# Trace form for 2415.2.a.i, downloaded from the LMFDB on 25 April 2024.
[0, 1, 1, 1, -1, 1, 1, -1, -3, 1, 1, -2, -1, 0, -1, 1, -1, -2, 1, -4, -1, -1, -2, -1, -3, 1, 0, 1, 1, 2, 1, -2, 5, -2, -2, -1, -1, -4, -4, 0, -3, -10, -1, -8, 2, 1, -1, 0, -1, 1, 1, -2, 0, -12, 1, -2, 3, -4, 2, 6, -1, -6, -2, -1, 7, 0, -2, -4, 2, -1, -1, -4, -3, 4, -4, 1, 4, 2, 0, -2, -1, 1, -10, 12, 1, -2, -8, 2, 6, -10, 1, 0, 1, -2, 0, -4, 5, 14, 1, -2, -1, 2, -2, 0, 0, -1, -12, 12, -1, 2, -2, -4, 1, -20, -4, -1, -2, 0, 6, 2, -3, -7, -6, -10, 2, 1, -1, 0, -3, -8, 0, -10, 2, 4, -4, 1, 6, 8, -1, -2, 1, 0, -4, 0, -1, 2, 4, 1, 4, -6, 1, 20, 12, -2, 2, -2, 0, -2, -2, -12, 5, 1, 1, -4, 10, -2, 12, 8, 3, -13, -2, -4, 8, -4, 2, -1, 2, 6, -10, 24, -1, -2, 0, -6, 3, -4, -2, 4, 0, -1, -4, 6, 7, 6, 14, 0, -1, -18, -2, 24, -3, -4, 2, -2, 2, -10, 0, -1, 0, 8, -1, 8, 12, -4, 12, -8, -3, 2, 2, 4, 2, 0, -4, -24, -5, 1, -20, -12, 4, -6, -1, 2, -6, 10, 0, 0, -6, -2, 2, 20, -1, -14, -7, 1, 6, 1, -10, 0, 6, 12, 1, 0, 1, 2, 0, -2, -17, 0, -8, 4, 0, 2, -10, -12, 6, -12, 4, -10, 4, 10, 1, -2, 2, 0, 8, -2, 1, 2, -2, -2, 3, 6, 0, 12, 4, -4, 0, 10, 5, -13, 2, 14, -4, 14, 1, 6, 12, -2, -6, 0, -1, 8, 20, 2, 4, -6, -2, -4, -2, 0, -2, -18, 0, 2, -2, -1, 2, 30, -12, -4, 7, 12, 1, 8, -1, 0, -4, 2, 30, 0, -2, -12, -12, -4, 8, -4, 1, 16, -13, -20, 2, 4, -4, -1, 24, -1, -4, 36, -2, -10, -1, 0, -10, -12, 6, -4, 10, 2, 24, 26, -3, -3, -2, -7, 0, 4, -6, -8, 1, -10, -4, 12, 2, -20, 4, 1, 0, 0, -1, -2, 4, 0, 6, -16, -3, 2, 6, -8, -14, 34, 0, 2, -3, -10, -18, -2, 2, -12, 24, 4, -1, 2, -4, 0, -2, 1, -2, 8, 6, 10, -10, 8, 0, -6, -1, 12, 0, -2, 8, 20, 1, -34, 8, 0, 36, -2, -4, 6, -12, 0, -8, -30, -1, 14, 2, 2, -2, 4, 4, -22, 6, 1, 0, 12, 4, -10, -24, -6, -7, -2, 1, 20, 20, 20, -12, 0, 12, -12, -6, -2, 1, 26, 2, -8, -2, -2, 10, 20, 0, 4, 0, -2, -18, 16, -2, -4, -2, -12, 20, 4, 5, 0, -14, 1, 7, 14, 1, 24, 18, -4, 1, 40, 10, -4, 0, -2, 2, 4, 12, -32, -1, 8, 0, -8, 3, 2, 2, -13, 0, -26, -2, -4, -11, -4, 0, 0, 8, 0, 4, -4, 0, -18, 2, -28, 10, -1, -12, 4, 2, 1, -12, 6, -4, 0, -10, 12, 12, 24, 10, -2, -1, 2, -2, -2, -10, 2, 0, 20, -8, -6, -2, -8, 3, 2, 2, -4, 2, -4, -2, 0, 1, 4, 6, -36, 0, -20, 12, -1, 12, -6, -4, -34, 0, 6, 10, -1, 7, -20, -13, 6, -2, -12, 14, 24, -12, 0, 14, 36, -1, 8, 6, -18, 4, 4, -2, 2, 6, 24, 0, 16, -3, -26, 8, -4, -20, -7, 2, 28, -20, -2, -6, 0, 2, 24, -4, -10, -6, 12, 0, -28, 2, -1, -18, 10, 0, 1, 2, 8, 2, 8, -1, 14, 6, 8, 30, 0, 12, 0, -4, -4, -3, -2, 12, 28, -1, -8, 8, -28, -3, -12, 0, 2, 4, -18, 2, -10, 10, 4, 0, -14, 2, -10, -12, 0, -36, 4, -4, -2, -8, -24, -4, 12, -5, 14, 16, 1, 13, -6, -20, -14, 6, -12, 4, -4, 4, 8, -1, -6, 8, 0, -1, -50, 4, 2, 36, -2, -6, 20, -10, 10, 1, -26, 0, 16, -14, 0, -12, -2, -6, -18, -4, -2, 30, 2, 2, 0, -24, 20, 26, -30, -1, 0, -3, -14, 2, 2, -7, -24, 0, 1, 4, 16, 6, -30, -8, 1, -5, 8, -10, 24, 4, 0, 12, 16, 6, -6, -20, 12, -4, -12, 1, 6, 0, 0, 0, 20, 1, -8, -2, 2, 12, 42, 0, -2, -6, -2, -16, 0, -17, -30, 2, 0, -6, -14, -8, -2, -42, 4, 34, 40, 0, 8, 2, 2, -1, -2, -10, -4, 18, -12, -2, 20, 6, 0, -12, -12, -24, 38, 4, 0, 5, -10, 2, -8, 4, 1, 0, 10, -6, 10, 1, 38, 2, -2, 8, -4, 2, 32, 10, 0, 10, -26, 8, 16, 0, -2, -6, 20, 1, -38, 12, 2, 0, -2, -2, 8, -8, -2, 20, 12, 3, -25, -34, 6, -8, -13, 0, 7, 12, 12, -2, 4, 4, 4, 6, -4, -36, 20, 0, -34, 8, 10, -30, 16, 5, -4, 14, -13, -2, 4, 2, 0, -6, 14, 4, -1, -4, 54, -22, 14, 2, -30, 1, -20, 0, 6, 12, -12, 12, 0, -10, -2, 24, 0, -6, 24, 3, 0, -2, -4, -1, 24, 20, 8, 60, -2, 20, -40, 12, 2, 0, 10, 4, -24, -12, -6, 6, 10, -2, -14, 3, -4, 26, 0, -2, -4, -8, 0, 10, -54, -2, -4, -10, -18, 20, 4, 0, -26, 4, 2, 0, -14, -2, 10, -6, -1, 16, -20, 2, 0, -4, 30, -6, 24, -12, 6, -20, -4, 4, -8, 7, -27, 0, 12, 14, 6, 1, -32, 21, 8, 14, -56, -1, 2, 24, 0, 6, 52, -4, 20, -1, 2, 40, 32, 30, -18, -4, 0, 0, 8, -2, -28, -10, -12, 4, 24, -12, 16, -32, -4, -3, 0, 8, -12, 0, -4, -8, 48, 1, 30, 2, 16, -2, 40, -13, -2, 0, -20, -26, -34, 2, 2, -4, 4, 23, -10, -4, 0, 0, -1, 0, 62, 24, 12, 0, -1, -4, 12, -4, -10, 0, 36, -18, 6, -2, 8, -28, -10, 30, -14, -1, -40, 12, 0, 4, 8, -10, -20, 1, -12, 12, -10, 6, 0, -12, -4, 0, -28, 10, -14, 12, 2, 4, -8, 24, -8, -10, 26, -2, 0, -3, 0, 2, -3, 2, 2, -2, -32, -14, -7, 2, -40, 0, 30, 20, 4, -24, -24, -6, 2, 2, -8, -8, -24, 1, 0, 2, -10, -2, 50, -4, -4, 6, 12, -4, -24, 2, 46, 0, -20, -5, -24, 4, 36, -6, 1, -36, -1, 0, -22, -20, 0, -12, 0, -1, -12, 4, -2, -6, 8, 4, 4, -34, 0, 0, -6, 6, 8, -10, -16, -1, 30, -3, -36, -20, 2, 13, 0, 6, 24, -6, -8, -12, -28, -14, 10, 24, 34, -4, -8, 0, -58, -14, 2, 36, 0, -3, -24, 8, -10, -6, -18, -18, 13, -20, -2, 4, -28, 2, -20, 2, -12, 18, -50, 24, 20, 0, 4, 16, -4, -1, -58, -26, 2, -8, -14, -4, 8, -60, 0, -7, 4, -2, -24, 28, 1, -28, -30, -2, 12, 6, 8, 0, -32, 6, 1, 24, 10, 4, -26, -10, -22, -2, 8, 12, 0, 0, 48, -28, -6, 6, -8, -1, 40, 18, 12, 10, -16, 0, -6, 1, -2, -2, -24, 8, 0, 6, 20, 8, -48, 1, 0, 14, -34, 2, 2, 8, 2, -30, 0, 0, 20, 36, 16, 0, -2, 4, -52, -4, -48, -17, 6, -2, 44, -12, 0, 28, 0, -3, 34, -8, 2, -8, -30, -28, 4, -1, -42, -12, 14, 0, 22, 2, 56, 12, 2, -18, -36, -2, -4, -10, 4, -50, 0, 4, -12, 0, -22, -14, -18, 6, -58, -10, 1, 12, -12, 0, 8, -12, 12, 4, 36, 4, 16, -2, -10, -24, -6, -24, 0, 4, -6, 12, 4, -7, 10, 14, -2, -16, 16, 1, -6, 39, 20, -6, -2, 20, -6, -14, 20, 2, -14, -12, 0, -4, 0, -4, -52, 12, -21, 8, -12, 1, 54, -6, -2, -40, -2, 0, 18, 1, -10, -50, 26, 12, 2, 2, -16, -36, -8, -2, 0, -2, -24, 20, -2, 10, 0, 10, -52, 3, 20, -26, 6, 0, 6, 16, 4, 6, -18, 0, -24, 12, -2, -2, 12, -18, 0, -18, 16, 4, 2, -2, 44, 10, -4, 2, 48, -2, -22, 0, -12, -72, 14, 20, 10, -26, 4, -30, 28, 5, 20, 0, 0, 3, -13, -14, -64, 6, 1, 2, 36, 7, 14, -24, 14, 0, 0, 1, 0, -4, 24, 16, -8, 18, 14, -30, -4, 8, 0, 1, 22, -7, 40, 8, 6, 10, -8, 24, -4, 12, 42, 0, 36, -12, -2, 16, -32, 2, -14, -6, 4, 20, -24, 12, 0, -12, -32, -12, -36, -1, 8, 6, 8, 0, 8, 0, -16, 0, -8, 20, 30, 3, 20, -8, 2, 2, 40, 2, -2, 4, -13, 42, -24, 0, -6, -2, -26, -18, 4, -2, 2, 16, -4, 0, -4, -11, -24, -30, -4, -2, 4, 0, 16, -18, 0, -14, 0, 8, 26, -2, 0, -14, -36, 4, -18, -34, -4, 40, 42, 0, 24, 8, -18, -2, 2, 2, 48, 5, -28, -2, 32, 10, 0, -4, -1, 54, -48, -12, 6, 2, 4, 20, 36, 2, 30, 0, 1, 12, 12, -12, 32, -72, 6, 38, -4, -4, 60, 0, 0, 7, -34, -10, 6, -2, 12, -8, 12, 12, 54, 1, 24, 0, 4, 10, 8, -2, -2, 10, 12, -1, -38, 38, 2, 6, 0, -2, -12, -8, -2, -4, -10, -10, 4, 32, 2, -10, -64, 0, 12, 30, 20, -26, 24, -8, 0, 16, -6, 0, -28, -2, 0, 6, -8, 20, -12, 3, 20, -38, 2, -12, -40, 2, -24, 0, -4, -2, -60, 2, -10, 8, -4, -24, -20, -2, -4, -20, 0, 12, -4, 1, 59, -25, 4, 34, 16, 6, 14, -24, -36, -13, 40, 0, -10, 7, -20, -60, 52, 12, -64, 2, -1, 4, 0, 12, 4, 4, -6, -6, -18, -4, 12, -12, -34, 20, -1, 0, -4, -34, 6, 24, -42, 10, 68, 30, -1, 16, 4, 7, 0, -4, -20, -14, -54, -13, 36, -6, 6, 4, 0, -2, 26, 0, -12, -2, -10, 14, 20, -4, 24, -1, 0, -12, 26, 54, 0, 22, 0, 14, -14, -10, 36, -30, 80, -1, -12, -20, 8, 0, -12, 6, -2, -12, -18, -12, -4, 4, 16, 0, 4, 10, 0, -2, -20, 72, 2, 0, 52, 6, 26, 24, 24, 17, 8, 0, 26, 2, 16, -4, 0, -3, -58, 24, -26, -20, -3, 8, 0, 20, -4, -2, -36, -20, -4, -40, -7, 36, 2, 2, -24, 0, 28, 10, -16, -20, 4, -24, -2, 12, -12, -6, 50, 18, 0, 10, -8, 2, -16, -14, 24, 1, 12, -4, -56, -26, -10, 0, -48, -6, 21, -4, 12, 8, -4, 0, 12, 14, -28, -54, 26, 2, 10, -4, -1, -30, -20, -18, 56, -20, 10, 4, 12, 0, 16, -26, 1, -4, -44, 2, -22, 0, 8, -14, -10, 2, 0, 10, 8, 30, 58, -1, 12, -16, 14, -20, -2, 6, 2, 0, 8, 4, -42, 30, 8, -2, 0, 24, -12, 12, -12, 6, 0, -60, -42, -4, -16, -4, -4, -8, -8, -3, 40, -27, -2, 0, 2, 12, 0, 42, 28, 6, 72, -1, 10, -32, -8, 7, 0, 8, -2, -14, -28, -56, -8, -3, 34, 2, -12, -24, -10, 0, 44, -30, 2, 52, 2, 4, 0, 20, -18, -3, 48, 2, 0, -40, -10, 32, -6, 10, -48, -18, 4, 4, -12, 0, -2, 0, -14, 8, -38, 2, -12, -28, -10, -14, -12, -12, -40, -4, 0, 24, 4, -36, 46, 16, 4, 32, 88, -4, 38, -1, -2, 0, 60, -8, 2, -12, -24, 0, -10, -4, -18, 8, 12, 48, 0, -5, -58, 30, 14, -2, 0, 16, 13, -6, 1, 40, -52, 13, -70, -2, -6, 0, -48, -20, 8, 26, -14, -34, 54, 6, 0, 2, -12, 4, 10, 4, 10, 45, -4, -10, -14, 4, 22, 0, 8, 0, 14, -1, -8, 0, -6, 62, 4, 8, -6, 12, 0, 0, 14, -1, -8, -12, -50, 12, 12, 4, 8, -10, 2, 0, 34, 36, 52, 18, -2, 6, -8, -6, -38, 8, 20, 28, 0, -10, 20, 10, 10, -14, -30, 1, -12, -40, -26, 36, -34, 0, -8, -4, 16, 8, -24, -14, -38, -20, 0, -1, 8, -12, 0, 36, -2, -10, -12, -6, -2, 0, -18, -4, -10, -4, 24, 0, -2, -28, 6, 30, -24, -14, 2, -12, 70, 2, 56, -20, 0, -8, 80, -24, 4, -8, 20, -30, 44, 26, -30, 2, -30, 0, 0, -1, -30, 0, 0, -2, 14, -3, 36, 6, -14, 2, 0, 2, 120, -32, 2, 6, 18, -7, 58, -2, -24, -40, -24, 0, 4, 30, 1, -20, -48, 4, -2, -8, 16, -24, -22, 6, 0, 2, -30, 6, 8, -8, 28, 8, 1, -24, 20, -5, -47, 0, 8, -2, -84, -10, 12, -6, 24, 50, -30, 4, 18, -4, 0, 2, -10, 12, 20, 4, 16, -24, -14, 6, 4, 46, -6, 0, 30, -20, 50, -7, 12, -24, 16, -4, -2, 36, -12, -18, 0, 1, -38, 36, 6, -1, 20, 0, 24, -22, 0, 20, -8, 0, -8, -36, 20, 0, 88, 1, 2, -12, -8, -20, 30, -2, 0, 6, 2, 8, 96, 12, 46, 4, 42, 34, -12, 0, 88, 0, -2, -6, -4, -6, 54, 8, -2, -30, -72, -16, 28, 1, 0, 30, 0, -17, 26, -36, -30, 20, 42, 2, 74, 39, 0, 0, -8, -6, 12, 24, -14, -2, -16, -8, -2, 12, -2, -28, 0, -42, -16, 10, 4, -24, -36, 34, 20, 20, 40, -8, -48, 0, 70, -58, 8, -42, 4, 2, 4, -36, 2, 0, 36, -1, 0, -24, -2, -8, -42, -10, -16, -18, -4, -18, 4, 18, 16, 13, -12, -28, 0, -2, 58, -4, 20, -28, -4, 6, 54, -20, 0, -2, -54, -12, 80, 6, -12, -50, -4, -24, -10, 20, 38, 0, -12, 4, 4, -16, 0, -4, -12, 5, 1, -58, -10, 26, 0, 2, 24, -24, -8, -14, -12, 4, 0, 8, 1, -20, 90, 0, -60, 7, 10, 4, 48, -6, 14, -24, 10, -28, -36, 1, 0, 12, 38, -30, 24, 2, -72, 12, -2, 18, -30, 8, 10, 0, -4, -32, 96, 2, 4, 1, 32, -24, 48, 10, 40, 12, 0, -26, 18, 10, -12, -22, -26, 10, -4, 8, -60, -12, 16, 0, 12, 0, -62, 48, -2, 28, 16, -6, 16, 2, 20, -8, 0, 1, 4, 40, -38, 54, 40, 12, 0, -10, 2, -16, -32, 0, 24, -6, -2, -1, 60, -2, -44, -6, 8, -24, -2, -8, 0, 0, -2, 2, -26, 20, -8, -8, 12, -48, 12, 3, 30, 0, -25, -14, 2, -34, 3, -10, 6, 2, -4, -8, 12, 2, -13, -90, -48, 0, 42, 0, 7, 20, 72, 12, -26, 16, 12, 0, 18, -2, -20, 12, 4, -52, -4, 4, -26, -48, 4, -11, 0, 6, -20, 2, -4, 44, -40, -36, 8, 0, 20, -28, -24, 0, 0, -1, -34, 34, -6, 8, -20, 2, 10, -24, 0, -30, 0, 28, 16, 4, 82, 5, 62, -42, -4, 12, -12, 14, 20, 0, -13, 22, -32, -2, -18, 56, 4, 4, 6, 2, 20, 18, 0, -36, -28, -6, -32, -4, 14, 10, -18, 4, 48, -70, -1, 0, 16, -4, -40, -12, 54, 0, -36, -22, 4, 14, 14, -18, 0, 2, 8, -58, -30, 10, 1, 1, 32, 36, -20, -12, 28, 0, 2, 8, 6, 60, 54, 12, 44, -4, -12, 36, 92, 12, 0, 16, 0, 2, 4, -10, -32, -8, -2, -6, 12, 24, 4, 0, 0, 12, 16, -6, 88, -12, 24, 4, -8, 3, -30, 10, 0, -14, -4, -2, -2, -48, -4, 16, 0, -1, -16, -6, 24, 13, 2, 20, 16, 6, 8, -2, 26, 60, -68, -6, -2, 14, 0, 20, 64, -10, -40, -14, -34, 12, 2, 0, 2, -12, -6, 0, -94, 4, 10, -52, 20, 4, -2, -21, -24, -8, 22, -12, 0, 3, -6, 54, 40, 6, 2, -2, 10, -56, 10, -2, -8, 0, -14, 18, 20, 3, 0, -10, -4, 50, 2, 26, 40, 4, 0, 2, 8, -2, 0, -16, -4, -108, 18, -8, 12, 2, 0, 0, 7, 10, -4, -24, -54, -20, -6, -2, 50, 30, -4, 0, 0, -10, 52, -52, -18, 1, -58, 20, -84, 26, 4, 6, -2, 0, 91, 6, -26, -16, 28, 4, -36, 34, 2, -18, -78, 0, 0, -24, -14, 36, -20, -2, 0, 2, 10, 12, 24, -6, -44, 0, -1, 18, 30, 16, -16, 12, -20, 2, 60, 2, -6, 44, 0, -50, -8, -4, 78, -2, 30, 48, -34, -6, -72, -22, 24, 0, -46, -12, -10, -24, 6, 14, 0, -20, -80, 10, -4, -78, 26, 4, -1, 30, -8, 28, 68, 7, 32, 20, -27, 0, -20, 0, -88, 9, 12, -13, 6, 14, 24, -64, 6, 2, 18, 1, 0, -2, -32, 36, 8, 21, -12, 14, 8, 24, 2, 14, 40, 0, -56, 0, 24, -1, 10, 0, 2, -12, 0, 24, 8, -16, 0, -8, -40, 6, 4, 14, 52, 30, -20, -4, 36, 24, 20, 0, -54, -1, 8, 22, 2, 3, 8, 40, 34, -8, 32, 6, 0, 30, -44, -8, -18, -24, -24, -4, -20, 4, 0, 42, 72, 0, 4, 36, 8, -36, 14, -2, 18, -16, -28, -32, 2, -10, 0, -14, -12, 6, 4, 4, 8, 60, 24, -24, 0, -12, -6, 0, 16, -4, -40, -32, 16, 12, -4, -36, 50, -3]