# Stored data for newform 3025.2.a.d, downloaded from the LMFDB on 24 April 2024. {"label": "3025.2.a.d", "space_label": "3025.2.a", "level": 3025, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915668945, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 44529424723722759, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [3, [-1, 1]], [19, [0, 1]]], "qexp_display": "q+q^{3}-2q^{4}-2q^{9}-2q^{12}+4q^{16}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 12100, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 24.154746611437314, "hecke_ring_index": 1, "level_radical": 55, "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": 1, "is_self_dual": true, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.504", "prec": 17}, "analytic_rank_proved": true, "char_values": [3025, 1, [727, 2301], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "level_primes": [5, 11], "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": "0.974", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.882", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.519", "prec": 17}], "related_objects": ["EllipticCurve/Q/3025/d"], "self_twist_discs": [-11], "cm_discs": [-11], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.1.d1", "atkin_lehner_eigenvals": [[5, 1], [11, 1]], "trace_display": [0, 1, 0, 0], "traces": [0, 1, 0, 1, -2, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, -5, 0, 0, 0, -5, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 4, -7, 0, 0, 0, -6, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, -8, 0, 0, -13, 0, 9, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, -18, -5, 0, 0, 0, -17, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 10, 0, 0, -7, 0, -21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 12, 0, 0, -8, 0, 0, -7, 14, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, -6, 0, 0, 0, 16, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, -15, 0, 21, 0, -25, 0, 0, 0, 0, 0, 0, -24, 0, 0, -15, -8, 0, 0, 0, 14, 0, 0, -20, 0, -13, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 12, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -27, 0, 0, 0, 0, 16, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 26, 30, 0, 0, 0, 0, 0, 0, -18, 0, 0, 10, 0, 0, 0, 0, 6, 0, 0, 0, 0, -17, 0, -17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -12, 0, -19, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 35, 0, 14, 0, 0, 0, 0, 0, -21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 18, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, 37, 36, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, -25, 0, 0, 0, -39, 0, 0, 0, 0, 34, -15, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, -8, 0, 0, 0, 0, 0, 0, 24, 0, 10, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -20, -29, 0, 0, 0, 0, 0, 0, 0, 14, 0, -21, 14, 0, 0, 0, 0, 39, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 3, 0, 0, 0, 23, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43, 0, 16, 0, 0, 0, 0, 0, 0, -20, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -13, 0, -45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 0, 0, 58, 0, 30, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 16, 47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 14, 0, 0, 0, -28, 0, 0, 0, 0, -20, 0, -36, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, -1, 0, -45, 0, 0, 0, 0, 0, 0, -46, 0, 0, 7, 0, 0, 0, 0, 12, 0, 0, 6, 0, -45, 0, -41, 0, 0, 0, 27, 0, 0, 0, 0, -32, -51, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -5, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 19, 0, 0, 0, -45, 0, 0, -42, 0, 0, 51, 0, 0, 0, 0, 50, 0, 0, 53, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23, 48, -27, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 16, 0, 0, -18, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 3, 0, 0, 0, 18, 0, 0, 26, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49, 0, 0, 0, 0, 36, 29, 0, 0, 0, 0, 0, 0, 0, 25, 0, -45, 0, -29, 0, 0, 0, 0, 0, 0, -24, 0, 0, -63, 6, 0, 0, 0, 0, 0, 0, -31, 0, 0, 0, 36, 0, 0, 0, -17, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 57, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -60, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 30, 0, 0, 0, -12, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, -60, 0, 0, -57, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45, -32, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, -20, 0, 35, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 42, 0, 0, 0, 50, 0, 0, -32, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 63, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, -52, 0, 0, 0, -60, 0, 0, 0, 0, 108, 0, -19, 0, 0, 0, -28, 0, 0, 0, 0, 0, 59, 0, 0, 0, 0, 0, 0, 0, 37, 0, -21, 36, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -63, 0, 0, 0, 0, 0, 0, 0, 0, -12, -25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, -39, 0, 0, 0, -61, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, -15, 0, 0, 0, -47, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 69, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, -8, 58, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 24, 0, -69, 0, 0, 0, 10, 0, 0, 0, 0, -54, -60, 0, 0, 0, 0, 0, 0, 0, -57, 0, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 4, 0, 0, -29, 0, -45, 0, -19, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -53, 0, 35, -70, 0, 0, 0, 0, -21, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 0, 42, -135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 12, 0, 0, 0, -39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -75, 0, 0, -18, -46, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29, -36, 0, 0, 0, 0, 0, 0, 30, 0, -54, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, -60, 0, 0, 0, -43, 0, 0, 0, 0, 0, -32, -74, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 71, 0, 0, 0, 0, -20, -59, 0, 0, 0, 0, 0, 0, 0, 40, 0, -45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 50, 0, 0, 35, 0, 26, 0, 69, 0, 0, 0, -45, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, -117, 0, -76, 0, 0, 0, 0, 0, 61, 0, 0, -68, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, -52, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 4, 0, 0, 0, 0, 75, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, -57, 0, 10, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, -27, 0, 0, 0, 27, 0, 0, 0, 0, 0, 30, -6, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, -41, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 78, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, -81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, -3, 0, 0, 0, 0, 0, 0, 40, 0, 0, 47, 58, 0, 0, 0, 0, 0, 0, -84, 0, -67, 0, 0, 0, 0, 0, -83, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, -79, 0, 0, 0, -63, 0, 0, 0, 40, 0, 0, 0, 0, -78, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 65, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75, 0, 85, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43, 0, 42, -62, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, -6, 0, 0, -75, 0, 34, 0, 0, 0, 0, 0, -71, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, -27, 0, 0, 0, 0, 0, 48, -24, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, -45, 0, 0, 0, 0, 0, -41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 86, 0, 0, 73, 0, 0, 0, 0, -32, 0, 0, -51, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -2, 0, 0, 0, -5, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, -87, 26, 85, 0, 0, 0, 0, 0, 0, 90, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -81, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 17, 0, 0, 0, 65, 0, 0, 0, 0, 0, 59, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 0, -45, 0, 0, 0, -61, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 51, 0, 0, 0, -25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 79, 0, 53, 0, 105, 0, 0, 0, -35, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 89, 0, 0, 0, 0, 0, 97, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -153, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23, 0, 0, 48, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -57, 0, 65, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 91, 0, 0, 0, 93, 0, 0, 0, 0, 0, -84, -32, 0, 0, 0, -94, 0, 0, 35, 0, 36, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 37, -96, 0, 0, 0, -28, 0, 0, 0, 0, -87, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 36, 0, 0, 0, 0, 0, 0, 0, 97, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 40, 0, 0, 3, 0, 0, 0, 0, 72, 0, 0, -75, 0, 49, 0, 45, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, -21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -63, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43, -84, 49, 0, 0, 0, 71, 0, 0, 2, 0, 0, 91, 0, 0, 0, 0, 90, 0, 0, 29, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5, 92, 0, 0, 0, 0, -45, 0, 0, 0, 0, 0, -29, -14, 0, 0, 0, 0, 0, 0, 57, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, -63, 0, 0, -12, 47, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, -31, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, -54, 36, 0, 0, 0, 0, 0, 0, 0, 42, 0, -189, 0, 34, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 102, 0, 0, 0, 0, 0, 0, 85, 0, -78, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 81, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57, -26, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, -2, 103, 0, 0, 0, 0, 0, 0, 0, 0, 0, -87, 0, -91, 0, 0, 0, -39, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, -52, 0, 0, 53, 0, 0, 0, 63, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 90, 0, 32, 48, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, -21, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 102, 0, 0, 0, -20, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -98, 0, 24, 0, 0, 0, 104, 0, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, 0, 0, 38, 0, -45, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -38, 0, 0, 0, 0, -57, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 90, -54, 0, 0, 0, 0, 0, 0, 0, -75, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -107, 0, 0, 0, 105, 0, 0, 0, 0, -100, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -106, -69, 0, 0, 0, -45, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51, 0, 0, 0, -74, 0, 0, 0, 93, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, 0, 0, -97, 0, -20, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -1, 2, -11]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "121.2.a.b", "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], [0], [1], [-2], [0], [0], [0], [0], [-2], [0], [0], [-2], [0], [0], [0], [4], [0], [0], [0], [0], [0], [0], [9], [0], [0], [0], [-5], [0], [0], [0], [-5], [0], [0], [0], [0], [4], [-7], [0], [0], [0], [0], [0], [0], [0], [0], [0], [12], [4], [-7], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [-15], [0], [0], [0], [0], [-8], [0], [0], [-13], [0], [9], [0], [-3], [0], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0], [0], [0], [0], [0], [0], [0], [-9], [0], [0], [-18], [-5], [0], [0], [0], [-17], [0], [0], [0]]}