 18, 4, -6, 6, -8, 24, 0, 0, -22, -6, -16, 18, -4, 0, -1, -6, -6, 0, -8, 12, 0, 12, 12, 18, -1, 22, 0, 4, 0, -20, 0, 8, 14, 0, 6, -30, 18, -40, -8, 0, 0, 36, -6, -34, -12, -22, 0, 0, -8, -12, 0, 4, 18, 24, 2, -29, -4, -6, -4, 0, 0, 22, -6, -4, 0, 12, 0, -26, -20, -2, -12, 12, 0, 20, -4, -12, 24, -36, -1, -6, 34, -17, -8, 0, 0, 0, -16, -8, -12, -2, -8, 34, -8, -6, 0, -18, 3, -52, 0, 0, 24, 18, 2, -16, 6, 0, -14, 0, 6, 18, 2, 0, -18, 0, 1, 0, 0, 8, 12, -22, 20, 44, -12, -12, 0, -36, -2, 0, 32, -10, 16, 36, 0, 56, 6, 16, 18, 0, 0, -2, 14, 8, 0, -30, -4, 6, 24, 0, 12, 0, 0, 26, -16, 14, 0, -6, -2, -36, 0, -2, 0, -36, 8, 0, 2, 30, 0, 48, 6, 24, 24, 0, -24, 36, 1, -15, 0, 12, -2, -20, -12, -50, 11, 0, 8, 18, 1, -16, 2, 0, -10, -6, 20, 0, -3, 16, -6, 12, -6, -6, 0, 0, 0, 24, 0, 32, -4, -26, 0, -16, 12, -46, 14, -2, -1, 0, 12, 0, 18, -8, -6, 12, -2, 46, 12, -34, 0, 42, 0, 0, -8, -12, 18, -36, 0, 40, -16, 0, 1, 6, 2, 0, 12, 20, -8, 12, 4, 28, 0, -6, 4, 0, 6, 32, 0, 24, 18, 12, 0, 0, 4, 16, 18, -42, 2, 46, 6, 0, 0, -4, 0, 40, -13, -18, -6, -6, 0, 20, -4, 0, 0, 0, -6, 50, -12, 0, -8, 0, -18, -4, 12, 0, 0, 0, -1, 0, 20, -15, 4, -8, 22, -2, 0, -11, -16, -18, 0, 14, 4, -8, 18, 42, 10, -4, 0, -16, 0, -60, -6, 0, 16, 6, -22, 24, 2, 0, -8, 12, -6, -14, 4, -34, 0, -22, 2, 0, 0, 16, -6, 1, 0, 18, 0, -14, 12, 0, -4, 0, 2, -12, 0, 10, -30, 0, -2, 40, 16, 8, 0, 16, -24, -8, -12, 36, 6, 24, -1, 2, -4, 0, -17, 0, 20, 20, 0, -4, 24, 36, -8, 24, 0, 12, -8, 24, 0, -4, -6, 0, 36, 0, 3, 0, 8, -18, 0, 42, 6, 0, 2, 8, 6, 48, 0, 0, 0, 22, 6, -36, 16, 24, 0, 4, 24, 0, 1, -14, -38, 6, 8, -2, 8, 0, 20, 0, 11, 12, -12, -46, -32, 1, -2, -30, 0, 36, -10, 0, 0, 6, 0, -3, 26, -14, 16, 54, -6, 8, 0, -18, 18, 0, 8, -14, 14, 0, -4, 0, 6, 0, 0, 12, -12, 0, 0, 14, -1, 8, 14, -36, 0, 18, -2, -18, 0, -24, -2, 0, 8, 4, 8, 0, 4, 44, 30, 0, -8, 24, 6, 16, 0, 0, 0, -18, 0, -20, 1, 20, -42, -24, 12, 12, -40, 0, -12, -18, 4, 44, 0, -24, 18, 4, 1, 38, 0, -34, 0, -24, 8, -52, 20, 0, -6, 12, 16, 0, 18, 12, -6, 0, 8, 6, 0, 8, 18, 48, 0, -26, -28, -3, -26, -6, 0, 68, 12, -24, -4, 0, -2, -16, 0, -6, 12, -48, 14, 0, -8, -6, 0, 0, -2, 12, -26, 18, -34, 0, -1, 40, 0, 0, -6, 4, -12, 0, -16, -20, 0, -42, 12, 0, 0, 0, 36, 60, 2, -33, 18, -32, 20, 54, -16, 0, 4, 0, 0, 12, -6, 50, 2, -18, 6, -22, 0, 16, 24, -14, -8, 0, 0, 32, 0, 4, 16, 0, -24, 40, 2, -12, 36, 60, 0, -6, -4, 16, 0, 30, 0, 0, -18, 2, -24, -4, 0, 0, 8, 0, 0, 0, -8, 22, -6, -2, 24, 0, 0, 26, 0, -6, -18, -48, -24, -12, 0, 24, -36, -12, -1, 0, 16, 0, -15, -17, 2, 44, 22, 12, 0, -24, -11, 50, 28, -8, 0, 0, -1, -28, -8, -2, 0, 0, 10, -6, 26, -20, -16, 0, 3, 28, -6, 6, 0, 0, 6, 8, -34, 0, 2, 30, 0, -76, 12, 0, -12, -12, 4, 58, 6, 0, -22, 54, -12, 0, 0, -14, 24, 18, 1, -16, -32, -12, 0, 8, -18, 0, 0, 6, 20, 36, 2, 0, -14, -12, 10, -12, 0, -12, -2, 0, -54, -12, 8, -10, 32, -18, -24, 0, 0, 44, 36, 16, 0, 16, -1, 0, -22, -2, 0, 48, -12, -28, 20, 8, -42, 0, -4, -20, -4, 0, -8, -6, -4, 0, 12, -6, 12, -72, 0, 28, 0, -18, 0, 14, 0, -38, 3, -4, -2, 12, -18, 0, -4, -2, 6, -24, -6, 46, 8, 0, -24, -42, 0, 30, 0, 13, 22, 24, 6, 8, 16, 0, -18, 0, 4, 22, 0, 0, 1, 42, 6, -32, 6, 12, 0, 24, 8, -70, -12, 18, 0, 66, -12, 0, -12, 0, -18, -60, 1, 14, -22, -20, 0, 0, -4, 28, 0, -22, 20, -48, 0, 0, -8, 16, -14, -54, 0, 0, -6, -4, 30, -24, -18, 0, 40, -10, 8, 0, 0, 0, 0, 0, -36, -26, 6, -56, 34, -16, 12, 0, 22, 44, 0, -2, 0, -36, 8, -56, 12, 6, 0, -48, -4, -8, -18, 0, -24, 48, -2, -5, 29, 0, 4, -34, 6, 4, 4, 0, 0, 12, 0, 14, -22, -12, 6, 42, 4, 32, 0, -2, -12, 0, 0, 0, 26, 30, 20, -18, 2, 0, 12, -16, -12, 20, 0, 0, -20, 24, 4, -30, 12, -32, -24, -6, 36, 0, 1, 0, 6, 4, -34, -42, 17, 24, 8, -20, 0, 0, 0, 26, 0, -24, 16, 16, 8, 76, 12, 0, 2, 0, 8, 28, -34, 0, 8, -36, 6, 56, 0, -36, 18, -24, -3, -18, 52, -8, 0, 0, 0, 0, -24, -6, -18, 0, -2, 50, 16, -6, -6, 0, 0, -50, 14, 0, 0, -60, -6, 76, -18, -16, -2, 0, 0, 0, 18, -24, 0, -24, -1, -14, 0, 38, 0, -15, -8, 0, -12, -8, 22, -30, -20, 6, -44, -11, 12, -48, 12, 0, 0, 32, 36, 30, 2, -8, 0, 0, -32, 0, 10, 40, -16, 0, -36, -16, 0, 0, -56, -26, -6, -12, -16, 16, -18, 6, 0, -42, 0, -27, 2, -18, -14, 0, -8, 12, 0, -14, 30, 0, 4, -80, -6, -6, -24, -22, 0, 16, -12, 12, 0, 60, 0, -34, -26, 1, 16, 42, -14, 40, 0, 0, 6, -24, 2, 0, 36, 0, 0, -30, 2, -40, 0, -8, 36, 10, -8, -8, 0, -4, -2, 0, -30, 0, 0, 8, -48, 60, -6, -72, -24, 0, -24, 66, 0, 36, 24, 0, -36, 24, -1, 0, 15, 42, 0, 0, -12, 0, 2, 40, 20, -36, 12, -10, 50, -4, -11, 0, 0, 44, -8, -18, -18, 0, -1, 12, 16, 0, -2, 12, 0, -64, 10, -8, 6, 0, -20, -16, 0, 6, 3, 12, -16, 0, 6, -18, -12, 12, 6, 0, 6, -8, 0, -42, 0, 8, 0, -18, -24, 30, 0, 8, -32, 28, 4, 22, 26, 28, 0, 0, 16, 0, -12, 14, 46, 4, -14, 18, 2, -40, 1, 0, 0, 0, -12, 6, 0, -14, -18, -18, 8, -52, 6, 0, -12, 0, 2, 28, -46, 26, -12, 0, 34, 34, 0, 1, -42, 12, 0, 26, 0, 6, 8, -24, 12, 0, -18, 16, 36, 0, 0, 0, -40, -12, 16, -14, 0, 36, -1, -36, -6, 12, -2, 38, 0, -18, -12, 0, -20, 0, 8, 16, -12, 66, -4, 0, -28, 0, 0, -42, 6, -32, -4, -2, 0, 12, -6, -32, -32, 0, 0, -18, -24, -76, -18, 8, -12, 0, 0, 74, 0, 0, -4, 0, -16, -18, -18, 24, 42, 72, -2, 0, -46, -36, -6, 4, 0, 12, 0, 4, 4, -72, 0, 16, -40, 0, 13, 0, 18, 0, 6, 24, 6, 0, 0, 0, -20, -8, 4, -54, 0, -16, 0, 8, 0, 20, 6, -32, -50, -24, 12, 60, 0, -38, 8, 0, 0, 24, 18, -32, 4, 24, -12, 42, 0, -24, 0, 36, 0, 0, 1, 14, 0, -16, -20, -34, 15, 0, -4, -2, 8, 0, -22, -36, 2, 0, 0, 0, 11, 34, 16, -28, 18, 0, 0, 12, -14, 1, -4, 0, 8, -28, -18, 0, -42, 8, -10, 0, 4, -26, 0, 0, 16, -8, 0, -3, 60, -42, 6, -47, 0, 0, -16, -6, -6, -24, 22, 34, -24, -60, -2, 76, 0, 0, 8, -6, -12, 0, 6, 12, 14, 48, -4, 0, 34, -6, 0, 54, 22, 8, -2, 12, 0, -84, 0, 18, -16, -24, 6, 0, -1, -2, 0, 32, -18, 0, 0, 20, 14, 18, -12, 0, 0, -32, 4, -20, 0, 36, -2, -20, 12, 14, 0, 78, -10, 0, 30, 0, 0, 24, 2, 10, -40, 54, -16, -32, -8, 56, 0, -32, -16, 0, 24, 10, 8, 0, 12, 36, -36, 22, -6, 0, -24, 0, 1, -18, -2, 22, 4, -30, 0, -64, 17, 12, 0, -14, -20, 52, -20, 42, 0, 0, 4, 72, -24, 4, -36, 0, 8, 0, -24, 4, 0, -6, -12, -12, 8, -12, -24, -66, 0, -34, 4, 0, 6, 16, 0, 16, -36, 0, 0, 72, -3, 0, 0, 2, -8, -90, 18, 68, 0, 4, -42, 0, -6, 0, 0, 6, -2, -48, -8, 58, -6, 24, -48, -2, 0, -92, 0, 0, 0, -6, -22, -28, -6, -6, 36, 0, -16, -70, -24, 18, 0, 48, -4, 24, -24, 0, 0, 48, -1, -19, 14, -6, 38, 0, -6, 0, -8, 0, 2, -72, -8, -16, 0, 12, -20, -24, 0, 0, -11, 12, -12, 72, 12, -8, 46, 18, 32, -48, -1, 0, 2, 22, 30, -2, 0, 10, -36, 4, 10, -54, 0, -32, 0, -20, -6, -42, 0, 32, 3, 8, -26, 0, 14, 6, -16, 0, -54, 12, 6, -72, -8, -30, 0, 0, 18, -52, -18, -40, 0, 36, -8, -34, 14, 0, -14, -54, 0, 16, 4, 36, 0, 0, -6, 0, 0, -34, 0, 36, -12, 0, 12, -22, 0, -14, 0, 0, -14, 0, 1, -60, -8, -38, -14, -12, 36, -96, 0, 0, -18, 4, 2, 0, 18, 6, 0, 24, 24, 0, 2, -70, 0, -29, -8, -12, -4, 30, -8, -6, 0, 30, -4, 0, -44, 0, -30, 0, 0, -16, 8, 22, -24, 12, -6, -18, -16, -4, 0, 48, 0, -40, 0, 12, 18, 16, 0, 38, 20, -26, -1, 0, -20, 0, 42, -2, 24, 0, -12, 32, -12, 12, 40, 48, 0, 8, 12, 20, 18, 12, -4, 0, -44, -12, 0, 0, 24, 0, -18, -36, -4, 0, -1, -92, -38, -6, 0, 18, 34, 72, 0, -17, 24, 36, -8, -18, 52, 0, -20, 54, 0, 44, 6, 0, -12, -4, -16, 14, 0, -8, -18, -102, -12, 40, 6, -2, 0, 0, -8, 0, -6, 34, 0, 30, -8, 0, -18, -6, -48, 0, 0, -16, 26, -18, 28, 13, 3, 34, 26, -52, 6, 0, 0, -20, -68, 0, -12, -78, 24, 58, 4, 18, 0, 0, 2, 0, 16, -16, 0, 0, 6, 64, -12, 0, 48, 12, -14, -10, 0, 0, 8, -72, 6, 88, 0, 18, 0, 78, 2, -50, -12, 0, 26, 30, -18, 0, 34, 0, 0, -48, 1, 16, -40, 0, 0, -20, 0, 20, 6, 8, -4, -24, 12, -58, 0, -22, 16, 0, 20, -68, 0, 44, 42, -24, -12, 16, 0, -12, 0, -78, 0, -28, -36, -36, -60, -4, -2, 0, 33, 0, -18, -90, 32, 0, -20, -10, -54, -48, 16, -92, 0, 36, -4, -36, 0, 0, 0, 56, -12, -24, 6, 0, -50, 16, -2, -16, 18, 10, -6, 0, 22, 0, 0, 0, -16, -2, -24, -78, 14, -44, 8, 8, 0, 66, 0, 6, -32, -30, 0, -90, -4, 80, -16, 6, 0, 0, 24, -26, -40, 0, -2, -78, 12, -68, -36, 0, -60, -12, 0, -17, 6, 26, 4, 0, -16, 0, 0, 14, -30, 36, 0, 0, 0, -6, 18, -12, -2, 0, 24, -36, 4, 12, 0, -34, 0, -2, -8, -6, 0, 0, 0, -36, 0, 72, 8, 30, -22, 0, 6, 0, 2, -40, -24, 30, 0, -16, 0, 50, -26, 48, 0, 72, 6, 28, 18, 24, 48, 0, 24, 40, 12, 0, 0, 0, -24, -6, 36, 36, 12, -24, 1, 32, 0, -15, -16, 4, 0, 8, 15, 12, 17, 0, -2, 0, -44, -20, -22, -54, -12, 0, 0, -50, 24, 6, 11, -24, -50, 0, -28, 48, 8, 0, 0, 18, 0, 0, 1, 10, 28, -16, 8, -48, 2, -16, 0, 0, 0, 48, -10, 0, 6, -6, -26, 36, 20, -36, 16, 0, 0, -30, -3, 0, -28, 16, 6, -8, -6, -8, 0, 12, 0, 0, -6, -80, -8, -6, 34, -42, 0, 0, -2, 0, -30, -36, 0, -6, 76, 24, -12, -6, 0, -38, 12, 32, 12, 0, -4, 0, -58, -26, -6, 0, 0, -4, 22, -16, -54, 0, 12, 30, 0, -46, 0, -48, 14, -24, -24, -2, -18, -72, -1], "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.a.g", "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], [1], [-1], [1], [1], [1], [-1], [-2], [-1], [1], [-1], [0], [1], [0], [2], [1], [1], [0], [-1], [-2], [1], [-2], [0], [-6], [-1], [1], [0], [1], [-2], [0], [-1], [4], [-1], [0], [0], [-2], [1], [-2], [2], [0], [-1], [6], [2], [-4], [0], [1], [6], [0], [1], [-3], [-1], [0], [0], [-6], [-1], [0], [2], [-2], [0], [0], [1], [-10], [-4], [-2], [1], [0], [0], [-8], [0], [-6], [2], [0], [-1], [-8], [2], [1], [-2], [0], [0], [8], [1], [1], [-6], [12], [-2], [0], [4], [0], [0], [-6], [-1], [0], [-6], [4], [0], [-2], [-1], [-8], [3], [0], [1]]}