# Stored data for newform 9702.2.a.u, downloaded from the LMFDB on 29 May 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": 954693083002489997, "level_radical": 462, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/9702/u"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 21, "analytic_conductor": 77.47086004104622, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "9702.2.a.u", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "9702.2.a.d", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, "traces": [0, 1, -1, 0, 1, 2, 0, 0, -1, 0, -2, -1, 0, 2, 0, 0, 1, 6, 0, 4, 2, 0, 1, -6, 0, -1, -2, 0, 0, -6, 0, -2, -1, 0, -6, 0, 0, 2, -4, 0, -2, 10, 0, -6, -1, 0, 6, 0, 0, 0, 1, 0, 2, 2, 0, -2, 0, 0, 6, -4, 0, 14, 2, 0, 1, 4, 0, 12, 6, 0, 0, 2, 0, 6, -2, 0, 4, 0, 0, 0, 2, 0, -10, 6, 0, 12, 6, 0, 1, 6, 0, 0, -6, 0, 0, 8, 0, 0, 0, 0, -1, -12, 0, -6, -2, 0, -2, -12, 0, 8, 2, 0, 0, 4, 0, -12, -6, 0, 4, 0, 0, 1, -14, 0, -2, -12, 0, -8, -1, 0, -4, 14, 0, 0, -12, 0, -6, 8, 0, -20, 0, 0, -2, -2, 0, -12, -6, 0, 2, -10, 0, 20, -4, 0, 0, -4, 0, 22, 0, 0, -2, 0, 0, 24, 10, 0, -6, 12, 0, -9, -12, 0, -6, 0, 0, 0, -1, 0, -6, 0, 0, 18, 0, 0, 6, 4, 0, -6, 0, 0, -8, -6, 0, 22, 0, 0, 0, -6, 0, -2, 1, 0, 12, 0, 0, 20, 6, 0, 2, -4, 0, -10, 2, 0, 12, -12, 0, 0, -8, 0, -2, 12, 0, 2, 0, 0, -4, -18, 0, 18, 12, 0, 6, -14, 0, 0, -4, 0, 0, -20, 0, 2, -1, 0, 14, 0, 0, 8, 2, 0, 12, 0, 0, 6, 8, 0, 1, -22, 0, 0, 4, 0, -14, 20, 0, 4, 0, 0, 12, 30, 0, 16, 6, 0, -8, 1, 0, 4, 20, 0, 0, -14, 0, 28, 2, 0, 2, 0, 0, 19, 12, 0, 6, -16, 0, -8, -2, 0, 10, -12, 0, 0, -20, 0, 4, 28, 0, -4, 0, 0, 4, 8, 0, -28, -22, 0, 0, -6, 0, 6, 2, 0, 0, 24, 0, -2, -24, 0, -10, 0, 0, 12, 6, 0, -12, 24, 0, -14, 9, 0, 12, 2, 0, 0, 6, 0, 0, 4, 0, -2, 0, 0, 1, 6, 0, 4, 6, 0, 0, 4, 0, -3, -18, 0, 0, 12, 0, 10, -6, 0, -4, 0, 0, 12, 6, 0, 0, -12, 0, -8, 8, 0, 6, 24, 0, 0, -22, 0, 0, 2, 0, -36, 0, 0, 6, 0, 0, 22, 2, 0, -1, 24, 0, -4, -12, 0, 0, -2, 0, -26, -20, 0, -6, 0, 0, 12, -2, 0, 4, -36, 0, -10, 10, 0, -2, -6, 0, 0, -12, 0, 12, -12, 0, 16, 0, 0, 8, -24, 0, -4, 2, 0, -12, -36, 0, 12, -2, 0, 0, 12, 0, -10, 4, 0, 18, 0, 0, 18, -18, 0, -12, -12, 0, 16, -6, 0, 14, -20, 0, 0, 0, 0, 4, 6, 0, -4, 0, 0, 20, 12, 0, 4, -2, 0, 1, 0, 0, 8, -14, 0, 0, 20, 0, -36, -8, 0, -2, 0, 0, 8, -12, 0, 0, -28, 0, -24, -6, 0, -8, 6, 0, 0, -1, 0, 22, -12, 0, 0, 0, 0, -4, -14, 0, -4, 14, 0, -20, -12, 0, 13, -4, 0, 0, 20, 0, -24, -12, 0, -30, 0, 0, 40, -16, 0, -6, 16, 0, -38, 8, 0, -1, -24, 0, 0, -4, 0, -20, 14, 0, -12, 0, 0, 14, 10, 0, 8, -28, 0, -2, -34, 0, -14, -2, 0, 0, 6, 0, 28, -19, 0, -12, 0, 0, -2, -6, 0, 16, -12, 0, -8, 8, 0, 2, 34, 0, 0, -10, 0, 12, 14, 0, 22, 0, 0, 20, 2, 0, -28, -4, 0, -28, 0, 0, 0, 4, 0, 0, -36, 0, 40, -4, 0, -8, 0, 0, -19, 28, 0, 22, 12, 0, 32, 0, 0, 6, -16, 0, 0, -6, 0, -2, 12, 0, -4, 0, 0, -24, 8, 0, 4, 2, 0, 24, 42, 0, 28, 10, 0, 0, 12, 0, -30, -12, 0, -6, 0, 0, 36, 12, 0, -24, -14, 0, -6, 14, 0, -9, 0, 0, 0, -12, 0, -2, 32, 0, 16, 0, 0, -6, 4, 0, -4, 0, 0, -4, -40, 0, 60, 2, 0, 0, -2, 0, 8, -1, 0, -6, 0, 0, -26, -4, 0, -6, 12, 0, -4, 0, 0, -4, 40, 0, 0, 3, 0, 18, 6, 0, 42, 0, 0, -12, -36, 0, 18, -10, 0, 6, -12, 0, -34, 4, 0, 0, 48, 0, -20, -12, 0, -6, 0, 0, 24, 0, 0, 12, 40, 0, -30, 8, 0, -8, 10, 0, 0, -6, 0, -24, -8, 0, 50, 0, 0, 22, 34, 0, 2, 0, 0, -2, 40, 0, -2, 36, 0, 0, 44, 0, -52, -6, 0, 0, 0, 0, 28, -22, 0, -2, 6, 0, 0, 1, 0, -24, -6, 0, 0, 4, 0, 12, 10, 0, 28, 0, 0, 2, 48, 0, -24, 26, 0, 20, 30, 0, 16, 6, 0, 0, 36, 0, 14, -12, 0, 2, 0, 0, 24, -4, 0, 36, 24, 0, 7, 10, 0, -10, -18, 0, 0, 2, 0, 6, -12, 0, -42, 0, 0, 12, -30, 0, -40, -12, 0, 12, -2, 0, 0, -16, 0, 0, 0, 0, 24, -8, 0, 24, 0, 0, 28, 4, 0, -2, 30, 0, -16, 12, 0, 36, -44, 0, 0, -12, 0, 2, 0, 0, 0, 0, 0, -12, 12, 0, 12, 10, 0, -4, 36, 0, 16, -18, 0, 0, 38, 0, -6, -18, 0, 18, 0, 0, -20, 12, 0, 12, 4, 0, -2, -16, 0, 6, 34, 0, 0, -14, 0, 20, -12, 0, -38, 0, 0, 0, 0, 0, -60, -4, 0, -6, -24, 0, 12, 4, 0, 0, 26, 0, -12, -20, 0, -12, 0, 0, -27, -4, 0, 2, 44, 0, 20, -1, 0, 0, 24, 0, 0, -8, 0, 14, 56, 0, -6, 0, 0, -20, -32, 0, -12, 36, 0, 8, 36, 0, -40, 2, 0, 0, -4, 0, 14, -8, 0, 12, 0, 0, -24, 0, 0, 28, 8, 0, -46, 24, 0, 6, -46, 0, 0, 8, 0, -6, -28, 0, -34, 0, 0, 1, -10, 0, 0, -22, 0, 12, -48, 0, -14, 0, 0, 0, 84, 0, 38, 4, 0, 14, 0, 0, -8, 4, 0, -14, 6, 0, 50, 20, 0, 12, -20, 0, 0, -13, 0, 4, 26, 0, -20, 0, 0, -20, 0, 0, 50, 24, 0, 12, -12, 0, 6, 30, 0, 0, 12, 0, 0, -40, 0, 16, 0, 0, -8, 6, 0, -16, -42, 0, 66, 38, 0, -8, 34, 0, 0, 1, 0, 24, -38, 0, 24, 0, 0, 4, -46, 0, 12, 20, 0, -14, 4, 0, 4, 12, 0, 0, -16, 0, 40, -14, 0, -10, 0, 0, -26, -8, 0, 28, 6, 0, -36, 2, 0, 34, 72, 0, 0, 14, 0, 2, 36, 0, -4, 0, 0, -6, 8, 0, 12, -28, 0, 19, 12, 0, 56, 12, 0, 0, -60, 0, -28, 2, 0, 6, 0, 0, -16, -16, 0, 12, 0, 0, 12, 8, 0, -8, -26, 0, 0, -2, 0, -34, 20, 0, -60, 0, 0, 10, -6, 0, -40, -12, 0, -14, -8, 0, -58, -22, 0, 0, 4, 0, 12, -20, 0, -2, 0, 0, -18, 28, 0, 4, -50, 0, -12, 28, 0, 0, 20, 0, 0, 0, 0, -4, 46, 0, -28, 0, 0, 36, 16, 0, 46, -40, 0, 4, 36, 0, -4, 8, 0, 0, 36, 0, -66, 19, 0, -28, 0, 0, 0, -22, 0, -12, 12, 0, 0, -32, 0, 0, 12, 0, 0, -6, 0, 16, -20, 0, 48, 0, 0, 6, -18, 0, -46, 2, 0, -12, 4, 0, -44, 4, 0, 0, -54, 0, 36, 24, 0, -8, 0, 0, -14, -4, 0, -2, -18, 0, 8, -24, 0, -42, 24, 0, 0, -28, 0, -10, -24, 0, 40, 0, 0, -12, -40, 0, -28, 30, 0, 12, -2, 0, -4, 6, 0, 0, -1, 0, 12, -36, 0, -12, 0, 0, -12, 24, 0, 14, 0, 0, 60, 6, 0, -14, 8, 0, 0, 9, 0, 0, 32, 0, 24, 0, 0, 12, -18, 0, 0, 2, 0, -32, 18, 0, -33, -16, 0, 0, 26, 0, 12, 6, 0, -4, 0, 0, -36, 4, 0, 0, 8, 0, 24, 4, 0, 40, -24, 0, 0, -60, 0, -2, 8, 0, 0, 0, 0, 2, -84, 0, -28, -8, 0, 1, 40, 0, 36, 6, 0, 0, 56, 0, 16, 26, 0, 4, 0, 0, -56, 6, 0, -12, -6, 0, -44, 4, 0, 0, -54, 0, 0, 4, 0, -40, -38, 0, -14, 0, 0, -3, 38, 0, 68, -18, 0, -6, -28, 0, 50, -42, 0, 0, 0, 0, -76, 12, 0, 36, 0, 0, -32, -18, 0, 10, 8, 0, 40, -6, 0, 12, 4, 0, 0, 34, 0, -4, 18, 0, -24, 0, 0, -48, 68, 0, 8, 20, 0, 12, 18, 0, -24, 6, 0, 0, 44, 0, 0, -24, 0, 0, 0, 0, -8, -12, 0, -40, 0, 0, 36, 30, 0, -8, 20, 0, 0, 8, 0, -10, -40, 0, -14, 0, 0, 6, 20, 0, 20, 24, 0, 8, -8, 0, -12, -50, 0, 0, -72, 0, -38, -22, 0, -34, 0, 0, 26, -2, 0, 0, 14, 0, 16, 2, 0, -40, 40, 0, 0, 2, 0, -36, -56, 0, 38, 0, 0, -44, 60, 0, 2, 52, 0, 6, 24, 0, 66, 0, 0, 0, 44, 0, -12, -28, 0, 22, 0, 0, -12, 2, 0, -6, 12, 0, -4, 0, 0, -1, 18, 0, 0, 24, 0, 6, 62, 0, 64, 0, 0, -4, 80, 0, 48, -12, 0, -10, -76, 0, -38, -28, 0, 0, -24, 0, 12, -2, 0, -48, 0, 0, -12, 24, 0, -26, -42, 0, 10, -20, 0, -30, -4, 0, 0, -16, 0, -6, 0, 0, -16, 0, 0, -36, 24, 0, -2, -14, 0, 12, -20, 0, -68, -2, 0, 0, 60, 0, -42, -24, 0, 4, 0, 0, -12, -36, 0, -24, -36, 0, 59, -7, 0, -10, -28, 0, 0, 10, 0, 18, 24, 0, -10, 0, 0, -2, -18, 0, 56, -6, 0, 12, 28, 0, 4, 42, 0, 0, 54, 0, 24, -12, 0, 30, 0, 0, -72, 40, 0, 12, -6, 0, -26, -12, 0, 2, -22, 0, 0, 0, 0, 16, -6, 0, 8, 0, 0, 0, 0, 0, -10, -24, 0, 8, -4, 0, -68, -24, 0, 0, -36, 0, 68, -28, 0, -4, 0, 0, -20, 2, 0, -30, -60, 0, 12, 16, 0, -12, -84, 0, 0, -36, 0, 44, -2, 0, 14, 0, 0, 12, 16, 0, 34, -2, 0, 0, -32, 0, -48, 0, 0, 0, -24, 0, 8, 12, 0, -12, 0, 0, 26, -12, 0, -10, -6, 0, -40, 4, 0, -36, -34, 0, 0, -16, 0, 18, 0, 0, -72, 0, 0, -38, -36, 0, -6, 6, 0, 18, 8, 0, -80, -18, 0, 0, 20, 0, -12, 20, 0, -12, 0, 0, 0, -12, 0, -4, 20, 0, -7, 2, 0, 16, 48, 0, 0, -6, 0, -34, 9, 0, 14, 0, 0, 14, 24, 0, -12, -20, 0, 12, -78, 0, -62, 38, 0, 0, 42, 0, -26, 0, 0, 0, 0, 0, -24, 60, 0, 4, -18, 0, -28, 6, 0, 24, -16, 0, 0, -12, 0, -4, 86, 0, 0, 0, 0, -26, 40, 0, -36, 12, 0, 20, 18, 0, 48, 12, 0, 0, -48, 0, 24, 27, 0, 4, 0, 0, 0, -2, 0, -44, 14, 0, 60, -20, 0, 1, -20, 0, 0, 0, 0, -24, -72, 0, 4, 0, 0, 8, -44, 0, -18, -14, 0, -56, -72, 0, -24, 6, 0, 0, 4, 0, 40, 20, 0, 32, 0, 0, 0, 12, 0, -36, 30, 0, 0, -8, 0, -36, -62, 0, 0, 40, 0, -2, 44, 0, 12, 0, 0, 4, -18, 0, 2, -14, 0, 8, 38, 0, 4, -12, 0, 0, -72, 0, 48, 24, 0, 0, 0, 0, -40, -28, 0, -8, -8, 0, 34, 46, 0, -24, 0, 0, 0, -6, 0, 46, -32, 0, -82, 0, 0, -8, -48, 0, -4, 6, 0, 28, 66, 0, 44, 34, 0, 0, -52, 0, -36, -1, 0, 10, 0, 0, 68, 0, 0, 22, 6, 0, -12, -12, 0, 48, -24, 0, 0, 14, 0, 0, 6, 0, 32, 0, 0, -84, -6, 0, -24, -38, 0, -4, -62, 0, -8, -14, 0, 0, -48, 0, 46, 8, 0, -4, 0, 0, -72, 14, 0, -6, 48, 0, 6, -50, 0, -20, -20, 0, 0, -12, 0, 20, 32, 0, 44, 0, 0, 13, -36, 0, 48, -4, 0, -26, -22, 0, -72, 20, 0, 0, -50, 0, 36, 20, 0, 0, 0, 0, 42, -50, 0, -24, -72, 0, -56, -12, 0, 12, 16, 0, 0, -6, 0, -30, 6, 0, -24, 0, 0, -12, -48, 0, -36, 0, 0, 40, 32, 0, 6, -16, 0, 0, 24, 0, 20, 8, 0, -6, 0, 0, -48, 16, 0, 42, -8, 0, -48, -66, 0, -38, 2, 0, 0, 8, 0, -34, -8, 0, -44, 0, 0, -1, -4, 0, 80, -24, 0, 38, 16, 0, -47, -24, 0, 0, -58, 0, -72, -4, 0, 46, 0, 0, -60, -12, 0, -20, -6, 0, 84, 14, 0, -4, 0, 0, 0, -4, 0, -12, 26, 0, -44, 0, 0, 16, 46, 0, 24, -40, 0, 14, 0, 0, -66, 10, 0, 0, -20, 0, 28, 26, 0, 8, 0, 0, -12, -28, 0, -6, -84, 0, -90, 36, 0, -2, 70, 0, 0, -34, 0, -72, -12, 0, 64, 0, 0, -14, 36, 0, -44, -2, 0, -36, 0, 0, -22, 4, 0, 0, -12, 0, 4, 6, 0, -8, 0, 0, -24, -12, 0, 28, 0, 0, 48, -19, 0, -12, 32, 0, 0, -56, 0, -12, 10, 0, 72, 0, 0, 60, 0, 0, 48, 28, 0, -2, -42, 0, -40, -6, 0, 0, 68, 0, 26, 16, 0, 16, 0, 0, -56, -12, 0, 0, 76, 0, 36, -12, 0, -8, -38, 0, 0, 8, 0, 26, -120, 0, 12, 0, 0, 2, 36, 0, -20, 34, 0, -20, -48, 0, -38, 60, 0, 0, 2, 0, 84, -10, 0, 6, 0, 0, -96, 40, 0, 12, 82, 0, 24, 14, 0, 8, 48, 0, 0, 58, 0, 22, 8, 0, -36, 0, 0, -4, -10, 0, -32, -12, 0, 20, -70, 0, -40, 2, 0, 0, 6, 0, 0, 18, 0, -28, 0, 0, -12, -4, 0, 50, 16, 0, 32, 12, 0, -28, 6, 0, 0, 0, 0, -20, 14, 0, 0, 0, 0, 0, -2, 0, 40, 4, 0, -46, -36, 0, 72, 28, 0, 0, -72, 0, -52, -36, 0, -16, 0, 0, 70, -46, 0, 40, -80, 0, 24, -4, 0, -36, -12, 0, 0, 4, 0, -8, 56, 0, 0, 0, 0, -36, 16, 0, 18, 66, 0, -19, 140, 0, -40, 28, 0, 0, -48, 0, 44, 0, 0, 22, 0, 0, -56, 12, 0, -12, -18, 0, -50, 0, 0, 32, 12, 0, 0, 0, 0, -12, -16, 0, -60, 0, 0, 6, 24, 0, -44, -16, 0, 20, -48, 0, 12, -48, 0, 0, -86, 0, 16, -6, 0, 18, 0, 0, -34, 46, 0, -2, -12, 0, 14, 12, 0, -4, 120, 0, 0, 44, 0, -4, -12, 0, 6, 0, 0, 54, -88, 0, -36, -36, 0, -24, 0, 0, -4, 8, 0, 0, 24, 0, 70, 14, 0, 4, 0, 0, -24, 2, 0, 18, 32, 0, -28, -8, 0, 24, -34, 0, 0, 42, 0, -24, -8, 0, -86, 0, 0, 28, -58, 0, -84, 10, 0, 24, 4, 0, 20, -40, 0, 0, 12, 0, -24, 12, 0, 40, 0, 0, -80, 28, 0, -30, 26, 0, -48, -12, 0, 2, -2, 0, 0, 4, 0, -6, 42, 0, -20, 0, 0, 1, -32, 0, 40, -12, 0, 36, 132, 0, -80, 12, 0, 0, 12, 0, -58, 12, 0, -24, 0, 0, 50, -14, 0, 0, 96, 0, 50, -60, 0, -6, 54, 0, 0, 14, 0, -8, -76, 0, 12, 0, 0, -9, 80, 0, 20, 0, 0, -32, -78, 0, 22, -24, 0, 0, -8, 0, -56, -12, 0, 18, 0, 0, -8, 0, 0, -2, -54, 0, 52, 32, 0, -18, -76, 0, 0, 33, 0, 16, 22, 0, -20, 0, 0, -26, 120, 0, 30, -12, 0, -6, 80, 0, -48, 4, 0, 0, -12, 0, 0, 36, 0, -4, 0, 0, 48, 0, 0, -8, 144, 0, 0, -24, 0, -4, 26, 0, 0, -40, 0, 24, -6, 0, 28, 0, 0, 60, 0, 0, 60, 2, 0, -8, -24, 0, -10, 0, 0, 0, -10, 0, -68, -2, 0, 84, 0, 0, -49, 28, 0, 8, 0, 0, 20, -1, 0, -40, -80, 0, 0, -36, 0, -6, -4, 0, 22, 0, 0, -56, -40, 0, -6, -16, 0, -26, -18, 0, 72, -4, 0, 0, -48, 0, -68, 56, 0, -6, 0, 0, 66, 12, 0, 6, -28, 0, -22, 44, 0, -4, -30, 0, 0, 0, 0, 54, 0, 0, 80, 0, 0, -4, -54, 0, 72, 40, 0, 38, -64, 0, -72, 14, 0, 0, 56, 0, -98, 3, 0, -38, 0, 0, -20, -68, 0, 18, 62, 0, 4, 6, 0, 28, 8, 0, 0, -50, 0, 42, -6, 0, 20, 0, 0, 0, -4, 0, -58, 76, 0, -12, 48, 0, 0, -36, 0, 0, -62, 0, 72, 32, 0, 18, 0, 0, -24, -10, 0, -8, 90, 0, 0, -40, 0, 6, -16, 0, 0, -12, 0, -4, -36, 0, -44, 0, 0, -34, -30, 0, -30, 4, 0, -18, -60, 0, 68, 24, 0, 0, -78, 0, -20, 48, 0, -68, 0, 0, 36, -8, 0, -20, -16, 0, 88, -12, 0, -18, 36, 0, 0, 24, 0, -6, 60, 0, 28, 0, 0, -44, -20, 0, -76, 0, 0, 24, 44, 0, 0, 0, 0, 0, -108, 0, -84, 8, 0, 12, 0, 0, -92, 40, 0, 0, -48, 0, -1, -36, 0, -30, -28, 0, 0, 8, 0, -20, -56, 0, -70, 0, 0, -8, 70, 0, 0, 10, 0, 40, -4, 0, -14, 14, 0, 0, -12, 0, 0, -6, 0, -20, 0, 0, -2, -20, 0, -24, 0, 0, -16, -8, 0, 8, 12, 0, 0, 12, 0, 50, 108, 0, 72, 0, 0, 72, -24, 0, -72, 38, 0, 22, 20, 0, 14, 34, 0, 0, 80, 0, 96, -26, 0, 2, 0, 0, 72, 0, 0, -14, -40, 0, -36, -16, 0, -2, -28, 0, 0, 40, 0, -40, -72, 0, -90, 0, 0, -2, 22, 0, -8, 36, 0, 56, 24, 0, 4, -38, 0, 0, -90, 0, -36, 44, 0, -60, 0, 0, 24, -2, 0, -52, 0, 0, -48, -6, 0, -24, 64, 0, 0, -66, 0, 0, -48, 0, -4, 0, 0, -44, -44, 0, -16, 12, 0, 28, 48, 0, 8, -22, 0, 0, -19, 0, -82, 12, 0, -2, 0, 0, 46, 6, 0, -12, -56, 0, 12, 4, 0, 0, 120, 0, 0, 1, 0, -18, 36, 0, 24, 0, 0, -24, 38, 0, -36, -6, 0, -62, -8, 0, 26, -64, 0, 0, 102, 0, 16, 4, 0, -80, 0, 0, 40, -48, 0, 12, 28, 0, 16, 10, 0, 76, 0, 0, 0, 38, 0, 28, 8, 0, -36, 0, 0, 24, -42, 0, 58, -12, 0, 2, -92, 0, 12, 48, 0, 0, 0, 0, 84, 12, 0, -24, 0, 0, -40, 26, 0, 42, -14, 0, -24, -10, 0, 20, 132, 0, 0, 30, 0, 4, 0, 0, 12, 0, 0, 16, 12, 0, 24, 6, 0, 0, 12, 0, 22, 16, 0, 0, -60, 0, 60, 36, 0, -24, 0, 0, -30, 2, 0, 14, 24, 0, -88, -12, 0, 20, 44, 0, 0, 68, 0, 2, -94, 0, 36, 0, 0, -60, 72, 0, 0, 42, 0, 24, -44, 0, 4, -4, 0, 0, 108, 0, -36, 12, 0, 36, 0, 0, -28, 24, 0, 36, -112, 0, 22, -59, 0, 7, -12, 0, 0, 10, 0, 28, -36, 0, -14, 0, 0, -10, 4, 0, -16, -18, 0, -24, -12, 0, 0, 10, 0, 0, -70, 0, -50, 2, 0, 18, 0, 0, 0, -56, 0, 6, 0, 0, 60, -12, 0, -28, -4, 0, 0, -4, 0, -42, -90, 0, 64, 0, 0, -54, 40, 0, -8, -24, 0, 12, -8, 0, 60, -30, 0, 0, 0, 0, 44, 72, 0, -40, 0, 0, 72, -12, 0, 6, 28, 0, 8, 26, 0, 12, -6, 0, 0, -2, 0, 22, -8, 0, -92, 0, 0, 0, -104, 0, 82, -16, 0, 6, -20, 0, 94, -8, 0, 0, -120, 0, 20, 0, 0, 0, 0, 0, -43, 10, 0, 24, 120, 0, 6, -8, 0, 4, -60, 0, 0, 68, 0, 24, 60, 0, 40, 0, 0, 36, -8, 0, -4, -68, 0, 28, -6, 0, -112, 4, 0, 0, 16, 0, -62, 20, 0, -2, 0, 0, 32, 30, 0, 60, -28, 0, -42, -12, 0, -16, 4, 0, 0, 12, 0, 84, -20, 0, 90, 0, 0, 36, -52, 0, -12, -44, 0, 2, 24, 0, -24, -14, 0, 0, 106, 0, 92, -12, 0, -16, 0, 0, 24, -34, 0, 2, -36, 0, -34, 0, 0, 32, 2, 0, 0, 48, 0, 0, -82, 0, 52, 0, 0, 24, -60, 0, 0, -8, 0, -12, -6, 0, 80, 12, 0, 0, -56, 0, 8, -26, 0, 12, 0, 0, 92, 10, 0, 6, -132, 0, 74, 40, 0, -4, 2, 0, 0, 36, 0, 34, -102, 0, 72, 0, 0, 16, -24, 0, -46, -18, 0, 0, 84, 0, -56, 72, 0, 0, -12, 0, -28, 38, 0, 36, 0, 0, 60, 6, 0, -6, -28, 0, -72, -18, 0, -8, -50, 0, 0, 80, 0, 18, 36, 0, 88, 0, 0, -20, -116, 0, 50, 12, 0, -20, 98, 0, 56, 12, 0, 0, 48, 0, -24, 0, 0, 12, 0, 0, 70, 4, 0, -20, -68, 0, -18, 7, 0, -2, 10, 0, 0, -16, 0, -48, 14, 0, 2, 0, 0, 6, 0, 0, 96, 34, 0, -9, -102, 0, 135, -14, 0, 0, 10, 0, 58, -14, 0, -24, 0, 0, -2, 12, 0, 20, -24, 0, 38, -12, 0, 78, -24, 0, 0, 62, 0, -38, -144, 0, -2, 0, 0, -42, 48, 0, 38, 26, 0, 0, 94, 0, 4, 0, 0, 0, 114, 0, 6, 24, 0, -60, 0, 0, -20, -4, 0, 18, -14, 0, -8, 28, 0, -6, -60, 0, 0, -24, 0, 16, 12, 0, 64, 0, 0, 12, 4, 0, -84, 4, 0, -86, -60, 0, 20, 0, 0, 0, -32, 0, -12, 26, 0, -40, 0, 0, -4, 36, 0, -12, 70, 0, 100, -20, 0, -18, -36, 0, 0, -48, 0, -12, 8, 0, -16, 0, 0, 48, 2, 0, -72, -24, 0, -27, 100, 0, 52, -4, 0, 0, -64, 0, -122, 0, 0, 2, 0, 0, -108, 44, 0, -14, -4, 0, 68, -60, 0, 20, 12, 0, 0, -1, 0, 20, 24, 0, -26, 0, 0, 0, -6, 0, -6, 24, 0, 72, 54, 0, 10, -4, 0, 0, 108, 0, 80, -8, 0, 44, 0, 0, 0, 18, 0, 14, -4, 0, 14, 56, 0, 72, -64, 0, 0, 24, 0, -6, 18, 0, -34, 0, 0, -4, 42, 0, -22, -40, 0, -20, -2, 0, 36, -32, 0, 0, -104, 0, 16, 0, 0, -12, 0, 0, 24, 36, 0, -30, 12, 0, -4, 0, 0, 8, -48, 0, 0, 36, 0, 62, -24, 0, -84, 0, 0, -40, 56, 0, -64, 2, 0, -44, 3, 0, -48, -12, 0, 0, 0, 0, 0, -4, 0, 18, 0, 0, 12, -2, 0, 14, 24, 0, -8, -8, 0, -38, 0, 0, 0, -4, 0, 12, 78, 0, -28, 0, 0, 72, 48, 0, -40, -48, 0, -24, 62, 0, -12, 0, 0, 0, 116, 0, -2, 40, 0, 28, 0, 0, 32, 8, 0, 8, 120, 0, 16], "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": [9702, 1, [4313, 199, 5293], [1, 1, 1]], "Nk2": 38808, "field_poly_root_of_unity": 0, "analytic_rank": 0, "char_orbit_label": "a", "weight": 2, "trace_display": [-1, 0, 2, 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^{4}+2q^{5}-q^{8}-2q^{10}-q^{11}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[5, [-2, 1]], [13, [-2, 1]], [17, [-6, 1]], [19, [-4, 1]], [23, [6, 1]], [29, [6, 1]]], "space_label": "9702.2.a", "level": 9702, "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": 90071992580974054, "fricke_eigenval": -1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.023", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.095", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "5.340", "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], [0], [1], [2], [0], [0], [-1], [0], [-2], [-1], [0], [2], [0], [0], [1], [6], [0], [4], [2], [0], [1], [-6], [0], [-1], [-2], [0], [0], [-6], [0], [-2], [-1], [0], [-6], [0], [0], [2], [-4], [0], [-2], [10], [0], [-6], [-1], [0], [6], [0], [0], [0], [1], [0], [2], [2], [0], [-2], [0], [0], [6], [-4], [0], [14], [2], [0], [1], [4], [0], [12], [6], [0], [0], [2], [0], [6], [-2], [0], [4], [0], [0], [0], [2], [0], [-10], [6], [0], [12], [6], [0], [1], [6], [0], [0], [-6], [0], [0], [8], [0], [0], [0], [0], [-1]]}