{{1, -1/2, 1/2, -1/4, -1/4, 1/2, 1, 1/4, 1/4, -1/2, -1/2, -1, 1/4, -1/4, 3/4, 
  -1/2, 1/2, 1/4, -1/16, -7/16, -1/4, -1/16, 3/16, -1/4, -3/16, 1/4, 7/16, 
  -11/16, 15/16, 5/8, -5/4, -1/8, 1, 1/4, -9/8, -1/16, 1/16, 1/4, 1/16, 1/16, 
  1/8, 3/16, 1/16, 1/16, 1/16, -1/4, -3/16, -1/16, 1/8, 1/16, 1/16, -1/16, 
  -1/8, -1/16, -1/2, -1/8, 5/16, 1/8, 1/2, -3/16, -1/16, 1/8, 3/16, -1/4, 
  3/16, 1/2, -3/16, -1/4, -3/16, -3/16, 3/16, 3/16, -11/16, 11/16, 3/16, 
  -1/4, -1/8, 1/8, 1/8, 1/16, -5/16, -1/8, 3/8, -1/16, -9/16, -7/16, -1/16, 
  1/16, -1/16, -3/16, -3/16, 1/8, -1/8, 3/16, 1/16, -1/16, -1/16, 1/16, 1/16, 
  -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -1, 1/2, 1, -1/2, 1, -1, 
  -1/2, 1/2, -1/8, -1/8, -1/4, -1/4, -3/4, -1/4, 1, -1/2, 5/4, 1/4, 1/4, 1/4, 
  -1/2, -1, -1, -1/16, -1/16, 1/16, -2, -23/8, 1/8, -1/8, -3, 1/4, -1/4, 
  -1/4, -39/4, 1, 1/2, 27/4, 1/4, 1/2, 1/16, 1/16, -1/4, -1/2, -1/4, -1/2, 
  1/2, -5/8, -1/2, -1/8, 1/16, 3/8, 3/16, -1/4, 1/4, -3/2, 1/2, 1/2, -1/2, 
  -1/2, 1/2, 1, 1, -1, -1/2, -1/2, 1/2, -1/2, 5/16, -5/16, -3/8, -3/4, -1/8, 
  1/8, 5/8, 1/2, -1/8, -5/8, 1/2, -3/16, 5/16, 1/4, 1/2, -1/8, -1/8, 1/8, 
  -5/8, -1/2, 1/8, 5/8, -1/2, 1/4, 1/4, 1/4, 1/2, 1/2, -1/2, -1/4, 3/8, 1/4, 
  1/8, 1/8, -1/8, 3/4, 3/2, -3/4, -3/4, -2, -2, 2, 1/2, -1/2, -1/4, -1/2, 
  -1/4, 1/4, -1/8, 1/8, 1/8, -3/8, -1/8, 1/4, 3/8, -3/2, 2, 2, -2, 1, 2, 1, 
  -1, 1/2, -1/16, -3/4, 1/16, 1/4, 1/4, 1/8, -3/16, -1/4, 19/16, -1/4, 
  -19/16, 1/2, -1/2, 7/48, 3/4, 1/48, -1/4, -7/16, -1/4, -1/2, 1/2, 2/3, 1/2, 
  -7/16, -1/8, -1/4, 5/16, -1/4, 1/4, 3/8, -9/16, -1/4, 19/16, -1/8, -83/16, 
  -7/8, -8, -1/2, 1/2, -1/2, -1/8, 1/8, 1/16, -1/16, -1/4, 1/4, 3/8, 3/16, 
  5/16, -3/16, -5/16, -3/16, -5/16, 1/8, -1/8, -1/8, 3/16, 3/16, -3/16, 
  -3/16, -3/8, -3/16, 3/16, 3/16, -3/16, -11/16, 1/4, 7/8, 3/16, 11/16, -1/4, 
  5/16, 1/4, 1/8, 1/16, 3/8, 1/8, -3/16, -1/8, -3/8, 1/16, 1/16, -1/16, 1/12, 
  -31/48, 101/48, -1/16, -25/16, 31/48, -23/24, -1/16, 1/4, 1/4, -1/16, 
  79/384, 1/4, -1/4, 1/48, -1/16, -353/1152, 11/48, 1/2, -1/2, -2/3, -1/3, 
  -2/3, 1/3, 1/3, 1/6, 1/2, 1/2, -1/3, -1/2, -1/4, 1/4, 1/3, -1/3, 1/3, -1/6, 
  1/3, -1/12, -1/4, -1/4, 2/3, 1/4, 1/2, -1/4, -1/4, -2/3, 5/12, 1/6, 1/2, 
  1/4, -1/2, -5/12, 1/8, -1/8, -5/6, 2/3, 3/8, 5/6, -1/4, 17/24, 11/8, -2/3, 
  -17/24, 3/8, -5/16, -11/16, -31/16, -1/4, 7/16, 35/16, -13/8, -1/2, 23/16, 
  39/16, -3/16, -5/16, -5/8, -5/16, -1/4, -3/8, -1/4, 3/4, 3/4, 1/4, -7/16, 
  -3/8, -11/16, -1/8, 11/16, 5/16, -1/8, 5/16, 3/16, 11/8, 11/16, -7/16, 
  -21/16, 9/8, 1/2, -3/4, -29/16, 3/16, 1/8, 1/16, 5/8, 1/4, -5/16, -1/8, 
  -5/8, -3/16, -7/16, -1/4, 3/16, -1/2, 7/16, -11/16, 7/16, 3/16, -1/16, 
  17/16, -3/16, -3/8, 19/16, 23/16, -19/16, 1/8, -1/8, -1/8, -1/16, -3/16, 
  1/8, -5/8, 1/8, 3/16, -9/16, -9/16, 3/8, 9/16, -1/16, 1/8, -1/16, -5/16, 
  1/16, 3/16, -1/8, -1/8, 9/16, -11/16, -5/8, -1/16, -1/16, 1/4, 1/16, 1/16, 
  -1/16, -3/8, 11/16, -13/16, 3/16, 1/16, -11/16, -3/16, 9/8, -3/8, -9/8, 
  -1/16, -31/32, 11/16, -5/16, 23/32, -11/16, -9/32, -27/32, -7/32, 11/32, 
  -11/32, -47/16, 3/8, 11/32, -1/2, 15/16, -1/16, 5/16, -19/16, 5/8, 3/16, 
  19/16, -1/8, 13/32, 45/32, -1/2, -13/32, 1/16, 1/16, -1/16, -1/16, 1/8, 
  3/16, 1/16, -1/8, 1/16, 1/16, -5/16, 7/16, -1/8, 3/8, 1/16, -1/16, 1/8, 
  1/16, 31/144, -89/144, 23/72, 23/64, -31/144, 19/36, -1/8, 31/144, -59/576, 
  -5/24, 31/144, 13/144, 5/24, -17/144, -13/144, -7/72, 1/4, -1/4, -3/8, 
  -1/4, 35/144, -1/3, 1/6, 13/48, 1/12, 1/4, 1/4, -43/144, -1/4, 1/16, 9/16, 
  -1/2, -3/8, -5/16, 11/16, 3/8, -1/8, -5/16, 5/16, -5/16, 23/16, 3/4, 5/16, 
  -1/16, -3/8, -3/16, 7/8, 1/2, -13/16, -21/16, 3/16, 1/8, -1/8, -1/8, -1/8, 
  1/8, 1/8, -1/8, 1/8, 1/8, 1/8, -1/8, -1/8, 1/8, -1/8, -1/8, -5/16, 9/32, 
  1/8, -9/32, 3/16, -3/32, -7/16, 1/4, -3/16, 1/32, -1/8, -17/16, 11/16, 
  -5/16, 15/32, -3/16, -5/32, -25/32, -7/32, 9/32, -13/32, -23/16, -1/8, 
  13/32, -6, -1/2, -1/4, 1, -55/4, 1/2, -1/4, 1/2, 1/8, -1/16, 3/16, 223/192, 
  25/2, 2341/192, -5/4, -1343/384, -1295/1152, 13/6, 1/2, 1/4, 21/8, 1/8, 
  -1/8, -1/16, -1/4, 3/16, 15/8, -1/2, -1/2, -1/4, -5/8, -1, 3/8, 1, 5/8, 
  7/2, 1/4, -11/2, -1/6, -2/3, -4/3, 1/6, 5/8, 1/4, -19/8, -1, -15/8, -1/2, 
  -13/16, -3/16, 3/4, 1/8, -5/8, 9/4, 7/8, 11/8, -5/8, -3/4, -1/8, 5/8, -1/2, 
  7/2, -1/4, 7/2, 3/8, -27/8, -5/8, -3/8, 1/2, 3/8, 1/4, 1/8, -1/8, -1/4, 
  21/8, 3/2, -21/8, -21/8, 21/8, -2, -37/8, -21/8, 765/64, 3707/576, 
  5537/576, -5537/576, 3/4, -32491/1152, 113/32, -19643/576, 1/216, 
  -1379/192, -3917/216, 539/54, 4069/576, -37/288, -3/16, 5/9, 1/4, 1/2, 
  181/144, 1, -19/9, -23/8, -2, 671/216, 133/48, -187/216, -1103/216, 
  -145/144, -365/18, 3311/48, -2053/192, -91/144, -765/64, 91/144, -5/48, 
  -3707/576, -5537/576, 5537/576, -3/4, -2, 1723/24, 3/2, 7/24, -3469/144, 
  3337/48, -12119/384, 4799/3456, -4799/3456, -5/48, 281/144, 765/64, 
  -263/144, -23/48, 3707/576, 3331/864, -1391/384, -3385/864, 1/4, -959/1152, 
  63935/3456, -755/768, -847/216, -7721/576, 101/256, 3043/288, -3/2, -61/64, 
  -2899/288, 3/4, 568273/27648, 781/768, -375689/27648, -47489/3072, -91/256, 
  -13/6, -5/6, 5/6, -4/3, 13/12, 5/12, -5/12, 2/3, 1, 7/16, 41/48, -7/3, 
  -17/9, 175/144, -4/9, -89/36, -1/12, -1/4, 1/4, -5/3, 9/4, 2, 5/4, -2, 2, 
  2, -17/4, 23/16, -97/48, 25/48, 15/16, -1/16, -11/16, -1/4, 21/16, 39/16, 
  -23/8, 41/16, -7/16, 15/4, -13/16, -125/48, -1/4, 113/48, 101/48, 1/16, 
  -3/16, -3/8, -1/16, -1/16, 1/2, -5/4, 3/4, 1/2, 3/4, -27/8, 23/8, 63/16, 
  15/8, 61/24, -23/16, -25/48, -59/48, -5/4, -1, 1/4, 5/4, -7/12, 1/8, -1/8, 
  -3/16, -23/16, -1/16, 21/16, 7/8, -17/16, 1/2, 1/4, -1/4, -1/2, -75/16, 
  -35/16, 59/16, -23/16, 33/8, -41/16, 11/16, -1/4, -5/4, -9/4, -1, 5/4, 
  -3/2, -5/4, 1/2, 23/4, 19/4, 5/4, 3/8, 5/4, -1/2, 1/2, -1/4, -1/2, 1/2, 
  -1/2, -7/8, -185/32, -1/16, -1/8, 1/8, -19/8, -1/2, -13/24, -13/24, -31/12, 
  -2/3, 13/6, 31/24, 5/3, 43/24, -19/24, -5/24, 13/24, -13/12, 5/24, -9/16, 
  -5/16, 3/8, 1/8, -15/16, 1/4, -7/8, 1/4, -1/2, 1/16, -3/16, 19/16, 3/8, 
  1/2, 1/8, 15/8, 11/8, -29/8, -15/8, -1/16, -1/2, -27/16, 5/16, 1/8, 1/8, 
  -1/8, -1/8, -1/8, 1/8, -5/16, 7/16, 5/16, -1/16, -3/8, -11/16, 1/8, 13/16, 
  13/16, 13/8, 31/16, -9/16, -25/16, 17/8, 47/16, -13/4, -17/8, 17/32, 
  -19/48, -1/4, -18527/1728, -1/12, 113/96, 1/4, -755/384, -35/24, 77/128, 
  5/16, 127/48, -65/64, -14/3, 529/216, -81/128, -1015/216, -107/108, 
  575/1152, 3/2, 247/192, -2299/1152, -29/16, 1, -361/144, -2, -9965/144, 
  3/2, -1123/48, 1107/16, 35/96, 2551/384, -5/12, -37/8, 23/96, 3809/1728, 
  -8473/3456, 5399/1152, 765/64, -601/144, 3707/576, 17/48, 55/96, 11/16, 
  95/48, -39/128, -125/48, -41/48, -109/64, -6249/1024, 1/2, 6287/576, 
  -23/16, -905/1152, -6143/576, 3/4, 1/2, 17/96, -1/2, -1/144, -49/288, 3/4, 
  103/72, -1/3, -19/9, -463/288, -7/24, -103/144, 59/144, 1/16, 29/72, -1/16, 
  -145/144, -127/144, 79/72, 65/72, -43/144, -115/96, -35/96, 23/48, 11/24, 
  -51/32, -23/48, 7/24, 27/32, -83/96, -163/96, 37/48, 11/96, -1/2, -1/16, 
  61/16, 3/8, 3/8, -7/2, -3/8, 33/16, 61/24, -35/8, -125/48, -7/6, -3/8, 1/8, 
  1/2, -3/16, -3/16, 3/8, 1/4, -13/8, -3/16, 3/4, 11/8, -19/16, 15/16, 13/16, 
  -27/32, 1/4, 35/32, 11/16, -19/16, 25/32, -51/32, -1/8, -17/32, 5, 17/16, 
  -25/32, -3/4, 5/8, 1/8, -1/2, -1/8, -1/8, 1/8, -1/16, -19/8, -23/16, 3/16, 
  9/8, 25/8, -1/8, 87/32, 1/8, -1/8, 15/8, -11/16, 3/16, -9/8, 41/36, -19/3, 
  -5/72, 191/144, 1/8, 35/18, 433/144, -1/36, 4/9, 3/4, -1, -9/4, -3/4, 
  -61/24, 139/16, 3/16, 125/48, 1/16, -1/16, -9/16, -1/4, -13/16, -115/16, 
  -17/8, 201/16, 129/16, 1/2, -41/24, -41/24, -17/4, -5/24, 7/4, 5/2, -7/2, 
  -11/4, -5, -121/36, -877/288, -13/4, -347/288, 10025/576, -12145/1152, 
  -96443/9216, -43735/1152, -1595/384, -443/192, 1075/32, 80053/1152, 
  6439/64, -113/32, -773/384, 3259/1728, 65/54, -509/128, -787691/9216, 
  151/32, 190475/4608, 1740929/27648, -1483/576, 3355/48, -2977/24, 
  -23981/96, 113507/4608, -1613/192, 13969/432, 2719/192, -8189/576, 
  -57613/1536, 5821/576, -53/16, -709/288, 91/48, -469/288, 119/288, 
  -253/288, 49/48, 59/48, -571/288, -41/16, 55/48, 1/3, -13/16, -235/48, 
  53/16, 443/48, -443/48, -1/16, 227/32, 3/16, -3/16, 77/16, -3/2, 3/2, 1, 
  -3/2, -1, 1/4, 1/4, 1/4, -1/4, 1/2, 1/4, -1/4, 1/4, -1/4, -3/8, -5/8, 17/8, 
  3/8, -1/8, -1/2, -1/2, 1/2, -3/2, -1/2, 1/2, -3/2, 1/2, 3/8, -9/4, -1/8, 
  1/2, 1/2, 1/2, 3/2, 1, 3/2, -1/4, -3/4, -1, 1, -1, -1/2, -3/16, 1/2, 3/16, 
  3/16, -1/16, -3/16, 1/16, -21/16, -1/2, 13/16, 9/16, -1/2, 13/16, 1/8, 
  7/16, -9/16, 3/8, 1/16, -1, -1/16, 1, 1/16, -5/4, 7/8, 5/8, -25/8, -3/4, 
  1/8, 1/2, 1/2, -1/2, -1/2, 9/4, 5/8, -1, -3/4, 13/8, -15/16, -1/8, -5/16, 
  7/16, -5/8, -7/16, -9/16, -1/8, -13/16, -13/16, 5/8, 5/16, 13/16, -3/16, 
  -5/8, -5/8, 1/4, 5/8, 7/16, 1/8, 73/16, 15/16, -53/16, -3/16, -61/16, 1/8, 
  3/8, 3/4, -1/8, 1/2, 1/8, -1, -1/8, 1/2, -1/8, 1/8, 1/8, -1/8, 7/8, 1/4, 
  -7/8, -3/8, 1/4, 1/2, 1/8, -1, -1/8, 1/2, -3/16, 23/16, -1/16, 3/4, 1/8, 
  1/2, -1/8, 3/8, 3/8, 1/2, 1/8, 7/16, 3/4, -13/16, -1/2, -1/4, -11/16, 1/8, 
  3/8, 3/8, -3/8, -3/8, 1/16, -1/16, -1/16, -1/16, 1/16, 1/16, -1/16, 1/16, 
  1/16, 3/2, 1, -3/2, -1, -3/2, 3/2, 3/2, 1, -1, 1, -3/2, 3/8, -1/2, 1/8, 
  1/2, 5/8, -1/2, -3/8, 3/8, -3/8, -3/4, 11/4, 9/8, -1/2, -1/2, -3/2, -1/2, 
  -17/8, -113/384, -755/1536, -701/1152, 19643/6912, 101/512, -5/4, 
  -2015/576, 475/108, 377/216, -1147/576, -113/384, -755/1536, -701/1152, 
  19643/6912, 101/512, 175/96, 1871/576, -4655/864, -3805/1728, 1003/576, 
  -113/384, -755/1536, -123/128, 19643/6912, 101/512, -5/4, -1799/576, 58/27, 
  377/216, -1219/576, 1/2, 1/2, 1/2, 3/2, 1/4, 3/2, 3/2, -2, -17/12, 17/12, 
  -7/12, 2/3, -5/8, -23/4, -7, 3/8, -73/8, 4, 21/8, -3, 1/4, 11/2, -1/8, 
  -3/8, -1/4, 3/8, 1/4, 43/8, 3, -17/8, -11/4, 29/8, -29/8, -1/2, -7/8, 1/4, 
  -47/4, 1/2, -27/8, 21/4, 1/8, 71/8, -1/2, -1/2, -3/2, -1/2, -3/2, -83/8, 
  1/4, 1/4, -1/4, -1/2, -1, -1, -15/16, 15/16, 3/16, -5/4, -5/4, 1/2, -1/4, 
  3/4, 3/2, -1, 11/16, 1, 7/16, -15/16, 1/4, 15/16, -1/4, 15/16, 1, -25/8, 
  -7/16, -1/2, 3/4, 3/4, -1/4, 1/4, 5/4, -3/8, 15/8, -9/8, -1/4, -1/8, 3/2, 
  3/8, 3/8, 3/8, 5/8, 3/8, 5/8, 1/4, -3/8, -3/8, -7/8, 113/192, 755/768, 
  701/576, -19643/3456, -101/256, -113/192, -755/768, -113/72, 19643/3456, 
  101/256, -1, -263/576, -61/192, 1, -1/2, 113/192, 755/768, 95/72, 
  -19643/3456, -101/256, 839/576, 119/576, -7/18, -839/576, 1/2, -1, 
  -263/576, 35/192, 1/4, -1/2, 11/12, -3/2, -3/2, 3/2, -7/6, 1/12, 1/12, 
  -1/12, -3/2, -1/12, 7/4, 3/2, -6, -25/4, -7/4, 47/8, -69/8, 17/4, 25/4, 
  63/8, -5/8, 167/8, -13/8, 25/8, 21/4, 5/8, -1, 27/8, 7/8, 2, -1/2, 23/2, 
  13/4, 4, 3/4, -15/4, -1/2, 13/8, -25/8, -23/4, -5/8, 1, 3/8, -1/8, -5/8, 
  1/4, -3/4, 3/4, 3/4, -1/8, -17/16, -1/8, -19/16, -19/16, 19/16, 1/4, -1/4, 
  -1/4, 1/4, -1, -3/2, -5/4, 1, 13/4, 13/4, -13/4, -1/2, 1/2, 3/4, -1/4, 
  -19/8, 3/4, 17/8, 11/8, -1, 15/16, -15/16, 1/4, -19/16, 29/8, 19/16, 
  -39/16, -25/8, -7/4, -9/4, 7/4, -5/2, -5/2, 5/2, -3/8, -7/4, -3/8, 3/8, 1, 
  -3/16, -1, 3/16, -9/4, -3/16, 1, 1/4, 1/8, -3/8, 7/8, -15/8, -5/8, 1/2, 
  -107/144, -1/2, 95/144, -3/8, -35/24, 1/2304, 269/432, -335/288, -1871/576, 
  1765/432, 1261/1728, -1003/576, 1/2, 2/3, 11/24, -1/2, -1, -2/3, -5/24, 1, 
  -1/4, 4/3, 5/4, -1/3, -31/24, 7/24, 1, 35/16, 1/8, -33/16, -1, -9/4, -7/16, 
  27/8, 1/4, -39/8, -23/8, 83/8, 27/8, 29/4, 1, -1, 1, 13/16, 15/16, -13/16, 
  -1, -3/16, -1, 1, 3/4, 3/8, -1/2, -3/8, 1/2, 7/8, 1/8, 1/4, -1/8, 1/2, 1/4, 
  -1/2, -1/4, -1/2, 1/4, 1/4, -1/4, -3/4, 13/16, 5/8, -33/16, 3/4, 3/4, 
  -35/16, -3/4, 3/8, -9/8, -3/8, -1, -15/16, -1/8, -23/16, -7/16, 19/16, 1, 
  3/16, 27/16, -7/8, -3/4, 7/8, -31/96, 7073/2304, 1469/384, -19597/4608, 
  -37597/6912, -113/192, -755/768, 269/1152, 19643/3456, 101/256, 31/96, 
  31/96, -9989/2304, -1469/384, 23749/4608, -31/96, 44113/6912, 113/192, 
  755/768, -269/1152, -19643/3456, -101/256, 31/48, -31/96, 6161/2304, 
  1517/384, -14989/4608, -31/48, -41857/6912, -113/192, -755/768, 295/1152, 
  19643/3456, 101/256, -3/8, 83/72, 1/8, 21103/6912, -461/1152, -12319/6912, 
  -215/432, -11/6, -20159/6912, 377/432, -31/64, -47/576, -191/384, -1/64, 
  -1/2, -1/2, 1/2, 2/3, 3/4, 2/3, -1/3, -3/4, -1/6, -1/2, -1/2, -1/12, 1/2, 
  1/2, -1/2, -2/3, 5/12, -2/3, 1/3, -5/12, 1/6, 1/2, 1/2, -13/12, -1/2, -1/2, 
  1/2, 143/48, 3/2, -29/16, 2/3, -1/3, -25/16, -1/6, -1/2, -1/2, 7/3, 1/2, 
  -1/12, 1/2, 7/12, 1, 1/2, 1/12, -7/12, -1/2, -7/6, -7/6, 23/12, 7/6, -1/2, 
  -7/4, 3/4, 193/16, 27/4, -71/16, -7/8, -13/8, -215/16, 7/8, -5/2, -39/8, 
  29/4, 13/8, 33/4, -39/16, -7/4, 3/4, 9/4, 7/4, 5/16, 21/16, -13/8, -33/16, 
  7/8, -181/16, -41/4, 7/16, 159/16, -9/8, 7/2, 15/8, -3/4, -109/8, -2, 4, 
  -15/8, 15/8, 73/8, -9/8, 33/4, 81/8, -27/2, -81/8, -87/8, -1, -15/16, -1/8, 
  -75/16, -33/16, 53/16, 1, 3/16, 79/16, -27/8, -7/2, 2, 31/8, 1, -7/8, 7/8, 
  -17/8, -17/8, 17/8, 3/8, 17/8, -5/4, 5/8, 5/8, -5/8, -1/2, -1/8, 3/2, 1/8, 
  -1, 3/16, -35/16, 1/16, -3/16, -1/16, 5/16, 3/16, 7/8, 17/16, -15/16, -5/8, 
  1/16, 3/4, -13/16, 7/16, 1/8, 9/8, -1/4, -1/16, 5/4, 7/16, 3/4, 17/16, -2, 
  -1, -3/8, 3/2, -3/8, -7/8, 3/2, 5/2, -35/8, -2, -5/2, 23/8, -3/2, -2, 3/2, 
  1, 19/16, -7/8, 1, 17/16, 9/4, -35/16, -21/16, -21/16, 19/16, -5/16, 3/8, 
  1/4, 5/16, 5/2, 1/8, 1/8, -5/4, 5/4, -11/4, -3/8, -5/4, 1/4, -5/16, -41/16, 
  -3/8, 5/16, -1/2, -3/16, 1, 3/8, -1/2, -3/16, 1/4, -7/16, -1/8, -27/16, 
  -15/16, 3/16, 1/2, 3/8, 15/16, -1/4, -7/8, -5/16, 13/16, 3/16, -19/16, 7/8, 
  -1/16, -9/16, -1/4, -1/8, 1/4, -31/96, 83/72, -227/288, 6329/6912, 25/32, 
  -15253/13824, -3139/2304, -31/96, 7189/2304, 1469/384, -19309/4608, 
  -36073/6912, -113/384, -755/1536, 485/576, 19643/6912, 101/512, -23/48, 
  -11/24, 13/16, 23/48, 13/48, -13/16, 3/16, -1/2, 1/2, 79/48, -1/4, -71/48, 
  2/3, -1/3, 11/48, -1/6, -1/2, -1/2, 11/8, 1/2, -1/2, -3/16, 1/2, -35/16, 
  -1/8, 1/2, 9/4, -1/2, 1/4, -7/16, -1/8, 15/16, 11/8, -57/16, 1/2, 3/8, 
  -19/16, -1/4, 9/4, 31/16, -3/4, -5/2, -33/16, -17/8, -11/8, 21/16, -1/2, 
  -5/8, 91/8, 85/8, -11, -41/4, 7/8, -1/16, 1/16, 1/16, 1/16, -1/16, -1/16, 
  1/16, -1/16, -1/16, -1/16, 1/16, 1/16, -1/16, 1/16, 1/16, 1/2, 3/8, -7/16, 
  -1, 3/4, 7/16, 1/2, -9/8, -1/4, -3/16, 1/8, 15/8, 9/8, 9/8, -1/2, -3/8, 
  -25/16, 1/4, 1, -1/8, -7/8, 5/8, 45/16, 9/8, -25/16, -11/16, -23/16, 9/16, 
  -5/16, -7/8, 1/8, 5/16, 13, 15/4, -25/8, -5/4, 105/4, -1/2, 7/8, -1, -1, 
  -15/16, 7/4, 1/16, -11/4, -1001/1152, -544/27, -431/216, -25111/1152, -1/2, 
  1723/72, 3/2, 55/72, -2189/864, 589/128, 3143/864, -5311/1728, 1105/1152, 
  731/1152, -7901/2304, -4039/1728, 64591/6912, -2083/2304, 4/3, -1/2, 7/6, 
  -7/6, -1/4, 391/288, 3/2, -2, 1, -11/16, -89/16, -1, -29/16, -1, 4, -9/16, 
  -33/8, 9/8, -13/8, 1/2, 1, 61/64, 15/16, -15/16, 5/4, 85/24, 5/4, 5/4, 
  -11/8, -2, -11/8, -7/4, -1/8, -11/12, 1/4, 97/24, 7/4, 11/6, 1/4, -7/4, 
  -5/4, -51/8, -17/4, 11/8, -27/4, 3/8, 3/8, -3/4, -1/8, 17/4, 3/4, -3/2, 
  -7/8, 81/8, 1/4, 43/8, 45/8, -5/4, 1/2, -7/4, 1/4, -1/8, 1/8, 3/8, 1/8, 
  -7/4, 3/8, 13/8, -19/16, -3/8, -2, -19/16, 13/16, 2, 3/8, 1/8, -11/8, -9/8, 
  11/4, 11/8, -11/8, 25/8, 7/2, 11/8, 113/64, -19643/1152, -281/9216, 329/96, 
  5861/1152, -13547/1728, -8129/576, 3113/1152, -88957/9216, 5105/3456, 
  -4673/3456, -765/128, 4673/3456, -3707/1152, -3493/864, -1577/2304, 
  -141569/27648, 3509/384, 5/256, 755/1024, 3775/3072, -3775/3072, -755/1536, 
  281/9216, 32491/2304, 281/9216, -2861/1024, 302963/9216, -281/9216, 
  -525/1024, -6595/9216, 5/6, -149/1024, -217/4608, -2897/1152, 54961/4608, 
  147397/3456, -28175/6912, -20141/4608, -2515/576, -4853/1152, 16319/1728, 
  2629/192, -4553/1152, -25/12, 3557/1152, -4327/864, -5609/576, -6967/1152, 
  -107/36, -4363/576, -1985/576, 251/36, 217/96, 365/36, -228899/9216, 
  3343/864, 5765/3456, 765/128, -5765/3456, 5/96, 3707/1152, 3235/864, 
  1001/2304, 142913/27648, -10183/1152, -5/256, 1, -1723/48, -3/4, 
  88957/27648, -7/48, 6677/288, -737501/9216, 90431/3456, -4799/6912, 
  4799/6912, 5/96, -8123/3456, -765/128, 11939/3456, -17/48, -3707/1152, 
  -10567/3456, 621/128, 15031/3456, -5743/1728, 1585/1152, -297029/27648, 
  43/144, 297029/27648, -8705/1728, 1303/2304, -172193/27648, 1297/128, 
  5/256, -89315/6912, -6851/2304, 9535/2304, 54097/6912, -37/256, -2/3, -2/3, 
  17/12, 5/6, -5/6, 7/12, -443/288, -161/144, 161/144, -121/288, -19/8, 19/8, 
  19/8, -23/12, -5/6, 5/6, -13/12, 527/96, 365/72, -365/72, 121/288, -1, 
  -73/576, 73/576, 73/576, -19/6, -11/24, 3/8, -85/24, -895/192, -229/64, 
  229/64, -23/8, 1/16, -37/48, 13/4, 281/72, -125/144, 11/36, 227/72, 23/12, 
  17/12, -17/12, 31/12, -395/96, -343/72, 235/72, -11/18, -515/288, -365/72, 
  -137/48, 197/144, -121/288, -257/72, -5/2, 4, 55/288, -155/16, 31/16, 35/4, 
  -193/16, 61/8, 31/8, -13/16, -63/8, 71/16, -5/4, -31/8, 2, 63/8, -1/2, 7/2, 
  1/8, -23/8, -7/2, 33/16, 9/4, 17/16, -17/8, -11/16, -13/2, -21/4, 5/4, 
  23/4, -1/4, 1/2, 9/4, -1/2, -3, -17/8, 17/2, -29/8, -31/16, -47/8, 15, 
  63/16, 13/16, -17/8, -47/16, 3/8, -7/8, 15/16, -1/4, 37/16, -17/2, -7/4, 
  -1/8, 6, -169/16, -17/4, -37/16, 39/16, 17/4, 25/8, 39/8, 39/8, -35/8, 
  -13/8, -1/4, 7/8, -43/4, 15/8, 13/4, 3/8, -15/8, 3/2, -9/4, -9/4, 9/4, 
  -1/8, 5/8, 1/2, -1/2, -3/8, -19/8, -17/8, 3/4, -5/8, -3/4, 7/16, -5/8, 
  -1/4, 1/4, -3/2, 15/8, 9/8, -7/4, -3/2, -1/4, -1, 1, -7/8, 153/64, 173/32, 
  -1/8, 11/8, 17/16, 37/8, 9/64, 19/16, -19/16, 31/8, 1/2, 4/3, -1/4, -19/48, 
  -65/24, 7/48, 2/3, 3/4, 25/48, -7/6, 5/3, 9/4, -7/24, -5/3, 11/2, 9/2, 5/8, 
  -15/16, -15/8, -13/16, -53/8, -5/4, 5/16, 5/8, 61/4, 13/8, -9, -101/8, 
  77/8, -1/2, -5/8, -3/4, 1/2, 7/8, 11/8, 13/8, 7/8, -7/8, 11/8, 7/4, -7/8, 
  -5/8, -1, -15/16, 1, 15/16, 3/4, -1/4, -15/16, 1/4, 1/16, -5/4, -1/16, 1/2, 
  1, -3/4, -19/8, -9/4, -11/8, -1/4, 33/8, 11/8, -11/8, 1/2, 5/2, 11/8, 
  79/64, 15913/9216, 1/2, -19093/3456, 2593/768, 14239/2304, -27977/3456, 
  -71393/2304, 18881/1728, 19643/1152, -1571/1536, -1/2, 11881/2304, 
  146381/9216, -281/9216, 10/3, -55/36, -3/4, -141/8, -303/128, 288931/13824, 
  -1435/432, 1387/192, 53485/2304, 13/54, 217/576, 16373/1152, 12329/3456, 
  -425/64, 7577/1152, -1/2, 1723/144, 1/4, 215/9, 365/128, -41723/4608, 
  -202939/27648, 3251/6912, 377/288, -97261/9216, 139937/13824, -6437/1728, 
  -169/128, 116407/13824, -25/32, -22693/4608, 1799/6912, 581/3456, 
  -5227/1728, -765/128, 7715/3456, -5/96, -3707/1152, 4193/2304, 931/1152, 
  -7/8, 13973/13824, 10465/2304, 7927/1728, -5287/1728, -419/384, 
  -299899/27648, 8569/6912, -15841/3456, -3593/2304, -140285/27648, 5503/576, 
  5/256, -1/4, 395/384, 563/384, 3/4, 29/128, -395/384, -391/192, -29/128, 
  73/128, -683/384, 135/128, 169/384, -493/384, -121/48, -25/48, -13/24, 
  3/16, 15/16, 19/16, -15/16, 27/16, -5/24, -9/4, 3/16, 11/8, 871/576, 
  -293/576, 91/48, -151/576, 271/64, -541/192, -41/12, -319/64, 73/48, 
  -1123/576, -3313/576, -403/144, 1181/576, -11/96, 19/16, 1/8, -1, -53/16, 
  1, 3/4, 9/16, 43/8, -3/4, 25/16, -7/2, 55/16, 67/16, 57/4, 11/8, -13/16, 
  -33/16, 7/8, 13/16, -15/8, -3/8, -2, 1/2, -5/4, -11/8, -15/16, -21/16, 
  -151/16, -59/8, -17/8, 15/16, 11/8, -91/16, -9/4, 85/8, 33/16, 95/16, -2, 
  -31/16, 37/8, -5/4, 19/16, -87/8, 7/16, 3/4, 1/16, 9/32, 3/8, 1/2, -1/2, 
  9/8, -1/2, -1/4, -9/8, 7/8, -2, 19/8, -2, -5/4, -21/32, 13/16, 13/32, 
  -15/16, 9/4, 1/4, 15/16, -1/4, 37/32, 3/4, -17/8, 69/16, 35/8, 2293/1152, 
  -457/384, 253/48, 235/1152, 391/144, -5/6, -3, -77/48, -19/24, -13/8, 
  -791/288, 45/16, 383/72, 1069/288, 209/288, -5/4, 7/2, -17/4, 7/4, -33/8, 
  29/8, 2, 3/16, -7/2, 15/16, 11/4, -55/8, -73/8, -9/2, -1, -21/16, 5/48, 
  11/12, 87/32, -13/48, -7/8, -3/4, 7/4, 11/8, 13/4, 1027/576, 553/288, 13/8, 
  59/288, -173843/27648, 4987/2304, 38153/3456, 191663/6912, 34187/9216, 
  -18697/6912, 563/192, -15307/1728, 26483/2304, 421/288, -27859/1152, 
  -16423/576, 852019/27648, -122539/1728, -12805/192, 577/192, -2735/384, 
  -577/72, 2405/288, -1121/1152, 359405/6912, 1879/192, -343895/27648, 
  -92687/1728, 14/3, -714887/27648, 377855/4608, 911531/6912, -535255/27648, 
  27065/4608, -21225/1024, -6277/768, 305035/27648, 566773/27648, 
  -13193/2304, 307/48, 1033/144, -2195/1152, -19/12, -389/288, -3/16, -29/48, 
  -187/48, 263/72, 97/24, 25/16, -7/24, -89/48, 27/8, 7/8, -11/4, -9/8, 21/8, 
  27/8, -29/4, -41/16, -11/8, 13/8, -47/4}}
