# Stored data for newform 6762.2.a.bh, downloaded from the LMFDB on 22 May 2022. {"level_primes": [2, 3, 7, 23], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 2292621296758125434, "level_radical": 966, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/6762/bh"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 34, "analytic_conductor": 53.9948418467898, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "6762.2.a.bh", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "966.2.i.c", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, "traces": [0, 1, 1, 1, 1, -1, 1, 0, 1, 1, -1, -3, 1, -2, 0, -1, 1, 2, 1, 2, -1, 0, -3, 1, 1, -4, -2, 1, 0, -7, -1, -7, 1, -3, 2, 0, 1, -2, 2, -2, -1, 2, 0, -6, -3, -1, 1, -6, 1, 0, -4, 2, -2, -9, 1, 3, 0, 2, -7, 9, -1, -6, -7, 0, 1, 2, -3, 10, 2, 1, 0, -8, 1, 10, -2, -4, 2, 0, -2, -15, -1, 1, 2, -1, 0, -2, -6, -7, -3, 0, -1, 0, 1, -7, -6, -2, 1, -5, 0, -3, -4, 10, 2, 8, -2, 0, -9, 3, 1, 10, 3, -2, 0, 10, 2, -1, -7, -2, 9, 0, -1, -2, -6, 2, -7, 9, 0, -7, 1, -6, 2, -7, -3, 0, 10, -1, 2, -6, 1, -14, 0, -6, -8, 6, 1, 7, 10, 0, -2, -22, -4, -5, 2, 2, 0, 7, -2, -6, -15, -9, -1, 0, 1, 2, 2, 3, -1, -6, 0, -9, -2, 2, -6, 6, -7, 0, -3, 9, 0, -12, -1, -16, 0, -6, 1, 2, -7, -6, -6, 0, -2, 10, 1, -23, -5, 2, 0, 14, -3, 4, -4, 10, 10, 0, 2, -2, 8, 1, -2, -6, 0, 6, -9, -8, 3, 6, 1, 0, 10, 10, 3, -4, -2, -13, 0, -4, 10, 9, 2, -22, -1, 0, -7, -6, -2, 6, 9, -15, 0, -12, -1, 27, -2, 1, -6, 0, 2, -4, -7, -1, 9, 3, 0, -3, -7, -2, 1, 4, -6, 0, 2, -7, -7, -2, -3, 9, 0, 0, 10, 27, -1, 9, 2, 0, -6, 12, 1, -8, -14, -7, 0, -4, -6, -6, -8, -2, 6, 0, 1, -13, 7, -5, 10, -19, 0, -9, -2, -3, -22, -2, -4, 0, -5, 10, 2, 6, 2, 2, 0, 8, 7, 2, -2, 25, -6, 0, -15, -31, -9, 21, -1, 3, 0, 4, 1, 8, 2, 10, 2, 0, 3, 10, -1, -2, -6, -10, 0, -9, -9, 10, -2, 21, 2, 0, -6, -1, 6, 36, -7, -16, 0, -2, -3, 26, 9, 8, 0, 0, -12, 30, -1, -15, -16, -2, 0, -10, -6, -7, 1, 2, 2, 0, -7, 32, -6, 9, -6, 14, 0, -4, -2, -7, 10, -8, 1, 0, -23, -6, -5, 38, 2, 2, 0, -7, 14, 15, -3, 38, 4, 0, -4, 4, 10, 14, 10, -1, 0, 6, 2, 29, -2, -6, 8, 0, 1, 1, -2, -14, -6, 36, 0, -18, 6, -6, -9, -8, -8, 0, 3, 6, 6, 0, 1, -38, 0, 7, 10, 2, 10, -35, 3, 0, -4, -29, -2, 0, -13, -22, 0, -30, -4, -6, 10, -5, 9, 0, 2, 1, -22, 2, -1, -2, 0, -8, -7, 7, -6, -4, -2, 0, 6, -6, 9, 18, -15, -8, 0, -9, -12, -28, -1, 4, 27, 0, -2, 5, 1, -15, -6, 2, 0, 19, 2, -14, -4, 3, -7, 0, -1, 6, 9, -6, 3, 28, 0, -10, -3, -9, -7, -17, -2, 0, 1, 2, 4, -8, -6, 18, 0, 6, 2, 18, -7, 12, -7, 0, -2, -14, -3, 1, 9, 9, 0, -4, 0, -3, 10, -12, 27, 0, -1, -8, 9, -16, 2, -10, 0, -38, -6, -6, 12, -14, 1, 0, -8, 2, -14, 33, -7, 12, 0, -6, -4, 3, -6, -10, -6, 0, -8, -36, -2, 20, 6, 10, 0, -4, 1, 33, -13, -23, 7, 0, -5, 27, 10, 2, -19, 3, 0, -14, -9, 14, -2, 12, -3, 0, -22, 4, -2, 24, -4, -23, 0, 10, -5, 2, 10, -21, 2, 0, 6, 12, 2, 36, 2, -2, 0, -6, 8, 16, 7, 1, 2, 0, -2, 11, 25, -6, -6, -4, 0, 31, -15, 6, -31, 7, -9, 0, 21, -8, -1, -12, 3, -4, 0, 6, 4, -38, 1, -27, 8, 0, 2, 11, 10, 7, 2, 10, 0, 28, 3, -38, 10, -4, -1, 0, -2, -7, -6, -13, -10, 18, 0, 25, -9, -4, -9, 35, 10, 0, -2, 9, 21, -23, 2, 6, 0, -22, -6, 18, -1, 22, 6, 0, 36, 14, -7, 4, -16, -6, 0, -1, -2, -4, -3, 6, 26, 0, 9, -28, 8, -15, 0, -7, 0, -6, -12, -12, 30, 30, -1, 0, -15, 27, -16, 28, -2, -5, 0, 1, -10, -12, -6, 28, -7, 0, 1, -30, 2, -14, 2, -4, 0, 48, -7, 22, 32, -1, -6, 0, 9, 11, -6, 3, 14, 5, 0, 8, -4, -3, -2, -18, -7, 0, 10, -2, -8, -18, 1, -15, 0, 4, -23, 14, -6, 28, -5, 0, 38, 4, 2, 24, 2, -7, 0, 6, -7, 14, 14, -2, 15, 0, -3, 12, 38, 9, 4, 15, 0, -12, -4, 0, 4, -30, 10, 0, 14, 27, 10, -34, -1, -46, 0, 9, 6, -2, 2, -12, 29, 0, -2, 17, -6, 16, 8, 12, 0, 5, 1, 20, 1, -8, -2, 0, -14, 6, -6, -7, 36, 26, 0, 20, -18, -4, 6, 9, -6, 0, -9, -6, -8, -2, -8, -54, 0, -2, 3, -16, 6, -40, 6, 0, 0, 0, 1, -6, -38, -13, 0, 45, 7, -20, 10, -5, 2, 0, 10, 50, -35, -19, 3, 18, 0, 2, -4, -9, -29, 36, -2, 0, 0, -3, -13, -12, -22, 12, 0, -2, -30, 49, -4, -18, -6, 0, 10, 16, -5, 46, 9, 10, 0, 22, 2, 3, 1, 6, -22, 0, 2, 32, -1, 2, -2, 16, 0, 8, -8, 8, -7, -32, 7, 0, -6, 2, -4, 6, -2, -29, 0, 25, 6, 15, -6, 2, 9, 0, 18, -24, -15, -20, -8, -31, 0, -26, -9, -10, -12, 21, -28, 0, -1, 18, 4, 3, 27, 23, 0, -13, -2, 4, 5, 17, 1, 0, -15, 8, -6, 30, 2, 0, 0, 10, 19, 50, 2, -14, -14, 0, -4, -6, 3, 3, -7, 10, 0, -4, -1, -36, 6, -2, 9, 0, -6, 18, 3, -10, 28, -18, 0, 17, -10, -9, -3, -35, -9, 0, -7, 10, -17, -25, -2, 26, 0, 21, 1, -8, 2, 30, 4, 0, -8, -42, -6, -5, 18, -1, 0, -12, 6, -29, 2, 36, 18, 0, -7, 6, 12, -16, -7, -10, 0, -6, -2, -2, -14, -6, -3, 0, 1, 26, 9, 11, 9, 32, 0, 8, -4, 15, 0, 16, -3, 0, 10, 14, -12, 24, 27, 30, 0, 2, -1, -6, -8, -15, 9, 0, -16, 19, 2, -2, -10, 9, 0, -28, -38, -10, -6, -24, -6, 0, 12, -7, -14, -60, 1, 4, 0, 2, -8, -1, 2, -30, -14, 0, 33, 13, -7, 20, 12, 32, 0, 18, -6, -50, -4, 9, 3, 0, -6, -5, -10, 14, -6, -24, 0, -9, -8, -4, -36, 20, -2, 0, 20, -7, 6, 22, 10, 14, 0, -8, -4, -26, 1, -21, 33, 0, -13, 0, -23, -12, 7, -6, 0, 53, -5, 6, 27, 38, 10, 0, 2, -42, -19, 2, 3, 24, 0, -9, -14, -7, -9, 34, 14, 0, -2, 15, 12, 25, -3, -14, 0, 38, -22, 2, 4, 12, -2, 0, 24, -30, -4, 26, -23, 4, 0, -27, 10, -16, -5, 14, 2, 0, 10, 56, -21, -1, 2, -56, 0, -9, 6, 6, 12, -48, 2, 0, 36, 29, 2, 53, -2, -60, 0, -6, -6, 4, 8, -38, 16, 0, 7, 20, 1, -30, 2, 1, 0, 42, -2, -6, 11, -14, 25, 0, -6, -3, -6, 36, -4, -40, 0, 10, 31, -18, -15, 3, 6, 0, -31, -6, 7, -14, -9, 20, 0, -8, 21, -53, -8, -40, -1, 0, -12, -51, 3, -4, -4, 6, 0, 22, 6, -64, 4, 0, -38, 0, 1, -6, -27, -38, 8, 57, 0, 13, 2, 7, 11, 17, 10, 0, 7, 2, 2, -20, 10, 2, 0, -35, 28, -4, 3, -42, -38, 0, 10, 36, -4, 1, -1, -29, 0, 39, -2, 42, -7, 0, -6, 0, -13, -16, -10, -22, 18, -30, 0, -27, 25, -30, -9, -16, -4, 0, -9, -6, 35, -9, 10, 9, 0, -5, -2, 42, 9, 42, 21, 0, -23, 22, 2, -33, 6, 1, 0, -66, -22, -27, -6, 2, 18, 0, -1, -40, 22, -2, 6, 8, 0, 20, 36, -8, 14, -6, -7, 0, 4, 7, -16, 21, -6, 32, 0, -4, -1, -6, -2, 4, -4, 0, -3, 46, 6, -2, 26, -6, 0, 6, 9, -20, -28, 18, 8, 0, -15, -7, 0, -8, -7, 11, 0, -46, -6, -9, -12, 56, -12, 0, 30, -28, 30, 22, -1, 21, 0, 4, -15, 13, 27, -17, -16, 0, 28, 44, -2, -58, -5, 5, 0, 42, 1, -4, -10, -15, -12, 0, -6, 19, 28, 2, -7, -20, 0, 13, 1, 19, -30, -36, 2, 0, -14, -14, 2, -62, -4, 60, 0, 3, 48, -60, -7, -41, 22, 0, 32, -39, -1, 2, -6, 6, 0, 44, 9, -30, 11, -6, -6, 0, 3, 18, 14, 28, 5, -18, 0, 0, 8, -10, -4, -4, -3, 0, -2, -9, -18, -4, -7, 24, 0, -17, 10, 42, -2, 14, -8, 0, -18, -2, 1, 63, -15, 2, 0, 10, 4, 23, -23, -8, 14, 0, -6, 58, 28, 18, -5, 6, 0, -2, 38, 6, 4, 26, 2, 0, 24, 18, 2, -25, -7, 5, 0, 12, 6, -12, -7, 4, 14, 0, 14, -2, -2, 34, 15, -14, 0, -62, -3, 31, 12, 1, 38, 0, 9, 12, 4, 9, 15, -21, 0, 16, -12, -4, -4, -32, 0, 0, 4, -3, -30, -10, 10, 38, 0, -12, 14, -21, 27, -4, 10, 0, -34, 27, -1, -4, -46, -8, 0, -18, 9, -10, 6, -16, -2, 0, 2, -8, -12, -10, 29, 11, 0, 66, -2, -38, 17, 63, -6, 0, 16, -6, 8, -10, 12, 14, 0, -14, 5, -10, 1, 47, 20, 0, 1, 15, -8, 48, -2, 2, 0, -27, -14, -68, 6, 33, -6, 0, -7, -40, 36, 12, 26, 10, 0, -37, 20, -6, -18, 9, -4, 0, 6, 3, 9, 0, -6, -46, 0, -10, -9, 72, -6, 62, -8, 0, -2, 14, -8, -21, -54, -36, 0, 29, -2, -63, 3, 20, -16, 0, 6, 20, -40, 10, 6, 22, 0, 74, 0, -4, 0, 18, 1, 0, -6, 33, -38, 51, -13, -36, 0, -23, 45, 12, 7, -16, -20, 0, 10, 16, -5, -32, 2, 27, 0, 16, 10, -79, 50, 2, -35, 0, -19, -21, 3, 3, 18, -12, 0, -26, 2, -14, -4, 42, -9, 0, -29, 14, 36, 32, -2, -21, 0, 12, 0, 12, -3, -8, -13, 0, -12, -35, -22, 22, 12, 4, 0, -6, -2, -30, -30, 24, 49, 0, -4, -22, -18, -23, -6, 15, 0, 28, 10, 10, 16, 60, -5, 0, 46, 2, 9, -15, 10, 6, 0, -21, 22, -28, 2, -40, 3, 0, 1, -63, 6, 33, -22, 12, 0, 7, 2, 18, 32, 36, -1, 0, 2, -10, -2, -2, 16, -68, 0, -7, 8, -6, -8, 20, 8, 0, -7, 16, -32, 27, 7, -70, 0, 1, -6, -32, 2, 50, -4, 0, 6, 20, -2, -59, -29, 11, 0, 13, 25, 55, 6, -6, 15, 0, -6, -14, 2, -4, 9, -28, 0, 42, 18, 31, -24, 4, -15, 0, -20, 6, -8, -18, -31, -18, 0, 7, -26, 53, -9, -1, -10, 0, -12, -6, 21, 8, -28, -8, 0, 20, -1, 20, 18, -12, 4, 0, 3, -12, 27, -4, 23, 52, 0, -60, -13, 6, -2, 44, 4, 0, 5, -38, 17, -70, 1, -38, 0, -27, -15, 35, 8, 28, -6, 0, 30, -2, 2, 16, 0, 11, 0, 18, 10, 10, 19, 7, 50, 0, 2, 36, -14, 10, -14, 74, 0, 60, -4, 28, -6, -12, 3, 0, 3, -38, -7, -38, 10, -62, 0, -4, -4, 48, -1, -62, -36, 0, 6, -39, -2, -41, 9, -7, 0, 3, -6, -4, 18, -13, 3, 0, -10, 18, 28, 18, -18, -14, 0, -18, 17, 25, -10, 36, -9, 0, -3, -4, -35, 67, -9, -18, 0, 35, -7, 6, 10, -6, -17, 0, -25, -24, -2, 12, 26, 9, 0, -29, 21, 0, 1, -23, -8, 0, 2, -64, 30, 6, 4, -4, 0, 56, -8, -22, -42, 82, -6, 0, -5, 18, 18, -30, -1, 20, 0, 22, -12, 4, 6, -70, -29, 0, 2, -50, 36, 66, 18, 14, 0, -10, -7, -86, 6, 4, 12, 0, -16, -36, -7, -6, -10, 77, 0, -30, -6, -1, -2, 18, -2, 0, -14, -4, -6, -50, -3, -67, 0, 6, 1, -70, 26, -4, 9, 0, 11, 69, 9, 18, 32, -28, 0, -54, 8, -34, -4, -15, 15, 0, 0, -42, 16, -7, -3, -5, 0, 80, 10, -6, 14, 20, -12, 0, 24, -12, 27, -24, 30, 0, 0, 30, 2, -14, -1, 47, -6, 0, -8, 38, -15, -42, 9, 27, 0, 12, -16, -18, 19, 28, 2, 0, -2, 24, -10, -5, 9, -18, 0, -2, -28, 1, -38, -12, -10, 0, -6, -12, -24, 35, -6, 44, 0, 28, 12, 56, -7, 20, -14, 0, -60, -54, 1, -11, 4, -30, 0, 33, 2, 29, -8, -14, -1, 0, 2, -28, -30, -4, -14, 0, 0, -14, 33, 48, 13, -5, -7, 0, 20, 22, 12, -9, 32, 48, 0, -1, 18, 12, -6, 30, -50, 0, -4, -12, 9, 40, 3, 11, 0, 6, -6, 12, -5, 3, -10, 0, 14, -70, -6, 5, -24, 76, 0, -80, -9, 8, -8, 42, -4, 0, -36, -3, 20, 54, -2, -5, 0, -18, 20, -1, -7, 29, 6, 0, 22, 105, 10, -68, 14, -2, 0, -60, -8, -4, -4, -18, -26, 0, 1, 2, -21, -15, 33, 51, 0, -57, -13, 4, 0, 8, -23, 0, -12, 14, 7, -18, -6, 10, 0, 28, 53, 24, -5, -12, 6, 0, 27, -49, 38, 4, 10, 4, 0, -31, 2, -38, -42, 24, -19, 0, 2, -8, 3, -7, 24, -54, 0, 32, -9, 6, -14, 21, -7, 0, -9, 14, 34, -28, 14, -18, 0, -2, -2, 8, 15, -74, 12, 0, 25, 18, -3, -41, -14, 12, 0, -14, 38, 61, -22, 9, 2, 0, 4, -40, 12, 15, -2, 86, 0, 28, 24, -12, -30, 0, -4, 0, 26, 0, -23, -4, 4, 7, 0, -30, -27, -77, 10, -14, -16, 0, -5, -58, 14, 18, 2, 27, 0, -48, 10, 20, 56, -34, -21, 0, -1, 12, 2, -46, -56, 15, 0, 62, -9, 9, 6, 24, 6, 0, 12, -2, -48, -84, 2, 105, 0, -12, 36, 39, 29, -19, 2, 0, 53, 44, -2, 3, -60, 17, 0, 14, -6, 68, -6, 16, 4, 0, 8, -53, -38, 12, 16, 42, 0, -20, 7, 5, 20, -20, 1, 0, -30, 20, 2, -14, 1, 54, 0, -8, 42, -6, -2, -27, -6, 0, 11, -12, -14, -72, 25, 6, 0, 10, -6, 46, -3, -7, -6, 0, 36, -28, -4, 26, -40, 66, 0, 55, 10, 20, 31, -40, -18, 0, -15, -4, 3, -63, 6, -44, 0, 9, -31, -54, -6, -24, 7, 0, -14, 50, -9, 17, 20, -6, 0, -57, -8, 44, 21, -2, -53, 0, -8, -48, -40, -54, -1, -28, 0, 18, -12, -2, -51, -10, 3, 0, -4, -16, -4, 7, 6, -32, 0, -40, 22, 0, 6, 0, -64, 0, 4, -18, 0, -8, -38, 0, 0, 32, 1, 15, -6, -6, -27, 0, -38, 10, 8, -13, 57, -12, 0, -18, 13, 45, 2, -58, 7, 0, 11, -20, 17, -12, 10, 98, 0, -5, 7, -62, 2, 36, 2, 0, -20, 16, 10, 36, 2, 50, 0, 6, -35, 14, 28, -19, -4, 0, 3, -28, -42, 18, -38, -1, 0, -52, 10, 2, 36, -81, -4, 0, 1, -9, -1, 72, -29, -12, 0, 36, 39, -94, -2, 4, 42, 0, -7, -12, 0, 40, -6, -3, 0, -12, -13, 22, -16, -12, -10, 0, -22, -66, 18, 12, -30, -42, 0, -9, -27, -2, 25, -26, -30, 0, -9, 49, -16, 23, -4, -20, 0, -18, -9, 8, -6, -98, 35, 0, -9, -80, 10, -79, 9, 16, 0, 12, -5, -83, -2, 46, 42, 0, 9, -40, 42, 10, 21, 42, 0, -90, -23, 22, 22, 38, 2, 0, -33, 3, 6, 67, 1, -12, 0, 6, -66, 20, -22, -28, -27, 0, -6, 84, 2, 14, 18, 32, 0, 0, -1, -9, -40, 2, 22, 0, -2, 72, 6, 16, 8, 4, 0, -54, 20, 8, 36, -36, -8, 0, 14, 8, -6, -2, -7, -33, 0, -32, 4, -29, 7, 35, -16, 0, 21, -12, -6, 62, 32, 2, 0, 20, -4, 38, -1, 6, -6, 0, -2, 28, 4, -29, -4, 35, 0, -3, -3, 25, 46, -75, 6, 0, -2, 15, 26, -40, -6, -12, 0, 2, 6, -44, 9, -35, -20, 0, -28, 87, 18, -12, 8, -24, 0, -57, -15, 36, -7, -20, 0, 0, -8, -78, -7, -31, 11, -20, 0, -42, -46, -26, -6, -45, -9, 0, -12, -10, 56, 36, -12, -10, 0, 21, 30, -18, -28, 9, 30, 0, 22, -26, -1, -60, 21, 18, 0, -33, 4, 64, -15, 3, 13, 0, 27, 6, -17, 23, -16, -8, 0, 26, 28, -13, 44, 54, -2, 0, -58, 4, -5, 69, 5, -16, 0, 17, 42, -27, 1, -80, -4, 0, -10, -7, -15, 30, -12, 8, 0, -12, -6, -70, 19, 30, 28, 0, 2, -3, -7, 0, -20, 33, 0, 12, 13, 10, 1, 14, 19, 0, -30, 50, -36, -18, 2, -50, 0, -14, -14, 90, -14, -81, 2, 0, -62, 27, -4, -12, 60, -6, 0, 6, 3, 36, 48, 3, -60, 0, -7, 44, -41, 10, 22, -27, 0, -12, 32, -4, -39, -56, -1, 0, 2, -36, -6, 20, 6, -24, 0, -2, 44, 36, 9], "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], [23, -1]], "char_values": [6762, 1, [2255, 3727, 3823], [1, 1, 1]], "Nk2": 27048, "field_poly_root_of_unity": 0, "analytic_rank": 1, "char_orbit_label": "a", "weight": 2, "trace_display": [1, 1, -1, 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^{5}+q^{6}+q^{8}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [1, 1]], [11, [3, 1]], [13, [2, 1]], [17, [-2, 1]]], "space_label": "6762.2.a", "level": 6762, "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": 148618787736787562, "fricke_eigenval": 1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.046", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "2.100", "prec": 17}, {"__RealLiteral__": 0, "data": "0.124", "prec": 17}, {"__RealLiteral__": 0, "data": "5.213", "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], [-1], [1], [0], [1], [1], [-1], [-3], [1], [-2], [0], [-1], [1], [2], [1], [2], [-1], [0], [-3], [1], [1], [-4], [-2], [1], [0], [-7], [-1], [-7], [1], [-3], [2], [0], [1], [-2], [2], [-2], [-1], [2], [0], [-6], [-3], [-1], [1], [-6], [1], [0], [-4], [2], [-2], [-9], [1], [3], [0], [2], [-7], [9], [-1], [-6], [-7], [0], [1], [2], [-3], [10], [2], [1], [0], [-8], [1], [10], [-2], [-4], [2], [0], [-2], [-15], [-1], [1], [2], [-1], [0], [-2], [-6], [-7], [-3], [0], [-1], [0], [1], [-7], [-6], [-2], [1], [-5], [0], [-3], [-4]]}