# Stored data for newform 2450.2.a.bg, downloaded from the LMFDB on 19 April 2024.
{"label": "2450.2.a.bg", "space_label": "2450.2.a", "level": 2450, "weight": 2, "hecke_orbit": 33, "hecke_orbit_code": 144115188109412754, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1595714830161624833, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [-3, 1]], [11, [5, 1]], [13, [-6, 1]], [17, [-1, 1]], [19, [-3, 1]], [23, [0, 1]], [37, [-8, 1]]], "qexp_display": "q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9800, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 19.563348495213695, "hecke_ring_index": 1, "level_radical": 70, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [2450, 1, [1177, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "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": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "1.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.099", "prec": 17}, {"__RealLiteral__": 0, "data": "5.003", "prec": 17}], "related_objects": ["EllipticCurve/Q/2450/bg"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, -1]], "trace_display": [1, 3, 0, 0], "traces": [0, 1, 1, 3, 1, 0, 3, 0, 1, 6, 0, -5, 3, 6, 0, 0, 1, 1, 6, 3, 0, 0, -5, 0, 3, 0, 6, 9, 0, -6, 0, 4, 1, -15, 1, 0, 6, 8, 3, 18, 0, -11, 0, -8, -5, 0, 0, -2, 3, 0, 0, 3, 6, 4, 9, 0, 0, 9, -6, -4, 0, 2, 4, 0, 1, 0, -15, 9, 1, 0, 0, -10, 6, 7, 8, 0, 3, 0, 18, -2, 0, 9, -11, -11, 0, 0, -8, -18, -5, 11, 0, 0, 0, 12, -2, 0, 3, 10, 0, -30, 0, 0, 3, -4, 6, 0, 4, 3, 9, -18, 0, 24, 0, -1, 9, 0, -6, 36, -4, 0, 0, 14, 2, -33, 4, 0, 0, -14, 1, -24, 0, -8, -15, 0, 9, 0, 1, -3, 0, 11, 0, -6, -10, -30, 6, 0, 7, 0, 8, 12, 0, 8, 3, 6, 0, 0, 18, -4, -2, 12, 0, 0, 9, -19, -11, 0, -11, -12, 0, 23, 0, 18, -8, -2, -18, 0, -5, -12, 11, 3, 0, -10, 0, 6, 0, 0, 12, -5, -2, 0, 0, -6, 3, -19, 10, 0, 0, -22, -30, 10, 0, 27, 0, 0, 3, 0, -4, 0, 6, -15, 0, 1, 4, -30, 3, 0, 9, 0, -18, 21, 0, 6, 24, -22, 0, 0, -1, 28, 9, 14, 0, 0, -6, 6, 36, 0, -4, -6, 0, 4, 0, 5, 14, 0, 2, 0, -33, 18, 4, -33, 0, -27, 0, 0, -14, 0, 1, -2, -24, 0, 0, -36, -8, -10, -15, 0, 0, 33, 9, -18, 0, 6, 1, 0, -3, 0, 0, -30, 11, 24, 0, 14, -6, 13, -10, 0, -30, 0, 6, -16, 0, 30, 7, 14, 0, 0, 8, -45, 12, 0, 0, 0, 8, 0, 3, 0, 6, -13, 0, -12, 0, -6, 18, 10, -4, 0, -2, 4, 12, 30, 0, 9, 0, 3, 9, 0, -19, -54, -11, 0, 0, -17, -11, 48, -12, 0, 0, -29, 23, -3, 0, -20, 18, 0, -8, 0, -2, 19, -18, 8, 0, 54, -5, 18, -12, 0, 11, 0, 3, 26, 0, -10, -10, 42, 0, 0, 6, 8, 0, -66, 0, 0, 12, -4, -5, 0, -2, -36, 0, 9, 0, -42, -6, 6, 3, 0, -19, -48, 10, 8, 0, 0, 0, -24, -22, 0, -30, -10, 10, 0, 0, 37, 27, 24, 0, 0, 0, -40, 3, 21, 0, -9, -4, 0, 0, 0, 6, 33, -15, 39, 0, 20, 1, -12, 4, 0, -30, 0, 3, -90, 0, -36, 9, 1, 0, 0, -18, 0, 21, -28, 0, 0, 6, 37, 24, 0, -22, 36, 0, 33, 0, 55, -1, 24, 28, 0, 9, 25, 14, 9, 0, 38, 0, 8, -6, 0, 6, 4, 36, 0, 0, -12, -4, 40, -6, 0, 0, 24, 4, 6, 0, 48, 5, 0, 14, 0, 0, -34, 2, -57, 0, -12, -33, -6, 18, 0, 4, 0, -33, 36, 0, -36, -27, 30, 0, 0, 0, 69, -14, 14, 0, 0, 1, 27, -2, 0, -24, 10, 0, -6, 0, -11, -36, -13, -8, 0, -10, 4, -15, -23, 0, -24, 0, -66, 33, 0, 9, 9, -18, 0, 0, -42, 6, -30, 1, 0, 0, 27, -3, 12, 0, -18, 0, 0, -30, 0, 11, 4, 24, -48, 0, -15, 14, -20, -6, 0, 13, 0, -10, 21, 0, 12, -30, -18, 0, 0, 6, -13, -16, -57, 0, 0, 30, -20, 7, 0, 14, 13, 0, 12, 0, -66, 8, 39, -45, 0, 12, 30, 0, -24, 0, -21, 0, 54, 8, 0, 0, -28, 3, 0, 0, -12, 6, 18, -13, 0, 0, 14, -12, 4, 0, 0, -6, 0, 18, 0, 10, -45, -4, 8, 0, -16, -2, 3, 4, 0, 12, 0, 30, -60, 0, 2, 9, -16, 0, 0, 3, 8, 9, 20, 0, 0, -19, -28, -54, 0, -11, 42, 0, 1, 0, 50, -17, 18, -11, 0, 48, 0, -12, -66, 0, -10, 0, 34, -29, 0, 23, 48, -3, 0, 0, 84, -20, -13, 18, 0, 0, 42, -8, 24, 0, -49, -2, 0, 19, 0, -18, -11, 8, 18, 0, -32, 54, 24, -5, 0, 18, 0, -12, 4, 0, -12, 11, 0, 0, 0, 3, 12, 26, 48, 0, 0, -10, 15, -10, 0, 42, -6, 0, -27, 0, -8, 6, -40, 8, 0, 0, -45, -66, 4, 0, 54, 0, -24, 12, 0, -4, -66, -5, 0, 0, 50, -2, -81, -36, 0, 0, -2, 9, 0, 0, -27, -42, 0, -6, 0, 6, -24, 3, -19, 0, -6, -19, -36, -48, 0, 10, 0, 8, -33, 0, 50, 0, -54, 0, 0, -24, -52, -22, -30, 0, 0, -30, 12, -10, 0, 10, -42, 0, -2, 0, 66, 37, -35, 27, 0, 24, -54, 0, 6, 0, 28, 0, 18, -40, 0, 3, -24, 21, 0, 0, -24, -9, 10, -4, 0, 0, 41, 0, 4, 0, -90, 6, 0, 33, 0, -15, 36, 39, -2, 0, 7, 20, 42, 1, 0, -12, 0, 4, 39, 0, 0, -30, 34, 0, 0, 3, -3, -90, 51, 0, 0, -36, 4, 9, 0, 1, -48, 0, 10, 0, 54, -18, 60, 0, 0, 21, 32, -28, 42, 0, -26, 0, 15, 6, 0, 37, 34, 24, 0, 0, -45, -22, -6, 36, 0, 0, 0, 33, -24, 0, 4, 55, 0, -1, 0, 24, -4, 28, 0, 0, -12, 9, 55, 25, 0, 14, 0, 9, -34, 0, -39, 38, -60, 0, 0, 8, -24, -6, -46, 0, 0, 6, -18, 4, 0, 36, 7, 0, 30, 0, -56, -12, 0, -4, 0, 40, -4, -6, 42, 0, 12, 0, 9, 24, 0, 4, 90, 6, 0, 0, -15, 48, 18, 5, 0, 0, -2, 14, 9, 0, 51, 0, 0, -34, 0, 2, 21, -57, -55, 0, -108, -12, 4, -33, 0, -6, 0, 18, 0, 0, 4, 4, -51, 0, 0, -33, 58, 36, 72, 0, 0, -36, -4, -27, 0, 30, 12, 0, 1, 0, -87, 0, 14, 69, 0, -14, -6, 14, -19, 0, -26, 0, -60, 1, 0, 27, -12, -2, 0, 0, 30, -24, 39, 10, 0, 0, 2, -6, 4, 0, 57, -11, 0, -36, 0, -13, 24, -8, 35, 0, 49, -10, 54, 4, 0, -15, 0, -23, 54, 0, 60, -24, -26, 0, 0, -66, -50, 33, -58, 0, 0, 9, -48, 9, 0, -18, 78, 0, -66, 0, 0, -42, -30, 6, 0, -30, -28, 1, 84, 0, -45, 0, 62, 27, 0, -3, 19, 12, 0, 0, 24, -18, 42, 0, 0, 0, -99, -30, 24, 0, 0, 11, 0, 4, 0, 24, 34, -48, -12, 0, -12, -15, 19, 14, 0, -20, 0, -6, 25, 0, -108, 13, 20, 0, 0, -10, 27, 21, 9, 0, 0, 12, -84, -30, 0, -18, 32, 0, 18, 0, 42, 6, -33, -13, 0, -16, 66, -57, 6, 0, -72, 0, -35, 30, 0, -20, 24, 7, 0, 0, 25, 14, 0, 13, 0, 0, -15, 12, -48, 0, 40, -66, 0, 8, 0, 39, 27, -45, 66, 0, -30, 12, 6, 30, 0, 0, 0, -24, 90, 0, 19, -21, 111, 0, 0, 54, -10, 8, 72, 0, 0, 0, -26, -28, 0, 3, -21, 0, 0, 0, -120, -12, -14, 6, 0, 18, 63, -13, 10, 0, -2, 0, -18, 14, 0, -12, 30, 4, 0, 0, 7, 0, 5, -6, 0, 0, 48, 18, 39, 0, 66, 10, 0, -45, 0, -4, 117, 8, 12, 0, 60, -16, 60, -2, 0, 3, 0, 4, -18, 0, -44, 12, 27, 0, 0, 30, 4, -60, 10, 0, 0, 2, 0, 9, 0, -16, -180, 0, 30, 0, -32, 3, -108, 8, 0, 9, -6, 20, 3, 0, 48, 0, -8, -19, 0, -28, 7, -54, 0, 0, 0, -11, 0, 42, 0, 0, -84, 1, 54, 0, 13, 50, 0, -17, 0, 18, -32, -11, 111, 0, -15, 48, -32, 0, 0, -12, 0, -66, -24, 0, 72, -10, -2, 0, 0, 34, 99, -29, -30, 0, 0, 23, 165, 48, 0, -3, 0, 0, 48, 0, -27, 84, 12, -20, 0, -13, -56, 18, 27, 0, 75, 0, 60, 42, 0, -8, 9, 24, 0, 0, -52, -49, 114, -2, 0, 0, 21, 19, 24, 0, 18, -18, 0, -11, 0, 8, 70, 18, -50, 0, 12, -32, 0, 54, 0, 24, 0, -5, 33, 0, -11, 18, -24, 0, 0, -12, -108, 4, 120, 0, 0, -12, -36, 11, 0, 0, -5, 0, -64, 0, 36, 3, 47, 12, 0, 26, 18, 48, -46, 0, 40, 0, 144, -10, 0, 15, 56, -10, 0, 0, -43, 42, -50, -6, 0, 0, -8, -27, 57, 0, -102, -8, 0, 6, 0, -40, -114, 8, -6, 0, 22, 0, -36, -45, 0, -66, 0, 4, -18, 0, -21, 54, 44, 0, 0, -24, 60, 12, 53, 0, 0, -4, -10, -66, 0, -5, 108, 0, -7, 0, -6, 50, -72, -2, 0, -81, 15, -36, 90, 0, 20, 0, 11, -2, 0, 9, -88, 0, 0, 0, 138, -27, -53, -42, 0, 0, 42, -6, -55, 0, 13, 6, 0, -24, 0, 3, -24, -19, 27, 0, 0, -6, 42, -19, 0, -36, 0, -48, -14, 0, 30, 10, -33, 0, 0, 8, -12, -33, -18, 0, 0, 50, -33, 0, 0, -54, 34, 0, -39, 0, -36, -24, 84, -52, 0, -22, -33, -30, 5, 0, 12, 0, -10, -30, 0, 12, -69, -10, 0, 0, -64, 10, -36, -42, 0, 0, -2, -2, -198, 0, 39, 66, 0, 37, 0, -35, 42, 27, -21, 0, 18, 24, -12, -54, 0, 0, 0, 6, -35, 0, 44, 28, -126, 0, 0, 18, -55, -40, -60, 0, 0, 3, 0, -24, 0, 21, -60, 0, -60, 0, 81, -24, 16, -9, 0, 10, 18, -4, 10, 0, -84, 0, -54, 41, 0, 0, 21, 4, 0, 0, -40, -90, -18, 6, 0, 0, -23, 33, -22, 0, 12, -15, 0, 36, 0, 39, -144, -2, 0, 0, 80, 7, -30, 20, 0, 42, 0, 1, -60, 0, 33, -12, -44, 0, 0, 4, 33, 39, 55, 0, 0, 0, -48, -30, 0, 34, 63, 0, -6, 0, 24, 3, 36, -3, 0, -90, 0, 51, -36, 0, 46, 0, -41, -36, 0, 4, 20, 9, 0, 0, -39, 1, -24, -48, 0, 0, -114, 10, -16, 0, 36, 54, 0, -18, 0, 60, -51, 0, -60, 0, -4, 21, -41, 32, 0, -28, 0, 42, -18, 0, 39, -26, 88, 0, 0, 15, 36, 6, -12, 0, 0, 37, -132, 34, 0, 24, 70, 0, 117, 0, -18, -45, 64, -22, 0, -6, -37, 36, -10, 0, 60, 0, 95, 0, 0, 33, -72, -24, 0, 0, 6, 4, -63, 55, 0, 0, 66, -1, 81, 0, -37, 24, 0, -4, 0, 28, 0, 0, 3, 0, -84, -12, -34, 9, 0, 55, 0, 25, -16, 0, -40, 14, -36, 0, 0, 9, 60, -34, 54, 0, 0, -39, 30, 38, 0, -60, -48, 0, 21, 0, 42, 8, -18, -24, 0, -6, 12, -46, -115, 0, 42, 0, 0, 6, 0, -18, 25, 4, 0, 0, -12, 36, -2, 7, 0, 0, 42, 30, -44, 0, -90, -56, 0, -12, 0, 0, 24, -4, -78, 0, 8, 40, -48, -4, 0, -6, 0, 42, 6, 0, -78, 12, 10, 0, 0, 9, -68, 24, 0, 0, 0, 4, 31, 90, 0, 6, -90, 0, 0, 0, -1, -15, 6, 48, 0, 18, 22, 5, -48, 0, 25, 0, 18, -2, 0, 14, 72, 9, 0, 0, 24, 51, -54, 0, 0, 0, 60, -34, 36, 0, 14, 2, 0, 21, 0, -57, -12, -55, -84, 0, 32, -108, 48, -12, 0, 4, 0, -33, -15, 0, 63, -6, -40, 0, 0, 18, 3, 0, -60, 0, 0, 4, 150, 4, 0, -51, 13, 0, 36, 0, 50, -33, 69, 58, 0, 36, 38, 72, -26, 0, 0, 0, 3, -36, 0, -4, -132, -27, 0, 0, 65, 30, -30, 12, 0, 0, -15, 1, 102, 0, 16, -87, 0, 0, 0, 14, -28, 69, -72, 0, 144, -14, 9, -6, 0, 14, 0, -19, 60, 0, -24, -26, 168, 0, 0, -60, 0, 1, -39, 0, 0, 27, 2, -12, 0, -2, 14, 0, 60, 0, 84, 30, -66, -24, 0, 39, 72, 10, 60, 0, -54, 0, -147, 2, 0, -6, 36, 4, 0, 0, 37, 57, 8, -11, 0, 0, -30, -36, 10, 0, -33, -13, 0, 24, 0, -8, 36, 35, 75, 0, 30, 49, -96, -10, 0, 54, 0, 4, 72, 0, 18, -15, -9, 0, 0, -23, -42, 54, -114, 0, 0, 60, 95, -24, 0, -26, 12, 0, 35, 0, -40, -66, -18, -50, 0, 33, 25, -58, 0, 0, -8, 0, 24, 9, 0, -48, -3, 9, 0, 0, 24, -18, 66, 78, 0, 0, 144, -66, -14, 0, 34, 0, 0, -42, 0, -30, 110, 6, 30, 0, -72, -30, -44, -28, 0, 1, 0, 84, 17, 0, -18, -45, -32, 0, 0, 62, -81, 27, -50, 0, 0, -3, -24, 19, 0, 12, 60, 0, -120, 0, -40, 24, -36, -18, 0, 42, -92, 0, -43, 0, -135, 0, -36, -99, 0, -30, 12, 24, 0, 0, -10, 0, 108, 11, 0, 0, -8, 4, -72, 0, 0, 24, 0, 34, 0, -48, 18, -12, 68, 0, -99, -12, -21, -15, 0, 19, 0, 14, -12, 0, 47, -20, 150, 0, 0, -6, 16, 25, -162, 0, 0, -108, 28, 13, 0, 20, -12, 0, 22, 0, -6, -10, -42, 27, 0, 21, 0, 9, -32, 0, 47, 0, -81, 12, 0, -84, 10, -30, 0, 0, 12, -18, 52, 32, 0, 0, -23, 18, 42, 0, -72, 42, 0, 6, 0, -33, -57, -13, 72, 0, -64, -16, -12, 66, 0, -57, 0, 6, -108, 0, -5, -72, 0, 0, 0, -35, 18, 30, -3, 0, 0, -20, -90, 24, 0, 7, -99, 0, -92, 0, 0, 25, 150, 14, 0, 0, 25, 13, -54, 0, -66, 0, -60, -15, 0, 12, -54, -48, 0, 0, -156, 40, 11, -66, 0, 0, -60, 8, 0, 0, -59, 39, 0, 27, 0, -45, -30, 66, 36, 0, 54, -30, 82, 12, 0, 6, 0, 30, -36, 0, -126, 0, 3, 0, 0, -24, -6, 90, -54, 0, 0, 19, 99, -21, 0, 111, 66, 0, -105, 0, -37, 54, -42, -10, 0, 8, -78, 72, 44, 0, -108, 0, -18, 0, 0, -26, 18, -28, 0, 0, -30, 3, 84, -21, 0, 0, 8, 0, 36, 0, 55, -120, 0, -12, 0, -14, -82, 6, -8, 0, -72, 18, 110, 63, 0, -13, 0, 10, -80, 0, 0, -2, -72, 0, 0, -18, 77, 14, 30, 0, 0, -12, 55, 30, 0, 4, 44, 0, 72, 0, 123, 7, -36, 0, 0, 5, 12, -6, -24, 0, -8, 0, -180, 48, 0, 18, -140, 39, 0, 0, -22, 66, 16, 10, 0, 0, 0, -45, -114, 0, 36, -4, 0, 117, 0, 8, -6, 12, -70, 0, -47, 60, 21, -16, 0, 60, 0, -2, 84, 0, 36, 3, 12, 0, 0, 4, 32, -18, -61, 0, 0, -44, -50, 12, 0, 27, 78, 0, 30, 0, -50, 30, 0, 4, 0, -60, -68, 10, 102, 0, -132, 0, -30, 2, 0, 0, 8, 9, 0, 0, -9, -16, -44, -180, 0, 0, 153, 30, 43, 0, -66, -32, 0, 3, 0, -108, 60, 8, 12, 0, -18, 9, -65, -6, 0, 20, 0, 3, 0, 0, -96, 48, -9, 0, 0, -8, 30, -19, 57, 0, 0, -28, 162, 7, 0, -54, -42, 0, 90, 0, -16, 0, -16, -11, 0, 0, -80, 42, -20, 0, 96, 0, 49, -84, 0, 1, 84, 54, 0, 0, 33, 13, -78, 50, 0, 0, -36, -17, 45, 0, -25, 18, 0, -32, 0, -11, 27, 111, 36, 0, 102, -15, -66, 48, 0, -32, 0, 0, -4, 0, -12, -12, 0, 0, 0, -66, -68, -24, -18, 0, 0, 72, 20, -10, 0, -2, -22, 0, -73, 0, 0, 34, 32, 99, 0, -29, -72, -30, 85, 0, 56, 0, 12, 23, 0, 165, -15, 48, 0, 0, -26, -3, -11, 0, 0, 0, -90, 48, -28, 0, -12, -27, 0, 84, 0, 12, 0, -20, 17, 0, -69, -13, -36, -56, 0, 18, 0, 27, 165, 0, -24, 75, 6, 0, 0, 60, -99, 42, -30, 0, 0, -8, 33, 9, 0, 24, -102, 0, 44, 0, 135, -52, -78, -49, 0, 114, -62, -2, -180, 0, -19, 0, 8, 21, 0, 19, -63, 24, 0, 0, -36, 18, 0, -18, 0, 0, -138, -11, 80, 0, -22, 8, 0, 70, 0, 18, 68, -50, -36, 0, 30, 12, -84, -32, 0, 0, 0, 54, -37, 0, 21, 24, -60, 0, 0, -5, 60, 33, -39, 0, 0, -11, -168, 18, 0, -24, 10, 0, 0, 0, 36, -12, -29, -108, 0, 4, -12, 120, -12, 0, -12, 0, -75, -12, 0, -36, 126, 11, 0, 0, -56, 0, 24, -5, 0, 0, -13, -64, 27, 0, 98, 36, 0, 3, 0, 47, -4, 12, 24, 0, 180, 26, 23, 18, 0, 48, 0, -46, -54, 0, -72, 40, -45, 0, 0, 144, -6, -10, 27, 0, 0, 15, 50, 56, 0, -10, -51, 0, -132, 0, -6, -43, 10, 42, 0, -50, 18, -6, -32, 0, 110, 0, 153, -8, 0, -27, -14, 57, 0, 0, 0, -102, -16, -8, 0, 0, 36, 6, 0, 0, 63, -40, 0, -114, 0, 8, -165, -6, 49, 0, -2, 22, -162, 0, 0, -36, 0, -45, 12, 0, 168, -66, 33, 0, 0, 4, 44, -18, 90, 0, 0, -21, -4, 54, 0, 44, 0, 0, -9, 0, 47, -24, 12, 60, 0, 12, 84, 53, -102, 0, -30, 0, -12, -4, 0, -10, 24, -66, 0, 0, 174, -5, -77, 108, 0, 0, 72, -7, -56, 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": "350.2.a.c", "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], [3], [1], [0], [3], [0], [1], [6], [0], [-5], [3], [6], [0], [0], [1], [1], [6], [3], [0], [0], [-5], [0], [3], [0], [6], [9], [0], [-6], [0], [4], [1], [-15], [1], [0], [6], [8], [3], [18], [0], [-11], [0], [-8], [-5], [0], [0], [-2], [3], [0], [0], [3], [6], [4], [9], [0], [0], [9], [-6], [-4], [0], [2], [4], [0], [1], [0], [-15], [9], [1], [0], [0], [-10], [6], [7], [8], [0], [3], [0], [18], [-2], [0], [9], [-11], [-11], [0], [0], [-8], [-18], [-5], [11], [0], [0], [0], [12], [-2], [0], [3], [10], [0], [-30], [0]]}