{{1, 1, 1/2, 1/2, 1, 1, -1/2, 1/2, -1/2, 1/2, -1/8, 1/8, 1/2, 1/4, 1/2, -1/2, 
  1/2, -3/8, 1/2, -1/2, -3/8, 15/8, 17/8, -5/4, -11/16, -3/16, -3/16, -3/8, 
  3/8, -3/8, 1/2, -1/2, -1/4, 3/4, 7/32, -1/4, -3/4, 3/16, 3/16, 1/4, -5/16, 
  -1/32, -1/16, 1/2, -1/2, -1/4, 31/32, -15/32, 7/32, 15/32, 13/4, 37/16, 
  -7/8, -7/16, -47/16, 1/4, 1/8, -1, -5/4, 1, 9/8, 1/16, 5/4, 1/4, 35/32, -1, 
  -67/32, -15/16, 31/32, 1/8, 1/32, -1/8, -1/8, 7/32, 1/16, 1/8, -1/32, 7/16, 
  47/32, 1, 1/32, -19/16, 7/32, -3/8, 7/4, -11/8, 11/32, 5/16, -9/32, 1/4, 
  3/16, -2, 45/16, -35/64, -1/2, 71/64, 23/64, 9/16, -29/16, -35/64, 3/8, 
  -3/8, 41/64, 5/4, 11/8, 103/64, 11/32, -27/16, -115/64, 1/4, 3/16, -1/32, 
  1/16, -7/4, -189/64, -5/4, -35/64, -27/64, 19/8, 23/64, 9/32, 15/32, 55/32, 
  -15/64, -15/32, -3/16, -1/2, -9/8, 1/2, 21/16, 21/32, 1/4, 13/16, -21/32, 
  -21/16, -1/4, 5/32, -1/16, 5/8, -1/2, 3/4, -17/8, -11/16, -29/64, 19/32, 
  189/64, 29/64, -7/16, 13/16, 17/16, -87/64, -3/8, -3/16, 1/2, 7/8, -1/2, 
  -11/16, -5/64, -3/16, 37/64, 11/16, -5/64, 1/8, -1/4, -11/8, 3/4, 7/4, 
  -13/64, 5/16, -1, -17/8, -1/8, 1/2, -1/4, -23/16, -1/8, 7/64, 15/8, 13/64, 
  3/8, -7/16, 1/2, -1/2, -1/2, 1/2, -1/2, -3, 1/2, 1/2, 1/4, -5/4, -1/2, 1/2, 
  -1/2, -1/2, 1/2, -1/2, 5/8, 1/4, 3/8, 3/8, 13/16, 15/16, -13/16, 1/8, -3/8, 
  1/8, -1/8, -11/16, 1/8, 1/8, 5/4, 9/16, -11/16, -9/8, 1/4, 1/2, -1/2, 1/2, 
  -3/8, 1/8, -1/8, -1/4, -5/8, -33/8, -1/4, 1/4, -1/4, -3/8, -3/4, -13/8, 1, 
  1/8, 3/8, 23/8, 1/8, 1/4, 1/2, -3/8, 3/8, 1/8, 5/4, 1/8, 1/2, -1/2, 1/8, 
  1/8, -23/8, 23/8, 11/4, -1/2, 1/2, -1/2, 9/16, -5/8, -1/16, -5/16, 9/16, 
  -1/16, -3/4, 1/2, 3/2, -1/2, -3/4, 49/32, 1/8, -37/32, -71/32, 1/2, 71/32, 
  37/32, -47/32, -1/64, 5/64, 13/32, 49/64, -49/64, -45/32, 21/32, 1/16, 
  -1/32, 1/4, 49/64, 11/4, 3/2, -45/32, 21/32, -5/16, -199/64, -1/32, 3/4, 
  -53/64, 1/2, -3/4, 85/64, 3/4, -29/32, -95/64, 73/64, -73/64, -69/32, 
  17/64, 61/64, -1/2, -1/4, -17/32, -1/4, -3/4, -15/16, 1/2, 3/4, -1/2, 3/16, 
  27/32, 13/32, -43/32, -21/32, 1/2, 11/32, -1/2, -1/2, -27/32, -21/32, 1, 
  27/32, -1/2, 5/8, 13/8, 13/32, -11/8, -21/32, 11/24, -1/2, -13/12, 1/4, 
  -101/108, -665/216, 1/4, 307/24, 1/4, -341/864, -1/2, -833/864, -49/96, 
  -635/864, 317/216, 193/216, 57/32, -695/864, 13/12, -19/8, -1043/96, -1/4, 
  -65/24, -37/288, 149/32, 709/432, 3/4, 17/8, -15/32, -21/64, -33/64, 15/64, 
  -57/32, -11/4, 5/2, 3/8, -3/16, 7/2, -3/16, 3/16, -1/2, -1/4, 1/2, 1/4, 
  1/4, -3/8, -13/16, -35/16, -5/8, 63/64, 59/64, -69/64, -1/4, 1/4, -9/4, 
  9/4, -5/16, -5/16, 1/8, 5/4, 27/16, -3/16, -3/2, 1/8, 1/4, 1/8, 99/32, 
  -99/32, -2, -3/2, 99/32, 3/2, -59/16, 57/32, 15/4, -23/16, -27/16, -1/12, 
  1/12, -1/12, 5/24, 3/8, 1/6, 5/24, -5/24, -2/3, 11/24, 2/3, 11/48, -11/24, 
  -11/48, 7/8, -5/8, -2/3, 5/6, 7/48, 3/16, -19/24, -7/8, 31/48, 11/16, 
  45/64, 1/16, -41/64, -23/48, -13/48, 19/48, 73/48, -43/48, -7/4, 11/192, 
  -13/96, 2/3, 23/48, -31/48, 1/4, 23/16, -5/192, -3/8, 15/64, 1/2, 3/16, 
  -15/64, -11/16, 5/16, 31/64, -1/4, 13/64, 5/32, 105/64, -11/64, -17/32, 
  -23/64, 1/8, -77/64, 5/32, 1/4, 1/16, -3/16, 21/64, -1/2, 11/16, -25/64, 
  -1/16, -17/64, 5/16, 25/64, 3/16, -1/16, -9/32, 1/4, -67/64, 9/16, 11/64, 
  -1/8, -35/64, -3/16, 9/32, -1/4, 5/32, 19/144, 49/162, -1/96, -2749/5184, 
  755/648, -563/216, 2305/5184, 1033/864, -7/72, -101/108, 5/18, -1531/324, 
  -34411/5184, 1/2, 157/9, -229/648, -27/64, 1651/2592, 11059/5184, 
  12725/5184, -337/144, 445/2592, -5987/2592, -2873/2592, 913/2592, 31/64, 
  -35/64, -31/64, 35/64, 3/8, 1/2, 39/64, -35/64, 1/4, -1/16, 17/32, 45/64, 
  9/8, -67/64, -5/4, -9/64, -43/32, 9/8, 23/64, -19/32, 1/4, 55/32, -15/64, 
  -15/32, -1, -181/64, 1, 181/64, 3, 5/4, -181/64, -5/4, -1/2, 1/32, 29/16, 
  -107/64, -9/8, 3/64, -39/64, 57/32, 39/64, -21/32, 13/32, 53/32, -15/64, 
  -17/32, -5/144, 3/4, -103/144, 7/72, -41/144, -11/36, 103/144, 71/144, 
  29/144, -17/48, -59/72, 53/48, 11/16, 9/16, -1/3, -17/16, 3/8, -1/2, 1/2, 
  -3/2, 5/2, -1, -1/2, 5/4, 1/2, -3/4, 1/2, 3/8, -1/8, 3/8, 3/8, 3/8, -3/8, 
  15/32, -1/16, 5/16, -7/16, -17/32, 5/16, -13/24, -1/12, 2, 89/48, -31/24, 
  11/8, 3/8, 69/16, -1/16, -7/8, -13/16, -95/8, -7/64, -29/64, -25/64, 
  -13/16, -89/8, -55/64, -29/64, 23/64, -23/16, 255/32, 1/32, -217/32, 11/16, 
  -5/16, -3/4, -9/32, 19/32, 3/8, -9/32, -15/16, -7/32, 19/32, 19/16, -9/8, 
  -9/16, -1/4, 65/32, 25/16, -1/2, 1/2, 4/3, 5/16, 3/4, -3/4, -145/48, 3/16, 
  3/4, 4, -3/4, -3/4, -9/4, -9/2, 3/4, 13/2, -1/4, -235/24, -1289/48, 
  -8701/24, -349/32, 421/48, 595/32, 8659/48, -733/144, 27/8, -3/2, 27/16, 
  39/8, -3/2, 3/2, -5/4, -83/48, 83/48, 329/192, 47/288, -331/144, -1087/576, 
  41/72, 5/24, -1/32, 1/4, -137/96, -23/16, -1/2, -43/48, -1/12, -3/16, 
  35/32, 43/48, 11/32, 17/72, 11/6, 115/72, 41/72, 61/48, -7/18, -2/9, -4/3, 
  -85/144, 11/18, -37/32, -179/192, 125/64, 179/192, -51/64, 23/16, -7/6, 
  -221/96, -143/96, -45/64, 87/64, 59/24, -9/16, 3/8, 37/32, -17/32, -37/32, 
  5/32, 1/8, 79/64, -7/32, -21/32, -17/32, 3/32, 3/8, 1/4, -1/3, 1/12, 1/3, 
  -1/6, 1/12, 25/64, 33/64, -23/192, -1/2, 15/32, 29/64, 1/64, 21/32, 37/32, 
  -25/64, -21/32, 155/96, -1/36, 73/48, -163/48, 53/16, -105/64, -43/8, 
  -13/16, -135/32, 59/64, -7/32, -113/64, -3/64, 65/16, -13/16, 43/64, 7/32, 
  15/64, -3/4, -31/16, 7/16, -3/16, 25/64, -65/64, 25/32, 31/32, 57/64, 
  -9/32, 1/12, -1/12, -23/192, -5/32, 1/48, -3/4, -17/96, -103/72, 1459/192, 
  -6187/864, -133/144, 67/24, -1, 41503/864, 15/8, -1/48, 3023/864, 7999/864, 
  -1219/864, -3817/864, 9/16, 157/192, -5/12, -43/64, -3/4, -9/16, 31/24, 
  3/4, -1/2, 21/32, 15/16, 13/32, -43/32, -21/32, 3/16, -5/32, 67/64, -3/16, 
  5/16, -67/64, -5/16, -1/16, 1/4, -41/64, -9/16, -1/8, -1/12, 397/192, 
  -39/32, 1/12, 29/12, -295/192, 253/192, -125/48, -19/192, -127/64, 47/64, 
  -29/16, 67/96, 109/192, -305/192, -1517/864, 517/216, 10103/1728, 1753/432, 
  -2809/432, 6887/32, -2207/216, -92611/432, -2177/6, 11581/1728, 115/54, 
  12469/576, 189623/864, 3653/864, 49/96, 1141/432, 323/216, -65/108, 
  -461/216, 443/864, -55/24, -269/108, 3265/432, 9/8, 3/2, 3/2, -3/2, -3/2, 
  -39/16, -15/16, 3/2, 15/16, -5/12, 5/96, 3/4, 5/24, -19/24, 11/6, -7/12, 
  65/48, -35/48, 99/32, -3/8, 331/64, -391/192, -167/192, 3/2, -89/8, 13/16, 
  15/16, -525/16, 493/12, -337/32, -411/32, -953/192, -31/48, 119/192, 
  883/192, 5/4, 5/8, -3/8, -1/4, 6, -5/4, 449/36, -5219/192, 20585/288, 
  -3091/576, 27/16, 1/4, -1043/192, 69/16, -437/32, 51/64, -127/24, -761/72, 
  1317/16, -51/16, 145/64, -97/32, -7/16, 97/64, -51/64, -161/64, -3/8, 
  31/32, 129/32, 893/192, 3/16, 1469/96, 7385/288, 3409/64, 14347/192, 
  -2251/192, -93/32, 3/4, 117/32, 93/32, 279/64, 65/64, -39/32, -1861/192, 
  -59/64, -6559/288, -301/32, -47057/288, 5329/288, -1109/96, 5165/144, 
  -11725/576, -19019/192, 35/16, 3/16, 153/16, -549/64, 33/32, 909/64, 
  291/32, 8791/96, 1179/64, -2, -2, -1, -1, -13/8, -13/8, 7/8, -7/8, 1/8, 
  7/8, -1, 3/16, -3/16, -1, -5/16, -7/8, 7/8, -1/8, -7/8, 13/16, -1, 1, 
  13/16, -51/16, -51/16, 27/16, -29/64, 13/64, 13/64, 11/16, -11/16, 11/16, 
  -3/8, 3/8, 1/4, -5/8, -35/128, 1/4, 27/16, 1/2, -25/64, -1/2, -1/4, -13/16, 
  5/64, 77/128, 9/16, -7/8, 7/8, 3/8, -1/8, 1/8, -191/128, 79/128, -11/128, 
  -79/128, -85/32, -75/64, -1/4, -11/32, 33/32, 19/32, -3/16, 19/8, 9/4, 
  -19/8, -33/16, -11/64, -9/8, -29/32, -263/128, 19/8, 503/128, 41/64, 
  -239/128, -3/16, 13/128, 17/16, 3/16, 35/128, -11/64, -17/16, -85/128, 
  -27/32, -475/128, -137/64, 79/128, 75/32, -35/128, 1/16, 1/16, 1/2, -15/8, 
  11/8, 1/2, -221/128, 31/64, 371/128, -1/2, 23/32, -3/16, 17/8, -45/16, 
  187/256, -21/32, -1031/256, -139/256, -9/16, 29/16, 375/256, -3/8, 1/2, 
  -191/256, -9/32, -3/2, -137/256, 1/2, -221/128, -27/64, 141/256, -1/2, 
  23/32, -3/16, -1/256, -23/32, 103/64, 31/128, 1/2, 187/256, 211/256, 
  83/256, -139/256, -47/256, 157/256, -155/256, -85/128, 27/256, 1/2, 3/2, 
  11/8, -3/2, -15/8, -169/128, 5/8, -11/8, 161/128, 15/8, -5/8, 31/128, 
  -17/16, 3/2, -11/16, 55/16, 11/16, 103/256, -355/128, -927/256, -17/256, 
  3/8, -25/16, -17/16, 517/256, 3/8, 5/16, -3/8, -1, 3/8, 11/16, 1/2, 
  -153/256, 27/16, 3/16, 329/256, -11/16, -1/2, -15/8, -473/256, -1/8, 1/4, 
  3/2, -5/8, -7/4, 37/128, -49/32, -27/64, -663/256, 13/8, 35/32, 727/256, 
  -1/2, 1/4, 23/16, 15/64, 87/64, -145/128, -127/128, -3/8, 25/128, -1, 1, 1, 
  -1, 1, 6, -1, -1, -3/8, 19/8, 7/8, -7/8, 7/8, 7/8, -7/8, 1/8, 7/8, -17/16, 
  -3/4, -11/16, -3/8, -115/64, -9/8, 99/64, 13/16, -1/32, 11/32, -11/32, 
  25/32, 11/32, 11/32, -19/16, -41/32, 25/32, 47/32, -5/16, -7/8, 7/8, -1/8, 
  -7/8, 13/16, -3/16, 3/16, 1/8, 11/32, 13/16, 87/16, 1/8, 15/16, 1/8, 7/16, 
  5/4, 3/16, -13/8, 1/16, -7/16, -31/16, -3/16, -1/4, -1, 7/16, -7/16, -5/16, 
  -115/32, -7/16, -5/8, 5/8, -3/16, -1/16, 193/32, -193/32, -187/32, 7/8, 
  -7/8, 7/8, -51/64, 109/64, 1/16, 31/64, -97/64, 1/16, 9/8, -11/8, -9/4, 
  11/8, 9/8, -337/128, -7/16, 217/128, -1/8, 463/128, -11/8, -463/128, 
  -241/128, 319/128, 23/64, -3/32, -137/128, 7/32, 9/128, -359/256, 359/256, 
  331/128, -161/128, 9/128, 9/32, -23/128, -359/256, -463/128, -163/128, 
  331/128, -161/128, 1/2, 871/256, 9/32, -83/128, 77/32, -7/8, 11/8, -105/32, 
  -11/8, 203/128, 447/128, -5/2, 335/128, 1151/256, -89/64, -243/128, 19/32, 
  1/4, 17/128, 1/4, 5/4, 53/32, -19/32, -93/64, 19/32, -1/4, -143/128, 
  -79/128, 219/128, 111/128, -7/8, 25/128, 11/8, 7/8, 151/128, 5/128, -63/32, 
  -175/128, 19/32, -27/16, -183/64, -79/128, 25/16, 111/128, -43/48, 71/96, 
  335/192, -13/24, -397/648, 4609/2592, 23/24, 65/48, -13/24, 1501/2592, 
  79/48, 4771/2592, 95/384, -4541/10368, -2519/1296, -14113/5184, -1075/384, 
  12247/10368, -69/32, 151/48, 2855/384, 1/24, 1523/384, 1981/1728, 
  -2335/384, -39469/10368, -1/4, 1/8, -1, -81/128, 71/128, 17/32, -29/64, 
  103/128, 17/8, -11/8, -19/32, 13/64, -33/16, 13/64, 203/64, 1/8, -151/64, 
  -1/8, 151/64, 5/2, 1/16, -157/64, 411/64, -99/64, -631/128, 75/32, 161/32, 
  3/8, -3/8, 197/64, -197/64, 9/16, 53/32, -3/16, -171/64, -261/64, 25/64, 
  31/8, -7/16, 119/64, -7/16, -669/128, 669/128, 167/32, 59/32, -669/128, 
  -59/32, 193/32, -527/128, -173/32, 197/64, 243/64, -1/24, 1/24, -1/24, 
  -3/16, -23/48, -7/24, -3/16, 3/16, 15/16, -3/4, -15/16, 11/8, 3/4, -11/8, 
  -53/48, 25/24, 11/12, -29/24, -5/24, -3/16, 11/12, 7/8, -17/24, -11/16, 
  -1/2, -187/256, -27/64, 207/256, 1/2, 263/192, 1/3, -11/24, -19/12, 23/24, 
  7/4, -97/384, 217/384, -587/768, -263/192, 17/24, -1/4, -23/16, -41/384, 
  3/8, -17/64, -3/8, -3/16, 25/64, 11/16, 171/128, 363/256, -61/64, 1/4, 
  -1/2, 15/128, -177/128, 61/256, -27/16, 53/64, -23/256, 251/256, 1/256, 
  -73/256, -1/16, 1/8, 3/16, 49/256, 3/4, -11/16, 63/256, -1/16, 1/2, 
  -397/256, -33/64, -63/256, -1/2, -27/64, 1/16, 9/256, -1/4, 177/256, 
  -167/256, 35/128, -35/64, 9/32, 27/64, -41/256, 1/4, -9/256, -25/576, 
  -1343/1944, -97/384, 10577/62208, -983/3888, 6947/5184, -84857/62208, 
  -14321/10368, 5/18, -397/648, 275/144, 15269/3888, -103741/62208, 5/12, 
  -695/144, 1121/1944, 757/768, -127/15552, -197945/62208, 1853/15552, 
  2615/576, -45767/31104, 17519/15552, 221069/62208, 7693/31104, 11/32, 
  -143/256, 1/8, -187/256, 143/256, -1/8, 99/256, -7/32, -17/32, 63/32, 
  -367/256, -195/256, 3/8, 23/32, 9/32, -245/256, -193/256, -17/64, 71/64, 
  1/2, -321/256, 439/128, 419/256, -139/256, 53/256, -329/256, -155/256, 
  -85/128, 27/256, 23/32, 441/256, -23/32, -441/256, -1/2, -1/8, -65/32, 
  393/256, 1/2, 71/32, 3/4, 215/256, 1/8, -159/128, 165/128, 191/128, 
  -425/256, 235/256, 185/256, -155/256, -7/256, -91/256, -457/256, -31/128, 
  75/256, -25/144, -7/16, 11/18, 41/288, 1/2, 5/36, 917/576, -11/18, -1/2, 
  -571/288, 5/72, 11/144, 85/144, -8/9, -11/16, -25/72, 5/24, 17/16, -3/8, 
  3/4, 1, -1/4, 5/2, -21/4, 7/4, 1/2, -15/8, -3/4, 11/8, 1, 1/2, 1/2, -1/2, 
  -1, 33/16, 1/16, 1/8, -5/8, -5/8, -1/16, -3/16, -7/16, 7/16, 19/64, -5/32, 
  -3/8, -19/64, -13/32, -1/8, 599/288, -17/72, 3/8, -87/16, -1303/576, 7/9, 
  -23/16, 59/64, -467/32, 177/32, 121/64, -39/32, 319/16, 59/64, 245/128, 
  -3/128, -39/32, 649/32, 239/128, 245/128, -135/128, 805/128, -1/8, 
  -1569/128, -201/64, 83/8, -1/2, 33/64, 63/64, 1/8, 129/64, -227/128, 
  -63/128, 1/8, 77/32, 147/128, -227/128, -319/128, 5/8, -237/128, 3/8, 
  -341/128, 33/128, 3/8, -3/8, -7/72, -3/16, -21/16, 21/16, 557/144, -11/32, 
  -9/4, 1/4, 17/16, -7, -211/48, -9/16, 45/32, 49/8, 49/96, -41/8, 1/8, 1/16, 
  -1/8, -5477/288, 30107/576, 2101/18, 5139/128, 1067/576, -4185/128, 
  -15575/288, 11557/576, -81/16, -47/32, -153/64, -115/32, -47/32, 47/32, 
  1699/96, 503/288, -503/288, -871/576, 685/1152, 20/9, 349/192, -629/1152, 
  -301/288, 17/128, -39/16, 3103/1152, 253/64, 19/32, 1151/576, 265/288, 
  -123/128, -149/32, -1151/576, 45/64, -25/48, -2179/576, -1879/576, -43/48, 
  -1391/576, 2/3, 803/576, 2015/576, 553/576, -31/18, 229/128, 3289/2304, 
  -1119/256, -3289/2304, 661/256, -159/64, -17/144, 3367/1152, -1/8, 
  11129/2304, 225/256, -395/64, -1769/576, 919/256, -7/16, -311/384, 583/384, 
  311/384, -415/384, -37/64, 1/8, -679/256, 25/128, 95/384, 1/6, 671/384, 
  33/256, -2/3, -29/72, 35/72, -1/12, -13/36, 1/24, 1/24, -325/768, 1/2, 
  -43/256, 2059/2304, 143/256, -97/128, -137/192, -449/768, -341/256, 
  -187/128, 47/48, 231/256, -439/96, -47/216, -157/192, -773/96, -1303/192, 
  537/128, 27/2, 283/256, 2661/256, -9/64, -179/128, 301/128, 351/256, 
  -2939/256, 163/256, -173/64, -41/64, -207/256, 1/8, 61/128, 93/32, 97/128, 
  21/32, 421/256, -3/4, -13/8, -201/128, 1/128, -7/12, 7/12, 117/128, 23/192, 
  -17/192, -3/64, 1669/768, 37/432, 599/768, 46805/2592, -1463/864, -193/96, 
  113/32, -28067/2592, -119/16, -457/96, -64813/10368, -142109/10368, 
  10369/5184, 53393/10368, -57/64, -6107/2304, -85/288, 173/256, 81/64, 
  81/64, -131/288, -93/64, 19/32, -91/256, 27/64, -79/128, 219/128, 111/128, 
  -3/16, 3/8, 53/128, -131/256, 3/16, -37/32, 131/256, 25/32, 1/16, -275/256, 
  285/256, 379/256, 147/256, 7/48, -8113/2304, 537/128, -7/48, -1303/288, 
  673/768, -5065/768, 2669/576, 1843/768, 8113/2304, -2353/384, -137/192, 
  4121/2304, 371/192, 2079/256, 378775/10368, -5431/1296, 106469/20736, 
  -406333/10368, 64541/5184, -120959/1152, -41477/2592, 1334917/10368, 
  16829/144, -278417/20736, 191837/5184, -77465/6912, -538415/5184, 
  -177763/10368, -43/384, -16997/5184, -7241/1296, 9745/5184, 36725/5184, 
  -9283/10368, 187/192, 6865/1296, -13769/1296, -19/24, -171/64, -171/64, 
  171/64, 171/64, 33/8, 93/64, -171/64, -93/64, 3/4, -73/128, 47/64, -9/16, 
  81/64, -125/64, -41/64, -111/64, 3/16, -2251/384, 1613/192, 265/192, 
  -1825/384, -971/128, -4, 793/32, -171/32, -15/16, -107/32, 11947/64, 
  -83129/576, 559/64, 6327/128, 1, 41369/2304, -11183/2304, -713/144, 
  -8935/2304, -4, 1/16, -7/4, 11/16, 1/4, -81/8, 19/8, -56123/2304, 
  109631/2304, 3559/384, 33623/2304, -81/32, -7/8, 29657/2304, -923/64, 
  9361/384, 969/128, 17995/576, 47417/1152, -161/6, -431/64, -1035/128, 
  433/128, 1429/256, 25/256, 75/32, 559/256, 99/256, -33/16, -8581/384, 
  -151/36, -1/64, -54791/576, -45389/2304, -43391/1152, 377939/2304, 
  -44971/1152, 455/64, -629/128, -1539/128, -455/64, -1099/192, 3113/256, 
  14197/768, -5765/1152, -1121/64, 11477/384, 1853/128, 18007/1152, 
  -46753/1152, 29849/2304, -192109/2304, 44237/1152, 161245/2304, -2377/192, 
  -25/32, -1845/64, 12013/256, -289/128, -15151/256, 2405/64, -41233/144, 
  -2705/256, 5/4, 5/4, 5/8, 5/8, 7/8, 7/8, -7/16, 7/16, -3/16, -7/16, -39/64, 
  -39/64, 1/64, 37/32, -35/64, -19/32, 1/16, 7/16, -7/16, 3/16, 7/16, -9/16, 
  5/8, 39/64, -5/8, -75/64, 117/64, 31/32, -39/64, -21/16, 17/64, -25/128, 
  -25/128, -3/8, 3/8, -3/8, -7/16, 7/16, -7/16, 19/256, -61/64, -7/8, 51/128, 
  7/8, 1/16, 15/16, 53/128, -237/256, -7/8, 7/16, -7/16, -47/64, 3/16, -3/16, 
  145/256, -33/256, -45/256, 33/256, 275/128, 155/128, 9/128, 31/128, 
  -149/128, -39/128, 1/16, -31/16, -19/16, 31/16, 9/8, -21/64, 99/64, 39/32, 
  353/256, -31/16, -625/256, -77/64, 337/256, 1/16, 15/256, -75/64, -1/16, 
  7/256, -21/64, 9/16, -61/256, 33/128, 557/256, 79/128, 27/256, -13/16, 
  19/256, -1/16, -1/16, -3/16, -5/16, 1/2, -7/8, 5/64, -3/8, 25/32, 7/8, 
  111/128, 1/16, -3/4, -147/512, 103/128, 401/512, 147/512, 1/4, -283/512, 
  -3/16, 163/256, 275/128, -5/16, 259/256, -7/8, 5/64, -385/128, -257/256, 
  7/8, 111/128, -221/1024, 3/128, -49/128, -2099/1024, -149/256, -147/512, 
  305/512, 2073/1024, 147/512, 157/1024, -67/1024, 617/1024, 55/1024, 
  -21/1024, -3/8, -3/2, -1/16, 3/2, 7/16, 431/256, 43/64, 11/16, -287/256, 
  -7/16, -43/64, -97/256, 1/16, 13/16, -3/2, -5/16, -13/8, 1/4, -5/8, 47/256, 
  53/32, 785/512, 1/16, 19/16, -1/4, -37/256, -3/16, -7/16, -1/16, 7/16, 1/4, 
  -7/8, 123/256, 15/64, 97/256, -1/4, 7/8, -1/32, -157/256, 1/16, -7/16, 
  -1/2, -547/1024, 187/128, -51/256, -13/1024, -7/128, -71/128, 613/1024, 
  1/4, 51/256, -929/1024, 163/512, 15/1024, -7/512, 5/8, -5/8, -5/8, 5/8, 
  -1/18, -41/72, -15/4, 5/8, 5/8, 1/8, -11/8, -7/16, 7/16, -7/16, -7/16, 
  7/16, -3/16, -7/16, 1/2, 5/64, 3/8, 35/64, -639/256, -495/256, 655/256, 
  -29/64, 1/32, -11/32, 11/32, -197/256, -11/32, -11/32, 131/32, 935/256, 
  -197/256, -65/16, 1/16, 7/16, -7/16, 3/16, 7/16, -9/16, -35/64, -1/16, 
  -16/27, -1/18, 95/432, -185/864, -77/108, 337/2592, -1/36, -4/27, 
  -331/1728, 1235/576, -185/64, -509/432, 1225/432, 3293/1296, 1/8, -1/8, 
  -11/16, -167/64, 7/8, -3/16, 1/8, 27/8, 41/32, -39/64, -35/64, 1/64, -1/8, 
  1/8, 1/8, 199/64, 7/16, 3/16, -3/16, 1/16, -71/16, -39/64, 323/64, 319/64, 
  -7/16, 7/16, -7/16, -41/128, -343/256, 49/128, 287/256, -3/8, 21/16, 3/4, 
  -21/16, -3/8, 67/64, -25/32, -29/32, 3/16, -449/256, 21/16, 449/256, 37/32, 
  -353/256, -253/1024, 505/1024, -133/128, -5/512, 21/256, -21/256, 415/256, 
  -133/128, 443/512, -443/512, -5/512, 21/256, -221/512, -169/512, 415/256, 
  -133/128, 243/256, 995/512, -443/512, -507/512, -701/1024, 7/16, -3/4, 
  1149/1024, 3/4, 319/128, 3683/1024, 477/1024, -2879/1024, -2173/1024, 
  -3395/1024, 2207/1024, -1/128, 137/256, -3/4, -249/256, 1/128, 199/256, 
  -1/128, 1/16, 19/64, 15/64, -39/128, -15/64, 7/16, -27/32, -21/16, -7/16, 
  -15/32, 35/128, 169/128, 43/64, -1/128, 361/256, 429/256, 15/64, -51/256, 
  -15/64, -16/27, 119/432, 1225/5184, -8911/10368, 35/162, 521/243, 
  -15263/62208, -4691/1944, -27157/7776, 35/162, 2795/31104, 10321/7776, 
  -80435/62208, 2561/6912, 64135/62208, 659/972, 178343/124416, 113/3456, 
  -172999/124416, 12151/3888, -40645/15552, -247655/62208, 269/324, 
  -1507/648, -3371/4608, 289703/62208, 11609/3888, -1/4, -3/16, -75/32, 
  -13/256, 1/256, 121/512, -5/512, -65/256, -59/64, 45/32, 19/32, -25/128, 
  53/64, -25/128, 417/128, -29/32, 143/128, 29/32, -143/128, 107/64, 1/8, 
  135/128, 33/32, 151/128, -479/256, -543/512, 955/512, -1/8, 1/8, -207/128, 
  207/128, -5/16, -219/128, 1/16, 223/128, 195/128, -51/128, -85/64, 7/16, 
  3/8, 7/16, 945/256, -945/256, -265/64, -63/32, 945/256, 63/32, -497/128, 
  907/256, 205/64, -201/64, -207/64, 1/24, 1/24, 1/24, -1/24, -47/96, 43/96, 
  47/96, 11/8, -43/96, -49/64, 5/12, -43/96, -3/8, 3/8, 1/24, 1/6, 1/4, 
  -5/24, -1/4, 7/8, 11/64, 15/128, -119/128, -7/8, -853/768, -1/24, 1/24, 
  -5/24, 5/24, 1/2, 1093/3072, -649/768, 2083/3072, 829/768, -1/24, -1/4, 
  965/3072, 183/1024, -7/16, -375/1024, 1/4, 223/512, 521/1024, -627/1024, 
  -465/1024, 487/512, -75/1024, 19/256, -193/512, 627/1024, -5/1024, -93/512, 
  -387/1024, 5/1024, -7/32, -75/256, -7/32, -1/4, -101/256, 7/32, -7/8, 
  -53/128, 103/256, 101/256, 7/8, 5/256, 217/1024, 23/256, 247/1024, 
  -199/1024, 237/256, -411/1024, -5/256, 7/1024, 7/1024, -863/2592, 127/729, 
  2993/6912, 44213/93312, -1817/1458, 209447/124416, -55879/186624, 
  -149671/124416, -6617/11664, 521/243, -12275/15552, 9637/1944, 
  48613/186624, -4271/1944, -133873/23328, -12149/23328, -8963/6912, 
  43025/373248, 675107/373248, -1815091/746496, -44603/93312, 887993/373248, 
  910301/373248, -309257/82944, -504313/373248, -69/128, 1/256, -3/16, 
  -35/256, -1/256, 3/16, 173/256, -19/128, 1/32, 167/128, -261/256, -69/256, 
  -3/16, 111/128, 51/128, -1121/1024, 13/128, 29/128, 213/1024, -149/256, 
  -33/128, -167/512, 1321/1024, 147/512, 129/1024, -927/1024, 617/1024, 
  55/1024, -21/1024, -7/64, -135/256, 7/64, 135/256, 7/8, 33/64, -57/32, 
  -83/256, -7/8, 101/64, -5/16, -661/1024, -7/32, -51/128, -615/1024, 13/128, 
  69/64, -179/512, 2225/1024, -173/512, 405/1024, 437/1024, 45/1024, 
  -349/1024, -149/1024, 11/48, -65/96, 43/96, 275/576, -7/8, 19/96, 503/1152, 
  -43/96, 7/8, -11/288, -11/48, 19/72, 23/48, -139/288, -1/4, -19/72, 1/4, 
  -7/9, 1, 1/72, -1/18, -1/6, 1, -1, 1/4, -5/8, -3/2, 4/9, -1/18, -19/18, 
  29/8, -1, -1/8, 7/8, 1/4, -9/8, -41/36, -1/12, 11/12, 1/8, -43/12, 335/144, 
  -85/18, 733/1152, -5/64, 61/54, 545/576, 169/432, 11/32, 11/32, 1/32, 7/32, 
  1/8, -1/8, 5/72, 5/72, 19/512, 1/32, 1/16, -5/8, -315/512, 28661/3456, 
  -85/54, -25/16, -4723/10368, 4211/6912, -2873/864, 3647/3456, 1439/864, 
  59/256, -253/128, -25/64, 1279/512, 341/128, -1243/512, -591/512, 473/256, 
  1279/512, -67/32, -377/512, -591/512, 57/256, -169/32, 3/16, 371/256, 
  381/256, -249/256, 521/256, 83/64, -73/256, -489/512, -219/256, -29/32, 
  73/512, -489/512, 7/32, 149/256, -29/32, -119/512, -505/128, 175/512, -1/8, 
  -1427/256, 85/512, -1/16, 1/16, 517/432, 5/16, 21/32, -21/32, -1843/6912, 
  1/4, 1/8, -227/72, -449/96, 47/216, 79/288, 6439/2592, 467/576, -163/72, 
  35/1728, 1367/864, -3/16, -1/32, -39/64, -1/8, -432619/3456, -738781/6912, 
  13729/96, -117125/2304, 481111/6912, 248467/4608, -17921/216, -195361/6912, 
  39/16, 1571/432, 607/576, 4477/1728, 313/96, -365/576, -7/12, -3079/3456, 
  3079/3456, 23825/27648, 147/128, -3457/3456, -18341/27648, 61/512, 
  1703/3456, 23/512, 1, 1835/1728, 261/512, -1/128, -4675/6912, -1703/3456, 
  13/256, -53/128, 4675/6912, -49/512, 227/864, 6883/3456, 5911/3456, 
  215/432, 59383/20736, -2411/2592, -4279/10368, -15619/10368, -2641/6912, 
  3805/5184, -173/512, -5063/6912, 153/256, 5063/6912, -133/512, 289/256, 
  6569/3456, 2675/6912, 3/16, -8503/27648, -37/128, 689/1024, -1297/3456, 
  -423/1024, 1/8, -319/2304, -1183/2304, 319/2304, 895/2304, 103/256, -13/32, 
  377/256, 231/512, 607/2304, -1/9, -1439/2304, -1225/1024, 17/72, 11/108, 
  -7/432, -1/16, 1/8, 1/16, -5495/4608, -7/8, -147/512, -20569/13824, 
  -797/1024, 219/256, 5869/9216, 707/4608, 1131/1024, 521/512, -3601/9216, 
  -245/1024, -29933/13824, -95/324, 6881/10368, -18055/10368, -6937/13824, 
  1407/1024, -853/256, 1171/1024, -4847/1024, -675/1024, -101/256, 2327/1024, 
  -533/512, 2753/1024, 3083/1024, -247/1024, -471/512, -157/64, -7/32, 
  -1143/512, 357/256, 661/512, -127/256, -431/1024, 431/256, 257/512, 
  -327/512, -1265/1024, -9/64, 17/32, -17/32, -7295/9216, -29/384, -11/384, 
  229/256, 103837/27648, 5333/1296, -44641/6912, 21811/31104, 8317/1296, 
  8713/6912, -81935/10368, -26053/31104, 22/81, 229/432, 166879/31104, 
  8317/15552, 188545/31104, -44479/15552, -153/256, 1603/1728, 1127/3456, 
  -307/256, -147/256, -15/256, -205/432, 199/256, -1/128, 85/1024, 71/64, 
  15/64, -39/128, -15/64, -21/32, -29/96, 97/384, 169/128, -97/384, -85/128, 
  763/1024, -17/64, -771/1024, -91/1024, -269/864, -1281/256, -20177/6912, 
  -751/384, 8957/1536, 19205/6912, -1271/1536, 233/864, 19987/3072, 
  -1265/768, -126013/27648, -1581/1024, -154895/13824, 4780655/124416, 
  -1271/972, 3223207/248832, -1165529/31104, -10832/243, -3827855/62208, 
  -3932099/31104, -3120931/62208, 1120121/7776, 490565/31104, 1307309/31104, 
  8356255/248832, -1556803/20736, 17875/972, -9515/6912, -30431/31104, 
  27883/7776, -188591/124416, -125575/31104, 147451/124416, 29683/31104, 
  -6593/972, 50821/62208, 7819/1944, 177/64, 177/64, -177/64, -177/64, 
  -75/16, -123/64, 177/64, 123/64, 31/96, -229/768, -2137/1728, -35/96, 
  1321/2304, 511/192, 30923/10368, -1153/6912, -311/128, 3173/768, -1291/96, 
  1651/384, 30623/4608, 9553/1536, 31/8, -229/144, -895/144, -1/4, 17/8, 
  -262933/2304, 1037117/13824, -9047/512, -26909/768, -43/12, -22183/2304, 
  17773/2304, -53/256, -18635/3072, 261/64, -5/64, 57/32, -3/8, -1/16, 
  185/32, -11/8, 4972649/82944, 1793/1024, -2207683/41472, -451501/41472, 
  39/32, 9/8, -47561/6912, 110059/4608, -959/768, -142799/9216, -23435/1728, 
  671839/41472, 21623/3456, 44381/13824, 1135/1024, -1079/1024, -259/64, 
  -1213/1024, 429/1024, -85/64, -41/1024, 31/32, -11/128, 150551/27648, 
  -13/48, 984605/13824, 344299/82944, 211247/20736, -2052257/13824, 
  4501763/82944, 673/256, 2875/512, 1529/512, -673/256, 7853/1024, 
  -294611/13824, -64703/9216, 119447/27648, 325963/27648, -2188847/20736, 
  -219251/4608, 1175773/10368, 430211/10368, 98249/27648, 1774439/27648, 
  -2460001/82944, -296195/41472, 647/192, 29/32, 1447/256, -473323/4608, 
  983/512, 89425/1152, 412555/13824, 4392335/13824, 28961/4608, -1/4, -1/4, 
  -1/8, -1/8, 15/256, -15/256, -15/256, 45/256, 15/256, -15/256, -15/256, 
  15/256, -15/256, -15/256, 39/64, 45/256, 15/256, -75/256, -51/256, -13/64, 
  15/256, 135/256, 93/512, -93/512, -87/512, -57/512, -51/256, -67/256, 
  -15/256, 45/64, 1/16, -1/16, -85/512, -59/256, 87/512, 357/512, -15/256, 
  -45/512, 143/512, -267/512, -15/512, 53/512, -15/256, 117/256, 21/64, 
  31/512, -31/512, -1/256, -119/512, 121/512, -47/256, -39/64, 47/256, 
  157/128, 45/128, -9/512, -255/512, -33/128, 97/128, 21/256, -15/256, 
  -3/128, -47/256, 171/256, -171/256, -93/128, -15/256, 429/512, -353/512, 
  -69/512, 1/128, -13/64, -93/128, 171/256, 15/128, 1/16, 7/32, -1/16, 
  129/256, -5/32, -1/16, 1/4, 1/16, -1/4, -15/256, -123/256, 1/16, 5/32, 
  77/128, 65/256, -87/256, -1/16, -15/256, 105/256, 81/128, 121/256, -15/256, 
  -21/256, 461/512, 55/128, -25/256, -37/256, -93/256, 9/64, 195/512, 
  -207/256, -195/512, 171/256, 9/128, -31/256, -147/512, 1/16, -45/256, 
  157/512, -59/256, 63/512, -109/256, -51/256, 171/256, -65/64, -343/256, 
  -165/256, -15/128, 429/512, 103/256, 83/512, -69/512, -97/256, 13/64, 
  483/512, -175/256, -483/512, 123/256, -23/128, -683/512, 9/16, 15/256, 
  -141/256, 445/512, -11/256, 193/256, -221/256, 13/64, 197/512, 445/512, 
  -119/256, -43/128, -171/256, -23/128, -193/512, 21/256, 15/256, -23/128, 
  -499/512, -211/256, 117/512, -39/512, 7/32, -29/128, 3/256, 1/16, 11/16, 
  -3/4, -119/256, 45/128, 99/256, -5/16, 27/256, -79/256, 53/128, -5/16, 
  103/128, 97/64, -3/8, 175/512, 209/128, 231/256, -47/128, -15/16, 
  -609/1024, 47/256, 1/8, 1/16, -37/256, -23/16, 11/16, -171/256, -59/256, 
  45/128, 113/128, -25/128, 27/256, -79/256, 615/1024, -9/256, 51/256, 
  685/1024, -3/8, -3/8, -45/32, -89/1024, 231/256, -615/1024, 83/256, 73/128, 
  129/128, -47/256, 1/16, 5/8, -5/16, -5/8, 1/4, -129/256, -21/128, 5/64, 
  5/16, -235/256, 21/128, -91/256, -1/2, -1/128, 3/8, -13/128, -3/8, 71/512, 
  -773/512, 231/512, 243/256, 65/256, 73/128, 1221/1024, -47/256, -1/16, 
  1/16, 3/8, 1/16, 5/16, -3/8, -3/8, -15/256, -9/32, -47/256, -83/256, 
  117/256, 3/8, 9/32, 17/256, -71/256, 1/16, 45/128, -5/16, 59/64, 121/128, 
  231/1024, 229/512, 131/512, -407/1024, -121/128, -217/256, -387/1024, 
  -137/256, -193/256, -131/512, -73/1024, 193/256, 671/1024, 47/256, -47/256, 
  -85/324, -1/8, 62/27, -61/216, 1/72, -107/108, -29/36, -1/4, -53/216, 
  -493/1296, -493/1296, 7/108, 763/2592, -533/2592, 115/864, 85/324, 1/8, 
  1/8, -1/8, -5/12, -49/36, -1/108, 671/648, -5/72, 107/648, -11/54, 37/72, 
  119/108, 1601/2592, -1/8, -1/8, 1/4, -335/2592, 115/864, 1/54, 79/324, 
  -85/324, 29/108, 303/512, -15/64, 1/16, -1/16, -33/256, 1/16, -15/256, 
  -39/64, -107/108, -109/256, 5/27, 1717/2304, -355/256, -15/128, 295/256, 
  308501/41472, -26815/41472, -308501/41472, 14015/20736, 15/128, 15/128, 
  -15/256, 135/256, -45/64, -45/64, -45/512, -15/512, 225/512, -45/512, 
  135/512, 165/256, -165/256, -45/512, 165/256, -129/256, 3/8, 45/128, 
  89/512, -89/512, 1/16, 89/512, 31/512, -3/4, -27/256, 41/64, 1/256, 
  501/1024, 105/256, -501/1024, -75/64, -335/512, -15/64, 33/256, 15/256, 
  -93/256, 3/128, -45/64, 303/512, -15/64, 49/256, -393/512, -41/512, 91/512, 
  95/512, 49/256, -461/256, -323/512, 91/512, 35/32, 15/32, -45/256, 45/256, 
  -45/256, 45/256, 15/64, -45/128, -15/128, -15/64, 15/256, -15/128, -75/256, 
  135/256, 15/256, -15/128, -75/256, 27/128, -15/64, -15/256, -15/256, 
  211/512, -297/512, 1/16, -97/256, 59/256, 301/512, 39/32, -171/256, 
  -24979/5184, 114083/5184, -1303/41472, -238085/27648, -209/216, 
  184923211/2985984, -54785/13824, -1739399/373248, 71/54, 21848275/746496, 
  124491179/1990656, -213983/41472, 24772171/1492992, -83/432, 
  12216047/1492992, -4588331/746496, 42011/41472, 3281371/165888, 
  -117011/20736, -4670521/165888, 31067557/995328, -57289/41472, 
  -2374793/497664, -102419/20736, 13805207/497664, -86436019/5971968, 
  120863/41472, -866111/124416, -122207/20736, -43847/248832, 3983/5184, 
  4637237/373248, -5157293/373248, -127894811/5971968, 7259/3456, 
  -18994783/1492992, 4097/3456, 21465391/1492992, -436968545/5971968, 
  50387/10368, -142163/55296, -901/3456, -5210527/165888, 325/256, 
  -308501/41472, -325/256, 14015/20736, -15/256, -355/256, -15/256, 155/128, 
  -45/256, -15/512, 308501/41472, 15/512, -26815/41472, -15/512, 
  -308501/41472, 12719/20736, -325/256, -1059/256, -310931/41472, -169/256, 
  16607/20736, 45/256, 605/512, -308501/41472, -605/512, 7615/10368, 
  -195/512, -355/256, 985/256, -67/256, 295/256, 45/128, 91/64, 308501/41472, 
  -91/64, -18065/20736, 289/256, -39/256, 143437/20736, -15/512, 11095/20736, 
  -13/128, 308501/41472, -14015/20736, -75/512, -15/256, -15/128, 15/256, 
  -15/256, -45/256, -15/256, -308501/41472, 15/256, 50/81, -308501/41472, 
  75/256, 15/128, -278041/41472, -15/128, -14665/41472, 15/128, 308501/41472, 
  -15/128, -50/81, 255/512, 15/128, 51/256, -223/256, 15/128, -61/128, 
  -63/512, 308501/41472, 63/512, 177/512, -9/256, -57/512, 152345/20736, 
  39/64, -581/512, -41873/41472, -57053/124416, 85/648, 23101/3888, 
  -1198499/373248, -85/648, -85/324, -85/648, -85/648, -91/648, -11051/15552, 
  469/864, -219719/41472, 1411307/373248, 246071/186624, 40709/124416, 
  1787/3456, -39557/124416, 324725/186624, 85/324, 14015/13824, 315929/46656, 
  -190561/46656, -45/256, 45/256, 45/256, -45/256, 1/8, -1/8, -63/256, 
  47/256, -5/64, -5/16, -429/512, -13/128, 35/32, -1/128, -13/64, -601/512, 
  223/256, 601/512, -171/256, -7/64, 97/256, -307/512, -1/16, 33/128, 
  -511/512, 3/256, 275/512, 15/32, -43/256, 91/1024, 633/1024, -75/64, 
  93/512, 27/256, 895/1024, -85/64, 189/128, -2167/1024, -181/128, 231/512, 
  1301/1024, -131/512, 57/128, 105/128, -491/1024, -47/256, 895/1024, -85/64, 
  189/128, -2463/1024, -313/256, 231/512, 1301/1024, -131/512, 489/1024, 
  379/512, -491/1024, -221/1024, -271/512, -39/512, -5/64, 241/256, 139/256, 
  -557/512, -121/256, 303/512, 529/512, -17/32, 277/256, -229/256, 15/64, 
  -15/64, -15/64, 149/256, -15/64, -47/256, 177/512, -771/1024, -149/256, 
  87/1024, 149/256, 429/512, 125/1024, -71/1024, -27/1024, -117/1024, 9/64, 
  1107/1024, 359/512, -155/256, -625/1024, -669/1024, -657/512, -259/1024, 
  149/256, -897/1024, -723/1024, -71/1024, 319/1024, -117/1024, 42011/41472, 
  1262597/55296, -553993/62208, -162437/20736, -7006021/248832, 1/2, 
  -1694407/55296, 1318609/165888, 15575017/248832, 603029/497664, 
  16826747/1327104, -21314381/7962624, 175217/165888, -1160341157/23887872, 
  -343774967/47775744, 4050245/147456, -13406585/3981312, -43703/41472, 
  291891433/7962624, 1459/5184, 421067297/47775744, -293779177/7962624, 
  -35314829/1327104, 16826747/1327104, -1011646093/71663616, 301651/497664, 
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  1572099605/8957952, -3717401825/143327232, -630249877/4478976, 
  806742377/23887872, 5490671381/35831808, -17878715/1327104, 
  -1071423091/71663616, 493651/497664, 31936445/884736, -503405353/143327232, 
  -11878223/1327104, 3441683/1327104, 696727/124416, -204927353/23887872, 
  -1985/2592, -595824829/8957952, 2222314207/143327232, 599927257/8957952, 
  -711330823/23887872, -2058203119/35831808, 19262843/1327104, 
  1059962515/71663616, 18664285/1492992, -32147261/884736, 
  1404911953/143327232, 12044111/1327104, -319817089/11943936, 
  -140715679/2985984, 128562461/23887872, 119172251/2985984, 515/256, 
  -447/512, -343/128, 447/512, 171/256, -191/64, -7/128, -443/512, 1/16, 
  791/512, -131/64, 681/512, 651/1024, -2037/1024, 19262843/1327104, 
  1007194579/71663616, 18664285/1492992, -32147261/884736, 
  1510447825/143327232, 12044111/1327104, -319817089/11943936, 
  -134434615/2985984, 134721053/23887872, 118997291/2985984, 757/512, -49/64, 
  -149/512, -183/1024, 83/1024, 19262843/1327104, 1273973587/71663616, 
  23309473/1492992, -32150717/884736, 1376918353/143327232, 11157647/1327104, 
  -319817089/11943936, -150192679/2985984, 111206429/23887872, 
  118997291/2985984, 429/512, -313/128, -353/512, -69/512, 1/128, 
  17505467/1327104, 1101113107/71663616, 18664285/1492992, -30975677/884736, 
  1322610769/143327232, 12044111/1327104, -307219969/11943936, 
  -142797703/2985984, 144378845/23887872, 119522171/2985984, -231/128, 
  921/512, 111/512, 261/512, -223/512, -17422523/1327104, 
  -1059962515/71663616, -18664285/1492992, 30972221/884736, 
  -1404911953/143327232, -12121871/1327104, 288091009/11943936, 
  140540719/2985984, -101035421/23887872, -115381451/2985984, 215/128, 
  15/128, -15/128, -385/256, 45/256, 17422523/1327104, 1064441491/71663616, 
  7558249/1492992, -30972221/884736, 329774545/143327232, 12121871/1327104, 
  -285011713/11943936, -138032671/2985984, 104117021/23887872, 
  115066523/2985984, -371/256, 157693/20736, 53/128, 17573/41472, -85/512, 
  17422523/1327104, 1059962515/71663616, 18664285/1492992, -94451383/2654208, 
  1404911953/143327232, 12889231/1327104, -288091009/11943936, 
  -140190799/2985984, 129964445/23887872, 115556411/2985984, -903/512, 
  -15/128, -3079/10368, 169/128, -71/512, 17422523/1327104, 
  1068360595/71663616, 18664285/1492992, -98028343/2654208, 
  1249253713/143327232, 13112015/1327104, -288091009/11943936, 
  -140540719/2985984, 141535133/23887872, 115556411/2985984, -1413/512, 
  15/64, 303/512, 839/512, -169/256, -13/64, -1295/10368, 308501/41472, 
  223/256, 313681/41472, -171/256, 45/32, 3887/10368, -175/256, -239/256, 
  -12071/20736, -21139/2592, 9481/41472, 9923/5184, 13847/41472, 13/64, 
  -171/256, 796285/124416, -320219/93312, -17505467/1327104, 
  -493612243/71663616, -6774889/1492992, 30975677/884736, 
  -1433831761/143327232, -12044111/1327104, 261512257/11943936, 
  111578983/2985984, -23441245/23887872, -128140067/2985984, 
  -17505467/1327104, -493833427/71663616, -6774889/1492992, 30975677/884736, 
  -1433389393/143327232, -12044111/1327104, 228399937/11943936, 
  123052867/2985984, 129365411/23887872, -102810887/2985984, 89/1296, 
  -65/2592, -31/96, 5/32, -17505467/1327104, -640410835/71663616, 
  -18532111/1492992, 31335101/884736, -2211017425/143327232, 
  -13817039/1327104, 228399937/11943936, 131986039/2985984, 
  123626659/23887872, -102810887/2985984, -139073/124416, -6964087/746496, 
  -142211/7776, 873259/62208, 3/32, -3/32, -3/32, -1487/1728, 3/32, 
  835813/124416, -1/16, 845/2592, 1/16, 262757/31104, -11/48, 1/48, 1/16, 
  -17/48, -1/16, -3/8, 1/3, 3/8, 31/1024, 119/128, -17/1024, 161/1024, 
  -743/1024, -3/4, -131/192, -1/48, -1/24, -191/256, 19/48, -811/768, 
  -121/128, 29/768, -2369/3072, 1271/3072, 277/384, -1/48, 179/256, 193/256, 
  479/1536, -47/256, 895/1024, -89/64, 525/512, -2071/1024, -593/512, -3/8, 
  201/512, 703/1024, 57/128, -1157/1024, 235/128, -131/512, 921/512, 121/128, 
  89/512, 37/128, 131/512, -161/256, -193/256, -671/1024, 47/256, 253/2048, 
  5/16, 1/16, 321/512, 41/256, 3/8, 71/2048, -87/256, -37/64, -1345/2048, 
  -831/1024, -71/2048, 33/64, 467/1024, -253/2048, -207/512, 45/128, 
  -1239/2048, 23/1024, 369/2048, 329/1024, -117/2048, -467/1024, 47/512, 
  -47/256, 47/512, 5836841/442368, -317522965/71663616, 154481/165888, 
  -17692091/1327104, -1718455861/35831808, -1740269317/143327232, 
  30363965/884736, 4195100611/143327232, -11935247/1327104, 
  -40244779/11943936, -313505/124416, 450625777/11943936, 
  3852110831/71663616, -3176517643/71663616, 14915/15552, 
  -865581335/17915904, -1074090889/107495424, 441444937/429981696, 
  1653772739/143327232, -13180312979/214990848, -1455320791/429981696, 
  5634533159/107495424, 9723910819/71663616, -5222662123/71663616, 
  -9091894423/71663616, 1407947831/17915904, 3138215539/107495424, 
  -6354069481/214990848, -4456337507/53747712, 6049255825/35831808, 
  2119929007/53747712, -29/256, -61/256, 1/16, 39/128, 61/256, -1/16, 
  -49/256, 43/32, 193/128, 29/32, -169/256, -111/128, -201/128, -79/256, 
  -131/256, 2877/1024, -301/512, 343/256, -2307/1024, -3/8, 479/512, 
  -1607/512, 599/1024, 231/256, -991/1024, 709/256, 73/128, 129/128, -47/256, 
  17422523/1327104, 1059962515/71663616, 18664285/1492992, 17526203/1327104, 
  -721734301/35831808, 3196683313/143327232, -31580477/884736, 
  2703436453/143327232, 12930575/1327104, -288091009/11943936, 
  -139700911/2985984, -284965057/11943936, -343025225/7962624, 
  111299741/23887872, 114541643/2985984, 116512859/2985984, 
  -17533979/1327104, -1192722163/71663616, -19457437/1492992, 
  29541437/884736, -1301755537/143327232, -12046703/1327104, 
  296395777/11943936, 144092407/2985984, -52069949/23887872, 
  -113421899/2985984, 1661/1024, -11/512, -425/512, -195/256, 45/256, -1/24, 
  -41/486, 47/96, 41/486, -43/96, -330187/62208, -222137/41472, 25/192, 
  -6427/62208, -169/768, 422377/62208, 432667/373248, 1/24, 733/3888, 45/128, 
  -5/12, 167/384, 3/8, 802255/373248, -880919/124416, -1321963/93312, 
  -11564323/2239488, -5/48, -137/256, -73/128, 6856715/746496, 47/256, 7/12, 
  -611/512, -611/512, 75/512, 75/512, -3/4, 75/512, -335/1296, 
  7125923/746496, -685/1296, -1/72, -67/1296, -659100085/1492992, 
  658646197/1492992, 657575989/2985984, -652018741/2985984, 
  -662193205/2985984, 660170293/2985984, -658419253/2985984, 10/81, 611/512, 
  611/512, 611/512, 75/512, -75/512, 1025/2592, 115/864, -2365/2592, 
  -7807043/746496, 1715/2592, 685/1296, -666801781/1492992, 
  -666801781/1492992, -666801781/1492992, -666801781/1492992, -3/4, 
  -1097/2592, -1097/2592, 1967/2592, 5/16, 1/8, 1/8, 1/8, -666801781/1492992, 
  -666801781/1492992, 666801781/1492992, 1/8, 656425141/5971968, 
  663079093/5971968, 666277045/5971968, -659825845/5971968, 
  -657309877/5971968, 657627829/5971968, -659906485/5971968, 
  -664629685/5971968, -611/512, -611/512, -13/16, -611/256, -611/512, 
  -515/512, -75/512, -75/512, 75/512, 75/512, 75/256, -1/8, 6930083/746496, 
  6930083/746496, -85/324, 14/27, 662478901/995328, -665495605/995328, 
  491/324, -611/512, -75/512, -25/48, -7125923/746496, -115/432, -4177/864, 
  727/162, 664059445/1492992, -666543157/2985984, 361/288, 119/1296, 
  2639/1296, -669418549/1492992, 659580469/2985984, 529/324, 611/512, 
  -611/512, 611/512, 75/512, -75/512, -1/4, 115/864, -85/324, 
  -6149603/746496, 565/432, -115/432, 666414709/1492992, -377/648, -115/432, 
  11/27, -13/324, 203/48, 53/216, 1825/1296, -53/216, -46/81, -1501/1296, 
  46/81, -1825/1296, -2477/1296, 17/576, -7921/6912, 5893/6912, 21659/10368, 
  -7933/3456, 325/1728, 2395/2592, -7441/6912, 13511/20736, 1675/1296, 
  -335/144, 1675/1296, 2015/1296, 3505/432, -1/4, -77/1728, 75662269/2985984, 
  75413437/2985984, 1/128, -1/128, 1/128, 36067/27648, -1715/3456, 
  -5887/6912, 1931/3456, -4093/2304, -4591/6912, -105/256, 15/64, -15/64, 
  255/256, 15/128, 21133/13824, -1547/13824, 285/256, -2503/13824, 
  659836645/5971968, -659872717/2985984, -653592949/1990656, 
  -269732437/1990656, -217909447/1492992, -263913157/1990656, 
  -663023317/1990656, 653090965/5971968, 217768723/1492992, 59888077/5971968, 
  1252314061/5971968, -45/512, 16529/9216, -16529/9216, -1/16, 15953/9216, 
  17917/27648, -17917/27648, 16189/27648, 15/256, 308501/41472, -38845/41472, 
  -75/512, 75/512, -683/1152, -75/512, -10529/2304, 95957/27648, 5371/41472, 
  -455/4608, -16651/18432, -165/256, -308501/41472, 165/256, 1117/3456, 
  -75/512, 5/432, -5/432, -5/64, 115/864, 365/1728, 335/576, 1355/5184, 
  5065/5184, -665/5184, 5/432, 325/5184, -5/144, -1165/1152, 
  666482479/1492992, 116277647/4478976, -20147/20736, -3063/1024, -1005/1024, 
  -105/256, -425/1024, -331073/373248, -333419885/373248, -666907567/746496, 
  666527839/1492992, 33/256, -334106333/373248, -666618343/746496, 669/512, 
  667786471/1492992, -132419867/4478976, -651365557/5971968, 539/1728, 
  683067877/5971968, 277680683/3981312, 19325953133/286654464, 712861/41472, 
  -456981541/23887872, 277680683/3981312, 15552879373/286654464, 
  9293615/746496, 712861/41472, -769070405/23887872, -1539782123/35831808, 
  -11016077543/95551488, -3735796511/95551488, -720463/41472, 
  2375434513/31850496, 18301192495/35831808, -18146775665/573308928, 
  308501131/5971968, -10126646869/143327232, 4391/512, 68063522645/71663616, 
  68225325653/143327232, -41/16, -68559849173/143327232, 
  18343672783/35831808, 66190190933/286654464, -17986652273/573308928, 
  306191659/5971968, -10226024149/143327232, 18343672783/35831808, 
  68253319253/286654464, -18004008305/573308928, 306191659/5971968, 
  -10094454229/143327232, 18214447327/35831808, -68068281557/143327232, 
  -51399785993/191102976, 314519755/5971968, 15984891961/95551488, 
  -18257452495/35831808, 18275546225/573308928, -315091291/5971968, 
  10322882005/143327232, 18262631311/35831808, -67694566997/286654464, 
  -288192731077/573308928, 321034099/5971968, 15735655609/95551488, 
  18254863087/35831808, 75/512, 116497673273/573308928, 322083859/5971968, 
  -10364172565/143327232, 18254863087/35831808, -1055/1024, 
  115325301305/573308928, 322083859/5971968, -10221405205/143327232, 
  -107/256, 67931966549/143327232, 67505330261/71663616, -185/512, 
  -68018746709/143327232, 377729/373248, -18265563559/35831808, 
  48405901193/191102976, -351846599/5971968, 4167203821/7962624, 
  -18381065287/35831808, -68659077173/143327232, 46967046793/191102976, 
  -354485195/5971968, 143004577727/143327232, -18381065287/35831808, 
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