# Stored data for newform 5625.2.a.k, downloaded from the LMFDB on 23 April 2024.
{"label": "5625.2.a.k", "space_label": "5625.2.a", "level": 5625, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307265017, "dim": 4, "is_polredabs": true, "nf_label": "4.4.1125.1", "trace_hash": 1756331023547673204, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]], [7, [-5, -50, -10, 5, 1]]], "qexp_display": "q-2q^{4}+(-\\beta _{2}+2\\beta _{3})q^{7}+(-1-3\\beta _{1}+\\cdots)q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 22500, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 44.91585113697022, "hecke_ring_index": 1, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 15, "field_poly_is_real_cyclotomic": true, "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": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [5625, 1, [4376, 1252], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 1125, "field_disc_factorization": [[3, 2], [5, 3]], "field_poly": [1, 4, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.667", "prec": 17}, {"__RealLiteral__": 0, "data": "0.259", "prec": 17}, {"__RealLiteral__": 0, "data": "134.817", "prec": 24}, {"__RealLiteral__": 0, "data": "14.982", "prec": 20}, {"__RealLiteral__": 0, "data": "6877.504", "prec": 27}], "related_objects": [], "self_twist_discs": [-3], "cm_discs": [-3], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.1.d1", "atkin_lehner_eigenvals": [[3, 1], [5, 1]], "trace_display": [0, 0, 0, -5], "traces": [0, 4, 0, 0, -8, 0, 0, -5, 0, 0, 0, 0, 0, -5, 0, 0, 16, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 7, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 17, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, -32, 0, 0, -5, 0, 0, 0, 0, 0, 10, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 19, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, -14, 0, 0, -20, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -23, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 53, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -34, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 13, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17, 0, 0, -26, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 28, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -68, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 4, 0, 0, -35, 0, 0, 0, 0, 0, -35, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -55, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 113, 0, 0, 50, 0, 0, -35, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 31, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -35, 0, 0, -38, 0, 0, -41, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 88, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, -15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, -92, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -105, 0, 0, -32, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -47, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 46, 0, 0, -20, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 43, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, -106, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -135, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, -14, 0, 0, -5, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 95, 0, 0, 0, 0, 0, 49, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, -100, 0, 0, 0, 0, 0, 65, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 255, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 46, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -116, 0, 0, -26, 0, 0, 55, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, -25, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 105, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -197, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 137, 0, 0, 34, 0, 0, -20, 0, 0, 0, 0, 0, -45, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, -17, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, -128, 0, 0, 20, 0, 0, 0, 0, 0, -5, 0, 0, -100, 0, 0, -59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23, 0, 0, 0, 0, 0, 135, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, -196, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 55, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, 125, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, -29, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 125, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 55, 0, 0, 136, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -185, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, -68, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 16, 0, 0, 35, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 67, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 64, 0, 0, -65, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 195, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 125, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 122, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 195, 0, 0, 28, 0, 0, -244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -71, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -226, 0, 0, -35, 0, 0, 0, 0, 0, -65, 0, 0, -100, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, -47, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 34, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -11, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 79, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, -285, 0, 0, 0, 0, 0, 200, 0, 0, 0, 0, 0, -145, 0, 0, 0, 0, 0, 19, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, -53, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, -100, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164, 0, 0, -44, 0, 0, -85, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 380, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, -83, 0, 0, 76, 0, 0, -80, 0, 0, 0, 0, 0, 10, 0, 0, 82, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, -59, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, -292, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 233, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 37, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, -65, 0, 0, 60, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -51, 0, 0, 0, 0, 0, 140, 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, -30, 0, 0, 0, 0, 0, 0, 0, 0, 85, 0, 0, -176, 0, 0, -105, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 308, 0, 0, 0, 0, 0, -105, 0, 0, 0, 0, 0, -115, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 125, 0, 0, -56, 0, 0, 40, 0, 0, 0, 0, 0, 70, 0, 0, -88, 0, 0, -89, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, -316, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 125, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -159, 0, 0, 0, 0, 0, 285, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, 91, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -215, 0, 0, 0, 0, 0, -5, 0, 0, 184, 0, 0, 125, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 128, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, -175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -71, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 240, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, -188, 0, 0, 210, 0, 0, 0, 0, 0, 0, 0, 0, -53, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 91, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73, 0, 0, 0, 0, 0, -130, 0, 0, 0, 0, 0, -195, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 94, 0, 0, -20, 0, 0, 0, 0, 0, -95, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 13, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, -95, 0, 0, 0, 0, 0, 285, 0, 0, 14, 0, 0, 195, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 97, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -95, 0, 0, 0, 0, 0, -59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 417, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -95, 0, 0, -98, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 125, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 97, 0, 0, -86, 0, 0, -410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -364, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, -208, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -175, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 125, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 76, 0, 0, -400, 0, 0, 0, 0, 0, 105, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 103, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -41, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 212, 0, 0, 55, 0, 0, 0, 0, 0, -65, 0, 0, -240, 0, 0, -101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -435, 0, 0, 0, 0, 0, -14, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -175, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -95, 0, 0, 0, 0, 0, -212, 0, 0, 270, 0, 0, 0, 0, 0, 0, 0, 0, -310, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, -345, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 200, 0, 0, -95, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, -345, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 70, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -53, 0, 0, 0, 0, 0, 105, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, 234, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 2, -1, 2, -3]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "5625.2.a.k", "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, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, -3, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 5, 0, -2], [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, 0], [0, 0, 0, 0], [0, 0, 2, -4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 5, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, -4, 0, 7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 7, 0, -6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, -5, 0, -3], [0, 0, 0, 0], [0, 0, 0, 0], [2, 6, 0, 2], [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, 0], [0, 0, 0, 0], [0, 0, -5, -9], [0, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 9, 7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -8, -9], [0, 0, 0, 0], [0, 0, 0, 0], [4, -10, 0, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 10, 3], [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, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-9, 10, -5, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -11, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]]}