# Stored data for newform 3234.2.a.q, downloaded from the LMFDB on 27 March 2023.
{"level_primes": [2, 3, 7, 11], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 833931581226288680, "level_radical": 462, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/3234/q"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 17, "analytic_conductor": 25.823620013682078, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "3234.2.a.q", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "462.2.a.f", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.023", "prec": 17}, "traces": [0, 1, 1, -1, 1, 0, -1, 0, 1, 1, 0, -1, -1, -2, 0, 0, 1, 0, 1, -2, 0, 0, -1, 0, -1, -5, -2, -1, 0, -6, 0, -2, 1, 1, 0, 0, 1, 2, -2, 2, 0, 0, 0, -4, -1, 0, 0, 6, -1, 0, -5, 0, -2, -6, -1, 0, 0, 2, -6, 0, 0, -2, -2, 0, 1, 0, 1, -4, 0, 0, 0, -12, 1, 4, 2, 5, -2, 0, 2, 8, 0, 1, 0, -6, 0, 0, -4, 6, -1, 6, 0, 0, 0, 2, 6, 0, -1, -2, 0, -1, -5, -6, 0, -14, -2, 0, -6, 0, -1, -10, 0, -2, 0, -18, 2, 0, -6, -2, 0, 0, 0, 1, -2, 0, -2, 0, 0, 8, 1, 4, 0, 6, 1, 0, -4, 0, 0, -18, 0, -14, 0, -6, -12, 2, 1, 0, 4, 0, 2, 6, 5, 8, -2, 0, 0, 0, 2, 16, 8, 6, 0, 0, 1, 20, 0, 0, -6, -12, 0, -9, 0, -2, -4, -18, 6, 0, -1, 0, 6, -12, 0, -20, 0, 2, 0, 0, 2, 0, 6, 0, 0, 24, -1, 2, -2, 0, 0, -6, -1, 10, -5, 4, -6, 0, 0, 0, -14, 0, -2, 2, 0, 20, -6, 12, 0, 0, -1, 0, -10, -4, 0, 0, -2, -2, 0, -5, -18, -18, 2, -20, 0, 0, -6, 18, -2, 0, 0, -8, 0, 0, 0, 28, 1, -1, -2, 0, 0, 4, -2, 6, 0, 0, 0, 0, 8, 0, 1, -18, 4, 0, 0, -6, 6, 24, 1, 0, 0, -6, -4, 0, 0, -20, 0, 0, -18, 5, 0, -10, -14, -2, 0, -6, -6, -14, -12, 0, 2, 0, 1, -17, 0, 2, 4, -18, 0, 0, 2, 1, 6, 0, 5, 0, 8, 6, -2, 0, 0, 34, 0, 14, 0, -6, 2, 10, 16, 0, 8, 18, 6, 6, 0, 0, 0, 0, 1, 10, 20, 10, 0, 0, 0, -4, -6, 2, -12, 0, 0, 14, -9, 18, 0, 2, -2, 0, -4, 0, -18, 0, 6, 10, 0, 2, -1, -18, 0, 0, 6, 0, -12, 0, 0, -15, -20, -1, 0, 0, 2, 22, 0, 0, 0, 0, 2, 2, 0, 0, 6, 12, 0, 20, 0, -8, 24, -6, -1, 0, 2, -4, -2, 6, 0, 0, 0, -6, -6, 0, -1, 16, 10, 0, -5, 6, 4, 4, -6, 0, 0, -2, 0, 40, 0, 18, -14, 0, 0, 0, -2, 14, 2, 12, 0, -10, 20, 6, -6, 0, 12, 0, 0, -2, 0, 0, -1, 22, 0, 0, -10, 0, -4, 28, 0, 0, 0, -12, -2, 0, -2, -6, 0, -18, -5, 0, -18, -8, -18, 0, 2, -22, -20, 0, 0, -6, 0, 8, -6, 0, 18, 36, -2, 0, 0, -16, 0, 4, -8, 10, 0, -6, 0, -24, 0, -4, 28, 0, 1, 0, -1, -4, -2, -20, 0, -12, 0, 0, 4, 0, -2, 0, 6, -4, 0, 12, 0, 36, 0, 0, 0, 9, 8, 24, 0, 0, 1, 2, -18, 0, 4, -6, 0, 18, 0, 6, -6, 10, 6, 0, 24, 0, 1, -23, 0, 0, 0, 0, -6, 0, -4, 12, 0, 0, 0, 2, -20, 20, 0, 0, 0, 8, -18, -2, 5, 12, 0, 0, -10, 0, -14, 18, -2, 8, 0, 0, -6, -18, -6, 0, -14, 0, -12, -6, 0, 32, 2, -24, 0, 0, 1, 10, -17, -2, 0, 0, 2, 6, 4, 0, -18, 24, 0, 4, 0, 6, 2, -24, 1, 0, 6, -10, 0, -36, 5, -8, 0, -4, 8, 0, 6, 40, -2, 0, 0, -12, 0, 26, 34, 0, 0, 42, 14, -20, 0, 0, -6, 0, 2, 25, 10, -2, 16, 0, 0, 20, 8, -20, 18, 0, 6, 0, 6, -12, 0, -30, 0, -32, 0, 0, 0, -6, 1, 0, 10, 0, 20, 30, 10, 0, 0, 4, 0, 0, 0, -44, -4, 0, -6, 0, 2, 0, -12, 2, 0, 2, 0, 14, 14, 5, -9, -18, 18, 0, 0, 18, 2, -12, -2, 0, 0, 20, -4, 12, 0, -8, -18, 0, 0, 0, 6, 0, 10, -18, 0, -18, 2, -4, -1, 0, -18, 0, 0, 26, 0, 8, 6, 0, 0, 0, -12, 0, 0, 18, 0, 0, -15, -28, -20, 30, -1, 46, 0, 1, 0, 0, 2, -26, 22, 0, 0, 4, 0, -16, 0, -4, 0, 48, 2, 0, 2, -6, 0, 0, 0, -4, 6, 0, 12, 0, 0, 26, 20, 0, 0, 12, -8, 0, 24, 0, -6, 0, -1, 16, 0, 18, 2, -36, -4, 10, -2, 0, 6, 0, 0, 12, 0, 6, 0, 0, -6, -50, -6, -24, 0, 0, -1, 4, 16, 0, 10, -36, 0, 0, -5, 6, 6, -4, 4, 0, 4, 0, -6, -42, 0, 10, 0, 20, -2, 0, 0, 8, 40, 0, 0, -42, 18, 20, -14, -5, 0, 36, 0, 52, 0, 10, -2, 0, 14, 0, 2, 2, 12, -6, 0, 7, -10, 6, 20, 0, 6, 0, -6, 14, 0, 0, 12, -2, 0, 0, 0, -36, -2, 40, 0, 0, 0, -24, -1, 0, 22, 17, 0, -8, 0, 8, -10, -2, 0, 0, -4, 14, 28, 18, 0, -30, 0, 44, 0, 0, -12, 24, -2, 0, 0, -1, -2, -12, -6, 0, 0, 0, -18, 12, -5, 0, 0, 0, -18, 0, -8, -52, -18, -6, 0, 0, 2, 6, -22, 0, -20, 0, 0, -16, 0, -34, -6, 24, 0, -10, 8, -14, -6, 6, 0, 0, 18, 6, 36, 0, -2, 52, 0, -10, 0, -18, -16, 0, 0, 0, 4, -12, -8, -8, 10, -18, 0, -42, -6, 0, 0, -6, -24, 0, 0, -27, -4, 0, 28, 0, 0, -16, 1, 0, 0, 12, -1, 0, -4, -10, -2, 18, -20, -6, 0, -10, -12, 6, 0, 0, 0, 0, 4, 0, 0, -40, -2, 4, 0, 0, 6, 10, -4, -2, 0, 0, 12, 0, 0, 0, 36, 12, 0, -22, 0, -14, 0, -48, 9, 0, 8, -18, 24, -24, 0, -32, 0, -2, 1, 0, 2, -16, -18, 0, 0, -48, 4, 62, -6, 0, 0, 0, 18, -38, 0, 0, 6, 0, -6, 0, 10, -10, 6, 18, 0, 8, 24, -2, 0, 0, 1, 0, -23, 18, 0, -42, 0, 52, 0, 0, 0, 2, -6, 34, 0, 0, -4, -12, 12, 20, 0, 0, 0, 12, 0, 0, 2, 15, -20, 0, 20, 8, 0, 1, 0, -42, 0, -22, 8, 0, -18, -36, -2, 0, 5, -22, 12, 60, 0, 0, 0, 0, -10, -24, 0, 6, -14, 0, 18, 0, -2, -22, 8, -2, 0, 0, 0, -44, -6, 0, -18, 0, -6, -34, 0, -12, -14, 14, 0, 0, -12, -20, -6, 0, 0, 0, 32, 8, 2, 0, -24, -4, 0, 6, 0, -12, 1, -62, 10, 0, -17, -12, -2, 4, 0, 4, 0, -24, 2, 0, 6, -6, 4, 0, 0, 20, -18, 0, 24, -30, 0, 0, 4, 6, 0, -36, 6, 0, 2, 0, -24, 60, 1, 0, 0, -16, 6, 6, -10, 0, 0, 0, -36, 10, 5, -10, -8, -6, 0, 0, -4, 0, 8, -4, 0, 0, 6, 2, 40, 0, -2, 24, 0, 0, 0, 2, -12, -36, 0, 0, 26, -40, 34, 30, 0, 52, 0, -18, 42, 0, 14, 16, -20, 0, 0, 0, 0, 18, -6, 0, 0, 24, 2, 4, 25, -14, 10, 0, -2, 0, 16, -12, 0, -12, 0, 4, 20, 10, 8, 0, -20, 0, 18, -6, 0, 0, 6, 8, 0, 0, 6, -24, -12, -62, 0, 0, -30, -60, 0, 0, -32, 2, 0, -42, 0, 4, 0, 0, -6, 0, 1, 38, 0, -22, 10, -60, 0, -16, 20, 0, 30, 0, 10, 0, 0, 0, 0, 12, 4, 0, 0, -28, 0, 60, 0, 34, -44, 0, -4, 30, 0, -16, -6, 12, 0, -1, 2, 8, 0, 0, -12, 0, 2, 28, 0, 6, 2, 0, 0, 0, 14, 18, 14, 24, 5, 0, -9, 0, -18, 0, 18, 0, 0, 8, 0, 60, 18, -36, 2, 0, -12, 12, -2, -33, 0, 22, 0, -42, 20, 0, -4, 0, 12, 0, 0, -22, -8, 6, -18, 0, 0, -8, 0, -8, 0, 0, 6, 0, 0, 0, 10, -8, -18, 4, 0, -36, -18, 0, 2, 0, -4, 0, -1, 30, 0, 0, -18, 16, 0, 0, 0, 20, 26, -4, 0, 0, 8, 8, 6, -10, 0, -42, 0, -10, 0, 6, -12, -6, 0, 0, 0, 24, 18, 60, 0, -6, 0, 4, -15, 0, -28, 28, -20, 0, 30, -24, -1, 50, 46, 0, 0, -12, 1, -26, 0, 4, 0, 0, 2, 0, -26, 20, 22, 36, 0, -64, 0, 12, 4, 0, 0, 0, -16, 0, 0, 30, -4, 28, 0, 0, 48, -60, 2, -50, 0, 0, 2, -42, -6, 0, 0, 4, 0, 12, 0, -16, -4, -12, 6, 0, 0, 18, 12, -36, 0, 54, 0, 0, 26, 0, 20, 0, 0, 0, 0, -9, 12, -36, -8, 10, 0, -24, 24, 14, 0, -26, -6, 0, 0, 0, -1, 36, 16, -2, 0, 0, 18, -14, 2, 0, -36, 0, -4, 14, 10, 6, -2, -12, 0, 0, 6, -18, 0, -60, 0, 0, 12, -6, 0, 0, 6, 10, 0, -10, 0, 48, -6, -2, -50, 0, -6, 12, -24, -40, 0, 0, 0, -24, -1, 0, 4, 23, 16, 0, 0, -8, 10, 0, -36, 0, 0, -22, 0, 0, -5, 72, 6, 0, 6, 0, -4, -12, 4, -26, 0, -12, 4, 78, 0, 0, -6, 0, -42, 24, 0, 50, 10, -2, 0, 0, 20, -38, -2, -20, 0, 0, 0, 0, 8, 0, 40, -72, 0, -6, 0, -8, -42, 12, 18, 0, 20, 2, -14, 0, -5, -16, 0, -12, 36, 0, 0, -68, 52, 0, 0, -8, 10, 56, -2, 0, 0, 36, 14, 22, 0, -18, 2, 0, 2, 20, 12, -8, -6, 0, 0, -41, 7, 0, -10, 0, 6, 0, 20, 18, 0, -12, 6, 34, 0, 0, -6, -6, 14, -8, 0, 0, 0, -12, 12, 0, -2, 6, 0, -54, 0, 0, 0, -32, -36, 0, -2, 0, 40, 24, 0, -6, 0, 8, 0, 0, -24, -16, -1, 0, 0, -10, 22, -6, 17, 0, 0, 2, -8, 12, 0, 40, 8, 0, -10, 0, -2, -52, 0, -6, 0, 0, -4, 10, 14, 0, 28, 0, 18, 8, 0, -24, -30, 0, 0, 0, 44, -4, 0, 12, 0, 0, -12, -6, 24, 60, -2, -20, 0, 24, 0, 36, -1, 46, -2, 0, -12, -36, -6, 2, 0, 10, 0, -20, 0, 0, -18, 36, 12, 0, -5, 50, 0, 8, 0, 0, 0, 28, -18, 4, 0, -6, -8, 0, -52, 0, -18, 0, -6, 0, 0, -40, 0, 72, 2, -20, 6, 0, -22, 0, 0, -40, -20, 12, 0, 0, 0, 12, -16, -26, 0, 0, -34, 4, -6, 0, 24, 24, 0, -27, -10, -42, 8, 0, -14, 0, -6, 20, 6, 9, 0, -38, 0, 0, 18, 0, 6, -2, 36, 0, 0, -24, -2, -58, 52, -25, 0, -18, -10, 10, 0, 2, -18, 0, -16, 0, 0, 0, 0, -12, 0, 4, 4, -20, -12, 0, -8, 0, -8, 20, 10, -54, -18, 18, 0, 0, -42, 12, -6, 0, 0, 0, 0, -6, -6, 0, -24, 12, 0, 12, 0, 0, -27, 30, -4, 0, 0, 0, 28, 32, 0, -30, 0, -82, -16, 0, 1, -12, 0, 0, 0, 6, 12, 24, -1, 0, 0, 0, -4, 18, -10, -62, -2, 0, 18, 0, -20, 28, -6, -30, 0, -12, -10, -16, -12, 0, 6, 0, 0, 12, 0, -4, 0, 72, 0, -40, 4, 0, 0, 78, 0, 0, -40, 44, -2, 0, 4, 10, 0, 0, 0, 20, 6, 16, 10, 0, -4, -18, -2, 8, 0, 0, 0, 84, 12, 0, 0, -2, 0, 0, 0, -76, 36, -2, 12, 0, 0, 62, -22, -14, 0, -24, -14, 0, 0, -5, -48, -12, 9, -68, 0, 18, 8, 0, -18, 0, 24, 0, -24, 36, 0, -32, -32, -18, 0, 0, -2, 0, 1, 12, 0, 0, 2, 38, -16, 0, -18, 0, 0, 72, 0, -20, -48, -48, 4, 0, 62, -12, -6, -18, 0, 20, 0, 8, 0, 30, 18, 8, -38, 0, 0, -54, 0, -4, 6, 0, 0, 0, -6, -20, 0, 0, 10, 0, -10, 0, 6, 18, 18, -48, 0, -24, 8, 18, 24, 0, -2, 0, 0, 4, 0, 48, 1, -62, 0, 0, -23, -24, 18, -40, 0, 0, -42, -2, 0, 0, 52, -26, 0, 18, 0, -74, 0, -8, 2, 0, -6, -70, 34, 0, 0, -42, 0, -76, -4, 0, -12, 36, 12, 0, 20, 0, 0, 30, 0, 0, 0, -18, 12, 0, 0, -38, 0, 0, 2, 0, 15, 6, -20, 28, 0, 24, 20, 0, 8, -30, 0, 0, 1, 20, 0, -46, -42, 0, 0, 0, -22, -1, 8, -10, 0, 0, -18, 0, -36, 0, -2, 44, 0, 26, 5, 24, -22, -44, 12, 0, 60, 48, 0, -11, 0, -4, 0, 6, 0, 0, -10, 16, -24, 0, 0, 26, 6, 4, -14, -30, 0, 0, 18, -48, 0, 0, -2, 0, -22, 0, 8, 78, -2, -44, 0, 6, 0, 54, 0, 0, -44, 0, -6, 36, 0, -88, -18, 4, 0, 0, -6, -4, -34, 0, 0, 0, -12, -8, -14, 0, 14, 12, 0, 26, 0, -26, -12, 36, -20, 0, -6, 0, 0, 24, 0, -50, 0, -12, 32, 0, 8, -56, 2, 0, 0, -48, -24, 14, -4, 0, 0, -54, 6, -2, 0, 0, -12, 0, 1, 0, -62, -16, 10, 78, 0, -28, -17, -18, -12, 0, -2, 0, 4, 36, 0, -20, 4, 0, 0, -10, -24, 24, 2, 0, 0, 0, 6, -66, -6, 0, 4, 0, 0, 84, 0, 52, 20, -12, -18, 0, 0, -52, 24, -6, -30, -96, 0, 40, 0, 0, 4, 36, 6, 0, 0, 50, -36, 0, 6, 0, 0, 24, 2, 0, 0, 58, -24, 0, 60, 0, 1, -10, 0, -4, 0, 42, -16, -8, 6, 0, 6, 0, -10, -58, 0, 36, 0, 84, 0, 0, -36, 0, 10, 30, 5, 0, -10, -6, -8, 0, -6, 36, 0, 4, 0, -42, -4, -16, 0, 0, 8, 54, -4, 0, 0, 0, 0, 36, 6, 10, 2, 42, 40, 0, 0, 0, -2, -10, 24, 0, 0, 86, 0, -20, 0, -12, 2, 0, -12, 0, -36, -12, 0, -16, 0, -8, 26, 2, -40, 0, 34, 0, 30, 36, 0, 0, 52, 42, 0, 0, -18, 4, 42, -20, 0, 0, 14, -46, 16, 5, -20, -42, 0, -8, 0, -36, 0, -48, 0, 0, 18, -52, -6, -12, 0, -36, 0, -10, 24, 0, 2, 18, 4, 0, 25, 0, -14, 8, 10, 0, 0, 0, -2, -4, 0, -2, 16, 0, -12, 0, 0, 6, -12, 20, 0, 26, 4, -7, 20, 30, 10, 0, 8, -6, 0, -60, -20, 0, 0, 0, 18, 0, -6, -20, 0, 0, 0, -48, 6, 0, 8, -14, 0, 42, 0, -8, 6, 0, -24, 0, -12, -34, -62, 2, 0, 12, 0, -18, -30, 0, -60, 0, 0, 0, 0, 36, -32, 12, 2, 70, 0, -40, -42, -60, 0, -36, 4, 0, 0, 0, 0, -20, -6, 24, 0, 24, 1, 40, 38, 0, 0, 0, -22, 0, 10, -17, -60, 36, 0, 0, -16, 8, 20, 24, 0, 0, 30, -8, 0, 0, 10, 28, 0, 2, 0, -36, 0, 8, 0, 0, 12, -24, 4, 0, 0, -14, 0, 66, -28, 0, 0, -18, 60, 0, 0, 28, 34, 30, -44, 0, 0, 56, -4, -44, 30, -28, 0, 0, -16, 0, -6, -66, 12, -38, 0, -24, -1, 42, 2, 0, 8, 0, 0, 0, 0, -100, -12, 1, 0, 0, 2, 4, 28, 12, 0, 0, 6, -4, 2, 0, 0, 54, 0, 74, 0, 0, 14, 36, 18, 0, 14, -12, 24, -60, 5, 8, 0, 0, -9, 0, 0, 64, -18, 0, 0, 12, 18, 14, 0, 0, 0, -4, 8, -56, 0, 52, 60, 0, 18, 50, -36, 6, 2, -54, 0, -52, -12, 0, 12, 0, -2, 0, -33, -6, 0, -42, 22, -40, 0, 0, -42, 0, 20, 94, 0, 0, -4, 18, 0, 0, 12, 16, 0, -12, 0, 0, -22, 34, -8, 0, 6, -40, -18, -24, 0, 0, 0, 0, -8, 10, 0, -30, -8, 0, 0, 14, 0, 0, 6, 0, 0, -6, 0, 102, 0, 100, 10, 0, -8, 0, -18, -58, 4, -6, 0, 6, -36, 28, -18, 0, 0, 0, 2, -17, 0, -52, -4, 12, 0, 0, -1, 10, 30, 60, 0, 0, 0, 18, -18, 90, 16, 18, 0, 0, 0, -12, 0, -44, 20, 0, 26, -30, -4, 0, 0, 12, 0, -36, 8, 0, 8, 8, 6, 0, -10, 32, 0, 18, -42, 0, 0, -58, -10, 42, 0, 36, 6, 0, -12, 0, -6, -12, 0, -16, 0, 6, 0, 0, 24, 0, 18, 0, 60, 72, 0, 16, -6, 27, 0, 0, 4, 46, -15, 0, 0, 0, -28, -24, 28, 0, -20, 42, 0, 4, 30, 16, -24, 24, -1, 0, 50, 0, 46, -18, 0, 0, 0, -12, -12, 0, 1, 70, -26, 0, 0, 0, 4, 16, 0, 10, 0, 36, 2, 36, 0, -18, -26, 0, 20, 0, 22, 6, 36, -30, 0, 0, -64, 10, 0, 0, 12, 0, 4, -6, 0, 36, 0, 82, 0, 0, -16, 12, 0, 0, 0, 0, 30, 36, -4, 0, 28, 0, 0, 66, 0, -92, 48, 40, -60, 0, 2, 40, -50, -4, 0, 20, 0, -32, 2, 0, -42, 84, -6, 0, 0, -10, 0, 0, 4, 0, 0, 2, 12, -24, 0], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "-+-+", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [7, -1], [11, 1]], "char_values": [3234, 1, [1079, 199, 2059], [1, 1, 1]], "Nk2": 12936, "field_poly_root_of_unity": 0, "analytic_rank": 1, "char_orbit_label": "a", "weight": 2, "trace_display": [1, -1, 0, 0], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [0, 1]], [13, [2, 1]], [17, [0, 1]]], "space_label": "3234.2.a", "level": 3234, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 72057594071485602, "fricke_eigenval": 1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "1.976", "prec": 17}, {"__RealLiteral__": 0, "data": "0.176", "prec": 17}, {"__RealLiteral__": 0, "data": "4.983", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [1], [-1], [1], [0], [-1], [0], [1], [1], [0], [-1], [-1], [-2], [0], [0], [1], [0], [1], [-2], [0], [0], [-1], [0], [-1], [-5], [-2], [-1], [0], [-6], [0], [-2], [1], [1], [0], [0], [1], [2], [-2], [2], [0], [0], [0], [-4], [-1], [0], [0], [6], [-1], [0], [-5], [0], [-2], [-6], [-1], [0], [0], [2], [-6], [0], [0], [-2], [-2], [0], [1], [0], [1], [-4], [0], [0], [0], [-12], [1], [4], [2], [5], [-2], [0], [2], [8], [0], [1], [0], [-6], [0], [0], [-4], [6], [-1], [6], [0], [0], [0], [2], [6], [0], [-1], [-2], [0], [-1], [-5]]}