{{1, -1, -1, 0, -1, 0, 1, 1, -1, 1, 1, 1, -1, -1, -13/12, -1/2, 1/2, 5/6, 
  3/4, -1/2, 0, 0, 13/12, -1/2, -3/4, 1, 0, -1/2, -1, 1, -5/6, 1/3, 1/6, 5/6, 
  2/3, -7/6, 17/6, -1/6, 5/6, -5/3, -7/6, -3/2, 7/6, -11/6, -5/6, 2/3, 5/12, 
  7/12, -29/24, -3/2, 5/12, 2/3, 37/24, 61/24, 1/12, 9/8, 3/8, -13/8, -61/24, 
  9/8, -5/6, -1/6, 23/12, -5/6, -17/12, -7/3, -5/4, -11/6, 29/12, 3/4, -1/12, 
  3/4, 3/4, 5/6, -1/3, -1/3, -5/12, -5/4, 19/24, 15/8, -3/4, -19/6, -29/6, 
  13/8, 79/24, -1/3, 5/6, 11/12, -25/12, 2, 14/3, -11/6, -3/4, 0, -11/12, 
  1/3, 2/3, 5/12, -3/8, 0, 7/6, -19/24, -3/4, 1/6, -7/12, 1/12, -5/12, -8/3, 
  -3, 3/4, 3, 13/6, -9/4, -19/4, 9/4, 5/12, 7/2, 35/6, -11/3, 17/3, -5/12, 
  1/12, -5/12, -31/12, 5/12, -7/2, -5/12, -7/12, 1/4, 1/3, 1/4, 11/6, 15/4, 
  -7/4, -13/3, 7/3, 5/4, -2/3, 3/4, 1/3, -14/3, 29/12, -23/12, -17/12, 3/4, 
  2/3, 5/12, 2/3, 5/6, -3/4, -5/12, 7/3, -19/12, -3/4, 1/3, -3/4, 1/12, 
  -5/12, 1, -5/3, -3, -1/4, 7/3, 2, 1, -67/12, -3/4, 5/12, -5/4, 7/4, 35/6, 
  1/2, -7/4, -13/6, -5/4, 55/6, 3/4, 0, 0, -31/12, -1/3, 1/4, -43/12, -1/12, 
  -7/12, -1/12, 1/3, 5/12, -1, 5/6, 15/4, -10/3, 1, 85/12, -1/4, 13/12, 
  -14/3, 17/12, -31/12, -16/3, -17/12, 5/12, 5/12, 3/4, 5/6, -3/4, -15/4, 
  -19/12, 1/3, 3/2, 5/12, 1/2, -5/6, -3/2, 7/6, 1, 3/8, -67/24, -3/8, -5/12, 
  1/3, 23/12, 5/12, -3/8, -7/6, 1/2, 1/12, 10/3, 5/3, -13/8, 3/8, 9/8, 5/12, 
  -1/12, -5/12, -1/24, -1/2, -19/24, -25/12, -7/12, -1/3, 1/3, 3/8, -1/2, 
  5/12, 15/8, -37/24, 1/2, 85/24, 1/4, -41/24, -7/24, -7/24, -8/3, -11/8, 
  -35/12, -1/3, 1/2, 5/12, 31/12, 23/12, -3/8, 5/12, -3/8, -15/8, 1/6, 3/4, 
  73/24, -19/24, -4/3, -1, 1, 1, -1, 1, -1, 1, -2, 1, 1, 1, -2, -1, 1, -2, 2, 
  0, 1, 1, 2, 0, -2, 0, -2, 2, 2, -4, 4, 4, -3, 3/4, 6, -3, -2, 8, 5, 0, 0, 
  -2, 0, 0, 4, 0, -2, 1, 1, -1, 0, 0, 0, 0, -3, 4, -3/4, -6, 3, -1/2, 2, 
  -3/2, -2, 3, -3/2, -1/2, -3/2, 3/8, 3, -3/2, 1/2, 3, 1/2, 2, -1/3, 2, -1, 
  -1, 1, 1, -1, -1, 0, -1/2, -1, 1, 0, -1, -1, 3, -5/3, 3/2, 1, -2, -1, 1/2, 
  1, -1/2, 3/2, -1/2, -1/2, -1/2, 0, 4, 5/6, 0, -1, 3, -3, -4, 29/6, 4, 0, 
  -5/6, -4, -23/6, -4, -4, 4, 4, -4, -12, 8, 4, 12, -13/2, -1, 1, 2/3, -67/6, 
  19/2, -2, -3, -1, 8/3, 8/3, -22/3, -2/3, 8, 4/3, -10/3, -7/6, 25/6, -8/3, 
  1/6, -5, -1/3, -14/3, 1, -13/3, 7/3, -26/3, -17/3, -11/3, 35/6, 1/2, -2/3, 
  1/4, 3/4, -1, -5/6, 11/12, -7/6, -11/3, -5/12, 13/6, 9/4, -17/12, -1, 5/6, 
  10/3, 35/6, 5/4, -13/3, -5/6, -2/3, -2/3, 2/3, 1/3, 2/3, -2/3, -2/3, 9/8, 
  -9/2, -7/8, -1/2, -7/8, 1, -29/6, 2, -1/2, 2/3, 1/3, -2/3, -1/2, -7/8, 1/2, 
  -1/2, 1/2, 1/3, -5/3, 1/2, -1/2, -71/12, 1, 3, -7/8, 11/6, -10/3, 17/2, 1, 
  5/12, 127/12, -2, -27/8, -29/6, 2, -23/6, -2/3, -1/2, -1/12, 5/3, 17/24, 
  8/3, -13/6, -1/3, 1/2, -1/6, -2/3, -7/6, 1/2, 4, 7/6, 1/2, -1/3, 1/2, 11/6, 
  -5/6, 4/3, 3/2, -7/6, 4/3, 5/6, -1/6, -5/6, 2/3, 41/12, -11/2, 9/4, 5/3, 
  11/12, -11/3, 13/12, -3/2, -5/3, -5/12, 2/3, 3/4, 2/3, 79/12, -79/12, -2/3, 
  -5/2, -29/2, 107/12, 7/2, 89/12, -5/3, -55/12, 77/12, -4/3, 127/12, -47/6, 
  -6, -1/4, 1/4, 1/4, -1/3, -1, -5/6, -11/12, -5/2, -1/6, 43/24, -7/4, 13/4, 
  -21/8, -9/4, 1, 5/6, 5/6, 17/6, 4, 19/12, 71/24, 7/6, -1/3, 1/2, -2/3, 
  -11/6, -3/4, -1/3, 47/12, 22/3, 7/12, 41/6, 7, 11/4, -1/4, 2/3, -85/24, 
  -109/12, -1/3, -239/24, -13/3, 97/24, 1/4, 1/2, -143/24, -16/3, -2, -1/24, 
  19/12, -1, 59/8, 41/12, 1/2, 1/4, 1/4, -1/4, 1/12, -11/12, 1/2, 1, 23/12, 
  -1/2, -17/24, -1, -3/8, -1/6, 3/4, -1/2, -29/12, -5/6, 25/24, -1/4, 1/6, 
  7/4, 1/3, 1/12, 1/12, -13/4, 3/2, 53/12, 7/12, 3, -9/2, -11/12, -13/12, 
  13/8, 7/4, -33/4, -17/8, 21/4, 23/12, -41/24, 23/6, -11/12, -31/12, 9/8, 
  -9/4, 17/6, -9/8, 1/4, 65/12, -3/8, -17/6, -17/6, 3/4, 1/4, -5/6, 3/4, 1/2, 
  7/12, 1/4, -1/2, 5/8, -1, -3/8, -1/12, 3/4, -1/2, -5/2, -5/6, 25/24, -1/4, 
  1/6, 7/4, 1/3, 5/6, 0, -59/12, 5/2, 11/12, -37/12, 73/12, -4, 0, 9/4, 
  -11/12, 137/24, -1/4, -31/4, -49/8, 65/12, 7/3, -17/24, 11/3, -11/12, -4/3, 
  79/8, -22/3, -7/4, -57/8, 1/6, 11/4, 45/8, -2, -8/3, -5/6, 25/3, -8/3, -2, 
  -1/4, -13/12, 37/12, 6, -1/2, 11/2, 9/4, 5/3, -5/4, -26/3, 29/12, -71/12, 
  -5/3, 4/3, -2, 4/3, 1/12, -7/2, -15/2, 19/6, -35/12, 1/6, 55/6, -11/6, 
  -5/4, 17/12, 3/2, -19/6, -15/4, -13/6, 49/12, 6, -7/3, -17/2, -5/2, 3/4, 
  137/12, 9/4, 5/2, -19/12, -26/3, 79/12, 22/3, -71/6, -7/3, 4/3, -59/12, 
  4/3, 7/2, 5/3, -15/2, 5, -3/4, -181/12, -19/4, 25/4, 7/6, 5/3, -5/2, 3/2, 
  9, -5/6, -2, 6, -4, -4, 2, 6, 2, -4, -6, 12, 6, 6, -11/3, -3, 71/12, 1/3, 
  1/4, -9/4, -5/2, -1/3, 25/6, 17/6, -1, 1/12, 26/3, 1/3, -73/12, -6, -59/12, 
  27/4, 8/3, -17/6, -5/3, 107/12, -9/2, -2, -3, 7/4, -3/2, 19/6, 7/12, -1/3, 
  -20, -9, -7/4, 26, 5/4, 7/6, 10/3, 43/3, -27/4, -43/3, 19/4, 4, -23/6, -2, 
  -6, 1/3, 20, 3, -1/4, -107/4, 2, 41/12, -33/2, 4/3, -13/6, 6, -3, 35/12, 1, 
  -5/3, -3, 5/6, 4/3, 11/3, 3, -1/12, -95/12, -2, -3, 67/12, 9/4, -5/6, -1/3, 
  11/2, 3, 59/24, -43/6, -35/6, 23/12, 39/4, -23/8, 5/3, -5/6, -23/6, -10, 
  13/3, 19/12, -3/2, 1/6, 59/8, 2/3, -1, 5/6, 15/4, -25/12, 1/6, -15/4, 32/3, 
  -1, -91/12, 3/2, -17/4, -15/4, 29/12, -5, 1/2, 41/12, 19/12, -1, 5/6, -3/4, 
  -55/12, 3/4, 15/4, -1/2, 3/4, 41/12, -1/3, -1, 5/3, 3, -1/2, 5/12, -7/6, 
  -1/3, 19/12, -151/48, 205/48, -19/16, 397/48, 15/8, 5/6, -2/3, -23/6, 11/3, 
  -215/24, 5/12, -193/24, 31/16, -161/48, -5/6, 1/6, -9/2, 163/24, 137/24, 
  2/3, 2, 43/12, 1/12, -15/4, -55/12, 41/12, -1, -31/12, -55/12, 3/4, 20/3, 
  7/12, -49/12, 17/6, -17/6, 4/3, 7/12, -4/3, 8/3, -23/4, 4/3, -5/6, -4/3, 
  199/48, 1/16, -11/16, 25/16, -7/16, -21/16, -5, -1/12, 2/3, -4/3, 425/24, 
  19/8, -3/4, -155/12, -181/48, 185/48, 23/3, 5/6, 1/3, -23, -181/24, 99/16, 
  -17/3, -2/3, 83/8, 5/3, -10/3, -1/12, -1, 13/6, 7, -20/3, 31/6, -17/4, 
  -91/12, 35/6, -5/2, 1/12, 5/3, -13/4, -61/4, -5/6, 49/12, -65/6, -5/3, 4/3, 
  7/3, -11/12, 23/12, -21/4, 1/6, 1/2, -53/4, -3/2, -17/2, -4/3, 3/4, -4/3, 
  3/4, 27/8, -4/3, 3/16, -7/8, -3/16, 11/3, -3/2, 1/3, -45/8, -151/24, 23/16, 
  -4, -2/3, 67/8, 5/3, -1, 5/3, 3, 1/2, -7/3, -2, -1/2, 67/12, 17/6, -31/12, 
  -73/12, -55/24, 3/2, -113/24, -1, 17/4, 191/24, -8/3, 1, -5/6, -15/4, 10/3, 
  -1, -41/6, 3/4, 61/12, 37/12, -79/12, -5/6, 3/4, 15/4, -19/6, -1, 5/3, 3, 
  -4/3, -11/3, -3, -3/4, 95/12, 2, 3/2, -67/12, -3/4, 5/6, -2/3, -23/6, 
  -41/24, 67/12, 35/6, -103/12, -10/3, -3/4, 127/12, 3/4, -5/6, 1/6, 5/12, 
  -5/24, -43/12, 7/24, 65/24, -4, 2/3, -5/12, 7/6, 1/8, 1/3, 1, -5/6, -15/4, 
  25/12, -1/6, 15/4, -61/6, 1, 85/12, -1/2, 41/12, -59/12, -25/12, -23/4, -1, 
  -1/2, 3/2, 11/12, -5/6, 3/4, 55/12, -3/4, -15/4, -1/3, -7/6, 13/6, 1/2, 
  1/4, 5/6, -3/4, -1/2, -7/12, -1/4, 1/2, -5/8, 1, 3/8, -5/6, 11/12, 1/2, 
  7/6, 5/6, -25/24, 1/3, -1/6, -7/4, -1/3, 3/2, -5/12, -1/12, 13/8, -9/8, 
  -23/12, 1/12, 1/3, -5/12, -1, -1/4, -5/4, -43/24, -1/2, -7/3, 1, 25/6, 
  -1/12, 10/3, -95/16, 3/4, 9/4, -11/12, 11/2, -1/12, -5/6, 37/4, 5/6, -2, 
  -1/6, -35/8, -15/2, 13/4, -23/12, -9/4, 2, -1, 5/6, -51/8, 1, 19/12, 59/12, 
  7/6, -5/3, -2/3, -3/4, 5/12, 5/6, -1/12, 65/24, 3/2, -1/3, -5/6, 39/8, 
  -139/24, -25/12, 61/24, -77/24, 25/8, -77/24, -9/8, -5/12, -25/6, -1/4, 
  71/6, 3/2, 13/6, 49/16, -1/12, 11/4, -1/12, -67/12, -23/12, 5/12, 1/4, 1/2, 
  -1/3, -2/3, 5/4, -25/24, -15/8, 1, -7/3, 67/12, -17/24, 11/24, 1/3, 1/12, 
  31/12, 1/2, -13/2, 17/12, 2/3, -3/4, 13/12, -1/12, 0, -5/12, 3/8, 5/12, 
  -7/6, 19/24, 0, -1/6, -1/12, 0, -5/6, 3/4, 1/2, 7/12, 1/4, -1/2, 5/8, -1, 
  -3/8, 5/6, -11/12, -1/2, -7/6, -5/6, 25/24, -1/3, 1/6, 7/4, 1/3, -5/12, 
  5/6, -3/4, -1/2, 1/3, -7/12, -1/4, 1/2, 41/24, -5/8, 1, -11/4, 3/8, 9/8, 
  5/12, 0, 1/6, -5/12, 7/24, 7/3, -2/3, -1/12, -31/24, -29/12, 13/8, -23/24, 
  -9/8, -1/3, 1/3, 5/12, 1/24, -1/6, 19/24, 43/24, 7/12, -1/3, 1/3, -3/8, 
  5/12, -3/4, -1/3, 41/8, -3/2, 1/2, 29/8, 29/6, -59/24, -7/6, -149/24, 
  -37/8, -7/8, 53/24, 9/8, -5/4, 5/6, -77/24, 35/12, -5/8, -67/12, 3/4, 
  113/24, 32/3, -19/4, 19/12, -7/12, -3/2, 7/6, 23/24, -61/12, -13/12, -1/4, 
  5/24, 1/3, 1/12, -1/12, -41/4, 15/8, -15/4, 59/24, 49/24, 1/24, -31/12, 
  -1/3, 4/3, 27/4, 11/4, 23/6, -7/24, 11/8, -9/4, -53/12, -11/12, 5/6, 3/2, 
  27/4, -3/8, -2, 17/12, -19/24, -25/6, -71/12, 17/12, 8/3, -1, 5/3, 3, 
  -13/12, -41/12, -19/12, -1/2, -7/12, 67/12, 1/12, 25/8, -3/8, -9/8, 5/6, 
  -2/3, -23/6, 7/3, 47/12, 13/12, -133/24, -17/12, 7/12, -5/6, 1/6, -5/2, 
  -7/6, 11/8, 2/3, 7/12, 13/12, 11/12, -25/8, 7/4, -37/24, 8/3, -49/8, -1, 
  1/3, -11/4, 1/12, 11/24, -17/12, 2, 7/4, 7/12, -19/24, -7/12, -7/6, 1/2, 3, 
  -73/24, 19/24, 7/12, -31/12, -7/12, -1/2, -17/2, -13/6, 3/2, -1/12, 77/6, 
  2, 53/24, -77/24, -13/8, -5/6, -13/12, 133/12, -11/12, 5/6, -3/8, -39/4, 
  1/4, -7/2, -1/4, 5/6, 23/12, -7/4, 43/12, 133/24, 1/6, -2/3, 7/6, -15/4, 
  1/2, 17/2, 7/12, -15/8, -17/12, -179/24, 3/2, 2, -13/24, 5/4, -185/12, 
  43/12, 29/24, 163/12, -25/12, -37/12, 17/3, -37/24, 11/6, 19/12, 3/8, -3, 
  15/8, 25/12, -8/3, 19/6, -11/12, -1/2, 5/6, 3/2, -5/12, -2/3, -11/6, -3/2, 
  1/24, 95/24, 1, 3/2, -67/24, -9/8, 5/12, -1/3, -23/12, -4/3, 7/24, 31/12, 
  25/12, 11/6, -5/4, -15/4, -3/16, 59/12, 9/16, -5/12, 1/12, 49/12, -15/8, 
  -5/3, -49/6, -53/12, -1/16, 1/3, -53/12, -11/12, 95/12, 2, -1/2, 5/4, 9/8, 
  -31/24, -25/12, 15/8, -3/4, 1/4, 1/2, 3/4, 91/24, 5/6, 1/12, -91/24, -3, 
  -4/3, 55/8, -5/2, 1/8, -77/12, -29/6, -5/3, 1/3, 23/6, 19/2, -31/12, 1/6, 
  3/2, -1/6, -127/12, -2/3, 1, -5/4, -27/8, 37/12, 31/24, -3/8, -85/12, 
  -15/8, -3/2, 49/12, 15/4, -11/6, 1/24, 173/24, -1/2, -41/12, -37/6, 1, 
  -5/6, 3/4, 15/4, 1/2, -3/4, -79/12, 1/3, -4/3, 5/2, -5, 5/2, -2/3, 1, -1, 
  1, -15/4, 3/4, 1, 16, -32, -48, 2, -1, -16/3, -8/3, -10/3, 1/3, -2, 1, 
  -8/3, 2/3, 4, -71/16, -35/16, -21/4, -2, 21/2, 2, -79/12, 11/2, -11/2, 0, 
  -7/8, 7/8, 0, 9/4, -3, 0, 3, -11/4, 4, -4, 24, -177/4, 72, -15/4, 5/2, 
  -81/4, 5/2, -2, -5/12, -1/3, -8/3, -7/6, 5/3, -11/6, -1/4, -4/3, 1/3, 
  13/12, 5/3, -4/3, -11/6, 1/3, 5/6, -1, 0, -2, 2, -7/4, 5/6, 1/3, -5/6, 
  35/12, -1/2, -7/6, 5/3, -5/3, -1, -7/3, 0, 0, 15/4, -1, -3/2, 2, -11/3, 
  14/3, -4, 3, -3/2, -1, 5/3, 3/4, -11/3, -2, -5/3, 3/2, 1, -123/4, 0, 31, 0, 
  185/4, -1, -2, 1, 3, 1/2, 96, 0, 0, 0, 0, -17, 17, 17, 0, 2, 0, -6, -4, 2, 
  -5/2, -17/2, 0, 151/6, 1/4, -4, 4, 4, 3, -1, -2, -2, -1, 1, 0, -9/4, 0, 3, 
  0, 97/8, -2, 0, 2, -4, 16, 24, 28, 61/18, -2/3, -21/2, -83/18, 2/3, 46/3, 
  -2/3, -21/2, -74/3, 2/3, 21, 0, -1, 0, -563/24, 58/3, 653/24, -4, -8, 2, 
  41/3, 701/48, 3, -782/9, -3/2, 67/3, 3371/36, -38/3, 29/3, -161/12, 3/2, 9, 
  -6, 563/48, 0, 563/48, 7/3, -365/48, -6, 48, -4, 4, 1/3, 6, 14, -25, 6, 16, 
  -27, 2, 35, 37, -4, -5, -4, -32, -27, -2, -2, -6, -61/2, 9, -37/2, -24, 
  -47, 4, 43/2, 87/2, 2, 33/2, 16, 10, -33/2, -1, -35/6, 13/2, -59/6, 367/32, 
  87/32, -3/2, -13/4, 16, 1/2, -139/12, 31/8, 2, 21/4, 1, -409/24, 17/8, 
  -1/4, -17/4, -9/2, 39/4, -33/2, 1, 11/6, -279/16, -35/32, 39/2, 123/16, 
  27/8, -41/16, -27/8, -7/6, 1/2, 14/3, 1/4, -11/4, -14/3, 1, 11/4, -3/4, 
  125/24, -15/4, 2, 17/6, 7/2, -383/24, -77/24, -1/4, 37/12, -9/2, -8/3, 
  -49/8, 1/4, 25/8, -7/6, -67/16, -409/96, 177/16, 485/48, 8/3, 1/3, -77/24, 
  -1/6, 13/3, 7/3, -14/3, 11/6, 7/6, 91/8, -1/2, 7/3, 37/6, -61/6, -17/3, 
  8/3, 1/24, 11/12, -5/4, -1/4, 13/3, 8, -7, -8, 8/3, -29/6, -8, 59/12, -2, 
  1/2, 1/12, -5/2, 1/4, 3/2, -1/2, 1/2, 1/2, -5/12, 1/3, 5/6, -11/12, -2/3, 
  1/6, 11/6, 5/12, -1/3, -5/6, 5/12, -5/12, 5/12, -1/12, -5/12, -1/12, 5/4, 
  -11/3, 17/6, -2/3, -131/24, 34/3, -37/8, 95/12, -10, -5/6, 5/6, 13/48, 
  19/16, 3/4, 7/8, -2/3, -19/48, -9/16, -25/12, 11/4, -145/48, -4/3, -25/8, 
  5/3, -1/2, 43/48, -11/12, -5/4, 37/12, 1/6, 5/12, 5/6, 7/48, -23/48, 13/24, 
  -5/2, 91/48, 19/16, 13/6, -11/6, -2/3, -143/24, 247/48, -23/12, 59/6, 
  -281/48, -55/24, 14/3, 47/6, -43/12, -5/12, 5/6, -13/12, 1, 1/6, -13/4, 2, 
  -5/2, 5/6, -1/3, -97/16, 53/24, 13/6, -2/3, 161/48, -2/3, -115/24, 7/12, 
  -17/6, 77/24, -5/2, 827/48, 5/3, 73/12, -125/16, 65/8, 11/6, 7/12, -425/24, 
  15/8, -7/12, -6, -15/8, -5/6, 5, 17/8, 25/24, -2/3, -5/24, 7/12, 25/3, 
  93/8, -37/6, -185/24, 145/24, -7/3, -9/4, 7/2, -3/4, 5/4, -3/4, -5/4, 5/8, 
  -1/2, -5/24, -1/2, -5/8, 5/24, 3/4, 23/8, 29/8, -15/8, -7/24, 1/24, 15/8, 
  -155/24, 25/24, 7/3, -9/2, 287/24, -41/3, 149/24, 7/3, -41/4, 53/6, 17/12, 
  7/8, -23/12, 23/3, 25/3, 2/3, -3/4, -3/8, -17/3, -49/6, -3, 3/2, -5/24, 
  35/6, 5/24, 23/12, -287/24, -137/12, 1/4, -1/2, 77/12, 85/4, -7/4, -127/24, 
  103/24, 89/8, -1/2, -401/24, -193/24, -1/8, 0, 3/8, -1/4, 0, 0, 1/4, -3/2, 
  1/3, 0, 7/2, -5/9, 0, -47/24, -1/36, 19/12, 0, 3, -1/2, -13/6, -19/6, 13/6, 
  -43/72, 19/12, -4, 1, -2/3, 1, 0, -1, 4/3, 3/8, -11/6, -1/2, 3, -3/2, -1/3, 
  13/8, -1/2, 1/2, -1/2, 1/6, 0, 167/6, 6, 41/4, -16/3, -76/3, -1, -77/4, 
  -38/3, 16/3, 45/2, 4/3, 169/24, -11/6, -1, -19/3, 0, 89/6, 1/6, -7, 85/8, 
  41/8, -41/6, -53/8, 1/2, 1/2, -2, 73/12, -13/2, 377/12, -991/12, 317/8, 
  389/2, -303/4, -45, 23/12, 43/6, 14/3, 28, -12, -43/6, -1, 11/2, 1, 0, 0, 
  5, 123/4, 13, 15, -55/2, -369/4, -123/2, 37, 61, 0, -29/2, -105/4, -16, 
  -47/4, 0, 191/4, 8, -43/2, -3, -35/4, 3, -31/4, 3, 0, 29/4, -17/3, 0, 1/2, 
  8/3, -187/6, 0, 0, 23/4, 0, -23/4, 7/4, 51/4, -193/12, 21/4, 5/4, -8/3, 
  10/3, -9/8, 1/2, -235/12, 67/12, -41/4, 19/6, 7/6, 5/6, 13/3, -1/2, 37/6, 
  59/12, 49/4, 23/6, -1/2, 22/3, -10/3, -37/3, -665/12, -49/6, 100/3, -77/3, 
  9/4, -19/6, 433/12, 8/3, 4/3, -14/3, 70/3, -7/6, 19/18, 11/18, 13/9, -1/72, 
  0, -67/36, -11/9, -46/3, 17/9, -1/2, 43/3, -1/2, -13/6, -19/9, 7/3, 19/9, 
  -5/9, -1/9, -40/9, -143/36, 23/18, -35/36, -11/9, 5/6, 3/2, -101/6, -31/9, 
  -71/6, 7/18, -181/18, 47/6, 1067/72, 8, -335/72, 175/12, -89/8, -239/4, 
  297/8, 45/2, -911/36, 401/6, -109/4, 650/3, -583/6, 697/3, -451/54, 
  4663/216, -116/9, -47/72, 84163/43200, -7169/360, -2425/162, 29/216, 
  2275/24, 181/216, -97939/480, -55/72, 156677/1440, -47/72, -10967/80, 
  -14609/80, 2/45, 1059701/4800, 913471/4800, -4616147/43200, 20359/80, 
  98489/1080, -3027173/14400, -344111/3240, -551/6, 607/12, 0, -703/6, 1/2, 
  -2, 1/2, -83/36, 1/3, 23/3, -1/3, -21/4, 457/72, -25211/240, 18/5, -179/12, 
  263311/4800, 47/8, 12197/80, 3367/40, -146637/1600, -4411/40, 215/72, 51/2, 
  6, -121/4, -10, 217/8, 4277/80, -104/15, -95037/1600, -5633/120, -473/6, 
  -41/2, 487/12, -97/2, -344/3, 32/3, 55/6, -17/6, 6, 32/3, -70/3, 16/3, 
  23/12, 2/3, 16/3, -85/12, -451/24, -3/8, 277/24, -105/8, -25/12, -44/3, 
  -91/12, 1/6, 215/4, 941/24, 75/8, 16, 7/6, -97/2, -20/3, 10, -30, 27/4, 11, 
  -8, -19, -7/8, -229/24, 115/8, -247/24, -3/4, -211/4, -165/4, -9/2, 197/4, 
  85/8, 15/8, 325/4, 191/4, -35/4, -141/4, -10, -10, 40, 10, -30, 20, 10, 
  -40, -10, 5/4, -25/12, -53/48, 5, 223/72, -29/12, -11/4, 41/3, -85/12, 
  409/12, -1327/72, -1205/48, -145/24, 5, -121/24, 155/8, -2239/144, -583/32, 
  -43/12, -361/72, -419/24, 67/6, -5317/432, 22, -91/4, -1553/72, 17, 182/15, 
  617/20, 3761/216, 8/3, -833/32, -70751/960, -2477/54, 3869/320, 8237/576, 
  -163/192, -25571/720, -2965/72, 7/24, 53789/720, 3413/32, -6007/576, 
  3781/144, 1/18, -52375/864, -109/24, 61/6, 1459/40, 1199/54, 8/3, 
  -2153/120, -405053/2880, -10097/216, 1279/960, 13319/192, 307/192, -692/15, 
  -2053/72, 7/24, 109069/720, 10079/96, -44131/576, 3823/144, 1/18, 
  -49819/864, -109/24, -2039/480, -223/32, 191/24, 809/80, 223/32, -563/96, 
  35/6, 20/3, 215/6, -27/8, 509/96, 99/8, 1421/96, -347/72, -39/32, 1/36, 
  -53/6, 50/3, -76/3, 1/18, -88/3, -12, 88/3, 4, 8, -670/27, 8519/108, 
  -5491/72, 41/18, -1915/12, 957/4, -2554/81, 103/18, -152/3, -12, -29/2, 
  64/3, 53/6, -1283/36, 2701/48, 99, -2298751/21600, -127/3, -10325/48, 
  -4138/45, 3506551/21600, 6703/45, -205/36, 523/6, 4, 47/3, -97/2, -29/3, 
  -73/2, 8, 149/6, 5/6, 7/6, -29/12, -6, -3/4, 3/2, -1/2, -5/3, -1/3, 23/3, 
  5/18, -11/12, 6, 3/2, -1/3, -1/18, 5/3, -4/3, -2/3, -5/6, -5/2, 19/12, 
  15/4, 5/3, 11/6, -25/6, -3/2, 0, 2/3, 4/3, 5/6, -3/4, -3/2, 1/3, 1/6, 
  -5/12, 1/4, 7/6, -29/6, 6, -1/4, -55/12, -65/6, -5/3, -1/2, 26/3, -5/6, 6, 
  -7/3, -9/2, 2/3, 2/3, -1/6, -7, 2, 4, 17/6, 23/3, 89/6, 29/24, -1/4, 
  -29/12, 0, -19/12, -19/4, -9, 1/2, 3/2, -1/6, -1/2, -1/4, -41/12, 2, -15/2, 
  7/3, 43/3, 76/3, -55/3, -29/3, 11/8, -35/12, -7/4, 49/3, -37/6, -175/6, 
  -55/6, 13/4, 7/6, 37/2, -1/12, 9/4, 17/6, 3/2, 10/3, -11/2, 4, 11/4, 13/3, 
  41/6, -5, -5/12, 7/24, 19/6, -1, 1/3, -1/24, -31/6, 1, 7/12, 23/4, 2, -1/2, 
  -17/3, 5/6, -17/6, -4/3, -25/3, 41/24, 331/24, 3/2, -5/8, -47/3, -55/12, 
  -3/4, 107/24, 16, -29/12, -151/24, 57/16, 1/3, -83/12, -113/24, -1/4, 
  -31/6, 9/4, -4/3, 37/12, -9/4, 11/6, 25/12, 5/12, 25/12, -1/12, 3/4, 
  -199/48, 473/48, 15/4, -3/2, 3/4, -95/48, -1/3, 2, -4, -13/12, 4, -11/12, 
  -13/6, 3, -539/96, 1/6, 1/2, -1/2, -1/2, -9/4, -23/40, -653/108, -71/9, 
  653/120, 102889/2880, 13829/432, 59/9, -4519/960, -41213/2880, -13/36, 
  797/192, 37/4, 21/4, -277/108, 239/36, -9061/288, -5881/96, -64/9, 
  30193/2880, 53/9, -41/4, -17/3, 31/36, 21773/864, -7/9, -253/36, 7/3, 7/12, 
  -97/36, -29/4, -14, 14/9, 41/12, -11/3, -23/36, 5/72, 3/4, -43/36, 119/12, 
  -7/9, -2/9, 10/3, -1/4, 17/9, 2, 32, 12, 1/3, -56, -12, -35/3, 24, 20/3, 
  293/54, 83/60, -359/20, -2, -1039/108, 58259/2400, 691/30, 79/36, 
  -127637/7200, -79/36, -5/4, 1487/60, 46/9, -1417/480, -2309/120, 
  71717/8640, 2/3, -94/27, 2903/180, 2317/324, -49/24, -32, -4, 9/4, 60, 1, 
  -7/3, -30, 2, -8, 1/4, 6, -3, 1, -5/3, -3, -5/12, 4/3, 11/3, 3, 7/6, 
  -95/12, -2, -3/4, 67/12, -5/6, -1/3, 11/2, 3, 5/3, -5/6, -23/6, -3/2, 1/6, 
  2/3, -1, 5/6, 15/4, -25/12, 1/6, -15/4, 119/12, -1, -41/6, 3/2, -17/4, 
  -15/4, 1/2, 41/12, -1, 5/6, -3/4, -55/12, 3/4, 15/4, -1/2, 3/4, -1/3, 5/6, 
  19/6, 3/4, -1, 5/3, 1/3, -13/2, 9/2, 5/18, -29/2, -10, -5/3, -5/2, 143/24, 
  -4/9, 11, 3/2, -17/6, 0, -2/3, -5/6, -3/2, 13/4, -37/24, 5/3, 4, -11/3, 
  -3/2, -11/6, 2/3, 4/3, 0, -19/12, -3/2, -7/6, 1/6, -5/6, 3, -73/12, -8, 
  3/2, 3, 15/4, 22/3, 7/3, 1/4, -79/6, -11/2, -5/2, 9/4, 5/3, -5/2, 31/6, 
  49/3, -7/3, -31/6, -25/3, -3/2, 82/3, 13/6, 1/6, 2/3, -22/3, 1/6, 17/6, 
  -43/3, -1, -7/3, -1/3, 4/3, 1/2, -13/4, 11/12, 23/2, -31/6, -19/3, -31/12, 
  59/12, 173/12, -13/12, 11/6, 49/6, -83/6, 17/4, -11/6, -155/12, -43/6, 
  -2/3, 13/6, 3, 19/12, 31/6, 5/4, 0, -23/4, -29/12, -65/12, -11/6, 5/3, 7/6, 
  -2, 3/4, 3/4, 1/4, -5/6, -7/6, 113/24, 2, 5/6, -7/12, 109/24, 11/8, 1/6, 
  -3/16, -7/8, -13/4, 19/8, 9/4, 5/3, -35/12, -37/12, -5/12, -257/96, -39/4, 
  -73/48, -149/48, -107/24, -5/6, 1/12, 1/4, 419/96, 23/48, 1, 1/3, 0, 31/16, 
  -247/24, -259/24, -25/48, -781/48, -3/2, -145/24, 83/24, -2/3, 3/4, 
  -205/32, 119/6, 3, 121/16, 259/24, -1/4, -29/96, -91/48, -1/3, -5/12, 
  181/48, 181/24, 25/3, -139/48, -1/4, -5/3, 209/48, -35/3, 19/12, -31/12, 
  -75/16, 19/6, 23/4, -11/24, -109/20, 931/36, 7/6, 131/60, 2595/64, 
  -8431/144, 4399/960, -189179/2880, -521/192, 11/12, -1031/216, 13/12, 
  -27901/1440, 6761/96, 68713/960, 33/8, 185/36, 889/288, -11/2, 124/27, 
  -53479/360, -373/20, -6, -436/27, 575413/2400, 32/5, 1085/72, -703259/7200, 
  -269/72, -5/6, 5621/40, 325/36, -27551/160, -2299/15, 4440517/43200, 3/4, 
  -143/54, 56413/360, 2317/324, -5/12, 7/6, -41/24, -3, 7/12, -83/24, 1/12, 
  15/4, -9/4, 97/48, 73/16, 23/8, -51/16, -33/16, -5/8, 4/3, 23/6, -17/3, 
  445/48, 43/24, 169/12, 13/48, 33/8, 17/24, -1/6, 175/24, -41/16, -157/12, 
  -2/3, -25/8, 5/12, -5/2, 4, 15/4, 35/8, -253/48, -431/48, -23/8, -149/12, 
  -7/3, 5/8, -11/8, -83/24, 239/48, 79/8, -5/24, -11/12, 5/3, -323/48, -1/8, 
  4/3, -5/8, -33/4, 83/16, 145/12, -7/24, -5/24, 167/24, -487/24, -49/24, 
  -5/3, 3/2, -193/16, -2/3, -5/6, -9/4, -1, -6, 37/12, -3/2, 1, -79/16, -9/4, 
  5/3, 25/6, 31/12, 41/3, -1/2, 17/12, 185/48, -3/2, -19/12, -3, -209/24, 
  1/2, 2/3, -1/3, 5/12, 1/2, 131/12, -13/12, 43/4, 95/12, 13/12, 2/3, -1/3, 
  -127/6, 4/3, -221/12, -10, -1/3, 47/4, 1/4, 7/24, 19/12, -32/3, -13/4, 8/3, 
  4/3, -9/4, 17, 59/12, 2/3, 1/4, -1/4, -1/4, -1/4, 21/8, 41/30, 77/27, 
  61/12, -593/120, -74689/2880, -6713/432, 3919/960, 4853/2880, -7, 67/192, 
  -11/2, -859/216, -25/6, 8071/288, 14147/288, -7/3, 4187/2880, 14, 235/24, 
  341/36, -18713/864, 14/3, -7, -15/2, -7/3, -23/4, 65/12, 61/6, -29/16, 
  61/6, -13, -22/3, -65/12, 22/3, 1, 15/2, -123/8, 19/6, -45/4, 431/24, 
  31/12, -3/2, 41/12, 79/24, -35/9, 61/12, 311/12, 37/4, 111/8, 16, -35/3, 
  -179/18, -17, -17/16, 643/54, 3539/120, -941/120, -185/12, -3701/108, 
  -73259/2400, 123/10, 131/6, 115937/7200, 7/9, 1921/24, -358/15, 89/36, 
  -7181/160, 193/40, 10723/8640, -2857/24, 385/108, 2677/180, 1223/81, 35/9, 
  -55/9, -71/3, 11/4, -101/18, 625/36, 337/12, -11/4, -83/12, 5/2, 67/36, 
  -5/4, -27/2, 1, 34/3, 5/3, -23/12, 3/2, -19/6, -1/6, 215/24, 37/24, 3, 
  265/24, 211/24, 55/6, -31/6, -19/2, -271/24, 5/8, 11/8, 343/24, 51/16, 
  43/12, -45/4, -307/12, 7/12, -811/24, -281/8, 26/3, 65/4, 139/24, -533/48, 
  -61/6, 137/12, -4/3, 715/24, 83/12, -19/6, 45/4, 29/12, -37/24, -14/3, 6, 
  49/4, -25/4, -15/4, -13/6, -155/12, 17/6, -1/4, 29/12, 343/48, -22, -271/8, 
  -371/24, -55/6, -26/3, 68/3, 74/3, 73/3, 151/6, -26/3, -523/24, -73/24, 
  3/4, -19/12, -35/3, 6, 869/24, -209/24, 133/6, -173/12, 4/3, 37/4, -4/3, 
  5/6, 1/6, -13/4, 9/4, -5/6, -19/12, -7/6, 2/3, 3/4, -3/4, 1/12, -3, -5/3, 
  5/6, 25/6, 7/2, 1/6, 1/2, -7/3, 7/2, 37/60, 557/108, 31/18, -533/120, 
  -87889/2880, -4379/144, -7/18, -1961/960, -547/2880, -19/54, 67/192, -49/6, 
  671/216, -179/108, 7777/288, 45025/864, -1/27, 16007/2880, -1/24, 25/3, 
  35/54, -17417/864, 4/3, 85/216, -11/3, -49/54, 8, 22/27, 335/36, 27/4, 
  -407/36, 71/216, -95/9, 137/108, -77/36, 44/27, -221/12, 14/3, -9/2, 
  2191/108, 311/36, -161/108, 73/6, -19/3, -115/12, 1/4, 877/216, -2809/60, 
  13/5, -2239/216, 53659/1200, -13/5, 101/9, 6763/3600, -185/36, -541/108, 
  437/144, 5003/120, -7/9, 370/27, -82447/960, -799/60, -118/9, 56525/1728, 
  175/36, 5/6, -103/3, 289/108, 36031/480, 1729/18, -946259/21600, -1/3, 
  2071/162, -5701/90, -2317/324, 101/72, 28781/240, -409/15, -3, -16, 
  -80983/400, 69/2, 153/8, 102697/960, -7, 331/36, -21569/80, 233/30, 
  29779/960, 312217/1600, -89537/2880, 23/12, 28529/360, -4469/240, 463/216, 
  -280/3, 131/2, 277/6, 235/4, 7/24, -1/3, 2113/24, 545/12, -290/3, -307/8, 
  -1403/12, 499/3, 73/12, 62, -1/4, -1/2, 53/6, -7/2, 20/3, -9/4, -115/12, 
  -5/6, -28/3, -59/48, 265/24, -143/24, 75/8, -139/24, -87/16, 25/6, -117/4, 
  -4/3, -8/3, -85/12, 527/24, -4/3, 23/3, -301/12, 43/12, -47/6, 85/4, 23/6, 
  34, 201/8, 105/16, 13/2, 7/6, -24, -7/3, -83/12, -3, -77/6, 103/12, 83/6, 
  -11/6, 1/4, -47/6, -83/12, 319/12, 25/12, 11, -29/3, 23/12, -383/12, 
  -443/12, 47/12, -65/12, 69/4, 55/12, 107/12, -31/4, 31/12, -25/6, -58/3, 
  -13/4, -23/4, 59/4, -9, -9, 9, -31/24, 46/15, -161/72, -185/24, 1663/120, 
  3437/192, 9685/432, 217/24, -23947/960, -62621/960, -2405/54, 2821/320, 
  544/45, -17/96, 11/4, -2093/432, 29/3, -61991/1440, -30617/864, -101/8, 
  45367/576, 8273/72, -8129/720, -185/24, -727/72, 11989/288, 815/72, 
  -7037/108, 43/6, -295/24, -31/15, -2569/192, -229/24, 6, 181/20, -553/96, 
  331/24, -403/20, 4027/192, 209/12, 15131/1440, 6325/288, -69/8, 
  -27251/1440, 3215/288, 4241/480, -3565/288, -25/4, 4583/288, 71/24, 
  2309/192, 4057/192, -15/2, -277/192, 967/192, -49/4, -11213/576, -217/24, 
  15/64, 415/144, -2069/192, 3/2, 1/192, 869/96, 203/108, -20/9, 2, -491/108, 
  -4/3, -2, 31/36, 32/9, 65/36, -481/54, -16709/720, -1183/40, -25/6, 
  6689/216, -278977/16200, 207/10, -3959/144, 700559/32400, -23/24, -2111/24, 
  -1189/540, 227/18, 89699/1440, 21503/1080, -3574847/129600, 3071/24, 
  -215/54, -32233/540, -1574/81, -103/54, 295/18, -4, -6, 101/12, -305/12, 
  -19/3, -82/9, 155/36, -1/4, -85/6, 1/3, 15/2, 383/36, -4, 137/12, 5/3, 
  -3/2, -15/2, 40, 176/3, 357, 35/6, 22/3, 1, -14/3, -4/3, -13/3, 6, 119/2, 
  593/12, -51/4, -95/2, -137/12, -43/8, -65/6, -539/24, -9/2, 48, -185/2, 
  144, -87/2, -147/4, 87/2, -9/2, -39/8, 57/8, 0, 81/2, -321/4, -189/2, 
  -189/2, 4, -175/2, 51/2, 189/2, 197/4, -27/8, 27/2, 45/8, 0, 1/2, 1, 3, 
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  -5/6, 2365/2, -45, -2019/2, 87, 1323/2, -144, -2365/2, 1611/2, 858, 
  -1323/2, -1611/2, 57/2, 69, 15/2, -519/4, -213/2, 405/4, -165/2, -93/2, 
  165/2, 1139/15, 239909/1200, 56/3, 88993/90, 102074/81, -99/8, 99/8, 99/8, 
  99/8, -179/16, 48, -2939/15, -144, -239909/1200, 96, 103207/240, 4739/20, 
  -1393/200, -172081/240, -8963/60, 715103/1200, -308633/144, -4977/16, 
  31531/20, 6319/10, 1739/30, -1927101/800, -1276651/2400, 2019983/2400, 
  -170233/120, -11807/20, 64484/75, 22163/180, -336767/120, 4253/60, 
  5020127/1440, 16436657/4320, 3955151/2592, -317/36, 16/3, 2939/30, 169/6, 
  75703/800, -73/4, -202877/120, -12593/20, 1814159/2400, 2089/10, 60931/120, 
  2297/12, -174337/480, 1585339/360, 1935/8, 1/3, 1, -11/2, 9/8, 1/3, -1, 
  -563/24, 1/6, 551/48, 8/3, -20/3, 16/3, -20/3, 20/3, 0, -1/2, -2, 107/3, 
  -14/3, 1/2, 31/2, -17/12, 0, 51/4, 21/2, -99/8, -51/8, 189/8, 107/2, -53, 
  107/2, 99/2, 25/6, -239/6, -81/2, -25/6, -107/2, 103/3, -141/2, 39, 56/3, 
  -8, 8, -5/3, 5/3, 2, 10, -12, -10, 4/3, -61/3, 14, 7, -4, -10, -7, -3, 
  431/24, 2693/48, -5153/48, -1325/24, -169/2, 1/6, 1/3, -11/6, -79/16, 1/2, 
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  -2791/24, 97/8, -169/6, 5/6, -11, -55/8, -44/3, -71/8, -3/4, 11/6, 2/3, 
  5/3, -5/2, 299/24, 29/12, -3/2, -7/2, 217/12, 315/8, -2557/60, -31/3, 
  14681/40, 82/3, 245/8, 263/24, 21/2, -561/8, 17/12, 1807/24, 31/3, -71/2, 
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  70921/288, 26/3, -16579/72, 0, -29/6, -19325/288, -41/16, 3095/72, 89/16, 
  5/6, 179/2, 17/6, 229/2, -3/8, 0, 16, -65/2, -95/2, 0, -1/2, -3/8, 0, 12, 
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  -5195/72, 9649/60, -151577/480, -176677/480, 9649/60, 50171/480, -353/96, 
  -8273/48, -14967/160, -45889/288, -28, 55919/480, 4159/12, 15299/90, 
  -10603/48, 413671/1440, 6547/16, -165997/480, -591793/720, 64477/480, 
  -13597/240, 3909/32, -8081/48, 843/10, -7961/32, -31, -6077/160, 4015/12, 
  8233/30, -10043/48, -353489/1440, 21763/48, -47941/240, -623563/720, 
  -36629/240, 11/2, -4, 144, 579/2, 144, -1863/4, -4225/8, -873/16, 
  260539/480, 7889/16, -2671/120, -309/20, -51957/160, -1953/4, -3003/160, 
  -26543/160, -447/32, 51083/240, 216379/480, 5031/20, -777/40, -214991/480, 
  -34687/160, 39073/240, -224/5, -18419/12, -900173/400, -599837/2400, 
  10021/3, 1034893/400, -16633/12, -7085/36, 8977/5, -16943/12, 3427/6, 
  -3030649/1200, -1003/4, -33989/10, 18743/6, 3861349/1200, -15683/12, 
  -133733/120, 1531049/900, -23666/15, 21791/12, 5/3, 83/24, 117/4, 33/4, 
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  -439/24, -14, 25/6, 251/16, -15/4, -2/3, 5/6, -599/24, 7, 1297/48, 2539/48, 
  -269/48, 1/4, 71/8, -877/48, -25/3, -13/2, -73/8, 227/48, -85/12, -3/2, 
  11/24, 109/20, -959/36, 23/12, 3/4, 671/216, 14, -139/24, -217/18, 11/2, 
  -248/27, 1849/54, -110/9, -491/18, 0, 26911/80, -3835717/21600, -1/6, 
  -54253/180, -2317/162, 53479/180, -608113/1200, 757559/3600, -50699/180, 
  4058/15, 146/27, 373/10, 38/15, -160/9, 12, 43/6, 5/6, 15/4, -25/9, 
  -235/36, -3, 215/72, 5/6, -5/24, -43/6, -175/18, 11/2, 15, -107/24, 
  -149/24, 80/9, -5/4, -5, -25/8, -15/4, -35/8, 41/2, 21/2, 129/4, 97/4, 
  305/24, -67, -337/12, 53/4, -13/6, -267/8, -241/3, -365/4, 149/6, -229/8, 
  107/12, 1217/24, 83/4, 167/16, -267/16, -149/2, -359/16, -78, 45, -155/6, 
  2489/32, -49/4, 847/48, -169/16, 157/2, -13, 169/16, -41/12, -8, 131/12, 
  -1/6, -15/2, -115, -1135/12, 181/4, 83, 151/2, 9/4, 3, -37/3, 385/4, 
  4657/24, -241/2, 1, 7, -371/4, 1/2, 65/4, 749/6, 70, 451/24, 479/24, 
  -1381/8, -367/4, -673/4, 233/24, 93, -1879/24, -193/4, 1885/24, 2659/24, 
  223/12, 5/12, 1256/3, 859/2, 269/2, -413/12, -1067/2, -667/2, 401/6, 223, 
  -19/2, -13/4, -503/4, -103/2, -193, 515/4, 8, 2, -603/2, 117/2, 1/2, 
  -1256/3, -2741/12, -79, 1037/3, 209, -100, 509/4, -567/4, -209, 593/2, 
  -2413/12, -113/2, 31/2, 855/4, 1, 9/2, -21/2, -7, -77/4, 33, 42, -17/2, 
  -38, 121/4, -8, 50, 33/4, 241/4, -32, -29/2, -147/8, -183/4, -40, 175/8, 
  13/2, 33/2, -19, -31, 38, -207/4, -97/4, 33, 181/4, -17, -7/2, 17, -6, 
  -127/12, 221/8, -19/2, 73/18, -221/8, 121/2, 235/36, -136/3, 335/12, 79/36, 
  -7/2, -4315/144, 89/24, -2717/144, -367/18, 19/6, 1619/72, -11/18, 7/2, 
  -3/2, 152/9, -272/3, 95/8, 1121/12, 439/24, -67/36, 107/12, -635/36, 
  629/24, 91/18, -5165/96, 689/144, 28/3, -169/108, -49543/120, -6403/30, 
  -80, 3349/108, 863821/1200, 6403/30, -4115/72, -1063973/3600, 1931/72, 
  -7727/80, 128513/120, 21283/180, -413589/800, -1328321/1200, 8063321/43200, 
  40567/240, -51697/135, -2420173/14400, -156443/1620, 28513/60, 205/3, 
  -1039/12, -320159/480, -41/6, 208057/960, -416851/720, -87617/240, 
  2632937/960, 81029/432, 3511/16, -2725/4, -2723/12, 429523/1296, 357/2, 
  -10, 85/4, 33/2, -5/8, -187/4, -131/6, 49/2, 251/12, -105/8, 95/4, -169/4, 
  -33/2, -185/16, 83/2, -517/48, -69/4, 21, 1145/48, 7/2, -3, -47/4, 61/4, 
  47/4, -49/4, 8, 47/4, -517/32, -5, -35/4, 35/4, 35/4, 1/3, 79/24, -1/12, 
  -199/24, 20/3, -3727/288, 71/24, 353/24, -31/4, -169/144, -661/96, 1/24, 
  -88/3, -12, -629/72, 316/3, 24, 493/18, -140/3, -185/12, 88/3, 4, -289/4, 
  16, 307/12, 8, -5/12, 1/2, -19/24, -1/3, -1/18, -62/9, -31/6, -7/18, 23/9, 
  2/3, 413/72, -473/36, -271/72, -86/9, 148/9, 145/72, -5/2, -13/2, -47/36, 
  5/6, 11/12, 57/5, -121/2, -5/2, -7/2, 1103/108, -34/3, -79/12, -185/18, 11, 
  -131/30, -2619/32, 33725/216, 27661/720, -82891/432, -817/144, -14677/1440, 
  169979/1440, -68473/480, 521/96, -1129/27, 2884/27, -8455/144, -1949/144, 
  -1895/8, 3323/80, 44699/675, 8563/24, 9983/360, -17641/324, 5, 139/4, 0, 
  -17/8, 7/4, 91/12, 43/2, -85/8, 605/8, 391/8, -30, -190/3, -99/4, -589/12, 
  0, -9/8, 973/24, 317/12, 331/6, -373/24, -48, 271/24, -105/8, 81/8, -151/4, 
  -24, 385/6, -343/24, 557/24, -207/8, -251/12, -7/2, 107/8, 73/3, 21/2, 
  -2/3, 243/16, -385/24, 25/4, 15/2, -383/12, 79/8, -1/2, 265/16, -7/3, -1, 
  13/8, 83/16, -139/48, -25/3, -37/16, -191/24, -47/6, 145/8, -205/96, 
  -11/12, -196/15, 575/9, 61/3, 41/6, -1463/108, -161/6, 1/4, 287/18, -17/3, 
  38/15, 2067/32, -10231/72, -25021/720, 8953/48, -983/144, 8879/480, 
  -123899/1440, 48553/480, -1801/96, 50/27, -727/54, 173/36, 235/36, 10/3, 
  -81893/240, 4382917/21600, 169/6, 50923/180, -1571/162, -55249/180, 
  575213/1200, -745859/3600, 18403/60, -1706/5, -548/27, -169/5, -58/15, 
  289/18, -15/2, -85/12, -15/2, -61/6, -17/3, 215/8, 241/24, -47/12, -355/24, 
  199/24, -79/12, 55/8, 69/8, -115/6, -101/24, 75/8, -91/4, -73/24, 121/24, 
  -223/24, 29/24, 11/12, 109/10, -1789/36, 1/12, -7/2, 1121/108, -607/36, 
  -79/12, -143/36, 11, -511/180, -7657/96, 10601/108, 27941/720, -53351/432, 
  -865/144, -4259/480, 95317/720, -22811/160, 239/32, 94/9, 100553/360, 
  -2587/60, -20/3, -299/8, -43459/100, 1451/60, 293/8, 3050603/14400, -31/3, 
  65/12, -192421/480, -2647/180, -10757/160, 1286731/4800, 101717/2880, 
  -19/4, 454223/4320, 9791/120, 2605/108, -12271/90, 35689/240, 175/6, 
  457003/2400, -359/24, -207137/2880, 36663/160, -28117/720, -304697/1600, 
  -370243/4320, -1635/16, 2347/48, 705/8, 3679/48, -3223/48, -22/3, 23/48, 
  -7/12, -43/4, 385/48, 905/24, -2207/40, -17/3, 29093/120, -99/8, 239/12, 
  919/96, -5/2, -1453/96, -95/8, 11/12, -187/8, -1463/96, 305/96, 257/24, 
  -127/12, 1085/24, 1811/48, 355/24, 3983/48, 118/3, -405/8, -883/16, 
  -1379/48, 333/4, -6, -77/12, -289/24, 461/12, 169/3, 143/24, -329/60, 
  839/12, 187/6, -161/24, 12583/480, -2529/16, 4333/192, 5087/240, 3167/192, 
  -73/4, 203/72, -217/4, 4237/240, 11345/48, -17413/2880, 881/24, 157/4, 
  -767/18, -163/6, 201/40, -1509/64, -53/4, 20221/960, 33047/288, -28/3, 
  42199/1440, 8231/288, -25999/320, -7217/288, 141/64, -335/64, -1117/64, 
  -11491/576, -373/64, 29/9, 1075/108, -4189/144, 261/16, 1915/24, 
  212371/480, -812159/2880, -955/8, -22553/60, 113/108, 53479/180, 
  -416517/800, 11522659/43200, -50479/180, 32671/90, 551/108, 373/10, 
  -293/60, -55/3, 12, 7/6, 104/9, -20/9, -1463/72, 4/9, 311/36, 11/18, -13/9, 
  -365/12, 937/72, 365/12, -79/9, 0, -365/12, -617/36, 148/3, -109/4, 
  1919/36, 238/9, -24, 1/8, -1/4, 565/3, -583/6, 293/12, 0, 1/18, 2797/12, 
  -1/6, 1/4, -481/24, -29/3, -55/8, -35/12, -361/12, -37/6, 103/12, 103/12, 
  -4/3, 23/4, 1091/24, 347/8, 227/4, 208/3, -47/12, -4, -273/8, -1829/24, 
  -19/8, 111/8, 151/4, 517/24, 69/2, 109/2, -351/8, -411/8, -69/2, 237/8, 
  -139/4, -139/4, 139/4, 283/24, -623/12, -2135/24, -197/6, -547/12, 641/12, 
  152/3, 1165/24, -221/24, -43/3, -1253/24, -65/24, 523/12, -1459/48, -200/3, 
  255/16, 1049/12, 95/12, 91/8, -553/12, -217/20, 10327/192, -4043/288, 
  -80/3, 7469/240, 211043/2880, 712/9, 2497/96, -11749/240, -56, 35269/1440, 
  -20929/864, 19/24, -3449/80, -20233/72, 8431/120, -6419/288, 127/9, 
  7817/72, 427/24, -198973/2880, 3733/32, -59/2, -277/8, 12983/576, 941/12, 
  -133567/576, -679/36, -84347/1440, 18517/288, -22223/720, 2665/64, 1231/48, 
  79475/576, -2279/192, -5357/108, -1811/36, -1397/24, -1187/24, 3544/27, 
  -621/16, 27/2, -3691/36, 138449/21600, 41/9, -50119/144, 3481/48, 2717/24, 
  239101/21600, -380489/21600, -138449/21600, 421303/720, 3697/180, 
  88889/21600, -59677/405, 847/18, 223/6, 407/6, 269/6, -49/6, 214/3, 
  -1745/24, -1663/24, -1655/12, 40, 171/8, -181/8, -1111/12, 167/6, 95/12, 
  391/24, -32927/120, 467/30, -2, -937/18, 919367/2400, -637/30, 1415/24, 
  -838481/7200, -29, 36811/240, 54071/120, -499/45, -1924601/4800, 
  -733111/2400, 1151381/7200, -25507/60, -86219/540, 387257/800, 129737/540, 
  -1577/108, 48541/180, -964/45, 41/3, 7631/270, -407417/800, 40547/360, 
  -30197/1440, 2249213/7200, 547/288, 11/6, -29813/135, -140/9, 13901/36, 
  32243/240, -3859901/10800, -149/12, -1115/54, -74059/240, 599/162, -64/5, 
  -1583/40, -763/36, 203/24, 3041/160, 6073/120, 652/9, -1417/240, 
  -20089/720, 77/48, 32087/720, 17425/432, -223/12, -16807/240, -5153/72, 
  2447/60, -1763/36, -601/72, 269/9, 129/4, -1529/120, -95359/2880, 
  -353147/8640, 16/3, 4159/320, -43993/320, -3719893/8640, -37/2, -74357/240, 
  -5579/192, 8839/160, 74551/720, 67/24, 281843/2880, 1084091/2880, 
  96971/320, 385/96, 2309/36, 18787/864, -1175/24, -9635/288, -215249/1440, 
  -4475/72, 43517/720, 11003/240, -223/6, 73087/480, 56297/480, -24461/288, 
  -49649/360, 1729/360, -1241/72, -83/3, -54071/1440, -3761/96, 389/27, 
  22103/45, -29593/45, -45, -4255/216, -2053757/3600, -36571/360, 2029/72, 
  -114181/600, -20/9, -36437/80, 106061/144, 1075/18, 10195241/21600, 
  13184879/21600, 877567/5400, 8767/144, -18499/135, -14528939/21600, 
  116999/810, -38761/60, 6431/30, -211/6, 5921389/5400, -32723/72, 
  -54619/160, 34747/120, -60847/360, -15370351/21600, 4257/8, 3620/9, 263/6, 
  1757/6, -11479/18, -2089/6, 319/108, -14816/27, 135469/1080, -109/6, 
  1411/60, 2124981/1600, -228709/1080, -307/320, -11645329/14400, 3377/576, 
  6485/48, 313619/720, 1711/36, -22116089/21600, -4675447/10800, 751817/864, 
  -2373/80, 42571/540, 3843721/5400, -98503/1620, -1013/60, -8017/64, 
  32713/144, 31121/480, -79565/288, -421/96, -13059/320, 171869/960, 
  -57973/320, -1015/64, -52447/60, -324821/120, 3277/40, 574803/800, 
  175481/96, -25451/1200, 267593/240, 240733/180, -13573/30, -8423/144, 
  292273/120, -9736061/4320, -891641/480, -386021/360, 1749709/864, 
  -7757/240, 11321/64, 2039/24, 127/15, -17905/96, 283/16, -3473/64, 
  -3025/64, 4193/192, 2707/192, -3143/6, 32431/10, 7043/40, 592663/480, 
  -1011029/480, -791471/1200, 139, -657761/360, -136541/120, 1427/36, 
  -799009/240, 8060081/4320, 852067/480, 1414447/720, -1688473/864, -15/4, 
  321/8, 205/4, 75/4, -51/4, 0, 93/4, -27/4, 1171/2, -445/2, -1255/4, -1233, 
  -305/4, 423, -415/4, 2243/4, 3263/8, -895/2, 660, 787/2, -3643/8, -593, 
  235/8, 5009/160, 1449/8, 5107/24, 4259/120, -895/8, 131197/480, 1327/96, 
  -107117/288, 21101/480, 114221/288, -1657/20, -1065/8, 599/40, 9511/24, 
  799/32, 6697/192, -533407/2880, 136091/960, 533407/2880, -21397/120, 
  206137/2880, -196631/960, -2569/18, 39889/240, -10841/960, 10841/960, 
  3677/120, 18733/20, -1579/40, 91/4, -1830559/1200, 103321/120, 
  12821341/14400, 7001/16, 152/3, 24745/48, 3855/4, -14391/80, 360799/400, 
  -570691/960, 9706/15, -928851/1600, -61543/240, 16771/48, -103/8, -5231/24, 
  149/48, -411/8, 8315/64, -114067/288, -13157/320, -982787/2880, -17133/320, 
  -63887/240, 57133/96, 1042181/2880, -42401/288, -81817/960, -5519/960, 
  -121001/960, 22463/320, 623/64, 53479/120, -323/2, 42389/120, -133319/400, 
  -407913/1600, 250589/1600, -54019/120, -198307/360, 211/4, 1333/36, 
  4349/20, 3418711/4320, 768793/1600, 201277/360, -973391/864, 7517/12, 
  727/2, -9/2, -36429/40, -5399/15, 142587/400, -1767/20, -16411/60, 
  932167/2400, -25663/120, 17971/60, 47/16, -1069/15, -4885/9, -11939/24, 
  -55273/90, -753/80, -11023/36, 1147621/1200, -80747/720, -1265593/3600, 
  40675/72, 29387/72, -40141/80, -16397/216, -1325/48, -145499/720, 
  -21581/240, 187259/720, -2569/48, -16321/240, -3269/16, 28001/144, 
  5339/160, 70157/160, 8575/96, 4985/24, -10381/72, -24073/72, -643/9, 
  18797/480, 470693/1440, 1487/48, -239759/720, 2855/96, 1177/120, 
  141593/960, -2289749/2880, 54391/320, -46561/144, 540593/960, 10661/480, 
  301831/360, 1967369/2880, -11243/96, -215/4, -392, -74993/160, 93523/240, 
  -1411/12, -500819/240, -109589/240, -93541/120, 293345/72, -11200621/7200, 
  -2075417/900, 234101/240, 59191/120, 401821/7200, 77941/180, 1491/10, 
  54193/60, 15029/40, -3885/8, -915/4, -19941/320, 505693/2880, 579581/960, 
  -306007/960, 18427/288, 21271/96, 610739/2880, -80855/576, 193801/1440, 
  -307429/1440, 81137/1440, 122269/960, 1409/48, -256825/576, -28565/192, 
  60073/240, 46501/80, 11597/40, -2158049/1800, 8351819/14400, 599837/4800, 
  9821/48, 25123/360, -10792979/14400, -205651/360, -20141/24, -1739885/864, 
  0, 1740065/864, -13/2, -2188517/1440, 53771/96, -60523/144, 1190687/480, 
  -369233/480, -4133219/7200, -1579/120, 626851/1440, -543521/800, 
  469949/1440, 706969/1440, -44573/80, -30483763/14400, 3118189/2160, 
  -656249/1296, -3/2, 3/2, 3/2, -3/4, 3/4, -3/2, -3/2, 3/2, 3/2, 3/2, 3/2, 
  3/2, 0, -3/2, -3/2, -3, -3/2, 3/2, 3, 3/4, 3/2, -3/4, 0, -3/2, 0, -3/2, 
  3/2, 3/2, 0, 0, 3/2, 0, -3/2, -3/2, -1, -1, 1, 1, 2, 1, -1, -1, -1, 1/4, 1, 
  1/2, -1/2, 3/4, 0, -3/4, -1, 1/4, -1/4, 1/4, 3/4, 3/4, 1/2, -3/4, -3/4, 
  -3/4, 1/2, -1/2, 1/2, -1, -1, 0, -1/2, 1, 1/2, 1/2, -1/2, 5/4, 1, -1/2, -1, 
  -9/4, -3/2, 1, 3/2, -1/2, -1, -1, 1/2, 1, 1/2, 9/4, 9/4, 1/4, 3/4, 0, -9/4, 
  -3/4, -9/4, -1/4, -7/4, -3, 1/4, 5/4, 11/4, 2, 1/4, -1/4, -2, -3/8, 1/4, 
  -5/8, -3/8, -1/4, 5/8, 3/4, 0, -3/8, 2, 13/8, -3/4, 3/8, -11/8, 1, 3/8, 
  -3/8, -1/2, -2, -3/8, 3/8, 1, 11/12, 1/4, -1/4, -5/12, -1/2, -1/8, -1/2, 
  -3/8, 1/4, 0, 1/8, 3/8, -11/12, 1/4, 1, -3/8, -9/8, -1/2, 3/4, -1/4, 3/4, 
  -1/2, -5/4, -3/4, 1/4, 7/6, -2/3, -1/2, 1, 5/12, -7/6, -1/3, 1/2, 1/3, 3/4, 
  -5/3, -1/4, -5/12, -5/12, 1/3, 7/12, 5/4, -5/6, 7/6, 5/12, -7/12, 1/4, 
  -1/8, 3/8, -1/8, -3/8, 0, -3/8, 3/8, 5/24, 7/24, 7/48, 5/24, 1/3, 1/3, 
  17/24, 1/24, 11/16, -1/4, -1/4, -23/24, -5/12, -1/12, 5/24, -5/12, -17/24, 
  -23/48, -5/8, -19/24, 31/48, 3/8, -1/24, 3/8, 3/8, 5/12, -1/6, -1/6, -5/24, 
  -5/8, -13/24, -3/8, -37/48, -2/3, 7/16, 29/24, 5/24, 5/12, 11/24, -5/48, 1, 
  61/48, -13/24, -3/8, 0, -11/24, 1/6, 1/3, 19/48, -3/16, -1/24, -5/24, -3/8, 
  -5/48, -5/48, 1/24, -5/12, -11/12, 1/3, 1/6, 7/12, -23/12, -1/2, 5/6, 5/12, 
  31/24, 5/12, 5/12, 21/8, -11/24, 1/12, -1/12, -1/2, -7/12, -7/24, -5/12, 
  -1/4, 0, 1/3, -1/6, 29/24, -3/4, 9/4, 11/24, -5/4, 5/12, 19/12, 11/12, 
  -5/24, -41/12, 25/24, -13/6, -2/3, 1/2, 3/4, 4/3, 19/24, 1/24, -1/12, 
  -5/12, -3/2, -5/24, -5/8, 1/6, 5/12, 1/6, -11/12, 2/3, 11/12, 1/6, -7/4, 
  -7/12, 13/8, 5/12, -5/12, -11/24, -5/12, 31/8, 5/12, -5/12, -1/2, 5/12, 
  -1/12, -17/8, -5/12, -1/4, 1/3, 1/3, -5/12, -1/6, 29/12, -11/12, 7/2, 11/4, 
  5/6, -43/24, -5/24, 1/24, -9/2, -7/4, -13/12, -1/3, 8/3, 5/12, -3/2, -11/3, 
  -5/12, -5/24, 41/24, -1/6, 1/12, -11/24, 5/24, 11/24, 1/12, 1/8, -7/8, 
  -5/24, 5/12, 5/24, 5/24, 0, -7/24, 1/24, 53/48, -1/12, -1/4, 5/12, 5/24, 
  -1/24, -5/24, -11/24, 1/6, -5/12, -7/24, -11/48, -1/6, 1/6, -1/6, 7/12, 
  -1/12, 29/24, -7/12, 7/4, 11/8, -7/24, -17/24, -1/6, -4/3, -5/8, -7/16, -2, 
  5/24, 1/2, 5/8, 11/24, 19/16, -7/12, -3/4, -11/6, 25/24, 2/3, 43/24, -5/24, 
  -23/24, 3/2, -3/2, 3/4, -3/4, 3/2, -3/2, -3/4, 3/4, -3/2, -3/2, 3/2, 3/4, 
  -3/4, 3/2, 3, 3/4, 1/4, 3/2, 1/2, -1/2, 3/4, -2, 2, 2, 1/2, -1/2, -1/2, 
  -3/4, -3/2, -3/2, -3/2, 3, -3/2, 5/4, -2, 1/2, -3/2, -3/2, 3, 3/2, -3/2, 3, 
  -3, -3/2, -3/2, -3/2, -3/2, 0, 3/2, 3/2, 3, 3/2, -3/2, -3, -3/4, -3/2, 3/4, 
  0, 3/2, 0, 3/2, -3/2, -3/2, -3/2, 1/2, 3/2, 3/2, 3/2, 3/2, 0, -3/2, -3/2, 
  -3, -3/2, 3/2, 3, -3/2, -9/4, 3/2, -3/4, 0, 3, -3/2, 0, 0, -3/2, 3/2, 3/2, 
  0, 0, -1, 3/4, 3/4, 15/4, -29/4, -35/4, 15/8, -3/4, -11/4, -7/2, -15/4, 
  11/8, 69/8, 23/2, -13/4, -3, -3/2, 3/2, 3, 3, 9/2, -3/2, -9, -3/2, -3/2, 
  -3/2, -3/2, 0, 3/2, 3/2, 6, 3, -3, -6, -5/8, -3/4, -3/2, 3/4, 0, 3/2, -3, 
  3/2, 0, -3/2, -7/8, -3/4, 3/4, -1/8, 3/2, 3/2, -3/2, -3/2, 0, -3, -3/2, 
  3/2, 3/2, 3/2, -3/2, -3/2, -3/4, 3/4, -3/4, -3/2, 0, 3/2, 0, 3, -3/2, -3, 
  -3, 3/4, -11/4, 3/16, -3/16, -15/4, -13/2, 43/4, -3/2, -1/2, 0, 1/2, 1/2, 
  -3/4, -5/2, 0, 5/2, 5/2, -3/2, 4, -4, -4, 2, 3/2, 1/2, 0, -1/2, -1/2, -3/4, 
  3/2, -3/2, -3/2, -3/4, 1/4, 1/2, -3/4, 1/4, 1/2, -3/2, -3/2, 3/2, 3/2, 0, 
  3, 3/2, -3/2, -3/2, -3/2, 3/2, 3/2, 15/4, -3/4, -3/4, -21/4, 3/2, 3, -3/2, 
  3/2, 2, 3/2, -8, -5, 2, 2, -2, -1/2, 2, 1, -2, 0, -3/2, 3/2, 3/2, -2, 3/2, 
  1, 1/2, 0, -6, 3/2, 7/2, 7, 7/2, -1, 1/2, 5/2, -8, -11/2, 7/2, 0, -3, 3/2, 
  0, 7/2, 1, 7/2, 2, -1, 1, -8, -4, 7/2, -3/4, -3/4, -3/4, 3, 23/4, 11/4, 
  -3/4, 3/4, 11/4, 7/2, 3/4, -35/8, -57/8, -11/2, 17/8, 3/2, 3, 3/4, 3/2, 0, 
  -23/4, -17/4, -9/4, -25/8, 23/8, 29/4, 9/8, -3/2, -3, -3/4, -3/2, 0, 23/4, 
  17/4, 9/4, 1/8, -23/8, -5/4, -1/8, -1/8, -3/8, 3/2, 0, 0, -3/2, -9/4, 3/2, 
  -9/4, -3/2, 3/2, 0, -1/8, -3/2, 15/8, 3/2, 9/4, 3, 3/2, 53/8, 9/4, 0, -9/4, 
  -9/4, -9/4, 9/4, 9/4, 0, 0, 0, 3/4, -11/4, -139/16, -15/4, -3/16, -15/4, 
  -13/2, 15/4, 43/4, 9/4, 15/4, 15/4, -15/4, -15/4, 3/4, -3/4, 3/2, 4, -3/2, 
  5/8, -5/4, -3/2, 1/4, 1/4, -11/16, 1/4, 3/16, 3/4, -13/16, -1, 1/4, 1/4, 
  3/8, -25/24, -2/3, -67/24, -3/4, 3/2, 67/24, -3/4, 25/4, 5/2, -35/12, -5/2, 
  -25/8, -7/4, 71/12, -907/96, -65/24, 125/32, -295/24, 23/96, 107/12, 
  145/24, 203/48, -191/32, -73/16, 1/4, 7/3, -1, -25/8, -3/4, 1, -1, 3/4, 
  23/96, -17/6, -5/24, 5/12, 3/2, 2, -3/2, -7/4, 0, 7/4, -5/4, 1/4, -1/4, 
  5/4, -1/4, 1, 3, 3/4, 1/4, -1/2, 1, 1, -7/24, -241/72, -1, -2, -11/72, 
  -4/9, 1, 4/9, 127/36, 10/9, 13/12, -115/18, -79/72, -155/54, 103/36, 
  -113/24, -10, 113/24, 1/4, 1/2, 1, -3/8, 235/36, -4, -2, -1/8, -23/4, 3/4, 
  6, 1, -34/9, -1/4, -3/2, -55/36, 1/2, -38/9, 1/4, -1, 815/72, 23/27, 
  -253/36, 1, 1/36, -3/4, -259/24, 1/2, -9/8, -9/8, 3/4, -3/4, -3/4, 3/16, 
  -5/4, 17/8, -7/16, -19/8, -45/16, 127/16, 3/2, 15/4, 9/4, -3/2, -3/2, 9/4, 
  9/4, 3/2, 3/2, 9/4, 27/8, -3/4, 3/8, -15/4, -3/8, -3/4, 33/16, 9/16, 13/16, 
  -3/2, -1/16, -9/4, 3/2, 81/16, 27/16, -17/8, 15/4, 3/4, -45/16, -3/2, 
  -67/8, 91/8, 61/8, 65/4, 3/4, 161/8, 21/8, -73/8, -47/4, 21/8, 3/4, -3/2, 
  -21/8, -3/4, 1/2, 9/8, 1/16, 3/16, -9/8, 3/2, 1/8, 59/16, -1/16, 3/2, 3/4, 
  -3, -9/4, 9/4, 1/4, 95/8, -21/8, 265/16, 9/16, -1/8, -7, -5/2, -33/4, 3/2, 
  -83/8, -5/4, -31/4, -1/2, 7/4, -29/6, -7/4, 0, 37/12, 7/4, 73/12, 7/4, 7/4, 
  -7/4, -7/4, -53/32, 53/32, 11/64, -11/64, -75/64, -31/64, -53/32, -5/8, 
  9/32, 3/32, -9/8, 85/16, -3/8, -7/4, 221/32, -9/32, -11/8, -2, 5/4, -13/8, 
  11/4, -4, 11/8, 2, -5/4, -5, 3/2, 3/2, 3/2, -3/2, -11/8, -11/4, -3/2, -3/2, 
  -39/4, -39/4, 45/4, 45/4, 9, 27/4, 9/4, 9/4, -1/8, -1/8, -87/8, -45/8, 
  189/16, 15/8, -75/16, -9, -27/4, 1/8, 81/4, 69/8, -81/16, 45/4, 9/2, -75/8, 
  -9/2, -7/2, -7/2, 7/2, 7/2, 7, 7/2, -7/2, 3/8, -1/8, -1/4, -3/8, -1/4, 
  -3/8, 41/8, 1/4, 3/4, 3/2, -41/8, -3/2, 3/8, -11/8, 1/4, 5/4, -31/8, -7/4, 
  -1/4, -3/2, 1, -2, 1, -65/12, -7/4, 11/3, 53/12, -4/3, 25/16, 4/3, -53/16, 
  4/3, 2/3, -45/16, -2/3, 10/3, -4, -8/3, 1/3, -2, 1, 1/2, -7/4, -7/3, -11/6, 
  2/3, 17/12, -2/3, -8/3, -9/8, 5/8, 1/2, -1/16, -27/4, 33/4, -8/3, 8/3, 
  25/4, 1, -25/12, 1/2, -25/4, -1, -107/48, -1/3, 191/48, 2, -6, -25/48, 
  37/12, 41/6, 155/48, -85/16, -151/48, -1/2, 5/4, -1/4, 1/2, 1/2, -1/2, 
  -1/2, 1, -1, -1/2, -1/4, -1, -5/4, -1/2, 1/2, -1/2, -9/4, -1/4, -1, 0, 9/4, 
  1, 5/4, -5/4, 7/2, 3/4, -3/4, 5/4, -5/2, 1/2, 3/4, 17/4, 1/2, 3/2, -53/36, 
  61/72, 13/3, -17/24, -257/72, -17/3, -7/6, -7/3, -43/36, -26/3, 107/72, 
  43/9, 7/3, 13/3, 8/9, 53/36, -37/18, -22/3, 14/9, 41/12, 25/18, 709/72, 
  -26/27, -103/36, 29/24, 3, -29/24, -9/8, 7/16, -13/16, 9/16, -13/4, 71/12, 
  0, -61/12, -47/18, 11/9, 5/12, -17/18, 17/3, 7/6, 7/3, 43/36, -22/9, 
  -59/36, -47/9, -7/3, 11/9, -4/9, 19/18, 19/18, 22/3, 5/9, -11/6, -52/9, 
  -179/18, -157/54, 85/18, -71/12, -13, 71/12, 35/12, 151/18, 7/72, 7/16, 4, 
  103/9, -13/16, 7/3, 9/16, -353/36, -205/36, -5/3, -88/9, -7/3, 257/36, 
  -5/3, 0, -35/12, -577/36, -32/9, -4/3, -71/9, 113/12, 59/6, 115/108, -25/6, 
  275/36, 7/3, -22/3, 1, -1/2, 3, 2, 23/12, 289/36, 1/4, 3/4, -1, -5/2, -4, 
  1/3, -277/36, -3/4, 2, -1/3, -29/12, -71/4, -37/36, -13/12, -26/9, 1/4, 
  77/12, 74/9, -163/54, -3, 239/36, -65/12, -1/4, -17/6, -16, 23, -33/8, 
  -109/2, 83/8, 1211/16, 159/8, 419/4, 853/8, -26, -163/2, -27, -311/16, 
  303/16, 409/16, -15/4, 1173/8, 50, -459/16, -197/2, 25/4, -1/4, 2, -353/16, 
  1/2, 107/2, 4, 313/8, -52, -15/2, -287/8, 15/4, -1015/8, -118, -813/8, 
  -983/16, 31/2, -3/4, 721/8, 499/8, 3/2, -5, 977/16, -20, 275/4, -1059/8, 
  -647/8, -919/16, 23, 793/8, -1/4, 16, -21/2, -53/2, -99/4, -259/16, 101/4, 
  151/16, 415/16, -3/16, 16, 107, 177/2, 53, 43, -209/8, -147/2, -130, 
  -273/4, 169/4, 169/4, 551/8, -1/4, -41/4, -447/8, 12, -1593/8, -475/2, 
  -1027/16, 144, -505/16, 1, -121/16, 2051/16, -1, 4, -101/2, -19/4, -727/16, 
  191/4, 121/16, 639/16, -57/16, -16, 1073/8, 295/2, 1003/8, 1519/16, -79/4, 
  -125/4, -1277/8, -733/8, 157/4, -5, 21/4, -1/4, -883/16, -57/4, 29, 
  -1203/8, -295/4, 1713/16, 1251/8, 197/4, 1, -343/16, -1343/16, -3/4, 4, 
  -65/4, -141/16, 59/4, -15/16, 41/16, 3/16, 131/4, 4, -95/2, -19/8, 131/4, 
  -3/4, -5/4, 33/2, 1/2, 51/8, 43/2, -17/8, 341/8, 177/4, 431/16, -65/2, 
  59/16, -5/4, -37/16, -435/16, 1, 3/4, -1/16, 9/2, -105/16, -3, -39/8, 
  -15/4, 3/4, 15/8, 9/8, -3/4, 3/4, 0, 13/16, -3/2, -1/16, -9/4, -3/4, 39/8, 
  117/16, 39/4, -17/8, 15/4, -21/8, -93/16, -3/2, -59/8, 147/8, 91/4, 10, 
  149/8, -3/8, 71/4, -105/8, -37/4, -83/8, 0, 9/2, 15/4, 0, 5/8, 9/8, -11/16, 
  9/8, 1/16, -15/4, 39/8, 23/4, 61/8, -19/16, 15/2, -21/8, -99/8, -3/4, -3/8, 
  15/8, 21/16, 9/16, 3/4, 0, -1/16, -9/4, -15/8, 9/4, -69/16, -33/16, 15/8, 
  -3/2, -139/8, -91/8, -27/8, -9/8, 15/8, 3/8, 47/4, -27/8, -3/8, 3, -9/4, 
  -27/4, -3, 0, -5/16, 1, -15/16, -1/8, -15/8, -9/4, -21/16, -3/4, 27/8, 
  15/4, -11/4, 117/8, 19/8, 277/16, 1/16, 59/4, -23/4, -77/16, -9, 7, -83/8, 
  3/4, -69/8, -5/4, 3/4, 2, -1/8, 39/16, -7/8, 3/16, -33/16, -1/16, -3/2, 
  -21/8, 3, 7/2, 55/8, -5/4, 6, 3/2, -105/16, -15/4, -7/4, 21/4, 93/4, 25/8, 
  477/16, -3/16, 121/8, -55/8, -171/16, -73/4, 5/2, -91/8, 1, -75/8, -5/4, 
  -13/32, 79/16, 99/16, -43/8, 1159/96, 5/32, -355/96, 5/96, 1073/48, 373/32, 
  145/32, -185/96, -13/4, -6, 127/16, -43/8, -1/3, 347/48, -3/16, 491/24, 
  -355/96, -661/96, 1073/48, 65/24, 33/2, 311/32, 481/96, -259/32, 83/64, 
  3/8, 81/16, -33/32, 193/64, -3/32, -1/32, -9/4, 9/16, 25/8, 43/8, 29/4, 
  83/64, 3/4, -21/32, 65/64, -13/16, -43/32, -3/16, -1/32, -33/8, -189/32, 
  5/4, 43/8, 101/8, -3/8, -37/32, -157/64, 5/32, 357/64, 269/64, 15/8, 
  317/96, 189/32, -43/8, 47/16, 189/32, -109/16, -129/32, 173/64, 25/8, 
  -19/32, 11/64, -175/96, 11/64, 3/32, -475/48, 183/32, 85/16, 167/48, 
  -43/32, -165/64, 19/16, -113/64, -5/4, -27/4, 5/4, -85/24, -107/16, -3/4, 
  -29/24, -1/8, -25/16, -17/2, -9/2, 11/4, 1/2, 9/4, 8, -19/2, 31/8, 23/4, 4, 
  -9/4, -8, 8, 5, -7/8, -1/8, -53/16, -19/32, -43/8, -71/32, 3/4, -1/4, 
  -17/32, -3/16, 1/2, 7/8, 1/8, 49/16, 7/8, -49/32, -17/4, -65/32, 3/8, -3/4, 
  11/32, -1/2, -1/8, -89/16, 9/8, 69/32, 13/2, 185/32, -3/8, 3/4, -11/32, 
  1/2, 5/2, -3, -7/4, 0, 1, 8/3, 41/8, 1/8, 725/96, -3/8, -203/32, -7, -7/4, 
  -19/32, 2, -3/2, 1, 9/2, -3/2, -3/2, 9/2, -177/16, 105/16, -51/4, 237/16, 
  33/4, -7/2, 7/2, 7/2, -3/4, -1/2, 3/4, 1/2, 3/4, 1/4, 3/4, 1/4, -3/4, -3/8, 
  1/8, 1/4, -21/16, 1/2, 3/8, -19/8, 21/16, 9/4, 113/24, -17/24, 4/3, -1/8, 
  -9/8, -49/8, -15/16, 43/16, 3/16, -353/24, -3, 1/8, 179/8, 29/2, -5/2, 
  50/3, 6, -73/4, -6, -3/2, -3/4, 53/24, 7, -3/4, 109/16, -3/4, 11/4, 3/2, 
  53/12, -13/4, -7/6, 17/4, 91/12, 17/6, 2/3, -1, -5/24, -3/8, 5/16, 5/8, 
  3/16, 5/8, -1/3, -5/12, 5/24, 5/24, -13/8, -7/12, 1/12, -5/24, 1/6, 1/3, 
  1/6, 5/24, 17/24, -2/3, 5/24, -15/8, 1/4, -5/12, -1/6, 13/16, -3/8, 95/48, 
  3/8, -1/2, -1/8, -1/6, -1/3, 17/48, 41/48, 1/2, 3/8, -15/16, -41/48, -1/24, 
  -2, -1/4, -1/4, 3/4, -3/4, -3/4, 5/4, 1/4, -7/8, 1/4, 3/8, 149/24, 37/8, 
  35/24, 69/8, -39/8, -45/4, -31/24, 41/16, -205/24, -31/6, -123/8, 31/32, 
  155/16, 37/12, 9/2, 3/4, -3/8, 1/4, 1, 3/8, 13/12, 67/32, 1669/384, 
  193/192, 25/24, 1/2, -7/48, 5/128, 25/48, -4, -1/8, 1/8, -1/2, 1/2, 5/12, 
  -1/3, 17/24, 35/24, 7/12, -5/8, -23/24, -13/8, 8/3, 19/16, -5/12, -113/24, 
  -31/6, -19/4, -275/96, 37/24, 1/3, 37/12, 59/12, 1/12, -5/12, 3/16, 1/16, 
  3/8, 1, 167/96, -7/8, -155/96, 169/96, 75/128, 257/192, 105/64, -7/48, 
  143/384, -9/4, 3/4, -9/8, 3/2, 33/4, -39/8, -3, 5/8, -1/4, 3/2, 1/2, 
  -27/16, -3/4, 1/4, -13/8, -3/4, 9/8, -3/2, -33/4, 39/8, 21/4, -1/8, -17/48, 
  -761/72, -13/48, 1/4, 11/16, 23/48, -3/2, -557/144, 571/144, 11/3, 53/6, 
  -11/48, 95/12, 31/2, 3547/144, -31/4, -47/6, -130/9, -85/12, -55/24, 
  -41/48, 1357/48, -7/3, 809/288, -5515/288, 361/72, 151/12, 803/72, 5/12, 
  -523/216, 3/8, -13/2, 1871/144, -5/24, -197/24, -425/48, 5/8, -5/12, 
  -11/16, -157/36, -635/72, -1/12, 65/48, 3, 1/2, 5/48, 5/24, 23/2, 7/4, 5/8, 
  13/9, 253/72, 25/24, 19/12, -5/12, -1/6, -47/12, -13/24, 157/18, -1, 0, 
  1/6, 5/24, 797/72, 1141/72, 73/12, 5/6, 241/36, 26/9, 0, -65/12, -5/12, 
  -5/12, -287/18, -517/48, -53/36, -779/72, -31/48, 3/8, 11/6, 43/72, -1/6, 
  -103/36, -1685/144, -145/12, -373/144, 27/4, 5/12, 343/72, 2519/144, 
  2131/432, -137/72, 113/24, 13/2, -113/24, -3/4, 13/8, 25/8, 1, -1/16, 
  -169/144, -181/72, -7/4, 3/16, 5/4, 5/4, -3/16, 1/16, 9/2, 5, 9/4, 647/144, 
  617/96, 439/144, -21/8, -10/3, -5/8, -45/4, -43/4, -385/24, -2339/144, 
  13/3, 15/2, 269/18, 5/24, 503/144, 79/6, 35/24, 353/36, 113/36, -5/8, 
  -29/8, 7/16, -5/12, -803/48, -125/36, -5863/144, 35/16, 3/8, 1483/288, 
  6083/288, -373/72, -139/36, -2555/144, -74/3, -319/144, -263/72, 487/72, 
  2573/144, 323/48, -209/72, 13/3, 13, -2549/144, 5/24, -5/12, 3/2, 1, 
  121/48, 7/4, -5/4, -7/8, 5/4, 1/16, -11/12, 37/6, 0, 9/4, -1/12, 43/72, 
  295/144, 21/16, -49/12, -5/8, 23/12, -79/6, -43/4, -313/36, -1835/144, 
  199/48, -4/3, 15/2, 565/36, -7/12, 11/4, -583/36, 155/12, 1/2, -115/72, 
  161/36, -1/4, -31/24, -191/16, 665/144, -763/48, 133/18, -5467/144, -17/16, 
  1105/144, 1123/288, 5291/288, -349/72, -3/4, 112/9, -74/3, -3/4, -311/72, 
  5/12, -53/18, 3389/144, 311/48, -29/72, -1/6, 13, -5/12, -2609/144, -73/4, 
  -8, -13/8, 43/16, 385/16, 1593/16, -24, 69/4, 1961/16, -2929/16, 11/2, 
  3539/16, 1377/8, 761/4, -1129/32, -19/4, 549/32, -1939/16, 339/8, -1677/32, 
  -3437/32, 81, 4291/32, -993/8, -415/8, 105/16, -401/2, 6557/16, -3/4, 
  -1985/8, -349/8, 261/16, 10975/16, 9/4, 2455/8, 3823/8, -3/2, -35/4, 16, 
  -205/8, -1129/32, -219/4, 221/4, 1249/16, -1917/32, -1281/16, 209/8, -45/2, 
  371/4, 4291/32, -4, -1687/16, -9739/32, 999/16, 6441/32, 221/4, -405/4, 
  -1985/8, 851/8, 7335/16, 1669/16, 3/4, 2455/8, 72, -3/2, 39/4, 2189/12, 
  1461/32, -22165/48, 53/3, -5801/48, -108919/96, 1249/12, -13333/12, 
  -4487/8, -18, -1877/48, 66017/96, 365/24, 90115/96, 910/3, 99/4, -12079/32, 
  -4291/16, 1129/16, -5/12, 1/3, 7/12, -1/2, 5/6, 1/2, -1/8, -25/48, -3/4, 
  -31/24, -137/48, 1/3, 55/24, 43/24, -77/48, -37/24, 5/12, -89/8, 34/3, 
  -19/12, 241/16, -217/24, -275/48, -301/48, 149/16, -5/12, 11, -151/48, 
  -227/48, 1/2, -1/2, -7/24, -5/12, 25/16, 115/96, -1/12, 23/192, 21/32, 1/2, 
  -5/192, -13/96, -1/3, 5/12, 199/64, -53/12, 5/6, -433/192, 11/24, -13/24, 
  1/2, -1/3, -19/24, 1/3, -13/24, -607/96, -259/16, 1/3, -977/96, -387/16, 
  7/8, -545/192, -5/12, -793/96, 727/48, -13/8, 3769/192, 23/8, 439/96, 
  29/48, 3/8, -499/96, 485/48, 13/24, 329/48, 5/12, -9/16, 239/32, -125/24, 
  3/16, -3/2, 3/2, 3/2, 5/24, 77/96, -33/32, 7/48, -55/24, 33/32, -21/64, 
  143/96, -5/192, -109/32, 191/96, 0, 835/192, -29/6, 3/4, -227/64, -1/16, 
  109/32, -1/6, 3/8, 7/12, -33/16, 31/24, 9/8, 35/24, -361/96, -3/2, -279/16, 
  -133/48, -635/96, -455/16, 3/8, -107/64, -229/24, 35/24, 319/16, 359/24, 
  5881/192, 1/8, 607/48, 275/96, -195/16, -73/16, -57/16, 27/32, 219/16, 
  145/16, 95/16, 83/16, 51/32, -121/16, -13/8, -1, 3/2, 1, -5/12, 13/48, 
  -33/32, 3/8, -169/96, 33/32, 13/192, 143/96, -5/192, -25/12, 191/96, 0, 
  785/192, -29/6, 3/8, -215/64, -1/16, 133/32, -1/6, -3/8, -1/6, -15/8, 
  31/24, 3/8, 5/12, 47/16, 329/32, -279/16, -37/24, 67/12, -463/16, 9/16, 
  -171/64, 1/2, -763/96, 315/16, 15/16, 1571/64, -3/2, 119/24, 299/96, -8, 
  -85/16, 23/12, -221/48, 199/16, -17/8, 113/48, 55/48, 233/96, -47/16, 
  -43/8, 3/2, 61/12, -7/4, -37/64, 2633/192, -45/16, -583/96, 369/32, 29/8, 
  149/64, -2213/192, 1033/64, 415/96, -877/32, -29/8, -63/16, -333/16, 127/8, 
  479/64, 1/4, -1/8, -553/192, 73/128, -233/12, -1073/384, 45/32, -1, 
  -425/96, 249/64, -1355/192, -525/64, 5/3, -245/16, 117/32, -11/12, -29/48, 
  235/192, -513/64, 1213/192, -221/64, 829/96, -1043/192, 37/8, -257/32, 
  105/64, -163/64, 163/64, -105/64, -1/8, 35/12, -569/96, 73/128, -13/96, 
  243/64, -5533/384, -5/32, 685/192, 11/24, -259/48, 249/64, -185/48, 
  -2087/192, -307/192, -27/8, -245/16, 611/48, -11/12, -173/48, 515/192, 
  -877/128, 71/64, -1565/384, 1933/384, 303/16, -365/192, -547/64, -821/48, 
  -37/96, -289/64, -1589/192, 473/96, 479/128, 5/4, 87/32, -307/32, -55/16, 
  15/2, -51/8, 11/8, -5/4, -3/2, 89/8, -53/4, 2, -31/8, 7/6, 199/32, 2, 
  -291/16, 257/48, 557/32, -257/48, -163/32, 13/4, 467/96, 139/8, -27/16, 
  -589/96, -19/4, 47/8, 31/16, -21/8, 4967/192, 283/32, -17/2, -491/32, 
  -305/48, -3827/192, 429/32, -595/96, -9/8, 9/8, 595/96, 85/48, 1, -15/16, 
  -7, 49/8, -23/24, -43/32, -469/96, -21/16, 757/96, 69/8, 49/16, -223/32, 
  -175/32, 55/8, -85/48, -1, -25/16, -1/4, 5/8, 57/32, -29/8, -1657/96, 
  595/32, -1, 1009/96, 1/6, -11/12, -1/3, 3/4, 13/12, 1/12, -8/3, -1/6, 1/4, 
  7/4, -5/12, 2/3, 4/3, 55/48, -89/32, -11/24, 69/32, 89/32, -269/96, 5/6, 
  -11/12, -5/12, -19/32, 107/96, -145/48, -3/4, 1/12, 11/96, 1/3, -1/6, 
  29/12, -1, 13/12, 47/12, -7/2, -11/4, -5/12, -23/6, -25/12, -1, 19/12, 
  17/12, 3/4, -1, -3/2, -13/6, 11/3, 43/12, 19/12, -25/12, -1/6, 11/12, 5/12, 
  -209/48, 17/32, -1/24, -1/6, 23/2, 233/96, -25/192, -289/48, 5/192, 5/12, 
  -5/6, -5/12, 0, 11/4, 59/96, -1657/192, -63/8, 1889/192, -5/12, 1/12, -5/8, 
  25/32, 937/96, 1/3, -5/24, 1/6, -29/12, 7/12, 17/12, -1, 3/2, -25/12, 4/3, 
  -7/12, 4/3, -1/8, -19/24, -115/24, -3/32, -5/16, 137/96, 3/32, -35/192, 
  -73/96, -5/192, -11/3, 1/12, -4/3, 13/6, 653/96, -23/32, 2389/192, 37/16, 
  -275/64, 4, 1/2, 49/96, 107/48, -105/16, -5/3, -109/96, -7/4, -7/6, 85/24, 
  9/2, 7/3, -15/8, 449/48, -33/4, -11/4, 49/12, -35/24, -85/24, -47/24, 
  65/24, -45/16, -3/4, 21/8, -67/24, -19/12, -11/12, -83/24, 55/24, 1/12, 
  11/3, 37/6, 83/24, -23/8, -21/4, 17/6, -17/6, 3/8, 1/4, -3/8, -1/4, -3/4, 
  -3/8, 17/4, -23/32, 1/8, 247/48, 1/4, 3/2, 1/8, 79/48, -247/48, -89/96, 
  3/8, -1/6, 11/12, 1/8, -11/12, -1/6, -1/4, 7/4, 13/24, -7/6, -7/4, -229/48, 
  45/32, -305/96, -1, 65/24, 323/96, 5/12, 1/6, -29/12, 11/12, -7/2, -11/4, 
  7/4, 89/24, 77/24, -13/6, 3/2, 11/3, -25/12, -1/6, 11/12, -1/8, -3/4, 
  -13/12, -3/8, 8/3, 1/6, -1/4, -7/4, 3/4, 5/12, -5/6, -5/12, 5/12, -9/8, 
  317/96, 15/8, 7/12, -131/48, -5/4, -9/8, 55/12, 7/16, -5/12, 1/12, 0, 
  -135/32, -17/3, -13/3, 5/96, -5/24, 1/3, -1/12, 17/6, 21/4, 1/3, 1/6, 
  -29/12, -2/3, 1, -13/12, -11/3, 7/2, 5/2, 7/12, 17/12, 49/48, 1/6, -5/24, 
  -35/8, -1, -1, -259/96, 137/96, 817/384, 337/192, 3/2, 13/6, -11/3, -25/12, 
  163/192, 5/16, 47/24, 223/384, -2, 5/12, -1/48, 9/32, 1/4, 77/48, 11/32, 
  -1/192, -13/48, 5/192, -5/12, 47/48, 73/64, 5/24, 29/64, -5/24, 1/6, 47/48, 
  -13/24, -1/12, 11/24, -5/24, -1/24, 1/4, 5/24, -5/12, -5/24, 5/24, 5/12, 
  11/48, -5/24, 1/24, -1/6, -7/12, 1/6, 1/12, -29/24, 1/6, 7/16, -5/24, 7/24, 
  17/24, -5/8, -19/16, -1/2, 7/12, 3/4, -2/3, 5/24, -25/24, 23/24, -5/12, 
  -3/8, -5/12, 9/8, 13/48, -71/18, -5/3, 0, 37/48, 13/8, 7/8, -13/16, 11/24, 
  4/3, 7/3, 11/2, -5/12, 749/144, 433/72, 0, -1/12, -4, -17/8, 1/2, -11/12, 
  -9/4, -49/12, 5/12, -2233/288, 0, 5/6, 125/48, 11/24, 4/3, -1/3, -3/4, 
  -7/6, 5/12, 19/24, -497/72, 229/48, -1/8, -13/18, 329/72, -11/24, -13/24, 
  17/24, -13/4, 1/4, -11/8, -5/12, 137/16, 85/48, 1/24, -1/12, -1279/96, 
  49/48, 1/4, 19/8, 9/8, -1/12, 503/144, -1/8, -7/8, -17/8, 3/4, 5/12, 5/12, 
  2/3, -1/3, -1/24, 485/72, -239/24, 3/8, -211/72, 13/6, -1/48, 43/24, -5/24, 
  -7/6, -82/9, 5/48, -1/3, -71/48, -11/12, 43/24, -23/18, 23/24, -7/12, -1, 
  293/48, -11/48, -5/24, 5/24, 9/8, 5/48, 37/48, -1/8, -4, 8, -205/16, 
  -67/24, 1013/24, -1147/64, -1129/32, -5655/64, 4321/192, 5283/64, -1021/24, 
  -15905/192, 7771/192, -8, 147/8, 205/8, -4, -7871/96, -1955/192, 3471/32, 
  -13/8, 1269/64, -23027/96, 1973/64, 371/2, 81/2, 163/16, -97/2, -8, 431/96, 
  -1045/6, 975/32, 55435/192, 947/8, 1377/16, 175/16, 8297/48, 5419/32, 
  1353/16, 65/12, -35/48, 1/6, 11/8, 3007/24, 263/12, -4657/96, -3419/96, 
  3385/192, 21613/192, 23249/192, -20209/48, -6119/32, -23/6, -1145/48, 
  -249/16, -1149/32, -33023/96, 17963/96, 16081/64, -62667/64, -107231/192, 
  66517/96, -397/48, 4921/48, 12965/96, -2635/4, -124405/192, 330955/192, 
  -431, -6301/24, 57815/32, 42313/48, -323/48, -7/16, -29/12, -91/3, 
  -1513/32, -1313/32, 23807/48, 29135/192, -5/24, 377/24, -153/16, -3415/96, 
  125869/192, 56041/192, -197647/192, 2899/12, 4251/32, -91275/64, -9587/16, 
  89/8, -1/24, -42851/192, -1009/32, 5/24, -16229/96, -3247/96, 36093/64, 
  38539/96, 1129/32, -3387/32, -5/24, 5/12, -29/96, 1/6, -3/16, 73/96, 1/6, 
  -49/48, -11/24, -1/8, 19/24, 5/24, -9/32, -1/6, -5/24, -85/96, 1/6, -1/24, 
  7/48, 1/6, 1/4, -49/48, -1/6, 1/6, 5/24, 5/8, -1/3, 5/12, 11/16, 11/48, 
  -1/6, 11/12, -7/12, 25/24, -31/12, -65/6, 5/24, -29/24, -1091/96, -7/6, 
  1/24, -107/32, -11/3, -1/4, 2, -5/12, -727/96, 261/32, 5/24, -1/3, 1163/96, 
  107/48, 53/48, 349/48, -21/16, 5/6, 139/32, -11/24, 1, -1/2, -23/16, -3/4, 
  -1/12, -5/12, 1/3, -7/24, -143/96, 235/48, -5/4, 149/24, 113/24, 7/16, 
  -8/3, 5/24, 11/4, 455/96, 55/48, 19/12, -157/48, 11/8, -101/24, -23/12, 
  -11/24, 7/4, 7/3, 239/48, -3/16, -1/24, -5/24, -35/8, -59/16, -5/48, 49/24, 
  5/24, 1/8, 1/24, -75/128, -3/8, 55/64, -147/128, 149/128, -7/24, 123/64, 
  -867/128, 1/4, 95/96, 0, -17/24, -17/192, 0, -417/64, 877/384, -9/64, 
  -4735/384, 157/96, -1/24, -45/16, 7/12, 145/64, -1219/192, 1/6, -43/16, 
  -5/48, 71/192, 157/384, 159/64, -1291/384, -43/32, 863/384, -597/128, 
  -5/24, 5/12, -497/192, -149/128, -1955/192, 1695/128, -1185/128, -13/4, 
  -583/192, 2575/192, 43/16, -265/96, -155/24, -85/12, 749/384, 5/24, 887/96, 
  63/32, 1091/96, -113/16, 479/128, -479/128, 11/16, 11/12, 11/24, -5/6, 
  -11/24, -1/12, 9/16, 15/8, -5/8, -5/24, -145/96, -383/96, -5/24, -19/48, 
  59/16, 283/96, -25/32, -247/96, 199/32, 0, -25/8, 1/12, 197/96, 125/96, 
  -95/96, 1/24, 7/24, 2, -1/6, -11/16, -11/12, -29/24, -1/16, 7/12, -7/4, 
  5/8, -3/8, 205/96, 5/8, -37/48, -229/192, 113/16, -83/24, 251/96, -37/16, 
  653/192, -61/16, 3/4, -1, 11/6, 167/48, -13/48, 35/48, -139/48, -1/12, 
  11/24, 1/6, -3/8, -13/24, -1/24, 4/3, 1/12, -1/8, -7/8, 5/24, -5/12, -5/24, 
  -5/6, 5/4, 5/24, -5/24, 169/48, -53/96, -1/4, 47/24, -5/24, 1/24, 5/24, 
  35/24, -1/4, -5/12, -13/48, -13/12, 1/6, -5/24, -1/8, 71/96, 1/6, -1/12, 
  -7/24, -5/12, -17/24, -1/4, -5/24, 7/4, 11/8, 5/12, -3/8, -5/8, -19/48, 
  163/96, -19/48, -25/32, -4, -15/8, -5/6, 5/12, 5/12, 49/96, 73/96, 85/32, 
  3/4, -1/12, -23/96, -1/3, 1/6, -5/3, 7/6, -29/12, -11/4, -11/6, 5/12, 
  67/24, 7/6, 187/48, 89/16, -19/12, -17/12, -21/8, 1, 3/2, 11/3, -43/12, 
  -11/3, 25/12, 1, -1, 7/12, -13/48, 3/4, 2, -2, -2/3, -4/3, -4/3, 5/8, 1, 
  -5/8, -1, -3/2, 107/24, 13/16, 3/2, -5/8, 15/16, -199/48, -5/4, 2, -1/2, 
  5/4, -2, 1/2, 4/3, -21/16, 0, -21/4, -529/96, 17/2, 529/96, -23/12, 275/24, 
  55/6, -773/96, -47/8, -61/16, 117/16, 191/32, 199/48, -7/4, -1, 11/4, 1, 
  -1, 3/4, -55/12, 5/3, -4, 3, 2, -1, -75/16, -2, 355/48, 89/4, -355/48, 
  -89/4, 79/12, -79/12, -79/6, 8/3, 59/12, 25/4, 151/16, -107/16, -65/12, 
  -1/4, 2, -3/4, -2, 1, 8/3, -8/3, 25/4, -1, -1/2, 637/48, -901/32, 1/2, 
  -13/3, 23/6, -5/3, 11/4, 3/2, -233/48, 71/48, 8, 319/48, -3/4, 1, 3/2, -1, 
  -2, 1/2, 3/2, 2, 9/4, -1/3, 69/16, 1/3, 2/3, 1/6, 2, -3/2, -47/12, -1, 
  217/48, -979/192, -751/4, -8, -353/2, 199/8, 83/8, 1589/4, 1481/4, 184, 
  45/4, -67/4, -777/2, -41/8, 6, -12, 6, -12, 12, 6, 12, -6, -18, -2, -3, 
  -5/4, -23/4, -7/2, 1, 1/4, -3, -29/4, -9/4, 3, 1/4, 9/4, -3/4, 5/2, 1/8, 
  -5/4, -3/4, -1/2, 1/4, -5, -1/2, -17/4, -3/4, -3/2, 5/4, -3/16, 3/4, 3/16, 
  15/4, 8, -3/4, -43/4, -9/8, -5/2, -61/48, 3/4, -3/4, 3/2, -3/2, -3/2, 15/8, 
  -3/8, -1, 0, -7/4, 11/4, 7/2, 2, 11/4, -3, 1/4, 5/4, 3, 3/4, 1/4, 3/4, 1/2, 
  13/4, -1/2, 1/4, -3/2, -1/4, -1/4, -11/4, -1/4, -1/2, 55/18, -55/18, -1/2, 
  -1/8, 251/72, -1/8, 103/24, 11/6, -251/72, -11/6, -1/72, -7/6, -331/72, 
  397/96, 473/96, -157/48, -397/96, -247/144, 157/48, -925/288, 1/2, -17/8, 
  -797/72, -53/9, 325/72, 149/18, -43/18, 689/54, 73/54, -212/27, -2095/216, 
  365/36, 7/8, -293/72, -239/36, 3/16, 0, -3/16, -449/72, -20/9, 0, 373/36, 
  211/36, -167/54, -167/18, -1135/216, 184/27, -469/48, -59/32, 99/4, 
  2615/144, 11/24, -65/48, -107/18, -545/144, -85/72, 91/144, 545/144, 13/18, 
  35/18, -241/72, 1/3, -17/9, 14/9, -137/36, 2, 97/72, 125/36, 107/9, 
  1103/72, 2, -164/27, -2281/216, -214/9, -125/9, 2281/216, 107/9, 121/24, 
  10, 365/36, -121/24, -3/4, 77/12, -1/2, 1/4, -436/27, 1/2, -77/12, -71/18, 
  436/27, 40/9, -77/12, 4, 292/27, 5/18, -7/2, -15/2, 16, 37/4, 3/8, 3/4, 
  3/4, 11/4, 7/4, 39/8, -19/2, 1/8, 15/4, -35/4, 15/8, 311/144, 311/144, 
  -641/72, -587/144, 641/144, 695/72, 595/8, -905/144, -1/2, 1/8, -113/72, 
  5/16, 721/72, 3/4, -9/8, 1175/144, -1/2, -499/108, -589/8, -19/32, -197/96, 
  -5/96, -527/48, 197/96, 223/48, 527/48, -147/32, 11/4, 1/3, 469/48, 145/96, 
  -99/4, -173/24, 761/48, -139/2, 44, 13/4, 139/24, 11/2, -25/2, -11, 1/2, 
  12, 9/4, 1/6, 73/48, 401/96, -147/4, 1/48, -271/96, -107/4, 15/2, -355/48, 
  -2929/96, 793/96, 455/48, -51/8, -411/32, 82/3, 61/72, 15/16, 13/72, 71/36, 
  -19/8, 19/8, -29/8, 105/8, -41/8, -15/4, -41/8, 15/8, -19/8, 29/4, 65/4, 
  -29/8, -12, 9/4, -3/4, 197/96, 3/16, -49/96, 69/8, 445/96, -615/64, 73/48, 
  139/32, -147/4, 10, -11/2, 217/24, -217/24, -11/4, 11/2, -283/12, 217/24, 
  349/24, 33/8, -5/4, 6, 2, 9, -2, -2, 2, 1/2, -2, -1, 2, 2, 2, -2, -1/2, 2, 
  1, -2, 8/3, 21/32, 2/3, -63/32, -4/3, -2, 7/16, 3/4, 703/96, -5/2, -703/96, 
  53/12, 1/24, -527/48, -43/96, -9/8, -95/16, 127/32, 173/48, -2, 1/32, -3, 
  -1/32, 19/3, 25/6, 115/48, -103/32, -15/4, -33/32, -2, -23/96, -4, 1, 
  173/32, -45/16, -173/32, 29/16, -101/12, -277/24, -111/32, 31/4, 35/32, 
  -47/8, 35/96, 173/32, 1, -173/32, -1, -89/12, -277/24, -295/32, 31/4, 
  -205/32, 1, 167/32, -2, 1/4, 3/4, -1, 15/16, 1/2, -15/16, 9/8, 5/4, 9/4, 
  -5, -9/4, 15/4, 37/8, -121/48, -115/48, -47/8, 31/32, -229/16, -227/96, 
  449/96, 261/16, -1/3, 1, 3, -1, -2, -2, -121/48, 3, 7/2, -1, -15/16, 1, 
  103/48, 15/16, 69/16, -69/16, -69/16, -2, 2, 2, -131/96, 2, 3/2, -3/2, 
  -3/2, 2, -3/2, -1, -3/2, 3/2, 3/2, -2, 3/2, 1, 103289/864, 41/128, -27/4, 
  -279/32, 11, 279/32, -19/12, 85/6, 909/64, -1835/192, -83/12, -121/32, 
  585/64, 341/64, 121/32, -1/2, -27/8, 1/8, 55/12, -403/64, 479/192, 7/12, 
  -221/12, -1483/192, 2555/192, 323/96, -1507/96, 13/6, -193/64, 289/192, 
  -755/384, 105/128, -103/16, 69/16, -161/16, 3155/96, -5743/192, 2899/128, 
  23/128, 317/384, 4705/384, 0, -73/96, -1, 73/96, 7/3, 187/24, 37/12, 
  -135/32, -67/8, -7/2, -409/48, 163/32, 79/24, -1, -635/144, -131/48, 
  1363/288, 153/32, 95/48, 7/16, 181/24, -1109/144, -153/32, -413/32, 
  -181/24, 1049/96, 3/4, 515/36, -1/48, -15/4, -111/16, 43/4, -17/8, 217/32, 
  -3/2, -19/16, 1/2, 1/2, 13/2, -1/2, -37/4, -35/3, 16/3, 15/4, 25/2, -105/8, 
  0, 313/16, -155/16, -99/8, -2/3, -17/48, 345/32, -17/24, 79/24, 131/48, 
  -91/16, -3, 3, -577/48, 773/32, -3/2, 5/2, 5/2, -2, -5/2, -5/2, 2/3, 
  -67/48, -185/32, 5/24, 1, 1, -2, -1, 2, -7/2, 3/2, 1, 3/2, 6, 53/6, -8, 
  -197/16, -361/48, 43/64, 313/384, 19/2, 11/6, -51/4, -11/6, 13/4, -219/16, 
  445/48, 67/16, 2015/192, -539/64, -1847/192, -8, 32, -11, 32, -3, 245/4, 
  647/8, 9/4, -21/4, -32, 2141/8, 823/4, -363, -2165/8, -5/12, 1/3, -5/6, 
  11/12, 45/8, 2/3, 17/6, -3/2, 3/2, 5/12, -5/12, -39/2, 95/4, -5/6, 18, 5/6, 
  -1/2, 0, 6, -3/2, -7/2, -7, -7/2, 1, -1/2, -5/2, 8, 11/2, -7/2, -6, 703/4, 
  8, 365/2, -103/8, -83/8, 24, -1589/4, -1577/4, -24, -17, -301/4, 388, 
  2293/8, -27, -823/4, -11/4, -287/2, 821/8, 561/8, 60, 883/4, 305/2, -33, 
  347/2, -53/8, -353/4, -340, -39/8, 12, 1, -37/4, -18, -27/4, 21/2, -26, 
  843/4, 415/2, 25, -172, 571/2, 719/2, -369, -1103/2, 27, 871/4, 11/4, 
  299/2, -917/8, -615/8, -60, -883/4, -589/4, 33, -1475/4, 65/8, 765/4, 
  1431/4, -2221/8, 11, 37/4, -21/4, -15/4, -22, -208, -162, 23, -29/4, 
  -2267/8, -2213/8, 725/2, 2205/8, -12, -21/2, 3, 75/4, 27/2, -6, 24, -23/4, 
  -137/4, -12, 753/4, -19/8, -739/8, -25/4, 2227/8, -5/4, 2/3, 1, -35/12, 
  -9/2, 9/8, -19/12, -8/3, -9/8, -21/4, 17/24, 9/8, 43/24, -23/24, -17/24, 
  -109/24, 31/24, -5/6, -3/2, 11/12, 15/4, -31/8, 2/3, -19/6, 3/2, -3/2, 
  5/12, -3/2, -5/3, 9/4, 3/2, 4/3, 11/6, 3/2, -1/3, -5/6, -11/2, -15/4, -7/4, 
  -5/2, -13/8, 11/4, -17/8, -3/2, -15/4, -31/4, -51/4, -3/4, -11/4, -3/4, 
  -15/2, -3/4, 57/4, -27/4, 0, 0, -3/2, 3/4, -3/4, 11/4, 3/4, -37/8, -1/8, 
  11/4, -15/2, 5/2, 13/2, -9/2, -13/2, 11/4, 3/4, -37/8, -1/8, 11/4, -15/2, 
  5/2, 13/2, -9/2, -13/2, -3/4, -3/2, 5/4, 103/16, 3, 3/16, 15/4, 8, -3, 
  -43/4, -9/4, -11/8, -1/4, 1/4, -19/4, -4, -13/4, 4, -3/4, 3/4, -5/2, -3/2, 
  29/4, 13/4, -11/4, 17/2, 13/4, 61/48, -11/4, 33/4, 1/4, -37/4, 241/48, 
  13/2, -1/4, 0, -1/4, 23/16, -1, -3/16, -3/4, 25/16, 1, 7, 3/4, -5, -1/2, 
  17/4, 7/8, -5/12, -1/6, 5/12, -35/24, 1/4, 7/12, 39/4, -37/2, 35/4, 7/3, 
  -25/12, 7/12, -3/2, 39/2, -15/4, -89/4, -5/6, -18, 5/6, -3/2, 3/2, 1, 7/3, 
  -3/2, 3/2, 3/2, 3/4, 2, 0, 9, 21/4, 3/4, -3/4, -6, -3/2, -3/4, 9/2, -9/4, 
  1/3, -7/6, -7/6, -1/3, 7/6, -209/96, -209/96, 209/96, -3, -341/18, -299/18, 
  -7/2, -59/9, 1, 263/18, 59/9, 2, 7/2, 29/6, 1/2, -7/2, -7/12, -185/36, 
  -113/192, 21545/3456, -353/48, -925/64, 439/24, 5/2, -31/72, -16/9, 11/2, 
  2339/216, -13/18, 32/9, -2339/216, -16/9, -17/72, 11/9, 107/108, -19/8, 
  -25/9, -5/16, -923/192, 211/12, -65/4, -109/72, 289/108, -43/72, -73/72, 
  -67/24, 14/9, 155/72, 67/24, -14/9, -5/4, 85/72, 133/72, 655/128, -13/2, 
  -3/2, 13, -13/2, 655/64, 29/2, -16, -369/128, -14/3, -6, 6, 455/36, 6, 12, 
  -455/36, -6, 14/3, 6, -239/36, -14/3, 361/24, -369/256, 1925/48, 21/8, 
  2675/144, 3599/48, -8543/288, -265/144, -21/8, 19471/1152, 186001/2304, 
  -81589/2304, -523/128, -4601/1152, -1/2, -66593/1152, -3, -773/144, 
  -341/144, -35/12, -215/36, 7/12, 1, 53/144, 2173/1152, 3623/1152, 881/192, 
  379/64, 113/192, -118591/1728, -39761/2304, 15329/768, 30347/2304, 
  -55189/2304, -59807/1152, -7/6, -6617/576, -209/96, 3, 97/12, 61/12, 7/2, 
  173/18, -7/12, -1, -37/12, -173/18, -257/36, -7/2, -29/6, -305/192, 
  33641/3456, 25/8, 643/144, -313/16, 7/2, 263/144, -79/24, 1123/48, 
  -263/144, -91/12, 1033/144, 3899/144, -571/72, -751/144, 13/6, 13/8, 
  1499/144, 2, 2, -241/144, -29/8, 65/24, 4, 7/144, -15/2, 1321/144, 1447/48, 
  203/72, -967/144, 1/6, -21/4, 1097/144, -991/192, 13/4, 47/48, 13/6, 
  955/216, -251/144, 493/72, 11/216, 361/96, 473/192, 947/64, 3/8, -145/8, 
  43/192, 27/2, 421/72, -2851/216, 155/36, -29/48, 361/96, -9583/288, 217/32, 
  473/192, 473/16, 947/64, -337/96, -145/8, 1547/32, -131/32, 3553/288, 
  2803/288, -25055/1728, 25/8, -115/12, -50/9, -64/27, -503/216, -109/72, 
  37/6, 503/216, -11/18, 1213/216, -1363/108, -955/108, 127/108, 629/48, 
  -23/8, -199/12, -4241/576, -7/2, -191/216, 395/72, 217/12, 29/216, -403/36, 
  385/24, -2215/108, -1291/54, 1991/216, 1507/54, 2, -599/36, -451/36, 
  353/16, -15/4, -3/16, -290/9, 109/18, 15/4, 287/36, -464/27, 379/108, 
  -1541/108, -1091/54, 340/27, 105/16, -5/2, 28/9, 223/18, -28/9, 2219/144, 
  20/3, -15/16, -5/12, 77/24, 85/36, 139/32, -1393/36, 15/16, 415/144, 5/2, 
  -637/18, -355/144, -37/24, 319/36, 172/9, -523/72, 197/48, -617/72, -254/9, 
  -197/48, 82/9, -367/36, -385/24, 93/8, -187/36, -17/4, 85/9, -28/9, -113/9, 
  28/9, 17/4, -229/12, 97/18, 347/36, 1/8, 1/24, -157/48, -11/16, 1/4, 3/16, 
  7/72, 539/144, -13/16, -11/9, -89/72, 799/144, -7/2, -205/48, -299/72, 
  655/256, 7/6, -7/4, -3/2, -455/144, -9/4, 7/2, 455/144, -7/4, 1517/384, 
  23/4, 239/144, -41/6, -369/256, -1007/256, -1699/144, 319/128, 1699/144, 
  12659/768, 319/128, 1699/144, 369/256, 31907/768, 21/8, 3283/768, 
  39113/2304, -8, 53533/768, -17093/1152, -34711/2304, -5299/768, 51365/2304, 
  -8, 72245/1152, -90325/2304, 11, 347/24, -5/6, -715/54, -5767/216, -25, 
  -79/6, 5767/216, 697/24, 31/8, 15/2, 151/9, -1361/256, 1925/48, 21/8, 43/3, 
  2891/144, -8, -4141/108, 2863/48, -8783/288, 4141/108, -361/144, -407/24, 
  29839/1152, 3007/108, 156433/2304, -105781/2304, 145/12, 599/24, -1/4, 
  -100/9, -2027/72, 7/2, -329/12, -113/6, 2279/72, 58/3, -61/24, 41/3, 
  1711/108, -1735/72, -153/2, 79/6, 11/4, -18, -505/8, 779/4, 9, -53, -36, 
  151/2, 1475/8, -709/4, -1535/32, -3349/16, -5677/64, 20, 5773/64, 3983/48, 
  11/8, -11/4, -1799/576, 4697/192, -98219/1152, 3753/32, 13/8, -9/8, 
  -4721/64, -5/16, 477/64, -18907/48, -8461/1152, -9323/96, 83147/1728, 
  -75865/1152, 10979/96, -59999/3456, -1369/8, 121/4, -3635/96, -101347/576, 
  -311/144, 3751/48, 101347/576, -1289/32, 37307/96, 208517/576, -9661/48, 
  -2507/8, 3727/24, -245/144, 1103/32, -338/3, 21/4, -24791/96, 4091/144, 
  -53195/576, 31955/48, 9293/72, -10751/48, 23423/96, 29191/96, -8433/32, 
  -841/4, -9355/32, -37/6, 10589/48, 1219/32, -19/4, -3083/384, 25/32, 
  -13807/288, -24109/192, -1001/8, 119227/384, -703/64, -13/4, -17819/96, 
  19789/384, -3551/12, 6559/576, 10847/96, 745/8, -50797/576, 1911/32, 153/2, 
  17729/96, -41/48, -11417/96, -6709/96, 25/4, 5/2, 17675/96, -20365/384, 
  890/3, -2141/1152, -5449/48, -721/8, 27001/192, 11995/192, 965/8, 
  -17801/96, -31/48, 11345/96, -98023/384, 287/64, 7/2, 92, 61/2, -757/4, 
  -1547/4, 785/2, -2839/32, -36817/432, -4, 21/2, -27, -151/2, -97/2, 
  13199/432, -39689/288, -822175/6912, 149, 1547/8, 240521/1728, -785/4, 
  -163901/1728, 42343/576, 1844341/3456, -240521/1728, -2866507/6912, 12, 
  -79/2, -97/2, 13511/1728, -64673/288, -993625/6912, 319/4, 1547/8, 
  304241/1728, -785/4, -122603/432, 145879/576, 864167/1152, -297329/1728, 
  -4236305/6912, -7/4, -19, 133/4, 167/16, 52145/864, 45943/1152, 757/8, 
  499/8, -5351/64, -1581/8, 2603/64, 83905/1728, -449155/3456, 4839/64, 
  130607/1728, 1/4, 83/2, 11/4, 77/64, -67697/864, -36827/576, -675/8, 
  -1449/8, 3311/64, 1387/8, -495/16, 476507/1728, 1401013/3456, -5103/64, 
  -1206403/3456, -39/4, 61/2, 11/4, -201/64, 87/4, 3127/128, -62, 21/4, 
  225/8, -35/4, 2879/64, -447/4, -6095/32, -281/8, 21861/128, 11/4, -17/16, 
  -7/8, -9971/576, 17285/1152, -16837/288, -13283/144, -30245/576, 9/2, 
  -11/4, -3955/144, 6691/144, 17/16, 359/32, 3/16, 8423/576, -12535/24, 
  -8927/1152, 10123/192, 3955/144, 22685/128, 87149/576, 248965/576, 
  -257693/1152, -23/16, 33/8, 19/16, 9/8, 469/192, -1, -6271/576, 13/16, 
  -37919/1152, -45/16, -1327/576, 32735/1152, 11/4, 2531/288, 38413/384, 
  2963/72, 53/192, -9971/576, -32623/192, 6319/1152, -17449/288, -3611/288, 
  -134987/1728, 5561/192, 9461/72, -57599/3456, -3, -19867/576, -44887/1152, 
  9/8, 8089/128, 11/8, 9539/576, 98827/192, -14479/1152, 18133/288, 
  17707/576, 10799/3456, 33671/1152, -66361/144, 45947/1728, 9/8, 1645/64, 
  -7925/144, 11/16, -4159/128, -9/16, -833/36, 2627/48, 1837/144, -511/12, 
  -1501/64, 87697/3456, 2243/288, 14491/96, -79/72, 157/16, 3/8, -445/8, 
  -381/4, -157/16, 381/4, -5/2, -13/2, -365/16, 369/8, 7/2, 664759/1152, 
  -1/4, 387541/864, -676063/1152, -387865/864, -27/2, -644203/864, 
  -2179571/3456, 75/8, 13/2, -824239/3456, -349/8, -3, -527239/3456, 
  -541279/1728, -7/4, -333775/1152, -138061/3456, 514711/1728, 283159/1728, 
  426223/1152, 2905/8, 533719/3456, 179479/3456, 384733/864, 947359/1728, 
  903079/3456, 512551/1728, 2062931/3456, 170407/1728, 56975/864, 
  -486449/3456, -83383/288, -308359/576, -66079/576, -326887/384, -3613/4, 
  2141/8, 1727/4, -247511/192, -1065367/576, -913447/1728, -509959/1728, 
  -382627/864, 1715/8, -56327/864, 741295/1728, 384983/1152, 202591/864, 
  -45053/864, 320491/576, 684, -1458631/3456, -1671607/3456, 1455541/1728, 
  1124371/864, 930727/3456, 27501/1024, 19, -199/4, 123/4, 13/2, -6, 225/4, 
  11/4, -135/2, 15/4, 69/2, 1415/768, 19865/3072, 215/36, 1, -437/48, 3/2, 
  47/2, -3/2, -47/2, 0, -14, -325/24, 17, -1, -19/2, 11, 47/4, -29/2, -21/2, 
  -11/4, -37/8, -1/3, 443/48, 3437/768, 18349/1024, -3/2, -241/24, -13/8, -2, 
  773/36, 43/48, -1415/768, -11383/288, 341/192, 3029/192, 391/48, 
  -19865/3072, 95/96, 27501/1024, 15925/288, -101/192, -3199/96, -239/96, 
  1027/64, 57/4, 3/2, -1415/768, -30, -341/96, 1507/96, 11/4, -19865/3072, 
  -635/48, 27501/1024, 111/4, 461/96, -1157/48, 563/48, 221/32, -41/4, 45/8, 
  0, 79/2, -31/8, -123/4, -7/4, 0, 79/8, 0, -311/8, 83/8, 135/2, -49/8, 
  -69/2, -27/4, 63/8, 1325/768, 345/16, -37/8, -255/16, -11/2, 11693/1024, 
  35/4, 31/4, -237/8, 31/12, 357/8, -9, -239/8, 179/36, -101/48, -1447/288, 
  917/192, 5/192, 187/48, 167/96, 3577/288, -629/192, -391/96, -311/96, 
  163/64, -145/36, -775/48, 1447/96, 1087/144, -1/9, -913/96, -7/18, 27/32, 
  -423/16, 23/2, 8161/288, 123/4, -6, 601/72, 61/4, -1/2, -289/24, -91/16, 
  123/2, -67/16, -57/32, 283/4, -33, -19/2, 11/2, 3/2, 47/2, 0, 11/2, 211/12, 
  -59/4, 1/2, 27/2, -25, -91/4, 27/2, 45/2, 8/9, 3/4, 29/4, 123/8, 1/4, 
  -409/96, 3/4, 5/4, -13/16, -15/4, 0, -83/4, 3/2, 61/4, 33/2, 41/144, -5/9, 
  -907/96, 13/18, 313/32, 2489/48, 1, -8353/288, -151/4, -27/2, -11, -493/72, 
  11, 9/4, 1/4, 257/256, -49/12, -929/24, 1/4, -27507/1024, -89/24, 181/3, 0, 
  -129/8, 106201/3072, -257/256, 171/8, -90073/3072, 0, -179/3, -117337/3072, 
  203/3, 1685/24, 49/288, 49/144, 691/864, -101/576, 857/192, 1/4, 941/96, 
  -9799/192, -73/12, 4615/192, -991/16, 1/96, -137/192, 415/96, 505/32, 
  485/96, -1997/384, -95/12, -473/384, 599/64, 1561/48, 1817/192, -7607/192, 
  -35/6, 1457/96, 485/96, -641/384, -1609/96, -473/384, -2977/96, 1561/48, 
  941/48, -7607/192, 28/3, 383/32, 185/32, -2017/64, 731/32, -49/288, 
  -49/144, -691/864, -5/8, 5/16, -13/72, -17/36, 115/32, 433/96, 11/12, 1/12, 
  61/144, 49/144, -649/288, 1325/288, 293/144, 61/72, -9/4, 25/9, 147/32, 
  5/2, -157/36, -193/36, -95/12, 841/144, 949/144, -37/12, -529/72, -1/12, 
  737/72, 1757/288, 2945/576, 589/72, -1435/576, 19/8, -29/4, 79/8, 105/4, 
  -11/4, 29/8, -15, 115/8, 5/4, 29/8, 2, -10, 8, 749/96, -4141/64, -9/8, 
  -67/8, -701/48, -7/2, -28/3, 5, 782/9, 19/2, 109/64, -3371/36, -2365/48, 
  81/8, 1/96, -187/8, -137/192, 2023/96, -7/3, 101/48, 197/96, 751/96, -9/16, 
  -3/2, -41/64, 69/8, 2401/192, -615/64, -289/16, -239/96, 103/96, -575/192, 
  -1451/96, -3/4, 3/8, -27/4, -3/4, -7063/216, 1369/24, -1585/48, -235/48, 
  -99/32, 123/4, 13/2, -131/2, 11/4, -33/4, 11/2, -11/4, 33/2, 11/4, 3/2, 
  27/8, 9/4, 11/2, -11/4, -11, 3/2, 11, -1/4, -1/2, -11, 11/4, -55/2, 11, 
  33/2, 1181/144, -481/16, 711/32, -2233/96, -18829/192, -199/8, -7/4, 83/16, 
  -3/4, 1, -12, 3/4, 5/8, 109/16, 11/24, 367/48, -463/48, 10693/192, 
  -10243/192, -487/96, 3/16, -5641/96, -155/32, -87/16, -73/24, 285/32, 
  73/24, -199/32, -59/192, 2/3, 407/64, 1201/192, 45/16, -263/48, -203/48, 
  49433/2304, 4991/192, 347/192, 1/2, 479/64, -863/32, -10943/576, 2/3, -1/3, 
  -11/6, -1, 7/2, 1847/288, 21539/288, -20923/288, -1/2, -15/16, 53735/2304, 
  137743/2304, 15/16, -167/192, 1/3, 4/3, -5/4, -49/12, 1079/24, 1, 85/12, 
  23/12, -60, -131/12, 29/3, -2449/36, -18793/288, 229/12, -1651/24, 
  1495/288, 83/12, 2347/36, -743/24, -97/8, 14389/144, -521/16, 13877/144, 
  31751/576, 6323/64, -5435/96, -15157/288, 2449/36, 7019/144, 473/8, 
  -8189/96, 2935/24, 971/24, -14417/144, 28993/576, -67865/864, 16457/288, 
  1585/96, -3727/24, -1265/12, -3023/192, 925/12, -21/16, 6713/192, 3473/96, 
  33/16, -3041/96, -3473/96, -9, -647/192, 95/12, 465/32, -4449/64, -465/16, 
  29/24, 3547/96, -1399/192, -861/64, 695/16, -7087/384, -727/192, 
  -17629/384, -1231/64, 9/8, 2371/64, 611/16, -2267/384, 7837/96, 3289/96, 
  -5941/128, -4593/128, -5071/384, 57/16, -3721/384, 1253/128, -169/16, 69/4, 
  -203/24, 4847/96, -427/24, -3737/96, 2395/128, 1569/128, 3/16, 
  -214093/1728, -3/16, 3/2, 415/128, 1/2, 25/16, 37/4, 1097/64, -4/3, -25, 
  -2531/48, 4/3, 143/8, 6817/192, -59/24, -2233/48, -6025/192, 15/4, 2949/32, 
  9605/192, -4175/96, 6985/96, 135/8, -30661/384, -7007/192, -4021/64, 
  -3569/192, 9/8, 7805/192, 4931/192, 97/12, 4591/48, 125/4, -10735/384, 
  -11651/384, -185/32, 57/16, -149/12, 539/128, 25/16, -1/3, 721/192, 
  -101/24, 3/2, -155/12, 101/24, -11/4, 581/64, 5/4, -317/48, -2545/192, 
  15/4, 16/3, 5269/192, 17/12, 3233/96, 135/8, -15493/384, -7007/192, 169/48, 
  -619/192, 15/8, 127/24, 1397/64, -55/24, 5917/96, 753/32, -26063/384, 
  -13079/384, 785/96, 253/48, -805/96, 1963/128, -263/48, -459/64, 5561/192, 
  -215/32, -6101/192, 18451/576, 1433/48, 355/192, 2567/192, -23/3, 
  -2881/192, -19195/576, 301/32, 68743/6912, -17/16, 18661/384, 49/192, 
  -711/32, 1, -70927/3456, -9/4, -38773/576, 29/4, -3/8, 5/8, -101/32, -3/4, 
  186577/10368, -1/8, 7127899/34560, -6889943/103680, -187873/10368, 
  -764633/1440, 6734423/103680, 11197373/34560, -16165/384, 335599/6912, -4, 
  -886867/17280, -80437/1296, 5921663/51840, 8723/128, -2981/192, -61061/576, 
  -911/32, 48569/2304, -2204183/103680, -11071643/17280, 128329/5184, 
  -18510121/51840, 5769/64, 25/48, 10909013/34560, 6206209/25920, -4, 
  119599/6912, 173563/10368, -1/8, -13/32, -6552019/51840, -193975/10368, 
  5/8, 11149133/103680, -7/32, 11/4, 336283/6912, -4, -428849/2160, -6190/81, 
  11202053/51840, 5511/128, -2981/192, -36227/576, -911/32, 7188019/34560, 
  257779/6912, 55673/2304, -26588911/34560, -7949993/103680, 59/192, 
  8561/128, 187189/5184, -21774151/51840, 3339/64, 7604659/34560, -31/48, 
  -131/96, 5392159/25920, -7/6, -25/12, -4, 21/4, 4, -19/6, 19/16, -1489/96, 
  927/32, 22693/288, -1165/32, -1313/24, 49/24, 4, -101/12, -8, 9/4, -94/3, 
  119/4, 15/16, 1/4, 1/64, -15/16, -43/48, 5/3, -189/32, -24053/288, 707/9, 
  -185/48, 15/8, -1769/24, -33/4, -2, 27/4, 1/2, 1433/9, 2837/12, -173/48, 
  -597/2, -2837/12, -131/48, 2507/18, 11/2, -341/36, -50995/144, -2819/24, 
  13457/144, 65855/144, -2689/36, -2885/72, 2257/16, -25075/288, 1253/24, 
  -72733/288, -5771/16, -3/8, 87815/288, 22957/48, -1827/32, 73465/192, 
  4871/16, -315497/576, 39449/768, -701/48, -280639/768, 16499/192, 979/48, 
  -8/3, -4, 5, 4, -7/3, -1/4, -2839/36, -2837/24, 17/96, 2441/36, -21/8, 
  85/18, 2225/16, -10915/288, 1313/24, 79/24, 5/2, -37/12, -1, 11/4, 
  16777/144, 17641/96, -6943/72, -3025/48, 3/2, -15/16, -1/4, -12451/192, 
  15/16, 41/8, -19/4, 3/8, -1/2, 19/4, -49/16, -203/24, 985/192, -3/4, 
  361/192, -883/48, 857/192, -161/64, -407/128, -79/32, 2907/256, -13/32, 
  13/32, -5201/768, -2531/192, -11/96, -1153/128, 1855/768, 11/768, 1013/768, 
  109/256, -7/24, 7/6, 7/8, -3/4, -97/48, 223/96, -5/8, -221/48, -25/576, 
  -89/12, 365/96, -515/192, -61/192, -221/96, -1605/256, -11/96, -21101/2304, 
  119/768, 71/768, -5/12, 1/2, -5/24, -13/96, -19/32, 103/24, -7/16, 1/3, 
  1/6, 127/96, 81/32, -5/24, 25/24, 4, 13/96, -131/12, 139/16, 1/6, -31/6, 
  -235/96, -11/24, 1/8, -193/24, 1/12, 5/24, -5/12, 5/12, 5/12, -5/12, -5/12, 
  1/3, 5/12, -1/3, 3/8, -5/8, 3/8, 13/8, -1/2, -5/16, 1/4, -5/48, 1/2, 5/16, 
  5/48, -3/8, 5/16, -39/4, -11/48, 87/8, -5/48, -3/16, 433/48, 5/48, 5/16, 
  -1/2, 1/48, 39, -173/4, 5/12, -215/6, -5/12, -39, 44, -5/12, 427/12, 5/12, 
  1/4, 1/4, 2465/24, -435/4, 4883/24, -91/6, -4105/12, 42989/48, -367/12, 
  6125/6, 767/2, 23/4, 1775/12, -14755/48, 1681/24, -34307/48, -14123/24, 
  103/8, 2229/8, 621/8, -531/16, -5/12, 173/48, 65/16, 185/16, -95/96, 47/32, 
  -187/192, 13/16, 5/6, -245/48, -679/16, -181/32, -569/64, 769/32, -3/4, 
  2773/96, 10/3, 1/3, 39/16, -1553/96, -5973/32, 1205/96, 35/3, 475/48, 
  -55/48, 799/96, -913/96, -2, 17/8, 1427/96, -233/32, -25/12, 5/24, 5/6, -2, 
  11/12, -199/6, -997/24, 1/2, -2/3, -19/6, -9/2, 5/12, -5/3, -4, 11/4, 
  251/6, -75/8, -1/3, 14/3, 7, -3/2, 2, 38/3, 3/2, 0, -3/8, 235/12, -21/8, 
  -47/96, 1265/24, -1095/16, 65/96, -1481/16, 23/48, 1/2, -15/4, 1/8, 
  -275/96, 13/16, 641/32, -3/4, 93/16, 125/48, 1/3, 45/16, -113/3, -5255/32, 
  2453/96, 10339/96, -5/48, -77/24, 601/16, -965/96, -23/48, -103/24, 
  -473/96, 243/32, 15/4, 5/24, -5/12, -3/4, 155/8, -23/8, 17/12, 493/16, 
  -1053/16, -5/4, -221/16, 15/8, 5/6, -77/12, 1/24, 673/32, 13/4, -401/48, 
  -3/4, 259/48, -1313/96, 1/3, 211/48, -1651/24, -17981/96, -11/12, -367/16, 
  -1/4, -2195/96, 2573/48, 211/12, 271/32, 367/48, 2627/48, -115/24, -23/8, 
  -35/96, -4307/1536, 12849/2048, -1655/96, 6995/1536, -19603/6144, 1655/96, 
  5/4, 5/12, -5/12, -5/12, 5/12, 59/16, -59/16, -149935/9216, 1043/96, 
  -67/32, 3/8, -234439/9216, -389/128, -491/128, -81/16, -46255/9216, 
  -279/32, -43/8, -1899/128, -3707/576, -91997/3072, 68801/1152, -51687/1024, 
  -49969/1152, 1441231/9216, 119005/1152, -50605/1152, 173/96, -149935/9216, 
  1043/96, -67/32, 3/8, -107/16, 99/32, -55/32, -103/12, 105/32, -491/128, 
  -81/16, -46255/9216, 139/16, 113/384, -43/8, -1899/128, 11/16, -1691/576, 
  -264103/4608, 2815/96, -349/96, 73121/1152, -226757/3072, -49969/1152, 
  309607/9216, 1203439/9216, 116497/4608, -17051/576, 144973/3072, -275/216, 
  11/48, 73/192, 275/216, -89/48, 455/192, -4, -5, 5/12, -1/3, -5/12, 1/3, 
  -4, -2/9, -5/8, 299/72, 125/32, 235/144, 37/32, -1469/24, -323/36, 6047/96, 
  145/18, -1/2, -175/3, 605/72, -7759/144, 205/72, 523/9, -319/24, 21065/288, 
  -4967/24, -103007/1152, -13481/192, 16513/288, -2429/8, -126991/1152, 
  55735/384, 73201/384, -65/16, -13/8, 9/8, 37/16, 17/4, 3/2, 5/4, 53/4, 1/4, 
  -1/8, -7/8, -13/4, -55/4, -5/4, -147/16, 35/8, 9/16, 65/4, -3, -15/8, 
  -61/48, -1439/48, -47/24, -4243/48, -3097/64, 7/8, -35/12, 543/16, 1719/64, 
  -5/12, -1/6, -2599/96, 5/12, -3/2, -415/96, 1747/48, 3991/96, -35/24, 
  115/96, 1/4, 3/8, -349/24, 7/12, 39/2, -107/16, 39/2, -491/16, -21, -18, 
  -27/2, -7/4, 107/16, 3/2, 5/12, 1/3, -5/12, 35/12, -1/2, -7/6, 11/12, 9/8, 
  143/32, -7/12, 75/8, -25/32, 1129/24, 1, 5617/96, -251/32, -37/16, -33/4, 
  -29/12, -27/2, 647/32, -89/32, 17/6, 143/24, 29/8, -23/16, -131/12, 
  -113/32, -3/2, 105/32, -4279/96, 5125/32, 563/24, 239/96, -583/96, -13, 
  -29/24, 7/24, -31/8, 1/16, 7/12, -59/96, -25/6, 37/24, 21/4, 313/6, -5/2, 
  -133/32, 47/16, -19/6, 10/3, -15/8, 251/32, 167/16, 5/48, 53/24, 3, -5/48, 
  -4/3, -43/48, 119/24, -23/4, -10133/96, 159/32, 67/24, -769/96, -21/32, 
  -131/48, 145/96, -229/48, 5089/96, 141/32, 179/48, -27/32, 751/36, 
  -3533/96, 571/48, 9439/512, -198953/13824, -49657/2304, -122009/6912, 
  -137839/18432, 983/384, 44509/6144, -733/96, -11171/1152, 401/48, -37/12, 
  -30119/576, 6139/48, -61901/576, -6227959/55296, 3/4, 3/4, 11/2, 43349/576, 
  187067/2304, 395/144, 637/12, -723901/9216, 28673/288, -5587/144, -115/12, 
  2625/64, 731/12, -388717/2304, -4387/72, -86269/216, -73181/216, 
  27841/1728, -611/9, 19949/288, 92207/432, 1189/72, -93025/1152, 5407/768, 
  1763/144, 604103/3072, 47507/1152, -2245/96, 25505/96, 95611/2304, 
  -11570239/27648, -422749/2304, -224429/2304, -679/36, -11135/144, 
  323471/2304, -49/288, -1583/288, -41/12, 347/24, 7/6, 7/4, -19031/1728, 
  17/27, 583/36, -391/72, -4, -39253/1728, -19793/432, -203/18, 11207/288, 
  33841/4608, -21881/4608, -21/32, -349/192, -9/4, -953783/13824, 
  -122981/3456, -83/192, 99545/1728, 43693/2304, -785/192, -3/2, 139901/6912, 
  -17441/2304, 173/72, 6736739/82944, 1/2, 43/24, 1/16, 16013/768, 6817/1728, 
  -1732739/82944, 3113/384, 2725/1152, -6731/128, 19/18, 36617/1152, 
  20273/4608, 350933/13824, 35/24, -859/144, -615347/13824, 431633/13824, 
  1447/144, -20/3, -150053/2304, -425/96, 1495/3456, 27/32, 1183/72, 
  10223/288, -11105/2304, 22/9, 1579/768, 6453347/82944, -35/48, 23/24, 1/16, 
  -335/18, -123167/2304, 1255/256, 4525/1728, -2020739/82944, 3169/384, 
  3173/96, 14473/1152, -58043/1152, -493/48, 713/72, 35327/1152, 1961/1152, 
  -5317/1536, 171797/13824, -19/24, -187831/4608, -236531/13824, 
  486289/13824, 441737/13824, 39589/2304, -150053/2304, -569/96, 109123/6912, 
  79/48, -7567/6912, 60563/2304, -11969/2304, 1/16, -3526043/248832, 
  6855203/82944, 21/16, 2249/384, -5/8, 731/96, -11077/432, 7925/768, 
  -7031/432, -3873323/82944, -5/24, 1553/96, 4681/1152, -14735/576, -509/48, 
  -181/144, -461/3456, 35177/1152, 5/12, 936445/13824, 2273/288, 
  -187651/13824, -214105/13824, 353471/13824, -139/144, -141413/2304, -1/4, 
  26153/6912, -1/4, -12235/384, -697/384, 11207/576, -173/64, -2969/192, 
  -907/192, 15059/576, 4523/192, -33521/576, -245/64, -985/192, -369/16, 
  461/96, 19871/384, 267/32, 77383/128, -33907/192, -35999/64, 505/96, 
  3395/192, 35701/288, -869/32, -2967685/3456, 46369/288, 420565/288, 
  -67367/576, -517967/576, -25519/9216, 53981/1152, 2341/384, 183739/36864, 
  2035493/27648, -6631/72, -293537/768, -50521/1152, -3305/192, 931345/6144, 
  112111/576, 293537/768, 157/16, -59063/576, 0, -183529/12288, -8681/384, 
  14259/128, -14379565/110592, 16468951/27648, 293417/512, -2431795/18432, 
  -56489/288, -19254077/55296, 17197/192, 4935695/36864, -5796755/27648, 
  -967687/1152, -658265/18432, 3678673/13824, 150511/9216, -151/24, 
  -6929/288, -713/192, 13655/9216, 37079/2304, 8813/576, -2131/512, -847/256, 
  -3/32, -49309/3072, 1393/96, -437/64, 47785/4608, 2545/192, 2419/256, 
  -611/1152, 40/3, -10775/576, 25/6, -42397/768, 1950869/13824, 7225/1152, 
  -58257997/110592, -586619/1024, 293505/512, -416227/18432, -3869/36, 
  3811691/6144, 8683/72, 216700543/331776, 19160269/27648, -964933/1152, 
  -7133749/13824, 3682129/13824, -11/16, 439/144, -6311/288, -713/192, 25/32, 
  72991/2304, 2987/576, -189/32, -1911/256, -3/16, -69157/3072, -625/96, 
  -437/64, 7871/1536, 3217/192, 4345/768, -4787/1152, 40/3, -11903/576, 25/6, 
  5309/4608, 2929181/13824, 16549/1152, -161545/12288, -6632963/9216, 
  7521/512, -661363/18432, -31927/288, 4499627/6144, 16595/144, 
  -35435021/331776, 23530669/27648, 79585/128, -8724085/13824, 
  -8757287/13824, 73/48, 1517/96, -811/32, 199/24, -3415/96, 323/16, -75/4, 
  -6473/96, 275/24, -19/16, -1727/96, 355/32, -4223/48, 109649/864, 
  -30851/576, 43/12, -12163/288, 123391/1080, 23/6, -2009719/3600, -53/24, 
  -1313731/21600, -1/16, 24031/72, -10987/144, -23633/13824, -1386451/23040, 
  0, -123391/1080, 232191/400, 1542631/21600, 35/18, -38959/13824, 7843/288, 
  253/36, 9/8, -95/24, -485/216, 11718659/34560, 11608019/23040, -307/48, 
  67/72, 12471539/69120, -5/96, 2179/432, -73/32, 16181/72, -12315809/138240, 
  -46193933/46080, -539/54, -27068317/69120, -1537/108, -5873171/23040, 
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  -11137699/23040, 1562983/2700, 1487/96, 1510231/21600, -1231/72, -161/8, 
  8203/288, 7/8, -37/16, 1387/144, 11665619/23040, -341/48, 985/144, -133/16, 
  10171/36, -46435853/46080, 1403/32, -6919/72, -95/4, -22939/72, 
  21883073/46080, 45911/288, 1137811/23040, 95/48, -2497/72, -3818633/3840, 
  103/6, 925/144, 15/2, -31051/144, 50242031/34560, -263/18, 
  -50145779/138240, 3607/144, 10808419/23040, 151/72, -10942417/27648, 19, 
  21/8, 3283/768, 39977/2304, -25/6, 447/32, 1229/48, 389/96, 4859/96, 
  2625/64, 3265/48, -37315/2304, -3317/144, 120133/3456, -4085/96, 
  -76181/1728, -6275/72, 5495/288, -239/27, 4543/144, -5299/768, 51365/2304, 
  -397/48, -811/48, -2011/96, 159235/2304, -32375/2304, 2607/128, 
  -146659/2304, -90325/2304, -31/12, 182725/2304, 1489/256, 221/384, 
  -3065/144, -23/48, -26239/3456, 859/72, -19/6, 5155/108, 3645/64, -3955/48, 
  4487/288, 191/12, -15085/864, -1281/64, 4795/144, -505/48, -11, 1051/192, 
  -1601/144, 589/54, 2039/128, -2347/96, 19, -77141/1152, -10169/432, 
  -553/24, -205/24, 10009/144, -229/18, 7667/768, -1925/48, 1411/48, 
  5819/144, -3031/144, -953/48, -10645/144, -6797185/82944, -20227/288, 
  4783/144, 20143/432, 75/8, -1141/18, 4997/288, 5191/72, 284363/864, 
  60067/216, -17389/432, 4673/144, -8467/144, -178291/864, 59/9, 117745/1152, 
  75109/768, 3089/144, -5759551/27648, -12617/864, -73/16, -9715/32, 
  -394421/2304, 10587839/27648, 426013/2304, 317213/2304, 899/12, 3101/48, 
  -48289/384, -1925/48, -3/8, 655/24, 67/6, -889/48, -17/8, -24835/432, 
  -2903/72, -5/16, 12013/432, 23/16, -389/24, -1595/36, 2363/36, 7193/144, 
  14935/96, -12661/432, 241/9, -7495/144, -33193/288, 121/18, -34, 1483/72, 
  25/36, 5297/216, 29/18, -31/12, -302585/2304, -111679/768, 10853135/41472, 
  130319/768, -1993/72, 2885/48, 263/24, -135427/1152, -3059/72, -1257/32, 
  -2139/16, 347, 679/4, 679/8, 742795/256, 19061/32, 530717/192, 2051251/384, 
  4399/8, 51/4, 17657/96, 10135/96, 41837/192, 1285/8, -2551/24, 96533/128, 
  2539/8, 62221/96, -3585/16, -3/2, -1251/8, -11353/48, -69361/96, -33, 
  -41575/64, -272411/96, -6823/16, -248461/48, -701/2, -16, 43, -685/4, 
  4245/32, -32, 657/2, -6143/16, 169/4, 2761/4, -3, -51/4, 66, 7/2, -3559/64, 
  -1181/8, 1195/8, 10899/32, -1131/2, -5739/8, 903/8, 18821/108, -56725/864, 
  -809/48, -60773/192, 47/8, 51/16, 67/4, -121/2, 307/2, -3559/64, 439/64, 
  123/2, -1903/4, 10899/32, 3223/32, 2811/8, -5739/8, -2279/32, 903/8, 
  631/16, 302945/1728, 95777/432, -461/3, -192409/864, 8107/96, -4365/16, 
  -535873/1728, 85/16, 85/16, -3225/16, -7889/8, -11961/8, -45/4, -991/8, 
  5049/32, 16, -218627/1152, 1968559/2304, 125/4, 633179/576, -157/4, 11/4, 
  189/16, 995/8, -311/2, -17891/576, 57065/1152, -516565/576, -54749/192, 
  -1390103/1152, -85835/288, -109/24, -116315/576, 46607/48, -259/16, 
  -300133/1152, -25/4, 7961/576, 29/2, -76201/576, 1881/16, 401/8, 41795/576, 
  1273/24, 174997/1152, 148669/288, -7457/576, -133/32, 373/32, 236485/576, 
  -601/96, -338707/288, 245/16, 40087/1152, 201389/1152, 41/8, -1768447/6912, 
  1339399/6912, -4664185/6912, -739025/6912, -2037/8, -522055/3456, 
  -263935/3456, -6402269/6912, -4142579/13824, 377155/864, 101665/864, 
  19913267/13824, 10129/12, -1185631/4608, 27319/48, 2/3, 29/4, 
  -3696323/6912, -1397939/13824, -87/4, 373/4, 6767423/13824, 215/12, 
  7047487/13824, -24575/48, 1205/432, 65837/288, 1315/4, -1429/864, 
  -210907/480, -3941/12, 176/9, 152053/720, -5521/288, -323863/1440, 
  -454243/1440, 13108103/28800, 9466811/57600, -22568147/86400, 594377/2880, 
  4897447/17280, 2797123/19200, 854447/51840, -31925/144, 6963/32, 2143/16, 
  -399613/768, -10801/144, -1729531/1440, -234641/768, 16139191/11520, 
  14677243/11520, -85097/192, -60697/256, 571/16, 202571/768, 1/4, 99/16, 
  -89/6, -19/16, -17/4, 65/32, 121/96, -23/6, -195/8, 881/96, 743/96, 
  -503/16, -101/8, -17/16, 2993/96, -83/32, -137/32, 689/16, 239/8, -757/24, 
  -285/16, 75/32, -1875/32, 567/32, 2211/32, -193/16, -207/16, 1017/32, 
  -589/32, 339/32, -3, 6, 3, -305/384, -1975/128, 53/24, 627/64, -5945/192, 
  -551/24, -1143/128, 677779/9216, -7511/144, -11207/576, -48635/1152, 
  6437/144, -334235/9216, 70271/1152, 9129/128, -11071/1152, 172399/13824, 
  -567923/20736, 5029/768, -1561/160, 3635689/165888, 18317419/34560, 
  1605437/23040, -46290343/34560, -68087/1152, -8989/3072, -1518161/69120, 
  11531465/165888, -7336597/13824, 2223/32, 1389/16, -699199/6144, 
  -39458791/55296, 66629833/55296, 22786039/165888, 175133123/138240, 
  -7049/96, 201684071/276480, 122395597/138240, -101913313/138240, 
  -41373187/55296, 599/96, 53271139/207360, 1896215/165888, 5125/768, 
  -18182599/34560, -936463/3240, 2694793/165888, 32150611/17280, 486479/7680, 
  -46287103/34560, 14735/384, -6586463/55296, 6625/1024, 123133327/207360, 
  11231369/165888, -7551973/13824, -2021/32, 7921/96, 1919/24, -8/9, 
  46063267/82944, 753753379/829440, -728383/6144, -243183541/829440, 
  -39767815/55296, 66620329/55296, -49036759/82944, 21313783/165888, 
  179894723/138240, -21157/288, -40827715/165888, 201567431/276480, 
  122099677/138240, -104953153/138240, -41373187/55296, 563/96, 
  51323329/207360, 2059511/165888, 5125/768, -281897/768, -29355971/103680, 
  2870617/165888, 14720077/8640, 1179457/23040, -46207543/34560, -499/192, 
  -6312767/55296, 6625/1024, 132412147/207360, 13387625/165888, 
  -7929229/13824, -5429/144, 7921/96, 3739/72, -8/9, -55607519/414720, 
  693820189/829440, -768463/6144, 470920423/829440, -36407605/55296, 
  63704713/55296, -44302615/82944, 17626519/165888, 173619323/138240, 
  -11123/288, -765441163/829440, 190771421/276480, 130299637/138240, 
  -93933193/138240, -41816467/55296, 29/12, 1, 1/24, -1, -67/24, -71/36, 
  37087/160, 25549/120, -20/3, -1782011/9600, 1831/96, -301663/1440, 
  -55091/240, 2082511/9600, -4157/240, 965/144, 3869/288, 111/4, -251/24, 
  15623/576, 149/16, -188513/1440, 309419/480, 4531733/28800, -468269/480, 
  -1205/12, -129/8, 4315/144, -77891/96, -1169/24, 451/108, 53/48, 
  -692491/1440, 9239/96, -4537/432, -3935/288, 5463043/11520, 4055/288, 
  457/192, -1265/288, -10369/192, -8425/128, -25/4, -5299063/11520, 
  2178437/86400, -1865/384, 7889/720, 2425/324, 149/16, 2607869/2880, 
  -316673/768, -223/6, -1790951/3840, 637/144, 33445/576, -5498023/11520, 
  -497287/1280, -7899/128, -1136587/2880, 82233/256, 29/2, 5835043/11520, 
  -5/2, 14/9, 1175/6, 2157/8, -985/96, -103901/288, -3253/12, 92/3, 
  47081/288, -683/32, -21997/144, -11603/24, -6385/24, 47755/144, 132991/288, 
  -13241/72, 21341/144, 2519/8, -43567/288, 9/4, -5867/36, 690641/1440, 
  -433/4, 2423/36, -1420271/1440, -829/12, -560573/360, -247889/180, 
  492727/480, 77861/45, -1132781/1440, 87, 779/16, 1116221/1440, -9/4, 77/36, 
  -20/9, -97/6, 55/72, 641/48, 5/4, -11515/72, -6355/24, 497/96, 45007/288, 
  -203/12, 23297/144, 2507/8, -54023/288, 5/2, 167/24, -1247/36, -217/4, 
  -277/16, -1527/32, -67/8, 12343/72, -500083/360, -1699/12, 611773/360, -12, 
  173/4, -7/72, 604363/360, -75/4, -27/2, -16/3, 387/16, -55/12, -247/48, 
  -335/12, -3, -353/48, 521/12, 21/2, -7/2, -227/8, -4/3, -167/24, -1/3, 
  -4/3, -61/12, -101/6, 3/16, 541/24, -601/48, -515/24, 11/3, 307/24, -5/12, 
  -89/8, 17/24, -18, -4, -13/6, 143/8, 5/3, 3/2, 325/16, -43/8, -1223/16, 
  81/8, 9/8, -91/8, 79/16, -21/8, 9/4, -27/4, -9/4, 81/16, 124/3, -21/16, 
  -3/8, -159/32, -5563/96, 15/16, -19/16, 803/96, -229/32, -225/16, -167/4, 
  21/16, 4085/96, 805/32, -1841/96, 219/16, 9/2, -143/4, -75/16, 267/32, 
  123/32, -173/32, -123/32, 25/16, -201/16, -123/32, 41/32, 135/32, 15/4, 
  -3/4, -15/4, -181/32, -103880063/414720, -7277063/165888, -511/96, 
  282041/768, 129306359/414720, 4530911/165888, -14717917/8640, -245009/2880, 
  46205383/34560, -6595/576, 2036563/18432, 949/1536, -181843211/414720, 
  -23655797/165888, 4086263/6912, -20101/384, -73757/576, 105835/1152, 
  2687/32, -821099/15360, 36383/576, -37/96, 371383/5760, -43315/576, 
  1211/192, -216767/46080, -8551/576, 193/128, -80281/1152, 1395/64, 577/64, 
  97/16, 20113/1152, -185/16, -117/8, 8831/192, 5/16, -342421/4608, 77/48, 
  -809/96, -7655/144, -775/32, -4435/96, 1265/32, 1046539/15360, -409/48, 
  -277/192, -12301/576, 1205/192, 21/32, 1399/576, 3199/288, 71/4, 
  1014575/36864, -6136937/55296, 65321/144, -2555353/27648, 19469671/55296, 
  -1496443/36864, 194725/12288, -13955/2304, 110689/36864, -479687/18432, 
  -173965/6144, -1163/144, 1116631/110592, -1498819/13824, 1481231/6912, 
  5899109/36864, 61/24, -30437/6144, 134437/12288, -335/48, 44863/36864, 
  171/32, 415/36, -637703/18432, -108527/18432, -431/36, 779/48, 
  -749275/55296, -420599/18432, 50003/1728, 135151/3456, 124591/18432, 1/8, 
  1073/18432, 4349/288, 1/8, -588799/18432, -4349/288, 463135/18432, 
  -33943/18432, -1625/1152, 145/48, 96601/3072, -16403/1152, -195935/18432, 
  -12709/1152, -2077/192, -33847/1152, 2911/96, -237355/9216, 232147/9216, 
  -1607/384, 345691/9216, -155/16, 179179/9216, 221/36, 583/64, 11/24, 5/2, 
  667/144, 355/48, 207535/18432, -140623/9216, -4883/144, -265207/9216, 
  381695/9216, 662095/18432, -23/12, 2725/864, -1215/64, -213415/6144, 
  6537/128, -746477/18432, 59/8, 11353/288, -56921/1152, -41/6, 
  -117679/18432, 119/16, 1/8, -443611/9216, 349171/4608, -121381/2048, 
  -235625/18432, 3707/1152, 38909/2048, -9815/1152, 144331/9216, 3773/384, 
  -308155/9216, 165871/4608, -28739/1536, -30239/576, 9/64, -69529/4608, 
  62341/1536, 46493/576, -31315/768, -463/256, 3379/384, 76057/4608, 7527/64, 
  -857/96, 124193/4608, -4093/64, 10505/768, -26257/576, 1415/64, -5297/576, 
  -25/4, 633829/10240, 17439469/276480, -31307/192, 3025247/46080, 
  -57708443/92160, 6293/96, 3631843/11520, 241961/576, 57049283/92160, 
  -70241/288, -2756363/8640, 5466379/13824, 281961/256, 27269101/276480, 
  -3729553/6912, -41/24, 156079/4608, -32417/576, 9/64, 57/16, 13223/4608, 
  24757/288, -3/8, -10723/256, -15/16, -187375/4608, 12271/96, -857/96, 
  -8135/4608, -609/8, 12811/256, -31633/576, 1415/64, -4085/576, -25/4, 
  197563/18432, 34886029/276480, -32299/192, 251/8, -57342683/92160, 3447/64, 
  2715563/11520, 234881/576, 51612323/92160, -51125/288, -45090407/138240, 
  5498635/13824, 836711/768, 26252461/276480, -3768721/6912, 191/16, -705/16, 
  725/32, 25675/96, 197/48, -2723/48, -1/36, 23/24, -17/12, -21031/288, 
  8190527/43200, 137293/720, 16/3, 50/3, 13/18, 44/3, 6, 7/4, 27/8, 5/4, 
  5051/288, -107854681/92160, 85163/576, -9850697/30720, -3038717/28800, 
  -2383/72, 37259509/92160, 7283581/18432, 4439/288, -44/3, -2, -4, 335/27, 
  293831/4320, 717505/6912, -107271241/92160, -755/24, 8381677/43200, 
  -150584107/276480, 3011/72, -18565477/86400, -1945/288, 1915/24, 
  -4299677/34560, 34190209/92160, -17861/48, 146442581/276480, 60169/432, 
  -957/8, 38099/864, 1498387/13824, 1277/81, -292211/4320, 78839/3456, 
  -87554041/92160, -438277/43200, -653970713/276480, -18538027/86400, 
  1976213/8640, 476152879/276480, 8215265369/4147200, -164891/17280, 
  -882959/6912, 91977121/46080, 13831103/4608, 4603129/13824, 1417/12, 
  1139/288, -56083583/414720, 20343289/165888, 125/96, 2505737/6912, 
  64916759/414720, -19936921/165888, -14676787/8640, -63739/2880, 
  46130503/34560, -52741/576, 15119383/92160, 6267389/46080, 
  -674420407/2073600, 634299871/4147200, 4032635/6912, 2818999/23040, 
  -3989443/23040, -698327/86400, -350819/23040, -233/72, 76/3, 6, 67/8, 
  -32/3, -31/6, 547/144, -29461/288, 6264659/46080, -637/96, 5338801/43200, 
  -13/3, 2387/36, -3631021/46080, -6721201/43200, -1487219/23040, 179/72, 
  -523/12, -2, -37/4, 97/4, -67/12, 26035/288, 121553693/138240, 
  -2300401/43200, -19139833/17280, 73/4, -4, -61/12, -14202383/13824, -5/24, 
  -5/24, 43/48, 3, -11/16, 9/8, -63/32, 5/24, 1/2, -41/12, -5/9, -83/36, 
  1229/144, -1/6, 1/12, 29/72, -131/72, 1/3, 1/6, 5/24, 13/24, -1/8, -15/8, 
  589/144, -37/2, -9/8, -5/12, -3/4, 61/48, -1639/288, 3805/1152, 3/8, 1/2, 
  -1553/576, -1/6, -1/3, -37/48, 3/8, 8663/576, 35/48, 3/8, 37/48, 
  -943267/10368, -1/24, 9/4, 2/3, -479/24, -1471/288, 233/16, -3, -31/16, 
  20209/432, 8399/288, 31/2, -9337/432, 50/9, -61/32, 25/24, 33/16, -7/6, 
  3001/144, -5893/144, 157/48, -2209/144, -6419/192, 38/9, 3955/432, 
  -10915/192, 131/96, 1/2, -439/288, 23/24, 1345/144, -6881/288, 26041/576, 
  0, 1/8, 457/288, 0, 163/8, -511/48, -5/18, 15/4, -5393/216, 2057/288, 
  -889/24, 199/24, 85/72, -23/16, 17/144, 15187/192, 257/36, -83915/1728, 
  12053/576, 2951/288, -7367/288, -731/288, -5611/288, 4543/288, 4537/288, 
  -887/24, -3/4, -97/12, 257/24, -2, -4159/192, -201/4, -8533/216, 3121/576, 
  371/18, 2, 2507/144, -73/24, 109/16, 183/8, -1/8, 31/4, 157/8, -183/8, 5/8, 
  -73/48, -423/16, -11/16, -51/16, 3/16, 163/8, -257/12, 3/8, -25/6, 
  -4153/96, 119/3, 35/8, 5867/96, 8/3, -209/24, 13/4, 135/4, 17/4, -1143/32, 
  -9/2, -100/3, 7/4, -41/6, -35/2, 13/12, -155/24, 19, 1/3, 91/6, 3/4, -17/2, 
  171/16, 805/96, 571/48, -283/48, 173/24, -5/6, 249/16, 57/16, 87/16, 41/24, 
  -77/32, 25/24, 0, -3/2, -4/3, 425/96, -121/32, -71/24, -2, 121/24, 
  -141871/13824, 278905/10368, -197/384, 11/24, -25450411/207360, 
  -409403/10368, 143/384, -311/192, 24762511/103680, -42233/2592, 151/192, 
  -10334993/103680, -3/16, 4225/864, 875/576, -231079/13824, -161699/10368, 
  5417/1152, -6627589/51840, -16487/1296, 10979753/103680, 13/24, -97/6, 
  6023/432, -6145/576, -32249/864, 13/24, -211/12, -53201/3072, 
  4393253/207360, 616663/5184, 25894651/103680, 4914257/23040, -14825/1152, 
  -2928553/3240, 12047063/103680, 1517/384, -136267/576, -6035189/20736, 
  413/384, -94754011/207360, -373/1296, -11223833/51840, 622961/3456, 
  -1199/576, -1085/576, 191/12, 18972473/138240, -5612719/20736, 
  -1042063/2592, -3113/576, -2117/192, 45719/17280, 1523/576, 
  10457123/103680, 11869/432, 1846997/5184, 3293/384, 1787/1152, -7/24, 21/8, 
  4, -19/4, -4, 29/12, 6137/72, 6317/48, -35/24, -31/16, -15529/96, 
  -12559/96, 191/64, 22135/288, -235/192, 863/96, 31/6, 6563/576, 12307/96, 
  -24707/576, -13/24, -35/12, 2623/48, -13/24, 1/3, 125/48, 11/4, 17/48, 
  -3/4, 11/8, -25975/288, -8971/48, -427/16, 67337/576, 10133/96, -15023/192, 
  2365/36, 1171/8, 39341/1152, 3841/192, -5/8, -5/16, -5/4, 46813/2304, 57/4, 
  -191539/2304, -18979/384, 5/8, 163/16, 1/6, -11/12, 1/12, 3/4, 13/12, 1, 
  -8/3, -1/6, 7/4, -3/4, -5/12, 2/3, 4/3, -85/72, 139/32, 1049/144, 73/144, 
  3737/192, 337/64, 5/6, -11/12, -5/12, 767/144, -661/64, -581/48, -3/4, 
  1/12, -221/72, 1/3, -1/6, 29/12, -1, 13/12, 11/3, -7/2, -5/2, -5/12, -23/6, 
  -13693/2304, -2255/288, -29269/2304, 19/12, 17/12, -3899/2304, -1, -3/2, 
  -13/6, 11/3, 43/12, 3413/2304, -25/12, -5/24, -9/2, -217/48, -17/16, -5/12, 
  -5/6, 31/8, -15/4, -5/72, 7, 31/8, 5/24, 119/24, -25/2, 1/9, -83/24, -5/72, 
  -77/18, 0, 1/36, 5/24, 3667/1152, 673/64, -31/12, -295/48, 25, -79/4, 
  -35/72, -1987/144, -19/9, -1025/144, -15/16, 11/36, -83/48, 407/36, -1/36, 
  -115/72, -3253/384, 25/4, -2909/144, 177/8, 173/72, 7829/576, 8207/432, 
  -49/72, 77/48, -7/4, -11/8, -71/48, 29/12, 1547/16, -2441/32, 835/96, 
  2401/32, 3091/12, 14677/96, -3641/32, -15871/96, -7069/48, 13579/32, 
  8903/24, -41375/48, -89273/96, 39575/96, -30, -433/12, -1255/12, -43399/96, 
  -31529/48, 35267/48, 99337/96, -173017/96, -68357/24, 18523/8, -23/2, 349, 
  24397/24, -11457/8, -27723/8, 431627/96, -4033/6, -23203/12, 100601/24, 
  11615/6, -1539/16, 3341/16, -1327/48, -17/8, -3155/96, -759/2, -683/24, 
  6167/8, 33991/32, -179/16, 431/48, -633/4, -10655/96, 83335/96, 168473/96, 
  -95665/96, 8125/24, 33647/48, -80641/48, -10969/24, -12511/96, 22099/96, 
  -23/4, -10363/96, -20675/32, -58943/96, -5995/48, -30485/96, -37039/96, 
  6705/32, -133, 1199/16, 9205/16, 1095/4, -104, 5/24, -37/48, -1/3, 5/12, 
  -473/96, 61/24, 7/2, 5/6, 863/96, -3899/96, -13/8, 147/64, 3/2, -1/8, 
  -125/48, 2/3, -5/24, -985/96, 25/24, 61/8, -11/192, -149/24, 11/12, -1, 
  1/8, 45/16, -19/6, 13/12, 1/6, 5/12, 1/8, -277/24, -231/16, -7/32, -85/96, 
  17/32, -143/48, -7049/192, 1/12, -7/12, -35/16, 1685/48, 199/96, 6007/192, 
  -31/48, 3/8, -2021/96, 1/24, -1/6, 1/8, -63/32, 1085/48, 245/48, 347/12, 
  -29/24, 7/24, 377/96, 25/16, -1/24, -5/24, -123/8, -156271/9216, 
  36737/1152, 4307/1536, -4583/9216, -39617/1152, 26041/1536, -35833/1152, 
  -12849/2048, -156271/9216, 12575/192, -26041/1536, 1655/96, -35833/1152, 
  156271/9216, -36737/1152, 7/4, -46865/2048, -1159313/13824, 203417/1152, 
  -28659/512, 4724773/9216, -13595/128, -5/12, 35833/1152, 37/12, 
  -3082013/9216, -479819/1152, -5295463/9216, 5/12, 139969/576, 46865/2048, 
  2332375/27648, -6997/48, 19939727/55296, -24634847/27648, -240221/256, 
  269857/768, 404369/1152, 13968125/27648, -244105/1152, -16844555/55296, 
  4995895/13824, 5434361/3456, 1193501/13824, -3648625/6912, -12085/144, 
  -265/2, 275/216, 15859/96, 265/2, 13/48, -22687/288, -73/192, -13/8, 
  -12085/144, -1047/8, 22687/288, -13/8, 5885/36, 32701/96, 1301/16, 5/4, 
  -125507/576, 475/48, 19/32, 115997/576, -219/32, -5/12, -4831/144, 
  -6733/32, 5795/72, -15169/144, -21679/288, 1/3, -633/32, -19/4, -11455/144, 
  -2965/12, -1203/8, 29489/576, -23531/96, -7455/64, 5065/144, 12209/48, 
  32107/144, 633/32, 3739/96, 1227/16, 3163/32, -4219/96, -61/8, -5/24, 
  -1/24, -73/48, -5/6, 16/3, -409/48, -13/12, 13/12, -437/48, 1967/32, 
  -83/96, -1/4, 139/96, -5/24, 4/3, 5/12, 5/24, -83/16, 439/96, 217/32, 
  179/96, -11/24, 1/4, -1/12, 55/48, 29/96, -371/48, -1/3, 23/48, 5/24, 3/8, 
  25/6, 15/8, -145/48, 875/96, 1183/48, 583/48, 245/12, 2677/64, -5/12, 
  -23/24, -169/48, 601/24, -148/3, -10399/192, 23/48, 23/12, 929/96, -13/48, 
  -1/3, -127/48, -3/8, 16/3, -437/12, -4327/96, 3/8, 7/2, -41/24, -1/16, 
  349/24, -5/12, 1739/864, 31213/2304, -45229/3456, 3/8, -7/48, -4799/864, 
  4578035/124416, 1783/144, 11/16, -83927/6912, -2105/216, -3/16, -59/72, 
  5/6, -150257/5184, 248279/20736, 2/3, 1955/432, 5261761/248832, 
  -11117/2592, -425/72, -977/216, 157/144, -3/4, -29575/3456, -7, 
  -31931/2592, 12641/2592, 6821/432, 1/3, 15/2, -8195/432, -85/108, 
  -30727/1536, 126047/13824, 28/3, 647/144, 1975859/41472, 83513/6912, 23/72, 
  103/48, 7/16, 24239/5184, -21673/41472, -2821/288, -42245/2304, 
  -63307/5184, 557/144, 49819/5184, 19/2592, 173977/20736, -16103/864, 
  15983/13824, -637939/13824, -85/4, -793/96, -259/32, 256153/20736, 
  137095/13824, 2507/1728, -560255/41472, -7/576, 27/4, -7693/576, 5/12, 
  152239/9216, 109/288, 265/384, 5/16, 12493/3072, 18175/1152, -275/192, 
  -61/192, -3953/1536, -167/192, 41/192, -4/3, 745/384, -1881/64, 
  115391/9216, -445/48, 1427/192, 29585/1536, 1241/192, 41/24, 1327/48, 
  43013/1152, -175/32, -41/48, -15/8, 13/12, 50449/4096, -4603/432, -4655/36, 
  -127/64, 1176119/36864, -11314625/13824, 33919/384, 52621/1536, 73055/384, 
  -59/32, 784543/4608, 81923/384, -735/64, 2626619/6144, 5023/72, 73105/192, 
  -129625/1152, 1573/96, -2525/32, -1/6, -7701157/55296, 11831693/13824, 
  655/64, 13044451/13824, -1045249/3456, 221/64, -3049415/55296, -30173/288, 
  -211907/216, 2703/32, -16595485/20736, 39/128, -179/64, 1042153/1728, -1/4, 
  -175/36, -2155/216, 11345939/69120, -5/8, -145/36, 815/108, 
  -11458259/69120, -4385/288, -73/12, 855/32, 11/12, 57775/864, 
  -2291093/7680, -17/8, 473/144, -92377/864, 2014181/4320, -1967/576, 
  11911/432, -503/192, -7/3, 2869109/34560, 89/12, 295043/1728, 
  -4352507/13824, -4093/1728, 55/24, -27, -2064451/34560, 5/24, 323/72, 
  1885/432, -11077819/34560, -221/24, 241/72, 59063/1728, 4057553/23040, 
  323/32, -713/54, -557/32, -1123579/12960, 41843257/414720, 
  -79010203/138240, 6421517/14400, -1104911/207360, -385063/129600, 
  926017/11520, -1350775/27648, -91160861/414720, -5839181/207360, 1885/432, 
  3374033/23040, 43/3, -40519/1728, 2107/288, 17/2, 11541649/82944, 
  23757001/46080, -28789/1728, -9777451/82944, 1115/96, -47/8, -7/8, 
  20207/864, 1/4, 493/24, 101/8, -139/8, 35/24, -3377/72, -2825/72, -13/12, 
  -5/2, 35879/864, 27/8, 185/96, -147/32, 5/96, -377/8, 561/16, 5/24, 25/72, 
  29269/288, -245/18, -1943/96, -13/2, 421/32, 51/4, 11/6, -2243/288, 
  5803/288, 1439/96, 0, -43/12, -101/288, 0, -625/24, 49/6, 317/72, 1273/72, 
  -85/36, -5/8, -211/48, 15/2, 7/3, 5/6, -7747/144, 1043/72, 13369/216, 
  2339/144, -1/16, 1471/72, -5545/288, -1333/96, -739/72, -421/24, 583/12, 
  683/72, 1/2, -3, 1373/72, 85/3, 5071/216, -55/36, -2591/72, 1/4, -593/144, 
  -8, 241/24, -6707/48, -22829/192, -68857/192, -24, -4205/48, -40381/384, 
  -449555/384, 51/4, -2687/48, -63083/48, 1665/8, 1854067/768, 4061/16, 
  -929/12, -140, 16359/32, 3661/96, 26989/96, 177217/384, 49607/384, 
  165499/384, 1075/16, -103687/384, 56, -21327/64, -2353/192, -90433/192, 
  3509/24, 39857/192, 3395/48, -7/12, 35/12, 8, -16, 205/8, -83/64, 
  -10483/192, -41929/1728, -2887/36, 419/16, -67657/576, -1147423/6912, 
  -1603/12, 405625/1152, 4843/72, -191267/1152, 16, -147/4, -1639/32, 
  6529/16, -658421/3456, -3001/12, 76925/576, 133675/384, -300541/576, 
  -163/8, 733/8, 14683/48, 228401/384, -111887/192, -1377/8, -128687/192, 
  279/8, 1525/32, -36679/216, -1089/64, 501731/1152, 422417/2304, 67769/3456, 
  -499469/1152, -4825/1152, -133295/384, -25559/192, 23673/128, -465/32, 
  -397633/1152, 793207/3456, -1307/2, 22363/96, -76837/384, -469429/384, 
  -65161/192, -4043/32, 14719/48, 4611/128, 38747/576, 24671/384, 
  765137/1152, 131839/384, -4007/108, 45731/72, 168707/384, 4741/192, 
  -1943/192, -23985/64, -51925/192, 23323/384, -10927/576, -4043/288, 
  1505/12, 1421/16, 96871/288, -20251/72, -22195/96, -116509/1152, 7517/24, 
  -26245/1152, 8, -136871/576, -476533/1152, -21023/48, 27/8, 90581/144, 
  102407/96, -1955/32, -796607/1152, 22, 16, 651677/576, 347347/384, -971/16, 
  -231037/96, 513/2, -175/8, -84333/64, 408, -1353/8, 11719/576, -1273/16, 
  -147/16, 1491/32, -275749/576, 50249/1152, -421/12, 157765/1152, 
  167857/1152, 520153/1152, 296891/576, 632893/1728, -4221/32, -32945/96, 
  799615/3456, 601583/576, -1473385/576, 132689/1728, 1699961/1152, 
  1480717/576, 30665/288, 145/48, -265/6, 69095/384, -12385/96, -594427/576, 
  9227/27, -529/96, -634199/576, -911699/864, -10337/96, 589/48, 33239/48, 
  40475/96, -3241/24, 7/24, 27/4, 293383/6912, -1410611/13824, -943/24, 
  192155/432, -564127/1152, 5143/96, 169921/576, -288647/432, -4907/32, 
  -186241/1152, 66191/288, 4643/1152, -115/12, 1057/12, -1447663/4608, 
  1888547/6912, -515/48, -3389771/1728, 446653/576, 453155/1152, 90647/54, 
  -223463/576, -287/24, 844543/13824, 1685537/6912, 48529/64, 8259193/3456, 
  -489253/384, -1803/16, -679/12, -83425/64, 4211/24, -7/8, -19/12, 20/3, 
  -3039/32, -514711/3456, 302/3, -38945/288, -5683/32, 201805/576, 1283/24, 
  -239/24, 2843/48, -2047/16, -119861/1728, 467767/576, -1723/6, -9109/48, 
  38957/32, 612, 5/2, 5/24, 1/2, 775/8, 56, -10103/32, 157/12, 3487/48, 
  -9043/16, -4071/16, -3/2, 973/16, 3487/48, 5/12, 129199/13824, 
  -266017/10368, 215/64, 1/4, 22004401/207360, 380503/10368, -197/384, 
  -25/192, -12065513/103680, 15343/3456, 5/192, -53/72, -5/12, -2875/864, 
  1577/432, 153895/13824, -10957/10368, 385/432, 11972813/103680, 6565/288, 
  -53/36, -5/24, 8609/432, -2009/432, 493/72, 2095/108, -13/24, 8213/432, 
  -87070873/2488320, 29974799/276480, -1680391/13824, -19/32, 
  -625075397/2488320, -48346093/497664, -731171/27648, 1434075317/829440, 
  56479/3456, 45/32, 250348439/1244160, 50978819/248832, 445/96, 
  83055973/124416, -384007/13824, 38161/1728, -259109/1728, -3979/864, 
  62333/1728, -8345/432, -38010611/414720, 84248977/138240, -547/64, 
  339732973/829440, -6863/1728, -503/192, -166373933/622080, 247979/13824, 
  -30983/1728, -3831/64, -56015111/82944, 337/384, 329/192, -3413/432, 
  101/48, 13789/144, 6493/48, -105/16, -4081/24, -6493/48, 555/32, 10859/144, 
  -1129/96, -5/12, -85009/720, -7063/90, -7/4, 3/16, 2918833/28800, 413/288, 
  337/192, -689/96, -2261/192, 5/12, -15779/480, 7/3, 46765/576, 3097/18, 
  -45203/576, 5/24, -3/2, -59/48, 13/24, -79/18, -31099/288, -21785/96, 
  -181/4, 721/96, 1753/64, -6083/96, -351/16, -847/12, 557/32, 112589/720, 
  -396167/1440, 7881/32, -5941003/28800, -601985/2304, 109381/1440, 
  -153479/960, -906157/5760, 36182251/57600, -190049/17280, 2425/48, 5915/96, 
  285/8, 89/576, 2129/32, -28/3, 80201/192, -118729/768, -11537/576, 
  -251963/768, 1291/32, -61/24, 47/24, 469/32, 7/4, 1/24, 55/24, -1/8, 
  -47/24, 221/24, -13/24, 125/24, -35/48, -2215/96, 25/6, 43/96, 289/96, 
  -5/96, -49/12, 7/24, -19/8, 109/24, -371/32, 65/24, 1115/96, 233/12, 
  -1033/96, 47/12, -7/12, 1/12, -1543/96, -2737/96, -2867/96, -5/4, 1/4, 
  301/32, -1/3, -113/24, 163/48, 113/4, 141/16, 305/16, -33/8, 121/12, -7, 
  -19/6, 145/8, -1231/48, -113/4, -143/4, -881/16, 179/24, -49/3, 89/4, 
  251/16, 35/12, -113/48, -24, -19/2, 1/6, 49/12, 53/8, 24, 11/4, -205/48, 
  5/6, -5/6, 3/8, -900335/9216, -107767/1152, -37/64, -179/32, 1434073/9216, 
  115117/1152, 177/16, -289045/4608, -179/32, 119/16, -29353/1152, -287/96, 
  -1002703/9216, -10375/192, 282997/4608, 869/144, 29/8, -31129/1152, -37/12, 
  1089383/18432, 3383273/27648, 44011/192, -555475/4608, 6149707/9216, 
  1737/128, -2627681/6912, -636617/1152, -7393085/9216, 230581/1152, 
  14825675/55296, -5793367/13824, -289803/256, -761357/13824, 3649597/6912, 
  -7/4, 161839/9216, -36941/1152, 17/128, 95/24, 27649/1536, 2249/128, 1/128, 
  -23/192, -204175/9216, 24265/576, -91/192, -26849/1536, 5/96, 49/12, 
  35905/1152, -103/64, -1390451/23040, 60611/1152, -843/128, 132517/2880, 
  -60577/1152, 25093/1536, -91/24, 427/48, -497/32, 1501/96, 349/32, 53/24, 
  -101/12, -45413/2048, 4295213/92160, -647/384, -251/2048, 11383471/276480, 
  -63071/384, 933067/18432, -5474227/9216, 2247/32, -328987/18432, -2017/64, 
  7/384, 15167089/46080, 215965/576, 5733541/9216, 27019/576, 673/48, 
  -211675/1152, -2945/96, 573979/30720, 2767/384, -16851179/55296, 
  5265967/13824, 822181/768, -1115899/30720, 901/96, 1464725/13824, 433/144, 
  -1373/384, -3672583/6912, -2573/384, -439/216, 152/9, 4, 1555/216, -24, -4, 
  -161/18, 64/9, 34/9, 5/12, 4813/432, 12817619/69120, -5765/432, 
  616369/16200, -12405059/69120, 3077/64, -1372763/32400, -17713/576, -5/12, 
  1540139/34560, 0, -441107/1728, 9643021/69120, 8823977/129600, -5/24, 1/6, 
  3532739/34560, -13/24, 445/216, -781/18, -55/6, -325/48, 307/6, 11/3, 
  775/144, -188/9, 5/8, -1645/864, 114544493/207360, 11976529/10240, 
  -26058677/129600, -204113999/829440, 1103749/86400, -79009309/207360, 
  -505312933/829440, 1250230679/4147200, 79329709/207360, 53/2, 25/6, 
  -433/18, 11, 9/2, -14412839/20736, -253/144, 14241599/13824, 
  14134487/20736, 1, -22/3, 269/36, -227/64, 45/16, -20, 107/192, -2095/48, 
  -1269/8, -2/3, -2/3, 9569/576, 4/3, -5/3, -8/3, -15/2, 75/4, -29/2, 4/3, 
  35/3, 6, 3/2, -7/6, 16, -3/2, -2, -10, -15, -61/12, -115/4, -565/12, -1/4, 
  5, 119/12, 4447/192, -83/8, -145/4, 1259/192, 1744919/3456, -369/128, 
  -15/2, -7/4, -1/8, -7/2, -275/36, 3/16, 15/4, 325/48, -43/4, 27/4, -61/32, 
  -13/4, -5/48, -2/3, -329/16, 1327/32, -275/2, -17/24, 95/2, 8, 5/8, -1/8, 
  7/6, 5/18, -2/9, -5/18, -35/18, 1/3, 7/9, 61/4, 341/18, 299/18, 5/2, 59/9, 
  1, -193/12, -263/18, -905/144, -5/4, -31/8, -29/6, 3/2, 91/24, 25/16, -9/4, 
  4075/288, 326/9, 131/3, 7487/96, 89/12, 575/24, 145/144, -2497/48, 
  -24835/576, -367/24, -451/16, -79/64, -251501/1152, 305/128, -5/2, 31/72, 
  16/9, -11/2, -2339/216, -2, 37/18, -32/9, 2231/216, 16/9, 17/72, 7/9, 
  -269/108, 41/24, 23/18, -21/4, 103/18, -851/48, -6067/432, 4151/36, 
  1571/48, 9/4, -209/96, -3557/36, 137/3, 1811/72, -27403/288, -48049/216, 
  5051/48, 78935/432, -5/8, 43/72, 1/72, 41/12, 3, -1/18, -119/18, -149/48, 
  1/18, 5/8, -3/4, 9/16, 427/144, -35/36, 3/2, -4997/12, 425/9, 1613/48, 
  675/2, -969/32, -10/9, -40429/144, 851/9, -7/18, 3337/8, -17513/48, 
  -7969/36, 39163/144, 45739/144, -19/2, -55/3, 7/2, -6, -455/36, 149/4, 
  47/2, 455/36, -111/4, 137/6, 19/2, 239/36, -137/6, -791963/2880, 
  -19949/180, -5231/120, 2025089/3600, 23029/3600, -1037629/3600, -73439/90, 
  199501/600, -28991/540, 3059371/2880, -94157/120, -1793647/1440, 
  -2006539/1620, -417191/864, 4741/384, 83/16, -5/96, 32071/1536, -55/48, 
  27501/1024, 1313/48, 1259/96, 19/48, -213/16, 347/48, 625/64, -3455/192, 
  -93/8, 99/16, 607/192, 11/8, 23/192, -2705/192, 3149/192, -557/64, -67/32, 
  233/144, 7/12, 4741/768, 1343/288, 899/192, -115/12, -17/16, 51079/3072, 
  829/64, 11/8, 3077/144, 695/48, 131/64, -1457/64, 319/192, -869/72, 
  -727/36, 12431/120, 1885/48, 103669/900, -325/12, -59009/80, -81383/720, 
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  89/96, -1244929/3456, -5/3, 93223/13824, -49145/2304, -917237/34560, 
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  47/2, -40/3, -7, -12873/32, 36499/192, -8743/128, -17059/192, 179943/256, 
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  11437/108, 373/24, -115/8, 65/4, 19/8, 1027/24, 2, -251/12, 449263/6912, 
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  20519/4608, -1531/108, -20957/864, -6323/1152, -30, -46279/2304, 
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  643/36, 31973/1152, 36295/4608, -505/108, -1349/864, -6995/1152, -553/18, 
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  -35/16, -3/2, 5/16, 5/12, -53/24, -11/12, 49/16, 7/4, 1/8, 1/4, 0, -3/8, 
  5/4, 9/4, 0, 0, -9/4, 0, 1/2, 0, -3/8, -15/8, -9/4, 1/16, -15/16, -13/4, 
  3/2, -23/16, -31/16, -1/4, 11/24, 13/4, 7/2, 37/48, 7/8, 13/12, -1/6, 
  -245/48, -5/6, -1/4, -5/4, -27/8, 1, 23/8, -9/8, -1, 11/8, 1, 23/4, 9/2, 
  5/4, -17/8, 5/8, -7/6, -19/4, -17/4, 5/12, 1/2, 9/4, -11/4, -3/2, -9/4, 2, 
  1, 0, 0, 0, 0, 0, 0, 0, 0, -9/2, 9/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 15/4, -5/4, 3/2, 0, -3, 0, 3/2, -1/2, 1/2, 1/2, 4, -4, 1, 0, -3/2, 
  1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/4, -5/2, 0, -1/2, 0, -1/2, 1/2, -1/2, 
  9/4, -5/3, 1/2, -9/4, 1/2, -5/3, -1/2, 1/2, 0, 0, 4, 0, 0, -15/4, 0, -1/12, 
  -1/4, 17/4, 1/12, -1/2, 0, -1/2, 1/6, -1, 16/3, 4/3, 5/6, 0, 0, 0, -1, 
  11/6, 1/2, 1/2, 0, 0, 1/2, 0, -4/3, -1/2, -1, 0, 11, -7, -2, 18, 2, 18, -4, 
  -1/2, -3/2, 1/2, 0, 0, 4/3, -8/3, 4/3, -4/3, -9, 29/3, 9, 1/2, 1, -1/2, -3, 
  -2, 1, -1, -5/2, 1/2, 23/2, 1/8, 3, 0, 0, 0, 0, -5/8, 0, 0, 0, 1, 0, -1, 
  1/2, 1, -1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 1, 
  6, -14/3, 34/3, 32/3, 2, 0, 3, 20/3, 13/3, 12, -172/9, 0, 25/6, 199/9, 
  -22/3, 7/3, -7/3, 0, 9/2, -3, 1/3, -4, 13/3, 7/3, -16/3, 0, 0, 0, 0, 0, 0, 
  21/2, -69/2, 0, 33/2, -207/2, 6, -75, -6, 7/2, 3/2, 7/2, -19/2, -11, -7/2, 
  -7/2, 0, -33/2, 57, -12, 195/2, 12, -7/2, 9/2, 17, 7/2, 6, -45/2, -6, -6, 
  0, 4, 3, 4, -7/8, -23/8, 0, 21/4, -21/2, 0, 21/4, 3/4, 0, -27/4, 0, 8, 
  -3/4, -1, 7/4, 0, -9/4, 3, 0, 5/4, -7/2, -5/8, 15/4, 23/4, 5/2, -17/4, 
  -5/2, 0, 33/2, 0, 0, -33, 0, 0, 33/2, 0, -1/4, -13/12, 0, -21/4, 13/12, 
  15/2, -1/4, -1/4, 1, 0, 1/4, 47/3, 7/4, -47/3, 0, 21/4, -13/8, -6, 13/2, 
  -1/2, 0, -3/2, 0, 11/4, 31/12, -3/2, 8/3, 7/6, 29/6, -23/12, 3, 7/4, -13/3, 
  -3/2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5/4, 0, 
  -1/8, 5/12, 1/4, -1/4, -5/6, 1/4, 1/2, 0, -1/2, 0, 0, -1/8, 0, 0, -1/8, 0, 
  1/8, -7/6, 11/4, -5/6, 1/16, 1/2, -19/48, -49/4, 45/4, 0, 1/4, -5/32, 3/32, 
  39/32, 3/32, -5/6, 7/32, -1/32, -5/8, 3/4, -19/32, 9/8, 177/32, 25/12, 
  -3/4, 17/32, -1/4, 0, -45/8, 1/4, 0, 0, 9/32, -11/8, 39/32, -1/2, -61/96, 
  79/32, 23/12, -1/12, -5/6, -9/16, 137/32, -75/32, 3/2, -7/32, 7/16, -37/4, 
  9/8, 39/4, 0, 0, 0, 0, 0, 0, 0, -1/2, 0, -3/4, -1/32, -1/32, 23/12, -5/6, 
  -71/96, -5/6, -3/16, 0, -1, -25/16, 11/8, 83/96, 3/4, -257/32, 19/32, 
  -3/16, 0, -17/4, 313/16, 23/8, -1/2, -13/2, -9/4, 0, 101/48, 21/8, 1/4, 
  -1/3, -1/16, 1/2, 35/4, 117/8, -29/12, -87/8, 11/6, -9/4, -27/4, 11/4, 
  3/16, 3/4, 3/16, -3/4, 0, -3/8, 0, -3/8, -3/16, 1/16, -3/16, 51/8, 33/8, 0, 
  13/24, 0, 9/16, -65/8, -1/6, 1, 0, 11/4, -111/16, 73/16, 7/8, -115/24, 
  59/16, 25/4, -21/4, 17/16, 19/4, 2, 0, 0, 0, -31/8, -7/4, -5/4, 1/2, 0, 4, 
  1/16, -17/16, 1/16, -5, 0, 0, 59/16, 69/8, -1/2, -29/8, -77/16, 63/8, -1/2, 
  -11, -39/8, 0, 1/6, 0, 0, -1/2, 1/3, 0, 3/2, -1/6, -1/6, -1/4, -1/2, 1/6, 
  -3/2, 2/3, 1, -11/12, 3, 11/12, -7/6, -29/12, -13/6, -1/12, -11/12, 1/2, 
  -1, 7/3, 1, -3/2, 1, 7/4, 0, -2/3, -5/2, -1, 1/2, -1/2, -3/2, 1/2, -3/4, 
  -1/2, -2, -3/2, 35/2, 2, 0, -4, -27/4, 1, -55/6, -7, 4, 55/4, 7/4, 47/6, 
  -2/3, -1, -5/2, 2, 55/12, 4, -8, 0, 5/4, -17/2, -7/2, -1/2, 1/2, 0, 0, 0, 
  0, 0, 0, 53/4, -13/2, -21/2, 0, -10/3, 0, 10/3, 0, 10/3, -10/3, -10/3, 
  10/3, 4/3, 8/3, 0, 9/2, -9/2, 69/4, -9/2, -37, -99/2, 23/2, 149/4, -1/2, 
  -13/3, -9/2, 27/4, -27, 3/4, 25, 51/2, -103/6, -9/4, 39/4, 9/4, -8, 7/4, 
  1/2, 26/3, -13/4, -1/2, -1/3, 1, -23, 1/4, 3/4, 1, 10/3, 12, 1/4, 7/2, 
  -19/2, 0, -1/4, -61/4, 13/4, 0, -1/4, -83/12, 25/6, -17/4, 299/12, -1, 
  5/12, 1/3, -29/3, 4, -1/4, 5/4, 35/4, 1/4, 29/2, -13/4, -7/12, -533/12, 
  -131/12, 37/2, -19/4, 3/2, 9/4, 63/2, -3/4, 0, -18, 16/3, -1/6, 5/6, 2/9, 
  3/2, 1/6, 1/12, 4/3, -4/9, -35/6, -5/3, 1/2, 17/3, -1/2, -5/3, -1/6, 5/3, 
  1/6, 25/12, -7/3, -11/3, 7/6, 31/36, 25/18, -4/9, -5/3, -29/6, -31/3, 
  -11/6, -10, -35/18, -1/2, 20/3, 17/2, 43/12, 0, 0, 0, -47/8, 23/8, 21/4, 0, 
  0, 0, 39/2, -31/2, 36, 0, 0, 0, 0, -1467/1600, -1231/240, -35/9, 0, 79/8, 
  0, -3141/160, 0, 1561/160, 0, -1119/80, -1829/80, -1/2, 39419/1600, 
  36409/1600, -17077/1600, 657/20, 3317/240, -133847/4800, -12391/720, -37/4, 
  29/4, -3/2, -35/2, -1/2, 1, 1/2, 0, 0, 0, 0, 0, 0, -599/80, 0, 0, 
  11809/1600, 0, 1069/80, 939/80, -16409/1600, -1359/80, 0, -15/2, 0, 0, 
  15/2, 0, 849/80, -17/2, -18409/1600, -119/80, -57/4, -15/2, 49/4, 15/2, 
  -45/2, 0, 0, 0, 15, 33, -16/3, 0, -3/4, 3/2, 0, 9/4, -15/4, 0, -9/4, 0, 0, 
  -3, -1, 15/4, 9, 69/4, 15/2, 25/3, 19/12, -109/12, -16/3, 111/2, -333/2, 
  -9/4, 9/2, 0, 9/2, -9/2, 0, -9/4, 0, 0, -21/4, -18, -45/4, -3/2, -15, 
  -21/2, 55/4, 35/2, 9/2, -25/4, -111/2, -111/2, 222, 111/2, -333/2, 111, 
  111/2, -222, -111/2, 0, 0, 0, 17/8, 95/72, -1/12, -3, 155/24, -49/12, 68/3, 
  -767/72, 1, -3, 139/48, -23/8, 43/3, -1103/144, -1, 0, -157/18, -6, 7/4, 
  -1601/432, 409/48, -151/12, -295/24, 23/2, -3/10, 239/60, 983/108, 0, 
  -5/12, -293/20, -467/27, 113/60, 47/18, 0, -3469/720, -1957/144, 11/6, 
  14987/1440, 5311/144, -199/288, 1145/144, 3/16, -16715/864, -103/24, 0, 
  179/60, 1631/108, 0, 3/20, -4597/180, -629/27, 61/60, 29/2, 0, -959/120, 
  -94/9, 11/6, 46747/1440, 1453/36, -5161/288, 1103/144, 3/16, -13295/864, 
  -103/24, -101/30, -1/2, 3/2, 23/15, 5/2, 11/6, -5/3, -7/16, 55/3, -29/24, 
  8/3, 16/3, 8/3, -551/144, 7/2, 0, 0, 0, 0, 0, -6, 0, 6, -6, 6, 0, 0, 0, 0, 
  -12, 93/4, -265/36, 0, -12, 0, 0, 6, 0, 0, 293/48, 0, -33823/2400, 0, 
  -425/48, -1253/120, 36823/2400, 2513/120, 0, 18, -6, 0, -6, 0, -6, 6, 0, 0, 
  -1/2, -5/2, -9/2, 0, 0, 0, -1/4, 5/4, 13/2, 1/3, -3/8, 9/8, 13/12, -1/3, 
  -31/36, -1/8, -5/3, -5/6, 0, 1, 5, 9/2, 1/4, -11/4, -25/4, -13/12, 7/6, 
  5/6, -1/2, -5/2, -9/4, 3/2, 3, -1, 0, 0, 17/4, -7, 9/2, 0, 11/4, -25, 17/2, 
  0, -7, 37/2, 0, 5, 0, -1/4, 7/6, -3/2, -6, 1/4, -49/12, -27/2, 5/4, -89/6, 
  -2, 1/4, -41/12, -1/2, -13/12, 11/3, 13/12, -1/3, 9/4, 5/6, 1/3, 0, -7, 10, 
  -9, -11/4, 30, 9/2, 13/2, -1/2, -9/2, -17/12, 3, 47/2, 41/12, 24, -2, 9/4, 
  -9/4, 11/12, -5/6, 11/4, -3, 9/2, -13/2, -9, 9/2, -3, -27/2, 4, 1/4, 0, 
  1/2, -59/4, 9/4, 0, -4, 115/4, -9/4, 0, 27/4, -14, 0, -13/4, 1/8, -2, 
  -41/4, -21/4, -5/8, -9/2, 11, -4, 25/4, 9/2, -13/24, 14/3, 17/2, 4/3, 
  -85/12, -1/6, 5/12, -29/6, -7/6, -1/4, 33/2, -13/4, 5/2, -16, 13/4, -9/4, 
  -1/2, 0, 3/4, -29/2, -7/4, -43/8, -41/3, 19/8, -17/12, -5/2, 193/24, 11/12, 
  -5/4, 1/2, 3/4, -1/2, 1/2, 2, -3/2, -19/8, -3/4, 1/2, -1/2, -1/2, 0, 
  -17/40, -935/216, -7/2, -1/40, 674/45, 2969/216, 7/2, -137/120, -2789/360, 
  -11/9, 0, 5/4, 11/8, 137/216, 115/36, -2453/288, -223/8, -199/36, 
  1591/1440, 115/36, 1/4, -37/12, 7/12, 7471/864, -2/9, -11/9, 17/12, 2/3, 
  -9, 13/6, -9/2, 1/2, 709/72, -133/24, -5/18, -41/36, 1, 5/2, 5/2, -1, 
  -43/12, 13/9, -1/4, 1/2, 0, 6, 0, 0, -12, 0, 0, 6, 0, 0, -1/40, -35/4, 0, 
  -1/8, 4121/800, 63/8, 1/8, -4101/800, 0, -3/8, 17/5, 23/8, 47/160, -133/20, 
  327/320, 13/12, -8/3, 3, 55/36, 0, -6, 6, 0, 21/2, -6, 0, -9/2, 0, -6, 0, 
  9/2, 0, -1/4, -1, -9/4, 0, 5/4, 11/4, 9/4, 0, -2, -7/4, 0, 1, 0, 3/4, 17/4, 
  9/4, 1/4, -2/3, -13/4, -13/12, 1/6, 5/6, 1/4, 3/2, 9/2, -5/4, -6, -9/2, 2, 
  9/2, -1, -1, -25/4, -9/2, 7/6, 19/4, -5/12, -1/2, -9/4, 13/4, 9/4, -11/4, 
  3/2, 9/4, -1, 0, -1/2, -3/2, 0, 0, 0, 0, 0, -1/4, -21/4, -13/2, -1/4, 1/4, 
  1/4, 1/2, 25/4, 13/12, -37/12, -1/3, -5/6, 0, 1/2, -5/2, 9/4, 1/4, -7/4, 
  11/4, -13/12, 11/6, 5/6, -1/2, 5/2, -9/4, 3/2, -3, -1, 0, 0, -5, -27/4, 0, 
  1/2, 5/2, 31/4, 0, -3/2, -3, 0, 3/4, 0, 1/4, 0, 15/4, 15, -1/4, -2, -45/4, 
  5/4, 11/2, -1, -13/12, 13/12, -20/3, 1/4, 1, -23/12, 1/3, -3, 11/6, 5/3, 
  -1/2, -1/2, 19/2, 18, 7/2, -5/2, -87/4, -29/4, 2, 9/2, 7/4, -21/4, -121/4, 
  -9/4, 117/4, 1/2, -13/6, 31/3, -22/3, 4/3, -1, -11/2, -9, 5, 29/2, -9/2, 4, 
  12, -14, -15/4, 0, 0, 0, 0, 0, 1/2, 7/2, 9/4, 0, 15/16, -1/8, -5/4, 0, 
  -5/16, 5/8, 0, -5/16, 0, 1/4, -1, -17/4, -1/4, -301/192, -1/8, -11/32, 
  -31/64, -11/32, -3/4, 5/12, 17/24, 69/64, 47/96, 5/4, 5/12, -1/8, -47/32, 
  -3/4, -29/8, -3/32, -9/32, -3, -99/32, 43/32, 9/4, 2/3, 75/64, -9/8, 7/6, 
  185/64, -89/32, -17/24, 33/64, -103/96, -5/12, -1/4, -403/32, 5/4, 15/8, 
  43/16, -27/4, -3/4, -447/32, 41/8, 5/6, 3, -77/16, 9/2, -2, 0, 1/5, 121/36, 
  21/4, 3/20, 55/12, -73/18, 61/60, -2041/180, 0, 1/2, -331/216, -61/24, 
  -7289/1440, 167/12, 2767/160, 8/3, 47/8, 1181/288, -7/2, 0, -557/40, -7/4, 
  0, 0, 19547/800, 7/4, 0, -8407/800, 0, -1/8, 223/10, 3, -2227/160, -757/40, 
  20747/1600, 13/24, -37/24, 5371/240, 55/36, 0, -3/16, -1/2, -9/4, 0, 33/32, 
  109/32, -25/8, 1/4, -1/2, -19/4, -1/4, 0, 0, 1/8, 1/4, 13/4, -3/4, -47/32, 
  -11/16, 11/4, 0, 1/8, -5/48, -1/6, 9/4, 65/32, -119/24, -5/6, -125/48, 0, 
  7/16, 17/8, 9/2, -67/32, -1/16, 61/16, 5/2, 7/4, -9/4, -1/8, -15/16, -17/4, 
  239/32, 53/16, -17/4, 5/48, 1/6, -737/96, -17/48, -1/4, -21/8, -45/4, 
  -335/32, 49/8, 3/2, 3/4, 77/8, -75/8, -1/3, 1, 9/2, -117/16, -2, 0, -9/4, 
  0, -3/2, 0, 0, 0, 0, 0, 1/4, 15/4, 3/8, 9/4, 1/4, -5/8, 1/8, -13/12, 
  -13/12, -1, -13/24, 17/24, 5/6, -5/12, -1/4, -1/2, 13/4, 11/4, 9/4, 1, 
  -17/4, -9/4, 3/2, -25/4, -5/2, 1/12, 9/4, -19/12, 37/12, -1/3, 7/12, -3/2, 
  -17/4, 6, 9/2, 5/2, 13/4, 7/4, -5, -23/12, 1/4, -1/4, -1/4, -1/4, 0, -3/40, 
  593/216, 3/4, 1/40, -881/180, -437/216, 137/120, 689/360, -5/3, 0, -9/8, 
  -389/216, -3/4, 1781/288, 1133/72, -2/3, -1291/1440, 4/3, 19/3, 17/3, 
  -4771/864, 8/3, 1/3, -21/4, -2, -9/2, 2, 6, 0, 31/4, -4/3, -5, -13/4, 
  -15/8, 1/3, 9, -11, -5/2, -25/2, 23/2, 55/24, -9/2, 19/4, 11/4, 0, 3/4, 
  11/2, 0, 0, 5/2, -19/4, 0, -13/4, 0, 0, 77/30, -37/8, -15/4, 1/8, 
  -16763/2400, 5/8, -1/8, 9703/2400, 0, 13/2, -379/60, 7/4, -3541/480, 
  187/30, 1019/960, -139/12, 65/24, 5/2, 205/72, 0, -10/9, -19/4, 9, 0, 
  197/36, 53/4, 0, -211/36, 0, 13/36, -49/36, -27/2, -139/36, 28/9, 9/2, 
  11/18, 9/2, -9/2, 1/8, -5/8, 3, 9/4, 0, -1, 93/8, -13/4, -1/4, -7/8, -29/2, 
  1/4, 7/2, 0, 0, -19/6, -349/24, -11/4, -57/8, -115/8, 21/2, 29/8, 77/3, 
  -29/8, -17/8, 43/12, 11/6, 59/6, -121/24, -37/4, 137/24, 9/4, 7/4, -43/12, 
  -1/8, 6, -59/8, -9/2, 3/2, -19/4, 45/4, -33/8, -17/2, 13/4, -65/24, 
  -205/12, -113/8, -373/24, -243/8, 13, 107/12, 169/8, 307/12, -19/4, -43/8, 
  19/4, 9/4, 23/8, -3/2, 2, 179/8, 15/2, 41/8, -17, -3/8, 3, 3/8, 0, 0, 0, 0, 
  -1/4, -1/8, -1/8, 5/6, 1/24, 0, -1/4, -1, -9/4, 3/4, 2, 4, -1/2, 5/12, 
  -13/6, 0, -3/40, 503/216, 11/36, 1/40, -494/45, -2249/216, -11/36, 137/120, 
  1079/360, -1/9, 0, -7/4, 187/216, 17/12, 2345/288, 1555/72, -1/36, 
  -871/1440, -1/3, 29/6, 1/27, -7147/864, 26/27, 4/9, -37/12, -17/27, 27/4, 
  -5/12, 41/36, 0, -169/18, 7/12, -55/72, 1, -35/36, 56/27, -49/4, 307/36, 7, 
  169/12, -257/36, -49/72, 35/4, -19/2, -5/9, 1/4, 0, -14/5, -9/4, -1/4, 
  1821/400, 9/4, 1/4, -701/400, 0, 0, -13/16, 53/10, 2, 1/8, -1753/320, 
  -207/40, -1/8, 411/64, 0, 1/4, -35/48, -5/6, 979/160, 559/48, -4319/800, 
  -2/3, 37/18, -2509/240, -55/36, 0, 301/20, -57/4, -9/2, 0, -9881/400, 14, 
  0, 2643/320, 0, 27/16, -1239/40, 19/4, -99/320, -2791/1600, 359/320, 
  -67/12, 1867/240, 257/24, 13/3, -21/2, 9/8, 3/2, 35/2, 49/8, -9, 169/8, 11, 
  -127/8, -46/3, -63/4, 63/4, 37/4, 19/2, -1/4, 0, -3/4, 1, 9/2, 0, 5/4, 1/4, 
  -9/2, 1/4, 5/4, -5/4, -1/4, -7/4, 0, 1/2, -27/4, -7/2, -9/2, 0, 17/4, -5, 
  -7/2, -21, 2, -2, 8, 19/4, 37/6, 28/3, 29/12, 11/3, 5/4, -67/12, -13/6, 
  3/2, -69/4, -13/2, -11/2, 75/4, 7/2, 9, 13/2, -11/2, 5/2, 39/2, 5, 41, 35, 
  -479/4, -145/12, -1/4, -161/4, 97/12, 73/4, 23/4, -25/4, -15/4, 0, -167/4, 
  -17/4, 1/2, 47/2, -11/4, -11/4, 11/4, 0, -1/40, -155/72, -3, -1/40, 7/2, 
  1477/216, 3, -131/120, -1823/120, -1391/108, 137/60, 659/180, 0, 3/8, 
  -655/432, 179/48, -10429/1440, -2071/216, -163/48, 4453/288, 589/16, 
  -1351/720, -39/8, -133/24, 4679/288, 97/16, -2119/108, 29/6, -77/8, -7/20, 
  1/6, -13/6, 9/2, 39/20, -23/12, -5/6, -127/20, -5/2, 5, 4519/1440, 197/18, 
  -23/4, -1099/1440, 77/36, 87/40, -1601/288, -131/48, 2587/288, 55/24, -2, 
  2/3, -9, 3, 49/2, 5/4, -479/288, -1/3, 289/96, 383/144, 1/2, 9/2, -7/4, 
  -13/4, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -3983/720, -8, -3/4, -1/8, 2927/900, 
  59/8, 1/8, 1007/3600, 0, -31/4, 2221/360, 13/2, 13373/1440, -151/360, 
  -61331/14400, 395/24, -61/24, -2149/180, -487/72, 0, 5/2, -1, -9/2, 0, 
  -7/2, 5/2, 0, 5/2, 0, -3/2, 2, 9, -2, -27/2, 2, -1, -9/2, 11/2, -31/2, 2, 
  49, 7/4, 2, -9, -35/6, -2, 9, -51/8, 201/8, -27, -23/2, 111/8, 115/8, 12, 
  63/2, -17/2, -9/2, 0, 0, 0, 0, 45/2, -183/4, 93/4, 6, -9, -3, -51/4, 141/4, 
  -27/4, -27/4, 0, 21/2, -45/4, 27/4, 9/4, 9, 3/2, -12, -3, -1/2, 0, -10, 
  -147, 70, -41/2, 267/2, 4/3, 0, 136, 25/2, -265/2, -82, 0, 259/2, 0, 
  -259/2, 0, -45, 0, -259/2, 128, 259/2, 45, -128, 9/4, 63/2, 18, -45, 
  -117/2, 497/12, -18, -9/2, 18, 103/2, -3029/400, 0, 3143/30, 1651/9, 0, 0, 
  0, 0, 5/4, 0, -5, 0, 3029/400, 0, 151/10, 227/4, 10073/400, -533/10, 
  -297/4, 3083/100, -102017/360, -151/24, 513/5, 87/2, 18, -88857/800, 
  -37829/800, 6777/800, -214/3, -123/2, -1891/600, 73/120, -11531/30, -17, 
  73023/160, 10209/20, 15151/72, 0, 0, 5/2, 0, -3029/800, 0, -957/10, -131/2, 
  -6579/800, 3, 421/10, 87/2, -3283/160, 102287/180, 133/12, 0, 0, -2, 1/2, 
  0, 3, -14/3, 8/3, 35/6, 0, -2, 20/3, 0, 2, 1/2, 0, 9, 20, -11/6, 0, 21/2, 
  -1, -1/2, -9/2, 27/8, 0, -81/8, 45/8, 27/4, -48, 27/4, 81/2, 0, -12, -71/6, 
  -5/4, -27/4, 277/4, -81/4, 12, -85/4, -4, 6, 1/3, -13/3, 5, -11, 0, 0, 0, 
  0, 0, 0, -7, 7, 0, -6, -137/8, 6361/96, -7165/96, -3299/16, -81/4, 0, -1/3, 
  -5/12, -2/3, 0, 0, 0, 1/3, 1/6, 1/6, 0, 0, 0, 0, -1/4, 1/4, 5/4, 0, -5/4, 
  0, 0, 0, 0, -5, 0, 0, 1, -19/8, 135/4, 9891/16, -7287/16, 1459/96, 
  -4627/192, -42069/64, -1919/96, -1045/16, -271/8, -2229/8, -25/12, -27/4, 
  1/4, -3, -249/64, -4, -1221/16, -4107/64, -5/6, 10/3, 17/4, -3/4, 841/64, 
  4875/64, 1/4, -3/2, -39/4, -19011/64, 591/16, 771/64, 15051/64, -951/64, 
  1955/48, 3523/12, -737/32, -749/16, -1535/16, 9833/64, 5979/64, -1937/48, 
  -27/2, 32, 24, -16/3, -7, 1/12, -1/2, -5/12, 5/2, -35/3, -10, 7/6, 851/18, 
  20/3, -971/18, 12, -7/6, -163/18, -3/2, 175/18, 3/2, 0, 0, 0, 0, 0, 1/2, 0, 
  0, 1/2, -1/2, 1/2, 0, 1/2, 0, 0, 0, -1/2, 1/2, -1/2, 4/3, 8/3, 407/3, -19, 
  -1939/18, 313/5, 77/36, 407/6, -3314/15, -293/2, -19/2, -20237/120, 
  -1939/36, 889/5, 77/72, 4333/30, -2233/30, -20237/120, 4333/30, 13673/60, 
  2381/12, -1151/12, -2572/15, -7585/36, -19/4, -31417/240, 4831/24, 
  20371/90, -4793/48, -3137/180, 797/6, -2503/30, -186287/720, 8561/60, 
  43/60, 3589/12, -1079/12, 1187/60, -925/4, -19/4, -17619/80, 1533/8, 
  2529/10, -4313/48, -56777/180, 439/2, -1187/20, -211967/720, 2077/20, 0, 0, 
  0, 0, 0, -295/2, -145, 21, 2338/15, 1127/8, 169/30, 27/10, -1773/10, 
  -295/2, 183/10, 323/10, 0, 16957/240, 6817/60, 4251/80, -113/15, -7499/30, 
  -453/10, 15857/240, -677/10, -174/5, -54681/400, -24003/800, 681/20, 
  43851/400, 183/2, 0, 714/5, -213/10, 0, -97881/400, 0, -5451/20, -579/20, 
  123381/400, 579/4, -4307/40, 34729/200, -541/10, 693/10, 1/4, 23/16, 165/4, 
  -15/2, -19/16, 491/8, -153/4, 139/16, -1023/16, -9, -25/12, 141/32, 111/4, 
  25/16, -311/32, -25/4, 53/12, -121/32, 35/24, -5/6, 9/4, -561/16, 3, 
  -79/16, 187/4, 71/8, -6, 531/16, 507/16, 23/6, 31/2, 81/8, 13/8, -16, -3/2, 
  0, -1/5, -15/4, 5/4, -1/2, 331/216, 107/24, -19/6, -65/12, 7/2, 0, 0, 0, 0, 
  -1/4, 2247/80, -20947/800, 7/12, -5371/120, -55/18, 557/20, -19547/400, 
  8407/400, -1343/30, 381/10, 13/4, 7/2, -8/3, -6, 0, -1/2, 9/2, 9/2, 0, 
  -155/144, -9/2, 5/6, 7/24, -1/16, 1/2, -17/3, 21/4, 7/18, -57/8, -7/6, 7/6, 
  -15/4, 1/2, 7/2, -315/8, -571/8, 21/2, -13/8, 2, 89, -107/8, 75/2, 33/4, 
  -9/2, 89/2, 149/8, -39/8, -267/8, 13/2, -179/24, -39/8, 21/8, 203/24, 
  -53/8, 167/8, -219/4, 97/8, -367/4, -51/4, 121/8, 21/4, -55/8, -23/2, 
  -19/4, 57/4, 9/2, 7/4, 0, -21/4, 17, 3/2, -1/4, -50/3, -697/12, 97/4, -47, 
  39, -2, -1/4, -31/6, 25, 229/3, 7/4, 7/4, 19/4, -155/4, -1/3, 1/4, 481/12, 
  207/4, 34/3, 525/4, -143/2, -45/2, -217/3, -129/2, 155/4, -427/12, -243/4, 
  35/2, 251/4, 15, 0, 195/4, 251/2, -141/4, 0, -290/3, -151, 0, 521/12, 0, 
  1/4, -269/4, -203/4, -31/2, 103, 37/4, -7/4, 20, 65/4, 25/12, -195/4, 
  -1097/12, 245/2, 226/3, 275/2, -265/12, 261/4, 23, -257/4, -47/2, -409/12, 
  -1145/12, -47/6, 135/4, 49/6, 3/4, 21/4, 0, -9/4, -15/4, 30, 15/2, 3/2, -6, 
  -81/8, 18, 3, 117/2, -23/2, -207/4, 11/6, -111/4, -52, 101/24, -3/4, 9, 
  -39/4, -129/2, 6, -99/4, -39/4, 25, 121/6, -9/2, 27, 9/2, 0, 37, 235/6, 
  -63/4, -1097/12, -235/6, 45, 653/12, -117/4, -1/2, -697/24, -1/2, 481/24, 
  649/24, -745/24, -113/36, 5/2, 71/9, -2/9, -14, 14/3, 122/3, -167/12, 
  -151/12, 359/12, 443/24, -515/24, 23/6, -133/18, -83/4, -325/12, 97/24, 
  189/8, -67/12, 0, -2457/40, -29/2, 31, 0, 36599/400, 29/2, 0, -12029/400, 
  0, -29/5, 129, -23/4, -16623/800, -38199/400, -44689/1600, 659/40, 
  -3539/120, -157867/4800, -10751/720, 531/10, 203/8, -67/4, -12131/160, 
  -87/4, 8643/320, -5083/72, -1391/24, 968531/2880, 15223/720, 173/12, -90, 
  -247/8, 3931/72, 49/2, -9/8, 69/2, 15, 15/4, -261/4, -15, -33/8, 123/4, 
  3/2, 15/2, -73/2, -15, -69/4, 101/4, -27/4, -115/8, 2, 239/12, 8, -27, 
  -81/4, 51/2, 81/4, 3/2, 203/4, 81/4, -173/8, -95/4, 51/4, -51/4, -51/4, 0, 
  0, -7/12, -14/9, 155/48, -395/72, 9/8, 25/3, -23/24, -311/144, 2, 0, -6, 0, 
  0, 24, 0, 0, -12, 0, 6, -6, -12, 12, 0, 6, 1/8, 1/8, -11/8, 9/8, -7/12, 
  -5/12, 1, 11/36, 0, 5/6, 61/48, -145/12, 75/8, -16/9, -53/12, 5/16, 13/2, 
  -21/2, -23/3, 0, 0, -3/20, -149/18, -55/2, -1, 331/108, 53/6, -29/6, -77/4, 
  22/3, -11/20, -37/4, 589/54, 2443/240, -4073/108, -1145/144, -71/30, 
  848/45, -2767/80, 0, 0, 0, 0, 0, -139/8, 1211/80, 1069/400, 98/3, -22/15, 
  -929/72, 0, 8, -65/8, -15/2, 63/16, 39/2, -129/2, -3, -231/4, 51/4, -9/2, 
  -4079/144, -39/2, -443/16, 245/9, 155/4, 49/4, 557/24, 1019/36, -223/48, 
  -7/2, 281/8, -51/8, 201/16, 453/8, 45/4, 1981/72, -2/3, -53/3, -605/36, 
  -81/4, 165/8, 39/4, 163/6, -81/8, 1/2, 7/32, 121/32, -61/16, -2/3, -97/24, 
  291/32, -19/12, 203/96, -5/6, 29/8, 79/8, -8, -1331/96, -221/32, 673/96, 
  -11/2, 481/32, -231/16, -203/64, 0, 17/5, 182/9, 51/2, 1, -1357/108, 
  -125/4, 8/3, 205/12, -1/3, -17/10, -52/3, -394/9, -1529/720, 232/3, 
  581/144, 158/15, 1162/45, 87/80, -9, 0, 0, 0, 0, 3/4, -2247/80, 20947/800, 
  -19/12, 1787/40, 55/18, -567/20, 20347/400, -10007/400, 451/10, -391/10, 
  -37/12, -9/2, 15/2, 11/2, 0, 1/2, -29/16, -59/16, -9/4, 1, 227/24, -23/8, 
  -81/16, -59/48, 7/24, 31/16, -149/8, -407/16, -133/48, 213/8, -37/8, 29/2, 
  249/16, -27/4, 161/64, 0, -2/5, -19/3, -85/6, -1, 331/108, 4/3, -29/6, 
  -881/72, 7, 7/60, -55/6, 127/27, 6949/720, -5321/216, -1145/144, -143/40, 
  2101/90, -2747/80, 0, 0, 4471/160, -69/4, -65/8, 0, -21577/400, 37/4, 0, 
  45269/1600, 0, 1, -53099/960, -7/4, -1049/160, 726/25, 1881/320, -95/24, 
  18503/960, 871/48, 95/12, -2423/160, 1165/32, 3/2, 21107/800, -27, 
  -3931/320, 35071/960, -275/32, -7421/400, -5601/320, -545/32, 205/16, 45/2, 
  -1017/32, -255/16, 1/4, -57/16, 91/64, 93/8, -33/8, -13753/64, 2123/64, 
  31/16, 10697/64, -15/32, 97/24, 2591/192, -111/16, 1535/192, 12059/64, 
  -623/32, -137/12, -2411/192, -1523/192, 383/48, 55/4, 2423/64, -591/16, 
  -4265/64, 527/16, 255/2, -2557/48, -1195/192, 4867/64, 857/16, 54, 305/8, 
  -3/4, 1963/24, 27/2, 0, 43/20, 113/4, 51/4, 25/32, 199/160, -35/6, 1/2, 
  689/120, 103/24, -7/2, -317/72, -199/8, 207/160, 2857/48, -5611/1440, 
  119/6, 177/8, -2527/288, -107/6, -769/160, -805/96, -17/6, 4027/480, 
  5399/144, -1/2, 12883/720, 1229/144, -8009/480, -1937/144, -737/32, 265/48, 
  -221/48, -2365/288, -159/16, 0, 0, 0, 0, 23/4, 15007/480, -31661/960, 
  -265/24, -2651/48, 1/2, 557/20, -124607/2400, 134707/4800, -1333/30, 
  10097/240, 35/12, 7/2, -13/3, -6, 0, 1/6, 17/6, -1, 1/3, 11/18, -19/6, 2/9, 
  -3/2, -149/12, 25/6, 151/12, 10/3, -1/12, -37/3, 0, 0, 0, -35/12, 35/12, 0, 
  0, 0, 227/12, -179/12, -19/12, 1/12, 1/6, 425/12, 1/12, 3/8, -15/2, 45/8, 
  -37/4, -3, 141/8, 157/8, -21/8, -19/8, 0, -11/4, 37/4, 259/12, 1/8, -45/4, 
  163/8, 71/8, -25/6, -41/24, -47/6, 51/8, 3/4, 25/8, -675/8, 211/8, -71/4, 
  -15, 679/8, 95/8, 3/8, 3/8, 1/8, 0, -109/6, -55/3, -9/2, 0, 239/12, 133/12, 
  0, -15/4, 0, -271/24, 641/24, 431/24, 12, -145/12, -21/8, 71/3, -63/8, 
  -277/24, -289/24, 9/40, 1871/24, -857/18, -3, 439/60, -16141/360, 1435/18, 
  35/8, 218/5, -19/2, 521/1440, -3569/216, -25/3, 1037/15, -3889/36, -123/10, 
  -2359/288, 199/48, 2905/72, 109/8, -6661/90, 361/6, -123/4, -865/24, 
  -9511/72, 147/8, -2285/36, -715/18, 2659/180, 9779/288, 6841/90, 319/8, 
  -11/8, 8327/288, -21/8, 0, -31/24, -19, 59/8, 0, 553/48, 241/8, 0, 
  -64723/2400, 0, -647/48, 1883/48, 73/6, -5409/800, -46037/2400, 64723/2400, 
  3297/80, -63/5, -26263/2400, -7679/360, 31/24, 505/24, -77/8, -59/4, 
  -181/12, 533/24, -71/24, 407/24, -110/3, -25/4, -49/24, -37/24, -201/8, 
  -87/8, 91/24, -1/4, -853/40, 7/2, -9/2, 1, 34073/800, -33/4, -5/4, 
  -17613/800, 0, 1159/80, 239/5, -5/4, -64719/1600, -35269/800, 21513/800, 
  -3577/80, -759/40, 163807/2400, 1539/40, 0, 409/20, 7/9, -15/2, -3/10, 
  -19747/400, 23/18, -61/30, 142903/3600, 0, 7/4, -18019/540, -33/4, 
  6533/180, 341/60, -47617/800, -61/4, -12, -35731/720, 185/18, 3/10, -49/30, 
  -83/18, 1, -1/60, 19/15, 439/18, -17/60, -176/45, 0, 2863/720, 1457/108, 
  -569/48, -527/60, -3359/144, 1081/120, -391/36, 7/2, 917/72, 45/4, 9/20, 
  -6191/180, 7037/540, 0, 149/30, -7903/180, -41131/270, 47/12, -2639/45, 
  21/2, 3561/160, 4867/160, 1/12, 213/20, 146677/1440, 101633/1440, 
  -1969/288, 1349/48, 5585/864, -1151/72, 97/9, -2093/20, -100/3, 7393/45, 
  9809/180, -506/3, 69797/720, 102397/720, -7327/36, -10769/90, 5489/90, 
  85/6, -22, -62467/720, -41/6, 0, 581/20, -298/5, -9/2, 0, -15911/400, 
  769/20, 0, -6503/400, 0, -13577/240, 10117/240, 61/2, 184043/2400, 
  -19543/2400, -3631/400, 5017/80, -1491/40, -176617/2400, 598/45, 
  -10289/120, 1387/12, -93/2, 39761/300, -8243/60, -4323/160, 3971/120, 
  -1619/30, 84577/2400, 10723/120, -3119/60, 193/2, 187/4, 1087/30, -113/2, 
  0, -11251/360, 827/108, 45/2, 3/20, 968419/7200, 1789/108, 61/60, 
  -82911/800, 0, 1183/48, 38473/720, 239/24, -971791/7200, -483911/7200, 
  434189/2880, -15307/720, 771/40, 1601759/10800, -361/90, 59/80, -29/2, 
  527/36, 11089/480, -3373/72, -1991/96, -1089/80, 2131/60, -8931/160, 0, 
  -6807/80, -18787/60, 1041/8, 123621/800, 104633/480, -39069/400, 26899/160, 
  19379/120, -18639/160, -1151/32, 51943/240, -2567/6, -56993/480, 
  -12043/240, 3673/12, 3263/160, 3329/32, 571/8, -39223/960, -6035/192, 
  1055/192, 215/4, -137/4, 6593/96, 569/16, -637/4, 58619/120, -293/2, 
  39657/160, -184733/480, -37249/400, 1171/8, -12547/60, -423/4, -121/6, 
  -43829/120, 10583/24, 98513/480, 5201/30, -7241/24, -9, -141/8, 27/8, 27/2, 
  45/8, -26/3, 9/4, -3/4, 311/8, -1579/8, 123/8, -581/8, 1013/4, -167/8, 
  133/8, 1303/8, -18, -81/2, 84, -799/8, -123/2, -341/8, 139/4, 37/20, 
  -701/4, -845/6, -368/15, 819/4, 518/5, 2663/24, -401/144, 1867/40, 2503/72, 
  1167/20, -741/4, -4399/40, 4105/48, 63/4, 5681/24, -157033/1440, 
  -68801/160, 157033/1440, 92783/480, -605107/2880, -1706/15, 110663/576, 
  34877/480, -937/30, 937/30, -2297/120, 1413/10, -303/2, -91/2, -108021/400, 
  3543/20, 256293/1600, 121, -211/4, -343/5, 106, -7189/160, 34993/400, 
  -13489/320, 50479/480, 78719/4800, -26267/480, 1409/16, 16, -8831/96, 
  745/16, 93/16, 3825/16, -4391/72, -931/40, -189851/360, 761/40, -25997/160, 
  144, 329657/1440, 4781/288, -4339/80, 39793/120, 2559/40, -25957/480, 18, 
  1671/40, -25517/120, 3301/40, -18333/400, -184813/4800, -51027/1600, 
  -2831/40, 53713/960, -177/80, 127/8, 26147/120, -14111/240, 175213/4800, 
  -52633/960, -1139/48, 405/8, 661/8, -45/2, -10341/80, -979/8, 4373/50, 
  -16813/240, -569/4, 104633/800, 4471/80, 157/8, 1395/32, -363/16, 33/8, 
  -1273/16, -571/10, -26/3, -221/9, 56281/600, -556/45, -6407/200, 32083/360, 
  275/3, -1241/40, -1159/72, 41/15, 794/45, 0, 1167/40, -17, 1843/120, 43/3, 
  229/36, -981/40, 2173/60, 193/8, 205/8, -707/72, -4355/72, -731/9, -53/120, 
  -8117/360, 841/96, -3137/90, 1573/48, 561/40, -91577/240, -202933/720, 
  -66557/240, 10483/90, 32801/240, -53/40, 1026731/1440, 382849/720, -707/48, 
  16537/48, 17901/80, 10051/60, -102401/480, -825/4, -4109/20, 12289/40, 
  -1067/80, 7599/16, -117943/800, -56857/200, 3547/16, -99531/320, 
  -286209/1600, 8701/80, -10189/40, -12603/80, 1861/10, 93591/160, 207, 
  -2537/10, 120113/288, 29513/120, 28237/160, -9223/72, 53/2, 745711/2880, 
  -26705/288, 22327/720, -125891/1440, -70073/360, 13277/120, 265/4, 
  14909/288, 3/4, 5887/80, 10889/48, -26, -42629/400, 152401/4800, 
  24003/1600, -48313/240, 1511/48, -87421/4800, -783/16, -102/5, -1381/15, 
  -31/4, 1396/15, 25/4, -5931/80, 4357/96, 949/9, -39443/480, -26143/120, 
  154563/800, -7051/64, -6745/36, -140707/4800, 48199/320, 5074/45, 
  -10927/48, -508559/1600, 1798397/2880, -36763/144, 0, 0, 0, 0, 0, 0, 0, 0, 
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  1/2, 1, 1/2, -1/2, -1/2, 0, 0, 0, -1/8, 0, 1/8, 1/4, -1/8, 1/4, -1/8, -1/4, 
  0, -3/8, 1/8, -1/8, 1/4, 1/8, 1/8, -1/8, -3/4, -1/2, 3/4, 1/2, 1/2, 1/2, 
  -3/4, 1/4, -1/4, 1/4, 0, 0, 0, 0, -3/4, 0, 3/4, 3/4, 0, 0, 0, -3/4, 0, 
  -1/8, 5/8, 1/8, 0, -5/8, 1/4, -5/8, -1/8, 1/8, 1/8, -1/8, 1/2, -1/8, -3/8, 
  3/8, 0, -1/8, 1/8, 0, 1/16, 3/8, -1/16, -3/16, -3/8, 1/16, 1/8, -1/2, 
  -7/16, 1/2, 13/16, -1/8, 7/16, -7/16, 0, -5/16, 5/16, 1/4, 0, 5/16, -5/16, 
  0, 0, 0, 0, 0, 0, -3/16, 0, 1/16, 0, 1/8, -1/16, -1/16, 0, 0, 0, 5/16, 
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  -1/8, -7/24, 3/8, 5/12, -1/8, -1, 1/4, 1/2, 0, 7/8, 5/8, -3/8, -19/24, 3/8, 
  0, -1/8, -1/16, 1/16, 1/16, 0, -1/16, 1/8, -3/16, 1/16, 0, -1/8, -5/32, 0, 
  -1/8, 1/16, 1/4, 0, 3/32, 1/4, 0, 0, -1/16, 5/16, 1/4, -1/16, 3/8, -1/32, 
  1/16, -3/16, -1/32, 13/48, -1/24, 13/48, -1/4, -5/24, -5/24, -5/24, 0, 1/4, 
  5/16, 1/8, -5/32, -1/2, -5/32, -1/4, 0, 1/16, -11/16, -17/32, -7/16, 7/32, 
  5/16, -13/48, 7/24, 11/24, 5/24, -1/8, -5/32, 5/32, 1/4, 0, 3/8, 9/32, 
  -9/32, -1/4, 0, -3/8, 0, 1/2, 0, 0, 0, 0, 1/8, 11/16, 1/2, -7/8, 5/16, 
  -1/16, -5/12, 1/24, -7/12, -3/4, 5/48, -1/8, -1/3, 7/24, 5/12, -1/4, 15/16, 
  5/8, -3/4, -5/16, -1/4, 0, 3/4, -1, -17/16, 3/2, -9/16, -5/6, 23/24, -7/12, 
  1/3, 0, -5/16, 5/16, 1/2, 0, 1/2, 9/16, -9/16, -1/2, 0, -1/4, -3/8, 0, 1/4, 
  1/2, 0, 1/8, 11/16, 1/2, 0, -1/16, -7/8, 3/16, 0, -3/8, -7/12, -1/8, -1/12, 
  -3/16, -1/8, -1/3, 17/24, 5/12, 0, 1/4, 1, -1/4, -3/4, 0, 1/8, -19/16, 
  -17/16, -7/16, 13/8, 0, 0, 23/24, -7/24, -1/12, -5/8, 1/4, 1/4, 9/16, 
  -19/16, -1/2, -1/8, -3/16, 0, 1/8, 1/4, 0, 0, 0, 1/4, 1/4, 0, 1/16, -1/4, 
  0, 1/32, 0, 0, 0, 1/16, -1/24, -1/16, -7/24, -1/8, -1/16, 1/16, -1/32, 
  -5/24, 5/24, -5/24, 7/48, 1/8, 1/2, -1/8, -3/8, 0, -3/8, -9/16, 0, 11/16, 
  0, -5/32, -1/8, 0, 11/48, 1/6, 1/16, -9/32, -7/48, -5/16, 1/8, 7/16, -7/16, 
  1/8, 0, 5/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3/2, -3/2, 
  -3/4, 0, -3/4, 3/4, 3/4, 3/4, 3/4, 3/2, 3/4, -3/4, -3/2, -3/4, 0, 0, 3/4, 
  3/4, 3/4, 3/4, -3/4, -3/4, 3/4, 0, 3/4, 0, 3/4, -3/4, -3/4, -3/4, -3/4, 
  -3/2, -3/4, 3/4, 3/2, 0, -3/4, 0, 0, 3/4, 3/2, -3/4, -3/2, -3/4, 3/4, 3/4, 
  3/4, -3/4, -2, -1/2, 0, 0, 1/2, -1/2, 1, 1/4, 0, 1/2, 1/2, -1/2, 1/4, 3/4, 
  -3/2, -1/2, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, 0, -3/4, 3/4, 3/4, 3/4, 3/4, 3/2, 
  3/4, -3/4, -3/2, -3/4, -3/4, 0, 0, 3/4, 3/4, 3/4, -3/4, -3/4, -3/4, 3/2, 0, 
  0, 0, 3/4, 0, -3/2, 0, 3/4, -3/2, 0, 3/2, 3/4, 3/4, -3/4, -3/4, 0, 0, -3/4, 
  0, 3/4, 3/4, -1/4, 0, 1/4, 0, -1/4, 0, -7/4, 0, 0, -7/8, -3, 21/4, -1/4, 0, 
  1/4, -3/4, -1/4, 1/4, 0, -1/4, -3/4, 1/4, 0, 0, 0, 0, 0, 1/4, 0, -1/4, 3/4, 
  1/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3/4, 0, 3/2, 0, -3/4, 3/2, 0, -3/2, 
  -3/4, -3/4, 3/4, 3/4, 0, 0, 0, -9/4, 0, 3/4, -3/4, 0, 1, 0, -13/4, -1, -1, 
  0, 0, 1/4, 0, 0, 0, -3/2, -3/4, 3/4, 3/4, -3/4, -3/4, 0, 0, 1/2, -3, 1/4, 
  9/4, 7/2, 9/4, -1/2, 1/2, 3/2, -15/4, -3, 3/2, -1, -3/2, 7/4, 3/2, 9/4, 
  1/2, 3/4, 1, -1, 0, -15/4, -3/2, 3/2, 0, 0, -1/2, 0, 1/2, -1, 0, 0, -1/2, 
  -1/2, 1/2, -1/4, -3/4, 7/2, 1/4, 3/2, 0, 3/4, -3/2, -3/4, -1, -1/4, -3/4, 
  1/4, 1/4, 15/4, 1, -3/2, 0, -3/4, 3/2, 3/4, 1, 1/4, 3/4, -1/4, -1/4, -15/4, 
  -1/2, 1/2, 3/4, 1/4, -1/4, 1/4, 0, 0, 3/4, -1/4, -3/4, 1/2, -5/4, 1/4, 
  -1/2, 1, 0, 1/4, 3/2, 3/4, 5/8, -1/2, 9/8, 11/8, 3/2, -9/8, -11/8, 0, -4, 
  4, -4, 0, -7/4, -11/8, 1/2, -3/8, -7/8, -3, -5/8, 21/4, 3/4, 3, 9/8, 5/8, 
  -3/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/8, 1/8, 1/4, 0, 0, 3/16, 
  7/48, 0, -5/48, 0, 0, 5/48, 0, 1/8, 1/2, -1/8, -1/2, -3/16, -1/2, -1/12, 
  -7/192, -5/48, 59/192, 13/48, -13/192, -29/24, -1/48, -41/96, -59/64, 
  41/96, 0, 0, 0, -3/16, 0, 0, 0, 0, -13/192, 0, 5/48, 3/8, 1/2, -1, -1/2, 0, 
  -1/4, 1/4, -1/24, 0, 0, 5/6, -1/6, 17/24, 0, 1/12, -2/3, 0, 1/2, 1/2, 
  -47/24, -175/36, -1/2, -1, 121/36, 101/72, 1/2, -101/72, 343/72, -61/9, 
  -1/3, -671/72, -10/9, 383/54, 41/9, 233/24, 3/2, -233/24, 0, -1/8, 1/2, 0, 
  181/72, 0, -3/4, 0, 0, 0, 3, 1/2, -289/72, 0, 1/4, -217/72, 0, 41/36, 0, 
  -39/8, 349/72, -37/216, 10/9, -1/8, 95/36, 1/8, -79/12, -1/8, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, -1/4, 1/4, 3/4, 0, 1/4, 1/4, -3/4, -3/4, 1/4, 1/4, 3/4, 3/4, 
  3/4, 17/8, -1/8, 1/8, -15/8, -1/8, -3/8, 3/8, 0, 3/8, -3/8, 0, -3/4, 5/8, 
  5/4, 1, -1/8, 5/4, 1/4, -3/8, -1/2, -17/8, 25/8, 7/4, 5, 3/8, 23/4, 5/4, 
  -19/8, -29/8, 11/8, 3/8, -3/4, -11/8, 0, 1/12, 0, -1/12, 0, 1/12, 3/8, 0, 
  35/24, 0, 1/2, -1/8, -5/8, -1/2, 0, -17/24, 23/8, 0, 45/8, 0, 5/4, 2/3, 
  -5/4, -17/4, 1/2, -21/8, -3/8, -15/4, -1/4, 2, -79/24, -1/2, 17/8, 35/24, 
  11/8, 5/3, 1/2, -9/8, -11/8, -1, -5/32, 5/32, -5/64, 5/64, 5/64, -15/64, 
  -5/32, 0, 0, 0, 3/16, 33/16, 0, -1/8, 157/32, 23/32, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 1/8, 1/8, 1/8, -1/8, 0, 0, 0, 0, -13/4, -13/4, 3, 3, 3, 9/4, 0, 0, 
  0, 0, -21/8, -1, 9/2, 5/4, -13/8, -9/4, -9/4, 0, 13/2, 7/2, -5/2, 9/2, 9/4, 
  -31/8, -9/4, -1/4, -1/4, 1/4, 1/4, 1/2, 1/4, -1/4, 0, 0, 0, 0, -1/8, 0, 
  37/24, 0, 0, 1, -37/24, -3/4, 0, 0, 1/8, -1/8, -37/24, -7/8, 0, 1/8, 0, 0, 
  0, -13/24, -3/8, 1/6, 1/24, 0, 23/96, 0, -59/96, -2/3, 0, 77/96, 1/3, 0, 0, 
  0, 0, 0, 0, 0, -3/8, 0, 1/6, 0, 3/8, 1/3, 0, 0, 0, 0, 0, -21/4, 27/4, 0, 0, 
  3/8, 1/4, -3/8, -1/4, -3/8, 1/4, -23/96, 0, 59/96, 0, -1/2, -13/96, -17/24, 
  25/12, 23/96, -59/96, 77/96, -1/6, 1/3, -1/3, 1/6, 1/6, 0, -1/6, 1/3, -1/3, 
  -1/6, 5/12, 1/12, -11/12, -1/6, 1/6, -1/6, 0, 0, 0, -1/4, 1/4, 0, -1/6, 
  -7/24, 1/3, -1/4, -1/24, 13/12, 1/12, 5/6, 53/24, -1/24, -2/3, -19/12, 
  163/72, -361/72, 7/6, 35/24, -107/36, -7/3, -1/2, -1, -187/72, -7/3, 
  -97/36, 19/72, 1, 7/6, 149/72, -163/72, 146/9, 10/3, 70/9, 7/3, 491/72, 
  -115/18, -232/27, -41/9, -269/24, -9/2, 269/24, 1/4, 0, 0, 0, -11/4, 15/4, 
  -1/3, -53/12, 61/36, 10/9, -41/12, -43/18, 7/3, 1/2, 1, 89/36, -20/9, 
  109/18, 41/36, -1, 10/9, -125/36, 235/36, -301/18, -10/3, -253/18, -13/6, 
  -545/36, 52/9, 410/27, 155/18, 251/12, 6, -251/12, -41/12, 187/36, 49/36, 
  0, -17/12, 85/18, 0, 1, 0, -37/36, -179/36, 35/12, -5/36, -1, 175/36, 
  -55/12, 1/3, 41/12, -161/9, -88/9, -3/2, -17/18, -89/12, 91/6, 224/27, 
  17/3, 457/36, 26/3, -215/12, 0, -3/4, 3/8, 1, -61/24, 181/72, 0, -5/8, 0, 
  -5/4, -7/4, 47/12, 65/72, -1/8, 1, -47/12, 8/3, -41/8, -199/72, -7/8, 
  37/18, -1/8, -113/12, 161/72, 1279/216, 77/12, 103/9, 133/24, 1/8, -91/6, 
  0, -1/4, 1/4, -9/4, -2, 11/4, 13/4, 0, 3, 3, 0, 1/4, 1/2, -1/8, 1/2, 3/8, 
  0, 15/8, 1, -3, 13/8, 1/8, 0, -23/4, -1/8, 1, 1/4, 9/8, -1, 0, -9/8, -1/4, 
  0, -2, 1/2, -7/2, -19/8, 0, -1/2, -5/4, 0, 3/4, -1/2, 1/8, -5/4, 1/2, 21/4, 
  -23/8, -3/8, 43/8, 0, 0, -1/4, -3/8, 0, -1/4, 3/8, 0, 1/2, 0, 0, 5/4, 5/4, 
  5/4, 9/8, -1/2, 0, -3/2, -7/4, 0, 1, 3, 1/8, 0, -21/8, -3/8, -1, -71/8, 
  -57/8, 11/4, -9/2, -3/8, -1/8, 81/8, 1/4, -1/4, -7/8, -1/4, -9/8, 7/8, 0, 
  11/8, 1/4, 0, 1/4, 9/4, -1/4, 37/8, 17/8, 0, 0, 1/2, 0, -1/4, -3/4, 1/8, 
  3/4, 3/8, -3/4, 7/4, -15/8, -33/8, -7/2, 13/8, -3/8, 0, 1, 1/4, -1/2, -1/4, 
  3/8, 1/4, 0, 1/8, 0, 1, -1/2, -1/2, 5/8, 1, 0, -1/2, 1/8, -1/4, 7/8, -3/8, 
  0, 1/4, 3, 11/4, -7/2, 9/4, 1/2, 1/2, -57/8, -1/4, 3/8, 0, 3/2, -9/8, -3/4, 
  -2, -2, 3/8, 7/8, 5/8, -3/8, -3/2, -5/8, 3/8, 5/8, 0, -3/4, -9/8, 5/8, 2, 
  33/8, -5/8, 5/4, -3/4, -13/8, -1/2, -13/8, 45/8, 25/4, 27/8, 39/8, -3/2, 
  19/4, -25/8, -25/8, -25/8, 1/8, 9/4, 15/8, -1/8, 0, 0, 0, 0, 0, -5/4, 7/8, 
  5/2, 55/24, -1/2, 5/2, -7/8, -29/8, -1/2, 0, 3/4, 7/8, 5/8, 3/8, -1, 0, 
  -3/4, -1, 3/4, -15/8, 3/8, 3/4, -1/4, -41/8, -25/8, -17/8, -1/8, 9/4, 0, 
  19/8, -7/8, 0, 11/8, -9/8, -27/8, -11/8, 1/2, -5/24, 0, 0, 0, -1/2, -3/4, 
  1/6, 3/8, 3/4, 3/2, -9/8, 11/2, 3/2, 13/2, -3/4, 53/8, 2/3, -4, -15/4, 5/2, 
  -3/2, -1/4, -3, -1/2, 1/24, 1/3, 0, -7/24, -1/3, 0, 1/4, 0, -1/2, -7/24, 1, 
  7/8, 17/6, 0, 7/4, 1/8, -1, -1, -5/8, 1/12, 23/4, 11/8, 21/2, -5/8, 11/2, 
  1/24, -33/8, -53/8, 2, -3, -3/8, -21/4, -1/2, -77/32, 59/16, 139/16, -11/2, 
  557/96, -55/32, -1/96, -293/96, 551/48, 169/32, 185/32, 611/96, 1/2, 3/2, 
  83/16, -11/2, -127/24, 89/24, 17/16, 41/6, -1/96, -419/96, 551/48, 175/24, 
  59/8, 59/32, 737/96, 53/32, -21/64, 0, 3/2, 1/4, 117/64, -1/4, 17/32, 
  -7/16, 9/16, 7/32, 27/8, 61/16, -21/64, 0, -13/32, 5/64, 0, 13/32, 0, 
  17/32, -7/8, -103/32, -21/32, 27/8, 91/16, 0, -37/32, -261/64, -1/2, 
  169/64, 27/64, 7/16, 515/96, 79/32, -15/8, 17/16, 325/32, -5/8, -51/32, 
  -3/64, -1/2, 85/32, -5/64, -49/48, -189/64, 29/16, -17/6, 57/32, 33/16, 
  -227/48, 1/32, 31/64, 25/8, -129/64, 0, 0, 0, 0, -11/4, 0, 0, 11/4, 0, 5/4, 
  -11/4, -5/4, 5/4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, 0, 1/8, 0, 3/8, 
  1/16, 1/2, 1/16, -1/8, -3/16, 0, 3/4, 0, 0, -5/8, 0, -1/16, -5/8, 3/16, 
  1/8, 0, -3/2, 5/8, 0, 5/4, 0, 1/16, 9/8, -3/16, -1/8, 3/4, -5/4, -5/8, 
  -1/2, 5/8, 0, -1/4, 0, 0, 3/8, 0, -11/16, 3/8, 9/16, -3/8, 7/4, -3/8, 
  -15/8, -1, 15/8, 13/8, -3, 11/8, -17/4, 4, 21/8, -1/4, 1/4, 1/4, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -1/8, 0, -1/6, 0, 0, -5/8, 1/6, 3/4, 0, 1/8, 0, 0, 0, 
  -35/24, 0, 19/12, 0, -15/4, -3/8, 0, 181/24, 59/12, -65/24, 22/3, 13/4, 
  -175/24, -3, -1/8, 7/8, 3/4, 29/24, -1/8, 3/2, -5/2, -7/8, 31/24, 101/24, 
  -7/8, -3/2, 3/8, 21/8, 3/4, 0, 0, 0, 1/4, 11/32, 0, 0, 1/16, -9/16, -1/2, 
  0, -1/8, -1/8, -1/3, 1/12, -1/16, 17/48, 5/12, 5/24, 0, -3/8, -13/16, -1/8, 
  1/8, -1/8, -1/16, 17/16, 35/32, 29/48, -15/32, 13/48, -25/48, -29/48, 
  -5/24, 1/8, 15/32, -19/32, 1/8, -3/8, -23/32, 19/32, 1/4, 0, -1/4, -3/8, 0, 
  0, 0, 0, 3/8, 0, 1/4, 0, 113/24, 59/16, 3/4, 2, -57/16, -4, -175/48, 13/8, 
  -163/24, -11/4, -19/4, 497/192, 57/16, 61/24, 7/4, 0, 5/8, 3/8, -1/4, 0, 
  119/48, 97/64, 215/256, 103/192, 0, 1/4, 0, 11/768, 0, 0, 0, 0, 0, 0, 0, 
  1/4, 15/16, 3/4, 0, 1/8, -9/16, 0, 0, 0, -1/8, -79/24, -11/4, -3/4, 
  -175/192, 9/16, 5/12, 61/24, 4/3, 0, 0, 1/16, 3/32, 0, 3/16, 131/192, 
  -3/16, -125/96, 97/64, 205/768, 61/64, 119/384, 0, 11/768, -3/4, 0, -1/6, 
  1/6, 11/4, -7/6, -3/4, 1/12, 0, 1/6, -1/12, -1/6, -1/4, 3/8, -1/24, 0, 1/6, 
  -1/6, -11/4, 7/6, 3/2, 0, 0, -77/36, 0, 5/8, 0, 1/4, -3/2, -37/36, 
  -2213/288, 21/16, 15/4, 1/16, 23/4, 191/48, 4951/288, -59/16, -11/2, 
  -295/72, -13/6, -5/8, 0, 1567/96, 1/32, -1291/576, -6031/576, 35/72, -7/12, 
  209/144, 0, -647/864, 1/4, 3, -301/288, 0, -2, -65/32, 0, 0, -19/6, 101/72, 
  -109/72, 0, 1/16, 7/8, 0, 1/4, 1/16, 55/16, 3/2, 1/8, 43/18, -545/144, 0, 
  7/8, 1/16, -5/24, -11/4, -23/48, 301/36, 1/16, -1/3, 5/24, 0, 221/36, 
  97/144, 13/6, 11/6, -1333/144, -161/36, 5/16, -9/8, 0, -1/16, -1049/144, 
  -347/96, -445/144, 673/144, -1/32, 13/48, -19/48, 157/144, -5/24, -149/36, 
  3187/288, 7/12, 1889/288, 53/24, 0, 143/18, -643/288, -5723/864, -137/36, 
  -233/24, -3, 233/24, 0, 13/16, 9/8, 0, 0, -23/9, -271/144, -9/8, 0, 0, 0, 
  0, 0, 3/2, 27/8, 3, 83/72, 331/64, 1627/288, -21/16, -7/4, 0, -6, -15/2, 
  -107/24, -2627/288, 23/8, 9/2, 331/72, 0, 431/288, 13/3, 91/48, -227/144, 
  -349/72, 1/4, -7/8, 0, -1/16, -187/32, -517/144, -3445/288, 5/16, 13/48, 
  2347/576, 6911/576, -25/36, -149/36, 841/288, 7/6, 1799/288, 109/144, 
  143/18, -733/288, -93/16, -137/36, -239/24, -6, 3097/288, 0, 1/8, 11/8, 0, 
  0, -1/8, -5/8, 0, 0, 0, 0, -1/8, -1/8, 3, 0, 211/144, 1483/288, 0, -7/4, 0, 
  5/8, -20/3, -15/2, -211/72, -2159/288, 23/8, -11/12, 9/2, 349/72, 0, -1/4, 
  -203/36, 13/3, 0, 181/72, -31/18, 0, -3/4, -71/24, -17/36, -195/32, 
  289/144, -3193/288, -21/16, 677/144, 1819/576, 6479/576, 7/18, 1/8, 167/36, 
  7/6, -1/4, 325/144, 0, 1055/288, 35/288, -99/16, -253/72, -3/8, -6, 0, 
  3133/288, 0, 0, -1/8, 1/16, 1/16, -9/8, 0, -1/4, -23/16, 7/2, 0, -25/8, 
  -3/2, -3/2, -5/24, 1/4, 1/4, -7/4, 13/16, 23/16, 1/24, -1/4, 5/8, 1, 1/8, 
  9/8, -21/16, -19/8, 0, -5/8, 1/2, -19/8, -35/8, 0, -13/4, -5, 0, 0, 0, 
  -1/8, -5/24, -3/4, 3/16, 7/12, 1/2, 1/6, -1/16, 1/2, -5/8, 5/8, -1/4, 13/8, 
  1/4, 3/4, -9/4, -3/16, 3/2, -5/8, -3/4, -31/8, 5/4, 0, -13/4, -1/4, 0, 1/2, 
  15/8, -15/4, 3/16, -7/2, -9/4, 51/16, 25/6, 7/12, 5/4, 3/16, 11/8, 91/48, 
  13/4, 13/8, -65/24, 1/16, -9/4, -1, 5/12, 0, 0, 0, 0, 1/8, 0, 5/16, -1/16, 
  -13/24, 1/8, -19/48, 5/12, 2/3, 13/16, -5/4, 5/16, 0, -121/24, 311/48, 
  -25/8, 323/48, -83/16, -5/2, -1/16, 9/16, 0, -9/16, 5/2, 5/8, 3/8, -3/8, 
  5/24, 0, 31/96, 17/32, 0, 7/24, 1/32, 0, -1/32, -3/16, 1/8, 1/8, 9/16, 
  -71/48, 1/8, -5/8, 1/16, -1/3, 5/48, -5/12, -5/24, 5/24, -5/24, -221/96, 
  -81/16, 0, -13/3, -107/16, 5/16, -1/16, 0, -433/96, 51/32, -11/24, 131/16, 
  45/16, 87/32, 7/24, 1/8, -9/16, 37/32, 1, 55/32, 0, -1/8, 45/32, -53/16, 0, 
  -11/16, 21/32, 11/16, 0, 53/96, -17/32, -31/96, -7/12, 17/32, 17/48, 1/32, 
  -1/32, -15/16, 25/96, 3/8, 211/96, -41/48, 3/8, -19/16, 0, 59/48, 3/16, 
  1/8, -7/24, -1/8, 5/24, 3/8, 13/16, -49/48, -47/32, -81/16, -13/8, -11/6, 
  -117/16, 11/16, 1/16, -113/24, -59/32, 129/32, 301/48, 147/16, -7/16, 
  293/48, 311/96, -229/48, -53/24, -13/16, -37/16, 45/32, 15/8, 63/32, 13/16, 
  107/32, -9/8, 0, -5/16, 21/32, 5/16, 0, -1/16, -9/32, 0, 1/32, 9/32, 1/32, 
  1/32, -1/32, -1/2, 37/96, 3/8, 75/32, -59/48, 0, -19/16, 0, 59/48, 3/16, 
  -1/8, -5/12, -1/8, 5/24, 3/8, 0, 9/8, 155/48, -81/16, 0, 163/96, -145/16, 
  0, -3/16, -1/16, -215/96, 129/32, 5/8, 135/16, -1, 139/48, 275/96, -71/16, 
  -53/24, 1/4, -107/48, 45/32, -5/16, 19/32, -35/48, 75/32, -23/16, -7/12, 
  -7/8, 29/32, 11/16, -229/64, 1225/192, -39/32, -307/96, 109/32, 2, 261/64, 
  -1021/192, 507/64, 175/96, -201/32, -2, -67/16, -135/16, 23/8, 111/64, 0, 
  7/16, -143/64, 537/128, -7, -43/384, 39/64, -1/4, -263/96, -13/192, 
  -379/192, -297/64, -1/3, -28/3, 149/96, 7/12, -3/16, 83/192, -469/64, 9/16, 
  -15/64, 45/16, -1265/192, 157/32, -21/8, -31/32, -231/64, 231/64, 31/32, 0, 
  -5/8, -125/32, 537/128, 0, 259/64, -863/128, 0, -3/8, 3/16, -9/16, -13/192, 
  -43/48, -1019/192, -9/64, -43/24, -28/3, 293/48, 7/12, 7/8, 197/64, 
  -677/128, -27/8, -1255/384, 477/128, 329/96, -1051/192, 131/64, -689/96, 
  51/32, -365/64, -39/64, -43/64, 111/128, 0, 0, 0, -11/8, 11/8, 0, 0, 0, 0, 
  0, -11/8, 0, 0, 0, 0, 1/8, 0, 0, 0, -13/8, -2, 73/32, 5/16, -9/32, 15/8, 
  -1/12, -179/96, -1/4, 5/4, -3, -9/8, 0, 3, -27/8, 23/16, 15/16, 17/8, 7/4, 
  3, -3, -7/4, 0, 0, 0, 0, 0, 0, -45/32, -9/4, 0, 131/32, 0, 21/16, -1/8, 
  -11/8, -1/8, 0, 0, 0, 0, 0, 45/32, 3/4, -131/32, 23/16, 0, 3/2, -1/4, -3/8, 
  0, 1/2, 7/8, 0, -1/4, -1/2, 0, 0, 0, 3/4, 7/8, 1/8, -33/32, -1, 7/96, 9/32, 
  -19/96, 1/8, -7/12, -1/2, -37/48, 35/96, 31/96, -13/24, 1/12, 15/16, 5/12, 
  1/4, 1, -1/2, -7/4, 1/4, 3/4, 0, -1, -17/8, 15/8, 1, 29/24, 9/8, 13/24, 
  -11/24, -5/8, 7/8, -1/4, 3/2, -9/8, -7/8, 1/4, 3/8, 0, -11/8, 11/96, -1/2, 
  0, 89/32, -59/96, -1/32, -151/96, 1/32, 0, -1/2, -1/2, -1/8, 7/8, -3/32, 
  -3, -71/48, 121/32, -1/8, 1/12, -1/24, 2/3, 63/16, 5/12, 5/24, -1/4, -1, 
  3/4, 9/8, -11/24, 5/8, -7/8, 0, 0, 0, 0, 0, -4/3, -5/96, 0, 157/96, 5/96, 
  1/32, -5/96, -1/32, -3/4, 0, 0, 5/4, 347/96, 5/32, 349/96, 61/96, -113/48, 
  25/12, 0, -13/48, 31/32, -197/96, -4/3, -35/48, 1/4, 1/8, 13/16, 11/24, 
  -3/4, 3/4, 29/16, 3/8, 0, 1/8, -9/16, -13/16, -65/48, -1/16, -1/4, 7/12, 
  7/16, 15/16, -23/24, -1/8, -29/16, 9/16, -1/2, -1/4, 2, 29/16, -13/16, 
  -15/8, 3/4, -3/4, 0, 0, 0, 0, 0, 0, 17/12, 1/32, 0, 47/32, 0, 3/4, 0, 
  17/32, -47/32, -9/16, 0, 1/4, 3/8, 0, -1/4, -1/2, 0, 0, -1/4, -7/8, -9/16, 
  -25/24, -61/32, -13/96, -1/4, 25/48, 79/24, 19/24, -1/4, -1, 1/4, 3/4, 0, 
  9/8, 23/16, 33/16, -5/6, 5/8, -1/4, -7/8, 1/4, 3/8, 0, -1/2, -7/8, 0, 1/4, 
  1/2, 0, 0, 0, 0, -1/2, -1/2, 0, 1/4, 63/32, 5/4, 0, -5/96, -5/4, 0, 1/8, 0, 
  -1/8, 1/12, -1/8, -133/48, -10/3, -1, -143/192, 7/16, 5/12, 7/24, 53/24, 
  49/24, 5/12, -1/4, -1, 0, 1/2, 7/4, -1/4, -3/4, 0, 3/4, 9/8, 3/16, -17/16, 
  -1/4, 27/16, -1/8, -11/24, -125/96, 475/192, -67/768, 167/192, 5/8, -7/8, 
  1/4, -7/8, 143/384, 9/16, -17/16, -229/768, 0, 0, 0, 5/96, 0, 3/32, -5/96, 
  -1/32, -3/32, 1/32, -1/8, 1/2, 3/8, 0, 7/8, 1/12, -5/16, 5/12, -5/24, 1/8, 
  3/16, 0, 0, 0, 0, -1/4, -1/4, 1/16, 1/16, 1/32, -1/16, 1/24, -5/24, -7/48, 
  5/24, -1/8, -1/2, 0, 5/32, 0, 3/8, 9/16, -1/6, 9/32, -11/48, 7/48, 5/16, 
  7/16, 0, -7/16, -5/16, 0, 0, 1/2, 0, 0, -77/144, -11/16, -3/4, 0, 0, 1/16, 
  0, -1/16, 1/8, 3/2, 7/2, 0, 83/72, 2365/576, 3/8, 0, -121/96, -1/16, 0, 0, 
  -25/24, -7/3, 1/8, -247/144, 3/8, 1/8, 1/6, 1/16, 11/12, -5/12, -1/4, 
  -7/24, 0, -1/4, -275/144, 151/96, 0, 167/144, -125/72, -3/2, 0, -9/32, 1/4, 
  0, 0, -1/8, 97/48, 0, -1/4, -1/16, -1823/192, -13/32, 3/8, -7/16, 1/32, 
  5/12, 151/144, 13/24, -1/16, -1/6, 9/8, 1/8, 19/24, -1/2, -5/12, 1/4, 
  221/144, 49/48, -1/2, 149/144, -1/4, 5/32, 1/4, 0, -11/16, -415/288, 17/32, 
  7/16, -57/32, 5/8, 9/16, -14/9, 5/12, -1/8, -1/8, -91/32, -5/32, -1/2, 0, 
  -1/8, -9/32, 17/32, 1/4, 0, 0, -1/16, 1/8, 13/32, -5/32, -5/24, -39/32, 
  -37/96, 65/96, 15/16, 1/3, -5/32, 0, -9/16, 1/8, 0, 15/16, -1/2, 1/2, -1/8, 
  11/16, 1/12, 13/32, -61/24, -1/8, 0, 11/8, 0, -31/48, -29/16, -7/16, 
  -41/12, -21/32, -3/4, 0, -11/12, -7/4, -3/4, 1/2, 9/32, 1/4, 9/16, 1, 5/16, 
  -13/48, -29/24, -93/32, -13/24, 11/24, 1/16, -1/32, -29/8, -15/8, -9/16, 
  -23/24, -115/32, 27/32, 11/6, 59/8, -13/32, -1/4, 229/24, 23/24, 1, 4/3, 
  -17/48, -461/96, -71/12, 1/3, -17/24, -73/12, 13/32, -15/32, -23/16, -3/16, 
  7/96, 31/24, 97/48, 7/6, 0, -33/32, 15/8, 65/48, 43/96, -29/24, -41/16, 
  121/48, -19/16, -11/6, -127/24, 7/32, 5/8, -25/12, -23/24, 0, -53/32, 
  -43/48, 87/16, 11/4, 5/24, -5/8, 0, 0, 1/32, 0, 11/96, 1/32, 0, -17/96, 
  -1/16, 0, 1/16, 1/16, -1/4, 1/4, 0, -25/48, 0, 0, 13/32, 1/4, 0, -3/32, 
  -5/24, 5/24, 1/16, 1/4, 1/24, 1/16, 1/12, 1/32, -5/24, 5/24, -7/48, 9/16, 
  -91/96, -57/16, 0, -91/96, -29/8, 1/4, 0, 3/8, -3/8, 0, 0, 0, -157/48, 
  61/96, 1/4, -1/16, 149/32, 35/32, 1/32, 15/32, -1/32, 1/8, 79/48, -7/24, 
  -1/48, 1/6, 21/32, -13/24, -1/8, 17/48, 5/12, -1/4, 13/24, 37/32, 3/16, 
  -1/16, -1/8, -5/32, 0, 0, 49/48, -2/3, -17/32, 5/8, 91/32, -7/8, -19/16, 
  13/24, -19/24, 5/12, -3/4, 17/32, 5/32, 1/4, 0, 13/8, 1/32, -9/32, -7/8, 0, 
  1/8, -1/4, 5/128, 0, 3/64, -99/128, 261/128, 0, 7/16, -1633/384, 0, 39/64, 
  -1/16, -3/16, -35/64, -1/16, -181/64, 1085/384, 11/64, -1903/384, 41/64, 
  7/48, -89/48, 7/24, 203/192, -559/192, 5/24, -27/16, 1/8, 29/64, 131/128, 
  -15/32, -413/128, -67/32, 231/128, -413/128, 0, -1/32, -227/192, -261/128, 
  -71/32, 1549/384, -471/128, -167/96, -223/192, 739/192, 27/16, -9/32, 
  -129/32, -83/32, 95/128, 0, 31/32, 67/32, 125/32, -15/16, 111/128, 
  -111/128, 0, 1/8, 3/16, 0, -1/8, -1/4, 0, 0, 0, 0, -27/32, -1, -1/4, 0, 
  25/16, 17/16, 0, -13/16, 0, 1/16, 7/32, 7/24, 25/32, -71/96, -17/32, -7/48, 
  3/8, -13/32, -5/24, 0, -1/8, -1/2, 0, 1/8, 3/8, 0, 0, 19/32, 3/8, -15/32, 
  -41/32, -3/4, 1, -17/32, -5/12, 209/96, -5/48, 5/16, 0, -1/8, 7/8, 23/32, 
  -13/32, -5/8, 1/8, 3/16, 0, -1/4, -7/16, 0, 1/8, 1/4, 0, 0, 0, -1/4, -1/4, 
  1/16, 9/16, 1/4, 0, 133/96, -11/32, 0, 1/48, -1/16, 1/24, 0, 11/12, -1/6, 
  -1/16, -55/96, -1/48, 5/24, -1/16, -1/6, 13/24, 5/24, 1/8, -1/8, 0, 3/8, 0, 
  -1/8, -3/8, 0, 0, -3/8, -5/16, -3/8, -41/32, -3/32, 1/3, -9/8, 0, -1/8, 
  17/48, 1/2, 47/48, 73/96, 21/16, 13/24, -1/12, -7/12, -5/12, -1/4, -11/16, 
  1/4, 5/16, 0, 1/8, 1, 27/16, 25/16, -9/32, 11/32, -29/24, -9/8, -31/16, 
  11/24, 5/8, -1/4, -3/2, 1/4, 7/8, 0, 0, -25/24, 53/32, 3/8, 0, 0, 0, 2/3, 
  0, 59/48, 0, -59/48, 0, 0, 23/48, 59/96, 0, -59/48, 59/32, 13/96, 0, 0, 0, 
  0, 0, 0, 0, -59/96, -2/3, 0, -37/192, 0, 37/192, 0, -41/48, 13/12, 295/192, 
  11/16, 13/96, 57/32, 59/64, -13/96, 0, 0, 0, 0, 0, 0, -13/24, 0, -3/4, 0, 
  0, 0, 19/96, 0, 59/16, 313/24, -59/16, -313/24, 17/24, -17/24, -2/3, 1/2, 
  -1/24, 1/8, 51/32, -221/96, -15/8, 0, 0, 0, 0, 0, 1/2, 0, 3/8, 0, 0, 0, 0, 
  -1/2, 1, -1/2, 7/12, -19/24, -1/4, -77/96, 1/32, 9/4, 57/32, 0, 0, 0, 0, 0, 
  0, 0, 0, 5/24, 1/6, 115/96, -1/3, 0, 0, 0, 0, -5/48, -29/48, -1/96, 
  -79/384, -15/2, -1, -6, 5/2, 2, 37/4, 49/4, 7, 1, -9/4, -41/4, -1/4, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, -1/2, -17/12, 0, -4/3, -5/12, 1/4, -1/4, -1, 47/24, 
  47/24, 1, 0, 17/24, 0, 5/24, 0, -1/2, -1/4, 0, -29/24, -1/6, -1/4, 35/24, 
  0, -1/2, 7/4, 0, 1/2, 0, 7/8, 15/4, -1/4, -21/4, 5/24, -23/12, -11/32, 0, 
  0, 0, 0, 0, 9/4, -9/8, -1/2, 17/12, -1, 7/3, 17/12, 3/4, 5/4, -1, -23/24, 
  25/24, 1, 0, 0, 17/24, 0, 5/24, 0, 0, -1/2, 0, -21/8, -5/24, 0, 23/12, 
  209/72, -209/72, 55/12, 0, 131/144, 0, 433/48, 175/24, -131/144, -175/24, 
  -259/144, -1, -3991/144, -29/32, 277/96, -71/16, 29/32, 361/144, 71/16, 
  -1553/288, 0, -1, -457/72, -22/9, 35/18, 61/18, -17/18, 1361/108, 
  -1117/216, -2101/108, -871/108, 73/9, 0, -277/72, -151/36, 0, -1/2, 0, 
  -139/72, -11/18, 1/2, 191/36, -161/18, -1273/216, 34/9, -739/108, -199/27, 
  0, 0, 0, -973/288, 47/12, -139/16, -95/36, -649/144, -70/9, 695/144, 
  649/144, 139/36, -13/24, -87/8, 1/2, -199/36, 181/36, 223/72, 0, -767/144, 
  -259/72, 329/72, 143/36, -3/2, -1079/54, -2569/108, -613/72, -22/9, 
  2569/108, 71/18, -223/24, -3/2, 73/9, 223/24, 0, 35/6, -3/2, 0, -1069/54, 
  0, -35/6, 5/18, 1069/54, 11/9, -35/6, 3, -145/27, -193/36, -3/2, -1, -2, 
  1/2, 0, 0, 0, 7/4, 11/8, 3, -23/4, 0, 1/2, 1, 1/4, -269/144, -269/144, 
  197/72, 197/144, -197/144, -197/72, 15/4, -649/144, 0, 0, 91/9, 0, -269/36, 
  0, 0, 685/144, -3/32, 133/432, -15/4, 0, -35/32, 71/96, -199/48, 35/32, 
  103/16, 199/48, -689/96, 11/12, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 7/16, 11/6, 
  -1/6, -11/3, -7/6, 4/3, 3/4, 0, 0, 0, 0, 0, 0, 0, 0, -59/16, -1061/96, 
  -191/96, 75/16, 7/3, -89/96, 71/4, 11/48, 0, -223/144, -905/288, 29/24, 
  -29/24, -15/8, -71/24, 7/24, 1/12, 7/24, -1/24, 29/24, 15/4, 1/12, -15/8, 
  -4/3, 3/4, 0, 35/32, 0, -71/96, 277/48, 191/96, -677/192, 0, 0, 0, 0, 
  -11/6, 3/16, -3/16, -11/12, 11/6, -53/24, 3/16, 97/48, 0, 0, 0, 0, 0, 1, 0, 
  0, -1/4, 0, 0, 0, -1, 0, 0, 1/4, 0, 0, 0, 0, 59/192, -1/3, -59/64, 1, 0, 0, 
  0, 203/192, 0, -203/192, 0, 53/48, -187/96, -343/192, -15/16, -59/32, 
  59/64, 91/32, 0, 95/192, 0, -95/192, 0, 1/6, -49/96, -3/64, -1/8, -95/192, 
  0, 413/192, 0, 0, -13/192, 53/96, 13/192, -53/96, -1/24, 9/16, -385/192, 
  -5/8, 29/192, -7/16, 79/192, -13/192, 0, 13/192, 0, 5/24, 9/16, 119/192, 
  -3/8, 13/192, 0, -167/192, 0, 0, 0, 0, 59/32, 0, -59/32, 0, 0, -17/24, 0, 
  17/24, 0, 13/16, 43/96, -103/96, -5/16, -53/64, -105/32, 1/192, 23/64, 
  105/32, 0, 0, 0, 0, 0, 0, 43/96, 0, -1/4, 0, -59/32, 0, 25/32, 59/32, 
  -53/96, 53/96, 53/96, 0, 0, 0, -223/192, 0, 3/4, -3/4, -3/4, 3/4, 3/4, 0, 
  -3/4, 3/4, 3/4, -3/4, -3/4, 0, 7445/6912, -289/768, 0, -97/192, 0, 97/192, 
  0, -13/12, 707/384, 809/384, 5/6, 121/192, 285/128, 59/384, -73/192, -1/3, 
  -3/2, 5/2, -1, 83/384, 131/384, 25/48, -79/12, 89/384, 2231/384, 179/192, 
  -727/192, 0, -103/64, -305/128, -1717/768, -545/768, -23/16, 3/16, -1/2, 
  1319/96, -2233/192, 4555/256, -1975/768, -6749/768, 2089/768, -9/4, 
  -13/192, 9/2, 13/192, -9/4, 11/48, 13/24, 29/64, 11/16, -269/48, -13/96, 
  363/64, 43/48, 0, -617/288, -5/4, 1523/288, 75/32, -373/96, 25/24, 77/48, 
  -5893/576, -43/32, 411/64, -77/48, -487/192, 0, 911/288, -1/2, -7/8, 
  -85/24, 21/4, -5/16, 215/64, 3/4, 0, 3/4, 0, -3/2, 0, 3/4, -5/12, 1, 29/24, 
  1/2, 73/48, -1, -233/96, -557/96, 11/16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1/4, 0, 1/4, -3/4, 0, 3/4, 0, 
  -19/96, -13/96, 45/64, -779/768, 5/16, 2, 3/2, -2, -29/16, 9/32, -13/32, 
  -19/32, -295/128, 1883/384, 95/128, 1/2, -2, -1, -2, -3/2, 9/4, 1, 23/4, 
  -1/4, 2, 35/4, 35/4, -55/4, -35/4, -1/8, 5/12, -1/4, 1/4, 21/8, 5/6, 1, 
  -1/2, 1/2, 0, -1/8, -13/2, 13/2, 0, 6, 1/4, 0, -1/2, 3, -1/4, -9/4, -7/2, 
  -9/4, 1/2, -1/2, -3/2, 15/4, 3, -3/2, 0, 15/2, 1, 6, -5/2, -2, 0, -37/4, 
  -49/4, 0, 1/2, -5/4, 29/4, 37/4, -2, -19/2, -1, -4, 23/4, 13/4, 4, 19/2, 4, 
  -2, 6, -5/4, -7/2, -12, -3/4, 0, 2, 1, 0, -1, 0, -4, -5/2, 8, 10, -10, 
  11/2, 14, -1, -17, 2, 19/2, 1, 4, -23/4, -13/4, -4, -19/2, -4, 2, -29/2, 
  -1/4, 8, 14, -37/4, -2, -1, 1, 0, 4, 2, -17/2, -10, 5/2, -37/4, -43/4, 
  15/2, 41/4, 0, 3/2, 0, 3/4, -3/2, -3/4, 0, -1, -1/4, 0, 33/4, 15/4, -17/4, 
  -13/4, 17/2, -3/8, 1/4, 5/4, -7/8, -15/8, 3/8, -11/8, -15/8, -3/8, -13/4, 
  17/6, 1/2, 4/3, -1/4, 4/3, -37/24, -13/12, -1/4, -1/2, 1/4, 3/2, -35/8, 
  5/6, -3/2, 1/2, -1/2, 11/4, -1/2, -1/2, 1, 1/2, 5/3, 1/2, 1/2, -1/2, 0, 
  -7/4, -29/24, 0, 25/12, -11/24, 1, -3/2, 0, -1, -5/24, 5/12, -3/4, 13/8, 
  -23/24, 3/4, -11/24, -53/24, 35/24, -1/4, 1/4, -7/6, 5/24, -11/24, 11/12, 
  11/24, -29/24, 1/4, 11/12, 3/2, 17/12, 5/12, -17/6, -11/12, 11/12, 11/24, 
  -29/24, 1/4, 11/12, 3/2, 17/12, 5/12, -17/6, -11/12, 0, -1/2, 7/4, 5/8, 0, 
  9/8, 7/8, 15/4, 9/8, -21/4, -5/2, -11/12, -79/24, 0, -13/8, -9/8, -5/8, 
  9/8, 0, 1/2, -9/8, 0, 7/4, 9/8, -11/12, 61/24, 5/8, 11/32, -11/12, 11/4, 
  9/8, -71/24, -103/96, 11/12, 0, -1/4, 0, 0, 1/4, 0, 1/8, 1/8, -1/4, 5/2, 
  -7/24, -11/6, 1/4, 79/24, 15/8, 0, 1/24, 1/8, -17/8, -1/24, 1/4, 13/4, 
  -151/24, 73/24, 5/6, -7/8, 1/4, -1/2, 13/2, -3/2, -6, 0, -6, 1/4, -1/2, 
  1/2, -1/6, 1, -1/2, 1/2, 1/2, 0, 17/8, -3/4, 11/4, 11/8, 0, 0, -2, -25/4, 
  3/8, 7/4, 19/8, 61/24, 0, 0, -61/24, 0, 487/192, 487/192, -487/192, -3/2, 
  -410/9, -1769/36, -3/2, -317/72, 1/2, 1733/36, 317/72, 1, 3/2, 35/3, 
  -55/12, -3/2, 0, -35/72, -1273/384, 3703/3456, -99/16, -2411/192, 229/12, 
  -35/8, 1537/72, -7/18, 9, -5627/216, 343/72, 7/9, 5627/216, -7/18, -631/18, 
  253/9, 1444/27, -2, -1517/36, 46/3, 119/64, 427/48, -29/4, 13/18, 253/54, 
  497/72, 839/144, -109/16, 181/36, -15/8, 109/16, -181/36, -1135/36, 469/24, 
  197/8, 203/256, -9/2, 27/4, 11, -47/6, 203/128, 9/4, 5/2, 779/256, 61/6, 0, 
  121/4, 1327/36, 0, 0, -1327/36, -4/3, -61/6, 0, -119/18, 61/6, 19/24, 
  779/512, -229/96, 0, 127/144, 169/12, 469/576, -53/9, 0, 24199/2304, 
  99373/4608, -57745/4608, -3125/768, -1255/1152, 55/12, -1147/1152, -3/2, 
  9025/288, 9457/288, -3/2, -317/72, 0, 1/2, -9745/288, 769/2304, 457/1152, 
  89/384, 1331/128, 1273/384, -7945/3456, 10987/4608, 5929/384, -27433/4608, 
  -9665/576, 5759/4608, 0, -108683/4608, 487/192, 3/2, -383/24, -419/24, 3/2, 
  263/36, 0, -1/2, 443/24, -263/36, -107/72, -3/2, -35/3, 749/128, 8887/3456, 
  -31/16, 6389/144, 1551/16, 2, 388/9, 371/48, -4255/48, -388/9, -73/8, 
  -3799/144, -6643/72, -4207/144, 5659/144, 61/12, -35/16, -5543/144, 1/2, 
  3/2, 361/9, -2, 515/48, 217/24, -767/18, -83/8, -3619/144, -5479/48, 
  -3631/144, 5767/144, 13/3, -3/2, 103/144, -73/64, 9/8, 9/16, 4/3, 
  -14747/432, 49/72, 31/9, -259/108, 147/32, 277/192, 2141/192, 0, -75/4, 
  313/64, -185/8, 53/18, 563/27, -7/72, 35/4, 147/32, -2123/288, 47/96, 
  493/192, 50/3, 2141/192, -27/32, -75/4, 1763/96, 155/32, -6391/288, 
  1091/288, 29981/1728, 43/8, -115/6, -59/18, -265/54, 2279/216, -347/72, 
  23/6, -2279/216, -5/9, 2771/54, -2167/216, -7877/108, -2329/108, 787/12, 
  39/8, -127/6, -241/576, -2, 2435/216, -203/72, 491/48, -2435/216, -197/36, 
  175/12, -2695/216, -3013/108, -1879/108, 490/27, 3/4, -763/36, -239/36, 
  39/8, 2, -3/8, -1277/72, 25/9, -17/8, 157/36, -280/27, -709/108, -3293/216, 
  -2815/216, 37/54, 0, 0, 181/18, 181/144, -181/18, -295/288, 106/3, 0, -5/8, 
  0, 995/144, 0, -905/144, 0, -1115/288, 0, 601/72, 1295/288, 35/12, 
  11807/144, 8377/72, -1363/144, 1465/48, -521/36, -9209/72, -1465/48, 104/9, 
  -4063/72, -9845/144, 2983/72, -71/2, -83/24, -4619/72, -181/18, 3895/72, 
  181/18, 83/24, 1201/8, -6439/72, -3095/36, 0, 51/8, -131/16, 0, -1/4, 0, 
  -631/72, 79/144, 3/8, 71/9, 649/144, 27437/144, -9/4, -1035/8, -24461/144, 
  203/512, -61/24, -9/4, -121/16, -1327/144, 27/8, 11/2, 1327/144, -13/4, 
  2561/768, 9/8, 119/72, -31/24, 779/512, -1739/512, -703/72, 1003/256, 
  703/72, 821/512, 1259/256, 703/72, -267/512, -6001/1536, 0, -15017/1536, 
  -6211/4608, -151/4, 24937/1536, 26263/2304, -68707/4608, 15017/1536, 
  98009/4608, -151/4, -6799/2304, -97081/4608, 35/8, 17/12, -17/3, -5479/108, 
  -1678/27, -55/8, 19/6, 1678/27, 37/8, 19/8, 0, 265/18, -437/512, -229/96, 
  0, -125/24, -521/144, -151/4, -12649/216, 35/3, 6133/576, 12649/216, 
  -107/9, 125/24, 44935/2304, 307/54, -4499/4608, -78481/4608, 151/24, 
  119/12, -4, -272/9, -1559/36, 9/4, -275/24, -8/3, 410/9, 20/3, -65/24, 
  -1/6, -7/108, -353/72, -2, -2, -5, 4, 2, 1/2, 1, 1, -15/4, -25/4, -4, 11, 
  -1/2, -47/6, -91/16, -2, 43/16, 3/4, -5/2, 0, 21/4, 649/144, 1039/288, 
  -739/72, 0, 0, 2431/288, 0, -2065/144, -181/12, 1115/288, 2299/72, 
  108653/864, -3047/288, 269/48, -13657/216, 11/2, -5, 87/4, 825/32, 269/144, 
  -259/8, -825/32, 85/8, -493/8, -11513/288, 563/16, 169/4, 17/16, 197/144, 
  -131/8, 77/16, 7/2, 5, -385/32, 1033/288, -373/8, -343/16, 9, -153/8, 
  -8821/288, 463/16, 47/4, 95/16, -1793/144, -17/4, -255/16, -19/2, 3/8, 
  -3/16, -21/32, 25/2, -31/16, -317/8, 135/64, -1/4, 99/8, -1105/288, 105/4, 
  77/8, -5, 1/2, 1267/144, -117/8, 2, -37/4, 929/288, 3/2, 129/8, 45/8, -1/2, 
  -99/8, 961/288, -99/4, -35/4, 67/16, 7/4, -2201/288, -9/8, 7/16, 37/4, 
  -929/288, -7/4, 99/4, -503/64, 1/2, -5/4, 1/4, 21/2, -1/2, 1, -33/8, 
  3551/216, 0, 1, 5/4, 9/8, -1/8, 1337/864, 2219/288, -971/432, -7/4, 1/4, 
  -2723/432, -1/2, -4667/864, -3329/288, 7405/432, 2723/432, -3217/216, 1, 
  7/8, -1/8, 1931/864, 2399/288, -3049/864, -7/4, 1/4, -3317/432, -1/2, 
  -5153/864, -3725/288, 931/36, 3317/432, -21023/864, -1/4, -5/8, 0, -1/4, 
  -2075/864, -19/16, -21/4, -2, -9/16, 2, 37/16, -1697/864, -1033/432, 25/16, 
  557/216, 1/4, -5/8, 15/4, 5/16, 2183/864, 33/32, 13/2, 4, 9/16, -15/2, -1, 
  8573/864, 1255/108, 39/16, -10931/864, -1, 1/4, 7/4, 21/16, -5/8, 17/32, 
  11/8, 3, 5/8, -23/4, -9/16, -25/8, -14/3, 7/8, 733/96, 0, 0, 0, -1079/144, 
  2053/288, 1043/72, -34/9, 13/72, 1/2, 0, -1273/48, -2341/288, 0, 3455/144, 
  0, 1043/144, 1217/144, -1115/288, -505/144, 1273/48, 54167/288, -989/48, 
  -1237/144, -25913/144, 0, 51/8, 0, 0, -485/144, 0, 35/48, 0, 25/18, 0, 
  -797/48, -577/72, 0, -773/72, -1069/288, 467/48, -487/144, -1079/144, 
  81/16, -299/96, 1223/72, 737/72, 53629/864, -33/4, -775/144, -24995/432, 0, 
  2239/144, 3701/288, 0, -751/48, 0, 1097/144, -211/16, -49/96, -1097/72, 
  -2311/144, -14395/108, 4289/144, 1765/144, 103193/864, 0, -77/16, -667/144, 
  0, -21/32, 0, 511/72, 563/48, -121/36, -263/24, 97/16, -23561/432, 
  -3371/288, -863/48, -751/288, -19/8, 0, -59/8, -21/2, 19/8, 21/2, -15/8, 
  -25/8, 5/2, 25/4, 37/32, 3247/144, 0, 2345/216, -2905/144, -2345/216, 
  -15/4, -5045/216, -5795/432, 5/4, 25/8, -5155/432, -33/8, -13/16, 
  -1753/432, -607/54, 1/4, -1015/144, 61/54, 1753/216, 209/27, 1519/144, 
  21/4, 1861/432, 889/432, 2507/216, 4183/216, 3967/432, 1645/216, 6551/432, 
  -29/216, -85/432, -5537/432, -2525/288, -1321/72, 55/36, -283/48, -105/4, 
  71/4, 183/8, -1289/32, -1399/18, -2213/108, -1483/216, -2399/216, 91/8, 
  -671/432, 4291/216, 2327/288, 431/54, -1001/108, 97/72, 22, -9205/432, 
  -10771/432, 24127/864, 12281/216, 5155/432, 119701/9216, -23/12, 25/6, 
  -9/4, 16/3, 5/4, 26/3, 79/12, -7/4, -2, 13/4, 717/256, 5619/1024, 0, 0, 0, 
  3/4, 22/3, -5/4, -22/3, 1/2, -31/6, -209/48, 71/12, 7/3, -35/12, 11/3, 
  19/6, 1/4, -7/12, 0, 0, 0, 0, 653/768, 6023/3072, 0, -35/48, -3/4, -3/4, 
  -133/72, 25/12, -717/256, 61/288, -151/192, 385/192, 11/2, -5619/1024, 
  225/32, 119701/9216, -103/288, 1223/192, 205/32, -225/32, -1615/192, -3, 0, 
  -717/256, 7/4, -35/32, 191/96, 23/6, -5619/1024, -67/48, 119701/9216, 
  -41/4, 737/96, 913/48, 67/48, -2017/96, 7/12, 151/24, 1/2, -37/12, -239/24, 
  9/4, -23/12, 1/4, 185/24, -1/4, 23/8, 541/24, 7/4, -161/24, -13/4, 3/2, 
  169/24, -691/768, -79/24, -215/24, -23/8, -67/24, -3193/3072, 55/12, 5, 
  41/24, 313/16, 203/12, -73/12, -367/24, 29/72, 13/12, -11/288, 41/192, 
  1/192, 23/12, 81/32, 2921/288, -41/192, -617/96, -105/32, 411/64, 0, 0, 0, 
  0, 0, 0, 0, 0, 1/4, 11/3, -3/2, -47/24, 5/12, 35/6, 25/8, 0, 0, 0, 0, 0, 0, 
  0, 0, -35/12, 4/3, 3/4, 47/6, -1/2, 11/6, 31/24, -14/3, -11/12, 4, -55/12, 
  -41/6, -13/6, 23/12, 0, 3/4, 11/6, 0, -3/4, 0, -1/8, 1/6, 1/8, -2/3, -3/4, 
  -17/3, 3/4, 16/3, 19/4, 0, 0, 0, 0, 0, 1/2, 0, 3/4, -5/8, -17/12, -11/3, 
  -29/6, 53/12, 11/8, 0, 1409/256, -2, -10, 0, -42457/3072, -15/8, 829/48, 
  1/4, -51/8, 48473/3072, -1409/256, 57/8, -50009/3072, -5/4, -631/48, 
  -51289/3072, 869/48, 805/48, -77/72, -77/36, -1741/864, 377/288, 965/32, 0, 
  337/32, -813/64, 33/16, 773/64, -839/48, -493/96, 1225/192, 607/96, 91/16, 
  211/32, 611/384, 29/32, -277/384, 3499/192, 50/3, 959/192, -957/64, -19/24, 
  111/16, 211/32, 767/384, -41/8, 155/384, 199/48, 50/3, 325/96, -957/64, 
  683/96, 65/32, 39/8, -721/64, 157/8, 77/72, 77/36, 1741/864, 0, 0, 223/144, 
  905/288, -83/32, -145/36, -413/288, 649/288, 11/96, -77/36, 367/288, 
  -301/288, -121/72, 11/48, 0, -5/72, -27/32, 0, -131/96, 7/72, 1729/288, 
  5/9, -275/36, 19/36, 449/144, -629/288, -995/288, -85/288, -953/288, 
  -223/144, -4795/144, -29/24, -15/4, -65/24, -71/12, -11/12, 15/8, 3, 1/8, 
  37/12, 15/8, 11/12, 7/12, -3/2, 241/32, -3719/192, 103/24, 13/24, -13/3, 
  -11/12, -159/16, -29/12, 172/9, -3/2, 1519/192, -199/9, -487/48, 11/8, 
  -493/96, 85/24, 1225/192, 503/96, -19/24, -5/4, 35/32, 41/96, 77/48, -3/8, 
  -427/192, 277/48, 391/64, -677/192, -643/96, 21/32, -71/24, -213/64, 
  -173/24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11/12, -11/4, 11/6, -11/12, 
  11/2, 11/12, 0, 0, 0, 11/6, -11/12, -11/3, 0, 11/3, 0, 0, -11/3, 11/12, 
  -55/6, 11/3, 11/2, 0, 0, 0, 2531/144, -109/16, -407/48, -1/4, 29/96, 0, 0, 
  -7/6, 0, 3/8, 83/96, -1/8, 253/48, -605/96, 9877/384, -11351/384, -313/96, 
  9/32, -3131/96, -125/32, -65/96, 0, 163/192, 0, -35/64, 3/128, 0, 1487/384, 
  101/384, 0, 0, 0, 13433/2304, 317/64, -247/192, 0, 415/64, -551/96, 
  -3575/576, 0, 0, 0, 0, 0, 41/96, -3/32, -1/12, 0, -59/32, -37/512, 
  185/1536, 59/32, -259/384, -1/6, 0, -3/8, -5/4, 245/8, 5/4, 5/2, 3/4, 
  -401/12, -13/4, -1/6, -1153/72, -10513/576, 73/6, -353/24, 4687/576, 
  1343/24, 2047/72, 1063/24, 3, 302/9, 587/32, 4855/144, 75923/1152, 
  18685/384, -1783/96, -5723/288, 1153/72, -2449/288, -111/8, -9841/192, 
  -1913/48, -145/48, -340/9, 6925/1152, -43949/1728, 6037/288, 5137/192, 
  311/48, 115/24, -10307/384, -229/48, -7/8, 2365/128, 2099/192, -13/8, 
  -3601/192, -2099/192, 45/8, 107/384, -25/8, 269/32, -6275/128, -41/4, 
  359/192, 211/6, -4343/384, -423/64, 1115/32, -7357/768, -589/192, 
  -4167/256, -5/128, 0, 4255/384, 725/64, 683/256, 13661/384, 3623/384, 
  -17921/768, -4955/256, -1341/256, 0, -271/256, 4535/768, -25/8, 57/16, 
  -27/16, 2129/96, -95/12, -1547/96, 4859/256, -3769/768, 0, -88103/6912, 0, 
  11/16, 343/256, -27/16, 0, 9/4, 8603/384, 19/8, -133/16, -681/16, -19/8, 
  87/8, 7741/384, -77/16, -811/48, -19829/384, -31/16, 7129/192, 6739/128, 
  -1463/64, 2887/96, 1041/32, -25441/768, -3065/192, -13907/384, 849/128, 0, 
  4215/128, 1171/384, 29/48, 2055/32, 445/128, -24743/768, -20089/768, 
  -1055/192, 0, -41/64, 1503/256, 0, 0, -175/384, 29/48, 0, 73/32, -29/48, 0, 
  -701/384, 0, -33/16, -3495/128, -31/16, 77/16, 10753/384, -45/8, 1303/96, 
  1037/32, -13697/768, -3065/192, 1/16, -2075/384, 0, 3/16, 4195/384, -5/8, 
  1499/48, 2093/384, -24203/768, -7675/256, 253/192, 0, -43/64, 4973/768, 0, 
  -507/64, 2249/192, -223/48, -2725/192, 10355/576, 73/6, 117/64, 967/192, 
  -49/48, -1075/192, -8663/576, 115/12, 25031/6912, -1, 22549/1152, 289/192, 
  -47/96, 0, -3551/3456, -7/16, -7489/192, 61/16, 17/32, 39/32, -1/4, 0, 
  46913/10368, 0, 1931651/34560, -2696167/103680, -46913/10368, -225247/1440, 
  2722087/103680, 3482917/34560, -20749/1152, 46777/2304, -5/4, 408067/17280, 
  -117197/5184, 318067/51840, 26305/1152, -157/192, -87779/1728, -551/96, 
  13433/2304, -1775377/103680, -3329647/17280, -7903/1296, -7599853/103680, 
  81437/1728, 0, 3103837/34560, 7109519/103680, 0, 43367/6912, 34763/10368, 
  0, 0, -2160491/51840, -46103/10368, 0, 3773077/103680, 0, 11/16, 
  52957/2304, -5/4, -233597/4320, -161261/5184, 3578137/51840, 20125/1152, 
  -157/192, -72137/1728, -551/96, 1934531/34560, 81767/6912, 15161/2304, 
  -7338359/34560, -2925727/103680, -295/192, 37915/1152, 4463/1296, 
  -13242493/103680, 68783/1728, 1600151/34560, -3/2, -1/32, 6624059/103680, 
  3/4, 0, 0, 0, 0, 0, 0, 0, 0, 331/96, -197/32, 81/32, 0, 0, 0, 0, 0, 1/16, 
  1/16, 59/32, 0, 271/384, -59/32, 0, 0, 0, -143/32, 677/96, 0, 0, -189/16, 
  -27/4, 0, 21/4, 0, 7/2, -49/8, 0, -20/3, 49/8, 0, 19/6, 0, -25/12, -145/96, 
  53/16, 269/48, -89/32, -161/48, 245/32, 9/8, -129/64, -149/32, -157/32, 
  2425/96, 0, 811/96, -2791/96, -5, -2773/128, -205/12, 13649/384, 
  -22291/1536, -105/32, 11431/512, -779/128, 105/32, 0, 0, 0, 0, 0, 0, -7/4, 
  49/16, 0, 19/12, 0, 49/48, -1/8, -43/48, -81/32, 0, 0, 0, 0, 0, 27/16, 
  -2473/192, -79/48, 577/48, 0, -59/32, 0, 2909/384, 59/32, 7/32, -253/192, 
  0, 0, 253/192, -15/32, 53/192, 281/384, 0, 17/384, -671/192, 7/6, -291/128, 
  -2683/768, -65/32, 29/1536, 0, 0, 2851/1536, 271/384, 0, 539/256, 
  -1669/1536, -779/512, 779/512, 779/1536, 0, 0, 0, 0, -17/96, 35/96, 0, 
  -7/32, 199/384, -263/96, 385/192, -291/128, -295/384, -199/96, -611/1536, 
  0, 1943/4608, -685/1536, 779/1536, -1/8, 1/6, -1/16, 5/64, -3/64, 547/192, 
  -3/64, 5/12, 5/24, 1/64, 49/64, -1/16, 3/8, 4/3, -5/64, -395/48, 311/64, 
  5/24, -13/8, -41/64, -1/8, -19/12, -77/16, 1/8, 0, 0, 1/8, 0, -1/8, -1/8, 
  5/12, 1/8, -5/12, -3/32, -3/8, -3/32, 17/24, -1/6, 0, 3/16, 0, 7/48, 3/32, 
  1/32, 3/32, 9/16, -13/4, -71/48, 35/12, 0, -3/16, 3, 1/32, -3/16, -1/6, 0, 
  13, -59/4, 0, -12, -1/8, -13, 109/6, 0, 12, 1/8, -37/12, 0, 4, -55/8, 7/4, 
  0, -61/8, -55/8, 1/3, -287/24, -3, 0, 9/2, -33/8, 13/4, 23/8, 65/24, 3/4, 
  39/8, -31/8, 19/24, 0, 37/16, -65/12, 81/16, -25/64, 77/48, -25/4, -83/64, 
  1/8, 17/32, -967/48, -203/192, -1759/96, -281/64, -13/24, 631/32, 5/12, 
  5/12, 1/32, 177/32, -11269/192, -863/64, 91/192, 1849/192, 2/3, -185/96, 
  729/64, -27/32, 425/48, -193/48, -583/96, -425/48, 0, 1/4, -2/3, 1/4, 
  259/24, 19/4, 1/6, -5/6, -3/2, -3/2, 1/8, -1/2, -4/3, 3/4, -113/24, 
  -253/24, -5/12, 7/4, 2, -1/2, 25/12, 38/3, 1/2, 1/8, 0, -503/96, -19/8, 
  -17/64, 349/96, -2801/192, 11/48, -1127/64, -11/64, -7/24, -9/8, 31/24, 
  -1/64, -667/96, -1339/192, -13/24, 2, 1/6, 5/12, 5/32, 35/96, -3365/64, 
  -877/192, 2593/192, -143/192, 1/24, -139/96, 685/64, -19/32, 55/12, -69/32, 
  461/96, -29/6, 0, 0, 0, -473/96, -21/8, 0, 427/48, -2293/192, -1/3, -47/12, 
  1/3, 1/8, -15/8, 19/24, 385/64, -817/96, -481/192, -13/24, 29/12, -673/192, 
  5/12, 31/32, 11/8, -11651/192, -47/96, -5137/192, -1/6, -1331/192, 1/32, 
  973/192, 149/64, -111/16, 3239/192, 57/16, -23/6, -85/96, 975/512, 
  12115/6144, -1283/288, 49/512, -3155/6144, 1283/288, -13/8, 0, -1/8, 0, 
  1/8, 2/3, -2/3, -51047/9216, 217/96, -15/32, 0, -77567/9216, 19/128, 
  283/384, -19/8, -19367/9216, 41/24, -27/8, -1565/384, -1111/144, 
  15659/3072, 19915/1152, -27149/3072, -3785/1152, 629783/9216, 47597/1152, 
  -5219/1152, -77/64, -51047/9216, 217/96, -15/32, 0, 1/3, 51/32, -1/3, 
  -63/16, 1/3, 283/384, -19/8, -19367/9216, 43/16, 649/384, -27/8, -1565/384, 
  7/6, -535/144, -53567/4608, 1033/96, 175/96, 18763/1152, -24797/3072, 
  -3785/1152, 32639/9216, 520247/9216, 221849/4608, -95/18, -15179/3072, 0, 
  0, 0, 0, 0, 0, 0, 0, 1/8, -5/12, -1/8, 5/12, -9/8, -1/12, 0, 5/24, 1/3, 
  -1/8, -1/3, 21/32, -151/48, -19/96, 91/48, 1/8, 59/32, -1/4, 25/32, -3/4, 
  -63/32, 29/16, 221/48, 1787/96, -6625/768, -745/192, 131/48, -1613/96, 
  -12635/256, -20491/768, -14807/768, -49/48, 0, 0, 49/48, 0, 5/8, 1/16, 
  19/6, 1/16, 0, -149/48, 0, -73/16, -1/16, -103/48, -1/8, 25/12, 81/16, 
  1/16, -9/4, -31/16, -83/16, 217/32, -3439/192, -3557/192, 15/8, -101/96, 
  293/12, 463/96, 0, 1/24, -2039/96, 1/8, -9/8, -449/96, -37/32, 1027/96, 
  -17/8, -13/96, -1/24, 9/8, 67/32, 1/4, 13/2, 53/16, 13/2, -51/16, -11/2, 
  -6, -9/2, -15/4, -53/16, 1/2, 0, -1/12, -1/8, 17/4, 1/12, -1/2, 0, 0, 
  -23/16, 3/8, 13/4, -1, 4415/192, 91/48, 4595/192, -103/48, -5/8, -11/4, 
  -113/48, -9/2, 37/48, -5, 133/96, 33/16, 55/48, -91/96, -59/16, 27/16, 
  -9/16, -31/8, -5357/192, 3885/64, 415/48, -17/8, 157/48, -151/32, -79/24, 
  1/8, 17/24, 67/24, -17/32, -33/8, -7/8, 0, 37/24, 1465/64, -1/3, -5/3, 1/3, 
  -1/16, 19/48, -3/8, -21/16, 51/16, 0, -5/48, 3/2, -1/32, 17/32, 317/96, 
  35/16, -13/8, -1057/24, 17/8, 5/32, -293/48, -43/16, -1/24, 79/96, -29/8, 
  3973/192, 337/48, 37/16, 71/96, 1741/288, -719/48, 185/24, 629/64, 
  -34309/3456, 65659/9216, -212257/27648, -37607/18432, 325/128, 17189/6144, 
  731/96, 3203/1152, -239/16, -1/12, -20801/1152, -51/64, -2021/288, 
  -1648547/55296, 0, 0, 0, -6997/1152, -39841/4608, 967/144, 921/16, 
  370279/9216, 18431/576, -647/36, -1061/192, 3413/192, 43/3, -83857/4608, 
  -4717/144, -82429/432, -181175/1728, 4457/432, -751/36, 13847/576, 
  27949/432, 671/72, 12167/2304, 96467/1536, -2767/288, 103021/1024, 
  183779/2304, -841/96, 1201/48, -1361/4608, -5308607/27648, -135889/4608, 
  -258497/4608, 833/288, -3829/144, 233483/4608, -121/144, 497/72, -61/32, 
  1097/96, 0, 0, 70531/3456, -26551/864, 517/288, -3395/288, -1/4, 
  -214927/3456, -11335/432, 31/36, 12415/288, 165301/9216, -185501/9216, 
  -535/192, -551/128, -1/4, -898231/13824, -1501/3456, 519/128, 
  1298695/27648, -60883/9216, -89/384, -3/4, 197929/27648, -102797/4608, 
  -581/288, 2579689/82944, -9/32, 107/12, 0, 12109/768, 107683/3456, 
  1994615/82944, -1049/256, 71039/4608, -20903/384, 235/36, 82957/4608, 
  33461/9216, 1226153/27648, 7/4, -545/36, 52961/13824, -369631/27648, 
  655/72, 983/48, -12925/9216, 271/192, -74479/3456, -71/96, -1087/288, 
  -4565/288, -97613/4608, -53/288, -2345/1536, 2469097/82944, -25/32, 175/24, 
  0, -1525/288, 13087/288, 18935/256, 96643/3456, 1705463/82944, -857/256, 
  659/48, -206353/4608, -60181/1152, -173/24, 53/9, -108623/4608, 74701/4608, 
  24679/3072, 1162793/27648, 3/2, -13189/576, 473633/13824, -576095/27648, 
  60229/3456, 6941/9216, -68221/9216, 127/192, -35167/27648, 0, 70277/13824, 
  71183/4608, -99917/4608, 0, -4995397/248832, 1153129/82944, 0, 2605/768, 0, 
  325/96, -199477/13824, 19991/256, -181/108, 3890759/82944, 53/96, 39/16, 
  -225169/4608, -22757/384, -197/24, -415/288, -230695/13824, 105421/4608, 
  -1/6, 838237/27648, -1139/96, -1080767/13824, -610141/27648, 35437/864, 
  -3787/288, -54397/9216, 1/4, 626599/27648, -1/4, -7591/192, 149/128, 
  37751/1152, 151/64, -7/16, -549/64, 21343/576, 2215/192, -30025/576, 
  215/64, 539/192, -215/16, 413/96, 2195/96, 41/32, 906623/1536, -14359/192, 
  -301473/512, 83/16, 455/192, 37783/576, -505/32, -11940383/13824, 
  23729/288, 3576889/2304, -10327/144, -4461545/4608, -18791/9216, 25559/576, 
  55/128, 109049/36864, 5708221/27648, -3185/72, -51955/128, -46229/1152, 
  -2053/192, 56029/2048, 62273/576, 51955/128, 239/48, -36793/576, 1/3, 
  -19057/4096, -22417/128, 19673/384, -30054725/110592, 25408799/27648, 
  155941/256, -410693/18432, -15437/144, -36334915/55296, 3709/64, 
  9401239/36864, -12680359/27648, -21102707/18432, 4707665/18432, 
  29418017/55296, 51047/9216, -11/4, -391/288, -123/64, 41839/9216, 
  29119/2304, -515/576, -8609/1536, -7589/768, -1/4, -7991/1024, -1817/192, 
  -2687/192, 18737/4608, 1367/64, 9161/768, 2897/1152, 169/8, -9235/576, 
  13/12, 745/1024, 91393/864, -1741/288, -67343351/110592, -949379/3072, 
  155921/256, 176209/18432, 3067/288, 2439845/6144, 12205/576, 
  244944317/331776, 14093663/27648, -21100115/18432, -10369369/27648, 
  29431841/55296, 0, 49/72, -2947/288, -123/64, 0, 24791/2304, -1649/576, 0, 
  -2751/256, 0, -19213/3072, -4357/192, -2687/192, -3097/1536, 1523/64, 
  6953/768, -1135/1152, 169/8, -11131/576, 13/12, -36265/9216, 294155/1728, 
  -721/72, -239467/12288, -3437689/9216, 8857/512, -103103/18432, 347/36, 
  945687/2048, 11953/576, -31182967/331776, 16426175/27648, 2534663/6144, 
  -12213001/27648, -23987467/55296, 0, 0, 0, 0, 0, 0, 227/72, -73/16, -1/8, 
  0, 0, 0, -467/48, 2971/216, 3163/1152, 63/16, -39535/576, 180371/8640, 0, 
  -3256367/86400, 0, -140881/28800, 0, 2917/1152, -4621/1152, 36197/4608, 
  -25217/7680, -1/3, -180371/8640, 2488817/86400, 70477/9600, 485/36, 
  -35959/1536, -2891/576, 457/18, -1/4, 0, -3265/864, -1790929/34560, 
  -1384789/23040, 0, 8401/1728, -210589/69120, 0, 9745/1728, 0, 3677/1152, 
  1397459/27648, 1657337/15360, -20053/3456, 360431/69120, -10285/1728, 
  -214471/23040, -481883/9216, -64121/34560, 13099/2560, -174571/8640, 
  3988429/34560, 280981/2560, 2058517/86400, -23849/576, 69277/9600, 
  -4327/144, 3/2, -2675/576, -1/2, 0, -4453/576, -1384789/23040, 0, 7213/576, 
  0, 2653/384, 1622777/15360, 0, -3031/128, 0, -1501/128, -448475/9216, 
  17245/1152, 21099/2560, 0, 7475/576, 1956329/11520, 0, -15833/576, 0, 
  6577/384, -3133013/34560, 2111/384, -788855/27648, -1511/288, -855743/7680, 
  29/4, 6748019/138240, 41/24, 0, -15017/1536, -6211/4608, -591/16, -17/8, 
  155/16, -21/4, 4063/192, 3413/192, 385/24, 96233/4608, -619/144, 
  342589/6912, -2129/96, -442/27, -2191/72, -2437/576, 955/216, 1189/72, 
  15017/1536, 98009/4608, -745/24, -107/32, -1099/96, -52529/4608, 
  -70163/4608, 11439/256, 14489/4608, -97081/4608, -19/32, 86089/4608, 
  2037/512, 7493/768, -295/144, -13/16, -93643/6912, -697/288, -17/2, 
  20771/1728, 4301/192, -263/12, -5605/576, 869/96, 3607/864, -35/48, 
  1423/72, -619/96, -35/8, -7043/384, -3083/288, 23951/864, 36101/768, 
  -1123/96, 55/8, -11525/2304, -13957/432, -79/24, 187/24, 1601/144, 
  -2507/288, -14305/1536, 229/96, 341/24, 1603/144, -2317/288, -143/96, 
  -10259/144, -5085473/82944, -5839/576, 1337/144, 5609/432, 13/4, -5215/144, 
  -3961/576, 1597/144, 253085/1728, 50345/864, -4529/432, 3001/144, 
  -3145/288, -81733/1728, 119/72, 46513/2304, -7845/512, 185/288, 
  -2416223/27648, -59279/1728, -51/16, -3851/96, 34999/4608, 4686463/27648, 
  84433/4608, 352721/4608, 689/48, 1717/96, -58229/768, 229/96, 0, 349/24, 
  -13/6, -71/96, 0, -17243/432, 139/36, 0, 4199/432, 0, -97/8, -2059/144, 
  1093/144, 1841/72, 1009/64, -4523/432, 2579/144, -1897/288, -11305/576, 
  95/72, -349/24, 1403/72, -1939/144, 1469/432, -1133/72, -1/16, -76397/4608, 
  12103/512, 4492375/41472, 18907/1536, -1247/72, 1339/96, 55/24, 
  -195223/2304, 217/144, -119/96, 53/16, -25/4, -3, -3/2, 1973/64, -307/16, 
  -215/8, 207/8, -59/16, -1/4, -39/2, 129/4, -653/32, -3/4, 1321/16, 
  -1929/32, -19/4, -1475/32, 1, 0, -11/8, 341/16, 18, 7/4, 427/16, -295/16, 
  61/16, -1075/16, 153/32, 0, -1/2, -1, 33/32, 0, -21/4, 63/16, 0, -53/4, 0, 
  1/4, 1, 1/2, 71/192, -5/2, -17/4, -129/32, 27/4, 49/8, 2, 431/864, 
  11143/864, -455/48, -2371/96, -21/16, -63/16, 0, 0, 25/8, 71/192, 13/16, 
  -3/8, 3/2, -129/32, 21/8, -6, 49/8, -21/2, 2, 25/8, -1855/864, -6751/864, 
  -137/48, 12511/864, 953/48, -175/24, -3371/432, -1/2, 27/8, 1/8, -1/8, 
  209/8, 1/4, -2, 11/8, 0, -593/288, -443/192, 0, -233/18, 0, 0, -1/4, 2, 
  -11/8, -1007/144, 1081/288, -19/16, 1175/48, 199/96, -791/72, -1/2, 
  1405/72, -307/18, -2, -16255/96, -13/8, 745/144, 0, -455/24, 2, -7/4, 
  881/144, 1109/36, -1061/288, -1493/72, -745/144, 0, 0, 27/16, 244/9, 
  -937/144, 1/2, -43/8, 45823/288, 0, -107/432, 1489/216, -7859/432, 
  4175/432, 9/2, -1645/432, -37/27, -29219/864, -4007/432, 1591/108, 
  1483/108, 35503/864, 27/4, -4571/288, 8/3, 0, -1/4, -17783/864, -685/216, 
  -1/4, 5/2, 21223/864, -1/12, -757/864, 29/3, 0, 847/48, -113/96, 0, 
  -11881/320, 113/96, 0, 18703/960, 0, -7337/480, 703/96, 374257/9600, 
  -280477/38400, -198631/9600, 24073/960, 11173/1920, 323197/38400, 
  -54679/5760, -197/24, -5065/96, 22, -19023/512, -1415/32, -14437/480, 
  -11795/1536, 561269/7680, 394967/7680, -1707/64, 48661/1536, 1175/48, 
  26575/1536, 29/24, -9/8, -57/16, -3/16, 0, 127/16, -11/3, 3/16, -27/4, 
  359/48, 11/16, -27/8, -153/16, -87/16, -3/16, -85/16, -211/48, 71/8, 99/8, 
  -65/12, -35/8, -259/8, -601/16, 117, 613/16, -671/8, 485/8, 325/8, 
  -5369/48, -113/4, -27/16, 51/16, 27/16, 245/128, -2885/384, 589/192, 
  171/64, -3449/192, -63/16, -2645/384, 135985/3072, -6515/288, -327/64, 
  -11765/1152, 547/36, -88457/3072, 14479/1152, 36083/1152, 13207/1152, 
  55079/13824, -194995/20736, 119/256, 23/480, -1165591/165888, 
  4537151/34560, 2023/23040, -12830717/34560, -70307/3456, 2723/3072, 
  -504049/69120, 3896905/165888, -667015/6912, 4109/288, 4555/216, 
  -1116221/18432, -8807039/55296, 20121299/55296, 5593079/165888, 
  36783007/138240, -12271/864, 61395319/276480, 30737753/138240, 
  -23761667/138240, -11906261/55296, 3/32, 16044851/207360, 2364823/165888, 
  279/256, -4592231/34560, -7638229/103680, -1032823/165888, 4342687/8640, 
  20381/7680, -12822077/34560, 15679/1152, -258919/6144, 11875/3072, 
  11460379/103680, 2901001/165888, -709303/6912, -161/9, 5021/288, 2863/216, 
  2/9, 11921597/82944, 214398371/829440, -1148477/18432, -74472239/829440, 
  -10269599/55296, 20125619/55296, -11839661/82944, 4890359/165888, 
  38568607/138240, -9301/864, -11464469/165888, 61140439/276480, 
  30683753/138240, -24823907/138240, -11906261/55296, -9/32, 15296081/207360, 
  2711287/165888, 279/256, -70193/768, -925733/12960, -846631/165888, 
  7957981/17280, -15559/7680, -12724697/34560, 79/192, -263495/6144, 
  11875/3072, 13956169/103680, 4132201/165888, -839227/6912, -4163/288, 
  5021/288, 2879/432, 2/9, -18459541/414720, 169733021/829440, 
  -1185005/18432, 132110237/829440, -7963853/55296, 18490835/55296, 
  -10160909/82944, 3182231/165888, 37961767/138240, -1825/864, 
  -210325397/829440, 51408109/276480, 33340673/138240, -20836667/138240, 
  -11398469/55296, 0, 0, 0, 0, 0, 0, 2639/160, 97/32, 0, -51409/3200, 0, 
  -6067/480, -2849/160, 56809/3200, 193/20, 0, -51/8, 55/6, 0, 63/4, 0, 
  -5807/480, -743/48, 43209/3200, 6917/480, -11/3, -257/16, 139/24, 257/32, 
  -103/16, 0, -1/2, -2757/80, -1099/96, 0, 5/12, 93159/2560, 0, -19/12, 0, 
  229/64, 5651/384, -31/16, -271957/7680, 15401/9600, -1219/384, 287/160, 
  35/18, 37/24, 23241/320, 58487/1536, -277/24, -478847/7680, 73/24, 
  -509/192, -105749/2560, -217157/7680, -9/128, -9303/320, -38837/1536, 
  205/48, 162757/7680, 23/24, 0, 107/8, -1/16, 0, -1267/48, 1/16, 0, 625/48, 
  0, -73/8, -361/16, 11/12, 587/24, 229/12, -697/48, 23/2, 199/24, -811/48, 
  -21/8, -19/8, 6359/160, -55/2, 25/6, -23731/240, -3941/96, -15457/240, 
  -6911/120, 7969/160, 18167/240, -7909/160, 101/12, 229/8, 19807/480, 13/6, 
  0, -1/6, 0, 1/6, 0, 0, -301/24, 7/6, 0, 21/2, 0, 33/4, 193/24, -319/24, 
  -9/4, 0, 37/4, -179/12, 0, -301/12, 0, 13/4, -1499/30, -49/24, 3583/60, 
  5/6, 191/8, -91/12, 1729/30, -1/8, -39/8, 0, 23/4, 0, -11/8, -41/8, -15/2, 
  -389/24, 49/6, 3/4, -1/4, 31/24, 0, -5/4, -3/4, 0, -35/8, -2, 0, 73/8, 
  -19/3, -5, 3/4, 7/2, -9/8, 3/4, -33/4, -11/2, -25/12, -4/3, 73/24, 4/3, 
  7/8, 101/48, -2, -557/16, 657/8, 1/4, -25/8, -169/48, -9/8, 9/8, -27/8, 
  -9/8, 0, 149/16, -3/16, 0, 21/16, -329/24, 3/16, 21/8, 259/48, -47/16, -3, 
  -161/16, 3/16, 161/16, 105/16, -439/48, 6, 11/4, -81/8, -3, -9/4, -15/4, 
  17/4, 15/4, -3/2, 51/8, 15/4, -49/8, -33/8, 27/16, -3/16, -27/16, 9/32, 
  -27477127/414720, -9814807/165888, -13/32, 70193/768, 30390211/414720, 
  7884271/165888, -7957981/17280, -38483/3840, 12724697/34560, -3677/576, 
  3909497/55296, 245/1536, -32928049/414720, -19190533/165888, 1748303/13824, 
  -5377/1152, -22085/576, 228821/3456, 3691/288, -252931/15360, 5603/72, 
  153/32, 69497/5760, -12695/144, 201/64, 383657/46080, -791/576, 277/384, 
  -83933/1152, 417/64, 3417/64, 773/96, 1325/1152, -135/16, -161/48, 6121/96, 
  3/4, -131165/4608, 289/48, -175/96, -22643/288, -85/6, -801/32, 273/32, 
  549491/15360, -17/3, -2531/192, -1399/72, -1/4, 0, -205/72, -365/72, 5/4, 
  -27827/12288, 1038407/55296, 7675/144, 533275/27648, -1117657/55296, 
  -194849/12288, 323495/36864, -5623/768, -15095/36864, 4481/18432, 
  61825/18432, -1157/144, 3658031/110592, -35831/13824, 152923/6912, 
  -447569/12288, 0, 12697/18432, 138023/36864, 0, -108841/36864, 0, -331/72, 
  -40639/18432, 33881/18432, -23/9, -1211/144, 1199965/55296, 40769/18432, 
  -3511/54, -31511/1728, 42599/18432, 0, -80327/18432, 1117/288, 0, 
  80041/18432, -1117/288, -42313/18432, -33263/18432, 1/576, 3/2, 33049/3072, 
  205/576, -237127/18432, -6647/1152, -1523/192, -18317/1152, 267/32, 
  -82835/9216, 157691/9216, -2191/384, 137195/9216, -43/6, -55765/9216, 
  -347/576, 1/2, 0, 11/24, 523/144, 3, 72551/18432, -65927/9216, -1405/144, 
  -92207/9216, 10135/9216, 30887/18432, -1/8, 737/864, -2207/192, 
  -26389/2048, 579/64, -105157/18432, 101/24, 423/32, -7231/1152, -53/12, 
  1177/18432, 275/48, 0, -90275/9216, 43019/4608, 34361/6144, -71185/18432, 
  473/576, 33989/2048, 1715/1152, 48755/9216, 1021/384, -69851/9216, 
  51047/4608, -32913/512, -10849/144, -271/64, 13135/4608, 126149/1536, 
  24689/288, -15539/768, -2015/256, 875/384, 271073/4608, 3697/24, -79/96, 
  -181655/4608, -12817/96, 3547/256, -37625/576, 627/64, 31487/576, -4, 
  43771/10240, 95728901/276480, -15307/192, 908263/46080, -71791507/92160, 
  1541/48, 3039199/23040, 42769/144, 72675067/92160, -3415/18, -2410061/4320, 
  13394879/13824, 152953/128, -127630231/276480, -30626273/27648, 0, 
  53927/4608, -21437/288, -271/64, 0, -2417/4608, 50251/576, 0, -12721/768, 
  0, -54695/4608, 9951/64, -79/96, -23503/4608, -8605/64, 14929/768, 
  -41753/576, 627/64, 30995/576, -4, -75271/18432, 115444421/276480, 
  -15595/192, 19/48, -71403667/92160, 5005/192, 1320239/23040, 41635/144, 
  69925147/92160, -12409/72, -76597663/138240, 13436351/13824, 151583/128, 
  -128978071/276480, -30667745/27648, 0, 0, 0, 2315/288, -107/32, -29/4, 0, 
  0, 0, -349/48, 25441/800, 2413/120, 0, -41/12, 0, 3, 0, 0, 0, 0, 32/9, 
  1329377/6144, -799/72, -1436803/92160, -31273/9600, -1429/144, 
  -172133/6144, -6218989/276480, 323/144, -3, 3, -3, 0, 41719/8640, 
  100033/34560, 437147/2048, 0, -772697/86400, 2904301/276480, 0, 
  -139183/10800, 0, 6, -191609/6912, -784339/18432, -2345/384, 
  -15148667/276480, 43505/3456, -93/8, 379/32, 44641/4608, 265/72, 
  -41719/8640, 3257117/17280, 10817411/18432, 3399947/86400, 37913999/276480, 
  -869719/14400, 350425/13824, -203171161/276480, -1305714647/4147200, 
  -159083/6912, -6614267/34560, -8802491/9216, -46857/512, 21881809/69120, 
  22255/144, 9/32, -22509127/414720, -8484247/165888, -13/32, 70193/768, 
  25163011/414720, 7964407/165888, -7957981/17280, -26483/3840, 
  12724697/34560, 17273/1152, 7077541/276480, -974059/46080, 
  -202262909/2073600, -303373153/4147200, 1797119/13824, -190061/23040, 
  118187/7680, 858059/21600, -78259/23040, 0, 6, 0, 0, -3, 0, 0, -9481/1152, 
  -1226389/46080, 0, 373663/28800, 0, 1237/1152, 1833307/46080, 
  -325963/28800, -83873/7680, 0, -9, 3, 0, 3, 0, 6025/1152, -2735483/138240, 
  -287263/28800, 524917/17280, 3, -3, 0, 625337/13824, 0, 0, 29/32, 9/4, 0, 
  1/6, -1/6, 1/16, -1/16, -11/4, -11/48, -55/48, 701/144, -5/24, 1/12, 
  101/144, -7/8, 5/12, 5/24, 0, -1/8, -27/16, -9/4, 23/24, -1483/144, 7/16, 
  -1/16, 5/16, 65/32, -203/288, 1177/2304, 13/48, -1/16, -111/64, -5/24, 1/8, 
  25/32, 9/8, 7483/1152, -589/288, -3/8, -25/32, -191821/20736, 1/4, 1/4, 0, 
  -145/24, -1819/576, 5, -9/4, 0, 865/54, 12563/576, 1/12, -659/108, -979/72, 
  0, -25/8, 0, 0, 299/36, -1483/288, 5/2, -55/18, -521/128, 671/72, 2663/432, 
  -1333/128, 13/16, 0, 997/288, 29/24, 343/72, -3895/288, 22261/1152, 1/2, 
  -11/24, -205/288, -1/2, 145/24, -1189/96, -79/18, 9/2, -631/54, -475/576, 
  -13/12, -27/8, 271/144, 19/8, -257/36, 8311/384, -113/36, -100247/3456, 
  -42535/1152, 737/576, -1489/288, -3767/576, 221/576, 1655/288, 8953/576, 
  -407/48, -9/4, -193/48, -3/2, -19/8, -1657/128, 23/8, 5347/864, -3059/1152, 
  1133/144, 0, -2953/288, -9/8, -155/48, 27/4, 0, 8/3, 367/24, -27/4, 0, 
  -67/24, -193/16, 0, 5/4, 0, 127/12, -89/24, 0, -13/8, -2327/64, 389/48, 
  63/16, 6937/192, -59/16, -35/8, 3, 373/24, 859/48, -3469/192, -10/3, 
  -181/12, 1/4, 461/96, -15/8, 3/8, -635/96, 15/8, 1/4, 11/4, -1/8, -125/24, 
  17/12, 325/64, -817/96, -115/96, 4, -7/8, 73/48, 149/48, 65/96, -7/8, 
  37/192, 7/8, 1/8, -5/24, 0, 229/96, -79/192, 0, 0, 0, -51047/13824, 
  299015/10368, -87/128, 0, -6958739/207360, -302665/10368, 629/128, 1/32, 
  7371779/103680, -29449/2592, -1/32, -3027877/103680, 0, -6559/432, 
  1187/576, -70055/13824, 215501/10368, -2407/1152, -1995911/51840, 
  15725/5184, 3580837/103680, 1/3, -137/144, -1327/108, -4733/576, -3035/144, 
  5/24, -157/72, -18605/9216, -48934043/207360, 322805/5184, 7298759/103680, 
  32271859/69120, -8377/1152, -3410663/12960, 3352417/103680, 493/128, 
  -519533/6912, -3808417/20736, 215/128, -105632819/207360, -61565/5184, 
  -6179009/103680, 407279/3456, -1559/576, 14755/1728, 199/72, 
  16080379/46080, -13434155/20736, -7379123/10368, -901/576, -103/64, 
  421711/1280, -419/576, 1365461/51840, 3821/432, 30721493/41472, 207/128, 
  -2393/1152, 0, 0, 0, 0, 0, 0, 83/16, 31/48, -3/4, 0, -637/48, -95/96, 
  -1/32, 745/96, 1/32, 271/96, 23/8, 299/96, 457/192, -133/96, -1/3, -137/48, 
  -203/48, -5/24, 0, 0, 0, 0, 0, 0, -491/96, 361/32, -87/16, 1577/96, 
  -6139/192, -4871/192, -67/48, -1081/192, 2393/256, 2015/192, -59/48, 
  -59/96, 0, -26653/1536, -133/96, 36587/1536, 9445/768, 59/48, 23/24, -1/4, 
  -3/8, 0, 1/2, 7/8, 0, -1/4, -1/2, 0, 0, 0, 3/4, 7/8, -19/96, -41/32, 
  107/48, -121/48, 8939/1152, 2729/576, 1/8, -7/12, -1/2, 1729/576, 
  -2671/1152, 191/1152, -13/24, 1/12, -311/144, 5/12, 1/4, 1, -1/2, -7/4, 
  1/4, 3/4, 0, -1, -17/8, 8855/4608, 73/96, -12713/4608, 29/24, 9/8, 
  -9143/4608, -11/24, -5/8, 7/8, -1/4, 3/2, -1253/1536, -7/8, 0, -3/8, 
  -15/32, -1/8, 0, 0, 1/6, -1/6, 1/16, 23/16, 2, 0, 35/24, -559/144, -1/8, 
  -15/8, -1/16, -31/48, 1/2, 1/6, 0, 4879/2304, 493/128, 31/48, -21/16, 
  1421/144, -101/12, -1/16, -259/36, -73/288, -491/144, -43/32, 7/24, 17/48, 
  581/144, -1/6, -289/144, 373/256, -155/48, -1573/288, 81/8, 545/144, 
  -467/1152, 2675/864, -247/144, -245/48, 77/24, -29/24, 245/48, 1, 43/16, 
  -21/16, 55/48, 43/12, 3/2, -17/8, 41/48, -167/48, -15/2, -11/16, 7/6, 
  169/48, -7/16, -1/48, -57/8, -177/16, 11/4, -20/3, -35/16, 11/8, 5/2, 
  221/16, 17/2, 5/12, 151/8, 41/8, -59/12, -119/16, 35/6, -33/4, -27/2, 25/2, 
  -16/3, -77/6, -25/16, 51/8, -103/24, -455/48, 63/16, -119/16, 493/48, 
  103/48, 283/48, -127/48, 29/8, -27/8, 755/48, 1/4, -17/2, -211/12, 283/48, 
  -45/8, -755/48, -45/4, -17/4, 149/16, 41/8, 175/48, -265/16, -37/16, -2, 
  -195/16, 331/24, 743/48, -71/16, 15/16, 95/16, 29/8, 1/24, 1/8, 0, -77/96, 
  0, -81/64, 47/96, -11/48, 0, 133/48, -2945/192, -1/6, 53/64, 1/6, -17/48, 
  -13/16, -1/4, -1/8, -67/48, 47/16, 5/2, -27/32, -59/48, 11/24, -5/24, 
  17/48, 43/192, -29/48, 5/12, 5/24, 1/16, -7/8, 443/96, -69/16, -3/64, 
  95/12, 367/96, -111/64, -3179/192, 9/8, -13/48, -133/96, 587/32, 263/192, 
  -73/16, -431/96, 13/48, -575/32, -31/48, -5/24, 1/4, -925/96, 13/32, 
  -23/96, 901/96, -9/8, -1/2, 119/32, 437/96, 1/4, 0, 21/32, -51047/9216, 
  22805/576, -975/512, -19039/9216, -22805/576, 11681/1536, -41693/1152, 
  -15187/6144, -51047/9216, 29101/384, -11681/1536, 1283/288, -41693/1152, 
  51047/9216, -22805/576, 2, -20333/6144, -5215357/13824, 68765/576, 
  -3065/1536, 6896501/9216, -5931/128, 0, 41693/1152, 47/24, -974431/9216, 
  -359893/1152, -7147799/9216, 1/8, 104639/576, 20333/6144, 10487831/27648, 
  -2033/24, 30088471/55296, -47687143/27648, -144847/128, 56971/512, 
  136295/576, 34758691/27648, -167585/1152, -29978131/55296, 13393691/13824, 
  63272945/27648, -3276259/6912, -30704897/27648, -85/16, -5/4, 0, 317/24, 
  5/4, 0, -379/48, 0, 49/32, -85/16, -73/32, 379/48, 49/32, 149/16, -67/4, 
  345/16, 0, -3145/96, 4551/64, 0, 11827/192, 0, -1/8, 121/8, -181/16, 63/16, 
  -53/3, -313/48, 5/12, -203/32, -49/32, -4, 1671/32, -771/32, 1877/96, 
  -7069/64, -3437/64, -533/32, -229/32, 1783/96, 203/32, -1095/32, -3/4, 
  1219/32, 591/32, 105/32, 0, -1/4, -13/32, 0, 31/32, -241/96, -11/8, 0, 
  -41/32, 3997/192, -5/48, -29/48, 5/48, 1/16, 7/16, 1/2, 1/4, -31/16, -5/8, 
  17/8, -77/48, -37/16, -1/12, -1/12, 1/48, -7/12, -163/48, -5/12, -23/96, 0, 
  1/8, 19/16, 9/4, 3/16, -197/48, 8, -121/32, -5/24, 3293/192, -1/16, -17/32, 
  -109/32, 293/32, -281/12, -1025/96, 13/48, 13/24, 1441/96, -23/96, 1/8, 
  -25/32, -9/8, 575/96, -53/32, -1051/96, -3/8, 47/32, -97/96, 1/4, -67/32, 
  0, 97/216, 21379/1536, -89893/6912, 3/4, 0, 2513/864, 1364041/124416, 
  -55/18, 0, -4739/13824, 217/108, 0, -1/4, 1/8, -6245/10368, 527357/41472, 
  5/4, 523/432, 8642423/248832, 62863/1296, -133/48, -1147/216, 0, -13/24, 
  -108401/13824, -35/6, 65479/5184, -25681/1296, 325/108, 5/12, 61/12, 
  -12775/432, -673/864, -18417/1024, 24407/27648, 41/12, 241/96, 
  2154929/82944, 188957/13824, -5/16, 643/288, 0, -46063/10368, 331187/82944, 
  5/72, 24791/4608, -24305/5184, 107/72, 209887/10368, 79123/5184, 
  -427655/41472, -13399/864, -115189/27648, -1525/27648, 5/6, 211/576, 
  -115/64, 661279/41472, -213149/27648, -4549/3456, -963167/82944, -919/1152, 
  -11/4, 1835/1152, 0, 51047/9216, -91/288, -149/128, 0, 7957/3072, 
  8303/1152, -45/64, -1/32, -10897/1536, 1093/192, 1/32, -1/8, -1051/384, 
  -2815/192, 43879/9216, -10349/384, 37/64, 14705/1536, -539/192, 17/24, 
  127/8, 43285/1152, -155/32, 0, -9/8, 2/3, 3151/4096, 587555/3456, 
  -83891/1152, -447/64, 160021/36864, -5380403/6912, 15559/384, 9735/512, 
  300821/1536, -39/64, 643675/9216, 5111/32, -15/64, 856243/2048, 15013/576, 
  305149/768, -114923/1152, 1277/96, -1081/24, -5/4, -3794387/13824, 
  14336083/13824, 523/64, 51174977/55296, -4399949/13824, 15/64, 
  -15336871/55296, -1649/36, -3605437/3456, 1485/32, -84719693/82944, 
  255/128, -215/64, 4449953/6912, -1/4, 0, -6109/1728, -1370389/69120, 0, 0, 
  1961/288, 1327189/69120, 0, -4625/1728, 0, 0, -4589/1728, 1777051/69120, 
  -15/8, 0, -809/576, -81893/1728, 1/32, 1069/288, -1/32, -5/8, 75463/11520, 
  19/4, 4267/1728, 2029753/69120, -2815/1728, 11/8, -361/48, -119977/11520, 
  -5/24, 0, 9833/1728, 629683/11520, -31/6, 0, -759/64, -2505629/69120, 0, 
  1079/144, 0, -1649/6480, -15909247/414720, 19395677/138240, 310021/129600, 
  12387473/207360, 459889/21600, 91351/34560, 80311/5120, -1472897/82944, 
  -1312367/69120, -931/432, -2328029/69120, 21/4, 317/144, -323/96, -3, 
  5988541/414720, -10658479/46080, -353/64, -3112831/414720, -83/72, -1/12, 
  11/4, 6497/144, 1/4, 215/24, -1/24, -1/3, 0, -1681/72, 607/144, -1/4, 0, 
  5333/432, -47/48, -1/16, -61/48, 1/16, -43/2, 239/96, -1/2, -7/72, 
  5279/288, -1001/144, -279/32, -25/96, 595/96, 89/12, 19/12, -277/72, 
  2669/288, 601/96, 1/3, -7/3, 211/144, -1/3, -215/24, 757/48, -845/72, 
  665/72, -1141/72, 5/4, -5/8, -3/8, 0, 305/24, -2017/288, 817/72, 16459/432, 
  5147/288, -67/32, -37/72, -6613/576, -987/64, -217/36, -755/48, 233/16, 
  307/72, 3/4, 0, 845/144, -5/24, 2003/864, 355/36, -215/144, 1/4, 1117/288, 
  0, 1/8, -23/16, 359/32, 285/32, 0, 15/16, 151/32, -61/4, 0, -125/96, 
  -1909/48, -3/2, 1061/64, -59/32, -3/2, 11/16, 37/2, -69/4, -239/48, 429/8, 
  -883/16, -299/12, -115/24, 113/3, 5/2, -2281/192, 367/64, -499/192, 197/16, 
  275/192, 71/48, 1/4, -5/8, 0, 0, 1/8, 21/64, -7/16, 907/432, 2153/288, 
  19/24, 695/24, 281/54, 75/32, -1723/32, -1681/288, 1267/48, 0, 9/8, -25/32, 
  -547/48, -139/216, -11/8, -19307/288, -3893/288, 19943/288, 0, -49/8, 
  -5915/288, -3019/288, 3665/72, 3/2, 7985/288, 37/16, 193/96, 1513/864, 
  -853/192, -709/32, 859/96, -30047/3456, 14803/288, -10541/1152, -4853/144, 
  16/3, -2383/288, 571/48, 2401/48, 8405/216, -1049/24, 7481/288, 1279/288, 
  -1491/32, -13205/288, -257/48, 4733/192, 1891/128, 1313/288, 4607/384, 
  8269/1152, 2839/144, -4727/216, -12031/576, -659/288, 575/96, 345/64, 
  -355/64, -1871/192, -689/384, 637/144, 1121/288, 29/12, 5/12, -1015/36, 
  -907/144, -391/96, 1599/32, 43/32, -155/6, 0, -1931/144, -799/96, -17/12, 
  1/4, 16835/288, 163/48, -13/16, -6037/144, 3/16, 0, 13297/288, 787/288, 
  13/16, -16951/288, 21/16, 0, -1085/32, -75/8, 3/2, -709/144, -509/96, 
  -181/48, 511/48, 1051/48, 1057/96, 575/32, -1495/32, -829/96, 617/24, 
  23/36, 10505/108, -171/32, -755/18, 56369/864, 4241/72, -973/288, 
  -67825/864, 1175/288, -11/32, 11/9, 13/6, -369/32, -3575/288, -469/32, 
  -577/72, 10309/108, 117/16, 11051/288, -87827/432, -1, -1/4, 821/96, 
  -33/32, 49/96, 0, -1/8, 1483/864, -383/108, -3/4, 8363/864, -1391/72, 
  17/24, -1141/48, -1489/108, -161/96, 1615/32, 943/288, -1243/48, 0, -3/4, 
  -605/288, 196/27, 297/16, -15883/432, 11125/288, 15491/288, 25903/864, 
  -4415/72, 2/3, 2483/864, -1619/432, -5365/288, 19529/864, -4273/144, -5/12, 
  1/3, 3823/288, 7/6, -3/8, -1/4, 59/16, -221/48, -2303/216, 413/48, 875/288, 
  569/48, 737/144, 43/16, -77/16, -19/3, 673/36, 3265/216, -6551/288, -4, 
  17/2, -905/72, 13/3, 1/2, -1/8, 3/32, 5/8, -185/96, -485/96, -11/16, 7/6, 
  -111/32, -25/24, -5/8, -65/96, 31/24, 0, 47591/13824, -296855/10368, 
  343/576, 0, 6028409/207360, 333917/10368, -1631/1152, -1/32, 
  -3583177/103680, 3685/1152, 1/32, -589/576, -1/8, 1777/108, 73/48, 
  52775/13824, -324311/10368, 25/144, 3418657/103680, 2497/288, -589/288, 
  1/12, 443/108, 6883/432, 451/432, 1853/144, -5/24, 1907/432, 
  -35519087/2488320, 41327311/276480, -285805/4608, 69/32, 
  -160596463/2488320, -100802669/497664, -106913/9216, 406075063/829440, 
  9869/3456, 39/64, 80151571/1244160, 26457547/248832, 259/288, 
  5029171/15552, -322783/13824, 19721/1728, -180817/2592, -643/96, 4007/1728, 
  -1559/432, -19745641/103680, 62918393/138240, -335/64, 337538147/829440, 
  5303/1728, -15/64, -63995381/311040, 51305/4608, -145/1728, -27809/1728, 
  -21039587/41472, -509/128, 231/64, -13765/1728, 0, 51/8, -5/24, 0, -199/16, 
  5/24, -1/16, 97/16, 1/16, 0, -2021/240, -547/96, -1/2, 0, 80627/9600, 
  119/32, 1/32, 79/48, -1/32, 1/8, 1771/240, 3/8, 143/32, 245/48, -791/96, 
  -1/12, -23/48, -8/3, 5/24, 0, -31/16, 271/32, -19/2, 0, 157/48, -1111/24, 
  0, -3665/96, 0, 1433/120, -881/96, -2305/96, -65619/3200, 36097/1536, 
  731/320, -8131/320, 3389/128, 128561/12800, 5451/640, 37/6, -1217/96, 
  -13/4, -181/24, 641/24, 3, -1853/192, 6253/512, 271/32, -5999/1536, 179/16, 
  17/4, -3, -277/96, 0, 1/4, 1/4, 0, 0, 37/12, -11/12, 0, 0, -197/48, 2/3, 
  1/16, 73/48, -1/16, -7/8, 1/8, -3/4, 1/8, 35/96, 203/24, 605/96, 531/32, 
  -547/96, 5/2, -17/24, 1/2, -79/48, -345/32, -1075/96, -29/24, 1/3, -67/48, 
  -5/12, -5/8, -41/12, 61/8, 47/24, 93/8, 3/2, 7/8, 5/8, 0, 51/8, 139/48, 
  -61/8, -593/16, -2047/48, 1765/16, -179/24, 25/48, 1433/48, 41/24, 65/12, 
  -4, -17/8, -1, -1/4, -239/24, 4, -9/8, 109/24, -1/8, 1/8, 0, -86759/9216, 
  23237/576, -133/64, 0, 71873/9216, -10117/288, 0, 203/512, 0, 11/8, 
  -40145/1152, -131/96, -102247/9216, 31189/384, -123/512, 77/36, 11/8, 
  -36353/1152, -35/24, -4589/6144, -11010551/27648, 20407/192, -27721/1536, 
  7694075/9216, 265/128, -1245545/13824, -141233/576, -7391357/9216, 
  162605/1152, 31804627/55296, -13349195/13824, -77387/64, 3143851/6912, 
  30566225/27648, 0, 51047/9216, -22439/576, -271/128, 0, 12265/1536, 
  3395/384, -271/128, 1/32, -107927/9216, 48187/1152, -3/32, -3307/512, 1/16, 
  7/8, 41621/1152, -133/192, -396739/23040, 14071/288, 79/384, 29513/2880, 
  -41335/576, 11213/1536, -13/6, 49/8, -117/4, 85/24, 2989/96, 37/24, -55/12, 
  -17101/2048, 3477397/92160, 363/128, -6295/6144, 105328199/276480, 
  -32687/384, 53795/18432, -7186643/9216, 5521/192, -540947/18432, -6805/192, 
  37/128, 4494011/46080, 278947/1152, 7244741/9216, 12415/288, 889/96, 
  -166007/1152, -755/96, 273091/30720, 557/128, -30810739/55296, 
  13380515/13824, 113773/96, -490451/30720, 559/96, -3161779/6912, 1223/576, 
  -47/128, -30636857/27648, -81/128, 0, 4, 0, 0, -6, 0, 0, 2, 0, 0, 
  4127/1728, -1180309/69120, 0, 6709/1350, 1178149/69120, -1/32, 
  -294913/43200, 1/32, -1/8, 81713/11520, 1/8, -9115/1728, -1667707/69120, 
  386713/43200, 1/12, -5/16, 170753/11520, -5/24, 0, -19/2, 5/4, 0, 21/2, -1, 
  0, -3, 0, -4451/1728, -330683/207360, -444875/2048, 1104499/86400, 
  975925/165888, -362897/14400, 2880451/207360, 18559867/829440, 
  -34718377/4147200, -831451/207360, 11/2, -3, -7/2, 3/2, 0, 384497/20736, 
  -257/96, -473321/13824, -493145/20736, 7/4, 1/2, 251/96, -2945/384, -11/32, 
  31/4, -323/128, -137/32, -679/32, 1/3, 0, 3433/288, 0, -1/2, -1, -5/2, 
  15/2, -25/2, 5/3, 7/2, 5/2, 1/2, 3, 29/2, -1/2, 17/8, -5/2, -85/12, 37/8, 
  -20/3, -53/12, 11/6, 5/4, -269/24, 315/64, -43/3, 235/24, 6671/384, 
  202661/6912, 907/256, 3/2, -23/12, -1/4, -11/12, -575/288, -1/6, 7/8, 
  95/24, -21/4, 73/48, -1033/192, -13/6, 5/24, 0, 0, 0, 9/4, 0, 9/4, 9/4, 
  3/4, -3/8, 5/2, 0, 1/18, -1/12, -17/6, -1/18, 1/3, -6, 410/9, 1769/36, 3/2, 
  317/72, 0, 379/24, -1733/36, -1745/288, -73/8, -7/2, -35/3, 55/12, 7/2, 1, 
  41/4, -72809/576, -10303/72, 33/4, 6803/192, 0, -217/48, 40621/288, 
  -1825/96, -6257/576, -25/12, -1347/32, -643/128, -9527/2304, -267/256, 
  35/8, -1537/72, 7/18, -9, 5627/216, 0, -391/72, -7/9, -5573/216, 7/18, 
  631/18, -253/9, -1444/27, 3, 1517/36, -1/2, 851/288, -23/8, 16637/864, 
  1067/18, -853/96, 7/8, -325/32, -3053/72, 263/6, -7597/144, -24565/576, 
  85211/432, 1337/32, -19667/108, -59/48, -497/72, -839/144, 193/24, 0, 
  -181/36, 67/48, -737/96, 181/36, 59/48, 1135/36, -59/32, -1889/96, -197/8, 
  0, -1451/24, -23095/72, 0, 259/6, 0, -181/18, 82091/288, 181/36, 371/36, 
  1451/24, 67787/96, -3403/72, -92621/288, -110981/288, -3/4, -62/3, -6, 
  -121/4, -1327/36, 15, 39/2, 1327/36, -155/12, 97/6, 3/2, 119/18, -97/6, 
  24151/1920, 645/16, -401/16, 82913/1600, -96751/4800, -198679/4800, 
  6199/72, -85709/1800, 8047/160, 843839/5760, 100, -6419/30, -165229/960, 
  -943/6, 279/128, 77/16, 71/96, 8045/512, 1111/48, 119701/9216, 63/2, 
  2989/192, -1039/48, -2987/192, -115/96, 529/128, -1127/384, 67/24, -9/32, 
  -691/128, -11/8, -375/128, -547/128, 689/384, -137/128, -43/192, 1265/288, 
  35/32, 279/256, -2369/288, 167/64, 439/96, -2, 7757/1024, 6559/384, -9/8, 
  11251/576, 4925/384, -4447/384, -7231/384, 673/128, 0, -1333/48, 29/16, 0, 
  41501/4800, 0, -869/240, -10411/288, -8885/192, -1771/144, 5089/80, 
  4193/96, -57211/1600, 392503/1440, 671/64, -19197/640, 179/48, -277/32, 
  189389/3200, 59299/9600, -206587/9600, 6281/288, 73517/1152, -200347/9600, 
  71119/2880, 128549/640, 6933/128, -702847/2880, -81367/320, -35225/288, 0, 
  1333/96, -29/32, 0, -41501/9600, 0, 15053/480, 36785/1152, 218549/9600, 
  1675/288, -16739/480, -3593/128, 21593/1920, -176333/640, -517/384, 53/192, 
  -53/192, -25/48, 53/64, 25/48, 0, 0, 0, 0, 25/128, 53/384, -25/128, 
  -53/384, -47/192, -187/384, 161/384, 95/192, -301/768, 1681/768, -211/768, 
  0, -13433/2304, -317/64, 199/192, 1493/384, 0, -137305/6912, 0, 
  137305/6912, 0, 42947/768, -305/32, -41155/768, 47/64, 1106831/17280, 
  6037/144, 0, 0, 35/32, -71/96, 0, -583903/17280, 583903/17280, 
  -1483301/17280, 665533/4320, 3385/288, 0, 0, 0, -13433/2304, -317/64, 
  199/192, 425201/13824, 549601/6912, -50937/512, 31/64, -1778243/13824, 0, 
  -171865/13824, -13433/2304, -633943/34560, 103393/13824, 669763/34560, 
  14101/512, 411377/13824, 759563/13824, -164371/1536, 2165861/69120, 
  -2183141/69120, -1551899/13824, 0, 0, -59/96, 0, 0, 0, 0, 59/96, 0, -59/64, 
  0, 0, -59/96, 0, -59/64, 59/64, 0, 0, 0, 0, 0, 0, -60263/13824, 
  -16657/10368, 8927/864, 1, -10/3, -5/3, 9/16, -49/24, 1/8, -13, 41/2, 
  -5/12, 29/2, 1/8, 11/2, 4, -11/3, 3, 0, -1, 231/64, -12049/1728, 
  -46897/11520, -1/12, 5/18, -13/18, -1/9, -37/9, -20/3, -37/12, -113/24, 
  47/18, 2483/192, 469/288, 77/18, -1843/384, -62999/3456, -37/9, -7/24, 
  1/72, -29/24, -25/48, 137/72, 37/48, 17/12, -23/24, -695/64, -2, -1327/48, 
  91/12, 7045/216, -133/12, 13/18, 689/216, 0, 0, 181/18, -131/18, -181/18, 
  133/72, 397/12, 181/256, -9/8, 15/4, -27/4, -11, 445/72, 229/128, -15/4, 
  -5/2, -779/256, -9/4, 27/2, -9/4, -27/2, 0, 71/18, 71/18, 1/2, 9/4, -81/4, 
  27/4, -71/18, 27/4, -21/4, 3101/48, -179/8, 69/32, -6395/64, -3655/128, 
  -135/8, 1417/16, -1057/16, 2913/16, -5143/24, -1935/16, 551/24, 6593/192, 
  42227/192, 21271/384, 7, -2945/72, -16145/216, -181/18, -55/3, 3983/36, 
  5545/144, 41/4, 913/72, -12743/864, -5299/144, 14903/864, -1625/72, 
  -1559/16, -25/4, -1255/48, 10247/288, 6613/72, -19/3, -20675/432, 21/2, 
  -391/216, -39833/864, -11657/864, 25139/432, 8705/864, -1, 2545/24, 
  5569/36, -19703/144, 2015/144, 85559/864, -8401/288, -1619/72, -887/8, 
  50155/144, -89837/864, -121/24, 0, 8855/144, 0, -16415/288, 0, -13715/72, 
  403399/864, 24145/144, 11413/144, -8387/144, 44285/288, 13055/288, 
  -395767/864, -44069/288, 4237/144, -4219/36, 3/4, -11843/864, -20071/432, 
  -7393/864, -30893/432, -248/9, 5231/144, 11581/72, -16991/216, 20/3, 
  -2377/96, -13991/216, 22265/144, 28405/864, 107/16, -4551/32, 28283/192, 
  -4753/192, 7247/64, 6445/192, -559/32, 9295/96, 2031/16, 103/8, 
  -60263/13824, -24001/10368, 1/3, 8927/864, 5/12, -17/24, 11/8, 0, 0, -1/4, 
  60263/27648, 48625/20736, -23/96, 5/6, -8927/1728, 739/288, 143/96, 
  1487/192, -859/288, -1031/192, -272803/69120, 69824509/414720, 
  -18469/27648, 3077/23040, 47653/3456, 415/96, 4369931/34560, 549877/1728, 
  91/192, 79/96, -324547/46080, 69125609/414720, -23545/27648, 6155/864, 
  -179/144, 426791/69120, 398441/27648, -137/288, -89/96, 1375777/11520, 
  543709/1728, 41035/864, -269/576, -4937/108, 0, 0, 0, -1/2, 7/4, 1/12, 9/4, 
  -17/12, -91/24, 115/24, 1/4, -17/16, 5/32, -5/6, -77/384, -55/48, 55/48, 
  -499/96, 257/384, 157/48, 0, 59/32, 0, -101/48, 0, 1/4, -113/24, 9/32, 
  53/48, 49/32, 191/32, -3/8, 395/96, -299/96, 57/16, -137/48, -135/8, 
  -11125/32, 289/32, 53939/192, -745/64, 2669/192, 17363/48, 805/64, 3107/96, 
  271/16, 16123/96, 67/24, 29/8, -1/8, 3/4, -37/64, 29/2, 407/16, 89/64, 
  5/12, -1/4, -341/24, 3/8, -21/8, -227/64, -1433/64, 3/2, -1/4, 15/8, 
  18497/192, -59/4, -9211/64, -581/8, 1699/12, -397/32, -8993/96, 6505/48, 
  649/32, 191/8, -3029/64, 11539/192, 2315/48, 8, 0, -77/8, -975/128, 7/2, 
  -25379/1536, -133/72, -6257/108, -8561/216, 415/27, -101465/216, 71/24, 
  -163/24, 289/48, -29/24, 237/16, 103/48, -391/48, 88919/6912, 
  -23953769/69120, 901733/13824, -36458087/55296, 389534333/497664, 
  143543/11520, -17059099/82944, -4616053/207360, -11105/864, 
  -62167307/414720, -1457256637/2488320, -414609163/2488320, 10208207/103680, 
  6305/96, 95255/6912, -23877449/69120, 1069403/13824, -36667591/55296, 
  -3641/108, 1071675283/1244160, 153623/11520, -4629511/20736, 
  2928347/207360, -1769/864, -68859707/414720, -1464488317/2488320, 
  -7087555/18432, 9940907/103680, -94257899/2488320, 0, 0, 231/64, 
  -13993/1728, -46897/11520, -9/8, -9/8, 0, -7637/288, 2233007/43200, 
  14843/4608, 208943/17280, 0, -700845811/2073600, 89375441/518400, 1/4, 
  55/24, -231/128, 11509/3456, 15/64, 73297/23040, -55/24, 
  -594480211/2073600, -598357411/1036800, -15/64, 594480211/2073600, 
  417137/17280, -29586239/69120, -1634051/21600, 392499757/552960, 31907/320, 
  -272617/13824, 4038451303/4147200, 17238439/51840, 1005871/69120, 
  21419699/69120, -3584260247/4147200, 1448974841/518400, 1185841277/2073600, 
  212637211/2073600, 0, -27/32, 9849653/6144, 0, 7/12, 0, -231/128, 
  -584933011/2073600, 12589/3456, 20497/23040, 27/32, -3619931993/1036800, 
  -7/12, 593882611/691200, 7831212197/4147200, 9401611/172800, 
  -2381474477/864000, 750851053/414720, 431768311/829440, 3622049/6912, 
  -54336901/13824, -773761/864, 128926489/51840, 433745/2304, -30533/1728, 0, 
  -364985/1152, -487/192, -53/216, 1423/432, -69130811/81000, 
  -9401611/172800, 69130811/81000, 0, -4141/144, 443743/10368, 
  2381474477/864000, -448927/10368, 487/192, 61/24, -191/36, -61/24, 
  -3263/1152, -1255/576, 61/4, -1147/576, 67/16, 16433/1728, 433745/2304, 
  763/192, -20351/864, -295573/9216, 905/72, -362057/1152, 10169/1728, 
  -61/24, -63995/576, -343793/13824, 9/4, -24763/4608, 5965/108, -74335/1152, 
  -257645/2304, -766147/4608, -347321/13824, -31001/3072, 21961/864, 33/4, 
  218687/1536, 1221215/13824, -150133/3456, -396349/3456, 0, -1449779/172800, 
  0, 68475229/5184000, 0, 865979/172800, -68475229/5184000, -161/216, 
  96104566199/6220800, 1639/432, -96104566199/6220800, -4213/144, 
  363457/86400, -123681143/184320, -31925171/7776000, 4170701/46080, 
  85663/1728, -68948349511/12441600, 8947723/10240, -462167/5120, 
  -3736239/20480, 177750924629/6220800, 143281330061/8294400, 
  -2430902377/1728000, -114301495081/4976640, -344885/4608, 144019/28800, 
  -67983509719/2073600, -274310790451/12441600, 42387829/7776000, 
  -3806393429/10368000, -307237/57600, 95428362341/2488320, 
  67977644077/1382400, 3786597479/10368000, -168613143571/6220800, 
  178121019029/6220800, 48148062887/2764800, 775524859/576000, 
  -114804356641/4976640, -211193/4608, 0, 4797779/345600, 
  -135680397713/6220800, 0, -56505229/10368000, 0, -6639779/345600, 
  68071996567/1382400, 27921229/10368000, -341140812077/12441600, 2479/864, 
  190699208383/6220800, 2107/432, -129997881517/3110400, -7769/144, -587/512, 
  17023/384, 5725/1152, 1361/768, 1435/768, 971/256, 55615/2304, -4451/1536, 
  -1237/192, 187/32, 28223/2304, 73955/9216, -11983/216, -67205/1728, 
  5725/2304, -279/32, -51187/4608, 422027/6912, 1663/384, 897/256, 
  -9121/1536, 10343/512, -8939/3072, -2611/1536, 2077/288, -52807/2304, 
  -282173/9216, -5071/216, 7123/1728, 5725/2304, -3209/288, 13557/512, 
  124715/6912, 3197/1152, -2149/256, -3927/512, 68467/4608, 236075/27648, 
  351/512, -11024117/92160, -65480443/414720, 3907559/13824, 
  158531683/276480, 19126367/1244160, -51332303/69120, 4567867/34560, 
  -5918807/27648, -2373677/34560, 905/432, -2428867/18432, -257756599/414720, 
  -34391303/207360, -57971209/414720, 1046929/4608, -193/96, 649/48, -44/3, 
  146653/1152, -59/4, -66419089/414720, -232157/1152, 94277329/414720, 
  -193469/432, 973/192, 429337/864, 1219/192, 166764179/103680, 116741/1152, 
  -46851155/27648, -19891/54, 177703979/103680, 0, 2527/96, 0, 1835/72, 0, 
  -415/36, -5683/144, -4547/144, 635/36, -2492154121/8294400, 
  -293563199/829440, 6043661/24576, -4182787289/12441600, -67342633/552960, 
  -1122493/155520, -19163/1152, 10561117/207360, 8233627/414720, 
  546053/103680, -5533357/138240, -75949/103680, 185653/11520, -303949/5184, 
  2736737/207360, 65779/3840, 42360917/829440, -919839379/2073600, 
  265730131/1658880, -16285571/311040, 0, -3047/256, 9268267/414720, 0, 
  -1562951/103680, 0, 50167/1152, -27197/648, 831251/51840, -31981/3840, 
  46593731/829440, -14514001/69120, -634521943/4147200, 47391227/165888, 
  309338353/1244160, 877481/2560, 172375373/207360, -9263/1152, 
  -58961051/34560, -327926209/414720, 18333679/11520, -8105395/13824, 
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  -4677713/9216, 203116007/207360, -79489/4608, 855081/5120, 
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  102653971/82944, -1396608107/829440, -17501527/15360, -37467775/82944, 
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  -321269/3456, -15041323/276480, -135125807/138240, 602239/6912, 132989/864, 
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  -171156701/276480, 4396307/92160, 5/12, -125/384, -22561/6144, 
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  -3545/192, -2513/144, 178423/4608, -22903/1536, 7506169/82944, 
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  -78173293/414720, 5146447/207360, -29953/576, 2351/192, 2483557/23040, 
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  -620223859/829440, 28055/18432, -1106183/6144, -999959/3456, 119/384, 
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