# Stored data for newform 9025.2.a.d, downloaded from the LMFDB on 25 April 2024. {"label": "9025.2.a.d", "space_label": "9025.2.a", "level": 9025, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915674945, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1394994691620636196, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [3, [2, 1]], [7, [-1, 1]], [11, [-3, 1]], [29, [6, 1]]], "qexp_display": "q-2q^{3}-2q^{4}+q^{7}+q^{9}+3q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 36100, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 72.06498782420555, "hecke_ring_index": 1, "level_radical": 95, "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": "0.015", "prec": 17}, "analytic_rank_proved": true, "char_values": [9025, 1, [5777, 3251], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [5, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.098", "prec": 17}, {"__RealLiteral__": 0, "data": "1.897", "prec": 17}, {"__RealLiteral__": 0, "data": "0.305", "prec": 17}, {"__RealLiteral__": 0, "data": "4.617", "prec": 17}], "related_objects": ["EllipticCurve/Q/9025/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [19, -1]], "trace_display": [0, -2, 0, 1], "traces": [0, 1, 0, -2, -2, 0, 0, 1, 0, 1, 0, 3, 4, -4, 0, 0, 4, 3, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, -2, -6, 0, 4, 0, -6, 0, 0, -2, 2, 0, 8, 0, 6, 0, 1, -6, 0, 0, 3, -8, -6, 0, -6, 8, 12, 0, 0, 0, 0, 0, 6, 0, -1, 0, 1, -8, 0, 0, -4, -6, 0, 0, -6, 0, 7, 0, 0, 0, 3, 0, -8, 0, -11, 0, -12, 4, 0, 0, 12, 0, -12, 0, -4, 0, -8, 0, 0, 0, 8, 0, 3, 0, 6, 0, 14, 0, 0, 0, -18, -8, 16, 0, -4, 4, 6, 0, 0, 12, -4, 0, 3, 0, -2, 0, -12, -8, 0, 0, 2, 0, -2, 0, -15, 12, 0, 0, 0, 0, 3, 0, -13, 0, -6, 0, -12, 4, 0, 0, 12, -4, 21, 0, 10, 0, 3, 0, 0, -16, -14, 0, -24, 0, 0, 0, -20, -12, 0, 0, -18, 0, 3, 0, 0, -2, -18, 0, 0, 12, -12, 0, 18, 0, -2, 0, 2, 0, 0, 0, 9, -6, 4, 0, 3, 16, -4, 0, 0, 12, -18, 0, 11, 0, 8, 0, -6, 12, 0, 0, 0, -16, 0, 0, -14, -24, 12, 0, 0, 0, 4, 0, -14, 0, -12, 0, -10, 0, 0, 0, 12, 0, 5, 0, -6, 0, 21, 0, 0, -12, 16, 0, 15, 0, 10, 0, 10, 2, 0, 0, 0, 0, 24, 0, 21, -2, 0, 0, 0, 16, 0, 0, 2, 0, -6, 0, -9, 0, 0, 0, 24, 8, -24, 0, -16, 12, 8, 0, 0, 0, 19, 0, 4, 0, -6, 0, 13, 12, 0, 0, 6, 0, -8, 0, -16, -14, -12, 0, 0, 0, 12, 0, 0, 0, 1, 0, -12, 0, 0, 0, 20, -6, -28, 0, -3, 0, 10, 0, 0, 16, 6, 0, -18, 0, 36, 0, 0, 22, 0, 0, -32, 0, 3, 0, 28, 24, 2, 0, 0, -8, 32, 0, -12, 0, 12, 0, -13, 0, 0, 0, -21, -24, 17, 0, -16, 0, 6, 0, 0, 24, -6, 0, 15, 0, 0, 0, 4, 8, 0, 0, -8, 0, 6, 0, 12, 16, -4, 0, 0, 0, 24, 0, 34, 0, -4, 0, 12, 0, 0, 0, 1, -16, 15, 0, 0, 0, 30, 0, 0, -6, 7, 0, 0, 0, -12, 0, -16, -12, 0, 0, 6, 0, 4, 0, -6, -28, 6, 0, 0, 0, 26, 0, -12, 0, -8, 0, 3, 0, 0, 0, -1, 36, 24, 0, 24, 16, 2, 0, 0, -32, 0, 0, 10, 0, -6, 0, 3, 8, 0, 0, -42, -8, 0, 0, 18, -12, -20, 0, 0, 0, 37, 0, 12, 0, 9, 0, 31, -24, 0, 0, 27, 8, -4, 0, 28, 0, 3, 0, 0, -6, 12, 0, -12, 0, -8, 0, 0, 4, 0, 0, 2, 0, 40, 0, 12, 24, -18, 0, 0, 16, -6, 0, 5, 0, 36, 0, -12, 0, 0, 0, -6, -4, 0, 0, 7, 0, 0, 0, 0, 4, 9, 0, 36, 0, 0, 0, 38, 30, 0, 0, 12, -24, -23, 0, 6, 0, -24, 0, 0, 0, -36, 0, -18, 0, -25, 0, 4, 0, 0, 0, -28, -6, -1, 0, 0, 0, -8, 0, 0, 26, -21, 0, -4, 0, -18, 0, 6, 12, 0, 0, -11, 0, 24, 0, -4, 24, -6, 0, 0, -8, -11, 0, 8, 0, -12, 0, 36, 0, 0, 0, -45, -24, 0, 0, 36, 8, 42, 0, 0, -42, -22, 0, 36, 0, -26, 0, -4, -20, 0, 0, 32, 0, 12, 0, -12, -6, -29, 0, 0, 0, -9, 0, 44, 0, 0, 0, -12, 32, 0, 0, 0, 28, 6, 0, 11, 0, 28, 0, 0, 48, 24, 0, -6, 0, 0, 0, 13, 0, 0, 0, -27, 0, 18, 0, -8, 40, 39, 0, 0, 24, 7, 0, 30, 0, -32, 0, 24, 0, 0, 0, 0, 36, 20, 0, -3, 0, -10, 0, 0, -6, -42, 0, 8, 0, -24, 0, 36, 0, 0, 0, -10, 4, -48, 0, 17, 36, 3, 0, 0, 0, 18, 0, -42, 0, 6, 0, 0, -24, 0, 0, 6, 24, 26, 0, -8, 0, 0, 0, 0, -36, -30, 0, 15, 0, 14, 0, -20, 4, 0, 0, 19, 0, 13, 0, 3, -4, 22, 0, 0, 0, -12, 0, 11, 0, 0, 0, -24, 0, 0, 0, -12, -18, -18, 0, -32, 12, -42, 0, 0, -8, 25, 0, 0, 0, 33, 0, 16, -6, 0, 0, -24, -32, 23, 0, 0, 8, -6, 0, 0, 0, -4, 0, 0, 0, -18, 0, -24, -24, 0, 0, -4, 36, 18, 0, 6, 0, 4, 0, 0, -22, -12, 0, 9, 0, -12, 0, 21, -16, 0, 0, 48, 0, -9, 0, 16, 12, 32, 0, 0, -24, 0, 0, -4, 0, 33, 0, 49, 0, 0, 0, 12, 0, 16, 0, -38, 32, -18, 0, 0, 0, 16, 0, -18, 0, 7, 0, 12, 28, 0, 0, -2, 48, -26, 0, 0, -24, -26, 0, 0, 0, 18, 0, -49, 0, -12, 0, 18, 0, 0, 0, 16, -8, -24, 0, 16, 0, 8, 0, 0, 28, -22, 0, 24, 0, -27, 0, -47, 24, 0, 0, 18, 0, 2, 0, -33, 20, 0, 0, 0, 0, 0, 0, -24, 0, 36, 0, -2, 0, 0, 0, 8, -24, 6, 0, 6, 0, -36, 0, 0, -10, -15, 0, 20, 0, -40, 0, 24, 12, 0, 0, 14, 0, -18, 0, 0, -42, 6, 0, 0, 0, 7, 0, -20, 0, 18, 0, 0, 24, 0, 0, 36, -32, -28, 0, -12, 0, -48, 0, 0, -30, 36, 0, 3, 0, -15, 0, -18, -20, 0, 0, 40, 0, 0, 0, -60, -20, -13, 0, 0, -4, 24, 0, -36, 0, 16, 0, -36, 0, 0, 0, -6, 0, 0, 0, 34, 0, -56, 0, 0, -48, -17, 0, 8, 0, -12, 0, 18, -42, 0, 0, 0, 4, -20, 0, -64, 0, -9, 0, 0, 0, 6, 0, -30, 0, 40, 0, -24, -32, 0, 0, 32, 0, 26, 0, -24, 0, -26, 0, 0, -4, -3, 0, 4, 0, 42, 0, 21, 12, 0, 0, -34, 0, 27, 0, 44, 18, 44, 0, 0, 0, 10, 0, -12, 0, 33, 0, 56, 0, 0, 0, 24, -48, -1, 0, 3, -16, -12, 0, 0, 48, -30, 0, 48, 0, 0, 0, 0, 32, 0, 0, 19, -24, -2, 0, 24, -16, -58, 0, 0, 0, 6, 0, -14, 0, 16, 0, 57, 0, 0, 0, 24, -38, -15, 0, 18, 0, -24, 0, 0, -8, -34, 0, 8, 0, 0, 0, 26, 12, 0, 0, 0, 0, -50, 0, -48, -26, 42, 0, 0, -24, -68, 0, -12, 0, -20, 0, 2, 0, 0, 0, 8, -12, -24, 0, 36, 0, -34, 0, 0, 16, 48, 0, 0, 0, 4, 0, 57, 32, 0, 0, -30, 28, -18, 0, -56, 24, 0, 0, 0, 0, -54, 0, -15, 0, 18, 0, 3, 0, 0, 0, -48, -24, -36, 0, -14, 0, 36, 0, 0, 0, 0, 0, 48, 0, 5, 0, 24, -2, 0, 0, -18, 0, 32, 0, -18, 24, 46, 0, 0, 0, -30, 0, 0, 0, -12, 0, -45, 0, 0, 0, -8, -40, -36, 0, 10, 12, 3, 0, 0, 56, -40, 0, -12, 0, 21, 0, 18, 6, 0, 0, -6, 0, 10, 0, -13, -20, 18, 0, 0, 0, 24, 0, 60, 0, -32, 0, 16, -32, 0, 0, -2, -12, 12, 0, 24, 0, 0, 0, 0, 36, -21, 0, -7, 0, 2, 0, 0, -72, 0, 0, -12, 0, 9, 0, -14, 0, -48, 0, 0, -44, -2, 0, -4, 0, 18, 0, 1, 0, 0, 0, 60, 64, 9, 0, 0, 0, -24, 0, 0, -6, -20, 0, 66, 0, 10, 0, -24, -56, 0, 0, -32, -48, -6, 0, -39, -4, 4, 0, 0, 0, 3, 0, -56, 0, 21, 0, -24, 16, 0, 0, 0, -64, 0, 0, -4, 0, -36, 0, 0, 24, 0, 0, 10, 0, 60, 0, -18, -24, 0, 0, -36, 0, -33, 0, -74, 26, 33, 0, 0, 0, -33, 0, -18, 0, -14, 0, -18, 0, 0, 0, 0, 42, -62, 0, 72, 48, 11, 0, 0, -34, 6, 0, -14, 0, -54, 0, 0, 32, 0, 0, 8, 0, -66, 0, -36, -12, -14, 0, 0, 0, -64, 0, -6, 0, 36, 0, 7, -48, 0, 0, -42, 12, 71, 0, 48, 0, -6, 0, 0, -30, 24, 0, -24, 0, -45, 0, 16, 0, 0, 0, 62, 0, 0, 0, 3, -8, -59, 0, 0, -16, 12, 0, 52, 0, -4, 0, 0, 0, 0, 0, -20, 16, -24, 0, -68, 0, -24, 0, 0, -12, -14, 0, 36, 0, 30, 0, 55, -24, 0, 0, 45, -32, -31, 0, 12, 8, -27, 0, 0, 0, -10, 0, -24, 0, 0, 0, -18, 0, 0, 0, 9, -48, 24, 0, 60, 0, -36, 0, 0, -68, 12, 0, -24, 0, 3, 0, -54, 8, 0, 0, 0, 0, -39, 0, -7, -24, -14, 0, 0, 0, -72, 0, 0, 0, 0, 0, 40, 0, 0, 0, -12, -2, -38, 0, -18, 32, 66, 0, 0, -30, -18, 0, 21, 0, -10, 0, 0, 0, 0, 0, 43, 0, -76, 0, 0, -60, 8, 0, 0, 0, 0, 0, -32, 0, -24, 0, -21, 12, 0, 0, 46, -14, 12, 0, 2, 0, 24, 0, 0, 0, -50, 0, 48, 0, 51, 0, 5, 24, 0, 0, -60, 0, 64, 0, 18, 32, 9, 0, 0, 24, 36, 0, 12, 0, 29, 0, 50, 0, 0, 0, 26, -12, -2, 0, 21, 0, 0, 0, 0, -8, -66, 0, 63, 0, 56, 0, 48, 12, 0, 0, -4, 56, 24, 0, -8, -12, 0, 0, 0, 0, 70, 0, 16, 0, 30, 0, -46, 0, 0, 0, -54, -52, -13, 0, 42, 0, 15, 0, 0, 24, 8, 0, 0, 0, -5, 0, 9, 16, 0, 0, 10, 0, -12, 0, 0, -6, 74, 0, 0, 0, 9, 0, 64, 0, 10, 0, 60, 0, 0, 0, -48, 2, -36, 0, -36, -72, 8, 0, 0, -48, 18, 0, 3, 0, 39, 0, -22, -48, 0, 0, -42, -32, 0, 0, 22, -4, 45, 0, 0, 0, -4, 0, 6, 0, -32, 0, 24, 64, 0, 0, -34, 0, -72, 0, 42, 0, -17, 0, 0, -20, 21, 0, -49, 0, 90, 0, 6, 12, 0, 0, 0, 0, 6, 0, 0, -6, -18, 0, 0, -16, 32, 0, -84, 0, -12, 0, -56, 0, 0, 0, 21, 84, -44, 0, 11, 16, -60, 0, 0, 0, -72, 0, 0, 0, 34, 0, 52, -36, 0, 0, 52, 24, -16, 0, 15, 40, -12, 0, 0, 0, 0, 0, -54, 0, -64, 0, 42, 0, 0, 0, -6, -74, 24, 0, -4, 0, 24, 0, 0, -24, -54, 0, 58, 0, -9, 0, 0, -18, 0, 0, -33, 0, -42, 0, 18, -62, 48, 0, 0, 48, -88, 0, 9, 0, 10, 0, 0, 0, 0, 0, 49, -54, 24, 0, 3, -16, 25, 0, 0, 8, -36, 0, -1, 0, 0, 0, -24, -56, 0, 0, -12, 0, -72, 0, -4, -6, -22, 0, 0, 0, -16, 0, -14, 0, -42, 0, -54, 12, 0, 0, -27, -24, 0, 0, -48, 0, 72, 0, 0, 24, -24, 0, 0, 0, 18, 0, 0, 16, 0, 0, 18, 0, -26, 0, 30, 0, 26, 0, 0, -8, -84, 0, 19, 0, 54, 0, 24, 0, 0, 0, -36, -4, -30, 0, -8, 0, 4, 0, 0, -80, 0, 0, -78, 0, 24, 0, -40, -24, 0, 0, -6, -48, 54, 0, 28, 36, 9, 0, 0, 0, -60, 0, 48, 0, 13, 0, 64, -32, 0, 0, 19, 12, -12, 0, -6, 0, 31, 0, 0, -10, 6, 0, -25, 0, 0, 0, 24, -72, 0, 0, -10, 0, -36, 0, 5, 24, 6, 0, 0, 0, 20, 0, 20, 0, 3, 0, -8, 0, 0, 0, -12, 12, -14, 0, 84, 8, 0, 0, 0, 0, -16, 0, -45, 0, 56, 0, 12, -14, 0, 0, 0, 0, -72, 0, -12, 0, -74, 0, 0, 0, -6, 0, 36, 0, 5, 0, -3, -8, 0, 0, 96, -18, -30, 0, 0, 0, -34, 0, 0, -72, -16, 0, 12, 0, 48, 0, -58, 0, 0, 0, 48, 0, 16, 0, -36, -76, 0, 0, 0, -60, 21, 0, -3, 0, 9, 0, -12, 0, 0, 0, -6, -24, 0, 0, -48, 48, 1, 0, 0, 46, -42, 0, 80, 0, -12, 0, -12, -12, 0, 0, -52, 0, -3, 0, -62, 48, -32, 0, 0, 0, -41, 0, 0, 0, -66, 0, -16, 0, 0, 0, 0, 72, 20, 0, 15, 0, -6, 0, 0, 36, -30, 0, 6, 0, 52, 0, -28, 50, 0, 0, -54, 0, 10, 0, 72, -8, 72, 0, 0, 0, -3, 0, -20, 0, -38, 0, 12, 0, 0, 0, -56, 56, 33, 0, 10, 12, -6, 0, 0, 2, 40, 0, -44, 0, -24, 0, -46, 0, 0, 0, 90, 0, -38, 0, 24, 16, 87, 0, 0, 0, -22, 0, 6, 0, 71, 0, 0, -52, 0, 0, -45, 42, 48, 0, 0, 0, -18, 0, 0, 8, -6, 0, -64, 0, -48, 0, -3, 36, 0, 0, 36, 0, 72, 0, -61, -12, 64, 0, 0, -24, -2, 0, 21, 0, 0, 0, 28, 0, 0, 0, 51, 22, -20, 0, -50, 0, 42, 0, 0, -48, 0, 0, 12, 0, 59, 0, -66, 8, 0, 0, 16, -48, -32, 0, 48, 12, 80, 0, 0, 0, 27, 0, 0, 0, 48, 0, -18, 16, 0, 0, -46, 22, -54, 0, 64, 0, 0, 0, 0, -16, 28, 0, 12, 0, -42, 0, 0, 24, 0, 0, -72, 0, 9, 0, 2, -72, 6, 0, 0, 0, 0, 0, -24, 0, 2, 0, 36, 0, 0, 0, 26, 90, 66, 0, 72, 48, 8, 0, 0, 0, -9, 0, 32, 0, 8, 0, -39, -72, 0, 0, -9, -16, 0, 0, 22, -84, -12, 0, 0, 0, -52, 0, -8, 0, 27, 0, 62, 84, 0, 0, 12, 44, 40, 0, 24, 0, 72, 0, 0, -72, -18, 0, 48, 0, 29, 0, -48, 52, 0, 0, 72, 0, -42, 0, -12, 8, 0, 0, 0, 40, 63, 0, 36, 0, -24, 0, 78, 0, 0, 0, 18, -64, -21, 0, -36, 0, -32, 0, 0, -24, 55, 0, -16, 0, 42, 0, 17, 24, 0, 0, 30, 12, -32, 0, 0, 58, -30, 0, 0, 0, -16, 0, -48, 0, 0, 0, -66, 0, 0, 0, 7, 18, -98, 0, 6, 0, -46, 0, 0, -88, 78, 0, -8, 0, -24, 0, -12, 0, 0, 0, -32, 0, 0, 0, 36, 24, 19, 0, 0, -64, 36, 0, 36, 0, -6, 0, 74, 0, 0, 0, 0, 0, 16, 0, -44, -56, 15, 0, 0, -12, 36, 0, 15, 0, 16, 0, -14, -22, 0, 0, 0, 0, -6, 0, -12, -56, 63, 0, 0, 0, 6, 0, -74, 0, 4, 0, 15, -96, 0, 0, 13, -48, 54, 0, 59, 0, 0, 0, 0, 12, -65, 0, 52, 0, 72, 0, 63, 0, 0, 0, 30, 0, -8, 0, -36, -26, -48, 0, 0, 0, 98, 0, -12, 0, 72, 0, 6, 0, 0, 0, -44, 54, -36, 0, -72, 0, -11, 0, 0, -36, -72, 0, 0, 0, -8, 0, 0, 16, 0, 0, 48, -80, 75, 0, -4, -78, -32, 0, 0, 0, 8, 0, 32, 0, 78, 0, -1, -48, 0, 0, -12, -14, 45, 0, 44, 0, 21, 0, 0, -60, -12, 0, 24, 0, 0, 0, 54, 64, 0, 0, 43, 0, 94, 0, 30, -48, 34, 0, 0, 0, -27, 0, 22, 0, -36, 0, 96, 0, 0, 0, -4, 0, -42, 0, -64, -72, 30, 0, 0, -40, 22, 0, 0, 0, 12, 0, 7, 6, 0, 0, 6, 0, 46, 0, 0, 20, -54, 0, 0, 0, 48, 0, 0, 0, 14, 0, -72, 12, 0, 0, 55, 84, 1, 0, 30, 0, -22, 0, 0, -16, 0, 0, -20, 0, -16, 0, 15, 48, 0, 0, 24, 0, 42, 0, -50, -72, -12, 0, 0, 0, 0, 0, 72, 0, 66, 0, 56, 0, 0, 0, -24, 20, 76, 0, 30, -8, -87, 0, 0, 96, -40, 0, -48, 0, 63, 0, 20, -34, 0, 0, -40, -72, -48, 0, -60, -6, 18, 0, 0, 0, -78, 0, 7, 0, 56, 0, 0, 0, 0, 0, 36, -36, -48, 0, -43, 0, 0, 0, 0, 84, 19, 0, -3, 0, -66, 0, 14, -12, 0, 0, -12, 0, 91, 0, -14, 0, -48, 0, 0, 48, 10, 0, 21, 0, -16, 0, -36, 0, 0, 0, 0, -12, 0, 0, 0, -48, 8, 0, 0, -52, 93, 0, -54, 0, -72, 0, 18, 16, 0, 0, 56, 0, 6, 0, -19, 0, 6, 0, 0, 0, -50, 0, 96, 0, -90, 0, 4, 72, 0, 0, -3, 60, 0, 0, -18, 0, 9, 0, 0, -30, -6, 0, 96, 0, -4, 0, 30, -28, 0, 0, -28, 0, -72, 0, -36, 40, -27, 0, 0, -8, 78, 0, 40, 0, -80, 0, 18, 0, 0, 0, 0, -38, -72, 0, -36, 0, 120, 0, 0, -26, 2, 0, 26, 0, 0, 0, -16, -6, 0, 0, 15, 8, -36, 0, -48, -44, -12, 0, 0, 0, 72, 0, -18, 0, -54, 0, 64, 0, 0, 0, -8, 24, 72, 0, -48, 0, -52, 0, 0, -22, 24, 0, -72, 0, 3, 0, 102, 0, 0, 0, 0, 0, -93, 0, -61, 48, -68, 0, 0, 0, -20, 0, 28, 0, -48, 0, 0, 0, 0, 0, -84, 24, 6, 0, 34, 36, 42, 0, 0, 36, -22, 0, 45, 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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "19.2.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], [-2], [-2], [0], [0], [1], [0], [1], [0], [3], [4], [-4], [0], [0], [4], [3], [0], [0], [0], [-2], [0], [0], [0], [0], [0], [4], [-2], [-6], [0], [4], [0], [-6], [0], [0], [-2], [2], [0], [8], [0], [6], [0], [1], [-6], [0], [0], [3], [-8], [-6], [0], [-6], [8], [12], [0], [0], [0], [0], [0], [6], [0], [-1], [0], [1], [-8], [0], [0], [-4], [-6], [0], [0], [-6], [0], [7], [0], [0], [0], [3], [0], [-8], [0], [-11], [0], [-12], [4], [0], [0], [12], [0], [-12], [0], [-4], [0], [-8], [0], [0], [0], [8], [0], [3], [0]]}