# Stored data for newform 6270.2.a.l, downloaded from the LMFDB on 19 April 2024. {"label": "6270.2.a.l", "space_label": "6270.2.a", "level": 6270, "weight": 2, "hecke_orbit": 12, "hecke_orbit_code": 49539595934636158, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2023840264930280173, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [4, 1]], [13, [-2, 1]], [17, [-6, 1]], [23, [0, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 25080, "fricke_eigenval": -1, "atkin_lehner_string": "+--+-", "analytic_conductor": 50.0662020673428, "hecke_ring_index": 1, "level_radical": 6270, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [6270, 1, [4181, 5017, 2851, 3631], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "0.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.073", "prec": 17}, {"__RealLiteral__": 0, "data": "1.998", "prec": 17}, {"__RealLiteral__": 0, "data": "0.241", "prec": 17}, {"__RealLiteral__": 0, "data": "5.018", "prec": 17}], "related_objects": ["EllipticCurve/Q/6270/l"], "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], [11, 1], [19, -1]], "trace_display": [-1, 1, 1, -4], "traces": [0, 1, -1, 1, 1, 1, -1, -4, -1, 1, -1, -1, 1, 2, 4, 1, 1, 6, -1, 1, 1, -4, 1, 0, -1, 1, -2, 1, -4, -6, -1, -4, -1, -1, -6, -4, 1, 2, -1, 2, -1, 6, 4, 8, -1, 1, 0, 0, 1, 9, -1, 6, 2, -6, -1, -1, 4, 1, 6, 0, 1, 14, 4, -4, 1, 2, 1, -4, 6, 0, 4, -12, -1, -10, -2, 1, 1, 4, -2, 8, 1, 1, -6, 0, -4, 6, -8, -6, 1, -6, -1, -8, 0, -4, 0, 1, -1, -10, -9, -1, 1, 6, -6, -16, -2, -4, 6, 12, 1, 2, 1, 2, -4, 6, -1, 0, -6, 2, 0, -24, -1, 1, -14, 6, -4, 1, 4, 8, -1, 8, -2, 12, -1, -4, 4, 1, -6, 18, 0, -4, -4, 0, 12, -2, 1, -6, 10, 9, 2, 6, -1, 8, -1, 6, -4, -4, 2, 14, -8, -6, -1, 0, -1, 20, 6, -1, 0, 24, 4, -9, -6, 1, 8, 18, 6, -4, -1, 0, 6, 0, 1, -10, 8, 14, 0, 2, 4, -6, 0, -4, -1, 24, 1, 14, 10, 2, 9, 18, 1, -16, -1, -4, -6, 24, 6, 6, 16, 0, 2, -1, 4, -4, -6, -12, -12, 8, -1, 16, -2, -10, -1, 12, -2, 8, 4, 1, -6, -12, 1, -10, 0, 4, 6, 6, -2, 0, 0, 8, 24, -24, 1, 14, -1, 1, 14, 9, -6, 2, 4, 0, -1, 12, -4, 0, -8, 6, 1, 30, -8, -8, 2, -6, -12, -12, 1, -6, 4, -6, -4, 6, -1, -16, 6, -8, -18, -1, 0, 2, 4, -4, 4, 30, 0, 8, -12, 1, 2, -24, -1, 19, 6, -10, -10, -6, -9, 0, -2, -1, -6, 0, 1, -32, -8, 6, 1, 14, -6, -28, 4, -16, 4, -24, -2, 26, -14, -4, 8, -6, 6, 6, 1, 12, 0, 6, 1, 2, -20, 2, -6, 0, 1, 8, 0, 2, -24, -4, -4, 14, 9, 6, 6, 4, -1, -8, -8, 0, -18, 0, -6, -10, 4, 2, 1, 18, 0, -12, -6, -24, 0, -24, -1, 1, 10, 1, -8, -10, -14, 8, 0, 6, -2, 24, -4, -22, 6, 1, 0, -12, 4, 8, 1, 8, -24, 24, -1, 4, -14, 8, -10, 6, -2, 0, -9, 12, -18, 8, -1, 14, 16, -4, 1, -30, 4, -8, 6, 1, -24, -2, -6, -10, -6, 18, -16, 0, 0, 0, -2, -4, 1, 12, -4, -10, 4, 0, 6, 6, 12, -56, 12, -2, -8, 24, 1, 38, -16, -6, 2, 0, 10, 8, 1, 9, -12, 36, 2, -6, -8, 6, -4, -6, -1, -6, 6, 8, 12, -8, -1, 14, 10, 6, 0, 30, -4, 8, -6, -4, -6, 12, 2, 16, 0, 14, 0, -8, -8, 1, -24, -6, 24, -24, -1, 4, -14, 0, 1, -10, -1, -16, -14, 20, -9, -36, 6, -36, -2, -1, -4, 48, 0, -4, 1, 24, -12, -12, 4, 6, 0, -9, 8, -18, -6, 40, -1, 1, -30, -16, 8, 0, 8, 18, -2, 42, 6, -28, 12, -4, 12, -24, -1, -23, 6, 0, -4, 12, 6, 12, 4, 0, -6, -9, 1, -10, 16, -10, -6, 2, 8, -4, 18, 14, 1, -6, 0, -32, -2, 2, -4, 42, 4, 16, -4, -6, -30, 12, 0, 6, -8, -4, 12, -42, -1, -4, -2, 24, 24, 0, 1, -22, -19, 14, -6, 0, 10, 6, 10, 2, 6, 12, 9, -4, 0, 18, 2, 6, 1, -24, 6, -16, 0, -12, -1, -10, 32, -4, 8, 1, -6, -40, -1, 24, -14, 0, 6, -22, 28, 6, -4, 18, 16, 20, -4, 0, 24, 24, 2, 1, -26, -1, 14, 12, 4, -40, -8, -4, 6, 8, -6, 18, -6, -12, -1, 18, -12, -4, 0, 8, -6, 0, -1, 0, -2, 16, 20, -18, -2, 12, 6, -10, 0, 36, -1, -10, -8, 12, 0, -4, -2, 0, 24, 8, 4, -14, 4, -34, -14, 1, -9, -6, -6, 40, -6, -12, -4, -36, 1, 18, 8, -10, 8, -12, 0, -4, 18, 4, 0, -4, 6, 36, 10, 6, -4, 6, -2, 2, -1, 0, -18, -24, 0, -10, 12, 8, 6, 0, 24, -2, 0, -24, 24, 24, 1, 64, -1, 14, -10, -6, -1, -16, 8, 1, 10, 48, 14, 50, -8, 9, 0, 4, -6, 20, 2, 2, -24, 48, 4, 6, 22, 0, -6, -48, -1, -4, 0, 12, 12, 8, -4, -34, -8, 0, -1, -30, -8, -8, 24, 6, -24, 0, 1, -22, -4, 30, 14, 18, -8, -4, 10, -8, -6, 6, 2, 12, 0, -6, 9, 14, -12, 44, 18, -12, -8, -24, 1, 28, -14, -6, -16, 18, 4, 0, -1, -6, 30, 10, -4, 0, 8, 6, -6, -30, -1, -28, 24, -16, 2, 20, 6, 8, 10, -8, 6, 30, -18, -16, 16, -1, 0, -12, 0, 38, 0, 2, 2, 54, 4, 24, -1, -4, -12, -12, 4, 7, 10, 30, -4, -9, 0, -4, -6, 8, -6, 0, -12, 26, 56, 1, -12, 6, 2, -4, 8, -24, -24, 0, -1, 18, -38, 19, 16, -8, 6, -8, -2, -10, 0, -4, -10, -46, -8, -6, -1, 18, -9, -52, 12, 0, -36, 24, -2, -32, 6, -1, 8, 0, -6, 0, 4, 0, 6, 24, 1, -36, 6, -32, -6, -10, -8, 20, -12, 6, 8, 12, 1, 0, -14, 14, -10, -48, -6, 8, 0, -28, -30, -24, 4, 2, -8, -16, 6, -30, 4, 9, 6, -24, -12, -6, -2, -34, -16, 26, 0, -30, -14, 0, 0, -4, 8, -12, 8, -20, -1, -6, 24, -42, 6, 24, -24, 6, 24, -72, 1, -15, -4, 12, 14, 14, 0, -4, -1, 6, 10, 0, 1, 16, 16, 2, 14, -18, -20, 6, 9, 2, 36, -24, -6, 18, 36, 0, 2, 0, 1, -4, 4, 8, -48, -16, 0, 26, 4, 2, -1, 8, -24, 0, 12, -4, 12, -6, -4, -34, -6, 14, 0, 54, 9, 24, -8, 6, 18, 60, 6, -10, -40, 4, 1, 6, -1, 16, 30, -8, 16, -24, -8, 14, 0, 0, -8, 84, -18, -28, 2, 0, -42, -24, -6, -1, 28, -10, -12, 42, 4, 20, -12, 2, 24, -4, 1, -32, 23, 18, -6, 6, 0, 8, 4, -12, -12, 10, -6, -10, -12, -24, -4, -12, 0, 8, 6, -24, 9, 0, -1, 0, 10, 1, -16, 16, 10, 56, 6, 1, -2, -36, -8, -46, 4, -10, -18, 54, -14, -56, -1, 8, 6, -24, 0, 12, 32, 6, 2, 54, -2, -6, 4, 24, -42, 8, -4, 2, -16, -22, 4, 0, 6, -4, 30, 1, -12, 0, 0, 14, -6, -12, 8, 16, 4, -12, -12, 8, 42, -24, 1, -80, 4, 8, 2, -10, -24, -8, -24, 24, 0, 0, -1, -34, 22, 4, 19, -12, -14, 14, 6, 8, 0, 48, -10, 6, -6, 6, -10, -96, -2, 32, -6, 0, -12, 0, -9, -12, 4, 12, 0, 6, -18, 36, -2, 8, -6, -24, -1, -36, 24, 14, -6, 30, 16, -24, 0, -4, 12, -2, 1, 50, 10, -30, -32, 14, 4, -72, -8, -8, -1, -72, 6, -34, 40, 1, 1, -66, -24, 0, 14, -2, 0, 36, -6, 9, 22, -10, -28, 18, -6, 56, 4, 18, -18, 2, -16, 2, -20, 0, 4, -60, 0, -6, -24, 0, -24, -48, -2, -10, -1, -4, 26, 0, 1, 12, -14, 12, -12, 12, -4, -20, 40, -10, 8, 0, 4, 40, -6, 0, -8, -24, 6, -4, -18, 6, 6, -42, 12, -16, 1, -56, -18, -12, 12, 30, 4, -2, 0, 42, -8, 32, 6, 24, 0, -8, 1, -10, 0, 38, 2, 54, -16, 8, -20, -6, 18, -60, 2, 24, -12, 0, -6, 12, 10, -12, 0, 8, -36, 0, 1, 2, 10, 9, 8, -6, -12, -4, 0, 36, 4, -1, 2, -32, 0, -6, -24, -96, -8, -32, -4, 6, 14, 48, -4, 6, 34, -6, 14, -12, -1, -56, 9, -6, 6, -16, 6, 0, -40, 8, 6, -66, 12, 0, 4, -8, 36, -72, -1, -33, -18, 14, -8, 6, 10, -1, -8, 6, 12, -72, 0, 50, 4, 30, -18, 2, -4, -10, 0, 8, 4, 24, -6, 64, -36, -4, -10, -8, -6, 8, 4, 12, -6, 0, 2, 30, -2, 16, 1, -54, 0, 0, 18, 14, 24, 8, 0, 4, 10, -8, -12, -54, -8, -16, -6, 1, 0, 36, -24, -34, 2, -6, 0, -42, 24, -24, -24, -24, -24, 12, -1, -12, -64, 4, 1, 19, -14, 8, 10, 0, 6, -12, 1, -10, 16, -10, -8, 0, -1, 20, -10, -16, -48, 4, -14, -6, -50, 20, 8, 12, -9, 32, 0, -36, -4, 0, 6, 16, -20, -36, -2, -18, -2, 44, 24, -1, -48, -12, -4, 50, -6, 48, -22, -6, 0, 0, 6, -4, 48, -12, 1, 8, 4, 24, 0, -32, -12, -18, -12, -12, -8, -60, 4, -36, 34, 6, 8, 12, 0, -36, 1, -9, 30, 60, 8, 14, 8, -18, -24, 4, -6, -52, 24, 40, 0, -28, -1, 36, 22, 1, 4, 0, -30, -16, -14, -16, -18, -48, 8, -34, 4, 0, -10, -66, 8, -24, 6, 18, -6, 24, -2, -32, -12, 42, 0, 26, 6, -16, -9, -28, -14, -72, 12, 2, -44, -4, -18, 0, 12, 20, 8, -24, 24, -12, -1, -6, -28, -23, 14, 48, 6, 16, 16, 0, -18, 6, -4, -22, 0, 12, 1, -78, 6, 40, -30, 12, -10, 0, 4, 26, 0, 0, -8, 42, -6, 6, 6, -9, 30, -36, 1, -10, 28, -10, -24, 2, 16, -4, -2, -10, -20, -24, -6, 0, -8, 2, -10, -54, 8, -6, -6, -4, -30, 24, 18, 0, 16, 14, -16, -60, 1, 16, 0, -6, 12, 8, 0, 14, -38, -32, 0, -8, -2, 8, -2, 2, -54, 12, -4, 38, -24, 42, 1, 96, 4, -4, 12, 16, 12, 0, -4, -5, -7, -6, -10, 14, -30, -56, 4, 12, 9, -6, 0, 2, 4, 6, 6, 42, -8, 8, 6, -4, 0, 24, 12, 4, -26, -42, -56, 30, -1, 0, 12, -4, -6, -8, -2, 36, 4, 24, -8, 42, 24, -4, 24, 0, 0, -14, 1, -8, -18, -22, 38, -54, -19, 0, -16, 14, 8, 0, -6, -10, 8, 0, 2, -10, 10, 20, 0, 6, 4, -96, 10, -70, 46, 2, 8, -48, 6, 32, 1, 12, -18, 48, 9, 18, 52, -4, -12, -84, 0, 0, 36, 18, -24, -12, 2, 14, 32, 6, -6, 36, 1, 32, -8, -24, 0, -60, 6, -70, 0, -16, -4, -20, 0, -24, -6, -12, -24, -120, -1, 38, 36, -10, -6, 1, 32, -8, 6, -4, 10, -12, 8, 18, -20, 1, 12, 0, -6, 72, -8, -40, -12, 24, -1, -10, 0, 24, 14, 0, -14, 80, 10, 0, 48, 8, 6, -24, -8, -22, 0, 48, 28, -10, 30, 6, 24, -12, -4, 21, -2, 18, 8, 12, 16, 24, -6, 20, 30, 9, -4, 26, -9, 0, -6, -22, 24, 32, 12, 24, 6, 72, 2, -70, 34, 1, 16, -54, -26, -64, 0, -1, 30, -24, 14, -12, 0, 12, 0, 6, 4, -56, -8, -40, 12, 8, -8, 64, 20, -4, 1, 30, 6, -18, -24, 8, 42, -60, -6, 0, -24, 18, 24, 54, -6, 24, -24, -12, 72, 6, -1, 36, 15, 18, 4, 4, -12, 0, -14, -4, -14, -36, 0, 50, 4, 8, 1, 12, -6, -8, -10, 0, 0, 24, -1, 6, -16, 0, -16, -42, -2, -28, -14, 16, 18, 0, 20, -16, -6, -18, -9, -12, -2, 16, -36, 12, 24, -120, 6, 0, -18, -10, -36, 30, 0, 8, -2, 36, 0, -36, -1, -32, 4, -10, -4, 14, -8, 56, 48, 12, 16, 10, 0, 62, -26, -4, -4, -78, -2, -16, 1, 0, -8, 36, 24, -30, 0, 8, -12, 54, 4, -4, -12, -14, 6, -8, 4, 38, 34, -34, 6, 0, -14, -76, 0, 1, -54, -12, -9, -34, -24, -6, 8, 12, -6, -2, -18, 40, -60, -24, -6, 28, 10, -12, 40, -10, -4, 0, -1, -36, -6, 24, 1, -70, -16, 18, -30, 6, 8, 72, -16, -10, 24, 60, 8, 0, -14, -12, 0, 54, 0, 2, 8, -4, -84, 0, 18, 16, 28, 4, -2, -66, 0, -76, 42, -4, 24, 60, 6, 38, 1, 36, -28, 0, 10, 12, 12, 6, -42, 12, -4, -24, -20, 6, 12, -10, -2, 72, -24, 2, 4, -72, -1, 26, 32, 0, -23, 60, -18, 40, 6, -24, -6, -14, 0, 6, -8, -10, -4, -6, 12, -28, 12, 8, -10, -56, 6, -70, 10, 0, 12, 66, 24, 32, 4, -2, 12, 6, 0, 112, -8, -24, -6, -42, 24, 24, -9, 24, 0, 48, 1, 74, 0, 64, -10, 38, -1, -18, 16, 14, -16, 48, -10, -36, -56, -6, -6, 96, -1, -64, 2, -16, 36, 0, 8, 0, 46, 1, -4, 16, 10, -104, 18, 48, -54, 8, 14, -44, 56, 50, 1, 48, -8, 20, -6, 9, 24, -24, 0, -47, -12, 4, -32, 66, -6, 36, -2, 20, -54, 24, 2, 62, 6, 2, -4, -6, -24, 72, 42, 48, -8, 0, 4, -24, -2, 6, 16, -30, 22, -40, -4, 0, 0, -24, -6, -6, 4, -48, -30, 36, -1, 20, 12, -4, 0, -6, 0, 28, -14, 12, 6, -24, 12, 40, -8, 8, -16, 60, -4, -58, 12, -34, 12, 78, -8, -8, -42, 0, 24, -48, -1, -22, 80, -30, -4, 14, -8, -52, -2, -8, 10, -48, 24, 26, 8, 6, 24, -6, -24, 1, 0, 0, 0, 0, 1, 30, 34, -22, -22, -54, -4, 20, -19, 30, 12, 8, 14, -32, -14, 18, -6, 4, -8, 0, 0, -4, -48, 0, 10, 108, -6, -8, 6, -78, -6, 12, 10, 6, 96, -60, 2, -58, -32, 12, 6, 16, 0, -28, 12, -6, 0, -24, 9, -20, 12, 14, -4, 6, -12, -56, 0, 44, -6, -24, 18, -8, -36, -12, 2, 0, -8, 20, 6, -24, 24, 1, 1, 38, 36, 28, -24, -18, -14, 8, 6, -6, -30, -16, -16, -22, 24, 18, 0, -42, 4, -24, -12, 0, 2, -96, -1, -31, -50, -6, -10, 4, 30, 0, 32, 10, -14, -36, -4, 8, 72, 0, 8, -18, 8, 0, 1, 6, 72, 24, -6, -10, 34, -30, -40, 0, -1, -12, -1, -28, 66, -16, 24, -46, 0, -16, -14, -78, 2, 40, 0, 20, -36, -48, 6, -32, -9, 8, -22, -8, 10, -36, 28, -8, -18, -60, 6, 0, -56, 30, -4, -36, -18, 68, 18, -16, -2, -72, 16, -82, -2, -1, 20, 42, 0, -8, -4, -12, 60, 48, 0, 48, 6, 38, 24, 12, 0, 0, 24, 2, 48, -4, 2, 12, 10, 54, 1, 84, 4, 8, -26, 24, 0, 0, -1, 28, -12, -4, 14, 96, -12, -12, 12, -12, -12, 10, 4, 14, 20, 7, -40, 6, 10, -4, -8, 30, 0, 36, -4, 36, -40, -9, 6, 0, 0, 56, 8, -4, 24, -36, -6, -18, 4, 8, 18, 18, -6, -64, -6, 0, 42, 40, -12, -34, 16, 26, -1, 36, 56, -6, 18, 1, 12, 48, -12, -32, -30, 6, -4, 0, 2, -16, 0, -4, -42, -24, 8, 36, -32, -24, -6, 0, -24, -32, 0, 0, 8, 48, -1, -58, 10, 18, 0, -54, -38, 0, -2, 19, -54, 18, 16, 42, -8, -8, 20, 66, 6, 88, -18, -8, 60, -28, -2, -10, -24, -10, 12, -18, 0, 112, 6, -4, -12, -24, -10, 24, 12, -46, 0, 18, -8, -24, 36, -6, 0, 48, -1, -4, -2, 18, -10, -23, -9, -52, -8, -52, 6, -14, 12, -32, 4, 0, 0, 54, -36, -76, -4, 24, 1, -24, -2, 12, 32, -32, 0, 84, 6, -40, 24, -1, 96, 12, 8, 86, 32, 0, 4, -96, -6, 56, -14, 0, -48, 24, 4, 74, -6, 0, -34, 42, 6, -9, -14, 24, 12, 60, 1, -20, 56, -36, -9, -10, 6, -76, -6, -32, 16, -60, -6, -58, 0, -10, 40, -2, -8, -64, -6, 20, 66, -24, -12, 2, 0, 6, -4, -54, 8, -40, -36, 12, 72, -4, 1, 0, 33, 0, 18, 102, -14, -8, 8, 14, -6, -24, -10, -70, 1, -48, 8, 18, -6, -6, -12, 8, 72, 24, 0, -12, -50, -28, -4, -32, -30, -40, 18, -24, -2, 120, 4, 0, 10, 2, 0, 54, -8, -56, -4, -16, -24, 0, 6, 42, -64, -30, 36, -30, 4, -40, 10, 9, 8, 16, 6, -82, -8, -24, -4, 102, -12, 68, 6, -6, 0, 120, -2, -17, -30, -34, 2, 60, -16, 12, -1, 26, 54, -36, 0, 32, 0, -30, -18, 6, -14, -30, -24, 0, -8, 6, 0, 14, -4, -4, -10, -102, 8, 144, 12, -12, 54, 36, 8, -42, 16, -20, 6, 8, -1, 44, 0, -6, -36, -4, 24, -58, 34, -42, -2, -18, 6, 40, 0, 24, 42, 0, -24, 8, 24, 6, 24, -54, 24, 0, 24, -72, -12, 24, 1, -32, 12, -15, 64, -22, -4, 80, -1, 12, -19, 0, 14, 12, -8, 14, -10, 18, 0, 16, -6, -4, 12, -48, -1, 0, 10, 6, -16, -90, 10, -72, 8, 0, 0, 6, 1, -70, -20, 16, 10, 0, 16, 16, 48, 2, -4, 48, 14, -36, 6, -18, 50, -48, -20, 12, -8, 6, -12, -12, 9, 108, -32, 2, 0, -4, 36, 40, 4, -24, 0, -24, -6, -34, -16, 18, 20, 66, 36, -6, 2, 0, 18, 60, 2, 6, -44, 0, -24, 90, 1, -100, 48, -4, 12, -24, 4, -20, -50, 8, 6, 16, -48, 14, 22, -16, 6, 96, 0, 126, 0, 26, -6, -60, 4, -12, -48, 2, 12, -24, -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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "6270.2.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], [1], [-1], [1], [1], [1], [-1], [-4], [-1], [1], [-1], [-1], [1], [2], [4], [1], [1], [6], [-1], [1], [1], [-4], [1], [0], [-1], [1], [-2], [1], [-4], [-6], [-1], [-4], [-1], [-1], [-6], [-4], [1], [2], [-1], [2], [-1], [6], [4], [8], [-1], [1], [0], [0], [1], [9], [-1], [6], [2], [-6], [-1], [-1], [4], [1], [6], [0], [1], [14], [4], [-4], [1], [2], [1], [-4], [6], [0], [4], [-12], [-1], [-10], [-2], [1], [1], [4], [-2], [8], [1], [1], [-6], [0], [-4], [6], [-8], [-6], [1], [-6], [-1], [-8], [0], [-4], [0], [1], [-1], [-10], [-9], [-1], [1]]}