{{1, 1, -1, 1, 1, -1, 2, 2, -2, 1, -1, 1, 1, 1, -1, -3/4, 1/2, -3/4, 5/4, 
  -1/2, 3/2, -3/4, -3/4, 1/2, -3/4, -3/2, 3/2, 5/4, 3/4, -1/2, 3/8, 3/2, 3/2, 
  -1/8, -1/2, -13/4, -5/2, -3/4, -3/2, 13/8, 1, 13/4, 3/8, -13/8, -3/2, 1/2, 
  3/2, -3/2, 1/2, 3, -3/4, -3/2, -1/4, 1/4, 1/4, 7/64, 1/4, 1/4, -3/4, 1/4, 
  -5/4, 2, 1/16, 7/64, -1, -1/4, 87/64, -5/32, -2, 3/64, -1/16, 1, 5/32, 
  -3/64, 1/2, 7/32, -1/4, -21/128, 1/2, 1/2, -1, -1/2, 53/128, 15/16, -2, 
  -3/2, 265/128, 15/32, 37/16, 9/8, 1/8, 57/128, -1/2, 31/32, 51/32, 5/64, 
  -1/8, -15/16, -21/128, 1, -91/128, -1/2, -39/32, 1/4, 3/4, -17/16, 1, 
  -63/128, -3/4, -33/32, 63/32, 1/4, 1, -11/8, 3/32, 15/8, 131/128, -17/64, 
  -5/4, 13/8, 47/128, -1/8, -63/32, -21/8, 3/128, 1/16, 5/4, 5/32, -3/64, 
  -4/9, -329/192, -133/256, -8/9, 377/96, -935/256, 1571/1152, 13/4, 
  1277/256, 5, -4369/384, 3593/768, -43/8, -95/12, 1165/256, 89/72, 1/2, 
  -1/2, -7/4, 15/32, 11/8, -1/2, -9/4, 17/16, 1/8, 25/8, 1/32, -11/8, -1/8, 
  1/8, 13/32, 9/16, -1/2, 11/16, -11/16, 1/24, 1/8, 1/8, -1/24, -1/4, -3/8, 
  1/4, -3/8, 3/8, -1/2, 1/8, 1/12, -2/9, 1/2, -35/12, 337/144, 5/24, 1/4, 
  -175/384, -1/2, -2371/1536, -17/16, 1071/512, 43/32, -1/4, -109/256, 7/64, 
  85/512, 3/4, -221/1024, 385/1536, 11/16, 1033/1024, -43/32, 77/256, 
  381/1024, 635/4608, 605/1024, -197/1024, -1033/1024, -381/1024, 197/1024, 
  2/9, -2/9, -13/18, 19/6, -311/72, 431/288, -17/384, -175/384, -3/8, 
  7549/1536, 31/16, -83851/9216, -35/32, 36157/9216, -1/2, 137/256, 529/384, 
  85/512, 501/1024, -12571/3072, 999/1024, 7787/3072, -59/32, 95/1024, 
  -895/2304, 635/4608, 401/512, 895/2304, -1033/1024, -381/1024, 197/1024, 
  -1/4, -31/64, -21/128, -2/9, -2/9, 233/384, 377/384, -239/1024, -1063/1024, 
  107/4608, 1763/4608, 11/8, 81/64, 5/4, 1, -1573/1536, -3421/1536, 
  -1213/3072, 2915/3072, -15/8, -43/24, -17/12, -1309/1024, 339/1024, -5/9, 
  5/72, 5/8, 205/256, 201/2048, 2/9, 1/3, -27/256, 1427/768, 1237/2048, 
  -1131/2048, -19/1024, 1571/9216, -49/16, -2149/1024, 63/2048, -13/18, -1/4, 
  -7219/3072, -1/4, -26015/3072, -69/2048, -1/4, 6041/6144, 125/32, 
  -471/2048, 19/6, 63/16, 59533/18432, 23/12, 115945/18432, 15/64, -15/64, 
  -311/72, -259/96, -23/18, 431/288, -1/3, 335/512, -39/256, -17/384, 
  -355/384, -22643/6144, -1/4, -4577/1536, -17/128, -1/32, -3/8, -11/16, 
  -2861/2048, -135/2048, 5821/1536, 7955/768, 3975/1024, 3187/1536, 
  7931/2048, 1/16, 31/16, -7/32, 521/1024, -69451/9216, -151549/18432, 
  -1091/512, -35/32, 69/64, 30973/9216, -1/2, 169/256, -351/512, 787/1024, 
  505/384, 18785/6144, 187/768, 1/16, 289/768, -907/1024, -1411/2048, 
  -471/2048, -11947/3072, -13921/3072, 47/1536, 1319/1024, 1543/2048, 
  7115/3072, -1, -269/1024, -365/2048, -103/2304, -299/576, 117/1024, 
  149/2048, 103/2304, 3/128, 95/1536, -609/4096, -147/4096, -275/768, 
  -11491/12288, 637/4096, 147/4096, -71/6144, 6543/4096, -7/1024, 1/4, 
  14363/18432, -1483/2048, -1/3, -3775/9216, 1/12, -13/36, -1891/6144, 
  623/2048, 1/18, 3727/1024, 3955/1024, -1589/4096, 823/768, -6113/12288, 
  -16567/4096, -1959/2048, -6629/3072, 3277/9216, 47/24, 2837/4096, 1/2, 
  -25561/3072, -18959/4096, -15515/3072, -4683/4096, 10129/6144, -181/72, 
  -11/8, 157625/36864, 20255/6144, -7/72, 49/256, 1155/2048, 231/2048, 
  -1247/768, 147/128, -471/4096, -315/4096, 20057/6144, -7503/4096, 
  -117/2048, -3833/2304, 1357/2048, 1571/4608, -11/12, -2083/1024, 
  -8473/4096, -147/4096, 7711/1024, -39493/6144, 2331/4096, 377/384, 
  -135973/12288, 19819/4096, -935/1024, 45389/18432, 1571/4608, 19/24, 
  14759/2304, 1687/2048, 1/2, -16973/2304, 151001/18432, -4357/1536, 
  324389/36864, 4271/3072, -25/9, -20667/4096, 13/8, 30061/12288, 1623/1024, 
  65/18, -35/16, 2143/1536, 29705/12288, 91/512, 377/384, 3337/4096, 
  -3421/1536, -1043/4096, -935/1024, -12773/6144, -333/2048, 1571/4608, 1/4, 
  -17541/2048, -15253/4096, 315/4096, -6881/1536, 707/6144, 9189/4096, 
  4069/1536, 1501/512, -1571/4608, 9/8, 234983/36864, -1733/2048, 10813/1024, 
  -38023/36864, -2695/1536, -61/16, 44399/36864, -253/36, 35/16, -79/192, 
  -12883/3072, -5977/6144, 177/512, 9083/6144, 8825/12288, 361/768, 2569/384, 
  26299/3072, 1043/4096, 1009/1536, -25553/12288, -1/32, -106729/9216, 
  -3217/1024, -7277/3072, 50161/9216, 4535/3072, 47131/36864, -1/32, 
  -1291/2304, -12595/3072, -8825/12288, -1219/2304, 2099/768, -1291/2304, 
  1291/2304, 1/18, 23/384, -1657/4608, -4273/12288, -49/4096, -275/1536, 
  -43/1536, 263/512, 49/4096, 697/12288, 739/1024, -925/4096, 1/8, 
  11291/36864, -399/1024, -1/6, -3391/18432, 1/24, -7/16, -15/64, -1/18, 
  4669/2048, 3405/2048, 5/36, 10907/6144, 1749/2048, -5991/4096, 23/512, 
  -667/12288, -4775/2048, -345/4096, -41969/36864, 173/6144, 9/8, 21/128, 
  17/48, -16617/4096, -2, -3/8, -52765/12288, -10789/4096, -1883/2048, 
  -2935/3072, 529/4096, -15/16, -4/9, 27/16, 5/24, 80287/36864, 9749/12288, 
  -35/144, -1/6, -1/9, 51/256, 349/2048, 1/9, 329/576, 3143/6144, -1/128, 
  -4253/4608, 1147/4096, -1931/2048, -105/4096, 19289/12288, -3549/4096, 
  821/2048, -3161/4608, 735/2048, 1187/9216, 55/72, -3911/3072, -295/512, 
  -2/3, -4079/1536, -12663/4096, 217/4096, 1/9, 31747/6144, -39395/12288, 
  6005/2048, 377/768, -78275/12288, 11971/4096, -935/2048, 25961/18432, 
  1571/9216, -49/32, 5443/2048, 399/2048, 23/12, 55579/18432, 67/16, 
  -311869/36864, 55021/9216, -4357/3072, 97229/18432, 4271/6144, 19/64, 
  -3879/2048, -41/288, -15799/36864, 109/48, 20477/4608, 1623/2048, 81/64, 
  -5/12, -163/72, 1/18, -445/1536, 139/2048, -1/9, 907/1536, 22109/12288, 
  31/512, 377/768, 419/12288, -15101/12288, -817/4096, -935/2048, -6217/6144, 
  -1181/4096, 1571/9216, -71/144, 12943/6144, -249/2048, 35/72, -5077/2048, 
  -62899/12288, -1745/4096, -5413/3072, -47/768, 1299/4096, 4069/3072, 
  5107/4096, -1571/9216, 1/2, -5185/1024, -199/512, -49/48, 248533/36864, 
  947/512, 9407/2048, -655/36864, -2695/3072, 1/2, 6735/2048, 73/288, 
  -174461/36864, -3471/1024, -27/32, 199/576, 277/768, -469/1024, -47/256, 
  -6005/3072, -2485/6144, 177/1024, 5681/4096, 6755/12288, 361/1536, 1/4, 
  -601/1024, 1119/1024, 909/1024, 277/48, 13237/12288, -539/1024, -9169/6144, 
  -1/64, -43/32, 1977/2048, -53/1024, -1271/1024, -29503/6144, -1621/6144, 
  13/64, -2335/2048, 389/512, 59/64, -169/512, 181/2048, 101/2048, 
  5525/12288, -1/64, -517/1536, -97/2048, -231/2048, -1/256, -34207/36864, 
  -959/4608, -225/512, 153/1024, 203/2048, 1545/2048, 269/2048, -11/128, 
  23/256, 11/128, -197/2048, -13/12, 13/12, 5/6, 13/4, -5/2, -13/6, -91/12, 
  5/3, 13/2, -13/12, -13/12, 2, -2, -2, -31/6, 25/6, 25/6, 19/6, 13/3, -13/6, 
  -13/2, 2, 7/6, 1/2, -18, -18, 18, 12/7, 3/4, -3, 3, 12/7, 3/4, -3, 3, 3, 3, 
  -3, -3, 25/4, -25/4, 25/4, -25/4, -7/2, -25/4, -13/2, 7/2, 51/4, 1/4, 
  -11/3, 41/12, 7/6, 3/4, 97/12, -11/6, -3, -22/3, -101/12, -107/6, 37/6, 
  65/4, -41/12, -7/8, -1/4, 1/2, -4, 15/8, -13/4, 1, -1/2, 7/2, -42657/1120, 
  -5/2, -49/8, 491/56, -5/16, 3/8, 141/8, 133/8, -1/2, 927/160, 1167/160, 
  1/2, -141/8, 117/64, 1/2, 21/64, -927/160, -1/2, -117/64, -47/4, -229/80, 
  -39/32, -5/2, -1/2, 3/2, -3/2, -3, -2, -2, 1/2, 5/2, 1/2, 3/2, -1/2, 
  319/24, -439/12, -1/3, 2/3, 1/3, -1, 1/8, 71/72, -3/8, 5/36, -11/18, -1, 
  3587/576, 7/8, -5509/1152, -5/36, -3587/576, -65/6, 5509/1152, 65/6, 29/24, 
  -23/24, -1/4, -41/24, 1/4, 1/2, -13/8, 23/8, -5/4, 13/8, -5/4, -7/2, 7/2, 
  7/2, -119/24, 49/24, 3/2, -711/64, 15/2, 6, 73/8, -99/64, 2051/160, -18, 
  18, -73/8, 45/16, -111/160, -99/64, 9077/1120, -81/64, 33/64, 287/24, 
  3651/160, 1/2, -215/24, -1, -9391/160, 9/4, -181/32, 1/2, -323/64, -79/6, 
  19/2, 11/3, -3, 49/16, 20/3, -195/32, -11/3, -13/16, 195/32, -5/16, 5/16, 
  -1/2, -5/8, -5/16, -5/16, -5/16, 3/2, -33/2, -1/2, -1/2, -1/2, -1/2, 
  -137/24, 319/24, 1861/192, -287/64, -59/12, -421/12, -4225/192, -3/2, 3/2, 
  -7/3, 209/24, -371/96, -2053/192, 293/64, 287/64, -5/12, 3793/192, 
  4561/192, 7/3, 419/96, -3/32, -293/64, -4369/192, 3/32, 5/8, 49/32, 
  -491/224, -5/8, 5/64, -49/32, -3/32, 491/224, -5/64, 3/32, -5/8, -5/3, 
  61/12, -5/6, -5/24, -13/48, -29/8, 83/12, -8/3, -11/24, -9/16, -41/24, 
  27/32, -11/12, -5/48, 35/96, 9/8, 9/8, 5/3, 47/24, -25/24, -11/2, -20/3, 
  -26/3, -29/24, -35/24, -65/16, 13/4, 129/32, 697/96, -5/24, 101/48, 11/6, 
  -5/3, 7/3, -7/6, -5/24, 1/16, -7/48, -19/12, -7/6, 67/24, -11/12, -11/12, 
  569/96, 7/6, 77/48, 65/24, -569/96, -65/24, -15/16, 31/24, -1/12, 49/48, 
  -19/8, -39/16, 35/12, 23/12, -125/48, 271/96, -42657/4480, 42657/4480, 
  42657/4480, -42657/4480, 42657/4480, 5/8, 49/32, -491/224, 5/64, -3/32, 
  53/224, -499/896, 267/128, -99/16, 129/16, -419/320, 119/30, 10511/560, 
  -24057/1280, 53/224, 119/16, -89/128, -10577/512, -481/320, -15/128, 
  -35219/10240, -3903/640, 109/128, 1803/2048, 45/32, -1, 23/24, -4897/480, 
  -6241/1120, -7/16, 1839/128, 673/128, 195/128, 5/8, -5/2, -5/8, 161/16, 
  -171/8, 5/4, -9/16, -1/2, 469/36, -617/24, 481/16, 3419/288, -1, -7/24, 
  -47/6, -13/4, -7/16, -743/576, 13093/1152, -41/192, -5/3, -15/8, -5/24, 
  7/3, 31/8, 17/24, 3/8, -39/8, -9/8, 29/8, -77/12, 1/16, 79/12, 161/24, 
  -3/8, -3/16, -59/24, -23/48, 1/8, 1/8, -7/64, -1/18, -121/32, 203/64, 5/8, 
  -9/16, 179/64, -4/9, -121/48, -5/2, -3, -19/72, 9481/1152, -199/16, 15/8, 
  41/64, 107/24, -16751/2304, 7/12, -239/72, 1129/144, -321/32, -1/2, 
  -1741/576, 4873/192, -427/48, 1001/128, 12539/1152, 271/72, -1283/1152, 
  299/16, -1781/96, -14771/2304, 39/16, 1/8, 23/128, 7/128, 3193/864, -5/16, 
  -5/16, -313/48, 3521/864, -161/192, -89/27, -29/288, 1, 3/2, 95309/4608, 
  167/24, 63/128, 7/128, -1800761/55296, -3893/864, -31/72, 825773/55296, 
  161/192, -31631/1536, 35/288, -3/4, -1097231/55296, 1869713/55296, 
  953/2304, 928151/55296, -825773/55296, 814991/55296, -83/32, -377/36, 
  -928151/55296, 377/36, 149/108, 223/192, -24457/13824, -17831/1152, 
  446155/27648, -16127/1152, -477865/27648, 445/144, 143/72, -21/32, 107/64, 
  -11/8, 1045/1728, 75/32, 31/16, -105/32, 43/32, -61/32, 103/64, -2675/1728, 
  -1595/1728, 223/192, 1477/864, -53863/13824, -59/8, -1753/432, -925/864, 
  877/288, 1287263/55296, 428021/18432, -55901/3456, 676181/27648, 1299/32, 
  43639/6144, -106411/18432, -14833/1152, -388949/18432, -41341/3456, 
  -891007/27648, -5407/144, 52021/3456, 143/72, -3/2, 43/64, -2161/864, 
  16279/1728, -475/216, 953/72, 133/432, 9797/1728, -57/32, -3583/1728, 7/8, 
  589/864, -149305/13824, 257/108, -135817/6912, -141121/13824, 275/432, 
  -319/432, -47/24, -101/24, 919/864, -7865/864, 60085/4608, -857/108, 
  146267/6912, 168743/13824, -11/12, 43/64, -3397/864, 234997/55296, 
  238549/55296, 5/4, 445/432, -47/48, -1237/128, -383/384, 33925/13824, 
  -9275/13824, -3/16, 299/64, 12253/2048, 5/3, -293/48, 3, -18877/3456, 
  607/96, 51733/2592, -73327/2592, 20159/2592, -323/96, -127543/41472, 
  4583027/82944, 110287/2048, -16925201/165888, -16397/6144, -3509/3072, 
  -1/6, 55/96, 4841/2240, -2337/4096, 17859/1280, 18711/2560, -148977/8960, 
  89/128, -1935/256, 1192201/71680, -363/1024, -680401/71680, -341/512, 
  -1759/2048, 819/2048, -1/6, -31/96, -205/256, -5655/2048, -749/144, 
  3383/1152, 25385/18432, -67/48, 55/96, -4437/640, 7689/5120, 2337/4096, 
  -9043/720, 724627/46080, -19679/4096, 4841/2240, -53819/8960, -69213/20480, 
  -1555327/80640, 405277/17920, 17859/1280, 348291/17920, 965341/26880, 
  -148977/8960, 429/128, 10655/512, 1149/64, -10321/1280, -256943/10240, 
  28017/20480, 143741/14336, -38729/10240, -379049/71680, -4395/256, 
  -1761/128, 351/256, 15443/1024, -1611/640, 7407/7168, -3661/2048, -351/256, 
  1229/2048, 141/16, -21/256, 481/32, 299/128, -15/32, 3611/320, 2851/128, 
  -1, -71/32, -9/2, 149811/2240, 5/2, -63/4, 1767/256, 1333/96, 225/128, 
  -1/4, -1/32, -509/16, 1749/1280, -9881/1920, -163/128, 1/2, -2729/280, 
  -24173/640, 43/16, -243/32, 117/256, -10449/256, -3/2, 1149/320, 
  -2679/1280, -41539/5120, -17263/2240, 19/128, -117/256, 1803/1024, -99/128, 
  431/72, 4487/768, -1063/2048, 16/9, -377/48, 935/128, -1571/576, 807/320, 
  65129/5120, 2337/4096, -10, 4369/192, -3593/384, -91317/8960, -30231/2560, 
  46/3, -1165/128, 431217/8960, -35/36, -367/72, -11207/512, -24119/2048, 1, 
  14039/960, -279509/10240, 22449/10240, -13/128, 23/64, 89697/1792, 
  -267385/14336, 127/64, 4911/448, 30295/1536, 9011/256, -351/256, -1/4, 
  -422209/10240, 149117/20480, 5/8, 329039/17920, -23797/1024, 117/32, 
  -21567/2048, -585/256, -23/24, 9/16, -1/16, -535/72, 5/2, -5/2, 671/24, 
  -147/8, 440065/2048, 3041/144, 73/36, 18241/1152, 23/8, -38515/1536, 
  -8833043/55296, -553/24, -4634797/18432, -631/48, -2489/384, -1729/1536, 
  2522221/82944, 33605/4608, 9145271/55296, 206173/4608, 143/512, 
  -2430781/82944, -3613/1536, 1/4, 7/32, -1061/96, 224009/2304, -319/32, 
  27889/288, 345/256, -5/4, 1463/48, 2478037/9216, 399/16, 2451241/9216, 3/2, 
  97/24, 23/4, -79/96, -3/16, 381/16, -117943/1152, -1285057/9216, -1861/256, 
  -1256977/9216, 765/256, 17/48, 7/32, -139/3, -2368357/9216, 4257/256, 3/8, 
  -61/24, -353/96, 209/384, 3715/768, 1277749/9216, -583/128, 359/48, 
  -6991/768, -9275/384, -77/24, -305/384, 3/128, 407/256, 4435/768, -3/128, 
  13/24, -20063/768, 462277/9216, -191641/9216, -1453/384, -349/48, 
  -641815/9216, 369931/2304, -399677/4608, 535/48, 984373/18432, 
  -709795/18432, -389/48, 901825/18432, -61/16, 409/384, -196895/9216, 
  -778055/27648, 1431131/27648, 43537/4608, -13296451/55296, 13041995/55296, 
  169519/9216, -812293/27648, -27299/512, 409/512, 5321345/82944, 
  -8930495/82944, -9401/3072, -19810801/165888, 943031/13824, 141/512, 
  2475475/41472, -2457691/82944, 13/24, -1865/144, -28703/768, 135725/4608, 
  389893/9216, -130793/4608, -124321/9216, -5117/576, -7501/1152, -349/48, 
  599/24, -680791/9216, 1771409/18432, 422359/2304, -2620021/18432, 
  -442793/4608, 535/48, 399/16, 1724341/18432, 324533/4608, -877555/18432, 
  -389/48, 2407/288, 674305/18432, -61/16, 17171/1152, -2095/96, 
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  -123503/4608, -194515/4608, -7634231/27648, 13343863/55296, 10593805/27648, 
  317551/9216, 3643441/18432, 1293413/6912, -243115/4608, 13305/512, 
  21391/2304, 5722723/165888, -21823939/165888, -30870391/165888, 
  296563/9216, -13246279/55296, -10389335/20736, -8349271/55296, -43781/4608, 
  2508289/41472, 31725839/165888, 34970335/165888, -2508289/41472, 13/36, 
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  229/36, -1865/144, -29/9, 35/72, -361/96, -13/18, 56423/4608, 299/72, 
  2011/4608, -59/144, 29/64, -375/512, 2543/4608, 967/1536, 1883/1536, 
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  -41/54, 9539/1536, -541/144, -5927/9216, -185/144, 17105/9216, -18893/4608, 
  5987/864, -217249/27648, -4109/864, -1/9, 18481/6912, -6979/1024, 
  16063/4608, -1309/4608, 337/108, -60899/3072, 168877/9216, -3731/3072, 
  -61/72, 202951/9216, -3299/1152, -1981/144, 154933/27648, 3647/864, 
  -37/576, 11179/3072, -5383/2304, -4375/4608, 7105/1152, -166453/9216, 
  1961/576, -82619/9216, 15703/4608, -3127/1536, -115/256, 29947/27648, 
  4441/3456, 12889/3072, -23935/6912, 13001/4608, -127/256, -1405/3456, 
  13243/6912, 13/36, -16/9, 41/72, 17/12, 1/16, -3431/2304, 2035/2304, 
  127/256, -181/768, 269/192, -449/144, -5/3, 313/72, -1495/288, 1703/768, 
  629/72, -4337/2304, -119/24, 815/256, -113/48, -187/32, -13067/2304, 
  4709/4608, 385/768, -521/512, 42683/4608, 3707/2304, 197/512, -4/3, 
  -8957/2592, 18289/2592, -1115/216, 86/81, -8957/2592, -4699/2304, 
  22177/2592, -7387/9216, -409/108, 28775/9216, -2107/1296, -2233/2304, 
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  -281939/41472, 47/64, 489/256, -1071/4096, -27443/3840, -44947/10240, 
  8763/8192, 265179/17920, -78621/10240, -416229/17920, -17/64, -4627/1024, 
  1083/512, 31309/3840, 42317/20480, -48585/8192, -1125181/53760, 
  771397/28672, 363557/17920, -23/32, 4123/1024, -1395/1024, -413/1920, 
  36365/4096, 8781/2048, 176257/26880, -2495467/143360, -10433/1792, 
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  431/96, -197959/9216, 384749/18432, 737/384, -649/96, -1857973/36864, 
  2674487/36864, 175/12, 2791847/36864, 247/32, 305/288, 375133/9216, 
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  -267/32, -5727211/36864, -815/576, -1/16, -97181/4608, 273755/36864, 
  6799567/55296, 5/4, -1089289/18432, 6300217/18432, 89575/1024, 27/64, 
  80515/18432, -14131153/110592, -304519/2304, 2504329/55296, 1/18, 47/128, 
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  127/256, 1/18, -49/128, -1493/1024, 467/1024, 121/48, 1509/1024, -81/32, 
  -1/6, 2045/768, 101609/9216, -1465/1024, 89/36, -53/6, -23455/3072, 
  467/1024, -323/48, 337/48, 2085/1024, 41/288, -99/32, 1117/288, -3481/2304, 
  -71315/4608, 17/8, -36469/9216, 157/16, 58093/4608, -771/1024, -635/768, 
  -1559/288, -4685/1536, 15983/3072, -15/32, 29479/4608, -7199/2304, 
  -2765/2304, -4361/4608, 13513/9216, 11851/9216, -19847/9216, 7291/4608, 
  -181/768, 23/576, -5857/9216, 181/768, 7/54, 6125/3456, -29837/9216, 
  15581/9216, -409/1152, 3409/1296, -9539/1536, 541/144, 5927/9216, 
  -11315/3888, 3718901/248832, -650081/124416, -18185/7776, -4825463/248832, 
  16597/1944, -703777/432, -140305375/124416, -81147277/31104, 
  -3790846349/1119744, -557689325/559872, 677/432, -677/27, 1034/81, 
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  -80189/192, -22669/5184, 70861/13824, -369815/5184, -4189/144, 
  -1567975/55296, -16512433/124416, 428983/1728, 10678483/82944, 
  -22161091/41472, -10838617/10368, 502117571/497664, 22300/27, 
  -1693741/82944, -22422757/165888, 52000747/124416, -3829379/110592, 
  77891455/165888, -293670377/373248, 105869147/995328, -47851169/124416, 
  -16271699/248832, 82991549/331776, 61824557/165888, -408944053/373248, 
  -512214775/331776, 5426727143/4478976, 214269865/165888, -351744085/497664, 
  286837783/279936, 353663677/497664, -4/3, 17/18, 1387/384, 35/32, 677/432, 
  8617/864, 12655/1728, 4529/2304, 2029/192, 64523/2304, 21439/1152, 
  13001/384, 41303/3456, -99/16, -1305/128, 1034/81, 25375/864, 8683/216, 
  849697/6912, 336617/3456, 1400051/6912, 610375/10368, 77/8, -307715/2592, 
  -31891/108, -19883/64, -415475/768, -1288523/5184, 2706233/5184, 
  359933/288, 2050237/3456, -80189/192, -22669/5184, -31/3, 923/768, 
  -45/1024, 9/2, 277/13824, 76139/1728, 551597/27648, 207587/3456, 
  349537/6912, 580333/3456, 264277/5184, -4189/144, 599/32, -69/512, 
  189/1024, -4035815/55296, 770747/27648, -1582633/36864, 2925649/6912, 
  7968719/124416, 428983/1728, -371/32, -4439/3072, 37340467/82944, 
  -2532463/82944, -5315593/110592, -10838617/10368, 151/64, 
  -124359325/497664, 22300/27, -1611133/82944, -266873/4608, 9563/1024, -3/2, 
  -25233433/165888, -10082347/27648, -1786855/4096, -12904103/27648, 
  -47966395/248832, -3797123/110592, 582493/6144, -1123/256, 32977355/82944, 
  53526301/27648, 2223698399/2985984, 100447259/995328, -767827/18432, 
  -167483453/497664, -15139211/248832, 80325209/331776, 389563/6144, -293/16, 
  61251481/82944, 86466571/82944, 73917895/186624, -126558259/82944, 
  -304279/6144, -415420727/559872, 426427955/331776, -716628971/995328, 
  1191/64, -42275581/2239488, 717274163/995328, 229/144, -5/144, 43/1152, 
  -1/384, 3/16, -25/128, 1/128, 1847/2592, -5189/1152, -146267/27648, 
  -175325/13824, -1/4, 1/4, -5999/324, -1181669/41472, -6146333/82944, 
  270245/2592, 4831507/27648, -716459/1728, 14081/2592, -10613/4608, 
  -3827/6144, 5221/2048, -9/4, -611/3456, 577717/27648, 344611/13824, 
  -49403/1728, 10823/288, -572827/27648, -3449/2048, 891/2048, 256273/2304, 
  3275083/27648, -146455/864, -231841/864, 8678273/55296, 2279/6144, 
  -57706627/165888, 10772827/27648, 5422391/5184, -722179/1152, 
  -566475331/497664, 236419/288, 1272503/41472, -837737/55296, -21241/6144, 
  9/4, 1998461/82944, 6227261/41472, -279581/5184, 725491/18432, 
  -8764217/110592, -1607/1536, 106400135/165888, 37491931/248832, 
  -74863519/497664, 95672963/331776, -160824209/165888, 309513319/248832, 
  -48874099/165888, 13905289/110592, 5711/768, -5388911/27648, 
  42268435/124416, 265471553/165888, -47222227/36864, -1308163267/746496, 
  324769439/248832, 93520357/124416, -32841683/82944, -375870133/373248, 
  92026483/34992, 559182317/559872, 5/72, -181/576, 101/192, -223/576, 
  61/576, -4/9, 277/192, -149/96, 319/576, 11/12, -373/192, 197/192, -7/9, 
  469/576, 17/72, -7085/1296, 5297/1296, -192523/5184, 11329/192, 237401/648, 
  -1151599/5184, -16423339/10368, 10208365/10368, 13054607/10368, 
  -5724313/165888, 6017797/165888, 4627229/331776, 29718649/331776, 
  812377/13824, 1398593/82944, -2513441/110592, 211788035/663552, 
  -222495755/663552, -1523310001/663552, 122192659/73728, 660405559/331776, 
  -85545307/82944, 43489451/41472, 85288987/82944, -143/72, -217/48, 
  -17837/6912, -79159/6144, -105163/6144, 348287/9216, -10541/216, 
  -833617/20736, -4019441/27648, 35181187/165888, 408575/1296, 7897357/55296, 
  -12033445/20736, -2982683/2592, 237490591/165888, -161899/384, -34361/5184, 
  -4692509/165888, -3228253/110592, -54481177/331776, 22744777/165888, 
  -279229/5184, -20460923/165888, -89754065/165888, 70039237/331776, 
  1299259/2592, 44329739/82944, 21921283/110592, -11005525/5184, 
  -224624671/497664, 17446567/10368, -1112443/27648, 2550893/8192, 
  8153321/221184, -99495833/165888, 113563/20736, -446324807/221184, 
  38235197/20736, 18690709/248832, -620081/1296, -6006941/124416, 
  16044677/36864, -123676441/221184, 267623735/221184, -37589927/12288, 
  -1609033145/1990656, 1507019/576, -685630229/497664, -921329/27648, 
  686220341/497664, 143/144, 3451/1728, -10249/3456, -79/256, -217/48, 
  -107/54, -251089/20736, -42145/6912, -89377/5184, -2167187/165888, 
  -45013/2048, -176059/5184, -2602183/82944, -341879/9216, -2812331/41472, 
  23/18, -7375/1728, 109021/27648, -10541/216, -251689/5184, -742771/27648, 
  -1772609/20736, -9907661/82944, -27934763/165888, -603409/2592, 
  -1798787/4608, -279589/27648, 2803/864, 408575/1296, 1709449/5184, 
  1457465/6144, 77958215/165888, 486583/648, -11091451/165888, -2675/3456, 
  -2982683/2592, -6545537/5184, 9383045/55296, -161899/384, -34361/5184, 
  25301/2592, 161/192, -3109/576, -2575453/165888, -4716029/165888, 
  -246415/12288, -18102257/331776, -6836867/165888, -5743841/41472, 
  -379013/2048, -15311407/55296, 20297/5184, -279229/5184, -31499/2592, 
  -114425/110592, -449/1024, -543233/6144, 354181/18432, -40954801/110592, 
  -156450941/331776, -103424765/165888, 2058605/165888, 1299259/2592, 
  6791/5184, 216023/12288, 5786585/27648, -721619/4096, -89936615/331776, 
  -11005525/5184, -3689/1152, 401854529/497664, 17446567/10368, 
  -2898545/82944, 125669/82944, -125881/27648, 225175529/663552, 
  203781421/663552, 116686429/663552, 64754873/165888, 173822219/221184, 
  7549669/165888, -160957/20736, 7347451/331776, -321551/36864, 
  -1300470685/663552, -534911075/331776, 93961091/331776, 20639605/248832, 
  3721493/55296, -159186683/331776, -5953565/124416, 5360807/12288, 
  -17872193/331776, -891007/55296, -19390415/20736, -262252627/221184, 
  -194549387/663552, -112497191/36864, -61001/4608, 2302266073/1990656, 
  5341529/2048, -694787753/497664, -450767/9216, 41194811/41472, 
  695556713/497664, 143/144, 6461/5184, 4723/2304, 418759/55296, 
  327085/27648, 9853/648, 2507749/82944, 12151153/165888, -576163/5184, 
  -1042685/6144, 1461077/3456, -51901/5184, 2143/6912, -1817375/55296, 
  -2343763/55296, 380687/9216, -369559/5184, -4348873/55296, 
  -85822469/331776, 25523011/82944, 371431/648, 61482805/110592, 
  -69726211/331776, -23983063/10368, 908186705/995328, 2182993/2592, 
  -4259563/165888, -7250377/331776, -78030533/331776, 20623225/165888, 
  -1883633/36864, -125926583/221184, 52399241/331776, -215978875/995328, 
  166061579/165888, 86227697/497664, 425820247/663552, 114617845/221184, 
  -88214873/165888, -1060228373/331776, 1454119633/995328, 18373195/20736, 
  -3726566815/1990656, 28172891/24576, 1809191587/1990656, -374801/13824, 
  761/576, -307/96, 8323/12288, 55927/36864, -61/192, -27281/3840, 
  259673/30720, 23101/8192, -67121/24576, 197917/7680, -2066069/107520, 
  -1140541/286720, -2030261/40320, 1238719/43008, 1632503/53760, 953/576, 
  -4037/18432, -163691/18432, 2831/384, 5/32, -31181/3840, -869497/368640, 
  14834267/737280, -1269707/245760, 195911/7680, 6570877/322560, 
  -22058483/573440, -7316027/161280, -3359309/286720, 101269/3840, 6395/2048, 
  -7685/2048, 727/2048, 165/256, -640621/40960, 294053/16384, -94799/40960, 
  3610471/143360, -10874783/573440, -730731/57344, 10479/4096, -15789/8192, 
  6483/8192, -27891/8192, 22701/8192, 85907/57344, 1501/8192, 1315/8192, 
  -1/9, -983/768, 919/192, 2913/512, -104359/4480, -2841/512, -2337/8192, 
  120579/2560, 18711/5120, -511857/17920, -1033/576, 491/192, -1095/512, 
  70843/11520, 21289/7680, 34207/4096, -54689/7680, -4812973/143360, 
  -51351/8192, 1277/576, 2350277/143360, 32089/53760, -8155/2048, 2727/1024, 
  29493/40960, -4029/512, -1291/160, 8885/2048, 3226001/286720, -14479/4096, 
  53961/8192, -139309/57344, -861/8192, 15005/8192, -1/9, -17/256, 137/256, 
  -735/4096, 1219/192, -4/9, -6005/768, -377/192, -35311/12288, 935/512, 
  541/768, -1571/2304, 919/192, 39611/2560, 186609/10240, 2337/8192, 209/256, 
  -1/4, -630281/30720, 4177/768, 46567/8192, -3593/1536, -104359/4480, 
  -432787/8960, -345693/40960, 46439/3584, -203/24, -66585/3584, -1045/512, 
  120579/2560, 1315971/35840, -7837457/161280, 163/18, -511857/17920, 
  -1033/576, -1157/192, -19761/1024, -57135/4096, -1339/576, 1413/2048, 
  -5017/4608, 35725/8192, 25385/73728, 23/128, -67/192, 70843/11520, 
  17641/7680, -51029/10240, 7467/5120, 823/2304, -739971/40960, 
  -243353/184320, 47019/20480, -18143/16384, -54689/7680, 7667123/143360, 
  -5376571/286720, -1831/8064, 1329863/286720, 1318853/71680, 1277/576, 
  -1939163/143360, 693517/26880, 32089/53760, 11599/6144, 24159/1024, 
  6759/256, -351/256, 19225/6144, 28727/4096, 155/256, 105/256, 
  222079/122880, -268217/10240, 193683/40960, -54863/122880, -10739/24576, 
  1247/768, -463671/17920, 869019/35840, 3337441/286720, 1251437/57344, 
  -38723/4096, -55985/4096, 351/128, -1171/4096, 115835/73728, 635/1152, 
  596223/40960, -145757/20480, -75511/40960, -1285671/286720, -183/8192, 
  -351/256, -6483/8192, 12151/8192, -761/576, 1471/1024, 4155/16384, 
  -69/1024, 2257/384, 11661/16384, -5387/16384, 69/1024, -54607/12288, 
  -63421/16384, 77/1024, -1/2, -20923/36864, 441/256, 2/3, 233/512, -1/6, 
  89023/11520, 1181033/122880, -12125/32768, 1/3, -1838849/92160, 
  -2872909/163840, 16189/32768, -823/384, 1280935/147456, 308195/32768, 
  1959/1024, 33715/8192, -3277/4608, -100933/4608, 1007621/143360, -2, 
  121408169/2580480, 2544417/1146880, 15515/1536, 227239/1146880, 
  -10129/3072, 5285029/161280, 103/12, -35706443/1290240, -20255/3072, 
  -323/72, 761/576, -13791/2048, -16909/2048, 1389/4096, -1489/384, 
  200435/24576, 159417/16384, -273/512, -2897/12288, -51315/16384, 5/256, 
  60991/36864, -899/512, -61/192, -89743/11520, 27731/40960, 134065/32768, 
  8211/8192, 837029/92160, -444643/40960, -305681/81920, 1887863/147456, 
  -991197/163840, -100465/24576, 565073/23040, -2080201/35840, 
  -1928621/163840, -7498219/2580480, 50759031/1146880, -162748981/10321920, 
  -413549/32256, 502689/28672, 459329/1290240, 123785/8064, 17347/6144, 
  178435/16384, -215/1024, -570893/49152, -68555/8192, 1835/1024, 17863/1536, 
  -229/1024, 5/32, -139451/20480, -5566987/491520, -44217/8192, 
  5110901/163840, 3052519/491520, -899209/81920, 15239849/430080, 
  21835747/573440, -3161479/53760, -7145673/143360, -25547/8192, 
  167483/73728, 2743/6144, -135803/73728, -275/768, 7924927/491520, 
  5111/2048, -1655471/368640, -59204401/3440640, -172037/73728, 6483/8192, 
  101989/36864, 5/24, -17/64, 1/64, -4/3, 27/16, -1/16, 2, -5/2, 1/144, 
  -239/64, 1/4, -1/64, -65/18, 229/12, -5/8, 123/8, -41/3, -3095/144, 1/4, 
  287/36, 1169/256, 463/96, -14371/4608, -17/3, -56785/4608, 12133/1152, 
  -8303/4608, -13/32, -1753/1152, 8771/1536, -841/4608, 9163/4608, 635/2304, 
  437/288, -437/288, -4469/288, 3673/384, 497/32, 8491/384, -2287/576, 
  439/32, 325/576, 133/144, -168403/4608, 824411/18432, -101/24, 
  -1091441/6144, 2443489/9216, 19/8, 8402017/36864, 7046965/36864, 1085/72, 
  129689/2304, 2/3, -71/256, -37393/2048, -727421/6144, 28613/1536, 
  -47182493/110592, -8543623/36864, -79667/2304, -17998735/55296, -2897/512, 
  25189/4608, 18668515/165888, 2225213/165888, -14857/1152, -3185659/82944, 
  8465/768, 4073/4608, 2505805/41472, 483/512, 635/2304, 67/72, -49/384, 
  17/64, 437/288, -331/288, 518069/6144, 89/72, 611135/6144, -3692903/18432, 
  170815/4608, -3884519/18432, -1863/128, -334259/9216, -2995/144, 
  -17053/2304, -47/16, 19/16, -4469/288, 649/96, 5497913/24576, -131/16, 
  6862751/24576, -45522323/73728, 2177149/18432, -51447461/73728, 
  -2627531/18432, 3/2, 497/32, -4699/192, -2004539/3072, -2747/192, 
  -3039589/4096, -2514419/18432, -2287/576, -749/384, 14741/1152, 325/576, 
  133/144, -1327/576, 151145/18432, 51/512, -151003/4608, -2150347/18432, 
  5991605/73728, -1611067/18432, 24811543/73728, 91563373/221184, 
  778345/9216, 105502435/221184, 314479/2304, -101/24, 27/4, 2520661/73728, 
  -21/512, -1234609/6144, -28335079/73728, 313147357/221184, -20987195/73728, 
  537114913/221184, 69289403/73728, 19/8, 793/64, 157/512, 9865441/36864, 
  18848885/18432, 12711599/18432, 1085/72, 9311/1152, 43367/768, 2/3, 
  175/768, -109499/9216, -1264177/73728, 558803/18432, -6813617/73728, 
  -299697595/663552, -3281365/73728, -689675521/663552, -94110245/221184, 
  33509/1536, -1683835/36864, 19/256, -30090215/110592, -5896721/3072, 
  -34794325/27648, -95303/2304, -159839/3072, -2390935/3456, -40613/4608, 
  25345/2048, 127243/4096, 10072001/82944, 16941719/27648, 65594767/165888, 
  64403/24576, 611305/13824, 336700081/663552, 25843/768, -122853/8192, 
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  -427/288, -94063/3072, 440863/9216, 65/1024, -395363/9216, 525937/4608, 
  -109453/2304, -49/1024, 181755/2048, -723845/9216, -611/1024, -1/2, 
  -715153/18432, -305/64, 2/3, -8549/1536, -1/6, -59/288, -5575787/36864, 
  2523361/18432, -471/32, -5930293/36864, 978365/2304, -2517655/18432, 
  -217711/9216, 3197813/9216, -8832077/36864, 420011/18432, -5897459/36864, 
  5567/4608, 787/96, 1425001/18432, 2861/96, 174097/1024, 30313/256, 
  -1485613/36864, -149141/18432, 2552939/36864, -5797/576, 37/24, -2105/96, 
  -443761/6144, 2548787/36864, -1799/96, -8395/576, 505/288, 45877/576, 
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  1283581/18432, -629887/9216, 207269/13824, 20072689/110592, 30197/1024, 
  10707011/110592, 2927/768, -1063/288, 329525/1152, -48070781/55296, 
  49/1024, 567973/12288, -14674471/13824, 39706991/55296, -3272263/36864, 
  5432795/9216, 537065/6144, -165/32, -4114123/9216, 2012461/18432, 
  -8202059/36864, 3907841/13824, 3423683/12288, 15715/576, 2512387/9216, 
  2832803/9216, 28/9, -470455/9216, 246713/1024, 67881773/165888, 
  4392223/36864, 69512713/165888, -7037629/20736, 2991773/55296, 
  -7690181/20736, -7295461/110592, -473249/4096, 20293051/13824, 
  -1281853/18432, 49568611/110592, -179214389/165888, -57086593/110592, 
  802587/2048, -52018723/55296, -18852199/13824, -3039721/9216, 
  -3361205/36864, -13571939/20736, -24895501/82944, 5180969/13824, 
  44974315/331776, -20356225/27648, 30536693/82944, 126096703/165888, 
  2795149/3072, 26127925/82944, -635/2304, -12418217/165888, -18183145/55296, 
  635/2304, -5/108, -7/54, -1591/1536, -6125/3456, 22031/18432, 29837/9216, 
  13069/36864, -15581/9216, -51721/110592, 409/1152, -29/108, -43/54, 
  18037/18432, 3431/512, 161509/36864, -77663/18432, -80657/18432, -121/256, 
  -509/144, -161/144, 117487/12288, 2785/4608, -86123/9216, -62759/18432, 
  9101/864, 7037/864, -1274615/110592, -446933/55296, -6481/864, -5977/864, 
  -19/36, -10/27, 22739/6912, 11705/3456, -22179/4096, -14893/2048, 
  55259/36864, 33697/9216, 85597/110592, -1309/4608, 23/18, 643/216, 
  -15143/1024, -25697/1152, 1234439/110592, 45271/2304, 62363/55296, 
  -6199/2304, 619/96, -457/144, 14045/2048, 180335/6144, 24911/3456, 
  -2605/9216, -8759/576, -4733/864, 1556347/110592, 38887/6912, 2293/576, 
  6071/1728, 17/36, 2605/1536, -1463/2304, 6607/2048, 2185/512, 
  -116869/36864, -431/256, -517/1152, -4375/4608, -53/72, -294035/55296, 
  72049/9216, -552833/36864, -86957/4608, 78043/18432, 49/9, -223/96, 
  202135/27648, -63457/4608, 71339/18432, 2435/6144, 487/192, -40345/18432, 
  -9971/2304, 121/192, -4729/4608, 341/18432, -379/2048, 48349/55296, 
  -12515/27648, 4999/13824, 4441/3456, 49655/18432, -18371/27648, 5543/1024, 
  -4207/4608, -26807/6912, -7733/2304, 29875/55296, 6623/18432, 25253/18432, 
  -4067/18432, -127/512, 365/1728, 635/4608, -7525/13824, -1783/9216, 
  1973/2304, 4177/3456, 6587/6144, 381/1024, -197/1024, 11/36, 367/512, 
  -185/768, -229/144, -1257/1024, 635/1024, 1/27, -377/768, 935/2048, 
  -1571/9216, 323/96, 549/1024, -1/4, 1367/1024, -4271/6144, -81/32, 
  -197/432, -50765/55296, 365/432, -5/4, -104921/27648, 4745/6144, 7/27, 
  -377/768, 935/2048, -1571/9216, 1007/216, 69367/9216, -1337/1536, 1/216, 
  17503/9216, -4069/3072, 1571/9216, -1619/288, -18091/6144, 901/2048, 1, 
  -24085/6144, 2759/3072, 623/192, -1581/2048, -869/432, 47665/27648, -45/64, 
  1945/1728, 8/9, 66041/13824, -1841/1536, 931/2304, -177/1024, -1393/432, 
  -452519/55296, 5695/6144, -757/432, 1405/3072, 1/64, 2119/432, 93137/18432, 
  -3085/6144, -26939/27648, 3511/18432, -937/576, -175/256, 12469/9216, 
  -187/192, -28463/27648, 1679/1728, -285/2048, 1/64, 93893/55296, 
  -91073/55296, -2309/6912, 1607/13824, 12991/27648, -751/18432, 11885/55296, 
  -19831/18432, -28015/55296, 1867/9216, -41/6912, 5041/9216, -133/3072, 
  -251/3456, -9143/55296, -181/2304, 181/2304, -1/72, 17/256, 721/2048, 
  147/2048, 1039/1728, 7241/2304, 23503/12288, -14409/4096, 4461/2048, 
  -79/64, 43231/12288, -9611/4096, 21511/4096, 33539/9216, 525737/36864, 
  767/2048, -23/18, 282343/18432, -87433/6912, 103/144, -805/3072, -791/1024, 
  22693/2592, 791225/55296, -8981/2048, 13877/2048, 2005/648, 3299/512, 
  3280681/55296, 36485/4096, 6985/2304, -398585/110592, 11369005/110592, 
  368269/55296, -11669335/165888, 336511/27648, -173/48, -949/2048, 
  -283303/5184, -15450661/110592, 41965/6144, 7993/648, 3312181/165888, 
  -9913457/36864, 2779327/82944, 19420961/110592, 11771323/165888, 163/36, 
  2174191/10368, 3801181/6144, -8470/81, -46748761/110592, -9774029/55296, 
  2777/864, 362161/864, -16991/2592, -8395/1152, -23467/12288, 11921/4096, 
  -27/4, 1427/1296, -72455/13824, -351191/110592, -35863/12288, -41817/4096, 
  2251/6912, -2346077/110592, -4021/110592, 24875/2048, 647533/55296, 
  -90941/55296, 3658943/55296, 347311/27648, -238163/10368, -75/32, 
  -19547/432, -1166801/18432, -3177/2048, 705/512, 76327/5184, 
  -5449087/110592, -6123265/110592, 46957/12288, 1800673/27648, 
  -3926669/110592, 120451/12288, 811909/9216, 17249677/124416, 5574203/82944, 
  72035/144, 5670655/12288, -829/2048, -117527/1296, 210344677/331776, 
  163284271/331776, -8860123/55296, 382183/13824, 6156527/27648, -742541/324, 
  -11500621/6144, 835861/2592, -66603815/165888, -21576077/124416, 
  2865329/864, 177011/432, 9323/2592, -948043/82944, -908591/18432, -125/512, 
  45/8, 157483/10368, -43214501/331776, -26246095/110592, -152557/6144, 
  1673521/82944, -16866841/165888, -17840809/36864, 969811/10368, 
  90633607/248832, 311/32, 6637/216, -1193279/13824, -8737061/36864, 
  -7769/1024, 780149/13824, 55987765/663552, 10643335/36864, 32212171/165888, 
  1154620129/2985984, -3617443/27648, -55397/216, 2755267/31104, 
  5989445/6912, -177032039/497664, 620209541/1990656, 51227071/82944, 
  1371425/1296, 1460561635/995328, 152138299/497664, -719627/864, 
  158387/10368, 155562557/331776, 14819539/36864, 5999/256, -8623531/165888, 
  326432375/663552, 274382087/331776, -9385961/165888, -980517917/1492992, 
  -1587/32, 155837/6912, -2226795563/663552, -15725735/4096, 40763845/55296, 
  6424781365/17915904, 38130629/497664, -17704331/248832, 3525836075/663552, 
  15878989/41472, 9740219/248832, -2594497/10368, -3172345849/1990656, 
  -32738885/27648, 6785671/248832, 190955401/559872, 311189/4608, 
  255724265/165888, 30122783131/5971968, 171086059/248832, -215154217/165888, 
  356657167/497664, 1940656457/1492992, -3665/144, -355185991/497664, 
  -6773/3456, -39359/20736, -60431/36864, -877/4096, -6725/3456, 
  -147913/41472, -322103/36864, 36425/27648, 877/4096, -24085/13824, 
  -527545/36864, -537485/110592, 35593/110592, -260785/36864, 
  -1491655/110592, 2570563/165888, -265661/36864, 5528191/165888, 
  110401/6144, -3577/162, -486799/27648, 43489/13824, -121393/5184, 
  -7122227/165888, -20760935/331776, -366299/110592, -5885/5184, 
  -4676489/165888, -23155349/165888, 26068397/331776, -2029/576, 
  -26800907/331776, 58704571/331776, -21439/3456, 27527549/331776, 
  -42653/3456, 1681465/10368, 1601563/13824, 1525241/10368, 63966767/331776, 
  -516739/4608, -20203/1296, 1794415/36864, -1841183/4096, -281743/10368, 
  -45539741/110592, -129581/1728, -13065493/20736, -10824073/20736, 
  61879855/82944, 187637/1728, 75966485/82944, 7022111/41472, -4350563/10368, 
  -4352219/10368, -44131/5184, -5914573/331776, -490013/221184, -91433/36864, 
  -5725/2592, -6562733/331776, -548567/110592, -47459113/663552, 45055/18432, 
  -91/432, -1679219/73728, -44463817/331776, 12186037/165888, -15083/1728, 
  -63320347/663552, 51935639/331776, -677/54, 13785157/110592, 75/64, 
  -35743/648, -3960775/663552, -1704805/9216, -877/4096, -29113/2592, 
  -5879563/73728, -29297437/73728, 1254329/6912, -5770285/165888, 
  -289271419/663552, 7458997/24576, -24296411/331776, 67035203/221184, 
  -5299099/165888, 1155881/2592, -424481/73728, 83387/27648, 237979/1728, 
  234925669/663552, -186344431/663552, 72359579/331776, -188266135/221184, 
  380461/36864, -4623167/2592, 3247973/27648, -3313723/5184, 
  151761695/124416, -40889683/124416, 543593/1296, 2914873/3456, 223/192, 
  -1227373/41472, 213773107/1327104, 109457437/1327104, -136175/18432, 
  193291387/1327104, 34696909/221184, -109876045/1327104, 443149/331776, 
  -148616747/1327104, -426178753/1327104, -7974283/165888, -45636479/331776, 
  -311/64, 4781/288, -908027/41472, -165138575/165888, -49663/18432, 
  4890103/165888, -850105547/663552, 446497361/442368, 46232473/663552, 
  560853541/442368, 14200511/55296, -87029/648, -26815825/124416, 
  -19970467/110592, -85391911/497664, -18119153/41472, -18632725/41472, 
  5578477/10368, 197014703/995328, 148823647/995328, -546943/1296, 
  137039/55296, 159825151/331776, -170503337/331776, 29456245/221184, 
  -25151455/221184, 42226151/82944, 33360629/165888, -10999253/55296, 
  1535/64, 616295/36864, -1595390599/663552, 105881701/1327104, 
  -255537685/331776, 2646574463/3981312, -360109895/497664, -1261981/62208, 
  9595877/36864, 192360037/165888, 8663605/995328, -77782699/663552, 
  -3045023801/1990656, -123204613/248832, 442616639/331776, -22505/576, 
  506487881/663552, 1059792503/1990656, 53834549/62208, -211947359/331776, 
  175562807/497664, -374801/27648, 5693/288, -176331767/497664, -143/144, 
  -1/18, -23/384, -761/576, 1657/4608, 4273/12288, 49/4096, 1729/512, 
  43/1536, -263/512, -49/4096, -2255/3072, -739/1024, 925/4096, -1/8, 
  -11203/6144, 399/1024, 1/6, 9247/18432, -1/24, 7/16, 15/64, 82483/11520, 
  -4669/2048, -3405/2048, -5/36, -3273/320, -1749/2048, 5991/4096, -23/512, 
  -67969/24576, 4775/2048, 345/4096, 285301/73728, -173/6144, -9/8, -21/128, 
  -66879/2560, 16617/4096, 2, 3/8, 10111051/430080, 10789/4096, 1883/2048, 
  4243423/860160, -529/4096, 15/16, 682727/13440, -27/16, -5/24, 
  -7994323/258048, -9749/12288, -4858309/161280, 1/6, -15/16, 1597/768, 
  4983/4096, -1071/4096, 505/1152, -691/384, -58939/98304, 1391/2048, 
  -4865/4608, 2606561/294912, 2121/32768, 5/2048, -6971/24576, -565451/98304, 
  -609/2048, 69491/73728, -539/1024, -61/384, 1159/1440, -288611/30720, 
  -69503/40960, 8763/8192, -66383/23040, 3726953/737280, -55957/327680, 
  -187/256, 314579/184320, -36402293/2949120, -100991/65536, 1594151/294912, 
  1567853/983040, -257339/147456, -256511/26880, 54625/14336, -366279/40960, 
  520433/46080, -63231991/2580480, 32319/10240, -88093/1720320, 
  765063769/20643840, -118268741/20643840, 3398183/161280, -244701/17920, 
  -1144547/107520, 7092067/368640, 361611/286720, -237119/53760, 78283/8960, 
  167/144, -9941/2048, -1773/1024, 1083/512, 23341/36864, 121757/98304, 
  -21/16, -1255609/294912, 16223/49152, 1191/4096, 14929/3072, -2057/4096, 
  5/64, -1303/480, 2231849/122880, -312351/40960, -48585/8192, 
  -529393/184320, -928721/122880, 18645/8192, 40321879/2949120, 
  -45369/327680, -2038307/491520, 8073/640, -8255909/430080, 1960533/57344, 
  4104295/258048, 7362353/2293760, -32865421/1146880, -3332129/161280, 
  2473333/286720, -3915763/286720, 516527/53760, 3925/2048, 789/4096, 
  -1395/1024, -30835/16384, 51259/24576, 199/6144, -34561/24576, 55/768, 
  -110209/24576, 143669/8192, 8781/2048, 5167327/983040, -92141/24576, 
  -169979/81920, 6341659/430080, -6700349/286720, -67691761/6881280, 
  -3467341/286720, 637/1024, 2457/8192, -175493/147456, 38027/147456, 
  -173691/40960, 4455/8192, 75637/73728, 1002597/286720, -3755/8192, 
  -3253/8192, 1/9, 23/192, -3599/4608, -6719/12288, 49/4096, 3601/4096, 
  3571/4096, -49/4096, 1/8, -631/4096, -911/2048, -1/6, -113/2048, 1/24, 
  -5/8, -7/64, 21/256, 1/4, 26177/6144, 5655/2048, -685/1536, -1359/512, 
  -10393/4096, 1525/4096, -1685/4096, -2623/18432, 1, -99/256, -9/8, 
  -29951/4096, -15/4, 3113/6144, 2645/4096, -4243/12288, -15/32, 83/48, 
  129/32, 4739/12288, -241/288, -2/9, 137/384, 221/1024, 2191/2304, 
  2821/6144, -263/2048, -1205/2048, -7253/4096, 105/4096, -1/8, 405/4096, 
  1759/2048, 1/6, 113/2048, -1/24, 65/72, -4469/1536, -1361/2048, -1/36, 
  -11279/3072, -16405/4096, 581/4096, 685/1536, 2051/6144, 21977/4096, 
  -2037/4096, 3607/4096, 3391/18432, -1/16, 1433/256, 567/2048, 3/8, 
  4093/1152, 14865/2048, -809/6144, 2813/1152, 4243/12288, -79/32, 
  -5967/2048, 35/16, -11461/36864, -7811/12288, 141/64, -817/288, 1/9, 
  -445/768, 139/1024, -87/512, 14513/12288, -29/512, -1191/4096, -1417/6144, 
  -591/4096, 113/2048, -53/128, -5/18, 12853/3072, -285/1024, -273/2048, 
  -37825/12288, -1437/4096, 14257/6144, -5311/4096, -961/2048, -15/16, 
  -17311/2048, -1193/2048, 195487/36864, -609/2048, -113821/36864, 47/16, 
  2763/512, -204179/36864, -141/64, 79/768, -469/512, -3359/3072, 1007/6144, 
  1735/1536, 4685/12288, -1193/1024, 1603/1024, 25535/6144, 6145/12288, 
  -6273/4096, 6639/2048, 187/2048, -5317/1536, -5085/2048, 289/512, 
  113/12288, -385/1536, -1443/2048, -15811/36864, 439/2048, -19/72, 79/384, 
  -1/64, -73/144, -275425/9216, 885395/18432, 81/2048, -156257/9216, 
  4174055/36864, -1764451/36864, -49/2048, 1419965/36864, -2863097/36864, 
  -1547/4096, -3/8, -646307/36864, -11085/2048, 1/2, -7219/2048, -1/8, 
  215/144, -577/384, 3/64, -1199/288, -1835657/36864, 238609/6144, -475/288, 
  148115/36864, 1300829/9216, -1248923/9216, 178621/9216, 8947/2304, 
  -4831015/18432, -702079/36864, -156215/2048, -47965/18432, -35/16, 85/32, 
  39/16, 26181803/73728, -2478037/9216, -1/24, 23543155/73728, 
  -58471663/73728, 2196439/36864, -36711503/73728, -1395637/18432, 1/4, 
  -2459/192, -893495/2304, -1909/192, -15332161/36864, -751415/9216, 
  3059/1152, -49/1152, 569/576, -142889/36864, -353/2048, 1/128, 1795/576, 
  1011523/36864, -2974489/18432, -2575307/36864, 183041/9216, -6371891/36864, 
  -7054279/110592, 2571563/36864, -1567445/36864, 15853/2304, 
  19884445/110592, 172721/9216, 3247861/36864, 3133/1152, -37/9, 
  -210485/16384, 1409/2048, -343/36, -3005257/147456, -126533/216, 
  1284679/9216, -346409/12288, -7926829/18432, 57959455/49152, -28559/3072, 
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  1703/128, -11492297/24576, 367592653/221184, -24757369/73728, 
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  939289/2240, -136751813/161280, -1020820751/483840, 4481147/10080, 
  -323271311/483840, -52071491/53760, 13/48, 104762273/69120, 13/32, 41/12, 
  91/24, -185441/16128, 6, 19/12, -281201/8064, -167/16, -371249/16128, 
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  9/2, -4/3, 1/12, 127/32, -511151/16128, -295/12, -109/12, -59/12, 143/384, 
  55/12, -2513/384, 71/24, 19/4, 2513/384, -3/4, 1015/64, -82821779/53760, 
  217101/896, -70512419/69120, 84281699/53760, 1004587/5376, 60682259/69120, 
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  29/12, -17123/1152, 986111513/322560, -14658199/26880, -322589/1344, 
  1056847/3840, -64728919/46080, -165797/384, 127189793/69120, 709/8, 
  -1679/72, 76460323/64512, 245157407/161280, 17582177/96768, 
  1114902241/322560, 551676731/483840, 3659/144, 392575/1536, 1676773/13824, 
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  -7595/384, 219/32, 121/12, 1111555/1792, -226769/16128, 628781/1008, 
  -195871327/161280, -131575/16128, 2703857/5376, 101713897/161280, 71/8, 
  -19947155/16128, 4325/24, 3629/96, 16472765/21504, 1015/8, 1579337/4032, 
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  -3942775/48384, 9179/72, -239/144, -1727/144, 4375/144, 739/24, 
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  -273756983/69120, 614034947/967680, 666865/1792, 126223169/40320, 
  1452323/16128, -8707/288, -10498651/9216, -13667639/13440, -506611/6912, 
  376611943/967680, -284229223/241920, -17861/576, 208767/896, 
  -2680747/24192, 1189/144, -487759/2304, 1099043381/322560, -3264223/64512, 
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  5/32, 13/24, 23/8, 39/32, 1139/192, 23/192, -11/12, 23/32, 25/24, 17/4, 
  107/128, -91/48, 17/16, -47/24, -17/8, -1139/192, 11/12, -17/8, 91/48, 
  17/8, -71/16, 29/8, -65/96, 81/32, 2, -167/48, 71/12, 71/16, -119/24, 
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  -1073/288, -3991/384, 12619/768, -4637/768, 71/24, -71/24, -2, 167/48, 
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  15167/576, 3701/1152, 7309837/27648, 1475/288, 869/96, -71/12, -8087/192, 
  71/48, 2, 124237/8064, -167/48, 965077/10752, -65356969/120960, 71/8, 
  492109/1536, -71/24, 1037/32, 14852515/27648, -498049/8064, 
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  32242537/32256, 42318137/64512, 58021/8064, -377673071/967680, 
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  569188271/967680, 1126199201/967680, -641813/2016, 377673071/967680, 
  17297617/35840, 13/96, -570216431/967680, 13/16, -73/48, -9/256, -97/9, 
  -18905185/193536, 554654017/1935360, -71/24, -15821747/92160, -71/48, 
  97/96, -25/128, 745/48, 77/48, 15254761/193536, -177887/16128, 
  -36588463/215040, -37417/1792, 67/48, -773/96, -11/3, 1786151/32256, 
  1329863/32256, -1057/288, -241/96, 31/8, -5/12, -9/128, 131/16, 
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  -637/144, -3703/768, 53/72, -4055/288, -5795645/193536, 24140143/193536, 
  16773181/71680, 91177/5376, 383/144, -1361/1152, 2821/288, 3015667/32256, 
  -535307/16128, 77/144, 523/288, -113/48, -1121/256, 21/4, 24595933/193536, 
  3263/384, 211/96, -2249/288, -43/32, 1223/288, 11995/768, -1/36, 
  -1204411/193536, -42489/1792, -9649/256, -467/144, -9649/1152, 
  -2380963/32256, 317/288, -113/384, 43/48, 137/384, 527/96, 17/16, 
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  -41/256, 539/384, -97/9, 323/48, 126371/4608, -3650639/967680, 
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  11/12, -773/96, 281/48, -11/3, 1935335/32256, 1329863/32256, -1057/288, 
  -241/96, 31/8, 145/36, 2107/384, -53/72, 131/16, -19452949/193536, 
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  2821/288, 2607203/32256, -517499/16128, 77/144, 523/288, -113/48, 
  -521/2304, -8327/384, 55/72, 21893821/193536, -23189039/48384, 
  8142731/15120, -25359667/193536, 2339041/10240, 80369/5376, 1223/288, 
  9025/2304, 4/3, -226315/193536, 3444881/7168, 16538509/96768, -467/144, 
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  29328083/276480, -632149159/1935360, -1735/96, -8686231/21504, -5237/96, 
  80688935/193536, 46912571/1935360, -763/288, -11099/1152, 8689/288, 
  4664641/8064, 2015/576, 1861/288, 37/16, -8429/576, 494879699/322560, 
  -1625391/8960, 359/144, 66936949/193536, -128333441/483840, 
  99979321/276480, 499/32, 26003659/32256, 1130257/2240, 14339/144, 
  8589445/24192, 906835943/645120, 2879/288, 74639/768, -7859/192, 
  -1704331/4608, -297/32, -2681/288, -8/9, 68377/2304, -15268637/10080, 
  -12875627/107520, 11669/384, -69145/2016, -361899887/387072, 535/48, 
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  -901/72, -510547/4608, -5617/2304, 4345/576, -28111/1152, 7667633/15360, 
  8419141/10752, 8341/512, 3319563/2560, 153475/4608, 38491847/80640, 
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  37/24, 9/8, 8, -1039075/5376, 174290519/967680, 2, 8, -6281185/16128, 
  30796679/483840, -167/48, -396293/2016, -395812261/967680, 71/12, 
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  619/48, -565/144, 73350247/193536, 41209423/276480, -1333/96, 
  63134587/193536, 195700075/387072, -50207/16128, 362591687/967680, 
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  451/192, -12841109/48384, -16925203/193536, 37/96, -35/96, -1777/144, 
  -359/96, 161/16, 613/144, -53/72, -14239/768, 3/4, -3463/288, 
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  20042191/96768, 419/48, 955/288, 3137/288, -1073/288, -14485/1152, 
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  1632917/4032, 14994961/483840, 1530339701/645120, -66298457/387072, 
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  34398461/120960, -76988593/483840, 9979/96, -21449179/43008, 
  15269087/43008, 37/48, -14301817/21504, -188073377/276480, -16507741/46080, 
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  39982003/92160, 49991/576, 793/72, 15935/576, 65800291/43008, 
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  -124390027/129024, 9783173/21504, -61282493/36864, -299082461/276480, 
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  4567877/34560, 433343353/161280, -44004277/80640, 1851775489/3870720, 
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  31/32, -1/4, 3602275/16128, -60016209/71680, 49556011/1935360, 
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  39982003/92160, 49991/576, 793/72, 15935/576, 196945033/129024, 
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