{{1, 0, 0, 1, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16/3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9, 3, 3, -3, 6, 0, 
  7, 44, 3, -166/3, 46/3, -36, -23/3, 0, 0, -16, -5, -8, -8, -12, -27, -27, 
  0, -10, 0, -1, -11/2, 0, -20, -18, 0, -11/2, -10, -3/2, -2, -2, 40/3, -7, 
  77/2, -69/4, -6, 32/3, 7, -1/4, 0, 0, 0, 0, 8, 17/4, 1, 0, 1, -1, -6, 14, 
  24, -14, -24, 2/3, 0, 0, -1, 1, 0, -1, -3, 20/3, 0, 2, 0, -13/3, -12, 44/3, 
  0, -12, -55/2, 46/3, -2/3, 2, 0, -13/3, -3, 55/9, -7/3, -6, 8/3, 1, -2, 0, 
  1/3, 1/2, -3/4, 0, 0, 0, 1/9, -4, 0, 0, 0, 0, -131/27, 0, 7, 46/27, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8/3, -1/3, 0, 0, -5/3, 0, 14/3, 
  1, 0, 1/3, 10, 0, 0, 0, -16/3, 1/3, 0, 0, 0, 0, -1/3, 0, 0, 0, 0, 0, 0, 0, 
  0, 0, 39/4, 75/2, 0, 39, 77/2, 33/2, 63/4, -123/4, -38, -1, 0, 0, -1, -7/6, 
  20/3, -4, -45/4, 33/2, 5/4, -3, -13, 13/2, 159/4, 101/4, 2, 0, 0, 1, -18, 
  141/4, 20, -16, -49/2, -209/12, -1, 1, 1, -4/3, -13/4, 0, 0, -57/4, -21, 
  2/3, -2, 0, 2, 6, 3, 23/6, 0, 1, 23/12, -12, 28, 2, 182/3, -8, -14/3, 
  -10/3, -215/2, 45, 335, 981/2, 179/4, 51, 19, -329/2, -893/4, -565/4, 0, 0, 
  -7, -56, -166/3, -7/9, -1/3, 2, 1, -1, -1, -1, 1/3, -1/2, -5/2, 23/6, -1/2, 
  -1/2, 1/2, 7/9, 1/3, 3/2, -5/2, -1/2, 3/2, 3/2, 1, -3/2, -1/2, 1/2, 1/3, 
  2/9, -1/2, 7/2, -1/6, -2, -5, 6, -1/2, 0, -2, -1/2, 1/2, 1/3, 43/9, 2, 
  -40/9, 3/2, -1, 5/9, -5/2, 17/6, -1, -1/3, 43/9, 13, -43/9, -2, 0, -20, 22, 
  4, -20, 3, -17, 1/6, -1/2, -3, 0, -1/9, 3, 7/2, 6, -17, 1/2, 11/2, 2/9, 
  -3/2, -7/3, 0, 20, -5/6, 23/4, -293/36, 17/18, 3, -1/2, -29/6, -5, -1/6, 
  -7/2, -61/18, -2, 3, 0, 1/3, 5, 95/18, -20, -5, -67/18, 22, -1/2, -9/2, 
  -14/9, 1/2, -2/3, 16/9, -13/2, 185/9, -193/18, 43/36, 0, 3/2, 2, 0, 8/9, 
  -20, 7/2, 4, 22, -3/2, 1/2, 2/9, -3/2, -5/2, 16/9, -101/3, 589/18, -145/18, 
  70, 671/18, 1559/36, 197/6, 7/2, 32/9, -326/9, -185/18, 16/9, -317/9, 
  -1303/18, -233/6, -145/18, 2579/36, 671/18, 767/36, 317/9, 2663/36, 23/9, 
  -257/6, -2/9, -1/3, 1/2, -2, 1/2, 18, -23/6, 2, 2, 7/9, 2, 7/3, -1/2, -34, 
  -5/2, 18, 1, -3/2, -2, -49/6, 29/6, 5, 23/2, 4/3, -23/3, 1, 2/9, 1/3, 8/9, 
  -1/3, 23/18, 2, -16/3, -1/2, -7/2, -31, 49/2, 667/24, 15, 7/9, 37/18, 7/2, 
  -4/3, -301/54, -89/18, -5/6, 233/18, -10, 331/36, -19/6, 47/24, -193/36, 
  5/6, 2/9, 1/3, 2, 8/9, 7/6, 113/36, 0, 7/9, 2, -67/3, -11/2, -3/2, -281/36, 
  -1/2, -31, 57/2, 235/24, 15, 7/9, 37/18, -3, -4/3, 233/36, -47/27, 253/18, 
  25/6, 59/6, -19, 331/36, 17/12, 5/8, -193/36, 2/3, -1/6, 43/12, -23/6, 
  -47/12, 79/12, 0, 1987/72, -31/3, -2/3, 8/9, 40/3, -1/3, -14/27, 26/9, 
  -1847/36, -677/36, -529/72, -245/18, -1397/72, -4/9, 419/12, 121/72, 2/9, 
  1/3, 1/9, -2/9, -23/18, -5/18, -17/18, 1/6, 2/3, -10/3, -1/2, 13/18, 1, 
  2/9, -5/6, -1/3, -58/3, 37/2, 4/3, 41/3, -1/3, -32/3, 5/9, 17/9, 7/2, 2/9, 
  1/3, 77/18, -1/3, -17/9, -7/9, -2/3, -53/18, -5/6, -8/3, 50/9, 55/18, 22, 
  -29/2, 7/6, -22/3, -7/9, 121/18, -20/3, 67/18, -19/9, 2, 113/18, -34/9, 
  -9/2, -10/3, -161/18, 23/6, -5/9, 46/9, -2/3, 1/3, -3/2, -34/9, 38/9, 22, 
  25/9, 3/2, 1, -7/6, -35/2, -7/6, 1, 4/9, -23, -19/9, 37/6, 1/2, -5/6, 17/3, 
  2/3, -31/6, -131/18, -1/9, 13/18, 1/9, 23/6, -23/6, -134/3, -1/2, 251/18, 
  155/9, -277/6, -121/9, -289/6, 17/4, -2/3, 121/36, 3, -19/3, 2/3, -10/3, 
  -3, 20/3, 2, -65/18, 2, -3, -3, -2, 43/4, 50, 7/3, -2/3, 17/9, 1, 269/9, 
  7/3, -83/9, -5/2, 17/6, 29/6, -133/6, 59/6, 7/2, 97/6, -56/3, -65/6, 7/6, 
  0, -59/9, 199/36, -316/9, -49/36, -316/9, 139/6, 17/6, -275/12, 17, 653/18, 
  0, -305/36, 1379/36, -802/9, -29/9, -1543/36, -7/6, 0, 4633/36, -199/36, 
  3/4, 1, 25/9, -143/36, -21, -25/9, 9/2, 3, -61/3, -163/2, -7/2, -4, -34/9, 
  -59/18, -44, -67/18, -3/2, -1, 115/12, 65/2, 3/2, -3, -61/9, 43/4, 48, 
  61/9, 2/3, -410/117, -17/9, -1, 478/9, 23/26, -7/3, -124/9, -3191/351, 
  -599/162, -53/2106, 1, 7/78, 4/9, 31, 169/18, -410/117, -3655/351, 
  -10105/2106, -26113/2106, -37/117, -739/351, -1162/117, -9277/2106, 
  7795/2106, -25/12, 25/4, -7/4, -97/12, 1/2, 97/12, 19/3, -5, -167/12, 
  -53/12, 521/36, 227/36, -3/2, 11/6, -1/2, -11/3, -347/36, 653/9, 347/36, 
  -551/12, 653/9, 551/12, 44/9, 20, -44/9, -653/9, 653/9, -33/8, -347/36, 
  -1057/24, 1/6, -33/8, 3305/72, -2759/36, -3259/72, -617/12, -16/3, -239/24, 
  -14/9, 6325/72, 161/36, 3/2, -355/18, -121/9, -3/2, 191/9, -5/4, -23/36, 
  25/6, 1675/12, 55/12, -5/4, -881/12, 1381/18, 5483/36, 661/9, -3, 17, 2, 1, 
  1/2, 71/6, -3/2, -5/6, 151/18, -443/36, -149/36, -2/9, 37/6, -1247/36, 
  947/18, 871/72, 7735/864, 0, 110/9, 593/9, -7/6, 907/18, 3, 84, -122/9, 
  625/18, 0, -125/9, -409/18, 169/6, 421/9, -869/18, -58/9, 233/3, 1/2, 2/3, 
  -533/9, 143/36, 82/3, -2321/12, -267/2, -9269/36, -171/2, -451/4, -383/6, 
  2945/36, 332/3, -16/3, -199/18, 2000/27, 94/9, 598/27, -476/9, 0, -7/3, 
  -14/3, -26, -35/18, 1082/27, 47/9, 35/3, -65/27, 389/27, -1/6, 7/4, 1/2, 
  3/4, -25/12, 23/6, -3/4, -19/2, 7/9, -1/6, -7/6, 0, -17/6, 67/9, -23/6, 
  7/3, 7/9, 1, -2/3, 113/6, -3/4, -131/6, 139/18, 7/4, 25/12, 247/36, -4/3, 
  -5/3, -70/27, -263/18, 253/18, -5/9, -2537/36, 1373/27, 1921/72, 
  -18533/864, 5/12, 35/54, 1345/36, -5/12, -695/432, -35/54, -1345/36, 
  695/432, 11/18, 115/36, 0, -11/12, -77/54, 21/4, -1159/48, 1355/18, 
  9617/432, 2977/144, 69/2, -3637/288, 11/18, 29/12, -811/36, -11/12, -77/54, 
  21/4, 5/144, -2167/48, 692/9, 11099/432, -235/144, 3215/144, 447/32, -5/12, 
  -71/54, -35/54, -223/2, 5/12, 10849/432, 35/54, 41/6, -4651/144, -33/8, 
  -347/36, 4355/72, 245/24, -11503/216, -553/18, 23/2, 2695/72, -11/9, 
  -1145/18, -373/36, 20015/288, -2431/72, -11657/864, 5/6, 79/18, 517/36, 
  -4523/72, -273/8, 4301/72, -163/36, -5041/72, 6761/72, 2201/36, 2557/36, 
  467/36, -32777/864, 43/8, 11645/864, 5/6, 5/6, 1313/36, -4691/72, -3233/72, 
  4301/72, -973/36, -2485/24, 1559/24, 2543/36, 905/12, -2491/36, 24775/864, 
  2839/72, 67325/864, 47/18, 799/72, 1535/36, 7/6, 187/36, 49/27, -217/36, 
  2285/72, 791/36, 593/9, 4/3, -641/12, 1147/216, -1097/18, 455/24, 28/9, 
  -451/6, 23/3, -2, 721/36, 149/12, 1/6, -4057/72, -61/72, -4, 17/2, 301/6, 
  169/36, -929/36, -95/12, 105, 95/12, -7063/72, -77/3, -37/9, 1168/9, -61/2, 
  593/36, -1477/36, -2561/216, 49/2, 60, -41/9, -2735/72, -1493/36, 94/3, 
  1147/24, -193/12, -33/8, 0, -383/234, 31331/468, 379/36, 2/9, 367/117, 
  -7529/156, 1, 11971/1404, 14/9, 0, 813/52, -151/26, 7/6, 14041/468, -7/9, 
  -33, 118553/2808, 3275/216, -1, 10/9, -3343/54, 4249/216, -185/18, 295/27, 
  -143/27, -46/9, -2959/216, 421/54, -5/2, 1937/108, -12955/864, 335/216, 
  -695/108, 5/3, 1/6, -1/3, 1, 1, 23/18, -7/6, -23/6, -65/18, -2, 31/12, 0, 
  -29/6, -4, -1/2, 30, -77/4, 24, -1, 11/4, -22/3, 12, 43/6, 11, 23/6, 49/12, 
  -31/3, 31/2, -71/6, 40/3, -8, 19/3, -23/6, 7/9, 1, -23/12, -23/6, -161/54, 
  5/3, -3/2, 1/3, -1363/36, -1/2, 2, 103/36, -1/2, -18, -7/9, 559/9, 21/2, 
  3/2, 4583/432, 7/3, -5/3, 691/72, 13/3, -247/36, -568/9, -9545/864, -31/6, 
  -583/72, 473/864, 5/6, 79/18, 517/36, 7/9, -4247/72, -1069/72, 7/6, 
  4409/72, 65/18, 2, 653/36, -2029/72, -3, 2957/72, 1, -34, 169/18, -125/9, 
  8, 1/6, 2557/36, 467/36, -27/2, -54089/864, -40/3, -713/36, -187/8, -29/3, 
  695/36, 115/36, 7349/864, 145/12, 239/36, -3, -1045/36, 23/6, -3593/108, 
  316/9, 347/18, 101/36, -1283/9, -211/12, 605/18, 565/9, 143/36, -1217/9, 
  -3175/36, -449/6, 7183/18, 347/6, 515/12, 173/72, 3/2, 2023/36, 767/18, 
  -709/4, -1445/24, 239/12, 1421/36, 487/27, -10669/36, -9977/216, 3161/324, 
  -103/27, -6761/324, -3587/351, -52256/1053, 2369/156, -409/117, -31771/351, 
  -4856/1053, -16859/324, 133/6, 299/18, -115/12, -5/18, -767/72, -295/36, 
  515/27, -967/72, 221/36, -967/72, 6041/216, 539/18, 85/2, -5423/216, 
  481/27, -349/12, -503/54, -35/18, -55/3, 3323/108, 37/12, -5053/72, 451/72, 
  -17/3, -3677/48, 212, -286/9, -2135/18, -41761/216, 25667/432, 155/36, 
  98489/864, -4, -1631/36, -1051/9, -107/6, 15011/36, -3389/12, -241/24, 
  70091/216, -4873/12, -12305/72, 565/78, -1349431/5616, -18361/432, 
  -61133/936, 283157/1872, 141413/2808, -14143/702, 1883131/16848, 
  1026283/8424, 166895/2808, 26315/117, -1623299/11232, -2453161/33696, 
  -14405/5616, 32027/432, -35/18, 241/8, 29/18, 3593/36, 24253/432, 
  -5725/432, 559/36, -5465/72, -767/48, -541/36, -37/27, -2207/36, -2087/108, 
  17687/216, 46445/864, -17/9, 374/3, 14443/216, 23/4, -11783/216, -259/18, 
  31/6, -853/54, -781/18, -1783/72, -487/6, 33559/864, 23623/432, -5485/216, 
  -21793/216, 1093/24, -4787/144, -19279/144, -6659/16, -2555/144, -305/8, 
  1475/216, 12193/108, 1741/36, 2107/27, 27163/624, 1765/432, -143383/5616, 
  -473581/16848, 653321/16848}, {0, 1, -1, 1, 2, -2/3, 1, -1, -1, -5/6, 2/3, 
  -5/2, -3/2, 5/6, 3/2, 1/3, -1/3, 2/3, -1/3, -1/3, 2, -4, 2, 5/3, 1/3, -5/6, 
  -16/3, -2/3, 1/6, 20/3, 5/2, -4/3, 5/6, 25/6, 5/6, -5/2, -5/6, 7/6, 1, 
  -2/9, -2/3, 1/9, 4/3, 1, -2/3, -2, -1/9, 1, 1/2, 4/9, 29/18, -1/9, -20/9, 
  -13/6, -2/9, 11/18, 8/3, 2/3, -1/2, -2/9, -11/9, 8/9, 13/9, 5/18, -2/3, 
  5/18, -5/18, 3, 0, -3/2, -3, 0, -1, 10, -2, -5, 13/3, 10/3, 1/3, -8/3, 4, 
  -4, 5, -3, 2, 0, 0, -9, -9, 1, 9/2, 1, -2/3, -25/2, -1, -85/3, -6, -1, 4/3, 
  55/3, 7, -10/3, -15/2, 85/3, 35/6, 157/3, 53/2, -3, -11/3, -80/3, -46/3, 
  11/2, -35/6, -103/24, 3/2, -2, -2/3, 10/3, 3/2, -2/3, 2/3, -7/3, 7/3, 14/3, 
  -7/3, -14/3, 16/9, -2, -3, -5/3, 13/18, 1, -15/4, -61/12, 85/6, -1/3, -1/3, 
  7, 49/9, -97/6, 63/4, -8/3, -15, -8/3, -6, -16/9, 5, 6, -25/9, -23/6, 
  -13/18, -20/9, -43/3, -293/36, 56/3, -3, -11/3, -71/9, 19/2, 2/3, 2/3, 
  -1/3, -13/9, 3/2, 1/27, 1, -2/3, -10/9, 2, -77/54, 5/6, -65/27, -25/54, 
  2/3, 4/3, -2/3, -14/3, -4, 3/2, 8, 3/2, -2/9, -2/3, 59/18, 5/3, -15/2, 
  29/24, -79/24, 7/6, 2, -7/9, 4/3, 1, 2/3, 2/3, 7/9, 7/6, -2, 10/9, 5/2, 
  2/3, 7/2, 1, 2, 7/9, -14/3, -17/6, -2/3, 1/2, 7/18, 17/2, 5/2, -1/3, 10/3, 
  8/3, 5/6, -5/2, -5/6, 9/2, 9, -7/2, 1/2, 15, 37/2, 0, 0, 7/4, -18, -5/3, 
  -13/2, -11/6, -15/4, 7/12, 85/6, 25/3, 8/3, 239/12, 5/2, 8, 7/6, -29/12, 
  -265/12, -23/2, 4, -1/6, -1/2, -28/3, 7/2, -53/2, 173/12, 3/4, -77/3, 
  -28/3, -13/3, 13/3, 29/3, -3/2, -4/9, -19/6, 3/2, 347/18, 110/9, 1/6, 6, 
  23/2, -23/2, -33/2, 5/2, -9, -9, 103/6, 35/4, -14/3, 14/3, 31/6, 46/3, 
  51/4, 4/3, 157/12, -169/4, -45/4, 227/2, 807/4, 64, 91/4, 57/4, -333/4, 
  -156, -97, 3, -9, -6, -8, 221/6, -10/9, 5/9, 0, -1/2, 1/2, 1/2, -1, 5/9, 
  -5/9, -1/3, 1/6, -1/2, 13/6, 0, 10/9, -5/9, 5/6, -1/3, 7/6, 1/3, 5/6, 1/3, 
  0, 7/6, 0, 5/9, -5/3, -1/3, 13/18, 1/18, 1/3, 1/6, 7/18, -1/2, 2/3, -4/3, 
  13/6, -2/3, -5/9, 7/3, 5/3, -26/9, 5/6, 2/3, 25/9, -1/2, -8/9, -1, 5/9, 
  7/3, -7/3, -7/3, 0, 19/12, 29/4, -77/6, 5/4, 17/2, 13/12, 26/3, -5/18, 
  -5/6, 1/2, -1/3, 3/4, 13/12, 5/6, -1/6, 26/3, 5/6, -4/3, -13/6, -1/3, 5/9, 
  -11/12, -22/3, -25/18, 4/3, 25/36, 10/9, 1/3, -4/3, -11/9, -1/3, 5/18, 
  -13/18, -55/18, -1/18, 14/9, 19/12, 8/9, 2, 37/9, 25/4, -3, -17/9, -71/6, 
  -11/18, -17/6, -20/9, 11/18, 10/9, 80/27, -43/108, -185/18, -103/54, 77/36, 
  19/12, 7/6, -1/2, 2/3, 7/12, 29/4, 5/3, 2/3, -77/6, -7/6, 7/6, -2/3, -1/6, 
  -2/3, 80/27, 193/54, -253/54, -131/54, -293/54, -44/27, -311/18, -134/27, 
  13/18, 25/9, 71/12, 11/6, 80/27, 133/54, 167/54, -16/27, -163/108, -61/27, 
  -44/27, -100/9, -133/54, -265/108, 5/2, 15/4, 11/9, -5/9, 5/9, -5/4, 1/3, 
  -17/2, -1/6, 0, 0, 10/9, 5/2, 5/9, -5/9, 63/4, -1/3, -17/2, 5/3, -5/3, 
  -35/9, -19/9, 23/18, 2/3, 1/2, 5, -1/3, -5/3, 10/27, 5/9, 40/27, -5/9, 5/3, 
  7/3, -59/36, 1/6, -331/216, 187/12, -26/3, -271/18, -49/6, 35/27, -13/18, 
  13/18, -34/27, -199/54, -125/108, 1/3, 293/216, 10, 19/36, -23/18, 611/216, 
  -7/36, -25/18, 229/108, 7/18, -1, 40/27, 29/18, 1/3, -4/9, 10/9, 7/3, 
  229/36, 4/3, -61/216, 1, -1/3, 187/12, -27/2, -133/18, -49/6, -49/108, 
  -11/36, 20/9, -25/27, -35/18, -95/27, -227/27, -4/3, 167/216, 27/2, 5/18, 
  -7/3, 461/216, 13/18, -25/36, -5/18, 67/36, -9/2, -1553/216, -23/12, 1/3, 
  -367/36, 13/3, -10/9, -185/36, 15, -10/27, -20/27, 37/216, 1055/216, 
  137/108, 23/18, 103/36, -45/8, 65/54, -581/216, -97/24, 10/27, 5/9, 5/27, 
  -5/27, -5/3, -10/27, -35/27, 5/27, 5/3, -73/36, -1/3, -107/108, 4/9, 10/27, 
  -7/27, -10/27, 34/3, -49/6, 5/6, -157/18, -2/9, 17/3, 25/27, -1, 13/18, 
  10/27, -19/18, 91/18, -10/27, -53/54, -10/9, -5/3, 55/108, 1/2, -7/9, 
  11/27, 2/3, -131/12, 155/18, 1/3, 17/6, -35/27, 5/6, -2, 38/27, -1/18, 
  35/9, 41/27, -7/18, -49/54, -4/9, -7/18, 1/6, -35/9, 2/9, 10/9, 5/9, -1/3, 
  -11/3, 5, -23/3, 0, 3/2, 1/3, -10/3, 13/6, 25/9, 1/3, 5/3, 17/9, -19/9, 
  4/9, 1/2, 1/9, -1/18, 4/9, -79/18, 1/3, 4/3, -17/12, -4/3, 1/6, -1/6, 
  -119/9, -1/2, 49/9, 113/18, -211/18, -49/9, -110/9, 19/36, -10/9, 50/9, 
  2/3, -23/9, 10/9, -40/9, -2/3, 2, -1/3, -5, 5/3, 2, -3, -2/3, 10, -4/3, 
  -50/9, -10/9, 10/3, 2/3, -13/3, 10/3, -35/9, 4/9, 11/6, 13/18, 1/2, 59/18, 
  -3/2, -37/18, 5/2, 73/18, 43/18, -4/9, 43/12, -22/3, 116/27, -131/9, 
  116/27, -293/108, -2, -1423/108, -566/27, -103/54, 4/9, 203/18, 191/18, 
  238/27, -4/3, 7/4, -43/18, 4/9, -101/54, 62/9, 0, 1, 8/3, -11/2, 10/3, 1, 
  9/2, 1, -50/3, 3/2, 25/3, -7/6, -3, -55/6, -8/3, 37/6, -3/2, -1/3, 20/3, 
  5/6, -10/3, -3, -3, 10, -3, -8/3, 10/9, 5/18, -10/3, -2/3, -13/6, 5/26, 
  -10/3, -10/9, 25/54, 40/351, 367/702, 1/3, 4/117, 5/3, 25/18, 17/9, 5/18, 
  -25/54, 16/351, 1489/702, -176/351, 7/54, -685/702, 34/117, 1597/702, 7/36, 
  -7/12, 3/4, 37/36, -11/3, -37/36, -5/18, -13/9, -113/12, -95/36, 115/18, 
  305/18, -5/6, -31/9, 3/2, -1/9, -335/36, -103/27, 335/36, -799/108, 
  -103/27, 799/108, 1, -17/4, -1, 103/27, -103/27, 61/72, -335/36, -593/72, 
  89/4, 61/72, 149/72, 997/108, -617/72, 149/12, -2, -301/24, 5/6, -1829/216, 
  179/9, 5/6, -64/9, -47/18, 1/2, 67/9, -119/36, -233/36, -35/18, -16/27, 
  5/12, -119/36, -335/18, -311/54, 182/27, 413/36, -11/12, -53/6, 0, 5/3, -1, 
  13/2, 3/2, -25/18, -1/18, -29/6, 7/12, -10/27, 553/54, 263/12, -955/216, 
  2711/432, 11597/864, -20/3, 203/18, -257/54, -29/18, -1795/108, 15/2, -32, 
  -14, 10/3, 27, -95/9, 431/54, 11/6, 35/6, -41/18, -290/27, -613/18, 1/6, 
  5/2, 881/18, -55/9, 1291/108, 367/9, -5/9, 1715/18, 103/3, -535/36, -131/6, 
  -1529/54, 17/12, -20/3, -41/6, -319/9, 128/9, 139/27, 0, 7/2, -10/3, -20/3, 
  161/9, 1/3, -1397/54, 44/9, 50/3, -7/3, -85/27, -1/2, -7/36, -67/72, 1/4, 
  -187/144, 1/6, 11/144, -23/6, 32/27, -17/18, 2/3, 187/72, -43/18, 191/144, 
  -1/6, -53/144, -43/108, 2/3, -10/9, -79/12, 253/72, 301/36, 869/432, 85/36, 
  -5/144, 43/18, -20/9, -50/27, -100/27, -1031/108, -215/108, -76/9, 745/216, 
  505/108, -1909/144, -4033/288, 25/54, 25/27, -187/108, -25/54, -1663/432, 
  -25/27, 187/108, 1663/432, 55/54, 191/54, -1/2, -55/54, -55/27, 3269/216, 
  533/24, -2393/216, 2419/432, 2159/432, 2905/432, 4493/288, 55/54, 617/216, 
  -5/8, -55/54, -55/27, 3215/216, 31/24, 635/24, -973/108, 3091/432, 
  2347/432, 3823/432, 1331/96, -25/54, -191/54, -25/27, 293/54, 25/54, 
  6301/432, 25/27, 22/27, -341/432, 61/72, -335/36, -175/108, 21/8, 707/216, 
  -70/9, 113/36, 1723/144, -1/3, -283/216, 295/18, 12263/864, -1843/144, 
  -16411/864, 25/18, 31/12, 373/36, -61/36, -2581/72, 103/72, 527/108, 
  -1967/216, 2261/144, 67/9, -929/216, -233/12, 31405/864, 2371/432, 
  2971/864, 107/36, -13/12, 391/108, -221/36, -2699/72, 103/72, 1319/108, 
  -2327/216, 1181/144, 53/18, 163/216, -1247/54, 23885/864, 5467/432, 
  10195/864, 235/54, 167/72, 1145/36, 35/27, 19/9, 70/27, 175/27, -3515/216, 
  -7/36, 6, -149/36, -1369/18, -79/24, 163/8, 355/9, 131/27, 197/54, 21/2, 
  -10/3, -491/27, -2477/108, 5/4, 2101/108, -125/18, -15/2, 383/18, -295/27, 
  151/72, 1069/54, 131/36, -287/6, 0, 187/4, 49/3, -379/54, -731/108, -75/2, 
  1669/108, 883/36, 1139/108, 1171/216, 223/12, -4667/216, 221/12, -29/27, 
  280/9, -3287/216, -71/216, 499/72, 1/6, -1088/351, 1249/468, 175/36, 11/54, 
  1943/351, 913/117, 10/9, 4540/351, 20/9, 25/12, -259/2808, -5999/2808, 
  -7/216, -1072/351, -8/9, 473/27, -15475/702, -545/108, 17/54, 197/108, 
  215/216, 37/4, -343/108, -1195/108, -260/27, 29/36, -1109/432, 209/216, 
  -95/108, 115/54, -12689/864, 1861/216, -41/108, -85/36, 1/2, -5/9, 5/3, 
  5/3, 5/3, -10/9, -5, -5, -5/2, 2, 91/72, -161/36, -14/9, 17/9, -17, 95/12, 
  -43/6, -5/3, 347/144, -8/9, 1/2, -41/18, 253/18, 11/36, -49/48, -2/9, 
  -53/6, -19/18, 4, -89/18, 1/2, -1/6, 35/27, 5/3, -115/54, -5, -115/27, 
  137/27, -1, 5/9, 367/108, -5/9, 5/4, 71/12, -1/3, 17/2, -35/27, -1567/216, 
  13/6, 5/3, 8143/432, 10/3, -137/27, 3359/432, -3/2, -71/12, 1207/216, 
  6413/864, -10, -2927/432, -8285/864, 25/18, 31/12, 373/36, 35/27, 79/36, 
  -1241/72, 10/9, 583/72, 5, 17/6, 863/108, -629/72, 50/27, 641/144, -4/3, 
  97/6, -11/6, -149/18, -4, 5/18, -929/216, -233/12, -13/6, 1549/864, 
  -313/18, -35/6, 2311/432, 7/27, 11/2, 53/36, 13339/864, 445/36, -49/36, 
  -14/9, -350/9, -101/9, -97/9, -116/27, 335/18, 10/9, 332/27, -83/18, 
  -475/54, 1747/108, 40/9, -31/108, -55/108, -1883/54, -1133/54, 997/18, 
  835/36, 208/9, 7/6, 335/36, 182/27, -1291/36, 53/54, 89/12, 2027/36, 
  203/18, 3745/108, -4181/36, -125/9, 100/81, -3989/324, -100/27, 
  -15742/1053, 24013/2106, 502/351, 518/117, -62/39, 667/324, 53/6, 7/72, 
  -40/3, -25/36, 383/24, -13/72, -637/24, 281/216, -251/18, 281/216, 
  -6827/648, -265/54, 107/18, -3163/648, -35/54, 535/36, -173/18, -175/54, 
  -3227/216, 10397/216, 155/36, 208/27, 55/18, -2813/108, 3409/216, -271/27, 
  -149/12, 1675/72, -2317/27, 709/144, -11509/432, 14407/864, -62/9, 977/108, 
  -1757/18, -3881/108, 3325/108, -273/2, 167/72, 21227/72, -8257/108, 
  -24703/108, 405/26, -467/1404, -13007/432, -16387/1404, -25199/936, 
  -43687/2808, -8743/4212, -167119/5616, 9433/1872, 26147/2106, -14617/8424, 
  2547569/33696, 1214033/33696, 46757/4212, 18929/432, -41/18, 5/24, -311/36, 
  1691/216, 7655/144, 679/216, 691/54, 1223/108, 415/27, 377/12, -2011/216, 
  -319/12, -64481/432, 9349/432, 18187/864, -85/27, 1735/216, 9107/216, 
  37/18, -455/216, -26/9, -199/54, 4499/1296, -110/27, 41/6, -1369/108, 
  -123251/864, 1949/144, -14051/648, 24731/216, 3667/108, -1109/144, 
  -17587/216, -211/2, -53/2, -1031/72, 16049/648, 1021/18, 12083/108, 
  2861/162, 16583/2808, 1255/432, -7639/2808, 19571/4212, -273343/16848}}
