# Stored data for newform 1350.2.a.k, downloaded from the LMFDB on 28 March 2024. {"label": "1350.2.a.k", "space_label": "1350.2.a", "level": 1350, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260742, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2181821710753456134, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-4, 1]], [11, [3, 1]], [13, [-1, 1]], [17, [0, 1]]], "qexp_display": "q-q^{2}+q^{4}+4q^{7}-q^{8}-3q^{11}+q^{13}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5400, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 10.779804272872852, "hecke_ring_index": 1, "level_radical": 30, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [1350, 1, [1001, 1027], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.005", "prec": 17}, {"__RealLiteral__": 0, "data": "0.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "1.839", "prec": 17}, {"__RealLiteral__": 0, "data": "0.232", "prec": 17}, {"__RealLiteral__": 0, "data": "4.468", "prec": 17}], "related_objects": ["EllipticCurve/Q/1350/k"], "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]], "trace_display": [-1, 0, 0, 4], "traces": [0, 1, -1, 0, 1, 0, 0, 4, -1, 0, 0, -3, 0, 1, -4, 0, 1, 0, 0, 2, 0, 0, 3, 9, 0, 0, -1, 0, 4, 6, 0, -10, -1, 0, 0, 0, 0, 7, -2, 0, 0, -6, 0, 10, -3, 0, -9, -9, 0, 9, 0, 0, 1, -6, 0, 0, -4, 0, -6, -3, 0, -7, 10, 0, 1, 0, 0, 4, 0, 0, 0, 15, 0, -2, -7, 0, 2, -12, 0, 8, 0, 0, 6, 12, 0, 0, -10, 0, 3, 12, 0, 4, 9, 0, 9, 0, 0, 19, -9, 0, 0, 12, 0, -14, -1, 0, 6, 9, 0, 2, 0, 0, 4, -6, 0, 0, 6, 0, 3, 0, 0, -2, 7, 0, -10, 0, 0, -2, -1, 0, 0, -15, 0, 8, -4, 0, 0, 6, 0, -4, 0, 0, -15, -3, 0, 0, 2, 0, 7, 18, 0, 2, -2, 0, 12, 0, 0, -14, -8, 0, 0, 36, 0, 10, -6, 0, -12, -21, 0, -12, 0, 0, 10, 0, 0, 0, -3, 0, -12, 21, 0, -1, -4, 0, -9, 0, 0, 0, -9, 0, 0, -12, 0, 10, -19, 0, 9, 24, 0, -22, 0, 0, -12, 24, 0, 0, 14, 0, 1, -6, 0, 8, -6, 0, -9, 0, 0, -40, -2, 0, 0, 0, 0, -2, -4, 0, 6, 3, 0, -1, 0, 0, -6, -12, 0, 0, -3, 0, 0, -15, 0, 5, 2, 0, -7, 0, 0, 2, 10, 0, 0, -15, 0, -27, 2, 0, 1, 12, 0, 28, 0, 0, 15, -15, 0, 0, -8, 0, 4, 12, 0, 20, 0, 0, -6, 0, 0, -2, 4, 0, 0, -6, 0, -26, 15, 0, 3, -24, 0, -17, 0, 0, -2, 24, 0, 0, -7, 0, -18, 9, 0, 40, -2, 0, 2, 0, 0, -26, -12, 0, 0, -21, 0, -14, 14, 0, 8, -18, 0, -18, 0, 0, -36, 0, 0, 0, -10, 0, 6, -36, 0, -10, 12, 0, 21, 0, 0, -2, 12, 0, 0, 30, 0, 8, -10, 0, 0, -12, 0, -10, 0, 0, 3, 6, 0, 0, 12, 0, -21, -27, 0, -15, 1, 0, 4, 0, 0, -8, 9, 0, 0, -24, 0, 22, 0, 0, 9, 6, 0, -10, 0, 0, 12, -9, 0, 0, -10, 0, 19, -6, 0, 0, -9, 0, -24, 0, 0, -5, 22, 0, 0, 12, 0, -10, 12, 0, -24, -21, 0, -7, 0, 0, -14, -12, 0, 0, -1, 0, 6, 12, 0, -37, -8, 0, 6, 0, 0, -28, 9, 0, 0, -27, 0, -11, 40, 0, 2, 18, 0, -4, 0, 0, 0, 3, 0, 0, 2, 0, 4, -18, 0, 18, -6, 0, -3, 0, 0, 19, 1, 0, 0, 24, 0, 22, 6, 0, 12, 3, 0, 16, 0, 0, 3, -30, 0, 0, 0, 0, 15, -24, 0, 7, -5, 0, -2, 0, 0, 4, 7, 0, 0, -36, 0, 0, -2, 0, -10, 60, 0, -16, 0, 0, 15, 12, 0, 0, 27, 0, -2, 30, 0, -8, -1, 0, -12, 0, 0, 27, -28, 0, 0, -24, 0, 4, -15, 0, 15, 0, 0, 58, 0, 0, 8, -6, 0, 0, -4, 0, -12, -27, 0, 35, -20, 0, 0, 0, 0, 28, 6, 0, 0, 12, 0, 32, 2, 0, -4, 12, 0, 10, 0, 0, 6, -27, 0, 0, 26, 0, -15, 18, 0, -34, -3, 0, 24, 0, 0, 13, 17, 0, 0, 48, 0, 18, 2, 0, -24, 12, 0, -20, 0, 0, 7, -12, 0, 0, 18, 0, -9, -12, 0, 35, -40, 0, 2, 0, 0, 22, -2, 0, 0, -9, 0, -29, 26, 0, 12, 18, 0, 2, 0, 0, 21, 48, 0, 0, 14, 0, -14, 0, 0, -10, -8, 0, 18, 0, 0, 9, 18, 0, 0, 12, 0, -14, 36, 0, 0, 15, 0, 9, 0, 0, 10, -36, 0, 0, -6, 0, 36, -36, 0, -31, 10, 0, -12, 0, 0, 54, -21, 0, 0, 21, 0, 1, 2, 0, -12, -18, 0, 76, 0, 0, -30, 9, 0, 0, -8, 0, 10, -6, 0, -46, 0, 0, 12, 0, 0, 0, 10, 0, 0, -36, 0, 14, -3, 0, -6, 48, 0, -1, 0, 0, -12, -90, 0, 0, 21, 0, 27, 21, 0, -56, 15, 0, -1, 0, 0, 4, -4, 0, 0, 0, 0, 13, 8, 0, -9, -12, 0, -16, 0, 0, 24, -3, 0, 0, -22, 0, 0, 36, 0, -4, -9, 0, -6, 0, 0, -23, 10, 0, 0, 18, 0, 8, -12, 0, 9, -3, 0, -46, 0, 0, 10, 42, 0, 0, -19, 0, 6, -12, 0, -45, 0, 0, 9, 0, 0, -8, 24, 0, 0, -24, 0, -7, 5, 0, -22, -6, 0, 0, 0, 0, -12, 6, 0, 0, 10, 0, -12, -42, 0, 32, 24, 0, 21, 0, 0, 20, 7, 0, 0, 6, 0, -26, 14, 0, 12, -45, 0, 47, 0, 0, 1, 0, 0, 0, -6, 0, -12, 9, 0, 7, 37, 0, 8, 0, 0, -8, -6, 0, 0, 63, 0, 55, 28, 0, -9, 12, 0, 50, 0, 0, 27, 24, 0, 0, 11, 0, -40, -24, 0, 4, -2, 0, -18, 0, 0, 43, 4, 0, 0, -36, 0, 52, 0, 0, -3, -3, 0, -8, 0, 0, -2, -18, 0, 0, -4, 0, 18, -60, 0, 0, -18, 0, 6, 0, 0, 46, 3, 0, 0, -39, 0, -36, -19, 0, -1, -60, 0, -46, 0, 0, -24, 15, 0, 0, -22, 0, -6, -42, 0, 18, -12, 0, -3, 0, 0, 1, -16, 0, 0, 12, 0, -54, -3, 0, 30, -24, 0, -2, 0, 0, 0, -36, 0, 0, -15, 0, 24, 24, 0, 69, -7, 0, 5, 0, 0, -32, 2, 0, 0, -27, 0, -16, -4, 0, -7, 48, 0, -36, 0, 0, 36, -9, 0, 0, 0, 0, 2, 90, 0, 32, 10, 0, -60, 0, 0, -53, 16, 0, 0, -12, 0, 0, -15, 0, -12, -12, 0, 41, 0, 0, -27, 24, 0, 0, 2, 0, -30, 0, 0, 2, 8, 0, 1, 0, 0, 8, 12, 0, 0, -15, 0, 31, -27, 0, 28, 0, 0, 44, 0, 0, 24, 72, 0, 0, -4, 0, 15, 54, 0, 56, -15, 0, 0, 0, 0, 8, -58, 0, 0, 6, 0, 22, -8, 0, 6, -57, 0, -19, 0, 0, 4, 42, 0, 0, 12, 0, 27, 12, 0, -81, -35, 0, 20, 0, 0, -50, 0, 0, 0, 3, 0, -11, -28, 0, -6, 6, 0, -56, 0, 0, -12, 12, 0, 0, -32, 0, -2, 30, 0, -36, 4, 0, -12, 0, 0, -2, -10, 0, 0, -6, 0, -32, -6, 0, 27, 81, 0, -31, 0, 0, -26, 42, 0, 0, 15, 0, -18, 0, 0, 40, 34, 0, 3, 0, 0, -70, -24, 0, 0, -39, 0, 7, -13, 0, -17, 12, 0, -14, 0, 0, -48, -27, 0, 0, -18, 0, -2, -84, 0, -28, 24, 0, -12, 0, 0, -27, 20, 0, 0, 18, 0, -48, -7, 0, 12, -21, 0, -36, 0, 0, -18, -48, 0, 0, 9, 0, 12, -6, 0, 23, -35, 0, 40, 0, 0, 0, -2, 0, 0, 0, 0, 37, -22, 0, 2, -42, 0, -54, 0, 0, 9, -24, 0, 0, 29, 0, -26, 54, 0, -10, -12, 0, -18, 0, 0, -23, -2, 0, 0, 0, 0, 18, -21, 0, -48, 60, 0, -19, 0, 0, -14, 84, 0, 0, 14, 0, 0, 51, 0, 19, 10, 0, 8, 0, 0, -4, -18, 0, 0, 60, 0, 8, -9, 0, -18, -18, 0, 20, 0, 0, -12, -39, 0, 0, 14, 0, -36, -30, 0, 20, 0, 0, -15, 0, 0, -62, -9, 0, 0, -12, 0, 10, -10, 0, 36, -51, 0, 0, 0, 0, 6, 12, 0, 0, -36, 0, 36, 51, 0, -10, 31, 0, -10, 0, 0, 22, 12, 0, 0, 39, 0, -100, -54, 0, 21, -48, 0, -14, 0, 0, -21, 0, 0, 0, -1, 0, -2, 30, 0, 40, 12, 0, 18, 0, 0, -27, -76, 0, 0, -18, 0, -54, 30, 0, -9, 3, 0, 12, 0, 0, 8, -6, 0, 0, -10, 0, 6, 96, 0, 59, 46, 0, 0, 0, 0, -4, -12, 0, 0, 9, 0, -88, 0, 0, -10, 6, 0, 56, 0, 0, 36, -63, 0, 0, -14, 0, 3, -54, 0, 0, 6, 0, -48, 0, 0, 2, 1, 0, 0, 54, 0, 70, 12, 0, 90, -33, 0, -7, 0, 0, -21, 54, 0, 0, -27, 0, -21, -9, 0, 45, 56, 0, -15, 0, 0, -32, 1, 0, 0, 48, 0, -11, -4, 0, 4, 90, 0, 56, 0, 0, 0, -24, 0, 0, -13, 0, -8, -6, 0, -40, 9, 0, 12, 0, 0, 32, 16, 0, 0, 12, 0, 10, -24, 0, 3, -15, 0, -31, 0, 0, 22, 48, 0, 0, 0, 0, -36, -36, 0, 16, 4, 0, 9, 0, 0, -18, 6, 0, 0, 21, 0, 0, 23, 0, -10, -42, 0, -90, 0, 0, -18, -60, 0, 0, -8, 0, 12, 12, 0, -34, -9, 0, 3, 0, 0, -36, 46, 0, 0, 36, 0, 46, -10, 0, -42, 0, 0, 29, 0, 0, 19, 66, 0, 0, -6, 0, 12, 63, 0, -8, 45, 0, 0, 0, 0, 52, -9, 0, 0, 27, 0, -2, 8, 0, -24, 24, 0, 44, 0, 0, 24, -9, 0, 0, 7, 0, -5, 12, 0, 70, 22, 0, 6, 0, 0, 49, 0, 0, 0, 12, 0, -4, 12, 0, -6, 15, 0, 17, 0, 0, -10, -30, 0, 0, 12, 0, 42, 27, 0, -22, -32, 0, -24, 0, 0, -62, -21, 0, 0, -48, 0, 135, -20, 0, -7, -66, 0, -54, 0, 0, -6, 60, 0, 0, 26, 0, -14, 0, 0, -2, -12, 0, 45, 0, 0, 25, -47, 0, 0, -6, 0, -26, -1, 0, 0, -36, 0, -58, 0, 0, 6, -60, 0, 0, 12, 0, -9, -18, 0, -5, -7, 0, -37, 0, 0, 20, -8, 0, 0, 24, 0, 19, 8, 0, 6, -18, 0, 62, 0, 0, -63, -15, 0, 0, -55, 0, -28, 12, 0, -18, 9, 0, -12, 0, 0, 0, -50, 0, 0, -54, 0, -14, -27, 0, -24, 42, 0, 8, 0, 0, -11, 54, 0, 0, 40, 0, 24, -63, 0, -43, -4, 0, 2, 0, 0, 34, 18, 0, 0, 0, 0, -17, -43, 0, -4, -60, 0, -76, 0, 0, 36, -60, 0, 0, -52, 0, 0, -42, 0, -108, 3, 0, 3, 0, 0, 19, 8, 0, 0, 6, 0, -14, 2, 0, 18, 24, 0, 38, 0, 0, 4, -30, 0, 0, -18, 0, 60, 48, 0, -13, 0, 0, 18, 0, 0, -4, -6, 0, 0, 3, 0, 63, -46, 0, -3, 72, 0, 0, 0, 0, 39, 75, 0, 0, 36, 0, 19, 30, 0, -58, 1, 0, 60, 0, 0, 63, 46, 0, 0, -60, 0, 38, 24, 0, -15, 15, 0, 57, 0, 0, 22, 0, 0, 0, 6, 0, 42, 36, 0, -19, -18, 0, 12, 0, 0, -32, 3, 0, 0, 33, 0, -41, -1, 0, 16, -42, 0, 26, 0, 0, -12, 48, 0, 0, 54, 0, 3, -30, 0, 70, -30, 0, 24, 0, 0, 80, 2, 0, 0, -78, 0, 0, 0, 0, 36, 60, 0, 108, 0, 0, 15, 0, 0, 0, -24, 0, -24, 24, 0, 0, -69, 0, 7, 0, 0, 54, -5, 0, 0, -39, 0, -50, 32, 0, -2, 18, 0, -8, 0, 0, 27, 24, 0, 0, 16, 0, 4, -24, 0, 62, 7, 0, -48, 0, 0, -28, 36, 0, 0, -42, 0, 2, -36, 0, 9, -24, 0, -63, 0, 0, 0, 66, 0, 0, -2, 0, -90, 12, 0, -104, -32, 0, -10, 0, 0, 46, 60, 0, 0, 3, 0, 13, 53, 0, -16, -48, 0, 20, 0, 0, 12, -51, 0, 0, 0, 0, 15, -54, 0, 68, 12, 0, 12, 0, 0, 7, -41, 0, 0, -90, 0, -68, 27, 0, -24, 75, 0, 26, 0, 0, -2, 18, 0, 0, 30, 0, 0, 21, 0, -14, -2, 0, -8, 0, 0, 108, -1, 0, 0, 96, 0, 34, -8, 0, -12, 0, 0, 90, 0, 0, 15, -24, 0, 0, -31, 0, 27, 24, 0, 4, -28, 0, 0, 0, 0, -40, -44, 0, 0, 30, 0, -32, -24, 0, -72, 48, 0, 65, 0, 0, 4, 36, 0, 0, -15, 0, -54, -84, 0, 36, -56, 0, 15, 0, 0, 90, 0, 0, 0, -33, 0, 34, -8, 0, 58, -12, 0, 10, 0, 0, -6, -30, 0, 0, -22, 0, 8, -60, 0, -28, -6, 0, 57, 0, 0, 73, 19, 0, 0, -12, 0, 76, -4, 0, -42, -12, 0, -104, 0, 0, -12, -36, 0, 0, -27, 0, -12, 0, 0, -43, 81, 0, 35, 0, 0, -72, -20, 0, 0, -21, 0, 36, 50, 0, 0, -84, 0, 44, 0, 0, -3, -21, 0, 0, 11, 0, 28, 66, 0, -56, 6, 0, -6, 0, 0, -25, 56, 0, 0, -150, 0, -14, 12, 0, -12, -63, 0, 34, 0, 0, 32, -12, 0, 0, 2, 0, -30, -72, 0, -1, 36, 0, -4, 0, 0, 0, 12, 0, 0, 171, 0, -72, 2, 0, 10, -66, 0, 32, 0, 0, 6, 39, 0, 0, 32, 0, 6, 0, 0, -46, -27, 0, -81, 0, 0, -49, 31, 0, 0, 0, 0, 20, 26, 0, -42, 24, 0, -58, 0, 0, -15, -78, 0, 0, 18, 0, 0, -60, 0, 41, -40, 0, -34, 0, 0, -56, -3, 0, 0, 48, 0, 19, 70, 0, 24, -18, 0, -4, 0, 0, 39, -81, 0, 0, -7, 0, 13, 78, 0, -22, 17, 0, -12, 0, 0, -40, 14, 0, 0, -24, 0, 108, 48, 0, 27, 21, 0, 0, 0, 0, 18, 48, 0, 0, 2, 0, 84, -36, 0, -46, 28, 0, -24, 0, 0, 28, 12, 0, 0, -3, 0, -1, 27, 0, -20, 84, 0, -8, 0, 0, -18, 0, 0, 0, 48, 0, 7, -126, 0, -70, -12, 0, 21, 0, 0, -29, 36, 0, 0, -24, 0, 4, 18, 0, 48, 120, 0, 14, 0, 0, -9, 18, 0, 0, -12, 0, 6, -45, 0, -31, -23, 0, 35, 0, 0, 72, -40, 0, 0, -12, 0, -4, 0, 0, 2, 42, 0, 18, 0, 0, 0, -3, 0, 0, -37, 0, 22, -48, 0, 0, -2, 0, 42, 0, 0, 91, 54, 0, 0, -6, 0, -40, -9, 0, 24, -9, 0, -80, 0, 0, -29, 6, 0, 0, 26, 0, -54, 15, 0, 81, 10, 0, 12, 0, 0, -56, 18, 0, 0, 24, 0, 22, 23, 0, 2, 18, 0, 28, 0, 0, 0, -12, 0, 0, -18, 0, 21, -30, 0, 54, 48, 0, -60, 0, 0, -9, 19, 0, 0, 42, 0, -56, 14, 0, -84, 18, 0, 10, 0, 0, -14, -108, 0, 0, 0, 0, -51, 3, 0, 23, -19, 0, -10, 0, 0, -60, -8, 0, 0, 84, 0, 0, 4, 0, 18, -30, 0, -100, 0, 0, -60, -15, 0, 0, -8, 0, 9, 18, 0, 14, 18, 0, 18, 0, 0, -2, -20, 0, 0, 24, 0, 36, 12, 0, 39, 0, 0, -32, 0, 0, -14, -120, 0, 0, 36, 0, 30, 84, 0, 72, -20, 0, 0, 0, 0, -22, 15, 0, 0, -21, 0, -14, 62, 0, 9, -54, 0, -54, 0, 0, 12, 12, 0, 0, -10, 0, 10, 66, 0, 88, -36, 0, 51, 0, 0, -2, 0, 0, 0, -66, 0, -70, -6, 0, -12, 105, 0, 45, 0, 0, 36, 60, 0, 0, -36, 0, -51, 24, 0, -8, 10, 0, -31, 0, 0, 52, 10, 0, 0, -15, 0, -40, -22, 0, -12, -18, 0, -94, 0, 0, -39, 24, 0, 0, 100, 0, 54, 0, 0, 32, -21, 0, 48, 0, 0, -59, 14, 0, 0, -36, 0, 34, 21, 0, 0, -48, 0, 2, 0, 0, 1, -60, 0, 0, 2, 0, -30, 24, 0, -14, -40, 0, -12, 0, 0, -14, -18, 0, 0, 48, 0, -26, 27, 0, 76, -6, 0, 44, 0, 0, 18, -24, 0, 0, 54, 0, -30, -30, 0, 68, 9, 0, -3, 0, 0, 0, -12, 0, 0, 102, 0, 8, -8, 0, 6, -24, 0, 41, 0, 0, 10, -30, 0, 0, -6, 0, -96, -120, 0, 45, -59, 0, -46, 0, 0, 10, 0, 0, 0, 0, 0, 27, 4, 0, 12, 96, 0, -20, 0, 0, -9, -18, 0, 0, 88, 0, 0, -30, 0, 2, 10, 0, -6, 0, 0, 1, -56, 0, 0, -72, 0, -104, -36, 0, 63, 48, 0, -17, 0, 0, 14, 114, 0, 0, -3, 0, 54, 69, 0, -40, 0, 0, -6, 0, 0, -36, 48, 0, 0, 36, 0, -11, -2, 0, -1, 12, 0, 0, 0, 0, -54, 51, 0, 0, -70, 0, -12, -84, 0, 44, -90, 0, 33, 0, 0, -74, 7, 0, 0, -18, 0, -28, 21, 0, -54, 63, 0, 4, 0, 0, 27, 0, 0, 0, 21, 0, 9, -72, 0, 40, -45, 0, -56, 0, 0, -62, 15, 0, 0, -27, 0, 45, 32, 0, -1, 96, 0, -2, 0, 0, -48, -96, 0, 0, 11, 0, 4, 24, 0, -90, -4, 0, -90, 0, 0, -38, -56, 0, 0, -18, 0, 56, 0, 0, 24, 75, 0, 72, 0, 0, 13, 48, 0, 0, 8, 0, 6, 72, 0, 0, 40, 0, -9, 0, 0, -148, -12, 0, 0, 3, 0, -38, -32, 0, -16, 42, 0, -36, 0, 0, -12, -84, 0, 0, -10, 0, 24, -36, 0, -64, -3, 0, 15, 0, 0, -1, 31, 0, 0, -60, 0, -28, -22, 0, -48, -84, 0, -63, 0, 0, 0, 12, 0, 0, 36, 0, 36, 3, 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": "1350.2.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], [-1], [0], [1], [0], [0], [4], [-1], [0], [0], [-3], [0], [1], [-4], [0], [1], [0], [0], [2], [0], [0], [3], [9], [0], [0], [-1], [0], [4], [6], [0], [-10], [-1], [0], [0], [0], [0], [7], [-2], [0], [0], [-6], [0], [10], [-3], [0], [-9], [-9], [0], [9], [0], [0], [1], [-6], [0], [0], [-4], [0], [-6], [-3], [0], [-7], [10], [0], [1], [0], [0], [4], [0], [0], [0], [15], [0], [-2], [-7], [0], [2], [-12], [0], [8], [0], [0], [6], [12], [0], [0], [-10], [0], [3], [12], [0], [4], [9], [0], [9], [0], [0], [19], [-9], [0], [0]]}