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  3/8, -5/8, -31/36, 35/72, -13/24, 29/36, -31/72, 3/8, 5/12, -5/12, -7/8, 
  19/8, 7/8, -17/8, -13/18, 77/144, -89/48, 3/16, -43/36, 91/144, 1/8, 3/4, 
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  -5/48, -1, -13/8, 43/32, 1/2, -169/288, 73/144, 169/288, -127/144, 1/2, 
  45/32, 5/8, -17/16, -23/12, 19/48, -1, -9/8, 43/32, 1/2, -3/4, 0, -5/9, 
  5/9, 1/8, -29/32, 1159/1152, -4079/2304, 415/384, 1/8, 7/18, -23/9, 
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  15/16, -11/32, 1/2, 1663/1152, -45/128, -2173/2304, 39/256, -89/288, -1/4, 
  -65/576, 121/72, -2333/1152, 1873/2304, -13/256, -1375/1152, 3409/2304, 
  47/768, -1951/2304, 163/288, -1561/1152, 781/1152, -117/64, -1895/2304, 
  7/18, -5/8, -5/9, 0, 5/9, -3/8, -359/576, -13/24, 955/576, 323/1152, 13/24, 
  -751/288, 395/1152, 763/576, 19/36, 7967/2304, 21577/4608, 7/4, -25/36, 
  -21349/4608, -13513/4608, 215/288, -547/1536, -2963/1152, -17/36, 
  -1655/512, -23/8, 6239/2304, 629/192, -5047/4608, 37/36, 11/8, -439/512, 
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  -1459/4608, 1069/1152, 19/36, 6239/2304, 691/288, 7/8, -25/36, -20507/4608, 
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  6239/2304, 4021/1536, -5047/4608, 37/36, 9/8, -439/512, 1/36, 7/18, 
  323/192, -2329/1152, 365/384, 6839/1152, 11/16, -8579/4608, 2759/2304, 
  2669/4608, -199/192, 22171/4608, -9259/4608, 495/512, 7283/2304, -7/72, 
  695/1152, 1145/18432, 31/576, 239/3072, 823/4608, 61/96, -6599/18432, 
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  -1535/3456, -2275/6912, 317/6912, -5735/27648, 163/864, 6599/18432, 
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  32399/18432, 33997/9216, 3547/18432, -98327/18432, -47347/9216, 
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  -525/256, -3497/2304, 155/1152, -499/384, -3121/1152, -155/144, -353/128, 
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  903/4096, 473/384, 41431/9216, 5431/3072, -1217/768, 1115/18432, -95/288, 
  9523/6912, -35387/18432, 1399/4096, -1145/13824, 85585/36864, -2167/2304, 
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  3247/6912, 41723/55296, 5087/36864, -371/1728, -33619/36864, -3011/864, 
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  -8375/3072, -166771/36864, 103/128, 1625/6912, -6559/36864, -7/54, 
  23533/36864, -26933/6144, 53395/36864, 10975/36864, -56023/36864, 
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  -25159/36864, -145/576, -5/36, -283/1152, 10133/18432, 903/4096, -1/36, 
  59/144, -8579/12288, -903/4096, -119/384, -1625/6144, 2477/9216, -29/288, 
  -14861/12288, -433/384, -12077/18432, -559/4096, -1003/1152, 31987/12288, 
  731/2048, 6613/4608, -21785/36864, 221/3072, -3313/6144, -19055/18432, 
  -9013/12288, -8893/36864, -227/1024, -6151/18432, 5/36, 7/72, -473/6912, 
  4867/36864, 965/3456, 22393/27648, -3145/12288, -1865/6912, -9971/27648, 
  9005/36864, 203/3456, -1207/12288, 5/36, 1607/3456, -6947/18432, 
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  21635/55296, -25865/36864, -1559/1728, 11201/18432, 625/1152, 6739/3456, 
  -26593/13824, -557/36864, 903/4096, -9497/4608, -51307/27648, -667/9216, 
  7745/13824, -31/1152, -1939/2304, -46133/27648, -317/768, -559/4096, 
  48901/55296, -355/4608, -74741/18432, -5383/9216, 55/2048, -1589/1024, 
  307/4608, -7/144, -895/6912, -75907/110592, 103/1152, 15287/55296, 
  10051/110592, -5/1152, -2269/12288, 20653/36864, -109/288, 31643/27648, 
  -21/128, -41/3456, -62035/55296, 173/256, -119/1728, 1529/3072, -149/1152, 
  47257/18432, -101779/36864, -711/4096, -97225/36864, -21137/36864, 
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  -8849/110592, -1145/18432, 16949/110592, -823/4608, -9253/18432, 
  10871/12288, 5165/36864, -4973/9216, 112883/36864, -50525/36864, 
  -134761/36864, -31379/12288, -19021/36864, 19021/36864, 1/18, -1/18, 
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  17/18, -1/9, 20/9, -5/9, 1/2, -485/864, -1153/1728, 91/216, 0, 0, 0, 0, 
  5/18, -5/18, -1/4, -1/4, 0, 1/4, 49/18, -11/9, 3/2, 3, -41/9, 14/9, 
  811/432, -6025/864, 365/216, 3/4, 335/864, -1591/1728, 377/144, 0, 0, 0, 0, 
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  2/9, -11/36, -23/18, 4/9, -1/2, 1/2, 5/6, -5/6, 1/3, 5/12, 13/18, 25/36, 
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  13/4, 83/72, -23/72, -137/36, 23/72, 191/72, -391/96, 41/288, 73/8, 
  -41/288, -485/96, -601/288, 277/288, -973/144, 3983/576, -527/288, 
  -199/144, 37/144, 2, -31/16, -1, 1, 5/3, -83/36, -347/72, 11/72, 1/18, -3, 
  5/4, -3, 5/4, 673/96, -1561/192, -1, -187/144, 97/144, 349/72, -707/144, 
  -117/16, -697/288, 7/72, -53/72, -7/18, 1273/288, -77/144, -1, 1, 283/360, 
  -103/120, -1801/1440, -61/60, -23/18, 353/360, 23/18, 2831/720, 4133/576, 
  -419/144, -6661/1152, 73/36, 9857/1152, -73/36, -907/288, -7973/1152, 3, 
  1055/288, -1/2, -4/9, 5, -365/144, -5, 143/48, 5/18, 11/36, -3/4, -3/8, 
  1/4, -83/288, 23/288, 137/144, -23/288, -191/288, 983/1728, -2135/3456, 
  391/864, -23/288, 23/288, 23/16, -11/144, -1/8, 11/144, -21/16, -1271/192, 
  25/24, 6287/1152, -7/24, -133/144, -359/144, 143/144, -5/12, 83/144, 
  347/288, -11/288, -1/72, 335/1728, -1591/3456, 377/288, -25/12, 227/72, 
  167/36, 13/48, -1/12, -1045/192, 2183/1152, 769/288, 113/24, -19/12, 
  -37/16, -55/36, 65/72, 17/8, 133/360, 41/12, 161/360, -41/12, -967/480, 
  1159/576, 9/128, -697/576, 16/9, -7/9, 0, -1/8, 0, 3/4, -19/36, -365/144, 
  -41/72, 1/36, 191/64, -183/128, 181/192, 277/72, -35/36, 9/4, -655/432, 
  3319/864, -635/216, 13/27, 1/54, -655/432, 223/864, -235/432, -109/54, 
  55/54, 485/1728, 5/24, -23/288, 463/384, -10/9, 23/288, -5011/1152, 65/72, 
  1237/432, 623/1728, -23/288, 601/3456, 23/288, -113/864, 23/288, 0, 
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  -3853/3456, -3029/2304, 493/2048, 16259/2304, 1985/6144, -7843/1728, 
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  125/576, -1949/576, -1, -185/384, 35/32, 5/8, -53/128, -323/192, 1, -19/32, 
  1/8, -1/2, 17987/3456, -1987/128, -75/256, -36569/6912, -1611/64, 2375/864, 
  15883/1152, 15685/576, -25/256, 19789/1152, 26785/6144, 6935/288, 
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  60241/55296, 85537/36864, 3521/256, 728023/55296, -5651/576, 19033/1728, 
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  19981/3456, 2981935/55296, -725/864, -5975/576, -10703/1152, 1155/128, 
  -3/2, 759/256, 1/2, -3533/432, -530447/36864, -26785/6144, -1127615/55296, 
  -301559/9216, 3455/576, -6977/1152, -5749/1152, -7/4, -353/2304, 
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  -109/288, 85/144, 347/288, -11/288, -1/72, 5575/3456, -6407/6912, -917/96, 
  1589/144, 2707/768, 7217/2304, 3323/1152, 3503/3456, 17/6912, -193/1152, 
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  35/32, 59/24, -109/96, 305/192, -1781/1152, -51/32, 311/288, 1/2, 
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  12053/768, 485/576, -47/144, 1183/128, -3011/3456, 21437/6912, -89581/6912, 
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  -3253/384, -2731/432, 154243/6912, 388387/4608, 9847/768, -2178089/36864, 
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  3955/6912, 290023/9216, -527/48, -765275/6144, 77/9, -9523/768, 
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  10605/1024, -8851/1152, -68861/9216, -26395/1152, -17021/2304, 
  -198347/9216, 1649981/36864, 2747333/18432, 170635/6144, 2113/9216, 
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  -211/96, -401/1440, -923/720, 469/120, 8561/2880, -55/576, -931/288, 
  8431/2880, -2501/576, -9701/5760, 817/1152, -3701/960, 4525/1152, 
  -4513/1152, -1101/128, -1975/1152, 17/36, -65/8, -1711/27648, -35273/6144, 
  254209/18432, -113173/13824, -379/256, -22547/3072, 3761/512, -14683/13824, 
  -9293/13824, 499/768, -29/45, 8281/2880, -11987/1440, -4267/5760, 
  43231/5760, -1346573/276480, 721/1440, -851/45, -25/18, 193/2880, 
  52823/1920, 25/18, -439/360, -9929/1920, 341/720, 8047/3072, -223583/73728, 
  -235207/245760, 29389/16384, 4341397/147456, 23363809/737280, 
  -1031959/122880, -20757553/737280, -135259/27648, -21661/576, 7/2, 
  3989083/221184, 14711339/737280, -5766433/442368, -16403839/442368, 
  -32211169/737280, 15452911/1105920, -89626787/2211840, -247/1440, 
  12197/1440, -20563/1440, -12353/2880, 27389/5760, 697501/69120, -83/2, 
  -34743461/1105920, -1365229/40960, 21910907/2211840, 40392827/2211840, 
  35897569/368640, 24597703/552960, -64750843/1105920, 517/432, 485/864, 
  2171/864, -1589/288, 21/16, -59/96, -1/12, 199/72, 115/288, -199/72, 
  -91/288, 13/12, -391/288, -743/288, -515/144, 101/36, 629/192, -1147/576, 
  -4445/1152, 35/1152, 271/144, -701/192, 1135/384, -15/128, 2353/384, -3/8, 
  -7/6, -9/8, 9/2, 359/1440, -2843/256, -178027/36864, 23389/960, 
  370609/18432, 41179/9216, -23323/480, -4120231/184320, 14519/720, 
  2809/4320, 97757/8640, -117343/8640, -4391/5760, 1009741/69120, 
  -38045861/1105920, 12423803/2211840, 40652027/2211840, 12334223/1105920, 
  -369227/138240, -827/1152, -121/288, 3/2, -9/4, 7/12, -1/9, 89/144, 1/9, 
  -173/144, -3103/864, 8263/1728, -53/432, -1133/864, 557/864, 5/18, 47/72, 
  205/144, -3/16, -3031/864, 7159/1728, -623/432, -76/27, 169/108, -493/1024, 
  -7901/3072, -707/256, -17/24, 22015/9216, 22015/2304, 1297/3072, 1297/768, 
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  11389/36864, 1241/288, -215657/36864, -4327/1152, 1811/512, 23321/36864, 
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  2141/1728, -16487/6912, -46537/73728, 373/3456, -2110097/110592, 3523/4096, 
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  259/1024, 1797221/110592, 87497/18432, 911501/36864, 6095/6912, 
  27835/24576, 1791745/110592, 164309/73728, 697231/36864, -43051/18432, 
  -100691/73728, -95183/12288, -1245/2048, -3445/1536, -185/256, 421/432, 
  2675/3456, -2947/9216, -23/288, -257/288, -5863/864, -20345/73728, 
  14783/18432, -4357/1152, -320111/110592, 239617/73728, 979/216, 
  421487/36864, -245/1152, 1559/1152, -31367/13824, -23/288, 16807/3456, 
  -1031689/110592, -425/12288, 908303/55296, -12617/864, -24055/2304, 
  -1963/9216, -3445/2304, -4627/9216, -1297/768, 1451/4608, 1451/1152, 
  661/432, 16901/3456, -95/54, -98243/6912, -12797/8192, -2779/1152, 
  2795825/110592, 80469/8192, -1093/432, 497105/27648, -10189/3456, 
  -6739/864, 19111/4608, 22249/3456, 43321/13824, 115957/36864, -739/768, 
  554285/221184, 9851/4608, 46133/6912, 325/576, -46369/13824, -12095/9216, 
  991/72, 5383/2304, 181/32, -529/384, -7349/3456, -151543/13824, 0, 
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