# Stored data for newform 7803.2.a.k, downloaded from the LMFDB on 24 April 2024.
{"label": "7803.2.a.k", "space_label": "7803.2.a", "level": 7803, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307267195, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 30082106899334759, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [5, [0, 1]], [7, [-1, 1]], [11, [0, 1]]], "qexp_display": "q-2q^{4}+q^{7}+5q^{13}+4q^{16}-7q^{19}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 31212, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 62.30726869720508, "hecke_ring_index": 1, "level_radical": 51, "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": "0.509", "prec": 17}, "analytic_rank_proved": true, "char_values": [7803, 1, [2891, 2026], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 2, "level_primes": [3, 17], "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": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.870", "prec": 17}, {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "9.481", "prec": 17}], "related_objects": ["EllipticCurve/Q/7803/k"], "self_twist_discs": [-3], "cm_discs": [-3], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.1.d1", "atkin_lehner_eigenvals": [[3, 1], [17, 1]], "trace_display": [0, 0, 0, 1], "traces": [0, 1, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, -7, 0, 0, 0, 0, 0, -5, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -6, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -8, 0, 0, 5, 0, 0, 0, 0, 0, 7, 0, 0, 14, 0, 0, -17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 19, 0, 0, 10, 0, 0, -13, 0, 0, 0, 0, 0, -2, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -11, 0, 0, -8, 0, 0, 20, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -23, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, -19, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 0, 12, 0, 0, -16, 0, 0, -5, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23, 0, 0, 12, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 13, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17, 0, 0, -2, 0, 0, -35, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -11, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 29, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -28, 0, 0, -16, 0, 0, 0, 0, 0, -35, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, -37, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, -10, 0, 0, -35, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, -20, 0, 0, 20, 0, 0, 0, 0, 0, -31, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 4, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, -55, 0, 0, 22, 0, 0, 25, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43, 0, 0, 0, 0, 0, -23, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -17, 0, 0, 46, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 38, 0, 0, 49, 0, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, 25, 0, 0, -28, 0, 0, -43, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, -49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37, 0, 0, -24, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 77, 0, 0, 0, 0, 0, -53, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, -14, 0, 0, 44, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -49, 0, 0, 46, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 31, 0, 0, 0, 0, 0, 5, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -7, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -29, 0, 0, -26, 0, 0, -11, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 25, 0, 0, 0, 0, 0, -59, 0, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, 20, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, -52, 0, 0, 0, 0, 0, 55, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -61, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 34, 0, 0, 41, 0, 0, 0, 0, 0, -23, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 61, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, -32, 0, 0, -85, 0, 0, 0, 0, 0, 53, 0, 0, 22, 0, 0, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, 62, 0, 0, 20, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, -55, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 67, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 25, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -59, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -17, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 32, 0, 0, 19, 0, 0, 0, 0, 0, 41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 53, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 0, 95, 0, 0, -68, 0, 0, 7, 0, 0, 0, 0, 0, -35, 0, 0, 0, 0, 0, -43, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67, 0, 0, 0, 0, 0, 25, 0, 0, 50, 0, 0, 55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -71, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -65, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, -23, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, -31, 0, 0, 0, 0, 0, -49, 0, 0, 0, 0, 0, -11, 0, 0, 74, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 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, -60, 0, 0, 35, 0, 0, 0, 0, 0, -67, 0, 0, 20, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, -76, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, -37, 0, 0, 0, 0, 0, -77, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 119, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, -24, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 11, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 79, 0, 0, 0, 0, 0, -55, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, -88, 0, 0, 0, 0, 0, 50, 0, 0, 40, 0, 0, -22, 0, 0, 0, 0, 0, 19, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 79, 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, -52, 0, 0, 100, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 73, 0, 0, 0, 0, 0, 67, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, -41, 0, 0, 38, 0, 0, -17, 0, 0, 0, 0, 0, -47, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -35, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 49, 0, 0, -8, 0, 0, -61, 0, 0, 0, 0, 0, -10, 0, 0, -56, 0, 0, -31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, -82, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, -115, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35, 0, 0, 20, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -133, 0, 0, 0, 0, 0, 21, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, 0, -37, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, -65, 0, 0, -10, 0, 0, -73, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 29, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 110, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, -44, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, -1, 0, 0, 0, 0, 0, 91, 0, 0, 0, 0, 0, -95, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, -32, 0, 0, -32, 0, 0, 89, 0, 0, 0, 0, 0, -13, 0, 0, 64, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -59, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -77, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 23, 0, 0, 0, 0, 0, 38, 0, 0, 86, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 82, 0, 0, 46, 0, 0, 125, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 91, 0, 0, 0, 0, 0, 85, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -35, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -47, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, -53, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 91, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -11, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 83, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, -86, 0, 0, -62, 0, 0, 20, 0, 0, 0, 0, 0, -37, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, 0, 89, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 35, 0, 0, 56, 0, 0, -5, 0, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 41, 0, 0, 0, 0, 0, 79, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 59, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, -95, 0, 0, -98, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -37, 0, 0, 0, 0, 0, -68, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, -73, 0, 0, 34, 0, 0, -55, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 47, 0, 0, 0, 0, 0, -115, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 97, 0, 0, 86, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -83, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, -49, 0, 0, 0, 0, 0, -101, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35, 0, 0, -80, 0, 0, 65, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, -13, 0, 0, 0, 0, 0, -91, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 161, 0, 0, 98, 0, 0, -29, 0, 0, 0, 0, 0, -29, 0, 0, 0, 0, 0, 103, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -31, 0, 0, 0, 0, 0, 97, 0, 0, 0, 0, 0, -62, 0, 0, -74, 0, 0, 0, 0, 0, 0, 0, 0, -77, 0, 0, 48, 0, 0, -55, 0, 0, 0, 0, 0, 103, 0, 0, -38, 0, 0, 101, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, -14, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 89, 0, 0, -20, 0, 0, 95, 0, 0, 0, 0, 0, -53, 0, 0, -154, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -98, 0, 0, 106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 73, 0, 0, 0, 0, 0, 41, 0, 0, 0, 0, 0, -31, 0, 0, 0, 0, 0, 133, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 26, 0, 0, 91, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 187, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0, 0, 0, 70, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, -6, 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": false, "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": "27.2.a.a", "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], [0], [-2], [0], [0], [1], [0], [0], [0], [0], [0], [5], [0], [0], [4], [0], [0], [-7], [0], [0], [0], [0], [0], [-5], [0], [0], [-2], [0], [0], [4], [0], [0], [0], [0], [0], [-11], [0], [0], [0], [0], [0], [8], [0], [0], [0], [0], [0], [-6], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [0], [0], [1], [0], [0], [-8], [0], [0], [5], [0], [0], [0], [0], [0], [7], [0], [0], [14], [0], [0], [-17], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [0], [5], [0], [0], [0], [0], [0], [19], [0], [0], [10]]}