{{1, 1, 1, 1, -1, -2, 2, 1, 1, 1, 1/4, 1, 3/4, 1, 1/4, -1/2, 1/2, -1/4, 3/4, 
  -1/2, 1, 1, -1, -9/4, 1/2, 3/4, 3/2, 7/4, 1/4, -3/4, -1, -23/4, -7/2, -1/2, 
  4, 1/4, 1/16, -59/16, 1/2, 1/8, -3/8, -7/8, 3/4, 1, 1, -1, 1/2, 1/2, -5/4, 
  -1/2, 3/4, -3/4, -17/16, 7/16, 3/4, 3/2, 21/16, -3/4, 3/2, 3/2, -3/2, -3/2, 
  1, 3/8, -1/4, -5/16, -1/2, -1/2, -3/4, -1/4, 1/2, 3/2, -1/4, -1/4, -53/16, 
  1/4, -9/32, 95/32, 51/32, 15/16, -211/32, -59/32, -1/2, -19/32, -69/32, 
  -17/8, 133/32, -33/16, -59/32, -77/32, -53/32, 19/16, 105/32, 81/32, -1/4, 
  7/32, 147/32, 21/16, -129/32, -61/16, 1/4, 3/8, -1/2, 79/64, 19/64, -3/4, 
  3/4, 7/4, -31/64, -69/64, -1, -5/2, -7/8, 7/4, -3/8, 3/8, -107/64, -41/8, 
  -1/4, -11/4, -7/2, 179/64, 25/8, -9/8, -9/8, 1/4, 9/8, 1/4, -1/4, -1/2, 
  -47/64, -31/64, 1/4, -3/4, 5/4, 11/4, 7/4, 207/64, 1/8, -1, -4, -17/8, 7/4, 
  -9/8, 5/4, 19/8, -21/32, -45/32, -1/2, -3, -13/2, -11/32, 33/8, -11/4, 
  -11/4, 1/2, 11/4, 1/2, 23/32, 47/64, -267/128, -113/128, 3/128, 3/4, 
  -187/128, -65/128, 7/4, -129/128, 33/128, -209/128, 255/128, -55/32, 
  77/128, 177/128, -15/128, -205/128, 183/128, 31/64, 31/64, -1/2, 1/4, 3/4, 
  45/128, -1/128, 1/8, -1/4, -3/2, -45/128, 3/4, -1/4, 1/8, 3/8, -177/128, 
  -177/128, -11/8, -2, 129/128, -1/4, 13/8, -3/8, -5/8, -5/8, 5/8, 1/4, 3/2, 
  -3/4, 11/4, 23/8, -1, -1, -1, -1, 5/2, 3, -2, 3/2, -7/4, -11/2, 1/4, -1, 
  -2, 1, 19/4, -59/8, -1, -2, -1, 1, 7/4, 3/2, -3/2, -5/4, 1/2, -1/2, -7/4, 
  2, 1, 1, 11/8, 21/16, -1, 7/8, -1, 1, 21/4, -3/2, 11/4, 5/2, 63/16, 3/8, 
  3/4, 1, -5/2, 1, 3/2, 9/2, 21/4, 1, -1/4, -15/32, 3/4, -17/4, -5/2, -9/4, 
  115/32, 237/32, 5/8, -197/32, -51/16, 5/4, -21/4, -81/8, -101/64, -589/64, 
  37/8, 1133/64, 237/16, -2, 13/12, 4/3, 1, -3/4, 3/2, 13/12, -5/12, 5/4, 
  -5/2, 5/4, -1, -205/32, -1, -19/32, -31/32, 23/4, -23/4, -215/32, 1, -2, 
  -1, -3, -2, -2, 2, 1, 1, 1, -3, -5, 7/2, 3/4, -2, -3/2, -1/2, 11/4, 1, 
  -43/16, 41/16, 113/64, 123/32, -13/64, -179/32, -41/64, -1/4, 69/64, 5/4, 
  35/16, 41/32, 45/8, 71/32, -123/32, -7/16, -681/64, 55/32, 3/16, 27/32, 
  -169/32, -31/16, 163/64, -9/32, 17/32, -1/16, 23/4, 205/64, 107/32, -67/64, 
  81/32, 37/16, -13/16, -17/8, 1/6, -1/6, 1/6, -5/12, -5/12, -1/3, -1/2, 1/6, 
  -5/12, 5/4, 5/4, 17/12, -5/4, -5/4, -19/12, -5/6, 77/48, 5/6, -1/3, -3/4, 
  5/64, 1/3, 3/4, 71/8, -5/2, 3/4, 7/6, -3/2, -1/4, 1/4, -1/4, 1/4, 23/128, 
  3/4, -1, -39/32, 15/16, -201/64, 231/32, 281/64, -209/32, -173/16, 425/32, 
  55/4, -15/64, 67/64, -21/64, -267/64, 1/2, -287/64, -569/64, 43/64, 251/32, 
  -5/16, -3/8, 383/32, 43/16, -13/4, 243/128, 47/128, -31/64, -345/128, 
  -245/64, 7/64, 1099/128, -131/64, -977/64, 69/16, 1181/64, 251/16, 1/12, 
  1/12, 13/48, -23/48, 1/12, 3/4, 3/4, 43/48, -3/4, 3/2, 3/2, -3/2, 307/192, 
  35/48, -127/144, -1/4, -1/4, -1/2, -1/2, 1/2, -1/4, 7/4, 3, -1/4, 3/4, 
  -3/4, -4, 1, 1, -5/4, -9/4, 1/2, 5/4, 65/48, 3/8, 1/8, 3/4, -29/96, 1, 
  1/12, 11/16, -31/16, 103/128, -23/128, -9/4, -57/32, -1/16, 3/4, -285/128, 
  -37/16, 3/4, 197/128, -1/2, -117/64, -3/2, 17/16, 277/64, -9/16, -101/128, 
  215/128, 263/128, -195/128, -55/128, 3/2, 297/128, -505/128, -235/128, 
  -143/64, 11/128, 1, -2, -2, 1/2, 1/4, 1/2, 3/4, -31/16, -5/4, -3/2, -1, 
  1/4, 3/2, -3/2, 19/16, 1/2, 9/4, -21/16, -9/32, 35/8, -5/2, 53/32, 5/2, 
  37/16, 3/4, 1/16, 23/32, 1/4, 113/64, 151/64, 3/8, 37/32, -9/32, -51/64, 
  19/16, -45/32, 5/64, 147/64, -39/128, 1, -71/32, 41/64, -351/64, 47/32, 
  -17/64, 55/128, 87/128, 75/32, 377/128, 1/4, 73/32, 163/128, -469/128, 
  -157/64, -133/128, -103/128, -1/4, 133/128, -5/9, -5/12, 13/6, 7/4, 2/9, 
  211/192, -7/4, -4/3, 2/9, 29/72, 3/8, 139/192, -1/4, -14/9, -41/24, 
  -865/576, 4/3, -29/72, -11/24, 29/72, -27/32, 19/16, 9/2, -7/64, -3/32, 
  7/32, 177/64, -205/64, -1483/64, -79/16, -143/128, -5/16, 39/64, 233/8, 
  -53/128, -669/64, 317/128, -11/4, -2049/128, 81/32, -339/16, 3, 941/128, 
  7145/128, 1535/64, -75/2, 169/32, 875/32, 447/16, -337/8, -55/4, -19/36, 
  -19/36, -3/4, 3/4, 3/2, 167/72, 59/72, -1, -5/2, -3/2, 7/4, -5/8, 5/8, 
  -367/288, -359/288, -1/2, -5/2, -15/4, -185/288, 25/8, -5/4, -5/4, 1/2, 
  5/4, -1/6, -1/2, 1/12, -1/4, 1/2, 11/12, 1/4, 53/128, 175/384, 3/8, 1/4, 
  1/2, -53/128, -3/4, 5/12, 3/8, -3/8, 473/384, 665/384, 1/4, 25/24, 3/2, 
  -329/384, -35/24, 5/8, 5/8, -1/4, -5/8, 97/64, -17/64, -173/128, 35/32, 
  85/64, 1/2, -59/32, 1/16, 3/4, -141/128, 119/256, -113/128, 101/128, 
  -269/256, 51/32, 139/128, -5/128, -23/256, 31/64, -1/32, -3/4, -119/64, 
  -3/4, -1/32, 185/128, 317/128, 153/128, -19/32, -5/4, -121/128, 1/32, 
  167/128, -33/128, -105/128, -1/4, -461/128, -9/4, 133/128, 217/128, 
  -71/128, 1/4, -9/128, 2, -1/6, -65/8, 6, 1/3, 1/4, 3/4, 2, -5/2, -3/4, 1, 
  5/2, -1, 2, -1, 1, -1, 3, -3/2, 3, -1/2, 5, 1, 2, 1, 1, -1, -1, -1/2, 1, 
  3/2, 471/64, 1009/192, -2785/192, 5/16, -5/2, 203/64, -221/24, -47/4, 
  -79/4, 1753/64, -41/2, -893/64, -29/2, -13/2, -9/4, 1/2, 1/2, 1/2, 2, -1/2, 
  -1/4, -13/8, 9/8, 7/8, 261/32, -21/4, -1, 143/64, -21/4, -215/128, -1/2, 
  1961/192, -729/32, -93/16, -1/128, 27/8, 1003/64, 19/32, -5/4, 3/2, 7/16, 
  1/2, 3, -1/4, -3, 1, -1, -115/32, -279/32, 237/32, -75/32, 2039/64, -65/12, 
  -1689/64, 1367/48, 8/3, 3/2, -3/2, 3/8, 31/3, 1/8, -1/2, -7/4, 2, -85/4, 
  -5/8, -13/24, 3/2, -3/2, -4/3, -4/3, -7/8, 1/4, 1/24, 25/24, -21/8, -43/8, 
  -5/8, -37/8, -39/8, -603/32, 1511/64, 2635/32, 11, -1743/32, -5299/64, 
  -309/16, -1073/16, 29/32, 1683/32, 7071/128, -147/32, 5/2, -837/64, 2, 12, 
  2/3, -6, -271/32, -3, 2/3, 11/2, 23/4, 75/32, -3/4, -3/4, 5/12, 37/8, 
  -47/8, -6, 2, -1, 5/4, -7/2, -2/3, -2/3, 1/4, 9/2, 5/6, 1/12, 1, 2, -3/8, 
  1, 15/16, 15/4, 7/2, -5/16, -3/4, -153/32, -369/64, -8659/1152, 55/16, 
  -167/48, 355/288, -263/48, 6997/1152, -5083/384, 1331/64, 197/384, -227/36, 
  -5963/384, -4991/144, 5011/192, 2723/144, 19/8, -107/32, 61/48, -899/384, 
  2977/384, 151/32, -287/32, 157/96, -5771/384, 239/32, 491/128, -1133/384, 
  -401/96, 483/128, -5/24, -1/4, -131/192, -1, 19/8, 635/192, -299/128, 
  323/192, -133/192, 733/192, -359/192, 129/64, 7/12, 347/128, -101/64, 
  137/64, 3/8, 27/16, 283/32, 2773/192, -493/32, -1073/96, -105/64, 
  -1303/256, 135/64, 667/96, -869/256, 23/16, -3/8, 9/2, 281/64, 109/64, 
  253/192, -9/2, -257/96, -85/32, -27/16, -71/128, -305/128, 413/96, 87/128, 
  563/192, -317/48, 427/64, 3599/192, 155/64, -449/96, -105/64, 3/4, 
  -5365/192, -727/192, 1049/96, -273/32, 10241/288, -4939/192, -179/16, 
  -11/6, 35/16, -3/2, 5/3, -23/12, -2/3, -25/12, -9/8, 2/3, -1/3, 1/6, 5/6, 
  -1/6, -1/6, -1/6, 4/3, 719/192, -4/3, 11/16, 1/8, 1/6, -77/192, -289/64, 
  -553/192, -177/32, 69/64, 1123/128, 1021/128, -1/6, 63/64, 4465/384, 
  2533/384, -3113/384, -889/128, 19/16, -479/192, -203/64, -91/64, -115/64, 
  -4, -8/3, 255/64, 809/192, 19/16, 1591/384, 617/128, -145/24, -1135/384, 
  191/48, 2585/128, 5621/64, 195/32, -4775/128, -12735/64, -13, 1645/16, 
  -1879/64, -52239/256, -1709/128, 58435/256, 14245/128, 45/128, 2333/384, 
  -5/16, -251/96, -1/3, -951/128, 3, 113/32, -1097/128, 2561/192, 1163/96, 
  -841/192, -1499/96, 1/2, 1/2, -1, 3/2, 2, -1/8, 115/384, 301/384, 
  1313/1152, -27/32, 9/4, -5/2, 571/192, -193/48, -13/12, 161/128, -1, 55/16, 
  7/4, 665/384, 101/16, 11/12, -27/16, 8/9, -1091/576, 25/18, -409/288, 
  -1079/1152, -2773/1152, -217/288, 25/24, -561/128, -11/8, -191/192, 3/8, 
  -37/12, 155/16, 647/192, -679/128, -31/24, 17/2, 191/192, -2137/192, 
  -1549/384, 337/192, 427/96, -15/8, -27/32, -115/96, 123/32, -277/192, 
  169/256, -211/128, -863/768, -9/256, 1/2, -21/4, 103/12, -55/16, -695/192, 
  -1601/32, -1, 1/2, 5, -2771/64, 241/64, 10, -3/4, 19/8, -43/8, -37/4, 27/4, 
  17/4, -151/8, 1513/384, -11, -5/4, -9/4, 1537/128, 5219/64, 791/24, 
  -7843/192, -56581/384, -5917/384, 151/96, -635/48, 697/96, -2083/64, -5/24, 
  -1543/128, 6895/192, 1547/128, 97/16, 1857/128, -43/6, -837/128, 7/6, 
  -25/6, 225/8, 19/6, -17/8, -475/64, 1491/256, -1317/128, -35303/384, 
  -1175/96, 829/96, 38911/384, -515/16, 933/64, 2425/64, -167/48, 3397/128, 
  -1963/64, -2279/384, 10861/384, 1447/384, -105/8, -741/128, 1415/64, -7/16, 
  441/64, 2191/192, 7/4, 3779/192, 8057/384, 1639/576, 6943/2304, -189/32, 
  -11, 117/32, 105/16, -765/128, -2497/128, 1/96, 683/128, 1003/128, 
  -1451/128, -1211/32, -1809/64, 665/128, 3, 39/4, 733/64, -5689/384, 
  -889/128, 183/32, 16019/192, -749/16, -18989/256, 837/64, -2, -2, -2, -2, 
  2, 4, -4, -7/4, -7/4, -7/4, -3/8, -7/4, -1, -7/4, -1/8, 5/8, -5/8, 3/8, -1, 
  5/4, -7/4, -7/4, 7/4, 6, -5/8, -13/8, -13/4, -27/8, 1/4, 13/8, 7/4, 25/2, 
  61/8, 9/8, -73/8, -3/8, -9/64, 91/64, -1/2, -1/8, 21/32, 1/2, 53/32, -11/8, 
  -9/4, -9/4, 9/4, -1/2, -1/2, 19/8, 1/2, -11/8, 11/8, 135/64, -41/64, -11/8, 
  -11/4, -127/64, 11/8, -11/4, -11/4, 11/4, 11/4, -5/4, -1/2, 5/8, 29/64, 
  5/8, 5/8, 11/8, 13/32, -5/8, -19/8, 3/4, 3/4, 97/64, -3/4, -369/128, 
  -325/128, 59/128, 213/64, 1681/128, 297/128, 7/16, 497/128, 411/128, 
  -23/16, -1315/128, 53/64, -177/128, 437/128, 345/128, 205/64, -477/128, 
  -473/128, -7/16, 577/128, -659/128, -145/64, 553/128, 311/64, -3/8, -1/2, 
  3/4, -191/256, -129/256, 9/8, -9/8, -349/128, -95/256, 451/256, 3/2, 15/4, 
  173/128, -21/8, 3/8, -3/8, -221/256, 61/32, 5/8, 37/8, 43/8, -235/256, -5, 
  9/8, 9/8, -5/8, -9/8, -3/8, 1/4, 5/8, 325/256, 229/256, -3/8, 9/8, -7/4, 
  -31/8, -349/128, -1215/256, 3/2, 47/8, 413/128, -21/8, 7/4, -3/2, -13/4, 
  -161/64, -73/64, 1, 17/4, 37/4, 217/64, -6, 4, 4, -1, -4, -165/128, 
  -73/128, 177/256, 2307/512, 581/512, -1671/512, -9/8, 991/512, 1189/512, 
  -21/8, 945/512, -9/512, -367/512, -687/512, 413/128, 1043/512, -1617/512, 
  99/512, 685/512, -779/512, -23/256, -23/256, 3/4, -3/8, -9/8, -561/512, 
  -579/512, -1/8, 3/8, 9/4, 561/512, -9/8, 1/4, -1/8, -3/8, 33/512, 33/512, 
  2, 21/8, 223/512, 3/8, -9/4, 1/2, 5/8, 5/8, -5/8, -3/8, -4, 37/32, -37/8, 
  -179/32, 2, 2, 2, 2, -13/4, -9/2, 4, -5/4, -57/16, 125/32, 21/2, 2, 4, 
  -23/16, -279/32, 811/64, 2, 4, 2, -7/4, -23/8, -5/2, 27/8, 17/8, -13/8, 
  13/8, 15/4, -4, -13/8, -11/4, -27/8, -979/64, 11/4, -11/4, 2, -2, -101/8, 
  21/8, -55/8, 91/32, -933/64, -283/32, -351/32, -15/4, 33/8, -15/8, -25/8, 
  -157/16, -809/32, -7/4, 1/2, 65/64, -13/8, 5/8, 269/32, 41/8, 599/192, 
  -35/32, -689/192, -129/64, 71/192, 335/192, -11471/768, -1/8, 14999/768, 
  1951/32, 883/256, 5963/256, -299/32, -10155/256, -195/4, 9/2, -103/24, 
  -11/3, -11/4, 5/4, -5/2, -29/12, 1/3, -3/4, 47/16, -5/8, 7/4, 1351/64, 7/4, 
  403/64, 97/64, -707/32, 711/32, 1559/64, -5/4, 17/4, 7/4, 13/2, 4, 29/8, 
  -1/4, -4, -7/4, -1, -7/4, 49/8, 71/8, -57/8, -13/8, 31/8, 25/8, 15/8, 
  -11/2, -2, 133/64, -125/64, -1007/256, -649/128, -313/256, 1241/128, 
  335/256, 3/8, -687/256, -25/8, -81/32, 167/128, -625/32, 545/128, 249/128, 
  -115/16, 11387/256, 503/128, -119/32, -823/128, 605/128, 267/32, -653/256, 
  -401/128, -575/128, 335/64, -621/32, -4647/256, -2713/128, -115/256, 
  237/128, 71/64, 655/64, 41/32, 1/12, -1/12, 1/12, 3/8, 3/8, 7/12, 1/2, 
  1/12, 3/8, -1, -1, -3/2, 1, 15/8, 13/8, 2/3, -751/192, -2/3, 7/12, 3/8, 
  -1013/768, 17/12, -17/8, -125/16, 941/192, -11/8, -11/6, 11/4, 3/8, -3/8, 
  1/2, 1/32, -3/8, -187/512, -11/8, 7/4, 2593/192, -103/64, 73/48, -5191/192, 
  -61/12, 4613/512, -511/64, -29219/1536, -1565/64, 1037/256, -25207/768, 
  535/256, -265/256, -29/32, -593/256, 34277/768, 1753/256, -4535/384, 
  -1303/512, 47471/1536, 87/64, -18755/1536, 85/384, -7119/512, 10741/1536, 
  -935/256, -353/512, 25885/1536, 839/256, -26809/768, 113/256, 5233/256, 
  -81/64, -405/4, -9947/192, -1/8, -1/8, -61/64, 27/64, -1/8, -5/8, -5/8, 
  -169/192, 5/8, -5/4, -5/4, 5/4, 1439/768, -385/192, 1937/1728, 3/8, 3/8, 
  1/2, 1/2, -1/2, 3/8, -13/4, -49/8, -3/8, -9/8, 3/4, 29/4, -3/2, -9/8, 3/2, 
  4, -1/4, -3/2, -511/192, -9/16, 13/12, -11/8, 37/384, 7/32, 5/8, 5/128, 
  147/128, -299/512, 1/32, 187/512, 981/128, 1201/128, -75/128, 3/32, 
  785/512, 451/64, 1/16, -2997/512, 5/8, -37/256, 837/128, -81/128, -547/256, 
  5/128, 3301/512, -1387/512, -851/512, 1235/512, 1371/512, -857/128, 
  783/512, 2501/512, 3983/512, 1181/256, -251/512, -5/4, 17/4, 3, -19/16, 
  -1/2, -7/4, -1/2, -11/8, 247/64, 155/64, 11/4, 15/8, 19/16, -11/64, -19/16, 
  -11/4, 273/64, -37/16, -229/64, -361/64, -113/64, 223/128, -153/32, 103/16, 
  -463/128, -87/16, -47/64, -15/64, -5/8, -625/128, -145/64, -1071/256, 
  -1199/256, -39/32, -197/128, -397/128, -271/256, 39/64, -35/128, -1149/256, 
  -4941/256, -2893/512, 263/64, -929/128, -557/256, 7369/256, 759/128, 
  303/256, 1293/512, 1001/512, 1/128, -449/512, -5/8, 229/128, 193/512, 
  -7/512, -465/256, -495/512, -441/512, 5/8, 495/512, -1/9, -1/6, -41/24, 
  -15/8, 23/72, -391/256, 15/8, 3/2, 23/72, 1/6, -3/8, -247/256, 3/8, 85/72, 
  15/8, 1541/768, -3/2, 13/24, 17/24, -13/24, -383/128, -87/16, -63/16, 
  -3447/256, 2453/192, -71/32, -243/256, 887/256, -4775/384, 2393/256, 
  -25813/768, 399/128, -1129/256, 1117/96, 18821/768, 1819/384, 1191/512, 
  627/256, -353/96, 65/64, -50525/1024, -139/64, -1079/64, -311/64, 
  41869/1024, 10445/384, -2963/1024, -19457/1024, 2599/192, 130511/3072, 
  16435/768, 67/72, 67/72, 9/8, -9/8, -919/384, -4213/1152, -91/72, 3/2, 
  15/4, 919/384, -21/8, 17/24, -17/24, -373/288, -353/288, 1, 43/12, 5, 
  1189/288, -103/24, 5/4, 5/4, -1, -5/4, 1/8, 7/8, -7/12, 1/6, -3/4, -2, 
  -9/8, -227/1536, 95/512, -5/12, -3/8, 227/1536, 9/8, -3/8, -3/4, 3/8, 
  -371/512, -1945/1536, -3/8, -7/4, -7/4, 115/512, 17/8, -5/8, -5/8, 3/8, 
  5/8, -403/128, -81/256, 1979/512, -283/256, -405/256, -3/4, 579/256, 
  123/128, -9/8, 1595/512, -571/1024, 197/512, -293/512, 2117/1024, -7/16, 
  -1003/512, 33/512, 603/1024, -83/256, 3/64, 21/32, 323/256, 21/32, 7/32, 
  -765/512, -861/512, -149/512, 37/32, 15/8, 453/512, -3/64, -807/512, 
  29/512, 1329/512, 5/8, 2845/512, 259/64, -1561/512, -1541/512, 471/512, 
  -5/8, -151/512, -7/2, 7/18, 169/4, -7, -31/36, 7/8, 1/8, -4, 13/4, 109/32, 
  -3/2, -17/4, 2, -7/2, 7/4, -29/16, 55/32, -79/8, 79/16, 1/8, -131/16, 
  75/32, 2/3, -31/3, -5/12, -49/24, -15/4, -2, -2, 2, 2, 1, -15/8, -3, 
  -3547/256, 23567/2304, 1721/288, -1981/64, -227/192, -19379/768, 31543/576, 
  59065/768, 5241/32, -17951/256, 1097/32, 6443/256, 765/32, 109/8, 51/8, 
  -7/8, 11/8, -5/2, 5/8, 15/4, -5/2, -15/8, -179/8, 1425/128, 9/8, 389/256, 
  869/96, 969/512, 3/8, -28907/2304, 4693/64, 1223/192, -13687/1536, -949/64, 
  -12475/256, 679/128, 13/8, -17/4, 241/64, -5/4, 1/2, -53/8, 3/2, 7, -3/4, 
  11/4, 201/32, 6823/192, -4421/192, -5/8, -22511/768, -8207/288, 23227/256, 
  -41801/576, -34/9, -21/8, 45/8, -11/16, -2399/144, -1/4, 3, 2, -1/4, 19/4, 
  1/2, -5, 1597/32, 15/16, 181/144, -3, 5/2, 59/12, 47/12, 87/32, 67/32, 
  -53/96, -221/96, -1639/384, 77/16, 2695/384, 11887/384, 467/16, -133/32, 
  17107/256, 15037/1536, -299/16, -135517/1536, 34629/256, -14177/256, 
  -4459/256, -721/64, 14459/256, -12057/256, 1941/128, -719/128, -21305/256, 
  -10/3, -3847/192, -2/3, 6013/576, 2029/144, 1495/384, -211/48, -11149/1152, 
  -19417/1152, -575/192, 7/8, 3/4, -47/72, -45/16, 2155/96, 23/4, -1, -1/2, 
  9/4, 11/8, -1/8, 2, 2, -3/8, -11, -5/3, -7/24, -9/4, -29/8, 211/96, -65/24, 
  -35/64, -191/32, -75/16, 5/64, 81/32, 291/32, 2519/768, -15289/1152, 
  -41135/1536, 29399/576, 103313/4608, 2455/1152, 15905/1152, 306355/4608, 
  -574745/4608, -35677/2304, 160703/4608, 60325/2304, 44513/576, -14411/128, 
  -40579/1152, -281/64, 1849/384, -1355/576, -12739/1536, -59989/4608, 
  -291/128, 1985/128, -1151/1152, 238327/4608, -1663/128, -2653/512, 
  13993/4608, 1361/384, -3333/512, 5/144, 7/8, 8017/2304, 11/4, -99/128, 
  -17827/2304, 105/256, -4697/2304, 2083/2304, -32663/2304, 4337/2304, 
  -12817/2304, -7/8, 117/512, 10153/2304, -1135/128, -39/32, -147/128, 
  -1307/64, -41405/1152, 3391/128, 11113/576, 291/64, 14215/1024, -1161/256, 
  -5605/288, 617/1024, -919/384, 39/32, -1019/128, -3139/768, 67/256, 
  -6647/2304, 1725/128, 6809/576, 1291/128, 1015/384, -2097/512, -1735/512, 
  -8483/576, 1601/512, 137/256, -329/16, -44729/768, -23191/768, -29357/768, 
  -15163/1152, 883/256, 37447/768, 36537/256, -2033/128, 12647/1536, 
  5771/128, -6395/384, 449/16, 13553/384, 23/24, -599/192, 121/32, -131/72, 
  25/12, 29/18, 65/36, 5/8, -19/72, 7/12, -1/18, -19/12, -4/9, -3/4, 1/2, 
  -1/12, -1/12, -35/24, -5953/2304, 91/24, -11/16, -1/32, -7/24, 4625/768, 
  1513/256, 5185/768, 1005/128, -345/256, 3/8, -3335/512, -14323/1536, 19/12, 
  -1691/256, -3171/512, 1705/512, 4151/512, -205/1536, 219/512, 33625/2304, 
  42845/1536, 929/256, 2527/768, 83/32, 4889/768, -3871/128, -8207/768, 
  -8681/1536, -53335/9216, -88801/3072, -455/576, 82063/9216, -749/256, 
  40163/512, 22663/768, 287/128, -75923/512, -63835/384, 85/8, 130933/768, 
  -28627/256, 8761/96, -23007/512, -127633/1536, -84819/512, 2151/512, 
  60263/4608, -29/16, 7871/2304, -73/48, 3637/512, -1571/192, -14575/2304, 
  3037/576, 12539/1024, 12613/1152, -26861/1152, 169/16, 56729/2304, 1/4, 
  -11/18, -31/36, 5/2, -43/18, -13/8, 3/16, 7073/1536, 421/512, -5095/13824, 
  -77/64, -177/32, 37/8, -1727/768, 1673/192, 55/24, 691/512, 51/16, -447/64, 
  -37/8, -1671/512, -567/64, -149/192, 163/64, -5191/1728, 379/256, -245/144, 
  167/288, 199/288, 631/4608, 1201/512, -193/288, 203/576, 273/64, 107/32, 
  4831/2304, -19/32, 235/64, -6097/768, -16423/2304, 663/256, 277/576, 
  -4831/768, -1237/768, 269/36, 433/256, -479/144, -3713/288, 1725/256, 
  11/256, 2687/288, -955/256, 2051/576, -2773/1024, 2219/512, 54493/9216, 
  2549/1024, 27/32, 397/32, -10889/288, 203/64, 43979/2304, 2393/128, 2, 
  -7/2, -1, -79/8, 51615/256, -20031/256, -5255/96, 195/32, -123/16, 131/8, 
  843/32, -1633/96, -63/8, 153/8, 13367/4608, 10079/256, 4265/512, 7765/384, 
  134989/1536, -38369/768, -5795/72, -298723/4608, 835961/2304, 92557/2304, 
  -40475/2304, 33613/1152, -89225/2304, 1225/256, -59323/1152, 47707/1536, 
  -20863/2304, -59731/1536, -33/2, -20575/512, 5591/576, 8555/512, -11/9, 
  92/9, -7963/96, -71/9, 4657/768, 7001/256, -12177/1024, -240217/1536, 
  -119003/2304, -39779/576, 865163/2304, -774613/4608, 16301/384, -4187/256, 
  -403673/2304, -32791/576, -101465/1536, 6641/256, 154751/4608, -29617/512, 
  27139/2304, 3935/128, 27091/1536, -39619/1536, 7/16, -2007/256, 
  -28937/2304, -29/8, 185231/4608, -138529/2304, 10475/3456, 2453845/27648, 
  3575/192, 7177/288, -8825/576, -815/36, 40525/1536, 228551/4608, -2317/144, 
  -154319/4608, -1187/256, 5083/192, 113651/1536, 64757/1536, 3125/512, 
  -93/16, -503/32, -13897/768, -580129/2304, -6985/384, -739/16, -117677/576, 
  38723/384, -67375/3072, -1613/256, 5/4, 5/4, 5/4, 5/4, -5/4, -5/2, 5/2, 
  7/8, 7/8, 7/8, 1/8, 7/8, 1/4, 7/8, 3/16, -1/8, 1/8, -1/8, 1/4, -1, 7/8, 
  7/8, -27/128, -7/8, -99/16, 1/8, 9/8, 9/4, 2, -3/4, -9/8, -7/8, -1251/128, 
  -87/16, -3/4, 995/128, 1/8, 23/256, 7/8, -117/128, -1/8, -119/128, 3/4, 
  3/2, 3/2, -3/2, -11/8, 3/4, -3/4, -23/16, 1/16, 3/4, 3/2, 15/16, -3/4, 3/2, 
  3/2, -3/2, -3/2, 1/4, 1/8, -1/2, -35/256, -1/8, -1/8, -3/4, -17/128, 1/8, 
  1, -5/8, -5/8, 183/512, 5/8, 53/128, -61/512, -827/512, -11/32, -4853/512, 
  -937/512, -15/64, -69/128, -509/512, 1299/512, 4665/512, 221/256, -261/256, 
  -475/256, -317/256, -19/32, 375/256, 349/256, 33/64, -219/256, 121/64, 
  157/128, -357/256, -489/256, 1/8, 1/8, -1/4, 819/2048, -851/2048, -3/8, 
  3/8, -453/2048, -613/512, -121/2048, -1/2, -5/4, 1477/2048, 7/8, 533/512, 
  1211/2048, -1/2, -17/8, -17/8, -121/512, 17/8, 1/2, 1/8, -1/8, 1395/2048, 
  1651/2048, 1/8, -3/8, 1/2, 9/8, -453/2048, -231/256, -1/8, -1/2, -15/8, 
  197/2048, 7/8, -3/4, 1/4, 1, 2491/2048, 955/2048, -5/8, -5/4, -3, 
  -1979/2048, 2, -3/2, -3/2, 5/8, 3/2, 3/1024, -43/512, 681/2048, -4217/2048, 
  -1765/2048, -483/2048, 3/8, 145/2048, -99/1024, 7/8, -157/2048, -485/2048, 
  61/1024, -105/2048, -873/1024, -355/1024, 2409/2048, -105/2048, 401/2048, 
  129/2048, 843/2048, 843/2048, -1/4, 1/8, 3/8, -5/256, -883/2048, -1/8, 
  -3/4, 5/256, 3/8, -5/256, -5/256, -5/8, -5/8, -27/256, -1/8, 5/8, -1/8, 
  1/8, -1/4, 29/8, -3/16, 1/32, -93/256, 283/128, 107/32, -5/4, -5/4, -5/4, 
  -5/4, 2, 11/4, -5/2, 17/8, 341/128, -653/256, -397/64, -81/128, -5/4, -5/2, 
  33/128, 1279/256, -3247/512, 1/90, -5/4, -5/2, -5/4, 7/8, 13/8, 1, -2, -1, 
  13/8, -13/8, -21/8, 2, 1, 13/8, 39/16, 4495/256, -13/8, 51/16, -5/4, 5/4, 
  175/16, -11/8, 11/2, -857/128, 2967/256, 1329/128, 1881/128, 35/8, -85/32, 
  151/128, 2, 637/64, 6451/256, 7/8, -9/32, -83/128, 9/8, -5/4, -781/256, 
  -133/32, -42893/4608, 10097/1024, 166537/9216, 325/512, -143389/9216, 
  -4963/576, -34351/18432, -1/2, -18569/18432, -4141/192, -2631/1024, 
  -26255/3072, 405/64, 66191/3072, 51607/1536, -7/2, 41/8, 7/2, 21/8, -9/16, 
  9/8, 7/4, 5/16, 5/64, -75/64, -1/64, -7/8, -9125/512, -7/8, -1919/256, 
  -87/128, 10731/512, -10811/512, -11575/512, 5/8, -13/4, -7/8, -9/2, -5/2, 
  -2, 3/8, 5/2, 7/8, -91/128, 7/8, -4, -89/16, 37/8, 9/8, -3, -2, -3/2, 33/8, 
  1, 249/256, -169/256, 2129/1024, 1647/512, 6375/1024, -3503/512, -81/1024, 
  -1/8, 1713/1024, 9/4, 505/512, -493/128, 4497/256, -9575/1024, 713/512, 
  4683/512, -29185/1024, -3049/512, 2567/512, 1101/128, 5077/1024, -4423/512, 
  2857/1024, 13135/3072, 13999/3072, -1285/256, 45731/3072, 3121/256, 
  6397/512, -809/1024, -18355/3072, -2117/512, -9679/1024, 403/256, -1/12, 
  -1/12, -1/12, 1/8, 1/8, 55/48, -1/8, -29/16, -17/48, -13/48, 6349/1536, 
  13/48, -3/8, 217/768, -35/24, 13/8, -853/64, 99973/4608, 3/4, 19/24, -3/2, 
  -1/8, 1/8, -9/32, -3/64, 1/8, 401/2048, 3/4, -7/8, -254453/9216, 65/256, 
  417757/36864, 335705/9216, -313501/36864, 1470725/36864, 19433/256, 
  -1681069/36864, -66035/768, -1695/2048, 160889/6144, -2535/1024, 6287/512, 
  75/128, -195445/12288, -2764871/36864, -7663/512, 1799537/36864, 
  -126475/4096, -559191/4096, -33819/1024, 5280587/36864, 939851/9216, 
  222317/12288, -45703/4096, 755/256, -1153/512, 1039171/36864, -345/256, 
  -60229/9216, -5895/1024, 226895/6144, -405/512, -295/24, -48769/1152, 1/24, 
  1/24, 101/192, -43/192, 1/24, 1/8, 1/8, 17/64, -1/8, 1/4, 1/4, -1/4, 
  1909/3072, 155/128, -4997/11520, -1/8, -1/8, -1/8, 2, 33/8, 9/8, 3/8, 
  -17/4, 1/2, 1/8, -1/4, -9/4, -3/8, 1/4, 55/32, 11/64, -59/24, 11/16, 
  63/256, -741/256, -71/48, -189/512, 13/512, 369/2048, 1/64, -401/2048, 
  -9919/2048, -12061/1024, 241/512, -3/64, -8427/2048, -8923/2048, -1/32, 
  2087/512, -1/8, 5415/1024, -9151/2048, -137/512, -4855/1024, 177/512, 
  -2431/512, 2417/2048, -7131/2048, -1759/2048, -3537/2048, 18711/2048, 
  -13647/2048, -553/256, -641/64, -6765/2048, 1481/2048, 5/8, -13/4, -3/2, 
  5/2, 27/16, 3/4, -451/256, 31/256, -3/2, -1, -5/2, -415/256, 5/2, 3/2, 
  -2123/512, -19/256, 2891/512, 2507/512, -85/128, -21/64, 563/128, -7, 
  61/64, 21/4, 341/128, -651/512, -91/128, 4153/512, 1675/512, 2257/1024, 
  18877/6144, 5869/6144, 9241/3072, 5027/1536, 1175/2048, 91/256, 6539/6144, 
  5807/3072, 933/128, 1337/3072, -3323/1024, 221/256, -18563/6144, 
  -15809/2048, -31/64, -209/1024, -895/384, -6041/3072, -2625/1024, 
  -3519/2048, 1/2, -1557/2048, 12181/6144, 9059/2048, 791/2048, 2321/2048, 
  1815/2048, -1/2, -2321/2048, 1/6, 1/6, 1/3, 1/2, -1/6, -1261/6144, -1/2, 
  -11/24, -1/6, -7/72, -2899/6144, -1/8, -7/24, -11/24, 5113/18432, 11/24, 
  -5/72, 5/72, 1557/1024, 333/512, -9/128, 62353/6144, -16373/1024, 
  4311/2048, 2913/2048, -4369/512, 207841/12288, 355/4096, 5558789/73728, 
  -6667/2048, -86569/12288, -2035565/36864, -4561517/73728, 707317/18432, 
  -7343/4096, 6191/2048, 127135/2048, 4239/1024, 1123959/8192, -121/256, 
  -548203/24576, -18020731/73728, -4766897/24576, 13935863/73728, 
  -143867/8192, -14836385/73728, -284627/2304, 21899533/73728, 2315201/18432, 
  -35/72, -35/72, -3/8, 3/8, -1871/6144, 4115/18432, 19/36, -1/2, -5/4, 
  1871/6144, 7/8, -1/12, 1/12, 5651/18432, 3091/18432, -5/8, -13/12, -5/4, 
  -24851/18432, 7/6, 5/8, 1/24, -5/12, 7/12, 1/8, 1/4, 29/24, 1, -867/2048, 
  -5417/6144, 1/8, -5/8, 867/2048, -3/8, -1/24, 5/12, -233/6144, -233/6144, 
  1/8, 17/24, 5/24, 1001/6144, -2/3, -1/8, 7875/4096, 6279/2048, -9545/4096, 
  195/1024, -2859/1024, 1/4, -627/1024, -177/2048, 3/8, -7869/4096, 401/4096, 
  -1361/512, -35/2048, -2119/4096, 399/2048, 1411/2048, -35/2048, -465/4096, 
  -183/1024, -7/256, 3/256, -1755/2048, 3/256, 131/256, 505/2048, 1675/1024, 
  1289/2048, -355/256, -5/8, -3105/2048, 7/256, 517/2048, -1213/1024, 
  -6415/2048, -1/2, -7133/2048, -1637/512, 5471/2048, 5797/2048, -541/2048, 
  1/2, 541/2048, 1/90, 2, -43/216, -13657/256, 98/15, 119/216, -1/8, 1/8, 
  5/2, -2, -1/2, -981/256, -62779/2304, -17629/320, 437/1152, 1/2, 11/4, 
  -56/45, 2, -3/4, 43/32, -281/256, 423/64, -431/128, 773/128, -565/256, 
  -5/6, 20/3, 23/48, 481/384, 289/128, 1/45, -1/45, 5/4, 5/4, -5/4, -5/4, 
  -5/8, 5/36, 35/32, 15/8, 20285/2048, -370049/27648, 99937/55296, 
  63449/1152, 3821/576, 421615/9216, -816647/13824, -1884743/18432, 
  -17919/64, 30113/1024, -37217/1920, -513727/46080, -879/128, -9, -757/128, 
  1/4, -3, 3/4, 7/4, -3/4, -1/2, -45/16, 29/16, 21/16, 98029/6144, 
  -17839/2048, -5/16, -52321/6144, -389/1152, -1415/2048, -1/16, 55277/27648, 
  -28615/384, -3839/2304, 277741/18432, 25759/1024, 156925/3072, -34079/2048, 
  -7/8, 15/4, 125/256, 3/4, -3/4, 19/4, -23/8, -21/4, 1/8, -13/8, -8753/1024, 
  -306875/9216, 255145/9216, -529/1024, 85519/2304, -155899/13824, -10153/96, 
  512653/3456, 1/36, 1/8, 17/108, 21/16, -105/16, 1/2, 14065/1728, 19/32, 
  -11/4, -3/2, -1/4, -33/8, 1/2, 4, -6023/128, -5/16, -689/720, 15/8, -11/8, 
  -47/8, -33/8, -549/256, -515/256, 69/256, 293/256, 35851/9216, -5/32, 
  -60403/9216, -272839/9216, -10427/256, 54155/3072, -258535/3072, 
  -11233/2048, 1025/128, 189329/2048, -1587743/9216, 606389/12288, 
  -187007/9216, 6667/512, -199381/9216, 367433/4608, -4393/1024, -9753/1024, 
  169771/3072, 7/6, 615/64, 1193/1152, -211/48, -276509/27648, -5/16, 
  4379/1152, 337/64, 301903/27648, -29/144, -1/36, 1745/1152, -1/4, -7/60, 
  43/180, 55/32, -98147/4608, -5/2, 1/4, 1/2, -13/8, -35/16, 3/16, 33/16, 
  -13/6, -13/6, 5/2, 11/64, 1/8, 75/8, 11/8, 5/8, 13/8, 2, -1081/384, 257/96, 
  1/128, 57/16, 131/64, 3/128, -155/64, -45/8, 28979/18432, 6336695/165888, 
  703601/18432, -1572419/27648, -13672513/331776, 72895/27648, 
  -8147513/165888, -11179673/110592, 5344355/36864, 4743709/110592, 
  -28365461/331776, 114727/36864, -174493/10368, 5677859/55296, 
  -12369871/82944, 967/256, 7483/4608, 5767/6912, 70259/6144, 653975/55296, 
  -3519/1024, -189379/23040, -100657/69120, -1623671/55296, 152749/23040, 
  -7837/276480, -287687/276480, 12325/3072, 880747/276480, 133/240, -7/8, 
  -89927/27648, -4/3, 697/512, 244393/55296, 9427/4096, 6739/27648, 
  -51473/27648, -16081/55296, -2851/27648, 118727/27648, -7/12, -9343/2048, 
  -102743/27648, 43493/4096, 5869/6144, 6127/3072, 94837/6144, 571195/27648, 
  -19727/1024, -982289/55296, -30231/4096, -138203/12288, 14127/2048, 
  1395409/55296, 3421/4096, 5815/2304, -5869/6144, 1959/256, 9971/9216, 
  -6331/2048, 16945/27648, -19025/6144, -237791/55296, 247/128, -5815/2304, 
  16091/3072, 7551/1024, 447311/55296, -8771/2048, -16405/6144, 156835/13824, 
  1328839/18432, 306563/9216, 119683/1536, -26231/13824, -75001/12288, 
  -295495/3072, -2706307/13824, 1026373/18432, -4582997/110592, -214403/1024, 
  -3548815/41472, 8865907/55296, 1488547/9216, 55/144, 6047/2304, -1391/384, 
  251/432, -365/384, -11275/10368, 41/432, 5315/2304, -326219/103680, 
  -17629/2880, 1/108, 13/12, 23/216, 5/8, -7/72, -1/24, 1/8, 1/4, 
  -12907/6912, -17/6, 1/16, -3/64, 13915/6144, 2157/2048, -4751/2048, 
  1585/3072, 8985/2048, -735/256, -259/1536, -17/12, -14683/6144, 
  -31199/6144, -56663/6144, 1015/768, 2995/768, 875/512, -1769/432, 
  -222793/9216, -1445/512, -119495/9216, 117/128, -220951/24576, 
  913645/24576, 180623/9216, -221311/73728, 3226117/221184, 5800435/73728, 
  855631/27648, -14018125/221184, -369895/6144, -157295/1536, -93493/2304, 
  -10753/1024, 630037/4096, 3577787/24576, 177/64, -10822465/73728, 
  38315/256, -2347513/24576, 180397/6144, 7437791/73728, 3289991/18432, 
  -7123/4096, -1523969/110592, -51/256, -319253/55296, 1499/1152, 
  17185/24576, 1633/192, 471269/55296, -211/24, 160885/73728, -1152527/55296, 
  284273/27648, 31741/4608, 2474239/55296, -1/2, -4/27, 19/54, -29/432, 
  -29/432, -217/108, 73/72, 29/432, 1/108, 3/8, -3/32, -36659/9216, 
  -32017/6144, 44233/276480, -125/256, 221/1536, -61/24, 29915/6144, 
  -1889/384, -35/24, -1539/2048, -211/48, 431/128, 163/32, 24511/6144, 
  2731/512, -339/256, -347/512, 230189/69120, 1897/27648, 47/108, -1343/1728, 
  -659/3456, 24449/55296, 66695/55296, -979/3456, 8617/13824, 3033/4096, 
  -333/128, -38479/13824, 29/128, -5753/1536, -28303/6144, 84163/13824, 
  23857/4096, -24025/13824, -23689/6144, 783/512, 404629/55296, 43015/12288, 
  481465/110592, 165547/13824, -24947/4096, 1789/1024, -148699/13824, 
  -333/1024, -496153/110592, 13511/4096, -11671/2048, -685097/110592, 
  -13575/4096, -505/256, -3113/256, 337255/6912, 1009/256, -3929101/138240, 
  2439/32, -5/4, 19/4, 5/8, 287/32, -1108667/3072, 53351/256, 21079/256, 
  -2239/256, 19/4, -71/4, -7187/256, 12257/768, 24/5, -733/64, -580487/55296, 
  -261985/6144, -97723/12288, -273767/9216, -8333993/36864, -208853/3072, 
  3916097/55296, 2829379/13824, -55320017/110592, -5047225/110592, 
  990253/55296, -301789/9216, 357499/6144, 105015/2048, 5703829/55296, 
  4607/768, -3036823/55296, 134957/3072, 5763/256, 52281/2048, 69137/34560, 
  -1810807/92160, 463/216, -1435/216, 10439/128, 3923/432, -238213/36864, 
  -255655/6144, 38309/4096, 12334787/36864, 22669409/110592, 8214019/55296, 
  -80688151/110592, 11773165/55296, -269029/4608, -76663/9216, 2198305/9216, 
  709259/4608, 875623/9216, 34039/3072, -4281629/92160, 2048303/34560, 
  26447/110592, -35099/2048, -816301/18432, 59833/12288, -1/2, 1049/128, 
  35083/6912, 145/96, -9069215/110592, 5425265/110592, -25781/3072, 
  -2562265/18432, -234221/9216, -131231/6912, 203965/9216, 358997/13824, 
  -216893/9216, -5684485/110592, 1053439/27648, 210823/4096, -11579/4096, 
  -453679/12288, -1806631/36864, -340523/36864, -26043/2048, 159/32, 
  8983/960, 27107/2880, 28888847/55296, 210631/4096, 24285/512, 
  10865797/55296, -1718687/6144, 11110829/36864, -44407/320, -1/4, -1/4, 
  -1/4, -1/4, 1/4, 1/2, -1/2, 41/512, -1/8, -3/64, 293/1024, 293/1024, -1/8, 
  -293/1024, 27/512, 293/1024, -1/8, -293/1024, -3/64, -3/256, 3/64, 3/64, 
  293/1024, 293/1024, -1/8, -293/1024, 81/128, 11/64, 3/64, 3/64, 25/256, 
  -219/512, 25/256, 413/1024, 855/1024, 75/128, -17/512, 3/64, 3/32, -1/4, 
  -1/8, 1/4, -37/512, 1/4, 165/1024, 765/1024, -251/1024, -165/1024, 3/32, 
  77/512, 375/1024, -57/512, 255/128, 335/1024, -69/256, -219/1024, -3/8, 
  -37/1024, 1/4, 77/512, 2041/1024, 647/512, 541/1024, -155/128, 93/128, 
  41/512, 561/1024, 3/256, -1/8, 7/64, 1/64, 9/64, 83/256, -1/64, 549/512, 
  17/512, -3/16, -1/8, -1/4, -265/256, 47/512, 1/4, 207/1024, 1/4, 3/64, 
  -1/8, 293/1024, 421/1024, 83/256, 19/256, -1/8, -549/1024, -51/256, 1/8, 
  -549/1024, -549/1024, 1/4, 549/1024, -205/512, -75/1024, -33/512, 163/256, 
  -77/1024, 33/512, 19/128, -19/512, -9/512, 1/8, 257/1024, 495/512, 1/8, 
  371/256, -17/512, -1/8, 1/8, 443/1024, 43/512, -5/64, -221/256, 461/512, 
  61/256, -9/64, 113/128, 123/128, 9/64, 109/256, -717/1024, 5/128, 
  -2593/1024, -149/512, 295/512, -1/8, 37/512, -1/64, 7/64, -37/512, 1/64, 
  -327/512, 197/1024, -27/128, 63/512, 111/512, 93/128, 545/512, -41/512, 
  -201/512, -1/16, -233/512, 1/32, 1/16, -585/1024, -33/512, 271/1024, 1/8, 
  1/4, 265/256, -31/512, -1/4, -159/1024, -1/8, 107/128, 107/128, -1/16, 
  -115/128, 1/16, 1/8, -1/8, -99/256, -67/256, 1/8, 1/4, 67/256, -1/8, 1/4, 
  1/4, -1/8, -1/4, 67/256, -1/8, 115/256, -1/64, 7/64, -131/256, 1/64, 1/16, 
  -63/256, 9/64, -1/16, -163/256, -65/1024, -1/512, -19/128, -1/64, -1/64, 
  9/256, 107/256, 107/256, -1/32, -115/256, 1/32, -1/32, -1/32, 1/32, 
  1171/384, -1/2, 3/4, 3/2, 1, -1/8, -437/20736, -437/20736, -437/20736, 
  -62815/41472, 437/10368, 5/27, -1171/384, 437/20736, 437/20736, 5/27, -1/2, 
  8257/5184, -2125/1296, 1/64, 13/64, -1/90, 1/64, -1/32, -1/18, 
  -269569/82944, -153437/82944, 223723/82944, 73849/82944, -1/32, 
  -14503/13824, -8441/2592, -42635/41472, 1/64, -247/1024, -79/128, -11/180, 
  -1/18, 1/4, 1/4, 1/4, -3/4, -1/4, 3/4, 1/2, 5/8, 63653/41472, 65401/41472, 
  437/10368, -9899/3456, -9899/3456, -62797/20736, 9899/3456, 1/2, -227/512, 
  204665/82944, -34807/41472, -91195/41472, 39071/20736, 489/1024, -1/20, 
  -1/45, -11/180, 1/4, 1/2, 46637/27648, 4581/1024, -95777/82944, 
  151019/82944, 1/90, -1/15, 1/4, 1/2, 1/4, -13/32, -35/128, 5/4, -19/16, 
  -5/4, 2057/20736, -11293/27648, 56845/82944, 41/432, 5/54, 83147/41472, 
  293/1024, -1/8, -293/1024, 5796983/1990656, 1191557/663552, 1351483/147456, 
  3403729/442368, -87/512, -3697489/442368, 241405/82944, 1/4, -23/128, 
  -15/64, -293/1024, -1/36, 1/36, -3/8, -1/8, -1/32, -1/32, 1/16, 1/8, 
  253/1024, 3/64, 215/512, -1/8, 9/32, 1/8, -11/128, -291/512, -121/512, 
  5003/1024, 2777/1024, -181/128, 17/64, -3/32, -165/1024, -805/1024, 
  561/1024, 389/1024, 45/128, 33/64, -11/128, 57/512, -2381/512, -1515/512, 
  -1/4, -179/128, -5555/1024, -7/64, -163/128, 625/512, 987/512, 199/512, 
  -1133/128, -275/64, -15/64, 1875/512, -461/512, -8615/1024, -8879/1024, 
  -30469/82944, -6119/27648, -30469/82944, -21853/82944, -1171/768, 
  -30469/82944, 1507/20736, -329/6912, -21853/82944, -8281/5184, 4423/10368, 
  4919285/1327104, 1171/768, -64723/41472, -52559/41472, -28799/20736, 
  254425/41472, 30863/27648, -1171/256, -17707/27648, -69623/82944, 1171/192, 
  4162303/3981312, -361597/27648, -11293/27648, 2479/20736, -16313/10368, 
  56845/82944, -2479/20736, 5/54, 72823/41472, 5065/13824, 21565615/3981312, 
  -5515145/442368, 5/54, 75839/41472, 95/432, 19867183/3981312, 
  -1355257/82944, -70782307/3981312, 247861/82944, 67439669/1990656, 
  77107/55296, 91989601/3981312, 1044205/442368, -167833/82944, 
  -148511215/3981312, -1333901/165888, 1267099/147456, 3164401/442368, 
  59/1024, -3451249/442368, 405107/82944, -33/512, 20853823/1327104, 
  -151/512, -24608335/1327104, -556597/82944, 12929/92160, -1/360, 1/360, 
  -293/1024, -4717/23040, -13649/23040, -1/360, 13057/46080, -1/8, 
  -13057/46080, -293/1024, -4331/15360, 3/64, -3/64, -3/8, -3/256, -131/256, 
  -179/1024, 1/64, -3/64, -15/128, -9/64, 3/64, 1/64, 373/1024, -3/64, 
  -405/1024, -293/1024, 249/512, -241/512, 37/2048, 3/64, -293/1024, 
  293/1024, 293/1024, -293/1024, -1/4, 933/1024, 293/1024, -1176455/221184, 
  -988477/442368, -7562135/1990656, 4549373/1327104, 366637/27648, 
  -8240767/331776, -149308231/3981312, 2835743/3981312, 4800893/147456, 
  -1950023/331776, -345/2048, 5711521/3981312, 871/1024, 5227805/663552, 
  -6104107/331776, 11475715/1327104, 35699683/3981312, -1012271/3981312, 
  -314747/49152, 2738023/331776, -155/2048, -3644747/1990656, -315/1024, 
  -1061243/147456, -3542701/331776, 905/1024, 15824911/1327104, -811/512, 
  -19369471/1327104, -193933/82944, 293/2048, -293/1024, 1/36, -1/36, -1/36, 
  17/360, 9101/92160, 103/2880, -8359/18432, -141887/276480, 13633/69120, 
  275039/276480, 1/36, -1/30, -1/36, -1/36, -229/1024, 293/1024, 677/1024, 1, 
  -293/1024, 21/512, 21/512, -1645/1536, -557/768, -1837/1024, -3/64, 
  -47/512, 75/512, 101/512, -477/128, -549/1024, 9/64, 85/128, -19/128, 
  -1031/768, -3041/3072, 1/64, 1/128, -3/64, 21/128, 5/128, 1/8, 77/128, 
  1797/512, -1/32, -53/128, 57/256, 1971/2048, 577/2048, -7395/2048, 
  7395/2048, 2227/512, 1/16, 1/16, -1/8, -1/16, 293/1024, 1/32, 9/8, 3/32, 
  -325/1024, 485/512, 17/32, 1/2, -5/32, -837/1024, -1/8, -293/1024, 
  883/1024, 71/128, 23/512, -193/512, 403/512, 915/1024, -257/512, -3/8, 5/8, 
  1/4, 5/8, -7/8, 285/1024, -201/512, -127/256, 575/256, 141/512, -421/1024, 
  91/1024, 2177/512, 373/1024, -381/1024, 153/512, 771/512, 197/1024, 
  -1111/2048, -1393/1024, 1/2, -1291/1024, -25/256, -2035/1024, -7195/2048, 
  -221/128, 2627/1024, 183/2048, 17/128, -103/64, -1527/2048, -3/8, 
  1805/1024, 1565/512, -1777/512, 189/64, 7451/2048, -107/64, -1531/256, 
  14529/2048, 165/64, -4077/1024, -2509/512, -3527/2048, 4621/1024, 
  2193/2048, -10171/6144, -16759/6144, 137/256, -28589/6144, -4413/1024, 
  -3539/1024, -2225/2048, 16741/6144, -229/512, 4353/2048, -477/512, 
  42977/82944, -12665/20736, 9737/82944, 167785/82944, -437/20736, 
  -32609/82944, 183175/82944, -4915/1536, -171/512, -217039/41472, 
  9737/82944, -117935/27648, 3849/512, 235303/82944, -1171/128, -32609/82944, 
  -58207/82944, 23249/20736, 349/128, -303353/82944, -14303/41472, 
  23911/9216, -2471/576, 3547/27648, -22427/5184, -10865/2592, 752249/165888, 
  44405/20736, -9853/1296, -32609/82944, -117371/82944, 34949/41472, 
  152071/82944, 6514687/3981312, -9749/3072, -14303/41472, 238979/82944, 
  -313721/82944, 3547/27648, -73621/20736, -95005/20736, 23299/165888, 
  19019/10368, -391/64, 21569071/3981312, 264461/27648, 3/16, 
  -2550295/1990656, 36199/41472, -1615/10368, -30745/248832, 
  -10433923/1327104, 50587/27648, -4004677/1327104, 156407/55296, 545/512, 
  40991405/3981312, 7840207/3981312, 973/1024, 19620257/1990656, -1/4, 
  -15583925/497664, -228678395/3981312, -19569713/1990656, 54857683/995328, 
  -81308593/1990656, -285757897/1990656, 83147/41472, 182565043/1990656, 
  -83147/27648, -169/384, 157/2048, -1/8, 169/384, -413/2048, -879/2048, 1/4, 
  879/2048, -1/8, 1/8, -5875/4096, 80766533/1990656, -366995/1327104, 
  -773/1024, -2130529/221184, 121/256, 2803811/165888, 53851493/3981312, 
  -11320519/1990656, -6748279/331776, 87321037/1990656, 95212711/331776, 
  -8083855/147456, -45726823/995328, 316853509/3981312, 1515/4096, 
  -10813313/663552, -9607873/1990656, -39/512, 49876073/3981312, -75/512, 
  -5862535/1327104, 758315/147456, 593423/442368, 5904251/1327104, 
  -29201897/995328, -4962125/62208, 76571281/3981312, 40483729/1990656, 
  -6269473/165888, 2027/4096, 110413/3981312, 59066465/3981312, 849/512, 
  -13963/13824, -87/512, -4833031/1327104, -38694505/1990656, -2723/13824, 
  4757083/1327104, -7371101/497664, -59505103/663552, 24883265/1990656, 
  -9014207/995328, -17720795/331776, -46546177/3981312, -2403409/1990656, 
  -407/1024, -441/4096, -1708021/248832, -773/1024, 4147987/663552, 467/256, 
  -26953793/331776, -817/1024, 114851251/1990656, 195948923/3981312, -1/72, 
  -751/9216, -134207/552960, -186947/552960, -26243/552960, 11137/552960, 
  186947/552960, 33923/552960, 15109/184320, -20051/184320, -293/1024, 
  -41479/184320, 293/1024, 3301/9216, -102347/552960, -1/8, -156719/552960, 
  -1831237/552960, -41341/552960, 109033/184320, -3695/2048, -102283/184320, 
  1135/2048, -1/72, 169/384, -751/9216, -166607/552960, -107837/552960, 
  -26243/552960, 11137/552960, 107837/552960, 33923/552960, 41479/184320, 
  -72791/184320, -293/1024, -15109/184320, 293/1024, 20317/46080, 
  -15559/184320, 1135/4608, -48221/184320, 18439/184320, -30167/184320, 
  -49271/55296, 499417/552960, -25/128, 37541/552960, 3241/69120, -93/128, 
  201/512, -561/1024, -293/1024, -677/1024, -1, 293/1024, -293/1024, 91/1024, 
  1/8, 293/1024, -345/512, 791/768, 11/32, 39/512, 6301/3072, 2039/3072, 
  -99/256, 99/256, -103/128, 93/128, 9331/2048, -99/128, -415/512, 217/256, 
  99/128, 101/128, -585/1024, -5/256, -139/512, -159/1024, 99/256, 219/512, 
  -99/128, -103/128, -235/512, 99/128, -71/256, -9/64, -243/512, 159/256, 
  1/4, -7555/2048, 5699/2048, 101/128, 1015/256, 407/512, -581/2048, 1/16, 
  -5/32, 9/8, 7/32, -1/16, -1/32, -1385/1024, 1125/1024, 1305/1024, -1/8, 
  2049/1024, -693/1024, 1/4, 1/8, 1385/1024, 949/1024, -1385/1024, -1/4, 
  11/32, 1185/1024, -1609/1024, -15/32, -617/1024, -285/1024, -117/256, 
  -963/1024, 1407/512, 53/256, -1761/1024, -343/1024, 3/256, 1301/1024, 
  -1219/512, -83/256, -1111/2048, -3201/2048, -1393/1024, -20155/6144, 
  -19567/6144, 9/512, -1/16, 1099/1024, 4139/2048, -3927/2048, 3239/768, 
  15/128, -381/1024, -2119/2048, 9533/2048, 445/1024, 183/2048, 2369/2048, 
  641/512, -167/512, -671/1024, -1/8, -1617/1024, -5057/2048, 269/128, 
  2779/2048, 159/1024, 1/8, -32609/248832, -33907/82944, 62779/41472, 
  18535/10368, 78055/41472, -2293/41472, -138583/248832, 16387/9216, 
  -32609/124416, -790481/248832, 73/243, -1/8, -17965/124416, 32609/248832, 
  -350329/124416, -7025/1152, -474773/248832, 243005/62208, 4915/1536, 
  56197/124416, 3149/10368, 484223/124416, 6719/248832, 802379/248832, 
  -62815/41472, -3849/512, -446873/248832, 1171/192, -5077/4096, 
  -11471681/663552, -1711345/1990656, -52361653/3981312, 1379867/442368, 
  -13/512, -1/8, 15634933/3981312, 4918649/1327104, 3757/2048, 231439/147456, 
  109/256, 62839/82944, -10222105/3981312, -278065/55296, -52471/82944, 
  279/512, -17329579/1990656, -52413119/663552, 549/1024, -18430873/331776, 
  -77/512, 30448435/995328, 33459353/995328, 9022841/1990656, 
  -13890319/248832, 83697907/1990656, 190291129/1990656, -218417/82944, 
  -184596661/1990656, 83147/82944, -107/288, -7721/27648, -4099/13824, 
  1217503/829440, 927433/829440, 5/128, 504427/829440, 442207/829440, -1/16, 
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  -13/128, -317/1536, 1/8, -148247/276480, 1277/6144, -293/3072, 293/3072, 
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