{{1, 1/4, -1/4, 1/4, -1/4, -1/2, 1, 1/2, 3/4, 3/4, 2, 1, 1/2, -1, -3/4, -3/4, 
  3/4, -3/2, 1, 1, 1/2, -1/8, 1/8, 1, 1, 1/2, 3/8, 3/8, -3/8, 3/4, -1/8, 
  -7/4, -7/4, 9/8, -1, 3/8, 3/8, -3/8, 3/4, 1/2, 1/4, -1/4, -7/2, -11/4, 
  -5/4, -1, -9/4, -3, 1, -1/2, 1/2, 3/4, 3/4, 1/2, 3/4, 11/8, -1/2, 1/2, 1/2, 
  9/4, 11/8, -1/2, -1, -3, -5/2, -1, -1, 1/4, -1/8, -1/8, -1/4, -1/4, 1/4, 
  21/8, 29/8, -9/4, 11/4, -1/4, -3/4, -7/4, 5/4, -3/2, 1/2, 1/2, 1/8, -1/4, 
  1, 1/8, 1/2, -1/4, -25/16, -7/32, -3/16, -3/4, 3/16, 7/16, 3/16, -3/4, 
  -3/16, 3/8, -3/16, -1, -13/16, 3/16, 63/16, -65/16, 69/16, 17/8, -13/8, 
  27/32, 157/256, 455/256, -1/4, -59/32, 23/32, -13/8, -191/256, 1/32, -1/4, 
  17/8, -9/8, 27/32, 349/256, 263/256, -1/4, -59/32, 23/32, -2, -479/256, 
  1/32, -3/8, -13/8, 5/2, 73/64, -1/4, -1/4, 5/16, 1/4, -53/32, -65/16, -3/4, 
  29/16, -11/8, 25/32, 253/256, 335/256, -1/4, -1/4, 1/8, 1/2, -73/32, -21/8, 
  -111/256, 35/16, -19/32, -31/16, 3/8, -91/32, -637/256, -431/256, -1/4, 
  1/4, -5/8, 1/2, 119/32, 9/8, 271/256, -21/16, 41/32, 7/4, 287/64, 89/128, 
  -3/4, 19/32, -3/2, -381/32, 411/128, 307/32, -31/16, 1, 1, 3/4, -1/4, 1/4, 
  1/2, -1/2, -25/16, -3/8, -27/32, -3/16, -7/8, -7/8, -29/32, 1/16, -275/128, 
  -83/128, -65/256, 3/8, 3/4, -11/64, 3/4, 403/64, 11/16, -519/256, -333/64, 
  35/32, -7/8, 31/32, -29/16, -275/128, -69/128, -65/256, 3/8, 1, 5/64, 3/4, 
  367/64, -3/16, 33/256, -105/64, 75/32, 17/8, -13/8, 11/32, -213/128, -1/4, 
  -91/32, -3/4, -33/32, 11/32, 143/256, 47/256, -11/32, -55/32, -35/32, 15/8, 
  -319/256, 15/32, -1/4, -2, -11/8, 7/16, 47/32, 299/256, -39/1024, 113/512, 
  -4, 9/2, -7/2, -203/64, -2891/512, -2, -13/4, -45/16, 2119/256, -617/256, 
  -4447/512, -45/64, 249/512, 85/8, -353/128, 2355/256, -5, 613/512, 
  4635/1024, 445/512, -475/512, -135/512, 9/16, 15/256, -11/16, -7/16, 
  -423/256, -295/1024, -299/256, -285/1024, -113/512, 7/8, 3/4, 5/4, 779/512, 
  885/512, 1/2, 5/4, 3/4, -513/512, -1223/1024, 2367/512, 605/1024, -117/256, 
  -43/16, 375/512, -1997/512, 9/16, -45/64, -933/512, -197/512, 5/64, -1/4, 
  9/16, 15/256, -11/16, -7/16, -167/256, 385/1024, -299/256, 395/1024, 
  -113/512, 7/8, 3/4, 5/4, 1291/512, 1141/512, 1/2, 5/4, 3/4, -481/512, 
  -1479/1024, 2191/512, -831/1024, -21/64, -43/16, 1303/512, -1053/512, 9/16, 
  25/64, -485/512, 153/512, -17/64, 1/4, -7/16, -15/256, 3/4, -251/256, 
  -555/1024, -17/512, 13/8, -9/4, 423/512, 1, 1/4, 7/16, 241/512, 2169/1024, 
  299/256, -847/1024, 113/512, -33/16, -1389/512, -515/512, 49/16, -1181/512, 
  -1245/1024, -15/64, 1747/512, 7/512, 9/16, 15/256, -11/16, -7/16, -135/64, 
  -295/1024, -299/256, 183/1024, -113/512, 3/4, 3/4, 5/4, 1247/512, 1119/512, 
  3/4, 3/2, 1/4, 5/16, -543/512, -519/1024, 1381/512, 135/256, -545/512, 
  -27/16, -201/512, -39/32, -845/256, -251/256, 27/16, 39/32, -7/8, 345/512, 
  -643/1024, -51/64, -515/512, 63/32, 369/512, 607/256, -15/32, 21/64, 
  933/512, -5/64, 1/4, 1/4, -3/8, 3/8, 3/8, 3/8, -3/8, 3/4, -3/8, -3/8, -3/4, 
  -1/8, -5/16, 5/16, -3/4, -1/4, 3/4, 1/4, -25477/31000, -27/155, -16/155, 
  -3651/15500, 128/155, -269/620, 727/248, 32107/7750, 313641/31000, 
  -317/1240, 31969/7750, -1/2, -3/4, -1/4, -201/248, -6477/7750, -11939/6200, 
  23/248, -18421/15500, -325/248, -5051/3875, -17899/6200, -101/248, 
  -9421/15500, 1/2, 3/4, 1/4, -2, -5/4, -3/4, -3/2, 3, 7/6, 1, -1, 1/4, 1, 
  -1/4, -1/4, -1, -1/4, -1/2, 9/4, 9/4, -1, 1/6, 1/2, 1/6, 1/2, 1/2, -1, 1/8, 
  -3/16, 3/16, -7/8, -1/2, -7/8, 1/8, -1/2, 15/8, 7/8, 1/4, 1/2, -1/4, -1/4, 
  1/4, 3/2, 1/4, -1/4, 1/4, 1/4, -1/4, 3/4, 1/2, -1, 1/2, 1/2, 3/8, 9/4, 
  -1/2, 1, 1, 3/4, 1/4, -5/8, -7/4, -19/8, 5/8, -1/2, -1/8, -1/4, -3/2, 9/8, 
  -5/4, -7/32, -5/8, -5/8, -125/96, 1/4, 197/72, 143/72, -1/4, -509/144, 
  3245/384, -985/128, 553/144, 797/768, -7567/1536, -1423/1536, -217/256, 
  -3281/4608, 797/768, -1231/1536, 1265/1536, -217/256, -13073/4608, 17/8, 
  -2827/512, -3531/512, -7/4, 1/4, 41/16, -3/2, 663/256, 20527/256, 
  43589/512, -197/512, 3121/1024, 21/128, 453/256, -197/512, 1309/1024, 
  363/256, -939/256, -1675/256, -197/512, 11869/1024, -407/360, -407/360, 
  1159/1440, 67/90, 67/90, 799/1440, 41/360, -19/360, -341/720, 1, 1, 1/2, 
  -1/8, -337/180, -569/360, 1/8, 1379/720, -1/8, -28/45, -119/360, 1/8, 
  1259/720, -2477/384, -3467/768, -5003/768, 729/128, -553/144, -1, -1, -1/2, 
  -1085/768, 1775/256, 847/256, 313/256, 3281/4608, -1085/768, 783/256, 
  463/256, 313/256, 17681/4608, 349/512, 19793/13312, 1/4, 3669/512, 
  3921/6656, 349/512, 19793/13312, 1/4, 3669/512, 3921/6656, 1, -1/2, 
  -157/256, -1623/6656, 1/4, -7861/256, -4183/128, -157/256, -1623/6656, 1/4, 
  -7861/256, -4183/128, -75/128, -229/256, 185/32, 261/512, -721/1024, 
  -75/128, -37/256, 177/32, 261/512, 1583/1024, 99/128, 133/256, -83/16, 
  -261/512, -911/1024, 1, 1, -395/512, 1099/512, 1627/512, 197/512, 
  -6503/1024, -395/512, 737/512, 427/256, 197/512, -7773/1024, -1/48, 23/16, 
  -27643/19840, 127/32, -2001/39680, -534783/992000, -607/96, -4117/3968, 
  33/16, 51197/59520, 7180079/992000, -33/992, 1135411/248000, -2, 13/8, 1/2, 
  -4, 85/16, -3/2, 19/8, -1/2, -7/8, -1/8, 145/32, -1/2, -1/4, -141/32, 
  -281/64, 11/4, 345/64, -47/8, 19/8, -37/32, 581/256, -145/256, -17/4, 
  -107/32, -27/32, -11/8, 385/256, 11/32, -1/2, -41/8, 133/32, 11/16, 
  -427/128, 1379/256, 177/128, 5, 71/8, 757/64, -1/2, 517/64, 31/16, 
  -385/128, -533/64, 3/4, 21, -4559/96, 7581/256, 9/8, 961/256, 2, 
  -15299/1152, -44173/2304, 4319/384, -60857/13824, -185/16, -11455/1536, 6, 
  22963/1024, 19733/1024, 38627/768, 1404497/18432, 40951/2048, -1307/1024, 
  -8841/2048, -1/2, -7/16, 1163/1536, -3/2, 1/4, -169/240, -5/8, 155/128, 
  -2279/384, 1837/720, 1715/768, -4561/1536, 35/4, 5867/2304, 251/192, 
  -63515/2304, -11359/1536, 5435/512, 3/2, -1919/768, 6719/768, 7/4, -123/32, 
  -78913/27648, -187553/27648, 131/32, -23/8, -35/4, -5867/2304, -251/192, 
  37051/2304, 4613/768, -16547/1536, -1/8, 1151/768, -373/768, -1/8, 155/32, 
  78913/27648, 207241/27648, -201/32, 25/8, -35/4, -9323/2304, -59/192, 
  34747/2304, -733/768, -19751/1536, -1/8, 95/768, -1813/768, -1/8, 221/32, 
  87553/27648, 172465/27648, -123/32, 37/16, 7/8, 2237/576, 6163/1024, 
  251/128, 3447/1024, 17/256, -1/8, -701/192, -279/256, -7/8, -811/1152, 
  -47599/27648, 18941/3072, 475/384, -28999/13824, -1/2, -7/20, -49/7680, 
  -15297/20480, -69/640, 17/240, -7245913/1064960, -1/20, 103129/30720, 
  -5218981/532480, -22841671/1064960, 23065659/1064960, 7916791/532480, 
  -7/20, 5157/2560, -15297/20480, -5331/212992, -69/640, 17/240, 
  -6979673/1064960, -1/20, 78809/30720, 2396543/1064960, 491849/40960, 
  26992699/1064960, 1268517/1064960, -3629/4096, -16655/106496, 1/32, 
  -45611/4096, -1/4, 2233/4096, -2122013/212992, -5/32, -2701087/106496, 
  1934243/212992, -75/128, -229/256, -445/768, 24131/3072, -72145/3072, 
  645/512, -7777/2048, 823/768, -2797/1536, 1404869/36864, 10829/2048, 
  -726293/36864, 185/32, 11995/3072, -287/512, 2707/512, 23627/3072, -3, 
  -21033/2048, -3421/512, -24427/1536, -830891/36864, -47111/3072, 2095/512, 
  2173/512, 185/32, 10459/3072, -399/512, 4279/1536, 6545/3072, -3, 
  -21033/2048, -3677/512, -22363/1536, -908555/36864, -3311/1024, 47/512, 
  -10441/1536, -363/512, 1137/512, -3/16, -2269/3072, -3/16, -11/8, 
  -1223/512, -1199/128, -60721/3072, -44263/3072, -4627/1024, 70853/6144, 
  115/32, -175/256, 1/16, 127/32, -293953/79360, 2368013/3968000, 
  -2001/39680, 3309771/992000, -534783/992000, -511/96, 9/8, -111/16, 
  254303/79360, -31809/39680, 25/16, 83/32, -47/96, 3951/2560, 
  -5745849/3968000, 10511/23808, -1582089/396800, 3541589/992000, 3/2, 
  -182067/79360, -34163/39680, 13/32, 3667/19840, 9476031/1984000, 
  96859/19840, -85/64, 1/4, 9/16, 15/256, -11/16, -17/8, 277/64, 2177/1024, 
  -1/2, 65/16, 467/512, -21/4, 25/8, 73/32, 1347/512, 1253/256, -13/4, 
  -95/32, 3/4, -1249/512, -391/1024, 169/128, 1121/512, -301/256, -53/32, 
  -201/512, -949/256, 15/32, -11/16, -517/512, -25/512, 1/16, -1/8, 45/16, 
  65/256, 481/360, -19/16, -13/256, 18475/9216, -291/256, 78241/15360, 
  -5119/7680, -3/4, -59/16, 3/8, 745/512, 1525/512, 1, 1, -17/16, 
  -12925/1536, -31961/46080, 461/1536, -3895/9216, 1301/2880, -3/4, 1847/512, 
  601/512, 1/16, -2267/1536, -107407/46080, -2453/46080, 43/1536, 
  -6887/15360, -125/16, -4153/1152, -119/192, 21/16, 13823/768, 13465/1536, 
  945/256, -11447/1536, 435/512, -7/8, 1343/768, -5/4, -7095/512, -2883/512, 
  -5/2, -19/8, 13/2, 42991/4608, 51575/13824, -23437/1536, 10439/9216, 
  11441/1024, 5/16, -10099/1536, 925/512, 15/16, -335/64, -883/27648, 
  -25349/9216, 223/64, -1/4, -49/80, 28057/30720, -55231/53248, -39421/20480, 
  -123791/212992, -1063/2560, 193/120, -1835/2048, 740063/532480, 7/20, 1/4, 
  49/80, 4607/12288, -4489081/1064960, 35931/20480, -1761237/266240, 
  903/2560, -187/80, 9603461/532480, -639443/532480, 267/80, -26383/20480, 
  3166763/266240, 7111203/1064960, -8593881/532480, -7073351/1064960, 185/32, 
  1/8, 11995/3072, 7/16, 3125/1536, 14767/3072, 299/256, 8173/384, 113/512, 
  -3, -22057/2048, -27/32, -61121/6144, -207/32, 1/2, -29/8, -24349/1536, 
  -903407/36864, -3083/512, -1864721/36864, -10841/1024, 115/32, 38431/6144, 
  11093/768, -3, 6407/768, 929999/36864, 9783/1024, -8909/768, -1/2, -5/2, 
  624/155, 2006/3875, 7, -18457/1240, -3/2, -5201/310, 189157/15500, 
  45427/1240, 34116813/992000, -1/4, -2, -1/4, 1, 3, -3, -2, 535/1536, 
  3153/13312, -1/2, 3157/512, 8913/6656, 1303/1536, 109649/13312, 71/8, 
  2901/512, -19375/6656, -663/512, -78855/13312, -22847/512, -193529/6656, 
  113/1024, 1043/2048, -7/4, -747/128, -307/768, 1137/1024, -12847/6144, 
  -137/256, 571/128, 18151/1536, -103/1024, -32251/6144, 4477/1536, 
  437887/39936, 1519/768, 2567/512, 265571/59904, 1407/512, 298111/39936, 
  4495/768, 2567/512, 280547/59904, 157/256, -26285/6656, -1/4, 5941/256, 
  15339/416, -1501/256, -14159/1536, -3583/768, 5233/1024, -14239/6144, 
  -1597/256, -5459/1536, -13/48, 5745/1024, -53527/6144, 605/96, 767/192, 
  9323/768, -2655/512, 60295/9216, -141/64, -4539/416, -14543/512, -349/256, 
  1019/6656, -1/2, -5941/256, 281/160, -45012803/2856960, -986395/159744, 
  -1281347/63488, -3982600133/1238016000, 24243961/1984000, 307/160, 
  7318283/952320, -18365693/8253440, 69/80, -32207/10240, 
  121213528741/11142144000, 1049384913/82534400, -366779047/8253440, 
  -3969986129/412672000, -35/4, -8315/2304, -143/192, 41/16, 863/768, -1/8, 
  479/64, 115201/27648, -319/64, 3/8, -99/40, -1199/1280, 43245/13312, 
  -13641/10240, 202593/106496, 1979/2560, 199/80, 9217/512, 4458583/266240, 
  -47/40, 69753/10240, -4884121/532480, -32883/532480, 7327421/266240, 
  8098991/532480, 385/32, -761/384, 803/3072, 17921/1536, 51221/3072, 
  48485/6144, -69/8, -39215/2048, -94475/6144, 3/2, -36163/1536, 
  -1093201/36864, 20837/12288, 50789/6144, -10635/4096, 53/40, 202799/61440, 
  2718649/1597440, 51637/10240, 3842867/737280, 12701/2880, -439/240, 
  33167/4096, 13272713/532480, 7/20, -204797/20480, 194831/61440, 
  193798261/9584640, -320849/199680, -8024647/1597440, 7/20, -432061/46080, 
  355493/79872, -3869/10240, -43737/8192, -271/640, -1/20, 11195/3072, 
  -6817043/266240, -49/20, 121913/92160, 89087767/14376960, 166243/532480, 
  -38669323/798720, -344088877/14376960, -165/16, -299/192, -13675/1024, 
  18163/1152, 617/32, 54409/3072, -15/8, 43923/2048, 28591/3072, 1/2, 
  38087/4608, 1012333/36864, -63347/55296, -38017/3072, 322415/55296, 7/5, 
  -10873/15360, 367999/79872, 39319/10240, -5146949/319488, 119/160, 
  -2387/960, -13953/2048, -1129577/266240, -69643/2560, -488281/30720, 
  -268307509/4792320, -18725749/1597440, 7322481/266240, 238027859/4792320, 
  -2226001/190464, -33542771/15872000, 138189/62000, 232273/317440, 
  -97465903/23808000, -12073/1536, -2939/1024, -14951/6144, 1201/128, 
  -467/288, 379/512, -911401/53248, -372353/39936, 79689/6656}}
