{{1, 1, 3, 2, 2, 1/4, 7/4, 3/4, 3/4, -3/2, 3/2, 3/2, -1/2, 1/4, 2, 5/2, 5/2, 
  1/2, -3/2, 3/2, 3, -9/2, 3/2, 2, 7/16, 1/8, 3/4, 3/4, 1/2, 5/8, 1/2, -9/8, 
  -35/16, 53/16, 5/4, 47/16, 3/8, -3/16, 3, -27/16, 3/8, 1/2, -39/16, 39/16, 
  5/4, 1/2, 3/4, 63/16, -161/16, -3, 3, 3/16, 7/32, -7/32, 1/2, 33/16, 5/8, 
  -813/128, 733/128, 3/32, -7/16, 597/128, 13/32, 13/32, 7/8, -511/64, 
  1061/128, -1/8, 85/32, -15/32, 367/128, -847/128, 247/128, 169/128, 13/32, 
  1/32, -1/16, -35/8, 17/32, 39/8, 5/4, -13/64, -813/64, 13/64, 733/64, 7/8, 
  35/64, 55/16, -39/64, -345/64, 101/64, 5/4, 3/32, -5/32, 11/32, 9/32, 31/8, 
  171/64, 41/4, 5/8, -245/32, 2261/128, -1361/128, 1/16, 471/64, -155/16, 
  -19/16, -107/32, 27/32, 25/16, -49/8, 571/128, 67/32, -13/4, 145/32, 
  101/128, -239/128, 497/32, 41/128, -87/128, -13/64, 715/128, 13/64, 
  -157/32, 1/4, -17/16, -15/32, -213/64, 27/32, 87/128, -95/128, -715/128, 
  41/64, 157/32, 51/16, -13/32, -167/32, 347/64, 121/128, -27/32, 521/32, 
  -87/256, -13/128, 889/256, 39/128, -1029/128, -13/64, 157/32, 1/64, 13/256, 
  -87/256, -41/32, -13/128, 715/256, 307/128, -157/64, -1/8, 23/256, -29/32, 
  -7/256, -13/128, 9/32, -75/256, 87/256, -95/256, -889/256, 17/16, 1029/128, 
  -41/64, -157/32, 349/256, 1/128, -87/64, -7/32, -19/16, 537/256, 13/256, 
  -1063/256, 95/256, 121/256, -175/128, 27/32, 1155/128, -655/64, 629/256, 
  127/16, -2, 1, -3/2, -2, -1, -1, -1, 1, -1, -2, -7, -3/2, -3/2, 3/2, 3/2, 
  3/2, -3/2, -1, -9/4, -7/2, -5/4, -3/2, -3, 3, -3/2, 3/2, -5/4, -1/4, 9/4, 
  7/2, 5/4, 3/2, 3, -3, 3/2, -3/2, -1, -2, 3/4, -5, 5/2, -15/2, -7/4, -13/2, 
  -4, -13/2, -5/4, 1/2, -3, -20, 97/4, -4, -3/2, 3/2, 5/4, -5/4, 2, -3/4, -4, 
  -15/8, -1/8, -1, -1/8, -3/8, 9/8, 7/16, 1/8, 1/2, -5/4, -27/16, -7/2, 
  -39/16, -1/2, 31/16, 39/16, -1/4, -7/16, 7/16, 1/16, -7/8, 15/8, -33/16, 
  1/4, 27/16, 81/16, 55/16, 29/8, -3/8, -55/16, -21/16, 3/8, -3/8, 2, 1/4, 
  -3/4, 1, 39/8, -43/16, -7/4, -5/2, 21/4, -15/4, -1, -77/16, 249/16, 49/8, 
  -159/16, -307/16, 7/4, 29/4, 39/8, -9/8, -3, -23/16, 23/16, 39/8, -1/8, 
  -1/8, -1/8, -53/8, 193/8, -121/8, 325/16, -9, -111/8, 49/4, -3/2, 137/16, 
  3/4, 1/16, 11/4, 231/16, -415/16, -2, 7/16, -1/8, 1/8, 9/16, 1/8, 43/32, 
  9/32, -43/32, -13/32, -19/32, -43/32, 1/16, 15/32, -25/16, 5/4, -1/8, 
  -89/32, -35/16, 9/16, -1, 37/32, 7/4, -85/16, 23/32, 327/32, 19/4, -111/32, 
  5/4, -27/16, -13/4, -19/16, 3/2, 13/4, 3/16, -1/16, -1/16, 1/16, -1/16, 
  -9/16, -3/16, -145/192, 73/48, 23/16, -145/192, 73/48, -79/16, -5/8, -5/4, 
  61/16, -65/32, -145/192, 161/24, 31/16, 1/2, 73/48, -31/16, -449/96, 3/32, 
  -101/16, 23/16, 101/16, 69/16, 67/16, -101/16, -97/16, 1/8, 9, -1/2, 23/16, 
  11/4, -21/32, -11/4, -25/32, -31/32, -4, -29/32, 7/8, 23/16, 7/4, 47/16, 2, 
  1/4, 27/32, 11/16, -1, -11/16, -27/32, 29/4, -85/16, 13/8, -23/16, 27/16, 
  55/16, 43/16, -55/16, -27/16, -29/8, -41/16, -1, -45/32, -17/8, -41/16, -1, 
  151/32, 59/16, -333/64, -119/64, 9/16, 287/32, -61/8, 17/128, -253/64, 
  331/64, -155/64, -367/64, -469/128, 7/4, -17/8, -15/4, -5/4, -263/32, 
  151/32, 773/64, 595/64, -733/128, -5/16, -333/64, -265/64, 9/16, -57/8, 
  301/64, 849/64, -4, -437/64, 17/4, 413/32, -245/16, -1847/128, -41/32, 
  -39/8, 9/8, 3, -49/16, 53/32, -227/64, 191/64, 1/16, 985/128, 5/4, -77/32, 
  -49/16, -773/64, 85/64, 925/128, 15/16, -227/64, 283/64, 1/16, -39/64, 
  73/64, -135/128, 39/8, -199/32, 247/64, -1/2, 607/64, -85/16, 1/2, -225/64, 
  93/64, 1/4, 205/64, 587/64, 199/32, -5/4, 259/64, -199/32, 813/64, 35/8, 
  -733/64, 5/4, -169/32, 607/64, -813/64, -379/64, 733/64, 9/8, -225/64, 
  99/64, 1/4, 5/4, 285/64, -813/64, 733/64, -187/64, -409/64, -181/64, 
  161/32, -259/64, 57/32, -35/8, 305/64, -1/64, -85/16, -303/16, 16, 16, 
  -41/8, -1443/64, -2061/128, -733/128, 669/64, 757/32, 181/32, -469/64, 
  -183/64, 1/2, -1685/64, -1729/64, 131/16, 3073/192, 1455/128, -855/128, 
  -59/48, 187/64, 5/4, 555/64, -41/8, -773/64, -193/8, 269/128, -5/4, 
  -359/32, 669/64, 773/64, 1983/64, -269/128, -3/8, -469/64, 199/64, 1/2, 
  -5/2, 945/64, 773/32, 1569/32, -653/64, -1335/64, -35/8, -397/96, -23/4, 
  -837/128, 1/2, 3131/384, -319/64, 5/32, 55/32, -81/128, 17/32, -3/16, 
  71/64, -83/32, 1/32, 467/128, -7/32, -89/32, -5/8, -105/128, 41/64, 
  813/128, 61/8, 31/64, -733/128, -615/128, -19/64, -161/128, -83/128, -61/8, 
  -53/32, 615/128, 99/64, 179/128, 75/64, -3/4, -91/64, -83/64, -1/8, 
  129/128, -3/16, -1/64, 175/128, 119/128, 87/64, 3/128, -41/32, 11/16, 
  87/32, 63/128, -113/128, -25/128, -83/128, -75/128, 23/64, 179/128, 75/128, 
  -3/4, 25/128, 91/64, 117/128, -87/64, -99/128, -11/64, 15/32, -15/64, 1/16, 
  19/8, 123/64, 5/8, 93/64, -813/128, -93/64, 733/128, 31/32, -311/128, 
  131/128, 53/32, 19/128, -95/64, 19/32, -1/128, -71/32, 71/32, 71/32, 
  -197/256, 9/64, 25/32, 9/16, -161/24, -527/128, -881/768, 605/192, 737/384, 
  -19/96, -37/16, -221/48, 229/192, 101/8, -275/24, -2959/384, -1907/768, 
  1703/96, 871/96, -801/128, 667/192, 1475/384, -977/192, 35/96, -1373/96, 
  -1843/192, -1405/128, 133/32, 1677/64, -161/16, -1913/192, -1907/768, 
  483/32, 3799/384, 1441/192, 1475/384, -2125/384, 35/96, -143/16, -3527/384, 
  -909/64, 725/128, 1717/64, -101/16, 73/8, -1/4, -7/16, 29/64, -51/32, 
  57/32, 39/64, -57/32, -1/32, 41/64, -29/64, 95/32, -303/64, 27/32, 287/64, 
  -3/64, 23/16, 15/64, -107/64, 97/16, -495/64, 99/16, 5/8, 263/128, 175/128, 
  -813/128, -13/2, -319/128, 733/128, 313/128, -1/32, -55/32, -51/32, 111/16, 
  251/128, -313/128, -15/64, 117/64, 17/32, -15/64, -3/32, 379/128, 167/128, 
  589/128, 65/32, 2, 57/32, 455/128, 11/32, -31/16, -39/16, -711/128, 29/4, 
  -1699/128, 14, 43/64, -43/64, -35/32, -51/32, 59/64, -1/32, 117/64, -1/4, 
  -15/64, -13/64, -13/16, -31/32, 21/16, 75/8, -1/32, -47/8, -51/16, -297/32, 
  97/8, 7/128, 375/128, -131/128, 51/128, -83/128, 203/128, 407/256, -41/32, 
  -523/256, -27/4, -355/128, 87/128, 347/64, 109/128, -715/128, -165/64, 
  157/32, 21/32, 417/128, 29/32, -71/64, 225/64, -9/16, -39/128, -7/128, 
  -373/64, -801/128, -51/128, 1703/128, 1029/128, -407/256, -1079/128, 
  523/256, 329/128, 397/64, 115/16, -483/64, -463/32, 2725/256, -1193/128, 
  -237/128, 359/64, 13/128, 787/128, -355/256, -19/64, -2987/128, -1895/256, 
  1097/64, -607/32, 1457/128, 1667/128, -989/128, 1817/256, 581/64, 
  -2839/256, -4571/256, -139/128, -87/128, -13/64, 401/64, 13/32, -1343/128, 
  -13/64, 157/32, 1/32, 13/128, -167/128, 155/128, 51/16, 93/8, -23/128, 
  -2373/256, -11/32, 23/128, -203/64, 3/64, -855/128, 9/16, 189/128, 87/128, 
  -95/128, -401/64, 177/128, 1343/128, -41/64, -157/32, 381/128, 1/64, 
  -27/64, -991/256, 507/128, 13/128, 237/64, 59/128, 121/128, -229/128, 
  27/32, 893/64, -579/256, 315/128, -39/8, 107/16, -87/128, -13/64, 441/64, 
  31/128, 2, -539/32, -37/128, 1361/128, 1/32, 13/128, -167/128, -195/128, 
  -407/128, 191/16, 327/64, -1361/128, -1/4, 23/128, -93/32, -13/64, 
  -617/128, 9/16, 177/128, 87/128, -95/128, -441/64, -459/128, 539/32, 
  -11/16, -1361/128, 349/128, 1/64, 89/64, -173/64, -35/4, 537/128, 13/128, 
  341/128, 95/128, 121/128, -31/128, -111/128, 125/128, 1155/64, 43/16, 
  629/128, 157/64, 127/8, 167/128, 525/128, -151/64, -1735/128, -1483/64, 
  315/64, 6047/256, 1715/64, -897/128, -101/16, 81/128, 247/128, 1947/64, 
  -1403/128, -1877/128, -2613/64, 897/128, 25/32, -3/128, 197/32, 141/16, 
  79/16, -9/16, -711/128, -247/128, 437/128, 1105/128, 2755/128, 2393/128, 
  -519/32, -5803/128, -1399/32, 1281/64, 311/128, -971/128, -5005/128, 
  -1177/128, 6911/256, -1477/384, 1273/128, -985/48, 545/128, -43/8, 
  -1417/256, 1201/128, 1019/128, 285/32, -77/3, 519/64, -2561/384, -2855/128, 
  -17/32, 373/64, -8703/256, 87/256, 13/128, -401/128, -13/64, 1343/256, 
  13/128, -157/64, -1/64, -13/256, 87/256, 83/64, 69/256, -715/256, -147/64, 
  157/64, 1/8, -23/256, 121/128, -13/32, 281/128, -9/32, 35/256, -87/256, 
  95/256, 401/128, -177/256, -1343/256, 41/128, 157/64, -349/256, -1/128, 
  -3/8, -39/128, 267/64, -537/256, -13/256, 283/128, -95/256, -121/256, 
  229/256, -27/64, -1155/128, 679/256, -629/256, -127/16, -87/256, -13/128, 
  715/256, 13/128, -157/64, -173/128, 13/256, 7/32, 159/128, 31/256, 
  -309/128, 1/4, 87/256, -95/256, -715/256, 41/128, 157/64, 393/128, 27/128, 
  -215/64, 531/256, 121/256, -27/64, 1965/256, -161/32, -859/192, -1249/768, 
  10043/768, 335/32, 1249/768, -4295/768, -1151/192, -157/64, 141/64, 
  1105/384, -385/64, -601/256, 97/96, -65/96, 143/768, -7303/768, -3157/384, 
  -881/768, 2029/384, 3323/384, 375/64, 157/64, 1513/768, -1085/256, -83/768, 
  1929/256, -221/48, -643/32, 1039/768, 101/8, -87/256, 15/128, 29/128, 
  401/128, 19/64, -29/128, -1343/256, -53/128, 157/64, -9/64, -451/256, 
  -87/256, -53/64, 839/256, 715/256, 23/8, -157/64, -1/8, 343/256, -21/16, 
  -331/64, -315/128, 9/32, 543/256, 87/256, -1/64, -37/32, -715/256, -19/4, 
  169/128, 157/64, 3, 437/256, 919/128, 271/256, 85/64, -2429/256, -2, 
  -205/256, -557/128, 2043/256, 757/256, 121/256, -127/256, -29/64, 163/64, 
  -63/32, 65/64, 1167/256, 309/32, -221/256, 403/64, -107/64, -97/16, 
  -487/64, 99/16, -2, 1, 1, 1, 7/2, 1/2, -7/2, 1, 21, -1/2, -2, -1, -1/2, 
  5/2, 9/4, -20, 3, 11/2, -5/4, -9/4, -67/8, -21/2, -79/4, -7, 87/4, 107/8, 
  1, -2, 3, -16, 2, 4, 20, -2, 1, -2, 3/2, -5/4, 2, -2, -1/2, -1/4, 37, -12, 
  -30, 4, 3/2, -4, -9/4, -9/4, 39/8, -11/4, -25/4, 5/24, -2/3, -9/4, 51/8, 
  3/4, -2369/48, -3/2, -53/16, 3/8, -35/16, -4, 293/12, 10, -8, 15/2, -1/3, 
  -2/3, 6, 13/8, -9/8, 1/12, -7/8, -13/8, -1/4, -24, 30, 15, 67/2, 1/12, 
  -1/16, -31/12, 31/12, -29/4, -6, 39/8, 39/8, 43/16, 129/16, 21/4, -453/8, 
  33/8, 95/2, 937/16, 57/16, 33/8, -57/8, 75/8, 13/8, -1, -9/8, -3/8, 1, 
  77/2, -8/3, 8/3, -15/2, -3/4, 3/4, 1, 3/2, 3/2, -395/4, 47/2, -439/4, 
  -557/16, -253/8, 565/8, 611/8, -963/8, -9905/64, -5019/32, -41/8, 6111/32, 
  -11315/64, -5/2, -3633/32, 59/4, 5757/32, 6303/32, 43/4, 9, -163/8, -215/4, 
  1611/16, -21/8, -8, 13/2, 6, 7/6, -7/2, -25/2, -5, 197/24, 2, -3/2, -1/4, 
  1/4, -1/2, 1/2, 1/2, 723/4, -43, 15/8, 43, 689/8, -143/4, 15/8, 39, 689/8, 
  129/2, 9/4, 15/2, -493/2, -17/4, 47/4, -12, 144, -1/4, 1/2, -1/2, -2, 1/2, 
  8, 19/8, -7/2, -11/4, -4, -7/4, -2, -1, 1, -5/2, -49/8, 53/4, -17/2, 31/8, 
  1, 6775/96, 963/32, 2265/32, -397/24, -1479/32, 5/16, -307/4, -1835/24, 
  1/8, -6775/96, -6307/96, 983/96, 229/3, 1709/48, 111/4, -15/2, 26, 
  -1223/12, 1785/16, 191/4, 25/4, 95/48, 73/48, -219/8, -1087/192, 25/4, 
  235/192, 195/8, -1103/192, -677/16, 1163/64, 5371/192, 63/16, -1921/64, 
  -7855/192, -7/16, 67/16, -155/32, -3, -799/64, -4045/192, -67/16, 1517/48, 
  1033/24, 53/12, 301/32, -51/32, -7/16, 179/32, -357/64, 519/64, -613/64, 
  -343/16, 611/32, -599/96, 471/32, 3703/192, -811/96, 1/6, -203/32, 341/32, 
  -5/12, -7/6, 1/4, 33/16, -7/4, -55/16, -407/64, 37/64, 39/16, 7, 559/64, 
  -309/32, 6419/192, 33/16, -11/96, -1059/32, -211/32, -3535/96, -407/64, 
  875/32, 37/64, 633/16, 4639/192, -1293/64, -5209/192, 7/8, 37/72, 35/72, 
  -109/72, 1799/288, 1751/288, -3, -697/144, -109/72, 481/32, -185/32, 
  -11/36, 221/18, -17/32, 1373/288, 1/8, 281/144, -905/64, 53/16, 171/64, 
  -69/16, -2039/576, 911/96, 411/64, 1021/96, 7/16, 1/8, -1/4, -39/4, 
  -639/16, -627/4, -111/16, -237/8, 219/2, -12, 2435/32, 1907/32, -24, 83, 
  7801/32, -2005/32, -3515/32, -4533/32, 1/18, -31/72, -1/9, 1/4, -63/32, 
  31/144, -1, -13/72, 317/288, 9/32, -1/18, -19/16, 13/8, 41/72, 991/192, 
  -253/72, 4, -13, 57/8, 3/16, 437/576, -9/8, -8899/144, 1/16, -1/2, -587/96, 
  413/144, 319/48, -7325/144, 3319/36, 49/32, -1013/192, 157/9, 289/192, 
  -33/4, 163/16, 279/32, -11/4, 9/2, 263/8, -139/32, -1/2, -95/8, 83/16, 
  99/16, 23/16, -4035/128, 9, 2859/128, -305/8, 111/8, 6547/128, 509/16, 
  -1921/32, -49/8, -9/32, 4567/64, 1925/64, -541/64, 1045/64, -3, -185/32, 
  1239/64, 2463/128, 1919/64, -61/32, -169/32, -235/128, 549/16, 1359/64, 
  31/16, -21/64, -9/4, 5/16, -115/64, -5/32, -9/64, -7/128, -21/32, 515/64, 
  -3, -1299/32, -1303/32, -1311/64, 1311/32, 1/4, -631/16, 627/16, 2485/64, 
  -1/4, 775/72, 2/3, -743/72, 200/9, 1175/144, -22451/288, 623/9, 22091/288, 
  -1295/48, 1175/144, 2003/144, 2/3, -9385/288, 623/9, -1555/144, 22091/288, 
  -1409/48, 7511/576, 76/3, -11963/576, -489/32, 165/32, -5, 93/8, 7/8, 
  -687/32, 703/32, 81/16, 65/8, 355/64, -2389/64, -31/64, 417/32, -1063/64, 
  -1123/64, -1/2, 683/64, -5773/192, 313/16, 29/16, 1737/64, -583/16, 373/64, 
  915/64, 201/8, -2035/48, 267/8, 341/16, -52, -271/2, 3309/16, 4667/16, 
  -235/4, -22141/96, -67/8, -4541/96, -267389/192, -3705/16, 16745/64, 
  309907/192, 827/16, -2167/32, -4129/64, 1891/96, 587/16, -11905/64, 
  -13997/192, 1703/96, 7979/48, 51343/128, 24001/48, -767/16, -14485/48, 
  -71547/128, 1093/32, -4975/64, 4871/96, -1973/64, -8255/192, -5747/96, 
  481/6, -3641/32, 90025/192, -101/32, 15883/192, -64259/96, -1/16, 715/64, 
  -43/16, 35/16, -11/8, 1/32, 1/32, -27/16, 15/8, -415/64, 633/32, 22665/64, 
  1331/32, -4115/32, 173/192, -103/32, 5551/192, -251/48, -1023/32, -209/48, 
  -8089/96, -2801/24, 755/192, 2965/192, 69/16, 6491/192, 485/32, 8513/192, 
  -103/32, -367/96, -1087/24, -211/32, -3335/48, -8089/96, 1367/48, 755/192, 
  8557/192, 1093/16, -18229/192, -1121/16, -6, -851/72, -143/144, 7/2, 7/12, 
  1169/72, -61/6, -669/32, -737/144, 27305/864, 4607/864, -13/8, 3415/192, 
  55/16, -419/48, -43/12, 363/32, 79/24, -7261/192, -1887/64, -1603/216, 
  22579/1728, 59/4, -1825/96, -123/8, 127/8, -1/12, 1, -2, 23/4, -31/48, 
  -13/12, -365/48, 1225/192, 99/16, -231/64, 231/64, 217/64, -2795/192, 
  159/8, 115/8, -41/2, 625/6, -467/8, 145/192, -125/4, 4265/48, -245/16, 
  161/24, 3355/192, -161/24, -3571/192, -17/4, -217/96, -121/192, 499/3, 
  67/48, -185/8, 377/16, 513/32, 1/16, 161/24, -12853/576, 1127/192, -617/96, 
  7397/288, -115/32, 8715/64, 9323/192, -10381/144, -13679/96, 15137/576, 
  1127/192, -11/96, -6391/288, -211/32, -3005/64, 9323/192, -3775/144, 
  -13679/96, -809/32, -187/96, 2551/32, -12815/96, 975/32, -1/4, -19/4, 
  25/16, -1/4, 31/16, 5/8, 3/16, -3/16, -25/16, -125/32, 9/16, 15/16, 125/32, 
  5/8, 45/32, 135/32, 27/4, -11/16, -79/32, -5/12, 5/12, 11/8, 11/8, -5/12, 
  -11/8, 159/64, -159/64, -1/2, -95/96, -1/4, -205/96, -3, 151/64, 45/16, 
  -407/96, 437/64, 875/192, 11/8, -1091/192, -3, 41/64, -399/64, -1297/192, 
  301/64, -393/64, -15/16, 249/32, 561/64, -139/32, 1, -21/4, 17/4, -29/16, 
  235/32, -365/16, 1899/16, -767/8, 281/16, -267/8, -149, 225/8, -11509/576, 
  2827/1152, 23/16, 146803/1152, 17885/576, -9241/1152, 2827/1152, -13/24, 
  2873/288, 2/3, 1867/48, 9259/1152, -979/96, 82235/576, -13699/288, 1273/32, 
  16003/96, -3829/96, -3, -1985/144, 2827/1152, 503/48, 2777/288, 2/3, 
  5093/96, 9259/1152, -947/96, 82235/576, 8315/384, -12799/288, -1049/32, 
  15323/96, 2549/96, 787/32, 423/32, 13/64, -633/16, -387/64, 315/16, -1, 
  -109/4, -45/8, 807/32, 999/32, -459/32, 31/32, -3/4, -401/16, 1/4, -787/32, 
  2041/96, 815/64, 2021/32, -521/48, -75/2, 55/48, -913/16, -4457/96, 891/32, 
  -1631/48, -7459/192, 2243/192, 5771/96, 4375/192, 111/4, 4889/144, 
  3505/192, -121/32, -53/2, -813/64, 733/128, -981/16, -239/16, 829/32, 
  2053/48, 3085/192, 899/16, 69/4, -12265/144, -313/8, -3023/24, 9629/64, 
  2571/128, 69691/288, -7895/48, -45451/288, 9541/192, -4657/128, -1491/64, 
  835/128, -109/64, 131/128, -29/8, 987/128, 389/128, -641/128, -31/64, 
  -75/128, 1467/128, 113/64, 19/48, 235/32, -333/32, -345/32, -155/96, 
  189/32, 1317/64, 2975/384, -157/12, -513/16, -7865/384, 1061/64, -2053/192, 
  4549/192, -469/64, -231/16, -133/48, 43/96, 1745/96, 3385/384, 499/96, 
  -97/64, -125/96, -7/64, -5/8, 497/384, 559/192, 773/128, 469/128, -733/256, 
  -633/128, -629/128, -55/24, 331/128, -71/144, -1927/384, 83/48, 947/192, 
  -9409/1152, -767/2304, 93/32, 171/16, 38537/1152, 859/384, -9665/384, 
  -42005/576, -979/768, 10789/768, 44321/1152, 111/256, -8297/384, -1849/96, 
  16919/288, 1063/64, -36905/1152, 311/16, -2951/192, 3625/768, -951/128, 
  3013/384, -1955/128, 4673/1152, 743/48, -19465/576, -7433/192, 7705/384, 
  8065/256, -5/8, 9/16, 853/128, 85/48, -2279/256, 181/144, 733/256, -317/64, 
  -1035/128, 17/48, -301/128, -1841/2304, 515/64, 833/64, -277/128, -455/64, 
  -197/24, -1477/384, 3925/192, 73/384, -8687/576, 2671/192, 779/192, 
  -17887/1152, 115/16, -2305/256, -29/18, 23719/2304, 27247/2304, 1127/1152, 
  9/2, 3/16, 5/4, 2, 7/32, 25/144, -7/16, 7/16, 17/8, -39/8, -1235/32, 
  -8999/64, 695/64, 161/32, 6477/64, 1991/8, 4665/64, -393/32, -14749/128, 
  47/16, 18589/192, 2167/32, 845/64, -18437/96, -5075/64, -199/16, -1043/64, 
  13207/192, 43/8, 1849/32, 1235/6, -93/8, -5035/32, -26723/96, 401/8, 
  -21199/192, -3431/64, 13739/96, 2551/64, -9737/96, -789/64, 15249/128, 
  1077/32, 1035/128, 1/36, -1/4, -49/96, 5/64, -55/144, 277/96, 3/32, -61/96, 
  179/48, 37/32, 5/8, -1033/192, -429/128, -773/128, 733/192, 1117/256, 
  695/128, 41/64, 97/384, -169/128, 3, -81/8, 57/8, -171/16, -1991/72, 
  -211/16, 2593/128, 1673/32, 9463/768, -3845/768, -1039/48, -2905/768, 
  -18437/1152, 80389/864, 6977/96, -96053/1728, -14647/192, 19037/1152, 
  19181/1728, -881/768, -1927/1152, 21323/768, 529/384, 2847/64, -13615/864, 
  -109/24, -23347/768, 1099/576, 219/16, 5/8, 491/128, -27/32, -853/128, 
  -1797/128, 27/32, 2279/256, 317/64, 35/256, 59/64, -1399/128, -69/32, 
  1055/64, 451/128, -311/16, -75/16, -131/64, -723/32, 91/32, -11/8, 
  -511/128, -29/64, 1905/128, 361/128, -1283/256, 1/4, 483/128, -9/8, 
  -1195/64, 3451/256, -107/64, -6539/256, -6271/256, 157/16, 21/128, 21/128, 
  -5/8, 1915/192, -19/8, 813/128, -1759/192, -541/128, 5/8, -5627/384, 
  303/64, -813/128, 9391/384, 541/128, 599/128, -205/128, -5873/384, -97/128, 
  5/8, -813/128, 541/128, -1027/192, -389/64, -95/128, -1915/192, 1759/192, 
  299/128, 19/8, -171/16, -997/36, -20953/6912, 2745/128, 30275/576, 
  -47185/3456, -2071/384, -11719/576, -1/3, -18329/1152, 6949/108, -5081/576, 
  -54599/1728, 11399/576, 19577/1152, -109987/3456, 19015/6912, 18041/1728, 
  -12439/576, 7591/144, -83527/1728, 78931/3456, 27341/1728, 66619/1728, 
  96233/3456, -7945/1728, 5/8, -649/128, -835/64, 737/128, -813/128, 85/16, 
  -1993/96, 733/128, 573/128, 7/16, 1691/128, -289/128, -45/8, 6533/192, 
  -573/128, -285/64, -441/64, -849/64, 217/64, 249/32, 1/8, -229/64, 
  -2537/128, 3493/384, 2, -757/128, 2009/128, -707/128, -2851/128, 1501/64, 
  323/64, -73/32, -2729/64, 39/32, 5/8, 5085/128, 845/64, -695/128, -773/128, 
  -2179/48, 911/64, -499/256, -21389/384, 577/64, -19143/128, 1999/128, 
  8857/384, 23015/192, 25913/384, -2821/192, -561/32, -48511/384, 1067/32, 
  -985/16, 32265/128, 595/2, 16233/128, -53161/96, -9069/256, 115885/384, 
  -89479/384, 55777/384, -68941/384, -106055/256, -532435/384, 31015/48, 
  98009/192, 1235467/768, 5/8, 299/64, -41/16, -773/128, -1587/128, 269/256, 
  -5/8, -5/96, 953/128, 773/128, 151/12, -269/256, -633/128, -213/32, 
  1601/192, -61/128, -5/4, -323/128, 139/16, 773/64, 2863/128, -653/128, 
  -11/64, -1123/256, 409/64, -925/128, 171/16, 53957/1152, -839/384, 
  -1899/128, -111695/1152, 763/192, -3941/768, 2201/48, 211/32, -16193/384, 
  -5345/48, 134225/1152, 11603/96, -749/12, 337/8, -29795/192, -3011/384, 
  -47903/384, -15105/256, 127609/384, 10939/192, -4547/96, 7529/192, 6711/64, 
  13549/384, -18031/256, -5/4, 555/64, 773/64, 945/64, -653/128, -11071/2304, 
  -8605/192, -1001/64, 58655/3456, -547/128, 17069/6912, 109249/1728, 
  1321/64, 12979/3456, -1745/192, 141/16, -11/2, -967/36, 837/32, 569/18, 
  2627/576, 233/32, 901/288, -39/8, -2085/128, 1803/256, -287/48, 29815/768, 
  -689/16, -37/128, 113/48, -1433/384, 11/32, -293/48, 1433/384, 15/4, 2, 
  37/128, 727/192, -211/384, -31/4, 67/48, 23/4, 161/32, 425/96, 1465/768, 
  -805/96, -19445/1152, -473/128, 11/192, 2939/288, 211/64, -297/128, 
  -1261/384, 2261/96, -4837/128, 7775/576, 77/96, 5473/64, 3539/384, 
  3073/384, 881/768, 2209/192, -1193/384, -2599/64, -73/32, -713/384, 
  15763/192, 13/96, -523/64, 445/96, -59/8, -89/96, -405/32, -5/12, 25/128, 
  97/192, -25/128, -17/192, 3/128, -269/96, -5/128, 115/128, 275/64, 17/192, 
  33/32, 35/32, -525/128, -135/128, 35/192, 3/2, 29/64, -43/64, 195/128, 
  2179/384, -81/16, -845/128, 775/384, -767/128, 95/64, 31/16, 1007/128, -6, 
  -161/32, -1255/384, -881/768, 161/32, 1255/384, 405/128, 319/192, -395/192, 
  -95/192, -171/32, -221/48, -303/64, 65/96, 101/8, 95/192, 1/8, 205/192, 
  3/2, -721/192, -61/64, -11/128, -3, 509/128, 31/128, -2765/384, 65/128, 
  -127/192, -45/64, -103/24, -3, 311/64, 697/128, -763/192, 533/128, -99/64, 
  -65/16, 97/16, -161/32, -23573/576, -55207/2304, 161/32, 4899/64, 
  25847/1152, 2/3, -10259/288, -2/3, -5309/144, 159691/1152, -571/576, 
  -78047/576, 1147/32, 39271/1152, -46309/1152, -61687/1152, -11509/576, 
  -30019/384, 27919/576, 2163/32, -47429/576, 141637/1152, 10639/384, 
  51709/1152, 16117/384, -6065/96, -19447/384, 1/8, -1/2, 1/2, -1, 1, 243/2, 
  9/2, -4, -5, -1, -3, 1/2, 2, -18, 3, -2, 2, -6, -5, 5, 2, 1/2, 11/4, -9/2, 
  2, 5, -1, 2, 5/4, -3, -2, 5, -31/2, 20, -7, 9, -17/2, -1/2, -3/2, -16, 
  -117/2, -2, -83, 83/2, 75/2, -111/4, -28, 2, -2, -2, 2, 2, 16, -6669/64, 
  -1135/32, 5209/32, 1513/32, -3/8, 11/8, -3/4, -11/8, 3/8, 1/4, -3/8, 9/4, 
  -19/4, -8233/48, 1/2, 8371/48, -7/6, 2239/96, -4693/96, -74/3, 1135/48, 
  251/8, 4979/96, -1639/32, 10733/16, -15017/64, 5881/96, -45299/32, 
  19369/24, 73459/96, 21983/48, -25931/24, 27/2, -15, -5/2, 14, -8, 30, 
  -121/8, 121/8, 6, 17309/144, 1, -1, 1, -1/4, 20353/144, -723/8, -15425/288, 
  2413/6, -41179/144, 15713/96, -7/12, -42271/96, -33/16, 122833/288, 
  82729/192, -18211/48, 9629/192, -51/16, 15143/192, 88753/192, -36523/144, 
  -1, 1/12, 25/12, -7/6, -1/2, 3/2, 7/3, 5/3, 7/3, -3/2, -10, -1/2, 7/4, 
  37/6, -5/8, 11/8, -1/4, -7/8, -3/2, -23/4, 13/4, 7/8, 5/6, 5/4, 1, 
  -4659/64, 18039/128, 10267/96, 4721/32, -1/4, -85/48, 2357/12, -113/8, 
  82025/192, 15557/64, -56341/64, 145849/192, -9, 10, 63/4, 359/16, -13, 
  -375/16, -27/2, 13, -131/4, 37/8, -37/8, -46709/96, -7, 15855/32, 
  86135/192, -20413/192, 333/32, -16603/64, -34983/64, -93635/96, 88747/192, 
  -2745/16, -31/6, 9/4, -133/12, -7, 69/16, 661/48, -45/8, -77/16, -2141/24, 
  12, 1/4, -275/24, -13/8, 81/16, 1/2, 9/4, -43/16, -1/2, -339/8, -129/16, 
  2467/64, 323/16, 483/32, -1987/128, -8239/64, -2453/64, -355/16, -271/32, 
  2691/128, 803/16, 5079/32, -3/2, 1/2, 3/2, -15/16, 55/8, -15/8, -479/16, 
  -111/16, 35/24, 115/8, -25/4, -1537/32, -18883/192, 199/3, -199/3, -199/3, 
  -392/3, 392/3, 392/3, 1, -1, -1, -8845/96, -7627/192, 33587/192, -9599/96, 
  -14351/144, -5353/192, 289/96, -67/64, -27371/576, 35/16, -9265/192, 
  -7867/96, -1, -16, -16/3, 8, 63/4, 15193/8, -91/16, 3323/32, 7/4, -5/2, 
  -15/4, -10541/24, -353, 19291/48, 79097/48, 5863/2, -193/4, -6985/8, 
  -7717/48, -161113/192, -64929/64, -4721/96, 29447/64, 2989/32, 31541/192, 
  -60441/64, 3017/96, 40591/64, -5887/24, 6, -7/2, -783/16, -125/8, 269/8, 
  7/4, 3441/32, 7/2, -10043/96, 15/4, 3, -5, 17, 19/2, -45/32, -5, 23/8, -2, 
  -1, 1, 3/2, -3/2, -15/16, -689/16, 129/2, -129/2, -129/2, 171/4, 9/16, -39, 
  -945/16, -3903/64, -15407/384, -51/32, 1827/64, 6833/192, 33599/384, 
  187/32, -6833/192, -67/4, 4589/384, 1969/192, -1091/192, 1057/192, 893/192, 
  -6335/96, 61/4, 1057/12, -2341/64, 105/32, -989/64, 597/16, 6335/96, 
  -3527/96, -2065/24, -281/192, 2111/96, -2257/64, -819/64, -7769/576, 
  -5123/192, -7925/96, -307/12, 631/16, 343/288, 38785/144, 1/4, 6649/96, 
  15275/144, 166397/1152, -76697/288, -138797/1152, 2317/64, 6713/144, 
  -137/32, 175/64, 5563/576, -2851/288, -26639/576, -4781/48, 781/64, 
  5885/192, -4009/72, 1175/192, 15565/576, 4765/192, -8101/288, -125011/96, 
  230921/1152, 265577/384, 383111/192, -612445/576, -41441/48, 92607/64, 
  -27933/32, -46387/576, -4093/24, -32275/36, -76897/48, 39737/24, 
  735889/576, 154679/96, 111/8, -323/16, 111/64, 1367/48, -1481/48, 173/64, 
  -3565/192, -85/96, 17191/32, -13727/48, -1909/12, 7/4, 429/16, -1831/96, 
  655/24, -3193/64, 69029/1728, 33367/864, -133/6, 863/24, -187/576, 
  -7475/144, -53/16, 15/8, 89/16, -3901/192, -795/128, -2575/96, 91/32, 
  207/16, 2063/576, 167/32, 4583/72, -8507/576, 53267/384, 170665/576, 
  16811/192, -9797/64, 12343/384, 1037/128, -697/192, -56555/384, -6125/48, 
  -102529/256, 19499/288, 114839/768, 611/192, -33373/192, -919/128, 
  -3677/384, 13/8, 1747/96, 4949/384, -13549/1152, -8147/128, -1207/128, 
  4955/128, 3847/64, 8215/384, 145/64, -52723/1152, -3913/128, 665/288, 1/32, 
  1253/288, 2327/576, -1943/576, 2159/576, 2903/144, 73/12, 85/24, 
  -31055/288, -4263/128, 24763/288, -50555/1152, 5005/1152, 182615/1152, 
  -3181/1152, 55/96, 57/32, -57/32, -29/24, -5/16, 311/8, 1/24, -39/8, -3/8, 
  -2, 2797/72, -1/16, -13357/144, 3/8, -855/32, -573/32, -3019/128, 443/128, 
  -1967/256, -113/32, 1071/32, 32417/576, -197/96, 841/32, 1659/64, 
  -14861/384, -1471/32, -449/64, 78443/384, -225/128, -41975/144, -97631/192, 
  -11221/144, 10699/64, -499825/1152, 26483/192, 109315/192, 33503/96, 
  151579/384, 801187/576, -278717/576, -172429/576, -1174729/576, -39/8, 
  -2021/48, -12413/64, -111/32, 175/24, 213/4, 317/32, 8365/64, -3637/96, 
  -2613/64, 367/6, 4195/16, -3211/64, -3695/32, -4879/64, 1021/32, 5519/96, 
  853/12, -9565/48, 276931/576, 20263/48, 50741/576, -272905/576, -12209/48, 
  27631/96, 4435/64, -47117/96, -109523/192, 71927/288, 38491/192, -895/4, 
  -52913/128, -1533/32, -107999/1152, 196895/384, 53239/64, 54065/144, 
  42047/128, -433945/3456, -17675/108, 4325/128, 5057/96, 56191/384, 
  -10381/384, -637/12, -2, 35/9, 38/9, 217/64, -11/32, 649/192, 6377/144, 
  -395/16, 809/72, 191/128, -1847/384, 1/36, 5439/256, 5825/1152, -7933/256, 
  3541/128, 1017/128, -51991/768, -913/32, 11579/384, -5/36, -27653/1152, 
  -8981/384, 3/4, -1075/32, -101/8, 1649/64, 511/128, 9271/128, 2187/128, 
  -1259/128, 3337/128, 7155/128, -2211/128, -32807/256, -13225/256, 
  -8211/256, -26107/288, -493/24, -46381/768, 25441/288, 32195/384, 
  -587179/2304, 133/6, 621349/2304, 15667/192, 10369/384, -53857/1152, 
  -105277/768, -516433/2304, 15659/256, -21/128, -21/128, -2327/144, -2, 
  575/18, -2273/144, 8777/288, -8669/288, -4123/288, 343/32, 499/32, 35/8, 
  -379/64, -835/64, -427/64, -125/64, 835/64, -155/64, -393/128, -89/128, 
  57/8, 361/128, -15/8, 3827/128, 109/24, -2777/64, 3, 2877/32, -11423/192, 
  4551/64, -2951/64, 929/64, -38873/1152, 9121/192, -63475/1152, -17513/576, 
  -14675/256, -56485/576, 45287/1152, -19069/128, -22543/576, 2/3, 39305/768, 
  -190393/1152, 23567/576, -5303/192, 18203/128, 23179/288, 807/32, 
  15961/576, -3619/96, 6371/128, 535/12, 4551/128, -7111/128, -73255/384, 
  -913/128, 52943/384, -10755/128, 136385/768, -3211/128, 81965/768, 
  -310805/768, 126071/384, -505841/1152, -3551/192, -131453/384, 161201/288, 
  -6069/32, -253603/192, 811/24, 440369/576, 4273/16, 1746629/768, 
  406245/128, 129445/384, -36805/24, -28133/768, -2925/64, 68293/384, 
  7255/128, 13207/128, 48395/384, 70/9, -10985/96, -81547/384, -474259/3456, 
  237871/1728, -9257/16, -16885/48, -1489/48, 26981/64, 53/12, 1343/96, 
  71/128, -833/96, -14269/576, -59/16, -27907/288, -2479/96, 27043/384, 
  55271/576, 9, 48839/1728, -2375/216, 361/32, -1259/48, 67/12, -8323/1152, 
  88949/1152, 1565/48, -20725/288, 3155/72, -10771/24, 5899/96, -2999/32, 
  -43339/96, 2147/32, 147/32, 169/96, -143/96, 3/2, -1129/192, -185/192, 
  1943/384, 5/16, -107/48, -427/64, 343/64, 919/192, -541/64, 1001/48, 
  1901/128, 20833/1152, -12163/192, -4937/288, 8057/192, -8465/128, 
  -14467/144, 47207/576, 57349/1152, -2911/768, -43177/1152, -21/32, 785/768, 
  -12355/384, -3/2, 5921/384, -19415/576, 3791/192, 2071/576, -3011/192, 
  -2809/128, 93151/576, -21953/144, 67961/1152, -110263/64, 5, 3929/32, 
  -525/8, -271/8, -3/4, 16671/32, 19185/64, -36, 23/4, 25/4, 47/16, -15/4, 6, 
  -1135/16, 34493/64, 397/8, -137/4, -4081/64, -42765/64, -775/16, -601/16, 
  -32, 203/32, 35/8, -10361/16, -128055/128, 460291/1152, 315101/192, 
  19169/48, 15533/384, -10555/384, 10711/384, 4187/192, -59201/128, -6143/96, 
  29099/128, 101947/384, 65839/384, -55217/64, 77095/192, -41291/192, 
  -10477/96, 318203/128, 1187213/384, -140341/192, -129955/384, 2035841/1152, 
  -230921/384, 2091/16, 123991/384, -167507/768, -1721/192, 2399/96, 
  5687/192, 14819/192, 17035/48, 274969/768, 280925/768, -59209/384, 
  -6635/384, -48437/384, -13969/64, 9461/768, 3989/32, -31843/384, 64, 
  -89305/384, -68273/768, -651/128, 211/8, 4945/192, 28771/256, -19567/12, 
  -196275/64, -146783/192, -526187/384, -76811/768, 11229/128, -59741/128, 
  9519/64, -119809/384, -55925/384, -27825/128, -1243/96, 35389/128, 
  210839/768, -54007/128, -27021/128, -22743/128, 1701/2, -37877/256, 
  16383/128, 5/12, -14307/256, 243425/768, 369/64, -863/32, -3717/32, 479/48, 
  -3843/128, -14717/128, 11273/128, 17099/192, 26905/192, 9, -26905/192, 
  -26905/192, 124941/256, 206021/384, 368335/768, -492437/256, 32, 25801/192, 
  -2753/192, 17235/64, 82783/128, 1457713/768, -1520227/768, -199889/256, 
  -12033/128, 156327/256, -65661/64, 63025/64, 1357617/256, 8613/16, 
  99537/256, -3/4, -3/4, -17/4, -7/2, -7/2, -1/16, -23/16, -3/16, -11/16, 
  23/8, -23/8, -23/8, 17/8, -25/16, -3, -29/8, -29/8, -5/8, 23/8, -23/8, 
  -23/4, 57/8, -23/8, -2, -1/16, -1/16, -5/8, 1/4, -5/8, -1/2, -5/8, 37/16, 
  41/8, -119/16, -15/8, -117/16, -9/16, 61/16, -27/4, -3/8, -9/16, -1/4, 
  97/16, -97/16, -15/8, -5/4, -9/8, -139/16, 321/16, 47/8, -37/8, -1/16, 
  5/16, 5/32, -83/64, 261/64, -685/128, 403/128, -359/128, 4449/256, 
  -3731/256, 5/16, 459/128, -3527/256, -7/16, -73/32, -363/128, 847/64, 
  -3309/256, 337/128, -251/32, -11/32, 675/256, 825/256, -1483/256, 1343/256, 
  -7/16, -7/64, 5/8, -813/128, 733/128, 1/32, 1257/128, -127/64, 261/32, 
  -869/128, -735/64, 403/64, -319/64, 7/16, 909/32, -7/16, -1499/64, -11/32, 
  -113/32, -375/64, 21/16, 567/64, -101/32, -77/32, 5/16, 13/32, -181/128, 
  -27/64, 2097/256, -165/32, -925/128, 3583/128, -1257/64, 2811/128, 
  -359/128, 2941/128, -12183/256, 7019/256, 89/32, -1931/64, 4227/128, 
  121/128, 685/64, -47/32, 509/128, -777/128, 765/256, 391/128, 41/32, 
  -739/64, 10209/256, -5627/256, -883/32, 9555/256, 715/256, 69/128, 
  -4003/256, -69/128, 411/32, 5/8, -21/16, -813/128, 31/8, 733/128, -9/128, 
  1131/128, -47/32, 1231/256, 303/256, -715/256, -117/128, -89/64, 105/64, 
  69/64, 195/64, -1765/128, 10191/256, -1509/64, -945/32, 301/8, 715/512, 
  69/256, -5433/512, -207/256, 5647/256, 69/128, -411/32, 5/16, -131/256, 
  -69/512, -1071/512, 663/128, 69/256, -911/512, -479/64, 911/256, -23/128, 
  -91/512, 547/256, -129/512, 55/64, -27/64, 367/512, 1231/512, 303/512, 
  -1231/512, -105/64, -911/128, 117/128, 911/128, 1221/512, 45/256, 
  -3007/256, 9/256, 197/16, -3331/512, -69/512, 6205/512, -307/512, 
  12137/512, -2563/64, 2149/128, -3321/256, 4195/256, -3185/512, 2533/64, 
  -2005/64, -1821/128, 301/16, 7/2, -3/4, 9/8, 7/2, 3/4, 3/4, 3/4, -3/4, 3/4, 
  7/2, 45/4, 23/8, 23/8, -23/8, -23/8, -23/8, 23/8, 1/4, 57/16, 47/8, 13/16, 
  23/8, 23/4, -23/4, 23/8, -23/8, 93/16, -9/2, 2, -1/16, -57/16, -47/8, 
  -13/16, -23/8, -23/4, 23/4, -23/8, 23/8, 1/4, 2, -3/2, -35/16, 25/4, -21/8, 
  1/8, 21/2, 215/16, 119/8, 73/8, 13/2, -17/4, 117/8, 181/16, -29/8, -21/8, 
  23/4, 327/8, -729/16, 5, 7/8, -11/8, -113/16, 5/4, 113/16, 5/4, -2, -5/2, 
  -81/16, 5, 45/32, -5/32, 9/4, -5/16, 7/16, -25/16, -1/16, -1/16, -19/16, 
  3/4, 45/16, 101/16, 79/16, -15/8, -95/16, -79/16, 25/8, -5/16, 5/16, 1/16, 
  -7/16, 1/32, -7/8, 91/16, 51/16, -45/16, -173/16, -71/8, -33/4, 5/16, 71/8, 
  5/2, -29/16, 29/16, -3/2, -7/16, 5/8, 1/4, -71/16, 237/32, 151/32, 13/8, 
  -13/8, 9/4, 9/4, 173/16, -109/8, -221/16, 375/16, 1283/32, -14, -419/32, 
  -173/16, 21/8, 7, 29/16, -47/16, -117/16, -5/16, -5/16, -5/16, 119/8, 
  -467/16, -751/32, 559/16, -5917/96, 295/32, 161/16, -1133/48, 2, -289/32, 
  -9/8, 29/16, -211/8, -509/16, 2059/16, 109/32, -1/16, 1/16, -1/16, -1/8, 
  5/16, -99/64, -27/64, 99/64, 7/64, 3/64, 99/64, -1/4, -23/64, 45/16, -2, 
  -5/16, 223/64, 47/16, -57/32, -5/32, -339/64, -51/16, 133/16, -11/64, 
  -1099/64, -139/16, 167/64, -61/16, 45/16, 107/16, 15/16, -25/4, -107/16, 
  55/16, 1/8, 3/16, -5/16, 5/16, 7/4, 1/4, 423/128, -163/32, -55/16, 423/128, 
  11/8, -49/16, -1/2, 335/32, 59/16, -3/8, -51/8, 397/64, 423/128, -217/16, 
  -57/8, 29/8, -49/16, -3, -1/2, 471/64, 59/64, 183/16, -29/16, -183/16, 
  -127/8, -273/32, 297/32, 149/16, 5/32, -383/32, -1/8, -85/32, -77/16, 
  129/64, 77/16, 41/64, 59/64, 5, 31/64, -29/32, 3/8, -85/32, -25/8, -19/4, 
  -3, 83/32, 241/64, 81/32, -13/16, -1/2, 151/64, -179/16, 61/16, -35/32, 6, 
  -45/16, -71/8, -121/16, -3/2, 71/8, 69/16, 39/16, 9/2, 11/8, 135/64, 61/16, 
  9/2, 11/8, -683/64, -305/32, 723/64, 219/32, 11/32, -1115/64, 43/8, 
  -689/256, 3091/128, -329/32, 587/32, 617/128, 215/256, -77/32, 61/16, 
  197/32, 319/64, 915/64, -683/64, -3277/128, -947/64, 2265/256, 11/16, 
  723/64, 785/64, 11/32, -5/8, -113/32, 813/128, -251/64, -733/128, -243/8, 
  1371/128, 1763/64, -2349/128, -59/8, 2241/64, 9005/256, -639/64, 5/16, 
  797/64, 403/128, -33/16, -11/2, 395/64, 99/16, -49/64, -7/16, 15/32, 
  -1275/256, -319/64, -121/64, 395/64, 3277/128, 269/64, -2393/256, 1/8, 
  -49/64, -473/64, 15/32, 5/8, -813/128, 733/128, 21/16, -223/64, 271/32, 
  -829/128, 115/256, 5/8, 323/64, -1101/64, 3/4, -477/64, 1223/64, -3/4, 
  69/32, -63/32, 1/4, -153/64, -123/16, -323/64, 319/64, -23/8, 323/64, 
  -909/32, -1071/64, 1499/64, -319/64, 3, -477/64, 909/32, 339/16, -1499/64, 
  -3/32, 69/32, -285/64, 1/4, -319/64, -15/4, 909/32, -1499/64, 89/32, 
  107/16, 393/32, -339/64, 23/8, -165/64, 1071/64, -273/64, 41/32, 49/8, 
  1017/32, -3/2, -21, 501/64, 6917/128, 10705/256, 3731/256, -1041/64, 
  -8511/128, -2493/128, 141/16, 17/2, 7/8, 5755/96, 6535/128, -91163/1152, 
  -1469/16, -11645/384, 4409/256, -32551/768, -1051/256, -319/64, -135/8, 
  501/64, 3277/128, 7625/128, -523/256, 319/64, 753/32, -1041/64, -3277/128, 
  -10161/128, 523/256, 39/32, 141/16, 685/64, 7/8, 299/32, -1659/64, 
  -5741/128, -50177/384, 407/64, 371/32, 4691/144, 3331/64, 99/64, 9397/384, 
  2911/128, -31/192, -1949/128, -5/16, 893/256, -773/128, 733/256, -3/32, 
  -207/64, -83/256, -145/64, 79/64, -41/32, -281/64, 1913/256, -869/256, 
  689/128, -1/16, -97/16, 83/64, -925/128, 403/128, 709/128, -403/128, 
  359/128, 985/256, -15/8, -4449/256, -2691/128, -3/16, 3731/256, 3437/256, 
  -165/64, 119/256, 87/256, 2675/128, 159/32, -3437/256, -179/128, -379/256, 
  -153/32, 73/64, 329/128, 561/128, -5/16, -37/256, -61/64, -99/128, 
  -1049/256, -915/256, -277/64, 481/256, 45/32, -3/64, -551/128, -93/256, 
  169/256, -25/256, 87/256, 321/256, 17/128, -379/256, -321/256, 73/64, 
  25/256, -3, -303/256, 491/128, 681/256, 5/16, -813/256, 733/256, -63/64, 
  5/16, -813/256, 733/256, 335/256, -3/4, -749/128, 261/64, -861/256, 
  -1309/256, 403/128, -359/128, -1029/256, 4449/256, 1029/256, -3731/256, 
  5/128, 1699/256, -279/64, -653/128, 1/2, 43/16, -575/256, 7/256, 739/128, 
  -727/128, -727/128, 5/16, 1505/512, -29/64, -121/32, -67/64, 1149/64, 
  333/32, 2351/512, -265/32, -1933/256, 15/16, 2897/256, 3441/256, 725/128, 
  -2525/128, 4005/128, 2535/128, 5125/512, -6295/128, -6663/256, 5583/256, 
  -377/32, -3583/256, 4253/256, 61/64, 11317/256, 3721/128, 3049/256, 5/256, 
  -2627/64, 3497/128, 7447/256, 5125/512, -1363/32, -953/32, 733/128, 
  -421/16, -3583/256, 2185/128, 61/64, 7097/256, 6941/256, 2425/128, -69/16, 
  -677/16, 297/32, -189/16, -1/16, 13/32, 87/128, 367/256, 105/64, 1509/256, 
  -79/64, 281/128, 43/128, 21/64, 813/256, 69/64, -1925/256, 237/32, 
  -1269/256, -1139/128, -151/256, 7/128, 249/128, 177/128, -149/16, 821/64, 
  -293/32, -359/128, -1431/256, -565/256, 4449/256, 2275/128, 1093/256, 
  -3731/256, -2159/256, 265/128, 513/128, 293/128, -2373/128, -1597/256, 
  2159/256, 103/64, -185/128, 63/32, -27/32, 17/32, -1347/256, -815/256, 
  -2715/256, -161/32, -3, -601/128, -1221/256, 15/4, 259/64, 283/128, 
  2355/256, -179/16, 5145/256, -621/32, -89/64, 89/64, 75/32, 293/128, 
  -127/64, 3/8, -185/128, 19/32, -27/32, -193/128, 63/32, 487/128, -17/128, 
  -1949/128, -215/128, 315/32, 209/64, 2437/128, -149/8, -157/256, -487/256, 
  365/256, 207/32, -1367/256, -485/256, -4021/256, 815/128, 1261/128, 
  1187/128, 113/256, -715/256, -1319/128, 1017/256, 4003/256, 275/32, 
  -411/32, 29/64, -639/256, 657/128, -133/64, -1207/64, 13/32, -13/256, 
  -1869/256, 737/128, 917/256, 313/16, -1807/256, -1823/256, -3629/256, 
  1049/256, 205/128, -2897/256, -257/16, -745/64, 8543/256, 2225/128, 
  -9139/256, 6547/256, 3069/256, -1105/128, -1171/256, -15953/256, -45/64, 
  659/64, 27509/256, 1081/256, -13837/256, 9195/256, -6109/256, -575/64, 
  3239/256, -315/4, -2655/128, 16115/256, 8749/256, -4805/256, 715/256, 
  69/128, -2359/128, -69/64, 7291/256, 69/128, -411/32, 5/8, -131/128, 
  -69/256, -353/256, 2517/256, -333/64, -5041/256, -2981/256, 1995/128, 
  -23/64, -91/256, 117/32, 187/32, 3929/256, -27/32, -659/256, 1151/256, 
  303/256, -5/8, -537/256, -2733/256, 117/128, 911/128, 1105/256, 45/128, 
  73/128, 4785/256, -2991/256, -69/256, 1807/256, -199/256, 315/8, 
  -12441/256, 2149/128, -2621/128, 2057/256, -1517/256, 3405/64, -1537/64, 
  -3099/256, 301/16, 715/256, 69/128, -1359/64, 291/256, -47/16, 2935/64, 
  697/256, -7019/256, 5/8, -131/128, -69/256, -193/256, 1685/256, 529/256, 
  -3493/128, -151/8, 7019/256, -23/64, -91/256, 563/128, 417/128, 4135/256, 
  -27/32, -611/256, 1231/256, 303/256, 359/128, 1147/256, -1101/32, 1/2, 
  7019/256, 1221/256, 45/128, -831/32, 1157/128, 63/2, -3331/256, -69/256, 
  5/256, -307/256, 12137/256, -11417/256, 1023/256, 2107/256, -3321/128, 
  -83/8, -3185/256, 2533/32, -3913/128, -1821/64, 301/8, -1433/256, 
  -2597/256, 23/16, 2571/64, 14211/256, -975/128, -2085/32, -8517/128, 
  5277/256, 1685/128, 783/256, -2151/256, -10751/128, 3989/256, 11159/256, 
  7557/64, -5277/256, 35/64, -775/256, 643/128, -1857/128, -5343/128, 13/32, 
  867/256, 285/256, -2201/256, -5771/256, -13473/256, -10019/192, 3657/128, 
  15007/128, 44891/384, -6301/128, -5201/256, 2595/256, 78713/576, 1199/32, 
  -292397/2304, -2193/256, -3567/256, -1099/32, -6387/256, -13161/256, 
  28295/1536, 10231/256, -10801/384, -4641/128, -28741/768, -1719/128, 
  9941/768, 12093/256, -41419/256, 1011/16, 35819/512, -14035/128, -715/512, 
  -69/256, 2359/256, 69/128, -7291/512, -69/256, 411/64, -5/16, 131/256, 
  69/512, 911/512, -1219/256, 135/512, 2537/512, 479/64, -411/64, 23/128, 
  91/512, -15/8, -3/64, -1847/256, 27/64, -111/512, -1231/512, -303/512, 
  537/512, 4359/512, -117/256, -411/64, -1221/512, -45/256, 1429/128, 21/64, 
  -4041/256, 3331/512, 69/512, -221/32, 307/512, -12137/512, 10313/512, -5, 
  3321/256, -1565/512, 3185/512, -2533/64, 801/64, 1821/128, -301/16, 
  715/512, 69/256, -4003/512, -69/256, 411/64, 5/16, 41/16, -69/512, 
  -813/256, 65/256, 733/256, -825/256, -47/512, 781/128, -65/128, 1231/512, 
  303/512, -715/512, -117/256, -89/128, -303/128, -27/128, 829/256, 
  -2945/512, 10191/512, -1505/128, -7091/512, 301/16, 3497/256, 51/4, 
  3295/512, -18051/512, -3863/128, -3295/512, 9235/512, 2231/128, 911/256, 
  -1067/128, -2955/256, 2361/128, 4897/512, -359/128, 525/128, -1005/512, 
  14857/512, 2915/128, 2351/512, -7301/256, -1605/64, -75/32, -351/256, 
  -4091/512, 3013/512, 1065/512, -1567/512, 3441/256, 7655/256, 1823/512, 
  -2525/128, 875/512, 31/64, -213/256, -813/64, -157/64, 213/256, 10383/512, 
  63/32, -2377/256, -5/16, -431/256, 1923/512, 2501/512, 3759/256, -3183/512, 
  -7095/512, -277/16, 2377/256, 17/128, -1227/512, -1457/256, 233/32, 491/32, 
  1/64, -971/512, 1071/512, -401/256, 739/256, 911/512, 3557/256, -385/128, 
  -911/256, -287/32, 633/512, -105/8, -555/512, -223/16, 9233/512, 3261/256, 
  -557/512, 1777/256, -6213/512, -2345/512, 9729/512, -417/512, 69/64, 
  -2037/128, 1309/256, -249/256, -3555/512, -2637/128, -155/512, 531/64, 
  177/128, 149/16, 831/64, -293/32, 5, 7/2, 7/4, 9/4, 9/4, 1/4, -51/8, 35/8, 
  51/8, 5/2, -3/4, -431/4, 5/2, 69/8, 21/2, 3/4, -1, 1, -15/16, 101, 7/4, 
  9/4, 43/16, -7/16, 7/16, 675/32, 221/8, 255/8, 329/16, -391/8, -1467/32, 
  -3/4, 3/2, -17/4, 4, -3/2, 11, 7, 3/2, -3/4, 7/2, 6, -23/8, 35/16, 6, -6, 
  11/8, 1/16, -641/4, 163/2, 285/2, 14, 43/8, -14, 57/16, 57/16, -11/24, 
  -15/16, 131/16, 113/16, 203/288, -757/72, 69/16, -31/16, -23/16, 9107/288, 
  -31/8, 13/8, -31/16, 31/4, 1, -223/9, 3/2, 6, -33/4, -13/36, -17/36, -7, 
  -7/32, 63/32, 1/144, 85/32, 353/32, 13/16, 205/2, -859/4, -175/2, -1787/8, 
  13/144, 15/64, 713/144, -797/144, 243/16, -39/8, 139/32, 139/32, -353/64, 
  -1307/64, 3/4, 1339/16, 29/32, -2551/32, -6573/64, -31/64, 29/32, 57/32, 
  -1211/64, -83/64, -4, 15/16, 141/32, -35/8, -545/8, -14/9, 14/9, -73/8, 
  35/16, -35/16, -37/12, -23/8, -23/8, 1405/32, -639/16, 20, 1625/64, 145/32, 
  1149/16, 35/32, -835/16, -54661/256, -15511/64, 121/16, 13849/64, 
  -105715/768, 249/16, -15839/128, -195/8, 12687/128, 32309/128, -107/4, 
  -99/8, 933/32, 887/16, -1469/192, 219/16, 2, 27/4, -17/2, 23/36, 27/8, 
  129/4, 41/4, -6559/288, -3/2, 23/8, 1/16, -1/16, 1/8, -1/8, -1/8, 817/16, 
  169/8, 255/32, -21/4, 1089/32, 265/16, 255/32, -9/4, 1089/32, -1409/8, 
  -57/16, -67/8, 595/8, 113/16, 249/16, 1, -296, -5/16, -1/8, 1/8, 3/2, -1/8, 
  -10, -65/32, 27/8, 83/16, 13/2, 55/16, 3/2, -3/4, 3/4, 33/8, 1571/32, 
  -759/16, 339/16, -171/32, 1/2, -63991/576, -2709/32, -7249/64, -25793/576, 
  2325/64, -5/8, 5609/64, 48995/576, -1/4, 63991/576, 71683/576, -577/288, 
  -50741/576, -22921/576, -1097/8, 93, -321/2, 62761/144, -45331/96, 
  -2601/16, -7/8, 301/72, -11/36, 6603/128, 28919/576, -4, -25751/576, 
  -5947/128, -6907/1152, 281/48, -4199/192, -73147/1152, 659/96, 27817/384, 
  27089/576, -455/96, 5/4, 593/64, 41/8, 673/64, 39907/1152, 457/64, 
  -18445/576, -7069/144, -22355/1152, 925/96, 85/32, -43/16, -321/32, 
  927/128, 283/16, 4867/384, 831/64, -2327/64, -9311/288, -5545/192, 
  -19843/1152, 24373/576, -5/24, 183/16, -595/32, 17/48, 121/96, 3/16, 
  961/384, -247/16, -353/16, 1481/96, -875/32, 4887/128, -29/2, -1085/64, 
  97/2, -3799/48, 961/384, 1911/64, 659/8, -1043/64, 5015/96, 1481/96, 
  -1419/16, -875/32, -7507/128, 2827/128, 4789/64, 1295/128, 13/24, 181/864, 
  335/864, 1229/864, -45101/1728, -3551/432, 143/48, 9965/1728, 1229/864, 
  -3139/96, 261/32, 1243/1728, -71093/1728, 111/16, -146/27, -23/24, 
  -599/864, 653/64, -541/32, 35/32, 257/32, 10297/1728, -1465/48, -325/96, 
  -10567/576, -15/16, -5/16, 15/16, 335/8, 681/32, 12867/32, -5359/32, 
  2741/192, -46021/192, 195/8, 6521/32, 2055/8, 81, -8579/32, 8703/128, 
  439211/384, 679/96, -23543/128, 13/216, 479/216, -7/108, -1/4, 17/8, 
  -1087/864, 11/32, -149/432, -4055/1728, 2743/288, -7/216, 141/64, -165/32, 
  -517/216, -953/192, 4747/432, 16, -153/8, 63/16, 3/8, -36203/3456, 13/24, 
  -34709/864, -1/32, -33/64, 9647/288, -1351/1728, -1637/96, -11551/216, 
  15761/864, -89/16, 631/32, 34205/864, -313/192, 1/4, 45/16, -175/32, 5/16, 
  -69/32, -421/4, 293/16, -1/8, 13/4, 781/64, -287/64, -17285/128, -85/32, 
  73579/256, -231/32, -38313/256, 9613/64, -53/32, -31239/256, -2827/128, 
  10811/128, 21/32, 8283/128, -7617/64, -3135/128, 593/192, -881/192, 5/2, 
  2179/16, -639/64, -30887/256, -2403/128, 3043/64, -109/64, -3881/256, 
  -2377/32, -2213/128, -171/64, -11/32, 285/64, -57/32, 141/64, -53/32, 
  15/32, 11/256, 565/64, -927/64, 5/2, 1169/64, 169/32, 2151/64, -31/2, 7/16, 
  1075/64, -1103/64, -1129/64, -7/16, -9655/432, 2/3, 10199/432, 
  -101665/1728, -86975/3456, 49195/864, 224693/1728, -106733/1728, 15281/288, 
  -86975/3456, -14491/432, -46177/864, 224693/1728, 14939/432, -106733/1728, 
  21449/288, -76543/1728, -20767/288, 34583/864, 15761/384, -839/128, 19/3, 
  -57/8, -29/32, 1513/64, -4319/192, -185/16, -737/48, 9/2, 4843/96, -453/64, 
  -745/32, 2281/48, 751/16, -5/24, -8233/192, 5405/144, -2537/192, -77/48, 
  -1667/64, 6869/192, -1333/64, -1197/64, -895/32, 37469/576, -3/4, 
  -14053/192, -11311/192, -43, 5195/96, -2867/96, 157573/384, 1927/32, 
  -216943/384, 2763/64, 5631/64, -1130153/768, 211697/576, 1109099/768, 
  1468369/768, -4753/128, -197365/768, -266137/768, -404609/2304, -2547/64, 
  48475/256, 23629/48, 300659/2304, -36605/256, 221739/512, 177775/768, 
  -94703/256, -113235/256, -929821/1536, -615/64, -250621/768, -25553/288, 
  167/64, 88729/192, 27929/288, -30389/256, 7331/64, 761917/768, -499/72, 
  -759107/768, -154337/192, 29/96, -5383/192, -81/64, -105/16, 699/64, 25/96, 
  -1/2, 15/2, -17/2, -119/8, 3629/64, 27797/64, 1831/64, -6861/32, -109/8, 
  4795/384, 703/16, 8129/192, -1975/64, -21179/192, -523/3, -7267/96, 
  8845/96, -47845/768, 91033/768, 8477/96, -69577/768, -6161/64, 4795/384, 
  8213/192, 19253/192, -1043/64, 1691/24, -523/3, -10789/96, 8845/96, 
  -66073/768, -41209/384, 28069/192, 46729/384, 17/2, 15979/864, 5801/864, 
  -27/8, -1361/288, -17365/216, -1491/32, 677/96, 14233/432, -45643/2592, 
  -4241/1296, -347/96, -3861/64, -2551/32, 6193/192, -255/16, -555/16, 
  -5987/96, 9743/144, 6689/96, 35321/648, -32375/1296, -130/3, 915/16, 
  2629/16, -1375/32, 593/16, 1/2, -9, 37/4, 145/96, 89/48, 1355/96, 
  -4759/384, -3671/192, 1573/128, -1573/128, -1555/128, 4673/128, -5/16, 
  -1409/32, -17/4, 1399/32, 321/32, -423/128, 83, 2673/32, 637/16, -217/16, 
  -5733/128, 13, 5997/128, 107/16, 363/64, 223/128, -141/8, -11/4, 52, -1/16, 
  -891/16, -2849/64, -237/16, 17761/384, 1767/128, 1687/32, -1451/48, 
  -1051/32, 6449/128, -3883/128, -257/96, -4021/64, -30941/384, 1767/128, 
  1061/32, 9065/96, -627/32, 7809/128, -3883/128, -307/3, -4021/64, 4321/64, 
  585/64, -12301/64, -7937/64, -5097/64, 3/8, -3/8, -5/16, 295/32, -1/16, 
  1/8, 1/8, -1/2, -1/16, 11/16, 75/32, 363/64, -3/4, -75/32, -363/64, -57/64, 
  -251/64, -157/16, 7/16, 133/64, 41/24, -41/24, -37/16, -5/2, 41/24, 5/2, 
  -291/32, 291/32, 1/2, 1037/96, 39/8, -521/96, 1, -159/128, -3125/128, 
  -659/192, -35/128, -109/24, 25/16, 37/6, 1, 207/128, 7/128, 647/96, 
  -291/128, 1217/64, 7/8, -1171/64, -1577/64, 559/64, -1, 7, -6, 7/8, -185/8, 
  711/32, -5/8, -691/32, -169/4, -367/16, -493/8, 571/8, 4357/864, 
  -79381/6912, -229/48, 402503/6912, 203323/3456, 21517/2304, -107299/6912, 
  -25/24, -40735/1728, 1/3, 6527/576, 552911/6912, 37727/1728, 185665/3456, 
  161969/1728, 96307/864, -6299/1728, -66113/432, -41/48, 8411/144, 
  -107299/6912, -285/16, -37327/1728, 1/3, -4111/96, 552911/6912, 34319/1728, 
  185665/3456, -63893/2304, 164723/1728, 151331/1728, 8341/1728, 
  -209507/1728, -2401/64, -1867/64, 147/64, 3295/64, 1487/64, -159/8, 11/8, 
  1857/64, 59/8, -2553/64, -3047/64, 635/64, -17/32, 7/4, 27, -27/32, 
  2381/64, -19117/576, -3293/64, -731/8, -9701/576, 37, 3227/288, 5231/64, 
  3439/72, -2197/64, 32923/576, 5599/72, -9019/576, -76669/1152, -34495/1152, 
  -1097/8, -281281/1728, -2201/64, 335/16, 8337/64, 6075/128, -5197/256, 
  5877/16, 22385/192, -2769/32, -14549/48, -5947/96, -12391/32, -1337/16, 
  338305/864, 3665/16, 157775/288, -386797/576, -8893/256, -985877/864, 
  966965/1152, 1163575/1728, -89875/576, 66591/256, 7057/192, -8031/128, 
  -5/16, -1299/256, -2747/256, -19/16, 893/256, -73/768, 507/256, -773/128, 
  689/384, 733/256, 81/16, 2849/256, 1093/256, -2285/384, -17027/576, 
  -5683/384, 977/128, -151/32, 16297/1152, -139/64, -3093/128, -26485/1152, 
  -4493/288, 33899/768, 22573/1152, -20273/768, 5179/288, 16565/1152, 
  27503/768, 515/192, 18203/2304, 2845/288, -10619/2304, -17849/1152, 
  5267/576, 635/128, 263/192, -391/128, 319/128, -327/64, -133/16, -3317/256, 
  -487/128, 1499/256, 2067/256, 3389/256, 2257/256, -1301/256, -5/16, 
  813/256, -733/256, -425/144, 13457/768, -3955/768, -3815/256, 43615/2304, 
  -287/36, -1307/128, -477/16, -4145/64, -6523/768, 2611/32, 13453/96, 
  4175/1536, -1077/16, -14303/192, 487/32, 33883/768, 25063/384, -34967/256, 
  -25703/384, 6289/96, -18239/384, 8531/128, -4935/512, -355/32, -7243/256, 
  19889/256, -11303/768, -7233/128, 2243/48, 1063/16, -1919/64, -6287/128, 
  359/128, -5/8, -303/16, 67/576, 3181/128, -1331/1728, -279/32, 343/64, 
  933/256, -7/3, 4175/2304, 13033/1728, -711/64, -357/32, -731/768, 549/64, 
  8011/384, 4531/768, -44537/768, 7327/2304, 297823/6912, -8891/384, 3/2, 
  35377/6912, -5747/384, 13045/576, 2437/864, -295493/6912, -141455/6912, 
  27937/6912, -9/2, -3/16, 21/32, 127/32, -9/32, -929/1728, 5/16, 27/32, 
  -105/64, 261/64, -979/128, 403/64, 335/16, 1573/32, 23097/64, -1573/64, 
  -475/4, -75701/288, -10995/16, 703/192, 134183/1152, 197371/768, -465/16, 
  9269/64, -10671/64, 10159/32, 14227/384, -369119/1152, 1123/32, -7293/64, 
  -5519/16, -1215/16, -10175/64, 14021/256, 2281/64, 2366557/2304, 
  -65207/384, -106811/96, 23777/192, -57803/256, -107773/256, -17077/96, 
  -72419/256, 989/192, 71257/256, -15837/256, -11497/128, 5/16, -893/256, 
  13/432, 773/128, -733/256, 9/64, 49/192, -147/128, 271/64, -1913/256, 
  419/432, 829/256, -2261/384, -103/384, 83/16, -559/36, -543/256, -319/128, 
  3607/768, 1713/256, 3317/256, -685/768, -1627/256, -1633/256, -1421/128, 
  173/384, 1761/256, 5/16, 27/2, -813/256, 733/256, 271/64, -21, -821/256, 
  203/16, 477/16, 76451/2304, 14401/768, -1487/24, -56449/864, -22399/1536, 
  343/12, 116515/6912, 481/96, -276955/6912, 107855/5184, 847579/6912, 
  2194/81, -482803/6912, 192985/6912, -273125/10368, 2351/512, 4717/2304, 
  -9125/768, -1603/256, -13865/864, -242959/10368, 3441/256, -8305/768, 
  461/288, -5665/256, -359/128, -13109/256, 65/32, 303/16, 43265/384, -65/32, 
  -3181/128, -45763/768, 199/32, 205/128, -1707/256, 17/8, -34871/256, 
  5245/768, 25109/256, 601/64, 79/32, 17/32, -805/128, 5129/128, 1905/256, 
  69/64, -24407/256, 91/256, 1945/128, -6499/256, -1797/256, -8971/256, 
  5295/256, -7657/256, 189/128, 9045/256, 2865/128, -4401/256, 23/256, 
  23/256, 359/128, -9127/768, -1/4, -4449/256, 3685/768, 3603/256, -359/128, 
  7583/384, 1009/128, 4449/256, -11801/768, -3603/256, -1967/256, -3415/256, 
  2029/192, 1461/256, -359/128, 4449/256, -3603/256, 3217/768, 737/128, 
  -383/256, 9127/768, -3661/768, -1783/256, 1/4, 241/8, 74717/2304, 
  -207251/41472, -15353/256, -489755/6912, 83603/2592, 15719/768, 31601/1728, 
  1/6, -276685/6912, 289883/10368, 347567/6912, -398425/10368, -30289/1728, 
  190069/6912, 478681/20736, -619963/41472, -69053/2592, 122293/2304, 
  166187/3456, 270799/10368, 359207/20736, -248077/20736, -1741541/20736, 
  401035/20736, 101663/5184, -359/128, 1057/256, 557/64, -977/256, 4449/256, 
  3/64, 57689/1152, -3731/256, -2795/256, 3/2, 973/256, 1081/256, -25/64, 
  -93311/1152, 2795/256, 393/64, 687/128, 1983/64, -739/128, -1721/128, 
  483/64, 243/64, 8309/256, -74185/2304, -149/32, 2843/256, -3487/256, 
  8971/256, 6683/256, -2333/64, 27/16, 2827/128, 2931/64, -983/64, -319/128, 
  -8817/256, -423805/1536, 2451/256, 3157/256, 49079/768, 362197/768, 
  511/128, 26959/288, -733/256, -315/32, 92427/512, -7783/256, -35309/2304, 
  -1702213/2304, -29929/288, 6101/128, 691/32, 611347/2304, 911/64, 1937/64, 
  1014185/1536, 75947/192, -55235/384, -135305/128, 66701/2304, -2909/48, 
  -402515/512, 6899/8, 98061/512, -329735/512, -94177/64, 3176237/2304, 
  1001561/512, 2970491/1536, -359/128, -2629/256, 665/128, 2025/128, 
  9083/256, -99/64, 319/128, 8455/2304, -4035/256, -3237/256, -93199/2304, 
  -337/256, 2015/256, 3035/192, -27989/2304, -1185/256, 339/64, 1847/384, 
  -1443/128, -7287/256, -4531/64, 1467/256, -1505/384, 6479/1536, -691/256, 
  155/64, -487/16, -9421/128, -6601/768, 24679/384, 148649/768, -1139/192, 
  -17083/384, -20777/192, 1043/64, 37687/768, -6167/96, -12907/96, 27929/384, 
  22481/192, -18989/384, -6085/384, -7927/256, 247711/768, 31445/192, 
  130961/256, 22385/768, -30643/128, -26247/256, -129461/768, -10127/64, 
  68185/512, 359/64, -297/16, -2025/64, -33553/768, 275/32, 171115/1728, 
  92299/1152, 2899/64, -478055/20736, 63547/1152, -1506145/20736, 
  -621791/5184, -42, -483733/20736, 6325/576, -18013/768, 1863/128, 
  373811/2304, -11363/768, -105713/432, 276245/6912, -13337/384, -38755/216, 
  3317/144, 44381/1152, -10733/512, -111/4, -152305/1536, 2061/32, 1961/256, 
  -1013/192, -199/96, -991/128, 2851/192, 199/96, -919/96, 19/2, -1969/256, 
  1529/768, -3553/256, -323/16, -1/32, 1235/192, 171/16, -3497/256, 
  -1587/128, -3707/512, 2943/128, 39605/768, -1089/256, -4977/256, -4453/96, 
  627/64, 2155/256, 2961/256, -1065/32, -7695/256, 9617/192, -515/128, 
  9471/128, -7161/256, -2767/128, -2351/512, -5143/256, 1719/256, 23957/256, 
  13/64, 1703/256, 12741/128, -225/128, 983/256, -3441/256, 7403/256, -35/8, 
  2525/128, 191/384, 91/256, -79/96, -91/256, 125/384, 195/256, 2089/384, 
  -225/256, -449/256, -489/64, -125/384, -329/128, -167/128, 2047/256, 
  559/256, 731/768, -863/256, -73/64, -245/256, -177/32, -7753/768, 2473/256, 
  2065/128, -857/384, 2857/256, -161/128, 1/8, -3537/256, 291/32, 3497/256, 
  2385/256, 2351/512, -2075/128, -2385/256, 733/256, -2045/256, -839/128, 
  117/16, 79/128, 4445/256, 3441/256, 1335/256, 535/256, -2525/128, 
  -1067/192, -39/16, 551/192, -1/2, 1415/96, 1617/128, -995/256, 1, 
  -1221/256, -4351/256, 5737/768, 1657/256, 6895/768, 47/8, -463/768, 1, 
  -2089/256, -7531/256, 2617/768, 1865/256, 207/128, 19/2, -149/16, 3689/256, 
  7705/384, 263005/13824, -7519/384, -3499/108, -88343/6912, 1489/256, 
  42623/3456, -1/3, -558821/6912, 450119/6912, 2950/27, -278209/3456, 
  -36607/3456, 174029/6912, -172181/6912, -11659/6912, -1141/1728, 
  138173/1728, -11885/1152, -105521/1728, -474007/6912, 787253/6912, 
  286019/6912, -18331/6912, -105901/3456, 281/64, 96215/1728, -28721/768, 
  115/16, 23/8, -55/8, 11/4, -9/4, -6503/8, -207/8, 19, 115/4, 8, -9/4, 
  -31/4, 13/8, -5/4, -5/2, -19/4, 1/2, -5/2, 3, 29/4, -9/4, 5/2, 1/8, -3, 1, 
  6, -15/16, 207/8, -27/2, -115/4, -1/4, -27/2, -1079/16, 7/4, -5/2, -21/4, 
  159/8, 7, -7/4, 127/8, -12, -23/8, -13/8, 3, 4, 157/2, -91/16, 89, -887/16, 
  -935/16, 19/16, 251/8, 5, -1/2, 2, -2, 11/2, 3, -1, -7/2, -4, 5283/32, 
  525/16, -6845/32, -3081/64, 41/32, -15/8, 17/16, 15/8, -133/32, -13/16, 
  -79/32, -137/16, -517/16, 18065/192, -27/16, -19235/192, 20197/1152, 
  -27655/1152, 73465/1152, -9875/288, -9887/144, 4709/128, 13691/576, 
  8225/128, -694503/256, -10945/128, 2151793/1152, 270757/64, -2871497/1152, 
  -2491373/1152, 334739/576, -189673/576, -557/8, 313/4, 143/8, -297/4, 8, 
  -301/2, 371/16, -371/16, -25, -91933/576, 3/4, 13/4, -3/4, -13/4, -5/4, 
  -3/16, -56815/288, -537/16, -7853/288, -2216827/1152, 2043905/1152, 647/36, 
  -175/144, 958601/1152, -15/8, -118031/144, -244609/288, 776201/576, 
  -18037/64, -3/8, 42581/384, -187657/288, 766819/576, -11/4, -35/144, 
  805/144, 251/72, -5/8, -1/24, 43/36, -133/36, -17/36, 23/8, 49/4, 149/24, 
  -35/16, -203/72, 47/32, -57/8, 19/16, 121/32, -1/4, 65/8, 495/16, -99/16, 
  -105/32, -203/72, -109/16, -21/8, 1708/3, -98799/256, -106081/1152, 
  -3447/16, -7/16, 16585/288, -27137/144, -143/4, -58169/144, -16561/192, 
  277523/384, -729161/1152, 81/2, -279/4, -475/4, -2627/16, 811/8, 2751/16, 
  597/8, -149/4, 905/4, -81/16, 393/16, 2034751/1152, 23/4, -234007/128, 
  -428981/384, 126035/192, 279105/256, 77363/128, 188027/128, 457655/192, 
  -2183429/1152, -197487/128, -199/72, 1/16, -21/16, 2765/144, 1/12, -327/64, 
  -2753/576, 213/32, 267/64, -84443/288, -149/12, 3/16, -1205/288, -73/32, 
  309/64, -1/8, 17/16, 353/64, 1, 28681/192, 993/32, 11203/384, -26905/384, 
  1071/64, -14923/768, 81275/384, 571/128, 30649/384, 947/64, 9211/768, 
  -9587/192, -4097/16, 31/8, -267/32, -283/32, 31/12, 157/32, 41/16, 317/16, 
  193/8, 489/16, 1229/288, -845/48, -247/64, 2573/32, 1025/8, -1523/9, 
  1523/9, 1523/9, 5303/18, -5303/18, -5303/18, -3/4, 3/4, 3/4, 433/3, 
  90347/1152, -273893/1152, 4255/24, -8633/216, 11941/288, 6163/288, 
  -1067/36, 62651/432, -45/16, 3599/48, 34921/288, 8, -16/3, 13/4, -29/4, 
  37/12, -93/4, -76/9, 143/12, 967/48, 29935/288, 17/8, -17/16, -1389/64, 
  6023/192, -1/16, 41/8, -101/4, -24275/18, -1677/16, -176579/36, 
  -611923/768, -252779/192, 4189/32, 870551/576, -563657/2304, -585689/256, 
  -1103689/384, -470597/1152, 813011/288, -8841481/2304, -759, -1173625/384, 
  454127/1152, 841037/288, 750059/96, -47/12, 67/24, 3643/64, 2063/96, 
  -351/32, -11249/384, 521/128, 835/24, -12113/1152, -2363/192, -23/4, 41/4, 
  -95/4, -87/8, 1803/128, -25/4, -169/32, -3/2, 3/4, -3/4, -3/4, 3/4, -15/4, 
  -33/4, -1773/32, -381/32, 87/2, 1773/32, -157/16, -13/4, 9/4, 75/4, 
  11889/128, 97105/1152, 757/32, -2067/128, -49193/1152, -51185/576, 
  1565/384, 41579/1152, -7577/384, -15943/1152, -7411/288, 6817/576, 
  -5935/288, -19127/1152, 236/3, -2437/64, -51967/384, 7273/128, -4945/128, 
  14819/384, -5221/128, -236/3, 58313/576, 51611/384, 1127/18, -9257/144, 
  6761/128, 1115/64, 3329/54, -32563/384, 124495/576, 9175/144, -5649/128, 
  -17609/216, -140689/864, -27/32, 6171/128, -692477/3456, -2489255/6912, 
  8329/54, 1996727/6912, -13847/256, -137537/2304, -607/96, -3129/128, 
  -1511/18, 74131/6912, 22313/768, 58835/576, -2785/384, 3011/288, 
  148861/2304, -56923/2304, -66493/3456, 5327/2304, 157403/3456, 
  4569623/1152, -5639791/6912, -3205769/2304, -3252151/576, 18739417/6912, 
  43001/18, -539001/256, 469799/144, -7805999/6912, -1872095/1152, 
  -73339/13824, -6531529/4608, -47749/64, 15162341/6912, 76027/32, -1097/16, 
  519/4, -1417/192, -23239/144, 21367/144, -27929/576, -1499/192, -33685/192, 
  25217/192, 7135/32, 16697/32, 3407/16, -12733/96, 35, 3767/288, 5991/32, 
  -149513/2592, -334513/5184, 3535/36, -4149/64, 44285/864, 14881/64, 43/24, 
  -9/8, -233/48, 27065/768, 3041/256, 22327/768, -4217/512, -5443/384, 
  -80569/3456, -3449/384, -370231/6912, 42485/1728, -142055/256, 
  -1226519/2304, 310067/768, 918695/2304, -56285/384, 344309/576, 5689/128, 
  -176249/384, -1185/8, 962779/1152, 11095/288, -387913/1152, 6181/48, 
  323795/576, 321/16, 45221/2304, -21/8, -58151/1152, -49685/2304, 
  108503/3456, 8893/128, -1189/768, -5135/96, -10125/128, -3041/1152, 
  695/128, 23411/3456, 671/192, -35251/3456, 19/192, -1579/864, -7753/864, 
  3793/864, -469/54, 1105/72, 2065/144, 5065/864, -5691/64, -275171/6912, 
  51919/576, -39155/6912, -17905/2304, 921503/6912, -464309/6912, -197/288, 
  -175/96, 175/96, 41/36, 15/16, -3595/64, -295/576, 39/4, 17/16, 229/32, 
  -46153/432, -1/4, 79735/864, -17/16, 68773/384, 1023/32, 11915/128, 
  -28429/256, -37689/512, -189/32, 585/64, -271681/2304, 8111/576, 
  -68479/384, -825/32, 480301/2304, 607/96, 287/64, -45767/288, 10147/256, 
  -409981/3456, 722401/1152, -108269/3456, -52881/128, 61889/1152, 41591/192, 
  -691471/1152, 1063/32, -748121/2304, 606325/6912, -45923/6912, -173267/128, 
  -433465/6912, 335/16, -8041/288, 52301/128, -5359/64, -6115/576, 
  -44677/384, 2171/64, 9069/64, 401393/1152, -3705/32, -24125/288, 44083/256, 
  423257/768, -335225/768, -126273/256, -3861/64, -13123/192, -31397/192, 
  460687/768, -11645873/6912, -692153/384, -64307/864, -28357/108, 
  1362793/2304, -4065/32, -1490951/2304, 314247/256, 78895/48, -7089515/6912, 
  -182371/384, 251093/384, 761951/768, 3541/16, -541105/6912, -2038219/2304, 
  -111979/64, -10254805/6912, -332931/256, 18056707/20736, 17406217/20736, 
  -1283087/1536, -655/192, 1116583/1152, 6390919/4608, 66501/256, -973/108, 
  133/216, 206/27, -33/16, -103/128, -775/128, 74287/864, 48, 1799/864, 
  3875/64, -5341/2304, 13/432, -1239/8, 8887/6912, 5925/64, -5501/64, 
  -79/256, 84083/576, 1171/64, -28879/1152, 1025/864, 94057/3456, 28933/1152, 
  5729/576, 55879/384, 1633/64, 32461/768, -63/4, -73687/768, -27539/256, 
  6913/256, -25427/192, -3565/256, -26807/384, 22625/192, 1393/256, 
  171493/1536, 138275/2304, 2219/1152, -230227/4608, -128987/2304, 
  -78479/1152, -1598903/13824, -19411/576, 678679/4608, 117389/1152, 
  162835/1536, 209935/3456, 364057/3456, -338783/4608, -1465/864, 1/256, 
  -3/32, 1/256, 20165/864, -1, -39007/864, 9421/432, -73235/1728, 70589/1728, 
  32905/1728, -961/64, -2687/128, -973/128, 1171/128, 7277/384, -1217/128, 
  -1037/64, -7277/384, 3047/128, -2343/256, -2319/256, -941/96, 2551/256, 
  49/32, -33061/768, -19921/576, 56071/768, -5/2, -10315/128, 296125/2304, 
  -119971/768, 12797/256, 2711/1152, 313519/6912, -111425/1152, 340865/6912, 
  103991/1728, 264127/1536, 900397/6912, -529007/6912, 209801/1152, 
  11417/1152, 5/3, -121951/1536, -365627/6912, -18379/3456, 25235/288, 
  -438613/2304, -2395/288, 79081/864, 38269/3456, -251569/3456, -19597/256, 
  -223033/768, -53765/576, 70553/768, 35253/64, 28091/576, -219683/768, 
  33145/256, 322873/768, 9203/144, -365267/768, -20643/128, -166049/128, 
  -15526817/4608, -4999/96, 6444817/2304, 754877/144, -128285/128, 
  9473141/4608, 81887/384, -3261115/576, 9145/48, 7077811/2304, 
  -3441001/1536, -17687167/2304, -11429813/4608, 268679/1152, 4879/64, 
  30207/512, 136975/1536, -58011/128, -312863/768, -27809/432, 210247/4608, 
  52553/768, 8913661/20736, -3856723/41472, -122441/384, -43731/256, 
  48701/576, 123865/1152, 3731/96, -8351/192, 7091/256, 9433/192, 
  185189/1728, -1453/64, 931/108, -72115/1152, -161261/2304, -14803/432, -3, 
  -73469/10368, 763379/20736, -1249/32, 5321/96, -1/8, 576265/6912, 
  -500663/6912, -11021/864, -289279/864, 101711/1728, -37247/144, -67489/288, 
  -222865/576, -164249/576, 269519/576, -18431/1152, -727/192, 13259/1152, 
  -1/2, 18187/1152, 4267/384, -29245/2304, -21/4, -7291/1152, 107/8, 
  -347/128, -5251/288, -1369/512, -2713/36, -81391/2304, -16313/864, 
  43753/576, 137767/3456, 1417/192, 58009/768, -5503/1728, -87401/3456, 
  18311/6912, -49405/1536, 137675/6912, 19933/216, 353771/13824, 
  -206867/6912, -41/96, -15917/2304, 333601/6912, -729/64, -88451/1728, 
  2657/192, -35041/2304, 135749/3456, -102805/3456, 359137/6912, 1298509/192, 
  -29/4, -16451/96, 41719/192, 3429/32, 57/16, -354495/256, -589785/256, 
  189/4, -243/16, -2615/64, -3/32, -107/16, -157/8, 843/4, -221955/64, 
  -4861/32, 2571/16, 102247/128, 70027/32, 885/64, 2807/64, 16, -6417/128, 
  39/32, 658175/256, 9021529/2304, -3309443/2304, -11512831/2304, 
  -1228859/1152, -31453/576, 188237/2304, -13295/576, -48337/1152, 3591/4, 
  3475/144, -103193/192, -1570595/2304, -62911/576, 359849/128, 
  -2584697/2304, 2028385/2304, -3504301/2304, -10395745/2304, -439567/64, 
  627091/384, 7650199/1152, -2498707/576, 3930451/1152, 9731/1152, 
  -6737387/2304, 1760237/4608, 8921/1152, -8879/288, -52067/1152, -16621/384, 
  -208541/256, -1216711/1152, -70589/768, 357817/1536, -16709/288, 21395/192, 
  -77905/768, -1093723/4608, -100351/384, 108445/384, -84389/768, 143827/288, 
  52699/1536, 21961/96, -7029/64, 12539/2304, -385133/1536, 1254307/4608, 
  409535/96, 2089523/576, 127987/576, 108823/144, -73729/768, 127657/128, 
  -91699/768, 30791/2304, 1288781/1152, 2484965/2304, 628327/2304, 
  -5095705/2304, -6409151/4608, 682919/768, 94967/128, 424115/768, 
  -1809931/768, -981601/768, -28823/768, 930977/4608, 389039/1536, 
  -592661/2304, -2259/128, -3131/384, 21013/24, 2737/72, -15677/768, 
  101969/384, -32773/512, -189713/1536, -60281/128, -4, 60281/128, 60281/128, 
  -6412943/2304, -20768005/4608, -1021615/4608, 3951869/768, -2751/128, 
  -2539/12, -55777/768, 3439/128, 736153/384, -2059945/512, -294745/768, 
  1628381/576, 70045/384, -94281/32, 3808261/512, -1073519/256, 
  -133398539/4608, 209361/512, -5967247/1536, 1/8, 1/8, 15/8, 7/4, 7/4, 1/4, 
  1/8, -13/8, 13/8, 13/8, -3/2, 11/8, 13/8, 7/4, 7/4, 1/8, -13/8, 13/8, 13/4, 
  -7/2, 13/8, 3/8, 1/8, -1/8, 1/8, 1/8, 1/8, -3/2, -5/2, 4, 11/8, 4, 1/8, 
  31/16, -5/8, -9/16, 1/8, 3/8, -23/8, 23/8, 11/8, 9/8, 1/4, 71/16, -187/16, 
  -73/16, 39/16, -279/256, 65/128, 5/128, -1627/256, 1039/256, -1057/256, 
  305/256, -5803/512, 5193/512, -1/8, -1111/256, 6313/512, 1/8, 375/128, 
  -145/256, -47/64, 1639/512, -49/256, 423/128, -33/128, -4993/512, 2109/512, 
  2641/512, -4129/512, 1/8, 3/32, -279/128, 2823/256, -2265/256, 21/16, 
  -2439/256, -3/8, -1627/128, 2311/256, 1137/128, -1057/128, 13/64, -3/32, 
  -745/64, 3/32, 183/16, -11/8, 121/32, 147/64, -9/32, -73/16, 23/32, 19/16, 
  -279/256, -149/256, 219/256, -31/128, -7751/512, 589/256, 1061/256, 
  -11049/256, 461/32, -7747/256, 305/256, -3605/256, 16401/512, -9801/512, 
  -459/128, 1957/64, -8051/256, 401/256, -25/2, -3/16, -3535/256, 6233/256, 
  -6579/512, -1561/256, -3/128, 1051/128, -33203/512, 17785/512, 2593/128, 
  -26725/512, -797/512, -67/256, 5405/512, 67/256, -9, -279/128, 49/32, 
  2823/256, -117/32, -2265/256, 295/256, -2283/256, -3/16, -7081/512, 
  -505/512, 10417/512, 219/256, -1113/128, -97/16, -67/128, 11/128, 2379/256, 
  -32821/512, 4433/128, 679/32, -3345/64, -797/1024, -67/512, 6999/1024, 
  201/512, -7709/512, -67/256, 9, -279/256, 269/512, 67/1024, 5965/1024, 
  -81/16, -67/512, -4771/1024, 433/64, -39/512, 209/256, 85/1024, -1381/512, 
  583/1024, -89/256, -31/128, -353/1024, -7081/1024, -505/1024, 16701/1024, 
  181/128, -1183/128, -219/256, -39/256, -4771/1024, 9/512, 7977/512, 
  -23/512, -3383/256, 5493/1024, 67/1024, -11063/1024, -163/1024, 
  -40699/1024, 8217/128, -6555/256, 3709/512, -5769/512, 4423/1024, 
  -15055/256, 5633/128, 2649/256, -3345/128, -27/4, -27/4, -8, -7/4, -27/4, 
  -53/8, 27/4, 8, 8, -27/4, 51/16, -8, -7/4, -1/8, -1/8, -1/8, 1/8, -65/8, 
  -17/2, 85/8, -25/16, -13/8, -13/8, 13/8, 13/8, 13/8, -13/8, 6, -25/8, 
  -25/16, -7/4, -13/4, -1/8, -13/8, -13/4, 13/4, -13/8, 13/8, -23/8, 21/8, 
  -1/32, 7/4, 13/4, 1/8, 13/8, 13/4, -13/4, 13/8, -13/8, 6, -3/8, -177/16, 
  -175/16, -9/4, 11/4, 1/2, -105/8, -69/4, -23, -93/4, -31/8, -81/8, 385/32, 
  -37/4, -473/32, -35/4, -41/8, 23/8, 177/8, -13/4, -51/2, 199/8, -2, -1/8, 
  1/4, 139/16, -93/16, -139/16, -93/16, 3/8, 21/8, 133/16, -2, -17/64, -3/64, 
  -3/2, 21/16, 1/16, -11/8, -3/8, 17/8, 13/8, -3/2, -5, -9/2, -3/2, 17/8, 
  9/2, -5/8, -77/64, -3/16, -27/8, -11/4, 3/2, 25/4, 45/8, 41/8, 1/4, -45/8, 
  -7/4, 13/8, -13/8, -3, 1/32, -1/8, 39/32, 25/16, 141/64, 45/64, 5/8, 1/8, 
  -11/4, 5/8, -3/2, 1/32, 1/8, -85/64, -69/16, 37/32, 439/64, -541/32, 
  -1359/64, 139/8, 141/64, 33/16, -2, -21/4, 21/16, -3/16, 21/16, -93/32, 
  35/8, 1/16, 1/16, 1/16, -8, -83/24, 3565/64, -41/4, -371/24, 565/64, 91/32, 
  -195/16, 193/24, 23/12, 125/64, -91/64, -1, -217/64, -7/4, 5/8, 361/8, 
  289/16, -2749/32, -881/64, -23/32, 61/128, 89/128, -61/128, 3/128, 91/128, 
  -61/128, 1/32, 1/128, -27/16, 9/8, 23/32, -189/128, -21/16, 17/64, 27/64, 
  673/128, 21/16, -77/16, -91/128, 1093/128, 161/32, -49/128, 7/2, -3/2, 
  -39/8, -17/8, 17/8, 39/8, -5/8, 3/8, 1/4, -17/16, 3/16, -925/256, 187/32, 
  37/16, -925/256, -95/16, 107/64, 17/8, -403/64, -83/16, 19/8, 3/16, 
  -611/128, -925/256, 49/8, 123/16, -21/4, 107/64, 245/32, 17/8, -173/128, 
  -373/128, -111/32, 11/32, 111/32, 197/16, -29/64, -9/64, -2, -107/64, 
  147/64, -1/16, 95/64, 93/32, -175/128, -93/32, -15/128, -13/128, -2, 
  -21/128, 5/64, -1/8, 95/64, 13/8, 89/32, 3/2, 79/64, -323/128, -335/64, -1, 
  -43/16, 151/128, 101/32, 55/32, 7/64, -17/4, 3/2, 45/8, 5, 15/8, -45/8, 
  -27/8, -17/16, -169/64, -7/16, -109/256, -17/8, -167/64, -7/16, 145/16, 
  1163/128, -279/32, -29/8, 3/8, 267/32, -29/16, 2347/512, -3219/128, 
  1745/128, -1215/64, -651/128, -1331/512, 31/32, -17/8, -27/8, -1/8, -13/64, 
  -515/64, 145/16, 2675/256, 823/128, -567/512, 7/4, -279/32, -145/16, 3/8, 
  279/128, 49/8, -2823/256, 507/128, 2313/256, 527/64, -1449/128, -2165/128, 
  503/32, -159/32, -803/32, -7833/512, 3399/256, -279/256, -1219/256, 
  -1057/256, 5/4, 13/4, -65/32, -1303/128, 425/64, 41/64, -9/32, -3461/512, 
  13/64, 291/32, -65/32, -2675/256, -131/16, -41/512, -53/32, 425/64, 
  715/128, -9/32, -279/128, 2823/256, -2265/256, -9/32, 221/128, -3533/256, 
  127/16, 271/512, -2805/256, 143/64, 2623/128, -3/8, -9/4, -2937/128, 3/8, 
  -25/64, 143/64, 13/32, -29/16, -285/64, -143/64, -13/64, -39/32, 143/64, 
  745/64, 2347/128, -183/16, 13/64, 145/64, -9/4, -745/64, -2845/128, 183/16, 
  -31/32, -25/64, 249/64, 13/32, 13/64, -33/32, -745/64, 183/16, 1/4, -1/64, 
  -1849/128, -11/16, 39/32, 59/64, -2347/128, -103/32, -17/8, -91/32, 673/64, 
  101/6, -7/4, 111/64, -61/32, -8643/256, -13255/512, -4465/512, 57/32, 
  8281/256, 3733/256, 19/8, 1/2, -3, -41/4, -5223/256, 62707/2304, 155/192, 
  18325/384, 3633/512, 4389/512, 2627/512, 13/64, 337/64, -61/32, -2675/256, 
  -9595/256, -223/512, -13/64, -183/32, 57/32, 2675/256, 11967/256, -505/512, 
  -13/8, 19/8, -351/32, -3, 227/128, -3/16, 2527/256, 24025/256, 735/64, 
  1011/16, -2881/72, -17033/384, 2871/256, -3461/384, -10125/256, -24753/256, 
  11177/256, 279/256, -3381/512, 159/16, -2265/512, -65/128, 3, 189/512, 
  153/128, -5/128, 27/64, 953/128, -5565/512, 2311/512, -1169/256, 135/32, 
  -5/128, 671/64, -1057/256, -1039/256, 1057/256, -305/256, -1655/512, 
  205/128, 5803/512, 3885/256, -45/128, -5193/512, -4899/512, 3/2, 139/512, 
  19/512, -3409/256, -301/128, 4899/512, 17/256, 181/512, 173/64, -25/64, 
  25/256, -975/256, 23/32, -1225/512, 27/16, 221/256, 439/512, 913/512, 
  485/128, -507/512, 25/128, -91/128, 349/256, -149/512, -39/512, -249/512, 
  19/512, 201/512, 99/256, 181/512, -201/512, -25/64, 249/512, 141/128, 
  -303/512, -417/256, -583/512, -279/256, 2823/512, -2265/512, 41/128, 
  25/128, -279/256, 2823/512, -2265/512, -219/512, 3/256, 953/256, -1627/256, 
  2335/512, 2251/512, -1057/256, 305/256, 2051/512, -5803/512, -2051/512, 
  5193/512, -641/256, -3609/512, 331/64, 1841/256, -141/64, -9/8, 1737/512, 
  -13/512, -1563/256, 1599/256, 1599/256, -279/256, -2611/1024, 97/128, 
  1547/256, 7/128, -1737/128, -269/32, -4461/1024, -387/64, 5381/512, 411/64, 
  -6209/512, -6639/512, -4571/256, 719/256, -6887/256, -3791/256, -9847/1024, 
  10177/256, 11029/512, -10333/512, 79/128, 8683/512, -5047/512, 469/128, 
  -20251/512, -7307/256, 3081/512, -11591/512, 725/128, -5733/256, 
  -12557/512, -9847/1024, 1077/32, 3419/128, -2265/256, 2011/128, 8683/512, 
  -2841/256, 469/128, -11475/512, -13651/512, 313/256, -2271/128, 415/64, 
  -9/64, 5/8, -1/32, -107/256, -593/256, 1927/512, -553/128, -4689/512, 
  -7/16, 205/256, -825/256, -127/128, -2823/512, -215/128, 2777/512, -107/64, 
  2921/512, 1697/256, 1611/512, -983/256, -901/256, 1039/256, 2, -39/64, 
  21/64, 305/256, 2341/512, 695/512, -5803/512, -3697/256, -1335/512, 
  5193/512, 3837/512, -585/256, -1431/256, -595/256, 3745/256, 3343/512, 
  -3837/512, 47/64, 499/256, -251/64, 3/8, -163/64, 2497/512, 1353/512, 
  3453/512, 245/128, 3/2, 2515/256, 1387/512, -519/128, -7, -739/256, 
  483/512, 101/32, 1317/512, 49/64, 31/32, -31/32, -155/64, -595/256, 131/64, 
  51/128, 499/256, -69/64, 3/8, 261/256, -53/64, -1037/256, 337/256, 
  1639/256, 645/256, -797/128, 287/128, -393/256, 4, 1303/512, 621/512, 
  -183/512, -6537/512, 1203/512, 183/512, 20521/1024, -57/16, -10053/1024, 
  -1939/256, 1477/512, 797/512, 3777/256, -2727/512, -5373/512, -1595/128, 
  143/16, 15/16, -339/512, -3089/256, 119/64, 3011/128, 7/16, 1143/512, 
  7133/512, 57/16, -159/512, -17163/512, -1063/128, 3363/512, 29275/1024, 
  41/16, -8099/1024, 5053/512, 995/128, 155/64, -8487/256, -1945/128, 
  35859/1024, -9245/512, -2535/512, 647/64, 2509/512, 41461/512, 6885/1024, 
  -1109/128, -58961/512, -8503/1024, 25719/512, -7635/256, 11831/512, 
  2071/256, -5601/512, 94625/1024, 3905/256, -61661/1024, -30979/1024, 
  5649/256, -797/512, -67/256, 3101/256, 67/128, -10013/512, -67/256, 9, 
  -279/128, 269/256, 67/512, 5355/512, -8195/512, 31/128, 523/256, 8027/512, 
  -7067/1024, 209/128, 85/512, -343/128, -57/16, -8197/512, -31/64, 141/512, 
  -6523/512, -505/512, 671/32, 943/512, -4693/512, -219/256, -39/256, 
  -4485/512, 9/256, -187/256, -22585/1024, 5049/512, 67/512, -3807/256, 
  -39/512, -33267/512, 19831/256, -6555/256, 3197/256, -5763/1024, 2445/512, 
  -40271/512, 5633/128, 1203/128, -3345/128, -797/512, -67/256, 1703/128, 
  127/512, -97/128, -1977/64, -3919/512, 9801/512, -279/128, 269/256, 67/512, 
  4239/512, -5231/512, 1777/512, 3339/256, 375/16, -9801/512, 209/128, 
  85/512, -603/256, -733/256, -8081/512, -31/64, 77/512, -7081/512, -505/512, 
  4505/256, -185/512, 1689/128, -9801/512, -4771/512, 9/256, 3725/128, 
  -207/32, -3325/128, 5493/512, 67/512, -3737/512, -163/512, -40699/512, 
  33999/512, -1911/512, -5141/512, 3709/256, 963/128, 4423/512, -15055/128, 
  5197/128, 2649/128, -3345/64, 1407/512, 1743/512, 101/128, -13239/512, 
  -3803/128, 703/256, 49321/1024, 11123/256, -8915/512, -955/256, -2425/512, 
  2017/512, 15009/256, -339/512, -16125/512, -11217/128, 9643/512, -17/16, 
  557/512, -3335/256, -2517/256, 11787/256, 7/16, 4351/512, 5303/512, 
  4073/512, 7669/512, 10897/512, 57479/1536, -291/256, -41099/512, 
  -22269/256, 8463/256, 8337/512, 3283/512, -482653/4608, -32689/512, 
  1365905/9216, -38819/1536, -20127/512, 18079/192, 1053/512, 3283/32, 
  -22951/3072, -46121/512, 4073/384, 12085/256, -36895/1536, -795/256, 
  50609/768, 17737/512, 4005/16, -14847/128, -74241/1024, 39431/256, 
  797/1024, 67/512, -3101/512, -67/256, 10013/1024, 67/512, -9/2, 279/256, 
  -269/512, -67/1024, -4849/1024, 2611/512, -505/1024, -875/1024, -1925/256, 
  9/2, -209/256, -85/1024, 173/128, 9/128, 3783/512, 31/128, 433/1024, 
  7081/1024, 505/1024, -2405/256, -943/1024, -953/1024, 219/512, 9/2, 
  4771/1024, -9/512, -1709/128, 9/16, 8083/512, -5493/1024, -67/1024, 
  1675/256, 163/1024, 40699/1024, -32915/1024, 1061/128, -3709/512, 
  1051/1024, -4423/1024, 15055/256, -143/8, -2649/256, 3345/128, -797/1024, 
  -67/512, 5405/1024, 67/512, -9/2, -279/256, -123/64, 67/1024, 2823/512, 
  -157/512, -2265/512, 1695/512, -287/1024, -1531/256, 31/256, -7081/1024, 
  -505/1024, 10417/1024, 219/512, -1113/256, -19/64, 7/256, -733/512, 
  4663/1024, -32821/1024, 4445/256, 10549/1024, -3345/128, -5733/512, 
  -649/64, -6013/1024, 28685/1024, 6363/256, 6013/1024, -17141/1024, 
  -3767/256, -39/512, 421/256, 7191/512, -1533/256, -12763/1024, -145/128, 
  -459/256, -317/1024, -25127/1024, -5173/256, -4461/1024, 16251/512, 
  2967/128, -2187/256, -8599/512, 11345/1024, 10777/1024, -199/1024, 
  -12179/1024, -6639/512, -1061/512, -16097/1024, 719/256, -1913/1024, 
  -29/32, 339/512, 3241/256, 191/64, -339/512, -20189/1024, -133/64, 
  4569/512, 279/256, 2397/512, -1925/1024, -7559/1024, -11615/512, 3417/1024, 
  15581/1024, 5497/256, -4569/512, -353/256, 133/1024, 6479/512, -13/128, 
  -4965/256, -25/128, -2635/1024, -5965/1024, 621/512, -1061/512, 4771/1024, 
  -4995/512, 359/256, 39/512, 2023/256, -4247/1024, 245/64, -1331/1024, 
  2095/128, -6427/1024, -7951/512, 5251/1024, 477/512, 239/1024, -841/1024, 
  -31959/1024, 3335/1024, -215/128, 2333/128, -2487/512, 5453/512, 4589/1024, 
  45/8, -1651/1024, -3011/128, 1039/256, -2, -73/32, 21/64, -25/16, 5/8, 
  -27/4, -7/4, -45/8, -7/2, 29/16, 13/8, -45/16, -45/16, -47/16, -69/128, 
  1/4, -23/2, -1/4, -25/16, -25/8, 5/8, 5/4, -11/16, -83/8, -45/8, -177/32, 
  -185/288, -185/288, 55/8, 791/8, -83/8, -45/4, -1/4, -179/8, -33/4, -55/8, 
  5/8, -5/8, -25/8, -100, 139/48, 43/9, -1/4, -149/32, 291/32, -63/8, 477/64, 
  -95/64, -813/64, 135/32, 381/16, 287/32, -519/32, 927/64, 4925/128, 13/9, 
  -33/4, -3955/144, 3991/288, -1/4, 15/8, 46/9, 1/4, -13/2, -209/18, -1/4, 
  1/8, -39/16, -133/18, 13/8, -1/8, -2, 11/8, 31/16, -45/16, -55/16, 27/16, 
  -2, -3/32, -147/32, 7/8, -15/8, 1/8, 60, 13/32, 65/16, 29/32, 45/32, 
  -135/32, -175/32, 521/64, 91/64, 79/32, -7/16, 15/8, 27/32, -17/16, 205/96, 
  -9/4, 9/32, 43/16, -205/16, -9/8, 25/16, 33/8, 349/4, -3559/16, -2245/16, 
  -23, -17/4, -41/4, -37/8, -31/16, 199/288, 101/16, -43/16, -17/8, 
  -13247/1728, -14899/864, -39/16, 13/4, 13/16, 23983/1728, 4, 1/16, 37/8, 
  -163/32, -217/32, -5681/216, 6485/864, -1/8, 4337/1152, 1819/1152, 101/16, 
  7/8, -61/32, -103/32, -3763/576, 25/32, -2843/192, 1289/192, 353/288, 
  -2185/576, -791/48, 19/8, 6185/576, 5969/576, 157/288, 9/8, -59/16, -10/3, 
  -73/32, 1517/576, -83/108, -19/8, -33/16, 173/64, -9/64, -3/16, -455/8, 
  6199/16, 3745/16, 4135/16, -77/432, -13/128, 185/216, 185/216, -1099/432, 
  -29/8, 35/16, -11/16, -187/16, -379/64, 8923/576, -2149/192, 1657/192, 
  -45/16, -13429/576, 15/4, -369/64, -369/64, -697/128, -1495/128, -87/32, 
  -107/16, -2009/64, -357/64, 153/4, 4801/128, -2063/128, -357/64, 409/64, 
  625/128, -1975/128, 485/64, 1/4, -25/4, -85/32, 1195/64, 233/64, 71/32, 
  3/32, -13/64, -8/3, 1295/96, -1073/96, -685/96, 7/8, 2111/144, -3/2, 3/2, 
  175/72, 13/8, 13/8, 4391/48, 1667/64, 439/3, 257/128, -1817/64, 4521/128, 
  -2299/192, 9509/128, -1089305/3072, -242083/768, -67/32, 219577/768, 
  -1144561/3072, -319/32, -680975/1536, -8, 620371/1536, 504675/512, 55/4, 
  693/32, 219/32, -107/8, -28735/384, -91/64, -131/64, 91/64, 69/32, 
  -14305/1152, 4271/144, 281/24, -1043/48, 10451/288, -3239/96, -13771/288, 
  -6605/144, -4415/192, 5363/192, -135/32, 1841/72, 15/4, 2371/288, 
  -4009/144, -269/80, 14951/320, 41/3, -260671/2880, -29773/480, -659/24, 
  19381/576, -195/32, 29993/720, -859/64, 5/16, -13/8, 847/32, -2401/144, 
  -37/64, 1897/144, -2875/64, -937/72, -37/64, 2153/144, -2875/64, 1603/16, 
  7/4, 13/2, -453/32, -7/2, -191/24, 27/32, 455/96, 163/96, 1429/18, 5/32, 
  -1/4, 4, 25/64, -5/8, 5/16, 13/8, -25/8, -45/8, -65/32, -1/32, 17/8, 
  -93/64, -29/64, -4375/64, 2705/288, 1143/64, 491/288, 61/16, 50713/3456, 
  637/16, 2129/128, 67883/864, 1077/32, 29/32, -1377/128, -96005/3456, 
  -273/32, -50713/3456, -212179/3456, -212665/3456, 40871/3456, 74587/3456, 
  111/2, -2051/16, 9245/48, -292843/864, 29223/64, 6959/64, 77/8, 19141/864, 
  -3401/432, -3969/256, 8245/864, 161/16, -14563/864, 3221/256, 129439/6912, 
  -61/144, 4469/288, 326161/6912, 3959/288, -137275/2304, -42823/1728, 
  -101/72, -73/32, -1409/128, -187/64, -165/64, -51835/6912, 327/64, 
  3493/3456, -3565/432, -20257/6912, -7051/576, 19/32, 245/64, 1/8, 33/256, 
  -15/16, 1305/256, 31/16, 1295/128, 173/432, 897/128, -26339/6912, 
  -129283/3456, 1/4, 1/24, -611/64, 1663/128, 29/96, 7/48, -5/48, -1/16, 
  133/96, -11/32, -91/256, 213/32, 175/16, -869/128, 3229/128, -75/8, 
  1249/64, 171/128, -5619/128, 18493/288, -91/256, -1135/72, -81127/1152, 
  991/72, -7973/96, -869/128, 7931/96, 3229/128, 7159/128, -13283/576, 
  -88907/1152, -121/576, 91/576, 113/1728, -1321/1728, -241/1728, 48421/3456, 
  6019/1728, -691/144, -15961/3456, -241/1728, 8077/576, -2963/576, 857/288, 
  88405/3456, -685/576, 5495/864, 305/576, -3/16, -1595/1728, 3/16, -279/128, 
  2563/432, -4025/576, -65/12, -10721/1728, 15223/864, 27235/3456, 5737/576, 
  1/8, 1/8, -13/32, -333/16, 37669/192, -9837/64, 23793/64, -3531/128, 
  -66883/384, -569/32, -4291/64, -5465/48, -7099/96, 21137/192, 5973/256, 
  -645307/768, -55987/192, -101549/256, -389/432, -53/144, 1/16, -3/8, 
  739/288, 5/64, 647/864, 1285/1152, -2225/288, 13/432, -117/64, -53/32, 
  17/9, 1073/192, -10163/864, -9, 205/16, -15/4, 103/64, 88681/6912, 67/48, 
  34715/1728, -105/128, -194507/3456, 15385/1728, 303/32, 193573/3456, 
  -32461/864, -1817/384, -11771/288, -3987/64, 307/192, 49/8, -105/16, 
  93/128, 145/32, -311/64, 4475/32, -401/64, -9/32, 567/64, 5, -393/128, 
  51893/256, 95/64, -204589/512, -129/64, 101547/512, -26967/128, -167/32, 
  66213/512, 2077/256, -10517/256, 469/64, -45095/256, 9475/256, -939/128, 
  535/192, -1837/192, 3/4, -13627/64, -309/128, 69293/512, 2517/256, 
  -1071/16, 787/128, -1729/512, 8359/256, 3/128, -11/64, -5/64, -11/16, 
  55/64, 11/8, -27/64, -77/64, 23/512, -287/64, 2131/128, 3/4, -595/128, 
  531/128, -3533/128, -139/128, 3/64, -125/64, 61/32, 31/16, -3/64, -353/64, 
  385/1728, 4189/576, -140195/3456, -232081/6912, 59513/1728, 16795/1728, 
  -43259/1728, 25/16, -238475/3456, -232081/6912, 36637/1728, -4799/1728, 
  97151/1728, 16795/1728, -40193/1728, -43259/1728, -2149/192, 973/32, 
  413/192, -4181/192, -75179/2304, -1777/256, -341/144, -707/128, 5/64, 
  -487/64, 3343/576, 123/16, 1279/144, -1363/128, -27719/1152, 1547/128, 
  2737/128, -27913/1152, -8659/384, 29/36, 30631/1152, -23719/1728, 2155/576, 
  109/144, 311/64, -26099/1152, 2587/128, 2753/128, 495/64, -97613/3456, 
  -1/16, 63157/1152, 11197/288, -46, -441/2, -136183/384, 1253899/1536, 
  4657/128, -1760287/1536, 33931/768, 117493/384, -7638101/3072, 715033/2304, 
  3825443/3072, 3604813/3072, -10243/256, -2010595/3072, -1742491/3072, 
  -79897/9216, -5785/256, 1452161/3072, 382151/384, -345401/9216, 
  -454351/1024, 4656217/6144, 2461181/3072, -1681247/3072, -778295/1024, 
  -1096037/6144, -1181/32, -1722283/3072, 28519/576, 91/32, 2589/64, 
  356975/384, -15767/288, -363407/1024, 7311/128, 1548273/1024, -20413/576, 
  -4483013/3072, -206705/384, 91/384, 151/384, 101/48, -1/12, -677/384, 
  2041/96, 57/32, 661/192, -9557/384, -107/96, -1325/384, 883/384, 129/32, 
  -107/12, -59/192, 253/24, 55/64, -2785/96, 4407/32, 3, -22107/64, 3307/64, 
  -1019/256, -28873/1152, -29083/384, 8045/576, -1405/16, -3167/128, 
  63833/576, 13053/128, 79523/1024, -992251/9216, -26713/384, 229081/3072, 
  -25/4, 64945/576, -1019/256, -12121/1152, -142961/1152, 589/288, 
  -16021/192, -3167/128, 57709/576, 13053/128, 1160875/9216, 445579/4608, 
  -107509/576, -826339/4608, -15/4, -36487/3456, -146161/8640, 3/8, 1885/216, 
  872599/4320, 164141/8640, -569243/17280, -1708937/17280, 38573/1296, 
  3041/96, -12337/576, 57947/1728, 729419/8640, 1340059/17280, 85577/1728, 
  1699/64, 273/128, 152563/4320, -91/32, 198121/5760, 14549/1152, 
  4924751/51840, -11257/384, 152237/1728, -34409/864, -402731/1728, 
  -400937/4320, -43153/432, -5/72, -45/64, 1/12, -187/192, -5/48, -2759/384, 
  2135/256, 313/48, -8191/768, 8191/768, 8509/768, -2591/256, 295/64, 415/32, 
  -267/32, -453/32, 25/32, 925/256, -991/32, -1785/64, -879/64, 49/8, 
  5219/256, -23/4, -5539/256, -173/36, 809/128, -573/256, -2443/128, -341/64, 
  -1109/64, 1277/64, 2253/128, 143/16, -49621/6912, -37/256, -6431/576, 
  8921/3456, -245/288, -10083/256, -1197/256, -161879/3456, 2731/64, 25/16, 
  274217/6912, -37/256, -4949/576, -151405/3456, 2501/576, -14725/256, 
  -1197/256, 55231/3456, 2731/64, -4221/128, -1215/128, 6641/128, 299/8, 
  3543/128, -5/32, 5/32, 5/32, -25/64, 5/16, -55/32, -3/4, -49/64, -337/128, 
  5/8, 83/64, 337/128, -17/32, -289/128, -195/128, 157/32, 5/2, -31/128, 
  -17/24, 17/24, 1/2, 1, -17/24, -1, 5083/768, -4651/768, 39/32, -13/8, 
  -39/32, -1/8, -2035/144, 8383/576, 5/4, -109/128, 3787/768, -1823/1152, 
  231/128, -10165/2304, 159/64, 19201/2304, 5/4, -31/8, -631/64, -30073/2304, 
  401/64, -9181/768, 169/128, 807/128, 8755/768, -901/128, 7/32, -445/256, 
  831/256, 49/256, 12011/768, 128623/6912, 203543/13824, -25/24, 
  816043/13824, -25739/768, 6265/4608, 232271/13824, 4655/1728, 64979/3456, 
  -4403/1728, 17855/1728, 57319/13824, -68287/3456, -8525/768, -62179/768, 
  -100973/3456, 248539/3456, 54077/1152, 5/12, -31709/576, 232271/13824, 
  12467/1728, 49811/3456, -4403/1728, 830/27, 57319/13824, -53119/3456, 
  -8525/768, 50207/1536, -69295/768, -24413/864, 249031/3456, 24667/576, 
  701/128, 153/8, -65/32, 689/128, -2049/128, -1/16, -273/32, 1/16, -9/32, 
  -843/128, 213/64, 699/128, 2729/128, 855/64, -81/32, -111/32, -291/64, 
  167/64, -1043/256, -59231/3456, 2233/64, 149/64, 201629/3456, 3931/256, 
  -9133/3456, -4515/128, -80129/3456, 1491/128, 63571/6912, -174575/3456, 
  -102917/3456, 93379/6912, 165847/6912, 111/2, 528251/5184, -1783/48, 
  -551/16, -6081/128, -15697/256, 12463/512, -16099/64, -1837/32, 7087/64, 
  9195/32, 2721/32, 47393/96, 12677/96, -1353929/2592, -8641/24, 
  -1388209/3456, 57419/108, 3551/512, 11490367/10368, -2229179/2304, 
  -1773643/2592, 114641/1728, -116457/512, 6993/128, 15141/256, 279/256, 
  1145/256, 2973/512, -7/16, -3381/512, -4397/1536, 1931/512, 321/32, 
  1895/1536, -2313/512, -33/128, 1257/512, 1069/512, 1809/128, 70519/6912, 
  53/32, 1993/256, -429/128, -28099/1728, -27/64, -3017/512, -399007/13824, 
  -10649/864, 427/128, 536053/13824, 6161/512, 101507/6912, 241597/6912, 
  -122671/4608, -19411/2304, -15443/13824, 803/1728, -326173/13824, 
  -181007/13824, -55855/6912, -4975/2304, 19/128, 7/144, 4045/2304, -23/288, 
  -13/128, 445/144, 1261/384, 4475/768, 1925/1152, -32309/9216, -1413/512, 
  -1679/512, -30079/4608, 187/512, 279/256, -25439/4608, 20641/4608, 
  4913/2304, -27581/2304, -3653/1536, 39881/4608, -1559/192, 44683/9216, 
  2151/512, 5719/256, 455593/6912, 4747/512, -284495/4608, -936971/6912, 
  -3183/1024, 555149/9216, 240689/3456, -181999/9216, -25205/512, -20229/256, 
  1944383/13824, 9915/128, -481021/6912, 17019/256, -20447/256, 5925/1024, 
  225/256, 7745/512, -33461/512, 695849/13824, 16757/256, -21571/432, 
  -64435/4608, 395/64, 16885/1024, -305/256, 6395/512, -91/576, -19697/1024, 
  -113/1728, 8127/1024, -335/256, -971/512, -29071/13824, -9359/13824, 
  799/9216, -7411/1152, -23/32, 145387/13824, 179/128, -10709/768, 
  -47537/13824, 538997/13824, 18089/13824, -40243/1536, 40969/13824, 
  -887/576, 56323/13824, 11533/6912, -84133/9216, -25/8, 525011/27648, 
  266737/27648, 167/54, -1/8, 1/8, 89/32, 1/16, 5207/10368, -359/256, 37/128, 
  163/128, -2671/256, 2435/256, -365/32, -333/32, 33085/384, -18537/128, 
  79/4, 12717/64, 5561/1152, 49319/128, -154337/384, -142759/2304, 
  235711/1536, 29/2, -9805/48, 709/128, -77737/192, -99055/768, 1028539/2304, 
  -1877/192, 11707/128, 137669/384, 7397/96, 5441/96, 1697/1536, -957/16, 
  -3439889/4608, -21119/256, 322235/384, -110443/384, 59139/512, 
  3779981/4608, 128993/384, -104039/1536, 1241/16, 137979/512, 525047/1536, 
  36797/256, -279/256, 3381/512, -159/16, 2265/512, 17/32, 25/384, 13/256, 
  -3493/512, 5565/512, -83/216, -259/64, 1613/384, -17/96, -3219/512, 
  63979/4608, 243/256, 13/128, 12007/4608, -191/512, -1497/256, -14185/4608, 
  3021/1024, 1191/512, 701/256, 3479/2304, -451/512, -279/256, 2823/512, 
  -2265/512, -3493/512, 131/32, -3219/512, -5399/256, -588091/13824, 
  -6817/1152, 68129/1536, 272921/3456, 21203/9216, -87295/3072, 
  -272501/13824, 11389/3072, 253633/13824, 196607/5184, -664475/13824, 
  -705821/20736, 338179/13824, -187159/13824, 201077/20736, -4461/1024, 
  11477/512, 260659/9216, 57751/4608, 840613/13824, 251017/20736, -6639/512, 
  -5077/1024, -11689/768, 415/128, 305/256, 25153/512, -107/64, -6427/512, 
  -153071/1536, 107/64, 19825/1024, 21419/384, -8959/1024, 7/32, 9089/512, 
  207/128, 68801/512, -7581/512, -28353/512, 23/64, -33/32, 799/128, 
  -181/256, -5031/128, -3887/512, -215/128, 6183/64, 359/512, 13821/1024, 
  22107/512, 2363/512, 30067/512, 1781/256, 27027/1024, 1065/256, 
  -19835/1024, -5663/1024, 977/512, -45/512, -45/512, -305/256, 2069/4608, 
  97/128, 5803/512, 32113/4608, -5513/512, 305/256, -2963/1152, -563/256, 
  -5803/512, -35039/4608, 5513/512, 1189/512, 1025/512, 1463/2304, -287/512, 
  305/256, -5803/512, 5513/512, 8785/4608, -1621/256, 165/512, -2069/4608, 
  -31897/4608, 81/512, -97/128, -2839/128, -605245/13824, -464389/82944, 
  21979/512, 1116025/13824, 474989/41472, -271061/13824, -7441/288, 
  4979/3456, 236083/13824, 175915/5184, -984889/13824, 448171/20736, 247/9, 
  -187483/13824, 890693/41472, -175685/82944, -301529/10368, -199091/4608, 
  11419/432, -176821/5184, -395705/41472, 1515691/41472, 2550005/41472, 
  -385813/41472, -47759/2592, 305/256, -551/512, -415/128, -1513/512, 
  -5803/512, -547/128, -223709/6912, 5193/512, 2785/512, -7/64, -5251/512, 
  -1563/512, 45/8, 95705/1728, -2785/512, -185/128, 2005/256, -5837/256, 
  -467/256, 1587/256, 79/64, -337/128, -8323/512, 336115/13824, 329/64, 
  1387/512, 933/512, -57065/1536, -3581/512, 731/64, 125/32, -21553/768, 
  -5/32, 917/128, 13/128, -6213/512, -818167/2048, -2605/512, -899/256, 
  21607/768, 1630207/3072, -6857/1024, -125611/1536, 809/512, -331/128, 
  1408079/6144, 11449/512, -318035/4608, -9403253/9216, 122929/1536, 
  -7637/768, 925/128, 1110359/2304, -47/2, 18353/512, 8300363/6144, 
  1288381/1536, -18677/256, -5984833/3072, 653155/9216, -563063/1536, 
  -10416271/6144, 6415027/4608, 3934585/6144, -1698941/1536, -7757635/3072, 
  8621783/4608, 4636231/2048, 55045/48, 305/256, 2127/512, -581/256, 
  -50035/4608, -7425/256, 7127/9216, -13/128, -6973/1536, 6043/1536, 257/48, 
  26413/768, 17875/9216, -953/512, 97/192, -1507/1536, -1581/512, -331/256, 
  -10459/2304, 799/256, 71239/4608, 308375/4608, 2737/768, 58313/4608, 
  -26785/3072, -25699/1536, 10017/512, 5677/256, 314147/3456, 9477/512, 
  -230891/4608, -358903/1728, -391/128, 97417/3072, 38599/384, -4967/576, 
  -25717/512, -1425/16, 1061935/6912, 16723/256, -113419/1152, 16023/256, 
  -25069/256, 10813/512, -158281/512, -1077629/9216, 41077/512, 21605/128, 
  -79059/256, 41405/512, 47833/512, 87331/512, -23439/1024, -305/128, 
  1035/128, 5361/256, 7717/192, -2039/512, -28442161/414720, 91/64, 
  -1593/320, -1965/128, -1107311/103680, -1892363/13824, -698977/9216, 
  35663/1920, -2391/128, 194417/7680, 2077/64, 127765/2304, -1137/256, 
  -36644269/207360, -67325/864, 8269/24, -9973637/69120, -8921/768, 
  54694273/207360, 335425/3456, -387503/13824, 9027/1024, 30427/432, 
  1474207/27648, -361/64, -11567/1536, -1459/768, 1529/384, 2819/384, 275/32, 
  -1529/384, -5141/768, 9/4, 11495/1536, -6407/1536, -11111/1536, -73/16, 
  -3/64, 1471/768, 37/16, 5733/512, 2453/256, 6649/1024, -147/8, 
  -411485/13824, -1057/512, 38021/4608, 143791/6912, -2285/1152, -1113/512, 
  -7021/512, 7787/256, 10969/512, -52525/6912, 417/256, -9801/256, 12451/512, 
  4921/256, 4461/1024, -1225/512, -2613/512, -100129/4608, 2093/128, 
  -5035/512, -8273/256, -29/256, 5889/512, 6639/512, -7177/512, 499/32, 
  -719/256, 23/768, -333/512, -97/192, 333/512, 365/768, -257/512, 1147/768, 
  1163/512, 255/512, 5/16, -365/768, 149/256, -521/256, -493/512, -121/512, 
  -1573/1536, 305/512, 215/128, 1387/512, 137/32, -4705/1536, -3427/512, 
  -1499/256, 3019/768, -1867/512, -1039/256, -55/32, 1699/512, -21/64, 
  -5733/512, -3623/512, -4461/1024, 465/32, 3623/512, -2265/512, 1747/512, 
  537/64, -717/128, 429/256, -8025/512, -6639/512, 1003/512, -6121/512, 
  719/256, 8077/1152, -8365/1152, -5/8, -34027/2304, 141/256, 24359/1536, 
  5/4, 299/512, -1787/512, -52577/4608, 873/512, -29401/2304, -27/32, 
  54185/4608, 5/4, 4715/1536, 251/24, -35447/4608, -9563/1536, 397/256, 
  -453/128, 2, -12551/1536, -477187/6912, 81061/27648, 703/48, 623641/6912, 
  -125729/13824, -139795/13824, -24409/1152, 4403/1728, 416503/13824, 
  832217/13824, -131041/2304, -139291/6912, 76535/3456, -625679/13824, 
  268171/13824, -912529/13824, 167017/6912, -99079/2304, 281299/6912, 
  56935/1728, -78115/13824, 320917/13824, -475961/13824, -394099/13824, 
  223369/6912, -169/16, -27961/576, 17/1536, 1035/64, -43/9, -2, 23/4, 
  -185/288, -21/2, 7/16, -63/32, -39/8, -1823/72, 12345/8, 369/16, -49/2, 
  -599/16, 3395/144, -250/9, 85/64, 293/64, -121/16, 41/8, -113/36, 35/2, -1, 
  25/4, -1/2, -99/8, -4, -107/12, -185/144, -13/36, 5/2, -127/48, 9/2, 47/16, 
  9/4, -23/4, -15/4, 43/9, -47/24, -151589/144, -189/16, 125/4, 1021/32, 
  -2621/144, 1007/36, -821/18, 31297/288, -707/72, 10, 19/48, -77/48, -27/2, 
  43/6, -161/8, -169/9, -9/8, -437/16, 391/8, -21/16, -25/16, -251/36, 46/9, 
  11/4, -33/16, 4279/288, 45/8, 153/64, 645/16, -1237/64, -1117/576, 3/64, 
  25159/576, 14/3, 5/4, -4963/144, -5, 33/8, -11/2, -1/8, 61/16, 101/24, 
  -277/32, -49/9, 11/32, -5/32, -46/9, -105/32, -225/64, 107/16, -2547/32, 
  -4989/32, 2533/64, 673/64, 251/64, 23/32, 11/32, -23/32, 101/32, -347/32, 
  -607/64, 311/16, 23179/288, -53627/432, -1427/288, 204275/1728, 38785/6912, 
  581843/6912, 55249/6912, 426475/6912, 6671/96, -33653/1152, 218917/6912, 
  -47885/2304, 3912713/3072, 98139/512, -64065007/27648, -534401/768, 
  54240445/13824, 40488769/13824, -8412031/6912, 20248159/13824, 687/16, 
  -54491/432, -83/64, -12383/864, 1487/32, 7627/96, 919/6, 977/16, -5425/288, 
  -3299/32, -65117/576, -110935/1728, -11/16, -17/4, 11/16, 17/4, 1/4, 9/16, 
  73859/216, 4059/64, -140369/3456, 456547/256, -12798913/6912, 93055/1152, 
  -623/216, -2785819/2304, -169/64, 7016645/6912, 8526833/6912, 
  -2485087/1728, 698429/2304, -323/64, -131383/768, 8463209/6912, 
  -2400763/1728, -185/192, 185/96, 45/8, -185/96, 3053/864, 55/108, -79/96, 
  -2093/288, 65/72, 89/54, -1901/432, -16325/1728, -489/32, 2705/864, 
  9785/384, 7/4, 605/108, 2159/96, 31253/1152, -40043/1152, -27/64, 53/8, 
  -43/32, -211/64, 15/16, -205/16, -1851/32, 6023/288, 235/64, 533/54, 35/4, 
  617/32, -118951/144, 99235/512, -1528939/6912, 8999/64, -1337/432, 
  -79969/1728, -911041/1728, 4775/216, -1455253/1536, -390311/768, 81233/108, 
  -7944043/13824, -369/16, 525/4, 723/4, 70663/192, 91/64, -3477/16, 
  -4699/12, -2503/32, -901/96, -15935/48, -67, -7249/576, -12408491/4608, 
  36119/288, 13498235/4608, 16222169/34560, -8636777/17280, -22732661/23040, 
  -170703/1280, -5479829/3840, -14182793/17280, 45061271/34560, 
  17608391/11520, -799/72, -11/64, -1123/108, -119/64, -4325/288, -1987/72, 
  1055/128, 46753/3456, 343/128, -8893/1152, 72917/576, 142/9, -14/27, 
  -16297/1728, -207/64, -633/128, -201/32, 697/128, -1/32, -29857/192, 
  -1415/32, -129077/768, 14393/192, -1547/64, 133193/1536, -27361/256, 
  3359/256, -230/3, -191/16, -135521/1536, -193/768, 111563/768, 83/32, 
  -671/128, -453/128, -341/144, -287/64, -65/8, -855/64, 243/64, -22423/576, 
  -6097/576, 2333/288, 44837/1152, -6683/256, -85135/2304, 46907/576, 
  -94633/1152, -46907/576, -47449/576, 95717/1152, 47449/576, 1/8, -1/8, 
  -1/8, -38791/576, -471019/13824, 224341/13824, 1, -2755/72, 1627/27, 
  25349/6912, -60671/3456, 5/4, 76381/6912, -446861/6912, -15/128, 
  -18833/576, -206641/6912, 35/3, -115/9, 207/16, 147/16, -379/16, -175/72, 
  3545/288, -217/36, -155/12, -521/16, -5320061/1152, -55/32, 677/64, 
  -677/128, -2359/384, 29/8, 13/32, 735/32, 1561151/576, 405/16, 539315/72, 
  8121511/9216, 325885/768, 54637/1152, -11430673/2304, 17131847/9216, 
  6463067/3072, 7412627/2304, 969613/1536, -9618125/4608, 31906417/9216, 
  514661/576, 7411189/2304, -3289801/4608, -9730561/4608, -19575809/2304, 
  -2849/144, 4589/144, 4843/128, 30763/576, 249/64, -60221/4608, 89249/1536, 
  -77477/360, -3999919/23040, -83419/2304, 21253/576, -881/80, 17005/576, 
  1961/160, -46127/1280, 1195/96, -51/32, -20371/576, 345475/1728, 6829/1728, 
  -494273/1728, 15/64, -23/64, 21/32, -1/4, -7/16, -237/128, 43/32, 941/32, 
  10105/384, 463/128, -4595/192, -10021/384, 1073/144, -1221/128, -4243/288, 
  -13273/384, -6501/256, -207253/6912, -1147/128, -5865/128, -131867/3456, 
  -30665/1728, -122015/2304, 120095/3456, 96293/2304, 39151/6912, 
  -399803/6912, -2525/1728, 4243/6912, 79711/3456, 77/18, 1211/64, 87769/864, 
  -1/48, -2017/256, -1655/128, -135067/3456, 2273/256, -77/18, -133387/1728, 
  -89527/864, -1301/6912, 50993/864, 339/256, 1765/192, -655/27, 215549/6912, 
  -104407/384, 762511/6912, 1297/256, 130019/3456, 290197/768, 167/64, 
  -15365/432, 857641/3456, 1169273/13824, -282817/768, -2681095/13824, 
  4235/512, -724595/41472, -3911/576, 16473/512, 1780723/20736, -53401/6912, 
  52339/1296, -127747/13824, 101629/4608, 523543/13824, 422759/41472, 
  41581/13824, 115015/13824, 720503/13824, -20023/2304, -2406997/3456, 
  128528899/27648, 79152913/27648, 42909085/13824, -125969719/27648, 
  -43792561/13824, -6414017/3072, -79932227/13824, 22570355/9216, 
  35660287/13824, -35179135/55296, 26118155/13824, 4647109/1728, 
  -51129977/27648, -29335891/6144, 111/4, -1/12, 15/128, -80801/864, 
  39191/1296, 327799/1728, -71087/1728, 5200/27, 4493/192, -14249/192, 
  -67129/192, -41575/96, -241907/576, -148561/576, 8137/576, 1403173/4320, 
  -317321/17280, 572969/17280, -11900209/51840, -7376189/51840, -731/576, 
  -693023/17280, -10112531/51840, -2321815/10368, -253/144, 3, 1/8, 4609/432, 
  -1/16, -1715/128, -1023/512, -30251/864, 9413/6144, 953/1152, -64513/6912, 
  -10133/864, 109555/6912, -87281/6912, 350483/768, 9851525/13824, 
  -587801/2304, -2032999/4608, 34097/2304, -1918937/3456, -19419/256, 
  137185/576, 4215/32, -17040967/27648, 186475/3456, 9628399/27648, 
  79351/2304, -186409/432, -2017/512, 392131/13824, 779/288, 923/24, 
  -371035/13824, -479821/13824, 9115/512, -80179/4608, -575429/13824, 
  -19997/2304, -200695/13824, 11477/768, 295069/13824, 399683/13824, 
  10889/1728, 1787/288, -1/24, -3437/1152, 1/24, 15049/2304, -13099/6912, 
  29447/6912, -54115/1728, 959/288, 49/64, 12739/288, -47665/4608, 
  -21461/1728, 19255/512, -194587/13824, -75989/13824, 123811/13824, 73/864, 
  113/288, -113/288, -133/432, -5/8, 1067/64, 1057/3456, -117/32, -11/16, 
  -83/8, 88339/1728, 7/8, -211675/3456, 11/16, -538381/2304, -333/16, 
  -11069/256, 265021/1536, 146785/1024, 49/16, -7511/128, 5360911/41472, 
  -16493/3456, 549271/2304, 2333/128, -3487619/13824, 71149/1152, -3967/256, 
  -1587757/3072, -13271141/27648, -5614591/13824, 1106803/1536, 
  11501081/13824, 84907/256, 29191471/27648, 596401/768, -17994367/13824, 
  -11835425/13824, 1157989/6912, 9261571/9216, -2096335/13824, 
  13801595/82944, 39687367/27648, -333/32, 247391/864, -1791/64, 71411/384, 
  -617459/3456, -22761/256, -17379/128, -119635/384, -1430945/6912, 
  43751/384, -64525/432, -146175/512, -243277/1536, 988039/4608, 173921/1536, 
  -8557/128, -236117/1152, 13189/384, -7032095/9216, 24669391/9216, 
  325907/128, 167843/864, 825241/1728, 3349843/9216, 52769/192, 
  16160795/13824, -2917207/1536, -10525633/4608, 943415/27648, 1348831/1536, 
  -4133483/11520, -370033/512, -11309/32, 2556451/7680, 3734503/7680, 
  191761/4320, 83066321/69120, 8090209/7680, -40838791/41472, 
  -131420089/207360, 115084631/138240, 65719/3456, -11332391/17280, 
  -142854197/138240, 489691/13824, 3725/1296, -6125/648, -97/72, -471/256, 
  1279/288, -89/768, -36335/864, -12533/576, 25813/1728, -31749/512, 
  -3167/13824, 125125/1024, -45541/13824, -59131/1024, 18397/512, -1139/512, 
  -2594953/27648, 2733/128, 266467/6912, -2027/3456, -336325/6912, 
  -299839/6912, -937/384, -34101/256, -313/16, -36565/256, 2419/192, 
  1175/1536, 202207/1536, 19633/1536, 98741/768, 9197/512, 271049/1536, 
  -27227/3072, -5259/1024, -104195/1024, -1929661/13824, 3341/144, 
  4824251/27648, 1920805/13824, -901813/13824, -806327/27648, 4171/288, 
  -397273/9216, -137477/2304, -2793799/13824, -1657/9, 821999/27648, 
  -504971/9216, 799/1024, 117/512, -9/64, 117/512, -7379/1728, 5/36, 
  12211/1728, -91/128, -151/54, 16421/3456, -11327/3456, -1663/3456, 839/128, 
  3295/256, 2017/256, -1445/256, -23297/2304, 185/128, -13/256, 23297/2304, 
  -501/64, 4971/512, 4291/512, 2573/576, -5003/512, -15/64, -13097/1152, 
  117707/6912, -175459/4608, -3/4, -8099/1536, -388913/6912, 488195/4608, 
  17465/768, -26173/13824, -252329/13824, 547807/13824, -140921/13824, 
  -37709/1536, -151915/1024, -1239809/13824, 588853/13824, -191849/3456, 
  235721/6912, 397/1728, -1181261/27648, 377221/13824, -73223/2304, 
  -34801/1728, 34579/512, -40307/2304, -119855/3456, 124457/2304, 47921/2304, 
  -8347/1536, -210433/768, -1/4, 62751/512, 575/384, 3219/512, 522203/1024, 
  -178253/1536, -767477/3072, 23737/1536, 4884115/6144, -159229/1536, 
  -15048691/18432, -1019661/2048, 1064131/768, 166570087/55296, 43/32, 
  -16179673/4608, -23354251/3456, 8579905/4608, -25814873/18432, -7811/256, 
  63366727/13824, -13373/128, -32613965/18432, 1832463/2048, 13102189/1536, 
  -9612205/6144, 42310393/18432, -2529/256, 7549817/18432, 2408813/6144, 
  960097/2560, 24891803/46080, 4226801/17280, -11838623/30720, -574057/768, 
  -17689963/46080, 326682877/829440, -498349/1536, -19300459/27648, 
  58067/34560, 19620943/34560, -37525/1728, 295/144, 228811/6912, 
  -507475/13824, -11483/384, -155347/1728, 12955/864, -889/3456, 42709/2304, 
  1074041/13824, 74233/3456, 91/384, -15/4, 1104481/34560, -356609/25920, 
  46723/3456, 52441/5760, 15805/1728, -1483679/13824, 919493/4608, 
  -42149/3456, -25325/864, -7616489/34560, 218351/3456, 351739/2304, 
  630881/1728, 2002805/6912, -17443/576, 125423/6912, -3/128, -1/24, 
  -124541/6912, -55/96, -81607/6912, -5701/1152, 237049/13824, 15875/2304, 
  101057/13824, 15/128, 69/32, -25021/13824, -3065/2048, 240715/3456, 
  118915/4608, -152599/13824, -11459/144, -99931/3456, 12305/864, 
  -270703/4608, 12127/3456, 124477/1728, -75203/4608, 1137973/27648, 
  -356009/4608, -141271/6912, -721379/27648, -365/64, 1055/288, -77473/4608, 
  6035/384, 4033/432, 84715/2304, -31661/3456, 839/1536, 133637/6912, 
  -293/16, 79445/13824, -2711447/288, -21/4, -19651/128, -456433/1152, 
  -18021/128, 335/64, 3546391/3072, 31823659/9216, 1037/32, 159/16, 
  10139/128, -1053/64, 91/32, 587/32, -20269/96, 4683311/1152, 4141/32, 
  221879/288, -3912713/1920, -1221879/640, -8731/384, 36643/1152, 110/9, 
  246003/1280, 963/32, -30518009/6912, -19018997/3456, 16079879/6912, 
  48382547/6912, 1072957/1152, -50533/864, -248405/6912, -8929/432, 
  -16337/3456, -1324237/2304, -10387/576, 2045983/3456, 2858237/6912, 
  -209713/1728, -1591673/1536, 42381193/27648, -13644247/9216, 4253701/1728, 
  68479897/13824, 156814403/27648, -9511817/3072, -269047153/13824, 
  1877015/384, -16471171/4320, -10701811/34560, 97336799/27648, 
  -32444093/27648, 111379/6912, 12137/3456, 200695/6912, -162407/6912, 
  5161559/6912, 1559245/1728, -2180195/6912, -2563927/9216, 993791/6912, 
  -195883/864, 1741075/4608, 8733337/27648, 65935/384, -165151/864, 
  96547/1536, -515507/1728, -1326517/27648, -433765/1152, 5533/32, 
  -1916659/13824, 1342411/9216, 122088587/55296, -4744621/3072, 
  -70349063/13824, 312114307/27648, -152617889/55296, 613945/3072, 
  -8201783/15360, -834737/27648, 6420343/27648, -7014209/3456, 
  -58253047/27648, 1445605/27648, 5982679/3456, 21728387/9216, 245071/7680, 
  -9693197/7680, -9998479/23040, 16213117/23040, 54594289/23040, 
  -15281989/27648, -20689919/55296, -4105871/9216, -88421/576, 2629/256, 
  40009/2304, -94057/96, -5033/48, 76619/1536, -160231/768, 40097/2048, 
  1076041/18432, 1858705/3456, -27/8, -917999/1728, -1858705/3456, 
  56952137/13824, 412737257/55296, -3755449/9216, -18292099/3072, 
  -137567/3840, -1575581/8640, 484681/13824, -6683827/11520, 
  -144381601/46080, 95965981/23040, 55150529/13824, -720114709/276480, 
  -14069/768, 21796985/4608, -1397473619/92160, 11120833/1536, 
  2750744473/55296, -25525603/10240, 1073216647/92160, -1/4, -1/4, -1/4, 
  -3/8, -3/8, -1/8, 3/8, 1/4, -1/4, -1/4, 1/4, 1/4, -1/4, -1/4, -1/4, -1/2, 
  -5/16, -1/4, 3/16, 1/8, -1/8, 1/4, -1/4, -1/2, 7/8, -1/4, -3/8, -1/4, 
  -169/128, -3/8, -265/128, -1/8, 1/16, 1/4, -2, -307/256, -25/16, -51/128, 
  29/256, -1/4, 249/128, 161/128, 37/16, 153/64, -27/64, -245/64, -47/128, 
  -307/256, 249/128, 323/128, -305/128, -339/256, -13/8, -307/128, -99/128, 
  -1/4, 249/64, 209/128, 9/8, 67/16, 277/128, -563/128, -309/128, -157/512, 
  45/64, -21/256, 245/512, 639/512, 159/512, 221/256, -353/256, -307/256, 
  -25/16, 23/128, 179/256, 43/128, 305/128, 137/256, -303/256, 785/256, 
  137/64, -65/32, -811/256, -15/128, -307/256, 143/64, -265/256, 307/128, 
  -143/64, -307/256, 373/256, -243/256, -65/128, 11/32, -597/256, -471/256, 
  25/32, -543/512, 119/512, 3/256, -55/32, -23/32, 1173/512, -203/128, 
  947/512, 561/512, 3/16, -499/512, 403/512, -9/32, -205/256, -205/256, 
  19/32, -69/256, 3/512, 65/128, 15/16, -833/512, 5/128, 93/256, 15/32, 
  -99/128, 427/256, 39/256, 253/256, -649/512, -307/128, 157/512, 35/512, 
  -663/512, 109/128, 591/128, -201/512, -71/32, 159/128, 2343/512, 131/512, 
  -2723/512, -37/16, -157/512, 155/512, -19/128, 79/256, -7/1024, 499/128, 
  -71/256, 1867/512, 1161/256, 1533/512, 301/256, -1245/512, 517/512, 63/256, 
  -453/256, -33/128, 1193/512, -95/256, 61/32, 85/128, 441/512, -1805/512, 
  983/512, 103/32, -117/64, -35/64, 3327/512, -1105/256, 1603/256, 2799/512, 
  -253/512, -19/256, -1/32, 19/256, 269/512, -253/256, -15/32, 75/256, 27/32, 
  65/128, 87/256, 83/256, 85/128, 35/256, 359/512, -1537/512, -71/512, 
  1057/512, 965/256, -19/128, -1523/512, -71/256, 2605/512, 3/32, -2079/512, 
  1697/256, 675/128, -349/1024, -19/512, 1181/1024, 57/512, -275/256, 
  -19/256, 67/256, -205/512, 1/512, 19/1024, -9/32, 171/512, -19/512, 
  1495/1024, -595/1024, -797/1024, -17/256, 5/1024, 71/256, -221/1024, 
  35/1024, 79/256, -81/1024, 83/512, 55/1024, -2551/1024, -23/128, 3979/1024, 
  37/256, -797/512, 1233/1024, -47/512, -3311/1024, 169/1024, 1107/512, 
  -271/1024, 19/1024, 491/512, 321/1024, 1363/512, -6521/1024, 1683/512, 
  2707/512, -4583/1024, -237/1024, 2837/512, -1215/256, 1683/512, 687/256, 
  -33/8, 33/8, 1/16, 513/8, 1/16, 159/8, -359/8, -3/8, -3/8, -3/8, 51/4, 
  21/8, 5/4, 5/4, 6, -53/8, 19/2, -1, 3/8, 3/8, 3/8, 51/4, 33/4, 21/8, 5/4, 
  5/4, -6, 53/8, -19/2, -19/2, -1/8, 189/8, -1385/8, 17/8, 125/8, 5/4, 
  -141/4, 1231/8, -19/8, -5/2, 5/4, 5/4, -31/8, 75/8, 5/4, 19/2, -1, 71/4, 
  31/2, -183/4, 25/32, -25/32, -25/32, -25/32, 25/32, 25/32, 25/32, 75/32, 
  -25/32, -25/32, 1/4, 1/4, -1/4, 1/2, -1/2, -1/4, -1/4, 1/4, 369/64, 
  -207/32, 13/8, -7/8, 5/4, -759/64, 545/64, 639/64, -47/8, -3/2, -615/64, 
  -87/32, -1/4, 39/64, -21/16, 1/4, -1/8, -55/32, 1/8, 25/32, -25/32, -25/16, 
  113/32, -25/32, -39/16, 33/64, -57/64, -33/64, 33/64, -99/16, -51/32, 
  -33/64, 3/8, 3/8, 231/64, 171/64, 87/64, 45/16, 47/32, 1/4, -39/64, 41/16, 
  -1/4, 1/8, 15/32, -1/8, -25/32, 25/32, 25/16, -113/32, 25/32, 39/16, 
  193/64, 23/32, -561/32, 683/8, -193/64, -91/64, -35/16, -93/32, -15/32, 
  1555/768, -535/64, 4205/64, -333/32, -7879/192, -549/32, -4521/128, 
  -987/16, 3701/64, 61985/768, 35/32, -1/4, 39/64, 23/32, 1/4, -1/8, 
  -1459/768, 25/32, 75/16, -25/32, -25/16, 113/32, 75/32, -25/32, -39/16, 
  3/8, 3/4, -5/8, -3/8, -3/4, -1/4, 1/2, 1/4, 1/4, -1/8, 1/8, -3/8, 1/4, 1/2, 
  -1/2, 1/4, -1/4, 1/4, -5/8, 3/8, 1/8, -3/8, -1/16, -1/16, 1/2, 19/64, 
  19/64, -67/32, 19/128, -5/8, 205/128, 1, 201/128, 1/8, 201/128, 11/64, 
  -153/128, 3/8, -19/64, -19/64, -3/8, 51/64, -19/128, -1/8, 3/128, -17/32, 
  1/64, -51/128, -3/8, -51/128, -1/8, 99/128, 1/4, 51/128, 1/4, -1/2, -1/4, 
  -17/64, 1/8, -1/8, 33/64, -1/4, -1/2, 1/2, -1/4, 1/4, 141/16, -99/16, 
  -365/64, 63/8, 1603/64, 3/8, 13/8, 135/16, -3/8, 23/8, 31/32, 113/64, 3/8, 
  661/64, 21/32, -147/32, -303/64, 131/8, 1091/64, 9/16, 9/16, 297/64, 3/8, 
  1/8, 3/16, 39/4, 3/8, 3/16, 3/8, -289/64, 97/32, -1/2, -1/8, 41/4, 623/64, 
  85/16, -543/64, -4019/64, 975/32, 3197/96, 555/16, 4569/128, 989/16, 
  -2187/16, -62273/768, 59/16, -27/32, 1845/64, -25/16, -43901/768, -67/16, 
  -415/16, -1693/64, 203/16, 30977/768, -3/8, 1/4, -3/8, 3/4, 3/8, -3/8, 3/8, 
  5/16, 1/2, -1/2, -3/16, -3/32, 1/8, 15/32, -1/16, -1/4, -7/4, 19/32, 
  19/128, 25/32, 167/128, -19/64, 19/32, 19/64, 25/32, -201/128, 19/128, 
  -57/128, -19/128, -1/2, -61/64, -51/128, 1/4, 1/128, 3/128, 99/128, 3/8, 
  -3/8, -5/16, -1/2, 1/2, 27/32, 2, 307/256, 51/128, 91/256, -1/2, -149/128, 
  -225/128, -23/32, -1513/192, -143/72, 829/192, 1283/288, 791/1152, 371/256, 
  -149/128, -23/32, -1937/1152, 155/1152, 1111/2304, 3/8, -3/8, 393/64, 
  77/128, -77/128, -1/16, -307/256, -11/32, -307/128, -203/256, 1/2, 71/32, 
  113/128, -11/8, 819/128, 137/64, -629/192, -175/96, 213/128, -307/256, 
  71/32, -1/16, 307/128, -595/384, -307/256, 369/64, 3/8, 48703/768, 
  1697/192, 27/32, 2, 307/256, 163/128, 203/256, -1/2, -149/128, -225/128, 
  19/32, -25499/384, -62009/768, 93/64, 44303/576, 5707/576, 307/256, 
  -149/128, 3/32, 673/768, 6503/576, -797/384, 25/16, 707/256, 371/256, 
  35/256, 35/256, -449/128, -869/256, -35/256, 249/128, -261/128, -273/128, 
  -3/128, 137/64, 15/128, 307/256, -805/256, 249/128, -275/128, 775/256, 
  243/256, 5/16, -5/16, 3/16, -31/64, -315/256, -191/256, 61/128, 145/64, 
  -3/8, 1/8, 331/64, 5/8, 269/256, 139/256, -19/32, -207/128, 269/256, -5/16, 
  -269/256, 3/8, -7/16, -1/16, -21/16, -643/256, -371/256, -99/256, -99/256, 
  353/128, 741/256, 99/256, -185/128, 125/64, 269/128, 3/32, -265/128, 
  -17/64, -307/256, 677/256, -185/128, 241/256, -583/256, 33/64, -91/192, 
  -97/192, 91/192, 97/192, -211/32, -29/8, 1379/192, 245/32, 91/192, 361/288, 
  1/32, 2851/576, -361/288, 55/64, 15/32, 137/256, -2605/768, -255/256, -3/8, 
  -3/32, 3, 775/256, 15/32, 85/32, -31/24, 5/2, -1129/192, 139/96, 251/96, 
  -211/32, 129/32, 2719/384, -87/32, 271/64, -223/72, -5219/768, -5617/576, 
  7679/2304, -265/96, 319/256, 3/4, 265/96, -1/32, -41/32, 497/256, 427/384, 
  59/32, 265/96, -55/288, -13/8, 97/18, 55/288, 7/8, 339/128, 191/128, -1/8, 
  -1/2, -149/64, -199/128, -23/16, -41/24, -2665/288, -505/384, 23143/1152, 
  11827/1152, -83/64, -1/16, 143/128, -67/16, 45/8, -143/128, -15/16, 
  -189/64, -3/8, 33/64, 267/256, -15/16, 1/4, -1/2, 185/192, 1/2, -233/192, 
  7/8, 1/4, -973/384, -15/16, -95/32, 87/32, 71/64, -31/16, -189/64, -3/4, 
  49/64, 331/256, -667/384, -15/16, 3/4, 1/8, 75/64, 25/8, -91/64, -307/128, 
  -61/128, 5/4, -13/16, 71/16, 233/128, -23/16, 103/64, 75/16, -91/384, 
  -1079/384, -755/128, 3/8, 1/8, -3/8, 3/8, -3/8, -3/8, 1, 9/64, -1/2, 
  195/128, 1, 3/8, 3/8, 3/8, -206515/2304, -19829/64, -3773/48, -7427/32, 
  -48703/768, 135/32, 2481/8, 14753/64, -883/96, 22735/1152, 122105/768, 
  -119/16, 14461/192, 7895/192, 665/32, -15049/256, 9709/192, -737/24, 
  -345/8, 31797/512, 497/24, -26487/128, 1867/192, 47117/1152, -20367/256, 
  -3/8, -7541/96, -273/256, -619/32, 22371/512, 8257/192, 1091/24, 
  -53731/2304, 33421/144, 346009/768, -6655/288, -57761/384, -685/32, 
  1469/48, 40861/256, -653/64, 3767/48, 1399/48, 681/16, -80861/512, 
  -29281/384, -275/16, 230495/2304, 89875/576, 35167/128, -106315/576, 
  -146911/1152, -59327/1152, 47587/256, 3/4, 4979/32, -455/256, 569/32, 
  -79403/512, -13421/128, -357/8, 103435/2304, -126169/384, -391081/768, 
  -52621/1152, 419005/2304, 7/8, 307/128, 57/128, 91/64, -149/64, 125/128, 
  11/16, -3379/192, -45869/384, -3575/128, 12679/144, 145423/2304, 5/32, 
  -3/128, -7/128, 3/128, -13/128, -5/128, 3/128, -7/32, -15/128, -69/64, 
  17/64, 121/128, 9/64, -13/32, 69/64, -51/128, -13/32, 17/128, 1/4, -1/2, 
  -5/32, 67/128, 1/2, 69/64, 3/64, -35/64, 3/16, 11/16, 5/128, -107/128, 
  -3/32, 15/128, 37/64, -17/64, 3/8, 1/2, 5/16, -13/32, -51/128, -85/64, 
  -45/128, -3/2, 141/128, -17/128, 643/256, 339/128, 35/256, -449/128, 
  -837/128, -35/256, 249/64, -855/256, -283/64, -177/256, 1401/256, 69/32, 
  3/16, -5/16, 3/16, -3/8, 1/32, 3/8, 1/8, -101/64, -457/256, 23/256, 
  257/128, -441/128, -283/256, 1/32, 3/8, -403/256, 209/128, 3/8, 5/16, 
  227/256, -11/32, -315/256, 41/64, 315/256, -125/64, 281/256, -349/128, 
  -665/128, 433/256, 7/64, -565/256, -29/64, -11/16, -2363/256, 357/128, 
  -1531/256, 2115/256, 117/256, 201/128, -57/128, -577/128, -15/16, 125/64, 
  -633/128, -173/64, 1179/128, 95/128, -1941/256, 357/128, 1057/256, 113/128, 
  -57/128, -451/128, -15/16, 1345/256, -751/128, -183/256, 813/128, 163/128, 
  -9/4, 269/128, 177/256, -29/32, -721/256, 3/8, -23/128, 19/16, 477/512, 
  21/16, -497/512, -101/128, 413/512, 1/32, -51/128, -19/32, 33/64, 19/32, 
  -15/128, 51/128, 1/4, -25/64, 3/128, -43/32, -7/128, 37/64, 7/64, -7/128, 
  99/128, 99/128, -99/128, 3/8, 449/256, -51/128, -7/8, -601/256, -1/4, 
  31/128, -163/256, -3/4, -273/128, 55/128, 299/128, 523/256, 123/128, 5/64, 
  175/256, -7/128, -3/8, -519/256, -217/128, -397/256, 549/256, -89/128, 
  -187/256, 335/128, 379/128, -669/256, -619/256, -579/256, -339/128, 
  -99/256, 353/128, 709/128, 99/256, -185/64, 651/256, 851/256, -1193/256, 
  3/8, 33/64, -3/32, 3/32, 129/128, 283/128, -1163/768, 467/768, -1279/256, 
  -665/128, 381/128, 25/16, 523/128, -113/256, 341/512, 22031/2304, 7/16, 
  -269/36, 167/256, 5191/1152, 773/192, -60695/4608, -26839/4608, -143/64, 
  115/128, 3/8, -183/128, 263/64, -51/128, 3043/1024, -15/8, -1579/1024, 
  -19/256, 1019/256, -239/128, 73/256, -839/256, -2787/1024, -41/256, 91/512, 
  349/512, -11/32, -35/256, -6605/768, 885/256, -2335/768, 6473/768, 443/384, 
  -497/384, 10217/576, 343/32, -3179/576, 35/3072, -31223/4608, 24917/3072, 
  -130267/9216, -9755/2304, -3/16, 255/256, 3/8, 499/512, -123/256, -371/512, 
  -253/256, 5/2, -239/128, -27/512, -527/512, -965/1024, -299/256, 91/512, 
  813/512, -11/32, 205/256, -623/2304, 497/128, 69/256, -1781/1152, -77/128, 
  -7189/2304, 52693/4608, 27409/2304, 4961/4608, 841/4608, 5191/768, 
  16969/2304, -116981/9216, -11915/1536, 367/256, -19/512, 3/8, -3/16, -3/32, 
  -1/8, -527/256, -267/256, 97/64, -179/64, 13/32, 527/256, -27/64, 25/192, 
  -1/512, 337/192, -3521/1536, 1123/64, -547/256, -785/48, -219/64, -109/192, 
  -4597/4608, 185/256, 25705/1152, 4777/4608, 367/256, -19/512, 3/8, -1/2, 
  -3/16, 1/2, -3/32, -13/128, -527/256, -267/256, 107/256, 527/256, -99/128, 
  25/192, -1/512, 337/192, -701/384, 4581/256, -547/256, -967/256, -863/384, 
  -1825/4608, 931/512, 86053/4608, 859/1152, 937/128, 63/32, 183/128, -63/32, 
  -3139/1024, -969/128, 1035/1024, -249/256, -1115/256, -289/256, 217/64, 
  -125/32, 1627/1024, 129/256, -1197/512, -1299/512, 1/64, -1871/256, 71/32, 
  -2123/1024, 55/64, 2631/512, 2425/1024, -49223/3072, -497/1024, 61049/3072, 
  2, 3/16, -499/512, 403/512, 253/256, -1903/256, -289/256, 27/512, -401/512, 
  1509/1024, 303/256, -1197/512, -1535/512, 1/64, -205/256, 11/32, -189/64, 
  -69/256, 259/512, 65/128, -279/512, 917/512, -381/512, 2711/1024, 425/512, 
  3/32, -157/512, 61307/3072, 1375/512, 367/256, -19/512, 3/8, 17/32, -23/16, 
  -9/16, -71/512, -3/32, -1/8, -527/256, -267/256, 129/64, 105/256, -623/128, 
  13/32, 527/256, -91/64, -157/512, 25/192, -1/512, 337/192, -7/192, 
  -3521/1536, 35/2, -547/256, -373/24, -897/256, -137/1536, -4597/4608, 
  -7/256, 78547/4608, 97/72, -235/128, -259/256, -211/128, -15/128, 
  -3803/512, -163/256, 1, 103/256, 687/512, -23/64, 2411/256, 163/256, -1/2, 
  309/512, -1115/512, -19/64, -705/1024, 5/4, 863/512, 341/256, 261/128, 
  -57/512, -821/1024, -1045/512, 535/256, 345/256, 17/256, -993/1024, 
  -253/256, -49/512, -211/128, -157/512, -835/128, 663/512, 253/256, 25/128, 
  687/512, 157/512, 4331/512, -663/512, -17/128, 309/512, -991/512, -19/64, 
  253/256, 235/512, 309/1024, 157/512, 1787/512, -663/512, -127/256, 
  1121/512, 281/256, -887/1024, -93/256, 345/512, 1553/512, 53/512, 689/1024, 
  315/32, 143/64, 45553/1536, 523/1024, 15929/192, 119/256, -319/64, 
  -5565/256, 129805/1536, 14593/384, -20575/384, 5599/128, 14981/256, 
  -84323/768, -745/16, -12204005/4608, -6416023/13824, -1402165/3072, 
  79872595/20736, 3198371/6912, -57535295/41472, -9627271/18432, 153371/64, 
  -25115/384, 15040817/13824, 506531/9216, -103303/4608, 667711/9216, -63/16, 
  -143/64, 8851/72, -186961/1536, -2707/1024, -62261/384, 609/256, 281/128, 
  -626581/9216, 4759/256, -56315/512, 15499/192, 23059/192, -25567/768, 
  -14119/256, 52681/768, 635/16, 35911/864, -23194211/55296, 1659593/4608, 
  -2531291/6912, -1494419/13824, 1581593/3072, -1533025/41472, 
  -46668589/82944, 1492859/3456, 21677353/82944, 18327739/55296, -95321/256, 
  127423/1152, -26300285/55296, -118085/9216, -87/16, -1737/256, -597/256, 
  -183/128, 253/64, -199/512, 4231/1024, 2115/1024, -117/128, 309/256, 
  2743/256, 3777/512, -901/256, -227/128, -3471/1024, -345/256, -3239/512, 
  1841/512, 49/32, -303619/6912, 9039667/27648, 1887203/2304, 1835051/13824, 
  4030717/13824, 91543/3072, -1080253/41472, -96559135/82944, -1174327/3456, 
  33379225/82944, 12036307/55296, -1417351/3072, 796735/4608, 
  -20068043/55296, -556103/9216, 205/256, -1713/512, -597/256, 335/256, 
  73/256, -329/1024, -253/256, 1215/256, 3777/512, -27/512, -3413/512, 
  251/1024, -123/256, -3239/512, 4213/512, 49/32, -301/256, -500227/13824, 
  3917263/4608, -51/128, 3624169/13824, -2011/512, 1902709/13824, 
  -98246365/82944, -4303369/13824, 29215987/82944, 284405/4608, 
  -8433349/9216, -334405/768, -13783835/55296, 185021/4608, 157/512, 
  131/1024, -277/256, 663/1024, -45/64, 209/256, 79/512, 13/32, 21/256, 
  -1/512, -11/64, 883/1024, 375/1024, -999/512, 951/1024, 21/256, -101/128, 
  159/512, -639/512, -159/512, -301/256, -349/512, -19/256, 171/256, 
  -327/1024, -45/256, 65/128, 513/1024, 31/32, 1/256, 19/512, 121/128, 
  457/256, -513/1024, 61/256, 5/512, -103/64, -3/64, -39/32, 17/512, -5/32, 
  1601/1024, 643/512, 85/1024, 173/256, -9/512, -1907/1024, 33/128, -401/512, 
  5/128, -103/512, 17/32, 9/512, -3/16, 499/512, -403/512, 3/16, 121/256, 
  19/512, -499/512, 373/512, 403/512, -121/256, 5/512, -373/512, -3/64, 3/16, 
  31/64, -17/64, -499/512, 381/512, 403/512, -211/256, -13/128, -411/256, 
  145/512, -31/64, 39/128, -381/512, 217/512, -5/128, -205/512, -541/1024, 
  663/1024, -17/256, 79/256, -61/512, -829/1024, 663/1024, 461/1024, 
  151/1024, -119/128, 341/512, -393/1024, 23/32, 159/512, 277/256, 617/1024, 
  1/32, -147/256, -585/1024, -65/128, -787/256, -103/128, 1169/1024, 5/32, 
  -179/1024, -15/128, 457/1024, -761/1024, -277/1024, 1/32, -267/256, 
  259/256, -1/16, 267/256, 1/32, -301/512, 695/512, 3/8, -29/32, 91/256, 
  -393/256, -6669/1024, 1409/512, 4309/512, -333/128, 31/32, 3115/512, 
  -8515/1024, 4575/512, 5215/1024, -2017/256, -11059/1024, 1409/256, 
  2429/512, 7059/1024, 1003/512, 7429/512, -347/64, -1335/1024, 527/256, 
  7243/1024, -135/8, -4481/1024, 14425/1024, 2655/256, -685/512, -8001/1024, 
  1409/256, -177/512, 4465/1024, 65/128, 5201/512, -347/64, -93/1024, 
  527/256, 9581/1024, -8545/512, -3123/1024, 12319/1024, 2507/256, 477/512, 
  5/2, 281/512, 1/64, 9/32, -21/32, 3/8, 245/512, 107/256, -739/1024, 
  209/256, 189/512, -153/256, 93/512, 13/64, -103/256, 781/1024, -173/512, 
  33/64, -1335/1024, -247/128, 797/1024, -807/256, -1653/1024, 329/512, 
  587/1024, 2647/1024, 1939/512, 1395/1024, 93/512, 349/256, 15/32, -127/128, 
  -219/256, 189/256, 159/128, -65/128, -181/256, 17/64, 905/512, 7/512, 
  -483/128, -353/64, 181/256, -545/256, -271/512, 547/128, 33/64, 1255/512, 
  861/256, -305/256, -113/32, -6231/1024, -1/4, -117/256, -543/512, 1071/512, 
  -1255/512, 2469/512, 6925/1024, 421/256, -165/128, 215/256, 9/32, -373/512, 
  -547/512, 373/512, 403/512, -3/8, 423/512, 7/512, 547/512, -947/256, 
  -403/512, -243/256, -271/512, 1521/512, 33/64, 487/128, -377/512, -3/8, 
  -4553/1024, -2075/512, -7/512, 1433/256, -359/128, -347/256, 6661/1024, 
  35/16, -1875/256, -7/8, 253/512, 15/256, 173/512, -189/512, 171/256, 
  -173/512, -301/512, -93/128, 237/512, -3/16, 189/256, -921/512, 541/512, 
  -1677/512, 913/512, -611/512, 1267/512, 83/256, 65/256, 67/128, 465/256, 
  -485/512, -2519/512, 3/64, -443/512, 87/512, 14839/4608, 2083/512, 173/512, 
  1559/512, -20365/2304, -1681/512, -1289/256, 26323/4608, 1089/512, 
  -4367/576, -1243/4608, -243/512, 92531/4608, 791/576, -68899/4608, 535/288, 
  -9/32, -8209/4608, -21/128, -70763/9216, 33805/4608, 2091/512, 47719/2304, 
  -9781/1152, -58801/4608, -9283/512, -14581/4608, 28637/1536, 3947/2304, 
  -36851/2304, 5389/1536, 80377/4608, -4615/576, -2869/384, -349/512, 
  -19/256, 13/8, 19/128, -617/512, -19/256, 67/256, -205/256, 1/256, 19/512, 
  -397/256, 151/512, -19/256, 1789/512, -15/512, -537/512, -17/128, 5/512, 
  229/256, -221/512, 81/512, 79/128, 259/512, 323/512, 55/512, 367/256, 
  -19/512, -1879/512, -129/512, 573/128, 37/256, -845/512, 507/256, -287/128, 
  -267/256, -1085/512, 93/512, -223/128, 13/512, 1073/512, 151/128, 163/512, 
  5145/1024, 25/192, -1/512, -4805/768, 191/192, 6285/256, -547/256, 
  -30577/1536, -1889/512, 2821/384, -4597/4608, -515/128, 89671/4608, 
  17143/4608, -349/512, -19/256, 717/256, 19/128, 211/128, -959/512, 
  2737/512, -63/256, -205/256, 1/256, 19/512, -325/128, 51/512, -725/512, 
  93/32, -3399/512, 63/256, -17/128, 5/512, 263/256, -265/256, 331/256, 
  79/128, 411/512, 83/256, 55/512, -2987/512, -11/512, -407/1024, 2285/512, 
  -531/512, 63/256, 1233/512, -47/256, -1127/512, -979/512, -1015/512, 
  -271/512, 19/512, 2567/1024, 321/512, 1363/256, -1865/256, -31/64, -55/32, 
  2707/256, -621/256, -237/512, 2837/256, -5009/1024, 1683/256, 687/128, 
  951/512, 101/512, 89/128, -1237/256, 37/16, 375/256, 1123/512, 451/512, 
  -1031/1024, -3/16, -299/256, -443/512, 1745/512, -2043/512, -199/32, 
  -885/512, 1999/256, 303/1024, 233/256, -3/8, 657/256, 4745/512, -5433/512, 
  3/64, -2439/512, -1527/512, -120379/6912, 3791165/9216, -63/16, 4429/512, 
  191105/1152, -1810871/2304, -8257/1024, -1905131/6912, 2613/512, 
  1501487/13824, -23441701/41472, 4317/256, -462791/1536, 91884247/82944, 
  2154077/6912, 14393285/82944, -931/16, -28471975/82944, 5395/128, 
  971411/27648, -41655815/55296, 1659593/4608, -4902823/13824, 
  14262167/27648, 1351603/3072, -4711657/41472, -46665511/82944, 
  32387287/55296, 21940387/82944, 17190067/55296, -95321/256, 153361/1152, 
  -26819333/55296, -271175/9216, 349/1024, 19/512, -13/16, -19/256, 617/1024, 
  19/512, -67/512, 205/512, -1/512, -19/1024, 349/512, -43/128, 19/1024, 
  -573/512, 207/1024, 67/512, 17/256, -5/1024, -27/128, 27/128, -245/1024, 
  -79/256, -235/1024, -83/512, -55/1024, 2385/1024, 129/1024, -1943/1024, 
  -293/512, 67/512, -1233/1024, 47/512, 1319/1024, -113/1024, -113/512, 
  271/1024, -19/1024, -777/1024, -321/1024, -1363/512, 903/256, -389/512, 
  -2707/512, 295/256, 237/1024, -2837/512, 33/16, -1683/512, -687/256, 
  -349/1024, -19/512, 483/1024, 19/512, -67/512, -205/512, 67/128, 19/1024, 
  -349/1024, -285/1024, 663/1024, -301/512, 235/1024, 883/1024, 43/512, 
  83/512, 55/1024, -509/256, -37/512, 365/256, 729/512, -115/1024, -803/1024, 
  -47/128, 2909/1024, -519/256, 1731/512, 687/256, -637/1024, -1469/512, 
  1409/512, -85/256, 1919/512, -1409/512, 887/512, -225/256, -797/1024, 
  85/32, -1989/512, -1303/1024, 3997/1024, -583/512, 1085/512, -1935/1024, 
  209/64, -11491/1024, 1409/512, -3073/512, 9491/1024, 2181/1024, 2199/256, 
  -3959/1024, -4331/1024, 2175/1024, 4781/512, -8515/1024, -6939/1024, 
  6037/1024, 5215/1024, -855/1024, -289/1024, -19/512, 1181/1024, 93/256, 
  19/512, 203/1024, -83/1024, -529/1024, 301/512, 65/128, -183/1024, 
  -397/512, 41/64, 439/1024, -337/1024, -83/128, 529/1024, -3/8, 839/1024, 
  -39/64, -941/512, 747/1024, -91/256, 1405/1024, 3/4, 1745/1024, -293/1024, 
  -2263/1024, -4071/1024, 681/1024, 1181/1024, 2775/1024, 1285/1024, 
  -663/512, 295/1024, 85/512, -541/1024, -261/128, -557/1024, -33/64, 
  395/256, 147/1024, 19/8, 2093/1024, -173/512, -387/1024, -5877/1024, 
  -247/128, 3679/1024, -2639/1024, 767/256, 1349/1024, 4011/1024, 2647/1024, 
  945/512, 75/1024, 93/512, 295/1296, -4703/648, 75/32, 1, 5/16, -5/16, 
  11/32, 31/32, 135/16, -135/16, -311/144, -5/4, 135/16, -135/16, -257/144, 
  1957/288, -45/16, 581/144, -9/8, 3/2, 177/64, 185/576, 3/8, -9/2, -15/8, 
  45/16, -13237/2592, 33337/2592, 45/4, -32639/2592, 27401/2592, -185/96, 
  -29/6, -11/2, 5/4, -3/8, -15/8, 67/162, 6733/1296, -221/96, -29/6, -179/24, 
  -2899/192, -239/96, -29/6, -135/32, -135/32, 19/162, 365191/2304, 
  -2065/128, -481229/20736, -365191/2304, 493/72, -2215/384, 1499/64, 
  -73073/2592, 481229/20736, -481229/20736, 445/256, 48405/256, 279407/2304, 
  -9593/2304, 3043/384, 183/32, -69/32, -71/4, -39/4, 20/9, -25/32, -25/32, 
  153/32, 1217/16, -1499/64, 75/32, 75/16, 11719/1296, 3955/576, 65/12, 
  -5/16, -48989/972, -15/8, 1, 5/16, -5/16, 11/32, 11/16, 11/16, 31/32, 
  31/16, 31/16, 31/32, 159/8, 139/4, 135/8, 905/288, 45/4, 3617/288, 177/32, 
  185/576, 185/576, -15/2, -693/16, 235/16, 223/8, 1013/288, 45/4, 3725/288, 
  1189/288, -19/27, 99/8, 4721/576, 37/9, -353/16, -161/8, -1345/16, 2097/16, 
  43/2, 9433/648, 67/162, -413/24, -763/48, -35/48, 631/16, -341/16, -5/4, 
  -35/8, -157/48, -185/216, 53/18, -43/6, -5563/324, -763/48, -53/48, 
  3775/192, -1/4, 185/288, 185/288, 183635/20736, 1211833/20736, -52749/256, 
  -259895/2304, 267895/1152, 47/4, 71/4, 39/4, -29/4, 335/64, 20941/576, 
  4975/192, -711/64, -3577/32, 971/64, 157267/5184, 310219/5184, 48989/972, 
  -288247/3888, -3407/256, -521231/10368, 1825/256, -535115/2304, -47/4, 
  29/4, -20149/576, -14965/576, -25/16, -179/64, -120547/5184, -123775/5184, 
  -7039/288, 302827/3888, -1/4, -14/9, 14/9, -11/32, -11/32, 15/16, 595/144, 
  -49/16, -41/32, -95/32, 157/192, 3/16, 191/192, 1007/576, 175/144, -1/4, 
  481/288, 1/2, -3/32, 1/16, 5/32, 21/16, -15/32, 5/128, -3, 19/64, 19/64, 
  33/32, -145/96, -15/16, 19/128, -99/32, -883/384, 269/144, 35/144, -13/32, 
  -7/12, 1/8, 41/32, 163/96, 5/16, 3, 129/32, 1/4, 75/32, -3475/768, 
  -715/128, -239/144, -293/144, -239/128, -209/64, 353/128, -1/2, 375/64, 
  -135/128, -35/32, 383/128, 141/64, 331/64, 19/64, -19/64, -283/128, -19/64, 
  261/128, 107/32, 67/64, 55/16, -19/128, -27/16, 135/64, 19/128, 
  -102995/20736, -29/32, 15/64, 97/64, 325/384, -63/64, 29/32, -529/192, 
  -203/48, -9/64, 2, 9/8, -11/8, 147/32, -7/8, 15/8, -1/8, -15, 
  1262717/20736, -68163469/18432, 23747/384, 21301/288, 67/64, -21085/288, 
  -20371/2304, -20249/1152, 19241/1152, 20825/1152, -7/8, 5/16, -153/32, 
  -37/32, -13/8, 1015/128, -15/4, 215/36, -204857/2304, -3, 97/64, -11/64, 
  21/4, 10723/768, 145/32, 175/128, -461/64, -99/32, -34805/768, -173/32, 
  -65/12, 3955/576, 11719/1296, -385/96, 145/192, 133/32, 197141/62208, 
  -149105/7776, -91/64, 76375/3888, 7615/192, 1, -19/64, -1, 1/2, -139/128, 
  7/64, -15/32, -37/64, 1/2, -17/72, -2779/128, 1/2, 1/16, 75/128, 125/144, 
  69/64, 123/128, 19/64, 93/32, 205/64, 497/432, 1199/432, 171/32, -497/432, 
  -1171873/48, -4083217/216, 1167751/288, 4154443/1728, -562465241/152928, 
  1177471/72, -349843/1728, -133603/432, 4064227/288, 144549737/19116, 
  225/64, 8005/576, 77/16, -229/288, 11/16, -14587/576, -46831/2304, 381/128, 
  -647/128, -6749/576, 4321/256, 19/54, -263/128, 37/64, -97/64, 353/64, 
  -361/96, -7525/2304, 103/32, -23/16, -10477/1152, 97/288, 97/288, -89/64, 
  89/64, -121/16, 361/96, 100319/6912, -3021/256, -497/432, -2819/432, 
  -693/64, 497/432, 4710001/576, -36717431/5184, -119/16, 2016593/288, 
  13781354267/1223424, -1182259/144, -3561952079/203904, 637/8, -2014919/432, 
  14615995/6912, 4704115/288, -7855412609/611712, -43777159/1728, 
  8155391/864, 40937006723/1223424, 1193059/288, 15049882451/1223424, 
  -4815/32, 3972949/1728, -1107562003/305856, -4704223/288, 
  12359885491/1223424, 5018467/576, -2540431/216, -104555063/5184, 831/8, 
  -7/4, 14481515/1728, 6147/32, -3320566511/305856, -405/32, 77/16, 45/8, 
  -5947/216, -31/4, -225/64, -2645/64, -175681/6912, 381/128, -647/128, 
  -24445/576, 2881/256, 1513/192, -59/16, -889/192, 31297/864, 283193/6912, 
  -333/128, -601/128, 9/4, 9421/864, -3249/256, -83/192, 65/32, 281/48, 
  -407/576, -8609/1728, 461/256, 3/64, 1/16, 11/3, -19/54, -9565/864, 9/32, 
  269/192, -157/216, 13/8, 9613/3456, 1/16, 1/8, 21/16, -193/64, -19/64, 
  -341/128, 49/64, -125/128, -33/16, 3529/1152, 4511/2304, 361/1152, 
  -125/128, -4195/1152, 3529/1152, 4511/2304, 175/64, -1523/128, -245/32, 
  2743/2304, 81/64, -369/128, -7/32, 3385/576, 313/72, 203/192, 57/128, 
  -1753/384, -33/16, 551/576, -185/1152, 996737/20736, 135247/2592, -175/576, 
  269/144, -99329/6912, 930281/20736, 1397993/20736, -91/384, 1/16, 
  18451/2304, -17/8, 167/9, -93185/6912, -7211/576, -10013/2304, -197/64, 
  -3/4, 155/1152, 163/32, 1685/384, -185/64, 1375/288, 47/24, 75/16, 
  -1087/576, -33/64, -81295/36, 51/32, 33/64, -121961/54, 22, -44, -22, -22, 
  1379/32, -33/64, -1379/16, -4845/64, 33/64, 107/16, -34787/192, -33401/192, 
  -1547/32, 3029/12, 5723/384, -5723/384, -5723/384, -33/64, -11/16, 33/64, 
  -649/128, 19/8, -15/16, 507/64, -1/2, -5/128, -15/16, 15/16, -9/16, -33/64, 
  781/864, -893/64, -2649/128, 1465/864, 261/64, 33/64, -171/32, 333/32, 
  78769/20736, 2527/384, -10127/1024, -4505435/82944, 4871/512, 29581/1536, 
  -31691/1024, -2494327/82944, -33/64, 37/108, 57/64, 33/64, 12103/18, 
  26999/24, 26999/24, 32585/72, 12103/18, -84721/36, -53998/27, 26999/24, 
  244853/54, -84721/36, 26999/24, 235543/108, 324727/108, -875/64, 341/16, 
  265/8, -1/8, 145/8, -145/4, -125/8, -165/8, 387/32, 34787/192, 32921/192, 
  -645/32, -7579/24, -149/8, 5837/64, 353/64, -3907/192, -375/32, -83425/384, 
  -44813/192, -33/32, 256993/768, -517/8, 27/32, -15087/64, -6733/32, 
  34313/768, 5723/192, -49579/1728, -11329/384, 715/128, 6048745/768, 751/48, 
  50653/1728, -3/8, -185/432, -127/432, 3/4, 405/64, -509/432, -7/8, 3/8, 
  107/36, -297/32, 155/72, 291/32, 291/32, -203/144, -1/4, 63/64, -137/128, 
  169/128, 89/128, -357/64, 3/8, -1/8, -7/8, -9/4, 11/16, 31/128, 18835/1728, 
  37/64, 217/128, -7285/3456, -22889/1024, 10565/3456, 37/64, 8413/3456, 
  -7285/3456, -418787/27648, 185/128, -15/32, -425/64, 201/128, -1/8, 
  29017/3456, 27/64, -997/36, -1449/64, 4757/384, -57/128, -3829/576, 349/64, 
  2365/144, -81/64, -49771/10368, -55501/6912, 4709/384, -1091/192, 
  -2092487/82944, -159961/3072, 7189/1536, 12335/512, -3338915/82944, 
  -43303/1024, 1093/96, 67/32, -297/64, -74125/3072, -4282955/82944, 
  8909/1536, 91/32, 33665/1536, -120649/3072, -2509015/82944, 75/64, 57/64, 
  147/32, -589/384, 205/48, -9/64, -2377/384, 799/96, -1/2, -7/8, -233/64, 
  -185/144, 185/144, 185/144, -227897/6912, -463165/13824, -218873/27648, 
  -4281/1024, 361109/27648, -71/32, -241/128, -3/32, 13/64, -941/576, 
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  3841/4608, 929165/20736, 101/128, 3841/4608, 2082457/20736, 288323/5184, 
  511/1536, 1915/1152, -23/64, -33667/13824, -6911/10368, -1592657/41472, 
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  23/16, -23/16, 9811/1152, -16705/2304, -4399/1152, -295/1296, -21379/3456, 
  139399/20736, -66779/6912, 1223/1728, -286657/41472, 2809/256, -8569/1728, 
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  -925/64, -901841/864, -7111345/6912, 5651/96, 694061/576, -1994023/1152, 
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  2404423/124416, 1005/512, -2014555/41472, -1461/512, 853135/248832, 
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  -677/5184, -4073525/15552, 107/256, 527/256, -81403/6912, 81/256, -19/192, 
  -1/512, 61750201/124416, -193496035/248832, 4547/256, -547/256, 
  39525451/62208, -969/256, 3331/768, -6181/4608, 240148045/248832, 
  67339/4608, 13409/2304, -20, -2699275/3456, 2168813/1536, -2301/256, 
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  -10469225/9216, 37, -12791695/82944, -631621/768, -947413/6912, 
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  -75851/1152, -157/512, 38/9, 122807/6912, 19/512, -515/1024, -33179/1728, 
  325/256, -38/9, -567/1024, 53/64, -95195/6912, 267/256, -14275/4608, 
  26957/864, 31607/4608, -125/256, -527/256, -2009/3456, -1783/4608, 
  4763/1728, 1/512, -4667/9216, 37355/1728, 9757/3072, 33553/13824, 
  -51589/6912, -3355/27648, 17671/1728, -215093/13824, 4597/4608, -529/512, 
  49675/1728, -7945/4608, 301/512, 2179/3072, 19/512, -1129/1024, -1951/3072, 
  143/1024, -371/256, 235/512, 3799/3072, -103/128, -253/512, -637/1024, 
  727/1024, -145/1024, -69/256, 2981/2048, -427/2048, 1297/512, -46027/27648, 
  -431/512, 159/512, -469/256, 6013/13824, 2085/512, 115/128, 4705/3072, 
  -695/256, 437/512, -54371/27648, -65/128, 183/32, -7279/768, 697/216, 
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  -47167/27648, 431/1536, 74125/3456, -8515/1024, -1875/256, -6077/13824, 
  11743/9216, 277/256, 1045/512, -563/256, -19/512, -25/16, 11207/512, 
  465/128, 41/256, -3375/128, 133/128, -1149/512, -1115/512, 181/128, 
  6741/1024, -20383/768, -21571/512, -17/32, -1/4, 441/1024, 123/256, 
  -53629/82944, 1481/384, -87/256, -325123/13824, 1605/1024, -29519/82944, 
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  183/256, 256921/27648, 66479/13824, -301/256, 2183/3072, -211/128, 171/256, 
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  507/1024, -171/256, 1721231/165888, -65/128, -125/1024, 2659/1024, 
  755437/165888, -2, 540247/82944, 99/512, -247837/165888, -434137/82944, 
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  -1049191/41472, 923/512, 96653/27648, -4511/3456, 1563/256, -93161/5184, 
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  -699/256, -349/256, 1/8, -2103/512, 3/8, -399/512, 33/512, 501/64, 
  3441/512, 90113/13824, -1201/256, 1867/512, -4995/256, -17809/1536, 
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  52781/2304, -685963/9216, 2035/512, -499/1024, 117857/1536, -867263/6144, 
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  255007/1152, 5538823/9216, 161753/4608, -14198831/82944, 6945/128, 
  -8561771/18432, -83/2, -99131/1152, -14971973/41472, -13262033/20736, 
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  -397/512, -5321897/82944, 175/32, 14509/9216, -3070147/20736, -329/512, 
  117/128, -1559/256, 11727763/82944, 489/256, -7403/4608, -14327455/27648, 
  -175485377/110592, 12059/3072, -710711/4608, -17759/3072, 4721243/13824, 
  679358641/331776, -39079415/165888, -15883619/82944, 7584527/13824, 
  406889683/110592, -557935/9216, -64338889/20736, -12976589/6144, 365/128, 
  -182165/6912, -2529/256, 1709/1152, 742565/6912, -363/512, 4813/9216, 
  -289327/2304, -47/36, 13859/768, 13681/384, -1481995/13824, -113699/1536, 
  86071/768, -50761/1536, 169327/2304, 9120401/55296, 8889127/41472, 
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  558245/4608, 48803777/165888, -330005/4608, -20491699/20736, 1398797/2592, 
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  -3178946548927/268738560, -14883770515/2239488, 241/128, 205/128, 
  993412114427/44789760, 3763415665/279936, -747/512, 23296413523/9953280, 
  -91/64, -12463613/46656, -424123447991/44789760, -18917/512, 
  130361598613/14929920, 13435052273/4976640, -133841610637/29859840, 
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  219153121507/11943936, 839077/13824, -5477/1536, -69/256, 139/96, 
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  -2759/4096, -1/2, 369/4096, 637/1024, 1469/512, -1409/512, 157/256, 
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  -529/256, -1735/6912, -1085/512, 43/64, -3693/1024, 11453/1024, -1409/512, 
  3977/1024, -1041/512, 1325/1024, -4397/512, 1989/512, -313/128, -1085/512, 
  -9545/1024, 8515/1024, 479/256, -3037/512, -5215/1024, -3/32, -2495/1536, 
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  -541/1024, -353/512, 263/128, -181/256, -147/512, 663/1024, 397/512, 
  -711/256, 869/256, 51/64, 1033/512, -6671/1024, -561/512, 2333/1024, 
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  -64975/13824, 653/512, 76841/27648, 11675/6912, 81671/27648, -79705/6912, 
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  1049/1536, -101/128, -21039490787/2446848, -411940319/101952, 
  -35198908543/3262464, -45880531/5664, -2153783443/611712, 17/64, 5/16, 
  -253/36, -32585/72, -15827/72, 43181/216, 5399788577/3262464, 
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  13613973491/181248, -104248009/864, 758445866287/9787392, 24295/432, 
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  -738283/144, 514843/108, 11, 22, -22, -14551/1296, -7495/12, 1289/32, 
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  59349/256, -1366417/2304, 1558229/1152, 247/16, -893/16, 51/16, -49/4, 
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  -443/12, 3181297/15552, 437417/7776, 731/108, 503257235/82944, 95/96, 
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  2965091/432, 119/16, -43/12, 673/36, 157/18, -6295/216, -67/81, 
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