{{1, -1, -1, 1, -1/4, -1, -1, 3/4, -3/4, -3/2, 1/4, -2, 1, 1, -1/2, -1/2, 
  3/4, 1/2, -1/2, 2, -3/4, 1, 2, -1, -1, -2, 3/2, 1/4, 1/4, -3/8, 1/8, 2, -1, 
  -2, 1/2, 1/2, 3/4, -3/4, -3/2, 3/2, -1/8, -1/2, -3/8, 7/8, -3/8, 3/4, 3/2, 
  3/2, 7/4, 1, -3/2, -2, -3/4, 3/2, -1/2, 3/4, -1/4, -1, -3/2, 11/4, -1, 1, 
  1/8, 3/4, -3/8, 3/8, -3/2, 3/8, -3/8, -3/8, -3/8, -1/2, -7/2, 7/2, -3/2, 
  -3/4, 23/8, 3/8, -5/8, -1/4, -1/4, -1/8, 1/8, -3/8, -9/16, 9/16, 3/8, 21/8, 
  9/8, -45/32, -3/32, -21/8, -3/8, -1/2, -47/64, -49/64, 17/16, 47/32, 37/32, 
  -35/64, -19/32, 11/64, -1/4, -13/64, 13/64, -1/8, -3/8, -21/8, -21/8, 
  27/32, -29/32, -11/8, 21/8, 21/4, 9/32, 3/8, -21/8, -3/8, -1/2, 13/32, 
  57/32, -47/32, 17/32, -3/8, 47/32, -11/16, 27/32, -19/32, 15/32, 3/32, 1/2, 
  -11/32, -1/4, 9/64, -9/64, -9/16, 45/64, -9/16, -15/32, 1/2, -23/32, 11/16, 
  -31/64, 27/64, -11/16, 45/64, -1/16, 55/64, -41/64, -1/16, -1/4, 7/16, 
  9/16, -29/64, -29/64, 1/8, -7/16, -11/8, 1/32, 23/64, -1/8, 13/16, 3/32, 
  1/2, 15/64, -9/64, 49/64, 41/64, -75/64, -9/32, -33/64, 35/64, -11/64, 
  -11/64, 3/64, 1/2, -1/2, 1, -1, 1, 1, 5/2, -3/2, -1/2, -1/4, -2, 1, -1, 
  3/4, -1/4, -1, -1, 1/2, -5/2, -5/2, 21/8, -15/4, -3/4, 15/4, 1/4, -15/4, 
  -15/4, 3/8, 15/4, -47/8, -21/8, 47/8, -1, 1, 1, 1/4, 1/2, -1/2, -1/2, 1/4, 
  -1/2, 1/2, 1, -17/4, 2, -1/4, 1, -3, -2, 35/4, 7/4, 19/8, 49/8, -1/4, 
  -27/16, -219/64, 149/64, 23/16, 3/8, -203/32, -139/32, -115/16, 179/32, 
  -5/4, 2, -1/4, 1/2, 5/4, -2, -13/4, 11/4, -1/2, -1, -1/2, 1/2, 5/4, -3/4, 
  -1/2, 1/4, -3/2, 3/2, 3/2, 9/8, -9/8, -3/4, -1/8, -1/4, 3/4, 1/4, -3/4, 
  -1/2, 1/4, -1/4, 1/2, 3/2, 3/8, -3/4, 183/64, -183/64, 5/4, 125/64, 
  -125/64, -141/64, 245/64, -215/64, -261/64, -1/4, -139/64, 165/32, -89/32, 
  -1/8, 9/32, -19/8, -139/64, -165/32, 11/8, -11/32, 165/32, -89/32, 217/32, 
  33/16, 9/32, -5/2, -273/64, -1/4, 153/64, -7/16, 273/64, 211/64, -27/64, 
  -93/32, -195/64, -1/4, 1/4, -1/4, 1/4, -3/4, 3/2, 1, -2, 1/2, 9/8, -7/8, 
  -1, -1/2, -5/4, 1, 3/2, 1/4, -1, 11/8, 7/8, -1/2, -7/8, 1/2, 1/6, -1/2, 
  -1/12, 1/6, -5/8, 287/16, 19/8, -2, 9/8, -1663/128, 1009/128, 5, 63/16, 
  -39/8, 3/8, 1/8, -23/16, 15/16, -381/64, -997/64, -173/32, 17/16, 445/64, 
  -9/4, 2, -21/8, -3/8, -21/8, -425/64, -15/64, 21/16, 483/32, -555/32, 
  51/32, -87/64, -191/32, 25/32, 129/16, 319/32, 177/32, -79/16, -1/8, -1/6, 
  -1/6, -5/12, -5/12, 5/12, 3/4, -185/48, -53/48, 2, -5/3, 101/48, 5/12, 
  -11/12, -2, 3/4, 1/3, -1/2, 1/2, -5/4, 1/2, 15/16, 9/16, -15/16, 1/4, 
  29/16, -3/8, -29/16, 1/8, -13/16, 61/16, 3/8, 1/4, -1/2, -5, -25/8, -85/16, 
  -2, 5, 41/16, 19/8, 345/16, 5, 55/8, 21/16, -21/16, 3/2, -15/8, 21/16, 9/8, 
  -21/16, -15/4, -3/16, -95/4, 29/8, 3/16, -1/16, -15/64, 1/16, 3/64, -5/4, 
  -9/16, 3/32, 37/64, 21/16, 5/32, 5/16, 67/32, 1, 55/64, 13/32, -13/64, 
  -59/64, -127/64, 19/64, 15/64, -33/32, -1/2, 9/64, 25/32, 1/8, 1/16, 9/16, 
  -151/64, -5/64, 57/32, -9/16, 111/64, -1/8, -23/32, 95/32, 267/128, 
  379/128, -61/128, 39/64, -41/32, 69/32, -101/32, -189/128, -33/32, 9/8, 
  1/4, -65/48, -21/16, 1/3, 1/24, 89/48, 27/8, 17/192, -55/192, -1/24, -1/2, 
  -41/16, -3/64, 1/2, -1/2, 163/192, 57/64, -9/16, -25/48, 145/192, -97/96, 
  23/48, -25/192, 1/192, 3/64, 23/192, 189/64, 9/4, -21/8, -979/128, 
  -1053/128, 21/16, 999/64, -555/32, -33/8, -87/16, 75/64, 55/128, -239/32, 
  83/16, 61/64, 5/8, 1/4, 13/16, 59/8, 287/16, -83/32, -35/8, -291/64, 
  -91/64, 2, -103/64, -65/32, 173/64, 115/64, 1/16, 3/8, -3/8, 3/8, 3/8, 
  -1/12, 1/2, -1/3, -1/4, 11/64, -11/64, 3/4, -37/64, 3/4, -37/32, 83/64, 
  43/64, -27/64, 11/64, 9/16, -1/4, 31/16, 89/64, 5/2, -23/16, -89/64, -5/2, 
  -1/2, 3/8, 3/2, -39/16, 57/64, 3/4, -3/2, 3/4, -39/16, 135/64, 1/2, -61/16, 
  -73/64, 17/2, -15/4, -427/64, 307/32, 95/16, -9/2, 3, -71/16, 1/4, -33/8, 
  -1, 4/3, -1/2, -1/8, 13/24, -1, -3/2, 1, -2, -1/2, 7/4, -15/4, -1/2, -15/4, 
  -5/4, 1/8, -1/8, 1/8, -1/8, 1/8, -1/8, -1/8, 1/8, -1/4, -1, 3/4, 1/4, 
  227/32, -3/2, -3/2, 1, -1, -1, 1, -3/2, 621/16, -563/12, -35/16, -6083/192, 
  715/64, 139/192, 3769/96, 89/64, -6083/192, 607/64, -235/64, 3769/96, 
  -173/192, 901/12, -647/64, 4579/192, -2263/24, -29/4, -1, -55/12, 55/12, 
  37/12, -3/8, -25/12, -5/8, -21/8, -567/32, 523/16, -57/8, 743/64, 299/64, 
  -489/32, -621/32, 33/64, 743/64, 475/64, -559/32, -621/32, -159/64, 567/16, 
  1611/64, -983/16, -603/64, -3/4, 9/4, 3/4, 5/8, -99/32, -9/8, -5/4, -1/8, 
  -3/8, 1/4, -1/2, 509/32, -417/32, -365/48, 45/8, -747/16, 453/16, 261/8, 
  -395/32, 961/64, -901/64, -225/32, -3/4, 267/16, -267/16, -45/2, 137/96, 
  -37/24, 135/128, -1/128, 81/128, -941/192, -149/96, 941/192, 2/3, -91/128, 
  -221/192, 5/4, -1/8, 3/2, 5/4, 1/8, -13/4, 89/128, -1/4, -5/4, 11/8, 1/2, 
  -11/8, -5/4, -3/8, 11/8, 27/16, 907/192, -3/4, -457/128, 1033/96, 241/128, 
  -37/8, -179/32, 1897/384, 35/16, -163/48, -9/2, 153/64, 103/48, 3/4, 15/16, 
  -21/8, 81/32, 21/8, -111/32, -3/2, 21/8, -93/32, -1/48, -135/64, 135/64, 
  437/192, 5/12, -5/8, 5/8, 45/32, -3, -69/16, -21/64, -3/8, -3/2, -3/8, 
  259/64, 1/4, -5/4, 113/48, 27/16, -113/48, -7/16, -21/16, -3, 113/48, 
  39/16, -161/48, 1/3, 25/48, -2417/192, -1/12, -541/96, -231/64, -1/3, 
  247/64, 43/192, 103/64, -9/64, 5/12, -4757/384, 2535/128, 31511/384, 
  -2933/192, 5831/384, 2555/192, -20227/192, 4625/192, -3117/128, 2681/384, 
  -2923/192, 27/4, 1249/576, -1249/576, -1297/576, -15/16, -11/48, -7/16, 
  -1/4, -1/4, 1673/128, 839/128, 311/32, -871/128, -117/16, -1131/64, 
  -1037/64, -983/128, 245/64, 153/128, 11/4, -913/128, -255/128, -25/64, 
  45/128, 293/128, 57/128, -291/64, 445/192, 49/64, -857/128, 145/128, 
  -311/64, -239/64, -259/96, 1045/192, 9/8, -1/12, 1/4, -7/12, -1/2, 3/4, 
  1/2, 1/3, -1/3, 1/3, 1/2, -1/2, -1/3, 3/4, 1/2, -21/16, 41/128, -31/16, 
  7/8, 131/48, 115/64, -5/8, -271/128, 31/16, -65/16, 205/24, 67/24, 495/128, 
  21/8, 8, 755/576, -21/16, -1485/64, 555/32, -15/8, 1825/144, 35/32, 
  -307/48, -41/16, -2509/144, 1/4, 727/288, 43/72, -207/32, 213/64, 73/16, 
  -41/2, -161/128, -1843/128, -75/32, -321/8, 6263/192, 169/8, 413/32, 
  9335/192, -5641/192, 2339/96, -785/48, -15/16, 15/16, -9/16, 15/16, 9/16, 
  9/16, 37/32, 369/32, 141/32, -369/32, -89/16, -217/32, -107/8, -57/32, 
  41/8, 29/8, -3/4, 135/16, -107/24, 13/24, 5/8, -13/8, 2, -4, 4, 2, -2, 
  -821/48, -63/16, 55/12, -1/4, -413/16, 857/32, 5/4, -1/8, 13025/384, 
  -787/96, -11663/288, -709/1152, 35/192, 977/192, 265/192, 23/16, -17/4, 
  21/16, 163/16, -85/12, -1205/384, 1279/192, -6863/192, 37/32, -41/12, 
  -1/16, -11/24, 8/3, 11/12, 133/12, -45/4, -7/3, 491/64, -1423/192, 159/32, 
  283/24, 3751/192, -1375/192, -85/48, 35/192, -57/32, -239/32, -14069/576, 
  -637/128, 547/48, 221/96, -8423/96, 2479/128, -4919/384, 3697/32, -323/32, 
  -301/24, -3641/64, 755/32, 2349/32, 6475/192, 3331/192, -19/8, -943/192, 
  -3613/192, 1347/64, 1871/64, 3223/96, -897/64, -691/64, -1271/128, 667/128, 
  1661/96, 5239/384, -83/4, 535/32, 353/32, -89/32, 541/128, -2927/128, 
  -1391/384, 149/128, 18761/192, -2875/64, -1841/128, -9915/128, 5355/128, 
  -789/32, 15691/384, -2, 2, 2, -2, 3/8, 7/4, 7/4, -13/8, 13/8, 13/4, -3/8, 
  3/2, -7/4, -7/4, 5/8, 5/8, -13/8, -5/4, 3/2, -25/8, 13/8, -7/4, -3, 5/4, 
  5/4, 3, -19/8, -3/8, -3/8, -1/16, 1/8, 1/2, -1/8, 3/4, 3/2, 1/2, -1/2, 
  -1/2, -11/8, 1/16, -1/16, 11/8, 19/8, -1/8, 5/16, -19/8, 5/16, 5/4, 7/8, 
  -27/16, 1/2, -11/8, -19/8, -19/8, -17/8, -3/4, 19/8, 3, 13/8, -19/8, -3/8, 
  5/8, -1/8, 1/4, 5/4, 5/2, -9/16, 23/16, -15/8, -3/4, 7/8, -7/8, 5/2, -1/2, 
  1/2, -1/16, 7/8, 15/16, 3/4, 11/4, -11/4, 3/4, 9/8, -13/8, 3/2, 3/4, 3/8, 
  1/4, 1/4, -1/8, 5/8, -5/32, 5/32, -5/8, -35/16, 5/16, 13/16, -9/32, 35/16, 
  3/8, 3/4, 273/128, -1/16, -69/128, -21/16, -113/64, -175/64, 69/128, 41/64, 
  3/128, 11/16, 17/128, -51/128, 1/8, 5/8, 35/16, 35/16, -15/32, 29/32, 3/4, 
  -35/16, -35/8, -25/32, 35/16, 3/8, 3/4, 53/64, -75/64, 19/16, -11/16, 
  -113/64, 1/32, -17/16, 41/64, -17/64, 15/64, -1/8, 9/64, 1/4, -3/64, 3/64, 
  9/32, -21/64, 9/32, 41/64, -3/32, 63/64, -7/16, 25/64, -9/4, 21/16, -31/32, 
  -13/64, -33/32, 49/64, -5/64, 1/2, 11/32, 3/32, 27/64, 43/64, -11/32, 3/16, 
  -3/16, -47/64, -9/32, 1/16, -3/4, -105/128, -57/128, -25/32, -29/32, 
  189/128, 51/64, 21/32, -77/128, -3/128, 13/128, 19/128, -3/2, -5/64, 35/32, 
  -2, 2, -49/16, 5/32, -17/8, -43/8, 145/32, 53/32, 33/64, 4, -2, 2, -1/16, 
  -13/8, 3/8, 7/4, 7/4, -5/8, 43/16, 43/16, -129/32, -7/4, 49/8, 13/8, -6, 
  -3/8, 49/8, 6, 139/32, -6, 1/8, 245/32, 129/32, -209/32, 3/4, -7/4, -7/4, 
  1/3, 23/24, 1/4, 3/4, 5/8, -3/8, 1/8, 1/3, -5/12, -21/32, 149/32, -61/16, 
  5/32, -3/8, 95/16, 33/8, -235/32, 3/8, -239/64, -223/32, 3189/64, -1/16, 
  23/16, 299/128, -855/512, -5799/512, -269/128, -119/128, -9935/256, 
  -8755/256, -5487/128, 10219/256, -3/8, 17/8, -3/2, 3/8, -1/2, -17/8, 4, 
  49/8, -49/8, 1/2, 7/4, 1/2, -1/2, -21/8, 11/8, 1, -3/8, 19/8, -19/8, 
  -39/16, -1/16, -15/8, 29/16, 11/8, 1/8, -1/8, 5/8, 1/8, 3/8, 1/2, -17/24, 
  17/24, -2/3, -19/8, -7/8, 1, -293/128, 185/128, -17/16, -301/128, 301/128, 
  349/128, -521/128, 301/128, 577/128, 13/32, 169/128, -1/16, -243/64, 
  115/32, 7/16, -23/16, 81/32, 169/128, 243/64, -139/32, -23/32, -243/64, 
  115/32, -355/64, -79/64, -23/16, 35/16, 773/128, -3/4, -437/128, 19/8, 
  -7/16, -709/128, -173/128, 29/128, 63/64, 205/128, 3/8, -3/8, 3/8, -3/8, 
  1/16, 21/16, -51/16, -35/16, 15/4, -33/32, -9/4, 47/32, 1/16, 57/16, 15/4, 
  5/8, -41/16, -25/4, -1/8, 5/2, -93/32, -101/32, 77/32, -1/2, -25/24, 3/2, 
  1/2, 13/48, -43/48, 5/96, 6445/128, 3113/64, 27/8, -29/16, -19031/1024, 
  22753/1024, -381/64, 5433/128, -1/16, -21/4, 5/64, -59/64, -69/16, -285/32, 
  -24137/512, -30745/512, 1413/256, 81/32, 7249/512, -1/16, 85/16, 961/32, 
  37/32, -11/32, -23/32, -9437/512, 1569/512, 4073/128, 7669/256, -34387/256, 
  -7917/256, -14779/512, -16819/256, 8197/256, 5351/128, 2829/256, 
  -25975/256, -185/4, 113/128, -1/12, -1/12, 1/3, 1/3, -3/8, 1/8, -47/96, 
  37/96, 3/4, 9/8, 179/96, -3/8, 1, 1/2, -23/24, -7/12, -1/8, 7/8, -5/2, 
  -1/8, -15/32, 39/32, 15/32, -3/8, -43/32, -7/16, 43/32, 13/16, -13/32, 
  -199/32, -5/8, -3/8, 25/16, 27/4, 47/16, 217/32, 1/2, -39/4, -389/32, 
  -81/16, -1229/32, -67/16, -10, 23/32, -23/32, -3/2, 41/16, 23/32, 5/16, 
  -23/32, 107/16, 67/32, 677/16, -101/16, -19/32, 45/32, 155/192, -45/32, 
  -41/192, -13/8, -75/32, 43/32, 57/64, -73/48, 63/32, -43/32, -13/32, 
  -437/96, -7/4, -51/32, 5/32, 9/32, 173/128, 601/128, 43/96, -73/128, 55/48, 
  3/4, -27/128, -43/48, -1/8, 9/32, 3/32, 353/128, 47/64, -235/128, -3/32, 
  -365/128, -9/32, 1/2, -199/64, -625/256, -635/256, 145/256, -155/128, 
  83/128, -47/16, 113/64, 267/256, 33/16, -29/32, -13/24, 21/32, 37/32, 1/24, 
  -47/96, -35/16, -61/192, -61/192, -1/24, 1/2, 49/32, 61/192, -1/2, 19/24, 
  -39/128, -103/128, 109/192, 101/192, -455/384, 37/64, -109/192, 103/384, 
  19/128, 3/128, -35/128, 15/8, -19/32, -3/2, -23/32, -16723/1024, 
  -15559/1024, 4073/128, 10423/512, -34387/256, 9/32, 143/64, -20529/512, 
  -43379/1024, -13979/256, -327/64, 7989/512, -13/8, 3/16, -27/16, 1487/32, 
  11519/256, -18097/128, 253/32, 269/32, -2055/64, -313/64, 121/64, 263/64, 
  -2333/128, -43/16, 3/16, -1/4, -1/4, -3/8, -3/8, 1/6, -1/8, -1/8, 5/12, 
  1/4, 3/64, -3/64, 7/32, -11/64, 7/32, -5/64, 49/64, -31/64, -11/64, 3/64, 
  63/64, -1/8, -33/32, -83/64, -15/8, 1/4, 83/64, 19/8, 25/32, -1/2, 29/16, 
  5/2, 51/32, -7/64, -49/32, -7/2, -43/16, 49/32, -361/128, 21/32, 257/32, 
  293/128, -43/4, 377/32, 587/64, -1727/128, -181/16, 671/128, -279/64, 
  877/128, 123/128, 285/64, 5/2, -1/4, 1/2, -1/3, -9/4, 19/24, 11/96, -27/32, 
  1, 15/4, -1, 5/2, 1/4, 1/32, 35/32, -59/16, 365/64, 5/4, 29/64, 365/64, 
  -29/64, 29/64, 111/32, -7/32, 5/32, -11/32, 13/32, -7/32, 5/32, -19/32, 
  3/32, 9/16, 11/8, -155/128, -47/32, -13/32, 3795/256, 155/64, 59/16, 37/16, 
  -1/2, 1/2, 2, -2, 5/2, -1877/192, 1863/64, 883/96, 2269/192, -945/64, 
  1657/32, -1791/64, -1733/192, 2269/192, -451/96, 34535/384, -1791/64, 
  -943/192, -7619/384, -26933/512, -309839/1536, 23843/384, 4865/192, 3/4, 
  331/288, -331/288, 425/288, 11/16, 25/72, 7/8, 29/16, 129/32, 63/2, 
  -1793/32, 167/16, -169/8, -171/32, 1949/64, 2409/64, -3/2, -169/8, -75/4, 
  2059/64, 2409/64, 297/32, -63, -2823/64, 3335/32, 1391/64, -1/3, -4/3, 7/8, 
  3/8, -85/48, -7/12, -5/32, 1035/256, 49/32, 167/64, -2/3, -43/96, 25/32, 
  -1/6, 17/24, -1/16, 31603/768, -7955/256, -225683/1152, 8643/128, 
  -145007/384, -20183/384, 75737/192, -23231/256, 259735/1536, -1625/512, 
  -137815/768, -59/384, 1/8, -253/32, 253/32, 12, -73/288, 1405/576, 
  -177/256, 169/768, -479/256, 2735/1152, 229/1152, -6773/1152, -89/72, 
  -355/256, 1805/1152, -13/8, 5/32, -3, -7/4, -1, 235/32, 91/512, 7/48, 
  55/48, -5/2, -19/48, 311/96, 61/48, -19/64, -305/96, -1/64, 74615/4608, 
  -43/64, -8365/1024, 79427/2304, 10861/1024, -251/64, -5/8, 178655/9216, 
  173/32, -65663/4608, 4457/384, 2823/128, 76799/4608, -23/32, -45/32, 
  -87/16, -25/8, 87/16, 145/32, 45/16, 85/16, 3, -71/96, -77/128, -1/4, 
  109/128, 77/128, -1/4, 31/48, -31/48, -35/64, 21/32, 249/64, -73/64, 5/48, 
  85/48, 5/16, -671/384, -55/48, 17/8, -233/72, -7/3, 233/72, 5/24, 47/32, 
  29/8, -163/144, -43/32, 46/9, -149/144, -143/144, 16919/1152, 113/144, 
  3841/576, 477/128, 25/72, -541/128, 1/8, -661/1152, -899/384, 295/384, 
  -59/288, -10955/768, -4383/256, -52247/1536, 2939/1536, -76337/384, 73/12, 
  160753/1536, -1607/384, 9943/768, -583/8, 1997/384, -13/12, 109/3456, 
  -109/3456, 3059/3456, 59/48, 3/8, 5/96, -1/8, -17/32, -4825/256, -1331/256, 
  -2159/128, 1953/256, 1635/128, 879/32, 3661/128, 2057/256, -169/32, 
  231/256, -75/128, 1891/256, 1067/512, -5395/768, -2413/512, -7919/1024, 
  -57169/3072, -1973/512, 2063/768, 2121/256, -25141/1024, -3237/512, 
  4103/384, 1061/128, 18721/768, -1353/128, -5/6, -1/4, -1/4, 1/6, -23/72, 
  1/6, -59/72, -1/2, -1/6, 1/18, -17/36, -7/48, 17/36, -91/72, 7/24, -3/4, 
  5/3, -501/512, 1/2, -65/48, -1/2, -185/48, -643/256, -31/48, 1275/512, 
  -205/96, 1287/256, -1093/96, -2381/768, -5371/1536, -61/32, 4901/256, 
  -7325/4608, -3905/128, -14977/512, 29947/256, 7589/256, 23731/576, 
  20989/256, -71975/576, -8233/256, -4303/384, 20671/128, 26275/192, 
  -137/144, -8657/256, 159575/1536, 13/4, -12061/768, -399899/3072, 
  -523033/3072, -118831/768, -144305/384, 45671/1536, 74513/192, 225023/2304, 
  255935/1536, -539413/4608, -297055/768, 4043/144, 15/32, -15/32, -39/32, 
  -15/32, 39/32, 39/32, -23/64, -495/64, -27/64, 495/64, 25/32, 523/64, 
  165/16, -285/64, -95/16, -37/48, -25/12, -399/32, 49/16, -85/48, -13/16, 
  5/2, -71/16, 25/2, -239/16, -5, 5, 4565/96, 57/32, -175/24, 67/48, 3463/96, 
  -8767/96, -33/16, 95/128, -299891/4608, 685721/9216, 1131593/13824, 
  63077/6912, -10585/576, 7001/576, 8983/576, -75/32, 11/2, -69/16, -23, 
  1895/288, 11111/1152, -247/36, 81385/1152, -25/64, 913/72, -975/32, 
  875/288, -571/72, -281/144, -3355/144, 405/16, 37/9, 21049/512, 
  -132745/4608, 2453/256, -10309/1152, 749845/4608, 90401/4608, -43139/576, 
  -108571/4608, 39/64, 137/64, -29423/13824, 8563/384, 23231/1152, 
  -2717/4608, 230131/1536, 154117/3072, 607787/3072, -494207/4608, -8025/128, 
  7647/256, 158831/1536, -1554367/4608, -278239/768, -13825/2304, -6037/288, 
  171/32, 245/144, 5803/1152, -1343/192, -2953/48, -769/9, 251/96, 1403/48, 
  -165/64, -1581/64, -445049/4608, -25855/4608, -2839/12, -3229/768, 
  63877/256, 36785/768, -9253/1536, 47459/1536, 38975/4608, -561/512, 
  -916217/3072, 7867/64, -9331/384, 43819/256, -121863/512, 7461/64, 
  -38431/384, 5/4, -5/4, -5/4, 5/4, -1/8, -7/8, -7/8, 9/8, -9/8, -9/4, 1/8, 
  -9/4, 7/8, 7/8, -1/8, -1/8, 9/8, 1, -11/8, 5/4, -3/16, -9/8, 7/8, 19/16, 
  -5/16, -5/16, -1, 7/8, 1/8, 1/8, 1/64, -3/32, -1/8, 21/8, 3/4, -5/4, 3/4, 
  -1/32, 1/32, -3/4, -1, 1/16, -15/32, 1, -11/32, -1, -37/64, 35/32, -1/8, 
  3/4, 1, 1, 13/8, 7/8, -1, -9/8, -9/8, 1, 1/2, -1/8, 5/8, -1/4, -17/16, 
  -7/64, 49/64, 15/16, -1/8, -5/8, 5/8, -65/64, 1/8, -1/8, -1/64, -5/8, 
  -39/64, -3/8, -9/64, 9/64, -11/8, -3/8, 3/16, -3/64, -51/64, -1/8, -1/4, 
  -1/8, -3/8, 13/32, -13/32, 3/8, 1/4, -13/16, -3/32, -3/16, -1/4, -1/4, 
  -361/256, 1/32, 83/256, 1/2, 53/128, 189/128, -101/256, -21/128, -31/256, 
  -17/32, -19/256, 31/256, -3/8, -1/4, -1/4, 15/16, -11/16, -5/4, 1/4, 1/2, 
  3/16, 3/8, -1/4, -1/4, -117/128, -5/128, -33/32, 19/32, -3/8, 53/128, 
  13/64, 13/32, -21/128, -11/128, -43/128, 1/8, 11/128, 3/64, -3/64, -33/64, 
  9/16, -33/64, -29/64, -75/128, -37/64, 35/64, 45/128, -33/64, -71/64, 
  13/32, 35/128, 5/8, 11/32, 5/16, -1/4, -1/2, -3/8, -29/64, -29/64, 1/8, 
  1/2, 5/8, -1/64, 7/16, -1/8, -1/4, 1/64, 1/4, 97/256, 97/256, 1/2, 1/2, 
  -97/256, -49/128, -3/8, 33/256, 31/256, -1/256, -31/256, -1/16, 179/128, 
  -23/128, 99/512, -23/128, -135/256, 5/4, -5/4, 345/128, -91/256, 127/128, 
  483/128, -1061/256, -409/256, 141/512, -5/2, 5/4, -5/4, 11/16, 9/8, -1/8, 
  -7/8, -7/8, 1/8, -53/64, -53/64, 87/32, 65/32, -4, -9/8, 121/32, 1/8, -4, 
  -121/32, -81/32, 121/32, -7/32, -41/64, -87/32, -33/64, -9/8, 7/8, 7/8, 
  1/12, 11/24, 1/2, -1/4, -1/8, 1/8, -1/2, 1/12, 1/3, 517/256, 5531/256, 
  69/32, 133/256, 65/32, -127/32, -77/32, -4625/256, 23/32, 1071/512, 
  353/128, -13135/512, 11/16, -371/256, -15591/1024, 10815/4096, 207583/4096, 
  14541/1024, 803/1024, -30281/2048, -29965/2048, -3825/1024, 24597/2048, 
  137/256, -7/2, -7/2, -7/2, -1, 9/4, -1/8, 1/8, 1, -5/2, -7/2, 37/8, -1/8, 
  -7/8, 1/8, -1/8, 2, -3/4, -5/8, 1/8, -29/32, 29/32, 69/64, 1/32, 25/32, 
  -3/4, -21/32, -23/64, -3/64, 83/64, 23/64, 3/64, -23/64, 7/12, -7/12, 1/6, 
  63/64, 5/8, -15/64, 57/256, 139/256, 3/16, 13/256, -13/256, -45/256, 
  155/256, 23/256, -203/256, -5/32, 163/256, 1/32, -81/128, -93/128, -13/32, 
  41/128, -51/64, 163/256, 81/128, 165/64, -13/32, -81/128, -93/128, 61/128, 
  7/64, 41/128, -7/16, -541/256, -27/32, 125/256, -13/32, -19/16, 381/256, 
  -125/256, 451/256, 289/128, 467/256, -1/8, 1/8, -1/8, 1/8, -5/64, -7/16, 
  81/32, 115/64, -163/64, 103/128, 83/64, -109/128, -5/64, -31/16, -71/64, 
  -1, 39/16, 111/32, 1/4, -151/64, 301/128, 205/128, -1/2, -301/128, 19/96, 
  3/4, 4/3, 29/192, 37/64, -13/128, -61425/1024, -23969/512, -13/8, 421/512, 
  280871/8192, -492177/8192, 485/512, -45093/1024, 49/128, 527/512, -243/256, 
  13/16, 1323/256, 1097/256, -162599/4096, -21239/4096, -184225/2048, 
  -1051/256, 216639/4096, 49/128, -1/4, -11141/256, -59/64, 177/128, 
  -11533/256, -228971/4096, 71767/4096, 71191/1024, 292663/2048, 563407/2048, 
  283645/2048, 274627/4096, -257637/2048, -192949/2048, -7719/1024, 
  -67197/2048, 98175/2048, 2583/256, -605/1024, 7/48, 7/48, 1/12, 4/3, 
  -403/192, 119/64, 21/8, 43/48, 193/64, 1/12, -11/48, -5/4, 1/12, 1/16, 
  37/16, -1/8, -5/16, -1/16, 13/32, 55/32, -13/32, 1/8, 9/64, 15/32, -9/64, 
  -19/32, 47/64, 203/64, 5/16, 1/8, 7/8, -9/2, 71/32, -485/64, -9/4, 11/4, 
  325/64, 3/2, 1879/64, 13/2, 53/8, -77/64, 77/64, -5/8, 17/32, -77/64, 
  -81/32, 77/64, -229/64, -97/64, -1935/64, 209/64, 17/32, -45/128, -119/192, 
  45/128, 17/192, 7/32, 1/2, 61/64, -39/128, -143/192, -1/2, -69/64, 3/32, 
  115/48, 27/32, 25/32, 7/128, 1/8, -361/256, -683/256, 257/384, 337/256, 
  -305/384, -7/32, 99/256, 305/384, -1/4, -3/8, -125/256, -45/64, -23/256, 
  3/8, 105/256, -13/64, 81/128, 93/128, 389/512, 11/512, 91/512, 49/256, 
  39/256, 73/128, 57/128, 85/512, -57/128, 5/32, 13/48, -3/32, -1/32, 3/8, 
  1/24, 17/32, 7/8, 13/96, -19/96, -1/24, 1/16, -25/32, -17/96, -1/16, 
  -13/48, 133/768, 7/256, 1/192, 25/192, 379/768, -23/128, -11/64, -57/256, 
  -61/768, 1/256, 61/768, -21/16, -1879/512, 5/512, -11533/256, -430517/8192, 
  509703/8192, 71191/1024, 549105/4096, 563407/2048, 1159/256, 625/256, 
  484241/4096, 345171/8192, -215351/2048, -39/512, -252565/4096, 5/16, 
  -75/128, 61/128, -231/256, -167929/2048, 75595/512, 1/4, -1081/512, 
  -12621/512, -23/32, -27/128, -57/16, 23289/1024, 37/128, -25/64, 1/4, -1/8, 
  -3/8, -1/12, -1/4, 1/8, -1/12, 17/192, -17/192, 257/192, -5/4, 257/192, 
  -27/16, 217/96, 233/96, -17/192, 17/192, -11/64, -39/64, 71/128, -3/4, 
  57/32, -71/128, 9/8, -75/64, -3/8, 7/32, -33/32, -93/64, -245/128, 75/64, 
  57/32, 127/32, 39/64, 119/256, 39/64, -495/64, 43/256, 421/64, -619/64, 
  -855/128, 2129/256, 15/2, -309/256, 173/128, -1169/256, -609/256, -275/128, 
  1/4, -1/2, -147/64, 9/16, -9/8, 7/16, 1, 8/9, -33/256, 127/1024, 2071/9216, 
  1/2, -4, 1/4, -3/4, -1/4, 7/256, -181/256, 459/128, 623/1152, 61/384, 
  -37/384, -1/2, -435/128, -1, -23/128, -435/128, 23/128, -23/128, -11/4, 
  13/128, -3/128, 33/128, -51/128, 13/128, -3/128, 13/128, -45/128, -27/64, 
  57/128, -6191/1024, 107/64, -1/256, -51251/2048, 6191/512, -153/32, 
  -71/128, 1/2, -1/2, -5/4, 5/4, -11/8, 1/2304, 47/576, 5/18, -73831/1536, 
  209533/4608, -403/96, 240847/4608, 3755/512, 269/36, -230917/4608, 
  5117/768, 240847/4608, 7477/1536, -119921/3072, -230917/4608, 14525/2304, 
  -1200403/9216, 70427/4096, 1726703/36864, 1144979/9216, -48641/3072, -1/8, 
  -433/432, 433/432, -67/216, 5/8, -577/108, 9/32, -63/32, -87/32, -1225/64, 
  2357/64, -291/64, 1721/128, 207/128, -1355/64, -1851/64, 127/128, 1721/128, 
  1707/128, -1511/64, -1851/64, -905/128, 1225/32, 3387/128, -2087/32, 
  -2175/128, 1/6, -1/12, -41/128, 341/128, 259/384, -149/384, -13/64, 
  -42967/2048, -25/32, -401/512, -1/36, -31/72, -13/128, 4529/1152, 
  -425/1152, -67/128, 1/4, -5/12, -85/96, -1/3, -49/192, -2332385/18432, 
  103775/2048, 9625381/27648, -123807/1024, 7154041/9216, 283297/9216, 
  -3201463/4608, 1025989/6144, -12046877/36864, 329073/4096, 5640797/18432, 
  9385/9216, 61/2304, 61/2304, 83/8, -761/192, -1/32, 9121/2304, -17965/2304, 
  -2135/1728, -1853/1728, -587/512, 2165/4608, 1323/512, 11599/6912, 
  16991/6912, 11861/6912, 77/108, 1059/512, -1709/6912, 41/64, -3/128, 53/32, 
  15/32, 23/64, -303/128, 245/2048, -25/192, -7/64, 51/16, 19/192, -581/384, 
  -43/64, 261/256, 551/384, 11465/512, -352781/110592, -3589/512, 
  -274987/8192, -6428039/55296, 190603/8192, -33875/512, -7467/256, 
  12163243/221184, 10777/256, 2141561/110592, -25589/9216, -2223/128, 
  -2385929/110592, -35/256, 15/32, 231/128, 27/16, -231/128, -69/32, -33/32, 
  -243/128, -27/16, 23/48, -185/256, -15/32, 129/256, 491/768, -1/12, -5/96, 
  5/96, 63/64, -95/32, -221/64, -51/64, -7/96, -145/288, 1/32, -2071/2304, 
  37/288, -1, 2639/1728, 713/576, -2639/1728, -137/576, -161/64, 15/64, 
  2257/864, 27/64, -4367/1728, 791/864, 1993/1728, -59069/6912, -791/864, 
  -6979/3456, -253/256, -3/64, 245/256, -7/576, 4091/3456, 215/384, -305/288, 
  -19/1152, 138187/2304, 1377/256, -3353557/36864, 1569269/36864, 
  321329/9216, -60829/1152, 872113/36864, -248281/4608, -389/1536, 
  23179/4608, 224279/4608, -3617/768, 11303/6912, -11303/6912, -18791/6912, 
  -17/64, -17/192, 37/576, 39/128, 4801/512, 643/512, 2669/256, -445/512, 
  -1633/256, -1071/64, -5019/256, -1201/512, 211/128, -2007/512, -209/256, 
  -1403/512, -1675/2048, 67691/9216, 10049/2048, -74041/8192, 1169707/73728, 
  -283735/4096, -7951/3072, -21985/3072, 2542373/73728, 16895/6144, -227/36, 
  -1363/768, -201497/6144, 11207/2304, -49/256, -11/24, -11/24, -125/432, 
  -31/216, 1/12, -3/16, -1/2, 47/216, 71/144, -17/54, -235/216, -359/3456, 
  -185/576, 229/64, -1355/1728, 1/4, -611/1152, 869/2048, 71/64, -131/576, 
  -3/8, 453/128, 4385/3072, -85/576, -4475/2048, 47/72, -4903/3072, 2353/384, 
  16421/9216, 1957/2048, 11349/256, 50671/2048, -10220803/331776, 
  -38607/1024, -127099/4096, -838503/2048, -423161/2048, -3743117/20736, 
  -119969/2048, 4626049/13824, 70301/2048, 8195765/82944, -294203/1024, 
  -66379/324, 4237/2592, -9019/2048, -12575053/36864, 14035/512, 
  3835165/18432, 36487201/73728, 4468051/8192, 9616997/18432, 8326615/9216, 
  -32684167/110592, -3973087/4608, -2790355/18432, -51568255/110592, 
  28388507/110592, 30786611/55296, -258679/13824, -13/32, -623/5184, 13/32, 
  -55/32, 13/32, 55/32, 55/32, -243/128, 1625/1152, -109/13824, 2381/1152, 
  -19657/13824, -11/64, -287/128, -41833/6912, -4627/6912, 125/64, 
  -16861/13824, -575/288, 183/32, -17555/13824, 313/96, 9/8, -125/32, 41/16, 
  -1785/128, 2871/128, 9/2, -9/2, 59/128, 61/768, 37/768, -37085/1152, 
  117/16, 5185/1152, -913/512, -4927/144, 74485/576, 107/128, -1019/1024, 
  5773669/110592, -27200191/221184, -18587815/331776, -876545/82944, 
  71485/3456, -28619/3456, -68299/3456, 87/64, -37/16, 159/32, 801/64, 
  -4091/3456, -71971/6912, 511/1728, -210793/3456, -7/4, -3151/216, 
  39933/512, -17165/3456, 67649/6912, 2297/1728, 28051/1728, -3617/192, 
  -623/216, -294793/4096, 9038051/110592, -182035/2048, 450773/27648, 
  -35989103/110592, 4636457/110592, 239333/1728, 5536529/110592, -109/4608, 
  -1/96, 69/128, 14641/4608, 10009445/165888, -21097/1152, -491461/6912, 
  -271993/55296, 1385839/36864, -1402597/24576, -14825749/73728, 
  -18440183/110592, 847949/9216, -3135359/18432, -4756961/36864, 
  40897619/110592, 11603141/18432, -617401/13824, 7561/432, -109/576, 
  -7663/1728, -9895/1728, -3293/144, 249641/4608, 1262395/13824, 28015/1152, 
  -36199/1152, 83929/4096, 267699/4096, 13641991/110592, -49339/1728, 
  2115041/4608, -1165549/18432, -2544883/6144, -1222579/18432, 26633/6144, 
  -118891/6144, -895469/55296, -26509/6144, 33177851/73728, -19331/144, 
  219839/4608, -775289/4096, 383735/1024, -20317/128, -120013/18432, -1/4, 
  1/4, 1/4, -1/4, -15/8, -1/8, -87/128, 9/128, 3/4, 103/128, 1/8, 3/64, -1/4, 
  1/4, 1/2, 87/128, 231/128, 17/8, -103/128, -1/8, 9/128, 9/128, 3/64, 9/128, 
  -231/128, -7/128, -117/64, -3/64, -39/32, 55/128, -25/64, -105/128, 
  -39/128, -1/8, 3/64, 17/128, -1/8, -27/128, -85/128, 395/128, 15/128, 
  -99/32, 1/16, 9/128, 1/128, 19/128, -189/128, -7/4, -13/8, 45/128, 13/8, 
  13/8, 1/8, -1/8, 1/8, 3/32, -1/16, 3/32, -3/32, 1/8, 31/128, 15/128, -1/4, 
  -1/8, 7/16, -9/16, 7/4, -3/2, -17/8, 3/32, -31/32, -2, -3/32, -107/128, 
  37/128, 1/4, 91/128, -1/4, -1/8, 77/128, -5/4, 19/128, 9/16, -7/4, 11/64, 
  7/4, 53/128, 217/128, -13/32, -217/128, 1/8, -1/8, 5/32, -3/64, 9/32, 1/4, 
  -153/128, 43/32, 1/8, 63/128, 3/8, 39/128, 7/4, -3/64, 85/64, -1/4, -51/16, 
  -25/128, 1/8, -1/8, -3/32, 1/16, -3/32, 3/32, 297/256, 1/128, -231/256, 
  -233/128, -253/128, 265/256, 233/128, -233/256, 15/128, 233/128, 233/256, 
  1/8, 31/128, 63/128, -7/4, 3/4, 17/8, -3/32, 21/128, 2, 3/32, 117/64, 
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  6400141/110592, -6866701/221184, -9239989/331776, 1/8, 327/64, 1/8, 
  1257/256, -1257/256, -3229/256, -15/128, -1257/256, -1/128, 2535/256, 
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  69/64, 13/8, -135/128, -225/128, -1/8, 135/128, -135/128, -119/128, 
  135/128, -7/6, 17/8, 11/12, 17/24, 119/768, 1289/768, -137959/4096, 
  1897103/221184, 436741/663552, -103759/27648, 4192471/331776, 
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  210689/73728, 62328899/663552, 20561713/331776, -265697/73728, 335/256, 
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  779/6144, -1/24, -3/128, -93/256, -779/12288, 3/128, -1/128, 109/96, 
  141/128, 585/4096, 1243/12288, -29/32, -395/192, -585/4096, 117/128, 
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  6536983/663552, -6222703/331776, -1497/1024, 505/512, -649487/73728, 
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  47/216, -55/2592, -53/864, 55/2592, 9173/10368, 100753/82944, -337/10368, 
  106897/82944, 587/10368, -623/10368, -19268519/663552, -659/5184, 
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  6409549/221184, 1/72, 1/96, -25/1152, -25/1152, -11/288, 149/216, -3/4, 
  13/216, 13/216, 509/2304, -509/2304, -509/2304, -509/2304, 6227021/331776, 
  6152827/663552, 6356155/663552, 139/6144, 1/64, 1/48, -6272705/331776, 
  13/576, -6222631/663552, -6344167/663552, 17/54, -149/216, 203/216, 
  -8953/10368, -8953/10368, 337/10368, 337/10368, 2/81, 6409549/221184, 
  6409549/221184, -6409549/221184, -6409549/221184, 6227519/165888, 
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  -337/10368, -8/81, 1/288, -19188775/663552, 623/10368, 695/10368, 2/81, 
  4/81, 2/27, 19188775/663552, -623/10368, -767/10368, -1487/3456, 11/48, 
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  213/1024, 9/1024, 47/5184, 10535/41472, -21979/41472, -35/512, 25021/27648, 
  405/1024, -51827/82944, 71/256, -26335/82944, -11935/9216, 55091/41472, 
  17977/41472, -961/1296, 33/256, -3781/6912, -13279/4608, -15575/20736, 
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  623/5184, 623/5184, -71/108, 8953/6912, -623/20736, -25613/20736, 
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  3130483/82944, 6186097/55296, -4495387/82944, -239593/36864, 
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  1999470427/3981312, 10251895/124416, -1187199817/2654208, 
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  55128973/331776, 3664889/49152, 6256669/55296, -93794029/331776, 
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