{{1, 1, -1/2, -1/4, 1/4, 1/2, 3/4, -1/2, 3/4, -1/4, -1/2, -1/4, 1/4, -1/4, 
  -1/4, -1/4, 1/8, 1/2, -1/4, 3/8, 1/4, 1/4, -1/4, -1/4, -1/4, -1/2, 7/8, 
  3/8, -1/2, 1/4, 3/2, 19/8, -1/4, 1/8, 1/8, -1/8, 3/16, -1/16, 1/4, -1/4, 
  -3/16, 1/8, -1/16, 3/16, -1/8, 1/8, 1/8, 1/16, -1/16, -1/16, 1/4, 1/8, 
  -1/8, -3/16, -1/4, 1/8, -1/4, 1/8, 3/16, 1/8, -3/16, -3/16, 1/4, 3/8, 
  -5/16, -11/16, -1/2, -7/16, 3/16, -1/4, 3/8, -1/8, 1/4, 1/4, -1/4, 1/4, 
  -1/4, -1/4, -1/4, 3/4, -3/8, 5/4, 3/4, -5/4, -1, 7/8, -1, -7/8, 1/4, 1/4, 
  1/4, -1/8, -1/4, 1/4, -1/8, -1/4, 3/4, -1, -1, 1/4, 1/8, 1/8, 1/16, -1/16, 
  1/8, -5/16, -1/16, -1/16, 3/8, 1/4, -3/16, -5/8, -1/2, -7/16, -1, 1, -1, 
  -3/2, 3/2, -1, 1, -1/2, 1/4, -1, 1, 1, 1, -3/2, -1/2, 1/2, -1/2, -1/2, 1/2, 
  -3/2, -3/2, -3/2, -9/8, -15/8, 3/2, 11/16, 5/4, 7/4, 7/4, -7/8, -3/2, -2, 
  -1/2, 1/2, 7/8, 1/8, 3/16, 1/8, 11/16, -7/8, -1/2, 1, 1/2, -1/2, -1, 1, 
  -5/2, -5/2, 1, 1/2, -5/2, -1, 1/2, 1/2, 3/8, -3/4, 9/8, 1/2, -1/8, -7/8, 
  1/4, -1/4, -3/4, 3/4, -1/2, 5/4, -1/2, 1/2, -1, -3/4, 1/2, 1/2, -1/2, -3/4, 
  -1/2, -1/2, 3/2, -3/4, 1/2, 21/8, 5/2, -95/32, -2, -3/4, -5/2, 17/16, 7/8, 
  -17/32, 7/8, -5/4, -1/4, 1, -5/4, 23/16, 1, -1/4, -3/4, -1/2, -3/4, 1/2, 
  -1/2, -1/4, 1/2, 1/4, -1/4, -1/4, -1, 11/4, 15/4, 5/4, 3/4, -1/2, 15/4, 
  9/4, -9/4, -9/4, -1, 1/4, -9/4, -1, -1/2, -11/2, -39/4, -3/2, 39/4, 11/2, 
  -3/4, 1, -1/4, 1, -1, -1/2, -1/2, -5/4, -1/4, 1/4, -1/4, 1/4, 1/4, -3/4, 
  3/4, -1/2, -5/4, 2, 3/4, 3/2, -1, 1/4, 3/2, -7/4, -2, 3/4, -3/4, -1, -3/4, 
  -1, -3/4, -3/4, -1, 3/4, 1/2, 3/4, -3/4, -9/4, -5/4, 1/4, -1/2, 1/2, -1, 
  1/8, 5/16, -3/16, -5/4, 23/16, 1/2, -1/16, -1/4, 1, -3/4, -121/64, 67/64, 
  1/2, 5/4, 3/16, -15/16, 1/2, 1/2, 11/64, 1/8, 7/8, -1/4, 1/4, 3/4, 5/2, 
  1/4, -1/2, -2, 1/2, -1/2, -17/2, 3/4, 35/4, 1/4, 1/4, -7/8, 7/8, 23/8, 
  -9/4, 3/2, -3/4, 1, 1/4, 2, 1/4, -11/8, 1/2, 1/2, -1/8, -1/2, -33/2, 1/4, 
  -1/4, 147/8, -3/4, -1/8, 1/4, -1/8, -5/8, 1/4, 1/4, 1/2, 1/2, -3/4, -5/8, 
  -1/2, 1/8, -1/2, 11/8, -7/8, 9/4, -17/8, -3/8, -3, 3/4, 3/4, -1/2, 23/8, 
  -2, 15/2, -69/8, -31/8, 35/8, -29/8, -57/8, -55/8, 3/8, -1/2, -9/16, 
  -11/16, 1/2, -1/8, -1/4, 23/16, -3/16, 11/8, -1/16, 1/8, 1/2, -19/16, -1/2, 
  1/8, -43/8, -8, -1/8, -25/8, 1/8, -15/8, 91/8, 41/8, 1, 11/8, 41/8, -7/2, 
  3/2, 43/8, -1/4, 15/16, -5/16, 1, -23/16, 5/16, -3/4, 1/2, 9/8, -11/8, 
  -15/16, -9/8, 5/16, -1/8, -2, -1/16, 3/8, 7/8, 1/8, 21/8, 25/8, -5/2, 
  -15/8, 35/8, -7/8, -53/8, -21/8, 103/8, 12, -25/4, -115/8, -35/8, -1/4, 
  -5/16, 1/2, 5/16, -1/4, 1/4, -1/8, -15/16, 1/8, -5/16, -1/8, -9/8, -1/16, 
  -3/8, 7/8, -1/8, 89/16, 5/8, -21/4, -1/4, -1/2, -13/8, -23/8, 5/8, 8, -1, 
  -81/8, -27/4, 1/2, -3/4, -1/8, -1, -11/8, -15/8, -1/4, -3/8, -1/8, 1/4, 
  -3/8, 3/2, -1/2, -2, -11/8, -1/4, 3/8, -3/8, -1/8, 1/4, -3/8, 9/8, -1/2, 
  -2, -11/8, 1/8, 1/8, 1/2, -1/4, -1/4, 1/8, -7/8, -1/2, 1/4, 3/8, 5/4, -1, 
  -1/4, -1/4, 1/4, 11/16, -15/16, -15/16, -1/4, 3/4, -3/4, -3/4, -1, 1, 1, 
  9/8, 9/16, -3/8, -1, -9/16, 1/4, -1/2, -1/4, -17/16, -1/2, 1/4, -1/4, 1/16, 
  -1/4, -1/2, -3/8, -3/4, 1, 1, -1/2, -3/8, -3/8, 3/4, 1/4, -15/16, -3/8, 
  5/8, 9/16, -1/8, 11/8, 7/8, -3/8, -3/4, 1/4, -9/16, -5/4, -1/4, 1/8, 1/2, 
  5/4, 1/8, -3/4, -9/8, 3/8, -9/4, 3/8, -11/8, 1, -3/2, 3/4, 1/8, 3/8, -3/8, 
  -1/4, 15/16, 1/8, -3/4, -1/4, -13/16, 1/2, -5/8, -15/16, 3/8, -7/8, 1, 
  -1/4, -3/16, -3/8, 1/2, -1/8, -1/4, -3/8, 1/2, -1, 1/4, -3/4, 19/4, -1, 
  -45/8, 1, -1, 33/8, 3/4, 5/16, -1, -5/16, 1/4, -5/128, 5/16, 69/128, 1/2, 
  -67/128, -1/64, -1/8, -1/16, 1/16, -1/4, -1/4, -1/8, -3/2, 21/16, -3/16, 
  3/4, -1/4, -1/4, 17/16, -3/8, -5/16, 1/4, 5/8, -3/16, 5/16, 1/8, -3/8, 3/8, 
  -59/8, -3/16, -7/16, 1/16, -1/2, -5/4, 27/16, -1/4, 1, 5/8, 5/16, 19/16, 
  -11/16, -17/16, 3/16, -15/16, -3/8, -39/16, 1, -23/16, 1/2, 7/16, 1/16, 
  1/8, -3/4, -5/16, 17/16, 5/16, -7/16, -1/8, 3/8, 3/16, -5/16, -1/4, -7/16, 
  5/16, -3/4, 5/16, 1/8, 1/8, -1/4, 7/16, 1, -15/16, -3/4, 1/2, 1, -1/4, 
  -1/8, -11/8, -3/8, 3/16, -1/16, -3/4, 5/16, 5/8, -1/8, 1/16, 1/4, -5/16, 
  -4, -1/4, 7/4, 4, 3/16, -9/8, -1/16, -7/8, 79/16, -1/4, -49/8, -1/8, 3/4, 
  1/8, 1/2, -1/8, 1/8, 35/8, 1/4, 29/8, -3/16, -3/4, 3/8, -35/8, 1/4, 11/16, 
  -1/2, -7/16, 15/16, 1/8, -3/16, 1/16, -1/4, 1/8, 1/16, -1/4, 1/16, 3/8, 
  -1/2, 3/16, -5/4, 5/8, -9/16, 7/16, -1/8, -1/4, 1/8, 1/8, -1/8, 3/16, 3/8, 
  -1/4, -3/8, 1/8, 5/4, 1/2, -1/16, -1/8, 1/4, 1/8, -3/8, -1/16, 15/16, 1/16, 
  -1/8, -11/16, -1/8, -15/16, 5/16, -1/4, -3/8, -17/16, 1/16, 5/16, 1/4, 1/2, 
  -1/2, -3/4, 3/8, 3/4, 1, -1, 5/2, 1/4, -1/2, 1/2, -1/4, 3/4, 3/4, -3/4, 
  -3/4, -7/8, -3/2, 3/2, 7/8, 15/8, 43/16, 45/8, 8, 10, 4, -21/8, -3/8, 1/2, 
  -7/2, -19/4, 13/8, 17/8, -123/32, 33/8, -75/32, -3/2, -2, 1, 143/32, -1/4, 
  1/2, -1, -3/2, 1/2, 3/4, 1, 1/2, -1, -1/2, 1/2, 1/4, -3/2, 135/16, 5/8, 
  -345/32, -113/32, -7/16, 203/16, -1/4, -3/8, -5/4, -3/4, -25/4, 29/16, 
  153/32, 451/16, 59/32, -151/16, -175/16, 125/32, -111/16, 587/32, 31/32, 
  -37/16, 69/4, -239/32, -3/2, -2, -9/8, 3/2, 3/4, -1/4, -3/4, -21/8, 47/16, 
  5/2, 3/16, 59/32, -4, -6, -1/2, -3/4, -2, 11/4, 3, 20, 4, 4, 15/2, 5, -15, 
  15, -133/12, 11/2, 181/12, 19/4, -553/12, 667/12, 183/4, 1/4, 179/4, -7/2, 
  -7/2, -1/2, -3, -8, 1/2, 1/2, 27/2, -27/2, -27/2, 5/2, -13/2, -4, -11/2, 
  -7/2, 4, -1/4, 1/2, -1, 3/4, -1, -15/4, 12, -7/2, 249/2, 449/4, -1/4, 3/2, 
  2, 1/2, 15/4, -27/4, -108, -7/4, -19/4, -12, -5/2, -6, -17/2, -8, 9/2, 
  -15/4, -3/4, -9, 5/2, -3/4, 9/4, -3, -23/4, -4, -3/2, 5/4, 2, -5/4, -1/2, 
  -15/4, 15/4, -21/4, 4, 1/4, -13/4, -9/2, -4, 3/4, 5/4, -3/4, 5/8, -5/4, -1, 
  -1/4, -1/4, 113/64, 27/16, -303/64, 5/4, -113/32, -117/64, 515/64, 117/32, 
  -1/4, -9/8, 9/64, -1/16, -1/8, -7/8, 5/8, -47/12, -39/32, 5/2, 5/4, 13/8, 
  107/32, -1/8, -161/32, -15/8, 37/16, -71/16, 37/16, 27/4, -249/64, 95/16, 
  1017/128, -21/64, 959/64, 15/32, -5/2, 229/32, 25/32, -513/64, -139/64, 
  -19/16, -225/128, 889/128, 13/8, -9/64, -81/32, -967/64, -2867/128, 755/64, 
  -2, -39/64, -23/64, 133/128, 191/128, 845/128, 525/64, -323/64, 2339/128, 
  1241/64, -1, 3/4, 7/8, 1/8, 71/64, -7/4, -1, 775/128, -503/64, -45/4, 
  129/32, 1423/64, 423/64, 5/2, -2, -1/8, 5/2, -39/16, -1, -3/8, 1/4, 5/4, 
  5/8, -3/8, -1/16, -7/4, 1/2, 2, -3, 23/32, -53/64, -121/32, 1/8, -3/16, 
  143/64, 15/16, 1/2, -3/2, -139/64, 3/16, 2, 9/4, -235/64, 127/64, 5/8, 
  29/32, 3/2, -1/4, 1, 13/32, 15/64, -1/2, -5/8, -1, -1/6, -11/24, 1/2, 
  23/24, 31/4, 43/12, 7/8, 17/24, -5/8, -29/24, -7/6, -23/4, 11/2, 27/4, 
  115/12, 3/2, -2, 21/8, 1/2, 3/8, -3/2, -7/6, -1/8, 43/4, 9/8, -33/2, 
  109/12, -1/2, 3/4, -2, -1/4, -27/4, 5/8, 31/4, -63/8, -3/4, -41/4, 15/2, 
  -5/4, 3/4, -2, -1/4, -27/4, -49/8, 31/4, -69/8, 1/4, 11/8, 25/2, -3/4, 1, 
  3/4, -1, 1/4, 3/4, 3/8, -1, -3/8, 29, -37/3, 15/8, 401/24, -6, 2, -9/8, 
  25/4, -23/4, -5/4, -111/4, -111/8, -99/8, 1205/24, 35/24, 21/8, -93/8, 
  -21/8, 73/8, 1/4, 89/4, -33/4, 145/8, -31/24, 7/8, 9/8, 7/4, -33/8, -7/4, 
  5/2, 13/8, 8, -2, 53, -217/8, 1/2, -1/2, -3/4, 3/4, 3, -15/4, -1/2, -19/24, 
  1/4, 35/6, 23/4, 11, 37/4, -3/4, -41/6, 85/12, -2, 79/12, 13/4, 10, 113/24, 
  3/4, -1, 1/4, 23/48, -19/36, 3/2, 15/8, -2, -15/8, 1/2, -73/16, -113/48, 
  161/48, 335/144, 1/4, -1/4, 5/2, -15/4, -27/16, 27/16, 27/16, 3, 3, -13, 
  3/4, 3/4, -1/4, 3/2, 13/4, -27/4, 3, 3/4, 1, -9/2, 1/4, 1/4, 18, -4, -13/8, 
  -3/2, 3, -9/4, -15/4, -6, 9/2, 6, -5/4, 5/2, -23/4, -21/2, 21/2, 47/4, 3/8, 
  3/4, -3/8, 9/8, 3/4, 9/8, -21/8, -3/8, -11/16, -37/16, 3/2, 43/16, -3/8, 
  -5/2, 7/16, 2, -21/16, -5/2, 3/4, 149/32, 215/32, 31/32, 9/4, -11/8, 
  -107/16, -27/16, -3/4, -11/8, 3/4, 165/32, 227/32, -39/32, 61/16, -11/8, 
  -49/8, -27/16, 15/8, 41/16, 3/16, -3, 11/4, 1/4, 19/4, -49/18, 43/24, 
  -25/24, -1/4, -3/4, -1/4, 3/4, 1, 1/4, 37/48, 17/6, 1/2, 155/32, 1/4, 3/8, 
  1/2, 3/4, -11/8, -1, 3/8, -1, 4, 149/4, -4, -5/4, -147/4, 1/2, -1/4, 1/4, 
  -1, 19/4, 301/8, 3/8, -1/4, 1, -15/4, -75/2, -1/4, 3/8, -5/2, -287/8, -1/8, 
  1/2, 27/4, 35/8, -29/8, -25/4, -3/4, -5/4, 1, 5/4, -1/4, 3/8, 9/4, -3/2, 
  -5, -11/4, -11/8, 1/8, -1/2, 59/8, 1/2, -8, -2, 8, 2, -39/4, -8, 13/4, 
  21/2, 31/4, -31/4, -13/2, 5/8, 5/16, -5/8, -205/32, -679/96, 1/4, 59/32, 
  43/24, -33/16, 19/48, 125/16, -1/12, -5/3, 29/16, -7/6, -25/6, 3/4, 1/4, 
  13/3, 5/12, -19/4, 1/3, 3/8, 1/4, -7/16, 1/4, -1/16, 19/48, 11/12, -43/144, 
  1/4, -1/4, 3/4, -3/4, -1, 1, 1, 203/288, 1/4, 11/8, -5/8, 1/2, -25/64, 
  -1/2, 233/192, -133/192, -3/2, -1/4, -4/9, 1/4, -73/192, 215/192, 1/16, 
  -913/576, -19/48, 137/288, -133/64, -11/4, 533/192, 73/16, 1/4, -1/2, -1, 
  97/64, 1, -129/64, -9/8, -1/2, 33/32, 83/64, 5/16, 39/64, -7/4, 1/4, 
  -17/32, -1/2, 7/4, 31/64, -23/32, 41/32, -11/32, -17/64, -91/32, -13/32, 2, 
  -8, -193/32, 373/64, 6, -1/2, -15/8, 1/2, -171/32, 9/4, -1/2, 235/64, 1/8, 
  1/4, -187/64, -3/8, -179/64, 37/16, 13/32, 297/128, 405/128, 105/64, 
  273/64, 5/8, -57/64, -195/64, 1/4, -93/128, -631/64, 125/64, -431/128, 
  -137/64, -527/64, 19/4, 31/64, 7/4, -1/4, 1, -3/8, 19/32, 39/32, 83/32, 
  -163/128, -3/8, 115/128, 89/128, -7/8, -21/8, 15/16, 21/8, -1/16, 125/128, 
  1/3, -1319/384, -1, -731/1152, 5/32, 1/8, -17/8, 9/8, 33/16, 3/8, -9/16, 
  1/2, 5/16, 189/128, 97/64, 57/128, 1/4, 1/4, 1/128, -1/8, -3/16, -1/2, 
  -5/4, -11/16, 3/4, -123/64, 1/16, 11/16, -1, -3/2, -27/16, 2, -13/8, -1/2, 
  1, 7/4, -1/2, 1/2, 5/2, 2/3, -29/24, 2, -1/8, -5/6, -11/8, -5/16, -4, 
  -121/48, -13/6, 2, -217/48, 8, 143/12, 13/6, -47/6, -2, 29/8, 59/6, 55/8, 
  -5/8, -11/16, 3/8, 41/32, 93/32, 61/32, 23/16, 7/16, -41/16, -21/16, 9/8, 
  -1, -1/8, 15/8, -1/8, 41/8, 7/8, -5/8, -1/4, 41/24, -13/12, 3/8, -1/2, 1/4, 
  -1/2, 7/16, 7/12, -1/16, -13/48, -11/12, 7/144, 1/4, 1/8, -1/3, 65/8, -1/8, 
  -1/16, -1/8, 1/16, 3/8, 29/16, -23/16, 9/2, 29/8, 5/4, -29/8, 17/8, 1/4, 
  -2, -7/4, 9/8, -57/16, -51/8, -33/16, 2, 1/4, 45/16, -9/8, -7/8, 13/2, 
  417/16, 93/8, -3, 27/8, 53/16, -117/8, -11/4, -101/8, -11/8, 153/16, 161/8, 
  25/8, 1/2, -1, 9/8, -13/16, -13/8, 7/8, 19/8, 5/8, -11/8, -1/4, 1/4, -1/4, 
  1/4, -5/8, 1/2, -1/16, 1/4, 1/8, -5/16, -3/8, 3/8, 7/8, 5/4, 3/8, -1, -1/4, 
  -1/8, -27/16, 3/8, 141/32, 2221/288, -11/32, -19/18, 11/16, 5/48, -117/16, 
  -1/24, 49/72, -5/16, -5/24, -47/36, 9/8, -3/8, 37/8, 5/24, 4, -3/2, 
  -415/72, 21/8, 1/2, -1/8, -1, 1/8, 1/2, 1/4, -3/16, 11/12, -7/8, -25/24, 
  1/4, 5/16, -71/144, 91/48, -83/144, -7/8, -13/2, 1/4, 113/16, 1/8, 113/16, 
  91/16, -57/16, -8/3, -7/8, -171/8, 1/8, 87/8, -37/8, 3/8, -1/8, 3/4, -15/8, 
  -3/2, -3/2, 5/2, -11/8, -1/4, -19/8, 13/8, 3/8, 37/16, -1/2, 69/16, 4, 
  -1/4, -29/16, -3/2, 63/8, -17/4, -73/8, 11/4, -81/8, -55/8, 127/8, 10, 
  -91/8, -49/8, 33/4, 1/4, 3/8, -9/32, 3/32, 3/8, 65/32, 21/4, 25/16, -19/16, 
  -1/4, 3, -21/16, -73/16, 17/16, -51/16, -43/32, 43/32, 59/32, 13/32, -7/8, 
  -1/8, -3/4, 7/16, -27/16, 59/32, -127/32, -11/16, 2, -3/4, 43/72, 3/8, 1/8, 
  -437/144, 27/16, 43/48, 181/72, -169/144, -2, -3/2, 3/2, 39/16, 71/16, 
  -87/8, -19/8, 1, -1/2, 1/2, -1/2, -13/16, 5/4, -205/16, 25/16, -21/2, 15, 
  -21, 1/4, -1/2, 1/2, 8, -28, -2, -16, -8, -61/4, -125/4, -887/32, 783/32, 
  2225/32, -223/32, -3851/32, 99, 9741/32, 17/32, -15/4, -1, -11/16, -161/8, 
  305/8, 243/8, -1045/8, -215/2, -5/2, 1179/8, 279/8, 1/2, -1/2, -5/4, -1/4, 
  5/2, -3, 3/4, 1, -3/4, 1/2, 3/4, -3, 423/4, 31/2, -283/2, 59, 77/12, -53/4, 
  -427/8, 167/8, -891/8, 175/8, 891/8, 95, -691/24, 53/8, 1013/8, -175/8, 
  -131/96, -25/24, 37/4, -217/8, 11/2, -109/4, -29/4, 19/16, 5/8, 3/4, -21/8, 
  -131/48, 693/16, -3369/64, 9, -41/3, -75/8, 19/2, 21/4, -37/8, -41/16, 
  53/8, 11/4, 3/4, 5, -467/8, -3453/32, -3/4, -1217/96, 281/96, -1, -325/64, 
  1/8, -615/32, 799/64, 7/64, -7/64, 361/8, -51/4, -1045/8, -159/4, -399/32, 
  -59/32, -987/32, -1419/32, 57/4, 123/16, 401/16, 1179/32, -455/16, -317/8, 
  -195/4, 75/16, 1/64, 475/32, -511/64, -10, 2, -5/24, -55/8, 1/2, -25/48, 
  1/4, 3/8, -1/4, 1/4, 10/3, 49/6, 19/2, 3/2, -3/2, -9/2, -3/2, 255/4, 
  -241/2, -75, -1407/8, 255/8, -241/4, -75/2, -1423/8, 529/16, 407/16, 
  -241/8, -137/4, -3223/16, 251/16, 407/16, -153/8, -137/4, -3925/16, 3, 4, 
  8/3, -4, 1539/16, 603/8, -9/16, 1629/16, 1323/16, -315/16, -333/16, 
  2009/16, 9, -219/8, 6, 63/4, -45/4, -19/2, -113/32, -503/32, 27/4, -587/64, 
  773/48, 471/32, 139/32, 255/32, 2459/64, -1193/128, 211/32, 811/32, 
  1283/64, 269/8, -45/2, -233/96, 1/8, 3/2, 1907/384, 3/8, -173/128, 7/4, 
  -15/8, 1/8, -5/64, 333/64, -575/288, 21/4, -1, -1/2, -2, 1/12, 3/4, -1/16, 
  3, -1, 1/2, -5/3, -75/16, 167/12, -15/2, 241/8, -51, -178/3, -245/4, 
  -225/4, 8, 1403/16, -223/16, -47/4, 229/8, 547/16, -449/24, 11/8, -73/12, 
  -3/4, -101/2, -299/12, 199/4, -1/4, -5/4, 271/24, -23/3, 61/4, -779/8, 
  -271/24, 381/8, 3/8, 81/8, -3/4, 25/8, 1, 2, -9, -225/4, -7/8, -3/8, 105/8, 
  -11/4, 3/2, -23, -21/8, -411/8, 111/2, 619/24, 141/8, 707/12, -63/4, -33/8, 
  75/8, -737/8, 74/3, -9/2, 149/8, -287/24, -149/8, 407/24, -203/8, 42, -3/2, 
  49/8, 67/6, -69/8, -341/24, 487/24, 3, 35, 61/2, -4, -35, 1, -155/8, 
  -1009/12, 4333/48, 5341/144, -27, 101/2, 361/16, 2137/48, -27/4, 27/16, 
  -9/8, 9/4, -3/8, -87/16, -33/8, 9/8, 1/2, 31/16, 105/4, -105/4, -107/4, 
  9/8, 29/16, -5/16, 19/8, 3/64, 4/3, -83/24, -857/192, -8345/1152, -23/48, 
  417/32, -1669/288, 1705/288, 139/96, -2, 3/2, -469/64, 2, -43/32, -205/64, 
  -119/16, -29/8, 63/16, -9/16, 173/128, 709/384, 10205/1152, -19/192, 
  7211/576, -311/16, 51/64, 2009/64, 53/16, 1159/192, 1579/64, -353/24, 
  -17/48, -75/4, -17/6, -1563/64, 3911/64, -1403/192, 93/32, 513/64, -547/64, 
  -921/128, -299/64, 1341/64, 267/128, -843/128, -4301/128, -769/32, -3, 2, 
  -3/4, 63/64, -3/4, -13/64, 365/32, 15/16, -299/64, -1/16, -7/4, 15/8, -1/8, 
  125/64, -1205/192, -695/576, -21/4, 165/32, 317/48, 3/8, -15/16, -17/8, 
  -31/32, 43/64, -27/16, -9/4, 87/16, -901/128, 51/16, 281/96, -19/8, 3/8, 
  5/48, 1/4, -19/16, -677/192, -81/64, 11/8, 99/64, -15/64, -11/16, -113/64, 
  -11/16, -903/128, 373/192, 109/128, -3035/384, 1423/64, -39/64, -151/16, 
  -1063/24, -95/8, -37/32, -33/8, -45/8, 33/2, 1869/64, -35/2, 89/16, 
  -331/32, -271/8, -359/128, -117/8, 1277/64, 85/64, 755/64, 213/16, -141/16, 
  -9/4, 3/8, 4, 7, 79/32, 2201/128, -19/8, -1543/128, -525/128, 57/32, 
  -103/32, -89/32, -67/64, -49/32, 13/4, -13/4, -107/64, 1799/192, -1415/192, 
  21/4, 1/2, 19/6, -1/18, 1/2, -143/18, -5/24, 5/24, 23/24, -3/4, -1/16, 
  23/24, 5/6, 51/16, -359/24, 117/16, 25/8, -31/6, 11/12, -7/16, -15/16, 
  -41/24, -9/8, 671/48, 63/16, 33/2, -473/48, 97/6, 9/8, 27/8, 5/4, -25/8, 
  -2, -3/4, -3, -5/8, 165/32, 427/32, -3, 47, 169/8, -70, -3/8, 1/8, -125/4, 
  129/16, -1331/12, 299/32, 121, 123/16, -3763/96, -6, -51/16, -99/16, 11/2, 
  487/24, 1/2, 379/48, 571/48, -403/24, -623/72, 31/16, 95/16, -35/2, 
  -187/18, 47/4, -2, -55/16, -19/32, 29/8, 83/32, -7/4, 85/16, 41/24, -47/8, 
  -161/24, 13/4, 13/4, 3/4, -77/16, -123/16, -61/16, -1, 1/12, 17/3, 13/18, 
  -9/16, 53/16, -1, 21/16, -195/32, 39/32, -35/16, 7/16, 1/4, -17/8, 423/32, 
  -119/16, 3/2, 118/3, 2749/32, 1933/96, -239/16, 35/8, -1375/96, 1/16, 
  1657/48, -71/24, 37/12, -2227/48, -2953/48, 3, 3, -33/4, -23/4, -3/4, 
  -95/24, 29/6, -17/12, 115/36, 137/6, 15/4, -299/8, -413/24, 211/4, 27/8, 
  -13/4, -15/4, -1421/96, 95/32, 1607/96, -113/12, -47/24, 175/12, 65/36, 
  9/4, 9, -927/32, -765/16, -705/8, 27/4, 323/8, -69/4, -955/16, -5, 
  -2031/16, 81/8, -795/16, 201/2, -25/8, -9/4, 1479/64, -791/32, -17357/128, 
  -2161/32, -3009/64, 151, 545/64, 939/16, -8851/64, -465/64, 1563/32, 
  -1891/32, 3345/64, -195/2, -8725/48, 225/16, 8101/48, 1695/8, -423/8, 
  345/8, -23/4, 205/4, -191/8, 123/4, 35/8, -165/8, 959/16, 535/6, -801/8, 
  3353/24, 2087/16, 1225/16, 1853/32, -249/8, -583/16, -613/16, -1375/8, 
  1181/32, 1841/32, -141/8, 19517/192, -29513/192, 3343/32, -1823/192, 
  -1503/16, -43759/192, 63/8, -155/8, 7499/192, -9/4, 1371/64, 2427/64, 
  -285/64, -147/8, 1965/64, -159/16, 15/8, 379/16, 773/96, 49/16, -223/32, 
  507/32, -473/64, 65/64, -753/64, 5475/64, 6053/32, 1391/16, -6489/64, 
  -1485/16, -2645/32, -3013/32, 4165/64, 445/16, 1711/16, -239/32, -89/12, 
  -13531/96, 653/32, 43/8, 69/4, -205/12, -241/12, 1885/64, -1067/32, 97/2, 
  28867/384, -10077/64, -1985/16, -109, 1453/32, -56661/64, -1, -1/4, -5/4, 
  3/4, 3/4, -3/4, -3/4, 1/4, -5/8, -5/8, -13/8, 1/2, -3/8, 9/8, 1/2, 1/8, 
  -1/4, 1/8, 1/8, 1/8, 1/2, 1/2, 1/4, 9/16, -3/8, -5/8, 1/4, -13/16, -3/8, 
  -1/4, -3/16, 7/8, 1/16, 3/8, 1/2, -5/8, 1/4, 1/2, -1/2, -1/4, -7/8, -5/4, 
  9/16, -3/8, 5/16, -1/2, 9/32, -15/32, 3/16, -1/2, 9/16, 13/32, -3/8, -1/32, 
  -3/16, 1/32, -9/32, -5/16, -3/32, 1/4, 3/16, -1/4, -3/32, 3/32, 1/8, 11/32, 
  3/8, -1/4, 1/2, -1/32, 5/32, 1/4, 11/16, 3/8, 5/16, -5/32, -3/8, -1/32, 
  11/32, 1/2, -7/16, 5/32, 9/16, -15/16, 3/8, -1/8, -1/8, 5/16, 1/8, -3/8, 
  -1/2, 3/16, 1/2, 1/16, -3/4, 3/4, -5/8, -5/16, 7/16, 7/16, -13/16, 1, -7/8, 
  1/16, -1/8, -9/16, 5/16, 3/8, -1/8, -1/2, -3/8, 1/2, -5/16, -5/16, 7/16, 1, 
  1/16, -1/16, -9/32, 5/32, -3/32, 3/16, -1/4, 5/16, -1/8, 9/32, -5/32, 
  -7/32, 3/8, 3/8, 1/2, -7/16, 1, -1, 1, 7/12, -49/12, 9/2, -5/2, 5, -40, 
  -7/2, 35, -1/12, 1/24, -19/24, 19/48, -1/4, -1/2, 1, -1/2, 5/4, -1/2, 3/2, 
  1/2, -1/2, 5/2, -1/4, -17/24, 17/48, 1/6, 13/8, 13/8, 29/8, 41/6, -251/48, 
  -27/32, -7/2, -73/24, -73/24, 21/16, -1/4, 1/4, 5/4, 3/2, 1/4, -1/4, 
  -83/24, 5/6, -15/32, 5/6, -27/32, 21/16, 5/4, -5/4, -3/4, 3/4, -1, -9/4, 
  3/2, 7/2, 13/4, -5/4, -3/2, 9/4, 1/4, -1/4, -1/4, 1/48, 1/4, -1/24, -11/96, 
  13/6, -251/192, -41/16, 17/24, 229/96, 1/2, -1/8, -15/4, 1/8, -3/2, -1/4, 
  3/8, -7/8, 7/8, -3/8, 1, 1/4, -1/2, -3/8, 1/2, 1/2, 1/2, -1/4, 5/8, 1/4, 1, 
  -5/8, 1/2, -231/32, -219/32, 2513/384, 4, 49/16, 649/96, -355/96, 59/96, 
  11/96, -11/8, 59/96, -83/128, -11/8, 11/3, 7/6, -43/16, 11/3, -641/192, 
  -43/16, 5/8, 9/8, 3/4, 3/8, 3/8, -3/8, -1/2, 3/4, -1/8, -5/4, 1/2, -1/8, 
  1/4, -3/8, 1/4, 9/8, 3/8, -39/16, -25/16, -1/16, -3/16, 3/4, -53/16, 
  -39/16, 35/16, 27/16, -17/8, -1/2, 7/8, -17/8, 1/2, 53/16, 2, 31/16, 
  -19/16, 69/16, 83/8, 33/16, -117/16, -11/4, 63/16, -89/16, 13/8, -33/8, 
  33/8, 37/16, -23/8, -39/16, 2, -2, 1/8, 57/16, -57/16, -5/4, -15/8, 
  -121/16, -9/16, 1, 4, -1/8, 7/8, 3/4, 3/4, -63/16, 63/16, 37/8, 1/2, 63/16, 
  37/8, 63/16, 63/16, 63/16, 9/16, -3/16, -1/2, -63/16, 63/16, 77/8, 11/16, 
  -7/2, 33/8, 9/16, 3/16, -1/2, 1/96, 47/96, -3/16, -7/48, 3/32, 655/192, 
  -1/192, -2161/384, -5/4, 1409/384, 13/16, -2, 41/12, 2221/768, -2105/768, 
  -23/16, -655/192, -23/12, 31/16, -1/192, -1/192, -1/2, -1/192, 1/8, -1/16, 
  -1/2, -35/256, -9/4, -43/16, 35/8, -1/4, -115/16, -107/16, -15/8, 49/8, 
  75/16, -3/4, -7/4, 1/2, 39/8, -115/16, -91/16, -1/16, -11/16, 5/8, -5/8, 
  -7/4, 77/8, -1/2, -121/16, 63/16, -67/16, -145/16, 49/16, 115/16, -29/8, 
  -3/4, -9/4, 1/2, 121/8, -9/16, -111/4, 23/16, 1/16, -11/16, 7/16, 3/16, 
  3/16, 19/16, 307/16, -15/8, 5/8, 9/8, -123/32, 113/32, -13/16, -85/32, 
  199/32, -47/16, 9/4, -113/32, -11/32, 123/32, -193/32, 29/32, -151/16, 
  109/16, 155/32, 3/8, -3/8, 53/16, 57/16, 17/64, -1/2, 11/8, -37/64, -17/16, 
  -23/16, 39/32, 1/4, -171/64, -161/64, -45/32, 101/64, 21/16, -1/4, 99/32, 
  19/32, -43/32, 53/32, 387/64, 11/4, 77/32, -13/8, 105/32, -289/64, -141/32, 
  -43/16, 27/32, -79/32, 195/32, -31/8, -101/32, 9/16, -281/64, -9/16, 
  -85/32, 347/64, 9/16, 97/32, -33/32, -15/16, -47/32, 39/8, 11/64, 15/4, 
  -317/64, -37/16, 31/16, 7/32, -69/32, -29/32, 67/16, 25/16, 3/64, -107/32, 
  -49/16, -23/32, -257/32, 327/64, 37/8, 115/32, -239/32, -165/32, 163/32, 
  39/4, 69/32, 3/8, -5/16, -9/32, 5/16, -3/32, -3/16, 33/16, 11/64, -11/16, 
  -139/64, 1/2, 25/32, 7/32, -5/8, -29/32, 45/32, -33/64, -13/64, -95/32, 
  7/16, 19/16, -83/32, 241/64, 37/16, 13/8, -25/16, -69/32, 65/32, 27/8, 
  15/16, -3/8, 15/16, 9/16, 1/2, 1/2, 3/4, 9/16, 15/16, 3/8, -7/8, -7/16, 
  7/16, -5/2, 9/8, 35/16, 1/4, 9/16, -15/16, 15/16, 3/8, -7/8, -7/16, 7/16, 
  -25/16, 9/8, 35/16, 1/4, -1, -1/16, -9/8, 3/4, -5/8, 3/16, 7/16, 11/16, 
  1/2, -17/16, 5/4, -9/16, -3/8, 1, 39/16, 1/8, -1/8, -315/64, 323/64, -3/8, 
  359/64, 1/2, -5/16, 5/16, 5/16, 1, -1, -1, -85/32, -19/16, 57/32, 43/32, 
  19/16, -15/32, 3/8, 1/8, 87/64, 11/2, 201/32, -1/8, 1/2, 17/32, 1/8, 55/32, 
  5/16, -71/32, -1, 55/32, 45/32, 69/32, -57/16, -13/4, 59/32, 57/32, -13/32, 
  -1/16, 3/32, -77/16, -87/32, 57/32, 147/32, -37/8, -243/64, 169/32, 9/32, 
  37/64, -2, -15/4, 5/16, 15/8, 175/32, -3/4, 13/2, -67/32, 81/16, -11/4, 
  7/4, 167/32, -1, -57/32, 57/32, 9/16, -307/64, -3/8, 129/32, 9/32, 327/64, 
  -2, 61/32, 1/16, 307/64, 5/16, 47/32, -1, 1/8, -3/8, 25/64, 5/8, 73/32, 
  13/8, -11/16, 1/2, -5/8, 13/16, 47/32, 15/32, 5/16, -53/16, -29/32, 185/32, 
  -1, 1, -27/32, -1/192, -335/384, -11/16, 43/32, 11/16, -15/32, -1/192, 
  -1653/512, 7/64, 1525/512, -1/4, 1261/512, 3/256, 1/192, 1/32, 7/32, -1/16, 
  25/192, 1/32, 1/4, 163/32, -11/8, -77/16, -1/2, 9/16, -75/32, 75/32, 9/16, 
  -145/64, 3/8, 3/4, 13/32, -3/4, 13/8, -5/8, 13/32, 1/16, -9/16, 1/32, 
  -27/32, 37/16, -4, 1/2, 2, -3/16, -1/8, 11/32, 41/8, -71/16, 3/4, 3/16, 
  47/16, -17/16, -1/32, -1, 5/4, -65/16, -3/8, 19/32, 5/32, 39/8, -15/32, 
  19/16, -1/2, 7/16, -5/16, 1/16, -5/16, 5/2, 17/16, -99/16, -5/2, 267/32, 
  13/2, -303/32, -1/32, -3/8, 133/64, 157/64, 17/16, -609/64, 307/32, 21/32, 
  -41/16, -27/32, 3/8, 9/16, -53/64, -1/4, -85/32, 9/64, 1/4, 97/32, 11/16, 
  -15/16, -43/32, -21/16, 9/32, 149/32, 43/32, -15/32, -95/32, 3/16, 37/32, 
  -5/16, -49/32, 5/16, -9/32, -9/16, 93/64, 97/32, 21/32, -35/32, -3, -15/32, 
  -15/32, 3/16, 21/16, -161/64, -19/16, 23/4, -15/32, -13/16, -1/4, 15/32, 
  -1/16, -11/32, -45/32, -1/4, -65/32, 3/8, 1/4, -5/32, 217/32, -9/32, 
  -65/32, 1/2, -7/16, 25/32, -9/32, 15/32, -3/16, 1/8, -7/16, 1/8, 1/2, 
  -9/32, -11/32, 5/8, -3/8, 21/32, -3/8, 5/32, 7/16, 1/16, 9/16, -5/32, -3/8, 
  5/8, 1/4, 3/8, -5/4, 3/32, 5/32, -5/32, -17/32, -1/2, 3/32, 1/16, -3/2, 
  -7/32, 57/32, 3/32, -297/64, -3/16, 1/4, 115/32, 1/32, 311/64, -57/32, 1/8, 
  5/32, 335/64, 27/16, 3/32, 3/8, -201/64, -1/2, -1/2, 1/2, 5/16, 25/16, 
  -5/16, -1, 1, 1/8, -1/8, -1/12, -3/8, -5/12, 5/12, 3/8, -7/8, -23/16, 
  23/16, 7/8, 11/8, 49/12, -49/12, -11/8, 5, -5, -283/96, -247/48, -403/32, 
  1/4, 3/4, 21/4, -49/4, -33/2, -21/2, -40, 5/48, 35/24, 587/192, 1/24, -1/8, 
  1/24, -1/48, 391/192, 31/6, -121/96, 19/6, 95/48, -287/48, 3575/384, 
  -325/48, 3175/384, 43/12, 21/4, -3/2, -11/24, -3563/384, 1/8, 343/96, 1/2, 
  3/4, -1/2, 1/2, -1, 5/8, -7/2, -19/4, 15/2, 19/4, -9/2, -11/8, 7/4, 
  -1371/64, -9/8, 2131/128, 437/96, 125/32, -4189/128, 7/8, 21/32, 1/8, 
  25/32, 5/24, 391/128, 1069/96, -119/96, -1173/128, 2765/768, -54715/768, 
  -187/128, 32851/2304, 32851/2304, -197/256, 479/48, -12371/256, 935/2304, 
  7235/768, -33499/768, 29495/2304, 5/4, 3/2, 23/16, -5/2, -391/96, -11/16, 
  1/4, 11/16, -1409/768, -4531/768, -6167/768, -3/16, -1081/384, 3/4, 9/4, 
  7/6, 9/4, 5/2, -10/3, -3, 7/4, -25/24, 1, -1/2, 1/4, -1/8, -3/4, 15/8, 
  113/72, -193/8, -7/4, -3/4, -49/4, -5, -71/3, -77/4, 25/72, -11/2, -2/9, 
  -2863/36, 2431/36, 451/6, -1/8, 1891/24, -5/2, 20, 5/2, 11/4, 9/4, 1/4, 2, 
  -3/4, -1, 3/4, 4, 8, -1/4, -1/4, -27, 27, 27, -7/2, 77/4, 6, 11/2, 9/4, -6, 
  371/96, -15/16, 2, -1/4, 2, 63/8, -97/8, 49/8, -1511/8, -1393/8, 1/4, 
  -63/8, -23/4, -1/2, -23/2, 19/4, 345/2, 39/4, 37/8, 7/2, 21/8, -1/4, 15/2, 
  45/8, -213/16, 267/16, -27/8, 295/8, -21/8, -409/16, -335/16, 83/8, -39/4, 
  -67/16, 61/16, 33/4, -1/16, -93/8, 1/16, 27/8, 65/8, -53/16, 21/8, -361/16, 
  -19/8, 3, -7/4, 61/16, -63/16, -19/4, 63/16, -59/16, 19/4, 65/16, 1/8, 1/8, 
  -1/48, -775/768, -41/48, 2875/256, -35/32, 2251/384, -40609/4608, 
  -5297/256, 26089/2304, 1/48, 1/48, 7/16, -7/6, 17/24, -997/768, 9/32, 
  -391/192, -601/384, -319/384, 115/96, 3/8, 4681/576, 579/128, -997/192, 
  -11/3, -1409/192, 19859/384, -313/48, 1823/384, 91/16, -59/96, -4013/192, 
  -1351/192, -133/96, 5293/512, -13957/768, -7573/512, 68125/4608, -9863/384, 
  -3655/1536, 149/24, -21533/1536, -25/32, 7103/768, 853/384, -17/24, 
  -781/512, -2715/256, -33/8, 925/768, 497/512, 24779/1152, 6061/128, 
  -120707/4608, 12697/1536, 2687/384, -307/128, -5623/768, -63521/4608, 
  -6721/512, -149/64, 10307/1152, -31585/1152, -16801/576, 575/192, -63/16, 
  -1/2, -69/16, 21/16, -5675/1536, 39/8, 5593/768, -7291/512, 27397/1536, 
  249/16, -3859/768, -195121/4608, -8119/1152, -149/24, 7/2, 1/8, -149/24, 
  79/12, 21/8, 1/16, -1/8, -65/32, -487/768, -7/32, 13/64, 81/32, -63/32, 
  7/2, -1955/768, 1411/512, 2081/1536, 317/1536, 11/48, 9/64, -6653/1536, 
  -9/16, 6263/768, 11/8, 277/192, 73/384, -15/8, -15047/1536, 4281/256, 
  -13459/1536, 761/384, -3233/768, 679/1536, -15/2, 2411/1536, -5/4, 
  -999/512, -979/1536, 55/16, 3/32, 1135/1536, 65/16, -1/24, 23/24, -11/48, 
  -15/16, -181/36, -517/144, -19/12, 3/16, -31/16, 11/48, 11/24, 173/24, 
  -373/144, -25/4, -985/144, -33/4, 1, 93/8, -7/24, -27/8, -9/4, -51/8, 
  37/12, 3/16, -91/6, -763/144, 1235/48, -139/36, -1/2, 9/4, -49/16, 9/8, 
  -13/16, 249/32, 7/4, -171/16, 101/16, 63/16, -1/2, 21/2, -15/4, 19/4, 
  -49/16, 9/8, -13/16, 249/32, 153/32, -171/16, 275/32, -7/4, -55/16, 
  -163/16, 69/16, -97/16, -69/16, 97/16, -29/8, -69/16, -41/16, 97/16, 41/16, 
  -9/4, 71/2, -319/36, 3/16, 311/72, -17/16, 7/2, 2683/48, 195/4, 375/32, 
  -745/16, -99/4, -149/4, -415/96, 9871/144, 571/36, -19/8, 145/36, -1/2, 
  19/8, 595/288, 3/16, 181/12, 137/96, 205/16, 589/36, -13/4, 41/8, -47/4, 
  45/16, 31/8, 47/4, -135/16, 23/8, 5/4, 107/8, 3353/48, -213/8, 3/8, 1, 5/4, 
  -10, 1, 17/4, -3, 21, 11/4, 17/24, 71/48, 11/8, -5/3, -77/48, -23/16, 
  -259/16, -255/16, 37/16, 151/24, 1/2, -59/12, 395/48, -337/48, -77/48, 
  -1/2, -129/16, -55/6, -11/24, 17/16, -3/4, -61/16, 259/48, -19/12, 
  -9877/1440, -229/216, -31/4, -343/32, 263/24, 343/32, -77/24, 3891/160, 
  3871/360, -7813/360, -13703/1080, -2, -27/16, 89/16, 37/4, 783/80, -227/20, 
  -48/5, 3/8, -27/2, -21/2, -11/4, -1/4, -1/4, 3, -35/8, -15/2, 221/8, 59/4, 
  21, -63/8, -5/4, -309/8, 9/2, -1/8, -113/8, 39/16, 17/32, -369/16, -21/8, 
  153/16, 21/8, 105/8, 171/8, 435/8, 451/16, 137/16, -493/16, 169/16, 
  -127/16, -89/8, -7/32, -69/16, 69/32, -21/4, -63/16, -77/16, 247/32, 15/8, 
  133/64, 65/8, -7/2, -265/24, 13/16, 5, 55/64, -61/16, 103/32, 141/16, 
  -21/8, -267/32, -1649/192, -101/64, -483/64, 39/16, 3379/384, 425/64, 
  37/16, 21/8, -21/8, -31/8, -2045/192, 61/64, -239/16, 39/16, 2425/384, 
  425/64, -39/4, -737/64, -139/32, 67/8, -139/12, 77/24, -83/16, 1039/216, 
  -1511/45, 1331/45, 3/16, -41/16, 75/16, -13/8, -337/192, -5/16, 4177/384, 
  -4663/1152, 15/16, -5/4, -42377/3456, -3/16, 1/8, 3/8, -11/16, -1/16, 11/8, 
  3/2, 1/8, 3/2, -33/8, -225/4, 33/8, 57/16, 223/4, 1/8, 5/8, -11/8, 7/4, 
  -35/8, -911/16, -1/4, -99/16, 1/2, -3/2, 21/8, 881/16, -5/4, 101/16, -9/8, 
  45/16, 117/2, 5/2, -5/8, -63/8, -15/8, 37/8, 53/8, -1/2, 7/16, 55/16, 17/4, 
  -7/16, -85/16, -15/4, 15/8, -113/32, -45/8, 53/8, 231/16, 49/16, 21/32, 
  189/32, -3/2, -211/8, -23/8, 7/8, -19/16, -7/8, 19/16, 87/8, 6, -455/32, 
  -91/8, -29/16, 29/16, 21/16, -37/16, -121/96, 81/32, 89/8, 1235/192, 
  -27/16, -333/64, -35/24, 15/16, 401/64, 41/192, -4853/384, -17/12, -187/96, 
  -137/32, 115/96, 89/48, 21/32, -17/16, -109/32, -7/6, 81/32, -49/48, 5/16, 
  401/320, -5/8, -125/48, -543/160, 103/96, 69/64, -1181/576, 2207/576, 
  1301/864, -1/8, -3/8, 1/2, -5/16, 5/16, 1, -1, -1, -7/4, -37/192, -65/16, 
  1/16, -239/192, -179/1152, 1/4, -625/768, -2593/2304, 9/4, 7/8, 563/108, 
  -1/2, 317/256, -1405/2304, -2869/384, 27623/6912, -77/144, -1411/3456, 
  9713/2304, 395/96, -3313/768, -3275/384, 1/192, -111/64, 65/8, -10, 31/16, 
  -1129/128, 135/8, 253/16, -5425/384, -605/16, 55/96, -193/128, 5, 
  -1075/256, -2265/256, 20663/768, 21/16, -19/8, -275/128, 2, 43/24, -433/48, 
  55/4, -2791/384, -1279/96, 4829/96, -1225/384, -131/64, -4361/768, 305/128, 
  121/48, -3/16, -899/64, -851/192, 155/96, -1/96, -1441/512, 77/16, 1/4, 
  -239/192, 31033/3072, -193/64, 3/2, -2873/1536, -7/16, 215/192, 2711/256, 
  35/32, 475/768, -18013/1152, -127/256, -27/32, -3831/512, -1557/256, 
  -2669/768, -29683/3072, 35/16, 815/192, 9503/9216, -13/16, 2467/384, 
  22409/768, -643/256, 459/64, -21535/4608, 21049/3072, -321/32, -35827/4608, 
  7/4, 1/96, -469/384, -179/48, 59/32, -33/8, 297/64, 109/64, 3933/512, 
  -55/32, -4241/512, -1623/512, 1139/384, 2441/160, -421/96, -2441/160, 
  17/12, 1/96, -931/512, -61/72, 422567/23040, 1/2, 66959/13824, -19/128, 
  -415/768, 2029/384, -2879/1536, -17/2, -93/32, -2063/1024, 1, 95/192, 
  -5/64, -767/768, -4139/768, -3661/256, -33/32, -1/2, -335/768, 415/768, 
  -5/32, 171/128, 2975/384, -179/1024, 283/768, 1/16, 137/256, -5/64, -11/32, 
  1/2, 2159/512, 15/32, -2, -1/4, 135/32, -5/48, -63/16, -377/96, 13/16, 
  9/32, -57/32, -599/96, 419/96, 245/32, -17/8, -1/32, -1/16, 65/32, -443/96, 
  7, 155/32, 385/144, -29/32, 977/96, -137/12, -2969/288, -527/96, 2293/288, 
  49/8, 3/8, -3181/288, -57/16, 37/16, 73/24, -55/32, -135/16, -529/192, 
  333/64, 5/2, -269/64, -289/64, 2621/384, -3/8, -9/4, 7/4, 1/8, -39/32, 
  73/32, 7/16, -199/32, 9/16, -15/4, -7/4, 49/32, -89/32, 19/16, -3/8, -69/8, 
  3/4, 199/32, -73/32, -461/320, -47/32, 559/96, 359/80, -17/3, -107/64, 
  11/576, -2009/576, 913/864, -19/16, -5/12, 3/16, 27/16, -571/48, 15/32, 
  35/48, -193/32, 3/8, 171/32, -189/32, 95/32, -371/32, -263/32, 29/8, 
  171/16, -129/16, -63/16, 165/32, 83/16, -171/32, 195/64, 451/32, 1077/64, 
  -317/32, 5/32, 91/64, 85/16, 173/32, -9/4, -115/16, -183/32, -95/16, 
  1537/96, 19/16, -377/72, -591/32, -229/32, 1/4, -107/32, 845/48, -7/4, 
  -5/16, 39/16, 16, -57/2, 87/32, -33/16, 27/32, -25/8, 83/32, 73/32, -1/8, 
  5/8, -5, 1/16, -1/8, -13/8, -153/8, 5/16, 25/16, -3/2, -1/16, -45/32, 
  89/32, -125/32, 19/8, -37/32, 137/32, -23/8, -3/8, 7/4, 19/16, 139/24, 
  -109/96, -93/16, -4871/576, -1/12, -55/64, -205/144, 15/16, -375/64, 
  1385/576, 5441/384, -97/288, 457/144, 109/32, 193/288, 1/4, 569/144, 1/32, 
  145/96, -313/32, -217/288, -7/2, -147/32, 29/9, -113/32, -5/4, 333/80, 
  59/48, -333/80, 1/48, -11/4, -197/64, 1/18, 547/96, 905/72, -229/96, 
  229/64, 6209/1728, -35911/2880, -1733/864, 99/32, -3821/160, 13/32, -77/32, 
  961/64, 1/16, 27/32, 617/120, -171/64, -709/288, 1/8, 183/16, -7/32, 
  -141/16, 65/16, -69/32, -107/32, -49/16, 73/32, 431/32, 7, -49/8, 27/8, 
  33/16, 8, 177/32, -73/32, 1111/64, 103/16, 371/64, -325/32, -93/32, 
  -1421/64, 63/16, 37/8, -125/32, 61/16, 367/32, -5/16, -59/16, 9/32, 
  -285/16, -9/16, 397/32, 253/32, -341/32, -5/32, -185/96, -11/32, 73/16, 
  -239/192, -1/2, -605/64, -233/48, 85/32, 113/64, 59/32, -1211/128, 213/64, 
  1295/192, -5/4, 701/64, 63/64, -303/64, 49/64, -331/64, 3/2, -263/128, 
  123/32, 423/128, 359/64, 11/64, -45/64, -57/32, -2, 59/16, -71447/8640, 
  -65/32, -109/96, 33623/2160, 79/96, -381/64, -1343/576, -125849/8640, 
  4163/864, 2, 15/2, 479/48, -1/6, -41/24, -539/96, 12971/192, 33/8, -7/2, 
  9/4, -9/4, 3461/64, 7/4, -9491/192, 121/32, -43/8, 4575/64, -395/96, 
  571/48, -82/3, 751/24, -1/2, 45, 40, -1/4, 5/4, 1/4, -9/4, -3/4, 7, -2, 42, 
  6, 37, 2, 279/16, 127/4, 52723/768, -5653/96, -120971/768, 32275/576, 
  7707/32, -8971/64, -1179919/2304, 36641/2304, -5/32, 2, 15/16, 227/8, 
  -731/16, -401/16, 4717/16, 4089/16, 61/8, -7495/24, -735/16, -23/8, 1, 7/4, 
  1/4, 165/16, -165/16, -17/4, -11/8, 125/8, -5/4, -125/8, 11105/192, 
  1611/16, -14563/384, -557/8, -1643/20, 8065/36, 2387/80, -20467/160, 
  -2273/160, -39171/160, -5177/160, 39171/160, 72469/240, 53287/288, 
  -2387/160, 44793/160, -695/32, -563/288, 3409/1152, -5975/192, 5357/192, 
  7/16, 147/8, -313/32, 2339/48, 85/24, -601/384, 13/24, -2, 209/24, 
  1685/2304, 4627/96, -70841/768, -10567/192, 11483/576, 3017/192, -629/96, 
  -451/16, -479/96, 403/48, 71/48, -45, 20, 1/2, -283/96, 371/24, -289/16, 
  -17661/512, 623267/2304, 861505/4608, 9/8, 21715/1152, -35/1152, -1/2, 3/2, 
  13/4, -17/8, 9449/1152, 11/128, 2687/48, -26605/1152, 5/256, 3/128, -5/256, 
  -3791/512, 343/8, 27925/48, 37291/768, 16051/512, -2953/768, -287/128, 
  1517/384, -29449/768, -2875/288, -3023/256, -149667/512, -21965/1536, 
  34659/256, 4459/48, 1663/384, -599/1536, -9809/384, 25939/1536, 23/2, -3/2, 
  113/144, 455/96, -1/2, 119/144, 19/72, 1/6, -1/2, -1, 101/16, -5/2, 23/24, 
  19/72, -21/16, 19/12, -3/8, -457/72, 9/4, -199/36, 11/12, 7, 21/4, 55/12, 
  107/12, 1001/72, 1559/8, 5369/144, 973/12, -1285/144, 1633/16, 8069/288, 
  149/2, -2503/32, -21313/288, 1625/32, 52949/576, 48407/288, -465/16, 
  -21313/288, 1161/32, 52949/576, 15023/72, 5/4, -69/8, 35/9, -1, -2973/16, 
  -6087/32, -2955/64, -6549/32, -1767/16, -93/4, 2877/64, -27733/96, 
  -18213/80, 4569/40, 16983/80, -5217/20, 11049/40, 244/5, 19945/768, 
  32333/1536, -485/32, 17521/1536, -34087/2304, -16483/768, -67895/1536, 
  -16079/384, -413213/4608, 102197/4608, 1651/144, -32257/1536, -1855/576, 
  -206245/4608, 217/16, 7105/1152, -161/96, -25/4, -32273/4608, -43/16, 
  1837/512, -1307/192, 233/24, -139/48, 307/384, -165059/3840, -78011/6912, 
  -2651/80, 3/2, 535/288, 217/48, 373/2304, -3/16, -11/192, -289/48, 7/6, 
  33/16, 47/18, 137/16, -10295/288, 267/16, -421/32, 6163/48, 3997/48, 135, 
  3547/32, -2089/48, -2691/16, 893/48, 1213/48, -7961/144, -2057/48, 1409/72, 
  -9/4, 905/144, 75/16, 2733/32, 13859/288, -3301/32, 35/16, 6, -4697/288, 
  1367/288, -209/8, 5321/32, 4283/288, -64, 347/16, -15/8, 81/16, 467/16, 
  -113/16, -29/8, 35/16, 12857/144, 55/16, -347/16, -193/8, -129/4, 241/48, 
  205/8, 12, 9/8, 1971/32, -9/8, -2403/32, -6493/384, 125/32, -33857/288, 
  -63/32, 111/8, -153/8, -2971/48, 97/18, 39/8, -39/4, 9/4, 635/96, 39/4, 
  -827/96, 1465/96, 5/2, -3319/96, -7/12, -919/32, 7/3, 283/16, 1057/32, 
  -1711/96, -31/2, 4977/80, -109/4, 263/12, -2621/40, -77/12, 1893/80, 
  127393/2880, 252737/2880, -145837/4320, -471/32, -2443/64, 587/64, 755/36, 
  9/4, -219/64, 87/16, -435/32, 9/16, 1377/64, 297/16, -87/16, 99/8, -953/64, 
  -183/16, 183/16, 187/16, -93/16, -441/64, -13/32, -6331/512, 3275/768, 
  -169/384, 6577/576, 31165/4608, 5989/1536, 7403/1536, -27689/1152, 
  -32299/6912, -228203/13824, 363/256, 203/24, -35/4, -1855/768, -47/16, 
  923/128, 2421/128, 31/16, 3517/384, -211/12, 1001/96, 15325/1536, 
  462491/23040, -150023/13824, 217/256, 901/2304, 29/16, -551/96, -37691/576, 
  -25879/768, 208949/4608, 2243/64, 242059/4608, -220519/4608, -19373/768, 
  1863/256, 49759/768, 6739/1536, 805/36, -10185/512, 6763/512, -17775/256, 
  40643/1536, 6257/2304, -5341/128, -63745/2304, 45253/2304, 178319/4608, 
  8195/288, 149/192, -773/24, 225/16, 3105/256, -45/16, -867/256, 601/192, 
  1/16, -2057/256, 651/64, 1307/192, -233/24, 139/48, -2069/256, 81287/11520, 
  49421/6912, 2651/80, -121/5, 361/288, 35/16, -9133/768, 7685/1536, 2, 
  1739/384, 4051/1536, -5/4, -19867/3072, -1073/1536, 2869/3072, -34045/3072, 
  2113/2304, 923/96, -67/32, -35111/2304, 497/96, 785/128, 9127/512, 
  -46297/4608, -463/384, -312637/15360, 163/256, 73/32, 160223/7680, -17/16, 
  1231/64, -113/45, -7337/1536, 25861/1152, -660019/15360, 6365/3072, 
  973/512, 101651/1440, 16129/9216, 5407/1536, 19409/1024, 1529/64, 
  -63373/3072, -222183/1024, -4703/1024, -1629/128, 11521/384, 157309/2304, 
  -5879/1536, 33319/2304, -205103/3072, 143969/9216, -477937/4608, 
  -70423/1536, 37069/1536, 127/16, -27/32, -7343/512, 23/32, 20813/3072, 
  -25883/768, 89/32, 12923/768, 4643/512, 1501/1536, 877/64, -3503/3072, 
  5269/1536, 3463/1536, -2087/192, 61/4, -35/8, -529/192, -124375/2304, 
  -4775/576, -2441/80, -1/2, -157/48, -11/144, -17/24, 143/16, 23/24, -17/48, 
  343/144, 1/2, 15/16, 451/288, -121/48, -3/4, -25/144, -37/144, 39/16, 
  -3539/288, -617/32, 735/32, 1183/96, 185/48, -2195/48, -765/32, -4621/96, 
  71/2, -3187/144, 183/16, -1259/144, 283/144, -1199/144, -33/32, 3/16, 1/4, 
  -175/32, -63/16, 39/16, 121/32, 31/8, 161/32, 251/32, -559/64, -8371/192, 
  103/8, -2171/32, -633/32, 683/8, 2167/128, 43/16, 1417/32, -1407/64, 
  15901/96, -2723/192, -32215/288, -4547/384, -2453/576, 61/4, 11/4, -1/2, 
  -523/24, -38617/1440, 157/24, 20231/720, 43297/1440, 22237/1440, 
  -99341/4320, -31/16, 17/4, -279/32, -19601/864, 1/2, 8, 3529/160, -11/64, 
  577/32, -6653/320, -697/32, -2431/160, -1024/45, 7631/240, 15001/480, 
  -65/8, 677/240, 95/16, -1495/96, -147/40, 407/12, -37/8, -743/144, 
  3817/2880, -1457/432, -57/32, -6935/96, -653/32, 1341/32, 4187/64, 
  -1089/64, 655/64, 751/64, -2735/64, 515/32, -3055/64, 1601/64, -117/16, 
  -1215/16, -400/3, -571/8, 28163/384, 45/4, 675/32, -8189/192, -953/24, 
  311/16, -463/16, 4437/64, 3459/32, 17/2, -2539/40, -3/2, 407/12, 7703/240, 
  -113/12, -32293/1440, -105107/1440, -19109/1440, 225281/4320, 20381/720, 
  -705/32, 1639/32, 6469/720, -1157/16, -537/32, 5473/160, 147/8, 103/48, 
  -24613/960, -2095/192, 94147/1440, 4939/180, 18559/1152, -64513/2160, 
  -259/32, -81/4, 47699/768, 55473/160, 3743/16, -207/8, 3461/128, -945/16, 
  31721/768, 2635/8, -65/24, 19669/128, -4637/16, 48851/384, -80279/80, 
  137/16, 9/8, -647/8, -133/48, 139905/512, 35611/384, 533883/2560, 
  -391519/960, 14337/640, -237491/1536, 499, 231169/3072, -1359/16, 
  -72647/1536, -85083/1024, 3041/32, 327145/576, 295799/1440, -148237/576, 
  -52501/96, -1611/32, -3371/32, 3485/384, 1519/48, 417/16, -2623/32, 
  -9703/288, 441/16, -9145/96, -80689/1152, 16067/288, -520691/1152, 
  -22501/144, -2197/48, -27205/192, -46897/320, 599/16, 30657/160, 7109/32, 
  48193/960, -1995553/9216, -203593/2560, -118945/1152, 165547/1152, 
  -94703/288, 95059/1152, 707441/4608, 1558475/4608, -8373/160, 3597/64, 
  -63899/1152, 3/8, -44801/768, -72955/2304, -58393/1280, -913177/11520, 
  -99773/1152, 58847/480, -93/16, -22397/480, -53983/1152, 63/4, -34913/512, 
  -11565/256, 19807/1536, 341/1536, -14929/384, -33431/256, -907385/1536, 
  -307663/512, 1133/4608, 718997/1152, 64259/256, 1654887/2560, -400381/1280, 
  -41813/7680, -882233/1536, -15221/576, 62069/576, 98177/288, -8069/72, 
  -1071/40, -49061/720, 1591/36, 3605/144, 248571/1024, 186041/1152, 
  -10328783/46080, -674473/2880, 210289/512, 39841/128, 158353/1920, 
  -234383/640, 38170541/15360, 1/4, 1/4, -1/4, 3/16, -1/16, 1/4, 3/16, 7/16, 
  -3/16, 1/8, -1/8, -7/16, -1/8, -1/4, -1/4, -1/16, -5/16, 1/4, 3/16, -1/16, 
  7/16, 3/16, 1/16, -1/16, -1/8, -3/8, -5/16, -3/16, -1/8, -1/8, 1/4, -1/8, 
  -5/16, 1/4, -1/16, 1/4, -5/32, 9/32, -1/8, 1/4, -5/16, -7/32, 1/4, 1/32, 
  3/16, -1/16, 5/32, 9/32, 1/32, -3/16, -1/8, 1/16, -1/4, -3/32, -5/32, 
  -3/16, 1/8, -7/32, 1/16, 1/16, -5/32, -1/16, 1/16, -1/16, -1/16, 1/32, 
  -1/16, 1/16, 1/16, -5/16, 9/16, -1/4, -3/16, 1/4, 1/4, -1/16, -1/4, -1/8, 
  -1/16, 1/8, -1/8, -1/8, 5/16, 1/8, -1/8, 1/8, 1/8, 5/16, -3/16, -1/4, 1/4, 
  1/4, -1/4, -1/8, 3/16, 1/8, 1/8, 5/32, -3/32, 1/32, -1/8, 1/8, -1/4, 1/8, 
  -1/32, -1/16, 1/16, 1/16, 1/16, -5/12, 13/12, -1, 11/4, -31/4, 11/3, -13/3, 
  -5/2, -1/2, -3/4, 35/2, 35/2, -35/2, -47/4, -20, 45/2, 10, 80, 3, -185/2, 
  1/48, 1/48, -1/48, -5/16, 5/6, -25/96, -1, 1, -1/2, -9/4, 1/2, 1/4, -1/2, 
  -1/4, -1/4, -1, 1/4, -5/32, 71/96, -7/24, -55/96, -17/96, -17/96, -7/3, 
  -19/4, 85/24, 5/32, 7/48, 161/192, 155/192, 19/8, -79/48, 161/192, 19/8, 
  -43/64, -7/16, 1/8, -13/8, 5/4, 9/8, -11/8, 1/2, -9/8, -5/8, 39/8, 15/8, 
  -3, 1/8, 7/8, 7/16, -9/8, -3/4, 1/4, 5/8, -5, -1/4, 1/2, 7, 1/4, 23/64, 
  23/64, -27/32, 9/64, 153/8, -9/64, -23/64, -23/64, 9/32, -23/64, -5/64, 
  1/4, -1/4, -1/2, 1/8, 1/4, -1/4, -1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 113/24, 
  -161/192, -155/192, -25/24, 79/48, -161/192, 9/32, -25/24, 43/64, 5/32, 
  -7/16, -3/4, -3/8, -1/4, 1/2, -9/8, 2, 21/2, 9/8, -3/8, 9/8, -39/8, -35/2, 
  71/64, 147/8, 7/64, -3/16, -51/64, -147/8, -27/64, 25/32, 27/64, -7/8, 
  -45/64, 40, -9/32, -41/64, -313/8, 57/64, -1, -3/4, 1/2, 1/2, -1/2, -5/8, 
  -3/2, 3/2, -3/2, -3/2, 3/2, 1/4, -1/4, -1/2, 1/4, 1/2, -5/192, -1/192, 
  7/768, -3/256, -1/48, 5/192, 3/256, 1/48, 65/48, 3/16, 97/256, -3/4, -9/16, 
  29/16, -185/96, -119/96, 13/24, -1/4, -5/16, -3/16, 25/8, 3/4, -3/16, 
  -11/16, 5/16, -65/8, -13/4, 33/16, 19/8, 5/12, -4/3, 3/4, 3/2, -1/4, -1/4, 
  17/16, 77/16, 5/4, -1/2, -7/16, 7/16, 7/16, -1/4, 21/32, 49/32, 59/32, 
  49/32, 59/32, 1/32, 1/32, -1/16, 1/2, -3/4, 1/16, -1/4, -3/16, -1/4, -3/16, 
  5/8, 3/16, -3/8, -3/4, 7/8, 3/8, 3/4, 13/8, 1/2, -3/2, -5/4, -5/8, -9/8, 
  1/8, 5/8, 7/8, 1/2, -5/4, -11/8, -3/4, 1/2, 1/16, -3/16, -1/8, 1/16, -3/16, 
  1/8, 3/8, 1/2, -5/16, -3/16, 1/16, -17/16, 3/16, -1/8, -3/8, 1/8, -5/8, 
  -1/2, 1, 7/8, -7/8, 7/8, 1/4, -7/8, -1/4, -1/8, 3/16, 1/8, 1/4, -1/2, -1/4, 
  197/64, 535/192, 59/384, -1925/768, -3/2, -89/48, -505/192, -1/8, -67/256, 
  25/16, 1/8, -133/96, -61/96, 35/32, -133/96, 61/48, 35/32, -73/48, -19/48, 
  31/32, 161/192, -13/24, -13/24, 155/192, 13/12, -73/48, 695/384, 31/32, 
  -13/24, 155/192, 13/24, -1/4, 13/24, -59/24, -11/6, -7/8, 1, 7/8, 4/3, 5/4, 
  77/24, -19/6, -19/4, -5/2, 1, 25/32, -57/16, 7/16, 1/4, -1/8, -7/24, 19/12, 
  3/4, 3/2, 13/32, -19/12, -15/8, -1/8, -37/24, -163/24, -31/16, 5, 55/16, 
  3/8, 19/12, 3/2, 1/8, -19/12, -3/2, -1/8, -3/8, -85/12, 5/2, 3/2, -1/4, 
  -1/2, -4/3, 1/2, 9/8, -1, -11/8, -7/16, 27/32, -3/16, 33/16, 29/32, -33/32, 
  -1/8, 3/16, -1/8, -1/4, -29/32, 1/8, 1/32, -5/8, 9/32, -27/32, -15/32, 
  21/16, 33/32, 19/32, -17/8, 3/32, -5/32, -81/32, 5/8, 1, 15/32, -35/32, 
  -21/64, -7/4, -21/32, 29/32, 5/16, 23/32, 1/4, -7/32, 5/8, -9/32, 61/64, 
  15/32, -19/16, -13/16, -9/16, 25/16, 7/32, 5/32, 47/32, -5/8, -11/64, 
  -3/16, -27/64, 3/16, 3/64, 25/64, -5/16, 1/16, 1/2, 19/32, -71/32, -9/32, 
  -71/32, 11/32, 3/32, -3/8, 15/8, 7/4, -3/8, -15/8, 3/4, 13/8, 5/8, 3/4, 
  -3/2, -17/16, 3/2, 45/16, 9/16, -1/4, -57/32, 7/4, 81/32, -3/4, 25/16, 5/8, 
  7/16, -5/4, 3/4, -9/16, -5/8, 5/8, 7/2, -3/4, -9/8, -1/16, -13/4, 3/8, 
  -31/32, -3, -41/16, 39/32, 1/4, -5/8, -1/8, -3/4, 3/16, -9/4, 1/8, 1/8, 
  -9/4, -17/32, 111/32, 61/32, -57/32, -3/4, 7/4, 81/32, 3/4, -3/4, 55/16, 1, 
  -53/16, -5/2, 9/8, -5/2, -17/32, 23/16, 61/32, -1/4, -1/4, -1/2, 1/4, 1/2, 
  -1/4, 3/8, -1/4, -3/8, 3/8, -5/16, 1/4, 1/4, -1/4, -1/4, -1/4, 1/2, 1/2, 
  1/2, -1/4, -1/2, -1/4, -1, -1/4, 1/2, -9/16, 1/4, -1/4, 9/16, -1/4, 57/32, 
  -73/32, 7/8, -19/16, 1/2, -7/8, -3/4, 1/2, -57/32, -3/8, -35/16, -57/32, 
  -1/16, 5/16, -1/4, -7/16, 9/32, -1/4, 3/16, 1/16, -1/16, 1/32, -1/16, 1/8, 
  1/32, 1/16, -1/16, -57/32, 29/8, -183/32, -9/32, -67/32, 1/8, -1/8, 57/32, 
  -57/32, -17/4, -1/32, 27/16, -31/16, -9/32, -67/32, 1/8, 1/192, -475/768, 
  -5/8, 125/256, 1/2, 1/192, 3/8, 99/256, -1/192, -1/4, 93/256, 1/4, -1/4, 
  -5/192, -99/256, 1/4, -1/4, -179/128, -1/384, 6191/1536, 39/32, -2651/1536, 
  -15/16, 3/4, -73/48, -79/64, 917/1536, 19/32, 179/128, 157/192, -43/64, 
  1/384, 3/8, 1/2, 1/384, 1/8, -3/2, 1/8, -1/8, -1471/1536, -49/128, 
  1363/1536, -3/8, -1/2, 1/384, 1/32, -1/16, 1/8, -51/512, -3/8, -1/2, 
  -413/1536, 1411/1536, 1267/1536, -5/16, 15/16, -19/32, 25/32, -7/16, 
  -21/16, -13/4, -15/32, 1/4, 23/4, -1/16, 115/48, -23/16, -65/16, -1247/96, 
  -3/2, 315/32, -1/2, -37/12, 11/32, 155/48, -7/16, -3/16, -2/3, -5/16, 7/16, 
  9/8, -11/16, 21/32, 3/4, 1/4, 5/16, -3/16, 25/32, 1/4, 7/16, 3/16, -23/12, 
  -25/12, -1/32, -11/16, -29/32, 21/16, 15/16, -93/32, -1/4, 11/6, 115/48, 
  21/16, 1/4, -5/16, -1/4, -1/2, 87/32, 15/16, 1/4, -1/16, 13/8, 5/16, 
  -59/32, 1/4, -19/8, -1/8, -115/96, -215/48, 7/32, -3/4, 105/32, 45/32, 
  1337/96, -1/32, -321/32, 203/96, 553/96, 35/32, -277/96, 1/8, -1/2, -17/4, 
  1/4, 109/32, -57/32, 67/32, -1/16, 63/16, 53/32, -101/32, 27/16, 1/4, 
  -63/32, -1/8, 1/2, -215/48, -57/16, 7/32, -75/16, 1343/96, 17/2, -335/32, 
  553/96, -3/16, -253/96, -5/32, 1/2, 535/64, -1, -13/16, 65/64, 1/8, 
  -181/64, -3/32, 419/64, -7/8, 41/32, 107/32, 1/2, -241/64, -21/32, 27/64, 
  -143/64, 777/64, 375/32, 7/16, -9/64, -15/16, 205/64, 465/64, -17/16, 
  41/32, 13/4, 5/8, -15/16, 41/32, -241/64, -53/64, 93/32, 339/32, -19/16, 
  -9/64, -3/16, 23/4, 33/32, -15/16, 41/32, -13/32, 5/8, 15/16, 155/64, 
  507/64, 19/8, -469/64, -87/32, -41/32, -1739/64, -31/32, 241/32, -5/8, 7/8, 
  -3/8, 1/8, -7/32, 3/32, 1/8, 81/32, -17/8, -27/16, -27/32, 3/64, -7/16, 
  105/32, -1/2, -29/16, 3/16, 3/2, 3/16, -11/64, -3/8, -87/64, 3/8, 11/16, 
  45/32, -3/8, 1/16, -3/64, -29/32, 109/64, -11/16, -1/16, 27/32, 27/32, 
  -1/8, -33/64, 39/32, 3/32, -201/128, 9/16, -1/4, -9/8, 129/64, 3/8, -1/64, 
  -79/128, -11/8, -15/64, -5/16, 69/64, -1/8, 9/16, -151/64, 1/8, -1/4, 
  41/32, -31/32, -85/32, 7/16, 199/64, 93/32, 33/32, -2, -13/8, -65/32, 
  -57/32, 39/32, 21/64, 75/128, 73/16, -5/4, -5/64, -77/32, 149/64, -63/128, 
  -141/64, 3/16, -1/8, -23/32, 1/8, 17/32, -47/32, -27/32, 83/32, 83/64, -1, 
  91/32, 33/32, -15/4, -13/8, 5/16, 41/64, 39/32, 1/16, -41/128, -1/4, 65/32, 
  -5/4, -111/64, -21/32, 1/2, -63/128, 1/8, -51/64, 1/8, 1/8, -5/16, -1/16, 
  3/8, -5/16, -9/16, -1/4, 1/2, 5/16, 1/16, 13/16, -1/8, -11/16, -5/16, 9/16, 
  -9/16, -1/4, 1/2, 5/16, 1/16, 1/4, -1/8, -11/16, 5/8, -1/2, 1/8, 1/16, 
  3/16, 1/8, -1/8, -1/16, 1/8, -1/8, -1/8, -35/64, 35/64, 1/4, 19/64, -1/4, 
  -1/8, 1/8, 1/8, 1/4, 1/8, 1/8, 1/4, 5/32, 3/16, -9/32, -1/16, 21/64, 35/64, 
  9/16, 1/16, -1/4, 17/32, -3/8, -1/8, 1/8, -1/8, 57/32, -73/32, 3/16, 13/32, 
  -23/32, -13/32, 17/32, -123/32, 65/32, -5/32, -17/64, -19/64, 33/16, 
  -37/64, 5/8, -69/32, -1/16, -1/8, -43/16, 69/32, 3/4, 35/16, -49/32, 5/8, 
  49/32, 1/4, -5/16, -17/64, 1/4, -1/4, 13/64, -1/4, 3/8, 15/64, -1/8, -1/8, 
  57/32, 45/64, -57/32, -63/16, -7/32, 23/16, -1/4, -27/16, -1/32, -75/32, 
  -1/8, 1/8, -1/8, 3/16, 1/8, 1/8, 9/32, 5/8, -1/8, 1/4, -5/32, -27/64, 5/16, 
  -1/64, -1/4, 13/16, -3/16, 1/8, -15/32, 7/32, 1/8, 1/192, 67/256, -1/8, 
  7/32, -1/8, 1/8, -1/16, -1/8, 1/16, 1/16, -1/16, -1/4, -15/32, 17/4, -1/4, 
  27/32, -11/16, 9/16, 57/32, -59/32, -5/16, -205/64, -43/32, -3/8, 51/32, 
  1/2, -27/16, 1/2, -1/2, -1/16, 1/16, 1/16, -203/96, 15/32, 1/8, 3, -5/16, 
  17/32, 1/8, 1/16, 181/32, -3/16, -83/16, 19/8, -7/16, -3/16, -109/32, 7/16, 
  3/16, 65/24, -9/32, 31/32, -1/16, 11/32, 1/16, -31/32, -1/8, -3/32, -1/16, 
  7/32, -15/32, 41/64, -29/128, -361/128, -241/64, 401/128, 703/128, 409/64, 
  7/64, -31/32, -3/8, 261/128, 53/64, -21/128, -7/32, 367/64, -1/4, 57/64, 
  -35/64, -85/64, 315/128, 1/4, 89/64, 15/32, 1/16, 237/128, -61/16, -241/64, 
  107/8, 1281/128, 1/8, -37/64, 61/64, -241/64, -123/16, 1247/128, -1465/128, 
  -13/4, -53/64, 1443/128, 247/64, -37/64, -2205/128, -241/64, -1/16, 3/2, 
  -229/64, 5169/128, 37/64, 249/64, -1/16, -739/64, -5/16, -33/64, 9/16, 
  33/64, -1/4, 1/2, -5/32, -9/4, 9/32, 35/32, -1/8, 1/16, 1/4, 7/4, -5/16, 
  1/32, 5/16, 53/64, 13/16, -13/32, -27/64, 9/32, 1/4, -1/8, -7/8, -117/64, 
  25/16, 9/8, 7/32, 7/8, 1/8, -13/16, -3/16, -3/16, -29/64, 7/32, 1/8, 1/16, 
  1/16, -1/16, -31/16, 1/16, 1/16, -1/16, 5/32, -9/32, 1/8, 1/4, -1/8, -1/8, 
  1/32, 1/16, 1/32, -1/16, 1/8, -1/16, 1/16, -1/16, -5/16, 3/32, 1/4, -1/8, 
  1/8, -1/16, 1/16, -1/32, -1/8, -1/16, -5/32, 11/32, -1/32, -39/64, 1/8, 
  -1/8, 1/8, 37/64, -3/32, 1/16, 39/64, 1/16, -7/32, -1/4, -23/64, 1/4, 1/8, 
  1/8, -1/8, -1/16, -3151/1152, -3/32, 3/32, 1/16, -7/3, 1/8, 13/12, -13/12, 
  -1/8, 3151/1152, -1, 1, -3461/1152, -21/4, 21/4, -3/16, -3079/1152, 
  -797/768, 5/8, -515/384, 5/12, -5/12, -181/768, -5/8, -101/384, 3/16, 
  -15/32, -13/4, 13/4, 15/32, 17/6, -35, -233/384, -233/384, -7/128, -1/192, 
  -1/192, -1/6, 233/384, 7/128, 5/72, 4325/1152, -2597/1152, -5/72, 
  3151/1152, -7/4, 7/4, 4325/1152, -3029/576, -7/6, -1/16, 1/144, -3079/1152, 
  3151/1152, 3/4, -5/8, 1/8, -3461/1152, -7/6, 11/6, -37/8, -7/6, 7/4, 7/8, 
  3, -7/8, -27/8, -3101/32, 115/4, -4351/32, -5/2, -23/16, 161/8, 61/8, 
  -23/32, -607/32, 23/32, 23/32, -5/2, 1/8, 25/2, -23/32, 23/32, -10, 
  -181/160, 197/80, 1211/160, 1/144, 1/144, 25/6, 595/768, 13/192, 413/192, 
  221/128, 1/192, 1/192, 1/6, 181/768, 377/64, -7/128, 619/4, -45, 13/192, 
  19/144, -1/144, 5/6, 3151/1152, 1, -1, -1, 3/2, 11/6, -25/2, 7/4, -351/128, 
  11/6, -1/2, 17/2, 17/2, 2053/160, -35563/160, -8049/32, 7127/32, 1165/32, 
  -37/8, 23/8, -577/16, -73/16, -37/16, 7/8, 583/32, -33/32, -51/32, -53/80, 
  -677/160, 3887/160, -6123/160, 443/20, -75/16, 2109/160, 6369/32, 357/16, 
  -283/16, -23/16, 1605/16, -7/8, -1247/32, -203/160, 309/160, -203/160, 
  3089/160, 1/16, -3/4, -935/2304, -89/96, 3/4, -1/72, -11/32, -941/768, 
  -977/384, 19/96, -197/128, 1/48, 1/48, -1/32, -343/384, 141/256, 13/96, 
  -439/384, 25/48, 927/256, 1099/144, 11/32, -2803/576, -7/16, 1/12, 233/16, 
  -3089/384, -251/48, -3361/192, -299/16, -629/768, 65/48, 127/384, -627/256, 
  83/24, -463/96, -1/4, 1/2, 301/384, -5/8, -91/256, 167/256, -73/128, 
  -35/12, 57/128, 1/2, 5/12, -1/8, 3049/768, -3/16, -1649/768, 1/4, -13/384, 
  1/4, -1/2, -8911/2304, -3/4, 1/8, 3/4, 41/8, 7/4, 3/4, 15/8, -49/8, -5/12, 
  3/4, -1/4, -3/4, -1/3, 7/8, -7/8, -7/8, 1029/32, -4037/320, 1/2, 17/4, 
  7/16, -23/64, -7/8, 23/64, 5/2, -41/8, 23/64, -7/16, 1459/160, -203/320, 
  -1/2, 1/8, 1/2, -1/8, -7/8, 1/4, -1/4, 1/4, 1/2, -1/2, -7/8, -1/4, 1/4, 
  403349/288, -40027/96, -89291/128, -89291/128, -1, -25/8, -21/8, 1, 9/2, 
  -1, -25/8, -21/8, 1, 9/2, 1/72, 5/16, 3/4, 935/2304, -163/96, 9/4, 
  -280189/192, -89291/72, 809777/288, -280189/192, 1234679/1152, 255541/96, 
  6, -9, -6, 45/8, -6857/96, -451/72, -1/288, -5/288, -3, 3, -1/288, 
  -865/288, 1/4, 1/96, -13/8, -1, 33/4, 541/288, -521/288, -4277/1152, 
  14075/1728, 293635/384, 43901/96, 47/48, -3829/768, -1823/288, 13/32, 
  19793/1152, -7/48, 407/4, -2697/1024, 18983/3072, -36071/9216, 185/96, 
  -509/96, -145/256, -73/32, 6365/384, -5885/1536, -5/256, 16321/1536, 
  -17003/4608, -5/6, -349/768, 185/768, -45/128, -9/32, 17/24, 151/384, 
  -5/32, -9593/3072, 875/1024, -25/96, -391/192, -1547/256, -73/96, 4873/768, 
  8321/1536, -867/256, -1105/1536, 189/256, -293435/384, 6686639/2304, 
  925741/576, -10967/24, -1778419/576, -97837/128, 5/48, -7299/16, -1/24, 
  5396027/10560, -7299/16, -8470939/21120, -27/32, -782801/576, -19193/12, 
  191/96, 295775/96, -782801/576, 9/8, 119/96, 731699/384, -5407907/10560, 
  -7/16, 1245897/1760, -1061/24, -6375/32, -10/3, 1631/192, -2091/32, 
  116503/960, 521339/3840, 1857/32, -179623/960, -95/2, 850153/7680, 447/16, 
  4497/32, 573/8, 5077/96, -4969/32, -4855/24, -1693/32, 11857/32, 5, 
  -4281/32, -177/4, -1909/32, 15071/96, -40, -1895/32, 665/32, 633/16, 
  -253889/7680, 95/512, 31/24, -115/192, 40745/1536, 643/256, -15/16, 
  245/256, -19129/4608, -16327/4608, 3209/1536, 13/384, -53/12, 27691/1536, 
  10921/4608, -5075/768, 13/384, 299/12, -1651/288, 3/2, 1/4, -371/384, 
  1/384, 1/384, -7/16, 1/12, 7/8, 415/192, 5/32, -3/16, -5/32, -4549/3072, 
  1265/3072, -1351/3072, -2417/1536, 13/384, 553/128, 6497/1536, 401/128, 
  -1/4, 13/384, 517/256, -13/384, -13/384, -877/288, -1117/288, 877/288, 
  -27/8, -881/2304, -5/24, 4625/2304, 10063/2304, -647/576, -30031/2304, 
  11071/2304, 3, 5/4, 5/8, -1/2, 9/8, -95/32, -33/32, 5/4, -1/2, -21/4, 
  -379/24, 419/24, -419/24, -137/4, -1, -43/12, 1, 22/3, 29/6, 11467/288, 
  147/16, 1/2, -10835/96, 8131/72, 17125/144, 1/6, 21187/768, -7327/2304, 
  -1007/576, 947/2304, 623/576, 93701/2304, -8335/2304, 33625/1152, 19/48, 
  -1145/2304, -997/288, 21/8, 209/2304, -1391/576, -329/24, -5023/2304, 5/8, 
  1361/2304, 9/8, -2609/2304, -20623/2304, 9/8, -19/12, -1, -1711/2304, -7/4, 
  11/16, 35/32, 35/32, -1/8, -5/4, -1/4, 5/4, 41/32, -9/8, -5/4, 3/4, 5/4, 
  87/32, 5/2, -1/4, -3/2, -17/8, -113/72, 17/8, 5/8, -9/8, 11/8, 9/8, -9/8, 
  -1075/72, 1/24, 129/16, 5/24, -575/36, 17/36, 63/16, 1267/32, 3619/144, 
  -1829/288, 319/24, 1049/144, 35/24, 905/72, 5/4, 6695/288, 145/48, 3/4, 
  4871/288, -9/8, -503/36, 481/144, 11/8, 13/8, 9/8, -13/8, -3017/24, 
  -1199/64, 171/32, -81/16, -1/4, -7/32, 81/4, 155/8, -75/32, -559/64, -67/4, 
  559/64, 63/32, -43/64, 59/32, -87/32, -5/32, 4041/320, -25/32, -36597/640, 
  -951931/5760, -99379/960, -7659/160, 67069/960, 21653/192, 216931/480, 
  -880531/960, -11041/192, -43741/576, -6630071/11520, -262337/1920, 
  28241/160, -20121/64, 1772431/11520, -9/32, 208843/320, -146/15, -869/32, 
  37819/1920, 871/8, -989551/1920, -25199/192, 6293/32, -1884253/11520, 
  -273/16, -287/16, 37, 237/32, 287/32, 2747/128, -37/2, -2747/128, 263/32, 
  287/32, 1323/128, -37/2, -1435/128, 593/32, -7/32, -625/64, -1179/32, 
  213/32, -545/32, 61/32, 11/8, 1229/32, -287/64, -629/32, 689/64, -7/8, 
  -633/64, -11/16, -335/16, 35/32, 335/16, -39/64, 19/16, -33/32, 39/64, 
  -13/32, -3/16, 13/32, 7/4, 11/32, -51/32, -813/32, -1641/320, 243/16, 
  1839/64, -16823/320, -6153/320, 16251/320, 10557/320, -2587/640, -13/32, 
  25239/320, 18013/160, -11471/160, -24833/320, -9757/160, -40501/320, 
  647/32, 1403/8, 5151/40, 11529/160, 3917/80, -2651/20, -2303/20, -4043/80, 
  -3/2, 3/2, -3/2, 3/2, -19/8, 3/2, -3, 3, 3, 11/4, 2, -1/2, -1/4, -2, 9/8, 
  1/4, 3/4, 13/8, -1/4, 3/2, -7/8, -5/2, 1/4, 1/4, -1, 21/2, -21/2, -21/2, 
  -167/32, 1, -10, -1/4, -5/4, -1/4, -1, -11/4, 43/8, 15/8, -81/16, 171/32, 
  83/16, 99/16, 7/8, 657/64, 1/8, -307/64, 2, -307/64, 2, -7/8, -657/64, 
  -3/4, 1, 1/4, 7/4, 1/8, -7/8, 1/2, -1/4, -1/2, -51/32, 289/144, 1001/192, 
  591/64, 25/16, -29/16, -22079/2304, 752141/768, -103/48, 2177/96, -7/32, 
  -1, -5510147/4608, -1/2, -1, -697/24, 589/48, -219/8, 71, 909/16, 1/2, 
  -76/3, -247/8, -3/4, 841/24, -377/24, -131/2, 207/8, 175/16, 205/32, 
  -21/16, -637/64, 21/16, 227/64, -67/4, 5/4, 6383/576, 315/32, -3917/576, 
  175/64, 3107/576, -29/32, 3151/1152, -5959/1152, 1525/576, 90635/1152, 
  -23/64, 1615/192, 23/64, 281/32, -3/4, -469/32, 3/4, 47/8, -455/16, 23/16, 
  759/32, 605/32, -161/18, 39/8, 175/24, -29/32, -15/4, -17/32, 85/16, 17/32, 
  -25/16, -31/8, 47/32, -7/4, 617/32, 9/8, -3/16, 553/96, -29/32, 57/32, 3/4, 
  33/16, -57/32, -33/16, -23/32, -6385/384, 6853/192, 6385/384, -6697/576, 
  -6689/128, 6913/576, 6913/192, -5761/384, 6337/288, 1001/192, -1291/48, 
  -6985/288, -6697/576, 7939/576, -5761/384, 6931/288, -6361/384, 659/192, 
  699/64, -7579/288, -57/32, -23/8, 6, -6, -9/2, -3, 63/8, 23/8, -171/16, 
  231/16, 7, -3, 23/8, 3, 1/8, -1/8, 1/8, -11489/2304, -521/192, 521/192, 
  10625/2304, -671/1152, 521/576, 4277/2304, 14075/1152, -14075/1152, 
  -14075/3456, 11489/6912, 521/576, 9761/6912, 4277/2304, -14075/3456, 1/192, 
  -5297/1536, -2215/512, 139/96, 491/384, -335/192, 8983/1536, 5291/1536, 
  59/64, 375/512, 797/1152, -27559/9216, 3391/768, -29347/9216, -1/192, 
  -189/1024, 6655/3072, 595/3072, -6655/3072, -5027/3072, -1/192, 4747/3072, 
  -3/256, 5027/3072, -1561/1024, 2531/1536, 3/8, -3383/1024, -119/192, 
  4007/3072, 31/32, -3/128, 5275/3072, -53/64, 199/512, -3/8, -217/384, 
  47/48, -47195/4608, 1623647/1536, -47/16, -11627/4608, 7/32, 1179509/1536, 
  -1258127/1536, 2101061/4608, -706/3, 73/48, -6315/256, 124229/768, 11/48, 
  -355/48, 15/8, 961/192, -102095/768, 829/64, 427/12, -2179/1536, -815/3072, 
  -121/32, -2261/512, -2303/1536, -43/128, 69/64, -205/72, 2037/512, 
  17939/1536, -11317/3072, -52499/9216, -5897/1152, 49319/3072, 2975/1152, 
  -67/48, 5803/512, -4457/768, 3/2, 35/16, -4071/512, -2789/768, 47/32, 
  -27035/3072, 1445/4608, -127/192, -26425/3072, 43997/9216, -2113/1536, 
  -5879/3072, 3/16, -3413/512, -2909/1536, 253/128, -1883/384, -397/1536, 
  18607/1152, 16931/1536, -10187/4608, 267/1024, -3083/1152, 34325/2304, 
  20551/3072, -479/384, -2135/3072, 3/16, 43/16, 1123/1536, 5/16, 3/4, 
  -3181/1536, -3061/1536, 4175/384, -1455/256, -2197/1024, 215/128, 4003/288, 
  -11219/9216, 67/48, 189/1024, -3/4, -9155/3072, -2099/3072, 6655/3072, 3/8, 
  1/2, 1/8, -3/2, 1/8, -271/64, -8779/1536, 3/4, 1, 1/8, -3/2, 1/8, -9/8, 
  -21/16, -8779/1536, 5099/3072, 67/48, -4675/3072, -695/384, -19/32, 
  -5099/3072, 993/1024, -5/4, -3/4, 3/8, -1, -1/8, 5/8, -1/8, 2143/1536, -2, 
  6175/1536, 1/2, 7/8, 3/8, -33/32, 45/32, 143/128, 391/192, -7/32, -75/32, 
  -1/16, -3/8, -1/2, 31/128, 7/32, -1/2, -1/8, -3/4, -1/2, 301/384, 3/8, 
  53/24, 2957/768, -3/8, -845/1024, 7/16, -13/384, -14369/3072, 5/16, 
  7019/3072, -1321/3072, 47/32, 419/3072, 4975/3072, 1103/1024, -3575/1536, 
  3185/6144, -15023/6144, 2327/3072, 6589/3072, 1049/6144, -2687/6144, 
  2211/1024, 281/3072, -2473/3072, 13/4, 3/4, 3823/3072, 1, -431/3072, 
  4913/6144, -1137/1024, -3049/3072, 2473/3072, -12583/6144, -2095/3072, 
  -891/2048, -10457/6144, -3331/1152, 63247/4608, -97183/4608, 73079/4608, 
  9187/1536, 263/288, -2525/3072, 395/128, 4547/384, -4517/384, -1/2, 17/16, 
  -15323/288, -719/96, 259/16, -7955/288, -215/128, 1607/24, 7807/96, 
  5719/144, -33115/1152, 1997/32, -985/32, 4069/384, -4877/384, 6997/288, 
  -111/64, 10625/2304, -13/72, 1001/576, 2811/512, 9587/1152, -1715/576, 
  27649/4608, -53407/4608, 1577/576, -59/32, -48625/4608, -17/18, -3871/1152, 
  55/64, -1873/768, -4/3, 15/8, -92383/4608, -11173/384, -1, -4945/1152, 
  40369/4608, 367/288, 36787/2304, 3/4, -7/32, -11761/384, -281/96, 21/64, 
  1207/768, -143/96, -59791/4608, -78031/4608, -11017/384, 96607/4608, 
  -66211/4608, 28753/4608, -893/288, 8983/1536, 223/288, 15/4, -16603/768, 
  -305/96, -85/16, -14759/768, 25/16, 41/48, -79327/4608, -487/64, 
  92719/4608, -61/48, 61585/4608, 17/18, 15253/1536, 31/18, -425/128, -57/32, 
  201/128, 1, -33/16, 905/384, 25/32, -57/32, 1/4, 2107/384, -16729/6144, 
  -23/32, 1/8, -1/4, 23/32, 857/6144, 371/96, -13049/2048, -43/32, 
  20601/2048, 1/4, 9/8, 1/4, -5/8, -5/4, -1, -15/8, 43/32, 19/16, 7/32, 
  -353/192, -1261/128, -12985/2048, 5033/384, 12985/2048, -21/32, 1/4, 
  -43/16, -5/4, -63/16, 43/32, 19/16, 7/32, 1117/192, -1261/128, -9337/2048, 
  5033/384, 6841/2048, 63/32, -89/32, -63/32, 89/32, -27/16, -63/32, 89/32, 
  -9/4, 8617/1440, -193/60, -139/18, 3/4, -1/4, -8617/1440, 517/240, 391/72, 
  -29/12, -13/4, -13/12, 13/16, 13/8, 27/8, 29/24, 1/4, -9187/1440, -203/96, 
  2687/1440, 73/16, -63/32, -13/4, 89/32, 63/32, 27/8, -89/32, 21/16, 63/32, 
  75/16, -89/32, -3/16, -23/16, -1469/288, 45/32, -85/32, -215/128, -455/36, 
  515/96, 1059/64, 45905/1152, 977/144, 105/128, 7061/1152, 1/4, 811/72, 
  475/96, 3/2, 33/8, -215/128, -9/8, 3541/96, 377/64, 3893/1152, 55/6, 13/12, 
  601/128, -4239/128, -329/48, 449/32, 245/48, 1/24, -47/4, 8815/288, 45/32, 
  -191/32, -13/24, -19115/576, 3/8, -3337/48, -103/16, -1361/192, 4393/288, 
  -8881/288, 375/32, -167/96, -11/4, -309/32, -79/96, 11/4, 19/8, -389/32, 
  565/96, -123/16, -19927/144, 485/48, -19/2, 7/4, -53/16, -41/32, 
  1047571/11520, 859259/1920, 1118561/1440, 8079/64, 5/2, 176663/480, 
  -276319/960, -12145/64, -4187/15, 141/64, 37/32, -975/64, -767033/960, 
  -349/64, -2309437/2880, -5161/128, -5/4, 63/8, -193/32, -27/16, 11/2, 5/4, 
  -37/32, -161/64, 21/8, -165/8, -403/32, 617/32, -2747/128, -7/8, 5/4, 
  719/64, 21/8, 9/32, -513/32, -403/32, 1171/64, 617/32, 19/64, -2631/128, 
  -1099/64, -729/16, -159/16, -51/32, 343/8, -17/16, 267/32, -55/16, 51/32, 
  -343/8, -55/16, -569/64, 1/16, 335/16, 83/32, 15/8, -33/64, 71/32, 39/8, 
  -83/32, -677/32, -2311/320, 59223/640, -821/64, 169/32, 8257/320, 
  22967/320, -569/1280, -18723/160, -2809/80, -417/64, 49/64, 4267/80, 
  47191/1280, -4, -129/4, -39/64, 1/16, 101/64, -1/12, 123/64, 1/48, 373/160, 
  -2771/2880, -18307/2880, -17117/8640, -53/8, -65/16, 5/4, -7/32, 7/8, -13, 
  -57/8, 135/32, 93/32, 41/4, 45/4, 401/16, 361/32, -3, -201/16, 127/64, 1/8, 
  101/64, -125/64, -1/64, 39/32, 3/16, 9/8, -39/32, -947/48, -4/3, 905/48, 
  -3/16, 31757/1152, 1/4, 8677/384, -11/288, -33701/768, -29/32, -3/16, 
  -1945/288, 7/32, 2479/192, 2053/288, 35165/768, -5245/384, 2365/576, 
  50227/768, -113/288, -33509/768, 4909/384, 9/32, -1645/288, 77/96, 
  33461/2304, 2965/192, 3/4, 281/36, 38453/768, 71/32, 1807/576, 36353/768, 
  83/144, -32261/768, 3521/384, 9/32, -151/72, 77/96, 104555/2304, 2779/192, 
  -391/24, 991/288, 48373/768, 669/320, -469/320, -3/8, -619/320, 1/16, 
  55/32, -1, -35/16, -235/96, -25/16, 35/48, 3/4, 81/32, 4903/720, 367/432, 
  21/8, 81/8, -25/32, -53/16, -47/32, 57/32, 159/32, -7/4, -81/32, -187/32, 
  3/4, -15/2, -85/16, 205/32, 105/16, -39/16, 27/4, 11/32, -119/32, -21/8, 
  -7/4, -85/16, 105/16, 3, 93/16, -3/4, -1/4, -9/8, 25/4, 39/8, 1/2, 3/8, 4, 
  -1/2, 1/4, -1/4, -1/4, 11/32, 19/8, 61/32, -271/16, -189/16, -207/16, 
  31/32, -19/32, 349/16, -21/16, -17/16, -1/2, 29/8, 25/32, 1/64, 25/32, 
  -51/8, 31/32, 7, -23/8, -19/4, -37/8, 107/32, 127/32, -47/64, 1/4, 231/64, 
  47/64, 43/32, -7367/1152, -38297/768, 8129/1152, 32837/768, -751/96, 
  -17/32, 13963/1152, 875/96, -3/64, 3/4, -71/32, 33/32, -17/64, 105/128, 
  159/128, 73/8, 15/16, 1/16, 145/128, -113/64, -629/128, -685/64, -713/128, 
  629/64, 1661/3072, -4721/1536, 7781/3072, 307/128, -27/32, 163/128, 
  -119/128, 1/16, -1/16, -227/64, -3/32, 931/192, 41/32, -3581/3072, 231/64, 
  14117/3072, 37/32, -57/128, -107/128, -11/32, -701/3072, 5/8, -9637/1024, 
  -331/128, 7/16, -91/64, -375/64, -39/32, 309/64, 2, 97/64, -365/64, -1/4, 
  -20233/3072, -169/32, -147/64, 555/64, -19657/1024, -57/32, -147/64, 
  309/64, 361/64, -365/64, -1/4, -6937/3072, -55/32, -75/64, 819/64, 
  -16009/1024, 27/16, 2977/90, 283/32, -4559/192, -43021/2880, 233/64, 
  -55/16, -6061/480, -4265/192, 245/48, -17867/2880, -5/3, 21/32, 5087/576, 
  -433/48, -367/432, 6061/480, -1667/192, -19039/960, 1495/48, -71/32, 
  49/1152, -38297/768, -2059/1152, 32837/768, 8563/720, 14351/1440, 
  8311/1152, -463/45, 16151/1440, -15611/1440, -16151/1440, -13/96, 37/32, 
  -77/32, 1/8, 655/384, 3/32, -65617/6912, 6103/36, -33/32, 3/4, 85249/6912, 
  13/96, -3/32, -566935/1728, 571/864, -5/12, 1/32, -9436049/27648, 1/32, 
  -13/32, -1/2, 3767/864, -3/32, -133/16, 79/16, 5/16, 407/16, -133/24, 
  -55/32, -301/16, -3/16, -1/8, -253/24, -69/8, 199/12, 151/8, -1/4, -229/24, 
  -3/16, 133/16, -185/24, -257/16, 37/6, -101/32, 485/24, 209/32, -1145/48, 
  -35/96, 97/48, 9/4, -5/32, 15/4, -7/4, -3/8, -13/8, 15/32, 13/8, -3/32, 
  -57/32, 5/2, -51/16, -37/16, -11/16, 111/32, 241/16, -27/16, 21/32, -21/32, 
  1/8, 139/32, -1/8, 3/16, -179/18, -23/32, 12317/576, 17/32, -6499/576, 
  93/64, -4259/288, -1/32, 11107/576, -83/32, -1/8, 39749/4608, 7507/576, 
  -16003/576, -103/96, 23/16, -10765/1152, -8293/576, 6671/512, -61/32, 
  -17/48, -73/32, 181/64, 57/32, 167/32, -39/16, -71/32, 121/64, 9/32, 
  297/64, 23/32, -313/64, 65/32, 719/128, 3/4, -121/128, 9221/6912, 179/576, 
  11399/6912, 1/4, 6869/2304, -1/4, -1/8, -6421/1728, 1/8, -10639/4608, 5/12, 
  131/384, 81/32, -7/16, 605/384, 2083/2304, -18191/3456, 410029/1152, 
  -21/16, -1/2, -94951/13824, 1/4, 64925/27648, -107807/512, 625121/2640, 
  -35155/192, 1649135/3072, 108011/27648, -1033/288, -7687255/27648, 
  11939/6912, 9585905/27648, 6415/576, -1266479/3072, 4308559/27648, 
  -7325/64, -25/384, -3399/512, -351/32, 431/64, 601/192, 72659/768, -775/64, 
  445/16, -49217/768, -293/32, -427/192, 8155/1536, -99/32, -12565/768, 
  -12485/1536, 31637/512, -99/32, -299/32, 44383/1536, 7, 2747/384, 341/384, 
  -495/16, -103331/768, 1455599/15360, 97565/512, 11717/1536, 451/32, 
  -2061/512, 1913/1536, 13915/384, 8497/96, -270679/1536, -2265/32, -4031/96, 
  4343/768, -1/2, 373/384, -19153/1536, 11/32, -43/32, 2555/1536, 21/16, 
  -655/384, -345/64, 6277/1536, 57775/4608, -3269/1536, 37/32, -7/4, -31/16, 
  407/384, -3713/1152, 39/32, -2623/768, -7777/2304, 3/4, -5369/768, -33/32, 
  48565/4608, 2395/1536, 28771/9216, -55/128, 65/32, -1/16, 285/128, 
  -285/128, -5/8, 349/128, -1/8, -3235/3072, -285/128, 12109/3072, 961/128, 
  293/128, 9727/3072, -833/64, 1/8, -9841/3072, -169/32, 15481/1024, 
  1317/128, -17825/1024, -69/32, 69/32, -5/8, -69/32, 1/2, 3/8, 279/32, 
  -195/32, -705/128, -1937/1024, 129/32, 613/256, 4747/3072, -105/16, 
  1119/128, 429/128, -129/32, -339/128, -1/16, -1/4, 1/16, -6025/3072, 31/8, 
  -3/16, 463/3072, 17/16, -187/128, 11663/3072, -3247/6144, -8329/3072, 
  17/16, 1/4, -11257/3072, 1/16, 3/16, 13/16, -7783/6144, -95/128, -231/512, 
  -5/32, 1585/384, 5/128, 1/16, 1/2, 97/128, -1/16, -4675/576, 8129/6912, 
  1/4, -11/16, -5653/1152, -11489/3456, 5/4, 655/432, 5/16, 59/32, -4727/864, 
  41/32, -3403/1728, -14285/1728, -629/216, -109/32, -27/32, 3659/384, 23/16, 
  13285/3456, 12787/1728, -259/48, -265/1728, -2519/864, 9/2, -86609/6912, 
  126329/6912, 7721/1728, -1201/768, -4733/1728, 53/24, -59/32, -379/1728, 
  7/16, -3/16, 45/32, 57/32, 23/32, -89/32, 1/4, -17/32, -5/16, -15/16, 
  -93/64, 125/32, -41/128, 43/32, -25/16, 83/32, 15/32, -4613/2048, -319/128, 
  -1/4, -15145/6144, -5/2, -33/16, -107/32, -41/32, 59/8, -25/32, 
  -34273/3072, 13/4, 7/16, -3/2, 13/16, 109/96, 17/4, -187/96, -83/32, 73/32, 
  -851/192, 1/16, -147/32, 161/96, 55/16, -137/64, -21/16, 181/192, -15/32, 
  -133/96, 101/96, 107/16, -33/32, 25381/8640, -673/24, -161377/17280, 
  11797/864, 1/4, -1/48, -35/32, 14869/1152, -53/32, 341/32, -263/96, -69/16, 
  -161/32, 3/4, 127/32, 41/32, -3/2, 1/16, -89/16, 301/64, 121/32, -9/64, 
  -7/16, -1/4, 45/64, 1/4, -355/32, 23/6, -183/16, -5/2, -19/32, -1647/32, 
  -1609/96, 143/72, 247/8, 417/32, -53/32, -37, -37/32, -63/16, 907/64, 
  -96961/240, 133/64, 521/64, -225827/1152, -53/16, 4286189/11520, 8447/128, 
  2261/160, -462407/2304, 1928563/11520, 1472089/11520, 6625739/11520, 
  -1664401/11520, 325/64, 65/32, 11/4, -1/8, 5/16, 99/32, -7/64, 3017/128, 
  877/64, -61615/384, -2, 62275/384, 13/32, -49/16, -965371/1920, 287/32, 
  206863/480, -57/32, 975271/1920, 3/2, 2717/128, -97/8, 71107/384, 231/64, 
  -1955/12, 1000471/1920, 37/32, -107009/240, -984631/1920, 55/64, -65/32, 
  -1947/64, 9/8, 1085/128, 65/16, 343/64, -53/64, 66757/384, -223/16, 
  -75247/384, 15/16, 993031/1920, -283/64, 23/64, -439301/960, 357/32, 
  -23/32, -1002961/1920, 145/64, -37/32, -65/16, 41/16, 323/32, -68365/384, 
  -1413/128, 68137/384, -1024951/1920, -21/2, 226063/480, 1084861/1920, 
  -507/64, 381/128, 6303/128, -143/16, -2049/128, 49/64, 49/64, 22579/1280, 
  7/32, 9163/160, -147/32, 67651/384, -87/8, -71275/384, -33/8, -183/64, 
  -17759/640, 1000111/1920, -4379/40, -438251/960, 503/64, -153/32, 
  -1018171/1920, -45/32, -1/8, -2347/640, 577/64, 43/8, -2809/128, -73/32, 
  4717/320, -287/16, 61/32, -1/4, 1069/128, 253/32, 7/16, 2477/288, -31/48, 
  -13/32, -2249/288, -55/96, -1/32, -5/48, -43/64, 1/144, 653/72, -16/9, 
  -5/6, 25/32, -65/36, 180137/27648, 4445/576, 82627/2304, 845/144, -3/8, 
  -1387/1728, 31/48, 2089/144, 43/18, 329165/9216, 105/32, -3155/288, 1/4, 
  -3/8, 59/16, 23/16, -31/16, -17/16, 53/32, 119/80, -29/8, -45/16, 57/32, 
  -163/64, -1/4, 377/64, 27/32, -5/8, -19/4, 13/4, -1/8, 69/32, 1/2, 
  -873/160, -91/32, 581/128, 10819/2880, -1/16, -21/16, -1/4, 235/128, -1/4, 
  57/32, -63/32, 1/4, 3/8, 5/32, -25/4, -23/16, -163/32, 17/16, -121/32, 
  31/32, -979/64, -16, -863/64, 7/4, 1241/64, 1/4, 1/16, -125/32, 3/32, -1/4, 
  21/16, 117/32, 45/8, -9/8, -3/8, 1/2, 3/8, 5/8, 9/128, -9/8, -9/128, 1/2, 
  -15/8, 121/128, -1/8, 29233/3072, -13/16, -13/16, -801/128, 20537/1024, 
  -51/32, -73/128, -35/32, 13/32, 63/32, 457/128, -17/16, 225/64, -57/32, 
  125/128, -33/32, -467/128, -103/32, 57/128, 2875/3072, 65/32, -875/768, 
  -27/8, -99/64, -25/16, -15/16, 1053/128, -209/128, 63/32, -18985/1024, 
  129/64, -1/2, 81119/8640, 51/32, -2227/270, -33/32, 29/64, 51959/8640, 
  27/32, -77617/4320, 4357/192, -4443/640, 4903/1080, -497/384, -131/384, 
  -31835/384, -23/192, 526489/256, -797749/1152, 181/384, -25/64, -1/8, 
  -557/128, 19/96, 1/48, 1289/1152, 367/192, 9332395/12672, 10849763/21120, 
  -31/24, 177/128, -157979/1152, -5225111/5280, 99683/640, -699/32, 
  548369/7680, 299/16, 377/24, 548369/7680, -1709/96, 11/64, -275/384, 
  233/384, 1/4, 9/128, 22807/1152, -1971/64, 7/4, 41383/96, -21/16, 
  -3248345/1152, -95225/1152, -3457493/1152, 2441647/768, 19220/3, 495207/64, 
  446455/1152, -7127261/1728, -3151/1152, -1/4, 1/4, 3029/576, -3151/1152, 
  -1/4, 1/4, 3029/576, 55609/1152, 971/288, -85007/1152, -139/192, 3, 
  -181/384, -3340637/1152, -31819/384, -372559/128, -846725/384, -992371/384, 
  3716353/1152, 3716353/1152, 526489/256, 8051585/3456, -3617825/1152, 
  -58501/144, -5705285/768, 3151/1152, -9/4, 9/4, -10383/128, -3391/1152, 
  -3079/1152, -1, -3/2, -3677/288, -5311/576, 18539/384, 18539/384, 971/288, 
  -1/144, -3311/288, 21/16, 1971/128, 14911783/7040, -435079/3520, 97/288, 
  26873/384, -219/64, 101/24, -88087/1152, 1328939/26880, 243137/2304, 
  7739/96, 211/128, -3/2, -67/48, 3/32, 1061/96, -13/192, -3923/384, 3/2, 
  -11/48, -3/32, 441467/128, 479/384, 5972249/8448, -89767919/21120, 
  -161416667/63360, -53252117/21120, 9557459/126720, 648839/4224, 
  5225111/14080, 9833/2304, 9925/96, 332977/1152, 43788893/15840, 
  -7946591/2304, -2651/2304, -992803/288, -575099/192, -112485083/42240, 
  327075/128, 326979/128, 56258/45, 4074995/1152, 38284937/42240, 33589/2304, 
  -460151/144, -445423/576, -93989243/63360, -104942647/11520, 
  38332073/19200, 16593173/38400, -12531739/26880, -124187/640, -177073/3840, 
  -1727609/2304, 561333/2560, -1379/16, 543/4, -1081663/2560, 5986621/6400, 
  146199419/38400, -125257999/57600, 48691787/14400, 15026509/7680, -317/4, 
  -40, 65435/192, 45275/192, 1152689/7680, -165/2, 11279/32, 45/2, -21/16, 
  -2473529/11520, 2778281/11520, -1063603/5760, 135267/320, -1470317/23040, 
  -497/256, -136573/4608, -124261/4608, 271/256, -1523/256, -13/192, 3/2, 
  -227/32, -227/32, -919/768, 233/768, 3/32, -159/64, 149/384, -3/32, 25/32, 
  13/192, 11077/3072, -13/192, 11077/3072, -3/2, 227/32, 227/32, 295/768, 
  3623/1024, -905/1024, 919/768, -233/768, -3/32, 217/768, 115427/9216, 
  59/64, -149/384, 3/32, 109/64, 5/18, -1/8, 5/72, 89467/1536, 10269/640, 
  5/6, -4325/1152, -12739/576, -7601/192, -114221/2560, 23/3, 164881/4608, 
  136849/4608, -4, 5/18, 3547/576, 27281/512, -1/4, 8989/640, 28147/1152, 
  22799/576, 13799/960, -3/2, -27281/512, 27281/512, -27025/512, -26769/512, 
  -27281/512, -9149/640, 14851/1152, -335/144, -2483/1152, -547/384, 
  4573/1152, 54539/5760, 2055/64, 151/4, 3257/64, -7/16, -17/4, -9367/768, 
  -3481/64, -11081/768, 6139/768, 3509/128, -167/12, 122065/4608, 21457/4608, 
  114577/4608, 12817/4608, -1/8, 41/4, -2553/320, -3033/320, 1/8, 1573559/96, 
  7443/160, 3429/40, 5541479/1024, 352771127/15360, 1252517/1600, 
  2489253907/76800, -186217/1024, 1503649/240, -1337899/80, -26279/20, 
  2155/64, -1506431/3360, -491633/1680, 78433/384, 21/16, -85777/384, 
  -59179/384, -2239/64, 63577/1008, 396031/3360, -926171/3360, 5645/32, 
  -1723/16, -38453/160, -21/16, 1971/64, 21/16, -1971/64, 21/16, -1971/64, 
  -21/16, 208607099/63360, 9049197/704, 136133157/7040, 3016091/528, 
  45446909/5280, 1971/64, 1/4, -157/32, -129/16, -20147/1536, -67025/64, 
  -787439/384, 56639/1536, 18464551/4608, 97699/128, -360323/288, 
  -1092991/288, -60083/2304, 2779805/2304, 2569/2304, -1651/1152, 
  -233573/768, 3/2, -165941/128, 461/2304, -1, -1/4, -7/4, 1/9, -13963/4608, 
  1/24, 5443/4608, -1/24, -81/8, -3599/144, -16/3, 39151/2304, -869/72, 
  -5657/72, -14333/192, -629/144, 144649/768, 3083/288, 35/8, 35/18, 329/72, 
  -1/2, -383/72, 35/18, 755/144, -503/144, 5/12, -45/8, 73/8, 7/3, -43/4, 
  51/8, 43/4, -12713/576, -1231/16, -1/9, 10579/1152, 35911/576, 19207/160, 
  963/40, -20447/160, -16987/160, -18139/144, -18155/256, 18155/256, 
  -163403/2304, -17771/256, 17771/256, -159947/2304, -1497/160, 2813/16, 
  -253/20, 48841/320, 3067/320, -50321/320, -81289/480, -52301/576, 1497/320, 
  -54723/320, 1117/64, 3311/192, -3311/192, -9931/576, -1001/192, -615/64, 
  -5779/3456, 5779/3456, -21/16, -1001/192, -615/64, 146969/6912, 1007/6912, 
  -1001/192, -67427/6912, 146969/6912, -1543/1152, -6193/576, -2753/2304, 
  -205/384, 5279/384, -3865/384, 13616299/6912, 5075/768, -3379/384, -727/48, 
  -64993/9216, 423/128, -5079/256, 1747/576, -251/128, 217/1536, 
  3511789/4608, 2121419/4608, 35018599/13824, -1957133/2304, 409905/256, 
  1473785/864, -467287/864, -2255/256, -27/4, 4938595/4608, 175/96, 
  265085963/253440, -7/2, -209/32, 93/16, -26575/2304, -57966809/126720, 
  -817/144, -5262071/21120, -1287931/3072, 7142753/8448, 110824667/253440, 
  -6146675/9216, 93841/576, -3433483/4608, -1005437/1152, 518947/1152, 
  -2101265/4608, 3047567/2304, 615485/1536, -425401/512, -445166141/115200, 
  -67712887/14400, 579007769/57600, 337255219/57600, 90991697/38400, 
  -8281/192, -3763/16, 147541/768, -1033/24, -62075/256, -10279/32, 145/16, 
  2635951/15360, -147/4, -507471/5120, 136579/384, 6769/32, 9539/192, 
  -61553/128, 5075/32, -907/4, -6099/32, 71521/1280, 631193/3840, 
  1327693/5760, 7422769/23040, 1268203/11520, -14177291/23040, -1028653/2880, 
  10979/768, -882139/6144, -1213885/9216, -174541/2304, -5761/576, -3/8, 
  -721/128, -50783/4608, 3601/1152, 30157/18432, 40039/4608, -13531/6144, 
  368167/18432, -30002965/73728, -3173/768, 136189/3072, 89693/6144, 
  -30002965/73728, -6588113/73728, -3749/768, 9112457/73728, 5/288, 
  -4617/160, 5819/1536, 3384301/13824, 5/1152, -47641/1536, -16896371/13824, 
  38201/23040, -5/384, 254443/23040, -3023/384, -37/2, -611387/2048, 
  -61429/3072, -4991/384, -2789/1536, 731/256, 8245/768, 28687/1536, 
  34985/4608, 2645/1024, 186111/2048, -800801/6144, -210751/3072, 
  -39595/1024, 9/4, 103985/144, -569/768, -1541/384, 1487/192, -1551/256, 
  -1139501/18432, 575029/1152, 4178647/73728, 1873/288, -801347/4608, 
  -1111853/18432, 575029/1152, 1110975/8192, 1873/288, 474247/4608, 1415/576, 
  53/128, 3553/36, -540301/432, -3/4, -3418351/13824, -1579/1152, -19/24, 
  853123/3456, -941641/23040, 25993/15360, 406639/4608, -38390401/138240, 
  -3976337/27648, 9553/1152, -1807/1152, -11623/1152, 840451/11520, 
  -12755627/57600, 4347281/13824, 58109/216, -409259/13824, -1105/384, 
  6153/2048, 1069/288, -1/2, -370039/9600, -843491/11520, 296571/6400, 
  1389003/6400, 563/64, -11/12, 6235/128, 101/24, -430817/18432, -27281/1024, 
  -17/48, 78961/6144, -29/16, 20263/1152, -412097/6144, -257627/6144, 
  -26001/1024, 1023547/18432, 149369/9600, -149369/9600, -1/2, 20569/14400, 
  -1036769/46080, 49063/1152, -203899/9216, -8325403/76800, 22369/14400, 
  -297439/115200, -314861/11520, -133387/38400, 23462699/230400, 
  -127469/19200, 127469/19200, -15/8, -469/288, -56767/2304, 14071/256, 
  85103/1728, 27337/2304, 45409/2304, -82303/4608, 35237/4608, 7105/432, 
  25397/2304, 2075/288, -74999/4608, -188503/4608, 4657/432, 2818241/27648, 
  361693/10240, -156271/18432, 149663/23040, -64136261/276480, 13797/256, 
  1971/64, -48659/288, 46475/288, -46103/288, -7929/256, -1719/64, 
  -7528733/276480, -748759/9216, 7861267/276480, -28397/4608, -49921/1152, 
  55153/4608, 14285/4608, -7945069/138240, -14443/1152, -33019/4608, 
  2175641/138240, 148217/13824, 509/288, 1203521/13824, -4645/54, 
  -132649/3456, -28469/864, 2801/576, 2694905/13824, 39673/432, -7583/128, 
  950105/9216, 44261/576, -28993/288, -192461/1152, -828361/13824, 2497/1024, 
  44261/576, -959/64, -192461/1152, -466177/13824, 5/4, 146581/8640, 
  -4709/96, -326293/17280, -1171/108, 137941/17280, -766403/17280, 
  -352213/34560, 440873/17280, 3011/5760, 16083119/230400, -11300599/276480, 
  -12859073/276480, 1329205/27648, -204726781/1382400, -5/2, 11/4, 5/2, 
  202031601/6400, -922619/960, 14403383/5760, -121133/240, 391464013/19200, 
  -461657/1920, -56099071/5760, 783/32, -2559/128, 47/4, 671/32, 149/16, 
  13983/320, 669/64, 10649/64, -27751/160, -113243/320, 360587/3360, 1067/2, 
  -189/16, -16821/256, -453/16, 2495/32, 1357/16, 2777/64, -6, 4141/64, 
  221/8, 325/32, -1003/64, 2635/32, 501/16, 7707/160, -36331/480, -3071/30, 
  6, 426/5, -15807/160, -1279/90, -236963/6912, -163199/6912, 839/64, 
  -302/27, -1831/256, -3283/144, 1902571/3072, 377/64, 2251511/4608, 
  -3818677/4608, -742673/1536, 55139/1152, 14261/768, 443233/4608, 
  -114203/4608, 1121197/4608, 12601/3072, -2095243/2304, 262483/9216, 
  -4019/288, -70741/9216, 6359/384, 11/4, 29761/4608, 5/4, -1235/1024, 
  10769819/9216, -6387989/12288, -243329/9216, 9674989/4608, 1139/384, 
  -7138777/7680, -592319/3840, -349/96, 5217173/5760, 29/12, 6839/1152, 
  -1320137/3456, -5412149/11520, -162799/13824, 1451189/1536, 85517207/69120, 
  -5310089/5760, 30483457/27648, -14978005/13824, 1/8, -67/32, 
  -8234383/18432, -17657695/36864, -16231745/36864, -9569/4608, -13/96, 
  39502349/55296, -1007/2304, 83/32, -1/9, 57145661/27648, -143/96, -1, 
  -15461/1152, 72433/1152, 487/96, -7597/1152, -2609/48, -15569/576, 
  -15709/288, -6567/128, 183649/2304, 116015/1152, -68573/4608, -761/96, 
  18553/576, -114563/4608, -401/36, 131735/9216, -3611/1152, -69/32, 
  -1677247/18432, -61663/1152, 1161941/6144, 12605/1152, -43/16, 14323/1152, 
  138055/2048, 2123/96, -1328309/6144, -265/288, 119/8, -35437/720, 9413/96, 
  -75/32, 371/60, 105/32, 119/8, -6755/144, -8083/288, 175/16, 35437/720, 
  -14377/96, -37/120, 6809/144, 1295/24, 5333/1152, 1187/288, -30307/2304, 
  877/192, 44347/2304, 21665/1152, -12899/576, 35705/768, -31445/768, 
  -16723/576, 12923/1152, 65039/864, -319/36, -436775/9216, -1009/16, 
  788459/9216, 13217/192, -7597/256, 47297/1152, 5/16, -30833/1152, -7/96, 
  -205783/1152, -1805/48, 53093/1024, -3115/1152, -19489/1024, 15/4, -889/64, 
  157/32, -85/16, 2931/160, 25/16, 189/64, -5039/960, -52183/320, -319/32, 
  247/32, 103/16, 899/64, -3691/72, 25/16, -5873/2304, -443/192, -497/128, 
  443/192, 13955/2304, -5765/1152, -899/576, -22249/1152, 295/2304, 7231/576, 
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