{{1, 1, -1, 1, -1, -1, 1, -1, 1/2, -1/2, 1, -1, -1, -1, 1, -5/4, -1/4, 5/4, 
  1/4, 1/2, -1, -3/2, -3/2, -1, 1, 2, 2, 1/2, -3/2, 1/2, 2, -1/2, 3, -1, 
  -1/2, -1/2, 1/2, 1/2, -1/2, -1/2, 3/2, -1, 3/2, -1/4, -9/4, -1, 1, 11/4, 
  -1/4, -1, 1/2, -1/4, -1, -1, -1/2, 1/4, 1, -1/4, 3/4, 1/2, -1/2, -1, -1/4, 
  -1/4, 3/2, 1/2, 5/4, -3/4, 3/4, -5/4, 3/4, -1/4, 1/4, 1/4, 1/4, -1/2, -1/2, 
  -1/4, 1/4, 1/4, 3/2, 1/4, 1/2, -1/2, -1/2, 1/2, -3/2, 3/4, 1, 1, -3/4, 1/2, 
  3/4, -1/2, 3/4, 1, 3/4, -1/4, 1/4, 1/2, 1/4, -2, 1, -1, -3, 1, 1/2, -1, -1, 
  -3, 1, -1, -1, 2, -2, -2, -1/2, -1, -3, 3, 3, 7, -1, 1, 1, 2, 2, 2, 2, -2, 
  2, 2, -1, -1/2, 2, 4, 5/2, -1, -4, -5/2, 5, 3/2, 1/2, 1/2, 15/2, -3/2, 3/2, 
  3/2, 3, -3, -3, -3/2, 3/2, 3/2, -2, -1, 2, -1/2, -3/2, 7/2, -1, 1, 7/3, 
  -1/3, 1/2, 5/2, 3/2, 1, -7/6, -1, 1, -5/2, -1/2, -1, 3, -2, 3, -1/2, -9/2, 
  -2, 3/2, -3/2, -3/2, 1, -1/2, -2, -2, -3/2, -1/2, 1/2, 1, 1/4, -5/4, 1/4, 
  -5/4, 1/2, 1/2, 7/4, 3/4, 1/2, 2, -3/4, -7/4, -1, 5/4, 1, -1, 2, -1, 5/2, 
  4, 1/2, -5/2, -1/4, -1, 1/2, 2, -3/2, 1/4, 1, 1, -3, 61/6, -1, 65/12, 
  89/12, -5/2, -113/12, -1523/24, 17/6, -2, -1, 3, 641/72, 559/24, -67/6, 
  -8/3, 1, -131/12, -737/24, 65/12, 119/12, 5/3, 517/8, -37/12, -2/3, 1, 
  11/2, 1463/72, 547/12, -79/6, -14/3, 1, -179/12, -103/2, 55/6, 113/12, 
  11/3, 1651/24, -7/3, -11/3, 2, -7/2, 547/12, -19/6, -11/2, -103/2, 25/6, 
  113/12, -9/2, 629/24, 1, -31/6, -13/3, 2, -3/2, 6, -8, 15/4, -1/2, -5/2, 
  -61/12, 1/2, 7/2, 7/3, -3/4, 9/4, -3/2, 13/4, -3/4, -19/4, -5/2, 31/12, 
  -13/4, -31/12, 11/12, -11/12, 1, 11/12, -11/12, -11/12, 3/2, -13/12, 
  -19/12, 11/12, -11/12, -11/12, -5, 3/2, 25/12, -13/12, -31/12, -1/2, 11/6, 
  2, 121/12, 29/12, -1, 1, -1, -1/2, 1, -1/4, 3/2, 7/4, -3/2, -3/2, 3/4, 3/4, 
  1/4, -1/2, 41/12, -9/4, -41/12, 1/4, 3/4, -3/2, -1/2, -1/2, -41/12, 1/2, 
  -1, -1, -1/2, -1/4, -1/2, 1/2, 5/4, -1/2, 1/4, 5/4, -3/2, -1/4, 21/4, 
  185/8, -65/6, -1/4, -211/12, 3/2, 1/2, -3, 73/36, 3/4, 1/4, 11/2, 511/24, 
  -35/12, -1/2, -5/3, -1/4, 8/3, -1/4, 1/2, 2, 1/4, -4, -1/2, 33/16, -31/32, 
  -11/12, 11/36, 11/18, -11/36, 11/36, -11/36, 11/18, 13/12, 3/4, 73/36, 
  -43/36, -5/9, -1/4, 2/3, 1, 7/2, 1/3, 1/2, -1/2, 1/2, 1/2, -1/2, 1/2, -2/3, 
  -2, 2, -9, 24, 289/6, -21/2, 96, 71/4, -14, 13, -12, 14, -1, -13, -60, -54, 
  -11/2, 133/2, 69, 1273/12, -110, -80, 73, -71/2, 1265/12, 39, 28, -63/2, 
  -8, 16, 77/4, -77/4, 37, 11, -11, 115/4, -3, 4, 1, 1, -4, 4, -5, -7, -2, 
  -2, 269/32, 133/8, -3/2, -3/2, 15/4, 7/2, 181/24, 823/48, 2, 35, -142/3, 
  1/2, -11/6, 1, 61/24, -61/24, 3/8, 727/48, -5, -1, 3/8, -5/8, 727/48, 
  -35/8, -1, -205/6, 4, 35, -299/6, 2, 11/6, -2, -3, -3, 1/2, -5/2, 153/2, 
  -81, 24, -70, -1739/16, 81, 1739/16, 3, -24, -151/24, 1, -151/24, -151/24, 
  11/2, -11/2, 13/2, -65, -829/96, 71, 1069/96, -15/2, -55/2, 55/2, -13, 
  289/24, 289/24, 3/2, -289/24, 24, -679/12, -679/12, 679/12, 5, -1015/8, -2, 
  939/8, -1903/18, -23/8, -127/8, 137/8, 809/36, 1/2, 17/4, 43/8, -91/16, 
  -1051/6, 605/96, 2201/48, 71, -65/2, 65/2, -425/48, -8527/176, -23/4, 23/4, 
  -425/48, -60721/1056, 9/2, -13/2, -175/3, 29/6, -3/4, -16/3, 3/2, -7/2, 
  25/6, -29/6, 3/2, -5/3, -71/4, 6245/72, 301/12, -22, 365/6, -493/24, -86, 
  -535/12, 7/4, -35/6, 219/4, 11/12, -9/2, 9/2, -11/12, -7, -5/3, 35/12, 
  43/6, 7/4, 7/2, -1, -8, -13/3, 1/2, -1/2, 1/2, -1, -1/2, -7/4, -3/2, 5/6, 
  -2/3, -3/2, 4/3, 5/3, 1/2, -3/4, 25/8, 1071/64, -25/16, -9/4, 25/4, 5/2, 
  -3/2, 79/16, 153/64, 5/2, 1/8, 5/12, -469/18, -247/72, 6905/396, 265/72, 
  239/9, 1/4, -27499/792, -349/72, 4013/264, -99/4, 1/2, 89/4, 1/2, -92, 
  -1/2, -39/4, -31/12, -3/4, 1, -7/6, -1, 7/4, 1, 1/4, -73/12, -1/4, -11/12, 
  -583/24, 8/3, 25/12, -29/12, -36, -668/9, 100/3, 9/2, 496/9, 8/3, 317/18, 
  -5/2, 3261/64, -3/2, -5671/288, -11/12, -27/4, -703/9, 95/6, 617/72, 1/2, 
  553/12, 139/3, -383/72, -124/3, -46/9, 59/12, -17/9, -1/8, 5/2, 1/4, 
  -163/32, 17/8, -5/2, 35/8, 183/16, 5/2, 205/16, -1537/32, 48037/576, 
  72685/576, -11/12, 11/6, -11/12, -11/6, -15/8, -167/24, -153/8, 167/24, 21, 
  13/8, 839/96, 10745/1056, -22589/1056, 31/12, 7/4, -4, 3/2, -1/2, -251/6, 
  -11/2, 14, 1279/48, 9/4, 5, 332/3, 3/2, -25, 380/3, -5/2, 9, 97/2, 
  -1585/32, -66, -273/64, -16351/192, -289/6, 211/24, -96, -41959/1056, 
  41959/1056, -3005/96, -71, -44089/192, -61/2, 15/2, -49, 893/12, -201/4, 
  -353/8, 147/8, 637/3, 875/12, 247/8, -26681/288, -1131/16, 47197/288, 
  7123/36, 1067/12, 1693/24, -12259/264, -1111/48, 11983/66, -1867/24, 35/8, 
  62561/1056, -1/8, -10675/352, -5/2, 2729/12, -73/2, 137/12, -7849/1056, 
  -195/8, 997/12, 8225/96, 392399/3168, 23, -11111/96, -91/2, 11519/96, 
  -10829/576, -1/2, -1/2, 1/2, -1/2, 1/2, 1/2, -1, 1, -1, -1/2, -1, 1, 1/2, 
  1, -1, 1/4, -5/4, -5/4, -1/2, 3/4, 1, -5/4, -1/4, -3/4, -3/2, 1/2, -3/4, 
  3/4, 3/2, -1/4, 3/2, 1, -5/4, -3/2, 3/2, 5/4, 11/4, -7/4, -5/4, -1/4, -1/4, 
  1/4, -5/4, -5/2, 2, 5/2, -3/4, 13/4, 5/4, -4, -2, 1, -11/4, -7/4, -1, -1, 
  1, 5/4, 5/4, -7/4, -2, -13/4, -7, 7/4, 6, 15/4, -1/4, 1/4, 1, -9/8, -17/8, 
  11/8, 13/8, -1, -3/8, -9/8, 7/8, 1/2, 3/8, -3/2, -9/8, 2, 9/8, -1/2, 19/8, 
  3/8, -15/8, 1/8, -1/2, -7/4, -19/8, -11/4, 7/8, 5/4, 37/8, 1, 15/8, -1, 
  5/4, 3/2, -9/2, -7/2, 7/4, -13/4, -7/4, 29/4, 2, -1/4, 9/4, 1/4, -5/4, 
  -7/4, 7/4, 2, 1/4, -3/8, -7/4, 7/8, 1/2, 3/8, -2913/16, -265/2, 7/4, 1, 3, 
  -1/2, 1/2, 11/2, -1, 1, 1, -2, -1873/18, -2161/36, -115/12, -380/3, 
  -1873/18, 1, -1, -5/2, 9, -9, -1/2, -109/4, 1/2, 1, -1, -1/2, -4, -1/4, 
  1/2, -4, -1/4, 15/2, 3/2, 21/2, 131/18, -109/4, -229/9, -56/3, -7, -2, -11, 
  -347/6, 1, -1, -3/4, 3/4, 3/4, 265/2, -355/2, 355/2, 355/2, -265/2, 177, 1, 
  -4, -2, -2, -2, -3, 3, 2, -2, -3, -5, -5, 5/2, 5, -1, -1, 1, 3/2, 1, 1, -1, 
  -1873/18, 1585/36, 3/2, -725/6, -115/12, -35/6, 367/3, 10, 2197/36, 
  1513/36, -1585/36, 9/4, 863/12, 115/12, 203/4, -253/2, 1, 1, -1, -367/3, 2, 
  -331/96, 331/96, 307/192, 247/32, -247/32, 279/32, -9, -9, 9, -9, 53/3, 
  -241/6, 9, 3/2, -3/2, -3/2, -3/4, 3/4, 3/4, -107/12, 107/12, -839/192, 
  -107/12, 107/12, -839/192, -9, 3/2, -3/2, -3/2, 1, 3/4, -3/4, -2, 1, 2, -8, 
  5/2, -19/16, 1165/36, -3/16, -5383/36, -4025/48, -1/2, -47/12, 19/24, -1, 
  99/4, -9/4, -31/2, 5, -5, 1037/16, 151/48, 1145/8, 149/6, 1897/24, 51/8, 
  -337/6, -33/4, -991/12, 169/4, 991/12, -34, 637/12, 497/6, -943/12, -269/6, 
  214/3, -214/3, -214/3, 33/4, 497/6, -34, -269/6, -214/3, 7/2, -1, -5/2, -3, 
  7/8, -33/8, -3/2, 13/8, 13/8, 4, -1/2, 7/4, -3/8, 1/2, -3/8, -1, -31/8, 
  -21/8, 15/8, 5/2, 11/2, -7/2, -17/8, 7/8, 7/2, -27/8, -1, 7/8, 5/2, 2, 3/8, 
  -15/8, -7/8, 3, 5/8, -5/8, 47/4, -89/4, -181/8, -3/16, -79/8, 101/18, 
  199/8, 37/2, 203/4, -227/12, 247/144, -4243/72, 4121/48, -29/4, -25/3, 
  -3457/72, 385/16, 1871/72, 3/16, 93/4, 287/6, -1943/72, -2461/72, -3977/72, 
  -9853/144, -175/144, 7165/48, -4121/48, -83/8, -857/36, -1537/36, 209/8, 
  145/8, 3/4, 231/8, 2041/36, -171/8, -37/2, -56, -10903/72, -65/72, 97/3, 
  -4073/24, -33/8, -1537/36, 147/8, 83/8, 2041/36, -149/8, -37/2, 10, 
  -8783/72, -27/8, -101/12, 41/36, 2473/40, -44773/320, 627/5, -91/16, 
  -45223/160, -123/20, -2249/16, 83/8, -1/4, 163/16, -11453/160, -631/32, 
  1411/40, -7831/40, -3/8, 635/144, 7985/576, -10525/576, -65/144, 109/64, 
  10, -10, -1/2, 101/9, -51/2, -395/36, 2, -39/2, 55/2, 45/2, -173/6, -3/8, 
  23/8, -5/2, -1, -1/2, 11/8, 11/8, -451/72, 107/24, 451/72, -17/12, 
  -533/576, 1349/576, 407/192, -745/576, -169/144, 5/12, 107/18, 10285/576, 
  -107/18, -10525/576, -5/12, -253/192, -4163/432, -95/36, -7/2, -3/16, 
  -29/24, 107/18, 1913/96, -107/18, -1913/96, -5/12, -253/192, -5293/864, 
  -95/36, -4451/576, -3/16, 541/144, -3/4, -815/12, 223/4, -35/18, -499/12, 
  -9, 1/4, -1/4, 1, 1/4, -1, 11/8, 9/4, -5/8, -9/4, -3/4, -17/4, -19/4, 3/8, 
  23/8, -629/72, 113/24, 629/72, -11/8, -19/4, -3/4, 23/8, -3/8, 611/72, 
  -11/8, -1/2, 19/2, 7885/144, -41/2, -223/6, -1897/72, -13/12, -1355/24, 
  -3/8, 1/4, -1/8, -3/2, 1, 3/8, 9/8, -7/8, 2, -3/8, -63/8, -19, 193/12, 
  -17/8, 11/8, 263/24, 13/8, -1, 63/8, -7411/144, 9/16, 19/8, -7/8, -107/8, 
  -2647/72, -59/36, 1129/72, 179/72, -15/8, -12721/144, 637/10, -1/8, -69/16, 
  163/32, -54401/320, -631/64, 1821/80, -8451/80, -7/8, -129/16, 3/4, 
  14443/640, -58179/1280, 17/12, 1913/288, 401/576, -1913/288, -1217/576, 
  -11/48, -470269/57024, 1067/432, -31/27, -101/48, -7/8, -1247/288, 473/144, 
  229/72, -1/8, -139/72, -1, -793/24, 26, 889/72, -18, -5/8, 5/8, -1/2, -7/4, 
  -27/8, 1, 5/2, 163/36, 1593/5, 3, -161/36, 1/2, -19/36, 271/8, 6575/64, 
  -3009/64, -12, -7465/36, 5/4, -192, -254471/6336, 242/3, 353/3, -679/6, 
  -193/3, 751/3, 977/2, 2191/6, 197, 6655/36, 299/4, -538/3, -1193/6, 144, 
  -45419/72, -473/2, -3637/9, -2659/6, 209/4, -45347/72, -48, -187/3, 491/4, 
  165/8, 5219/32, 18159/256, -139/2, -43457/704, 43457/704, 267/32, 
  -296359/3168, -37077/704, 37077/704, 267/32, -147041/1584, -33/8, 501/8, 
  33/8, 201/2, -201/2, -134/3, -2, -183/2, 3/4, -13/6, -16/3, 16/3, 251/18, 
  -251/18, 9, 27/2, -13, -8, 7, -16249/192, -45, -1975/18, -2689/36, 
  325931/320, 10063/80, 183001/80, -26471/320, 71/80, 19867/160, 97773/320, 
  -380495/14256, -1447/864, -202339/2112, -3197/96, 294199/6336, -3/2, 
  -111/4, 108, -73/18, -4183/36, 1/2, -31/12, -13/36, -1/2, -13/6, -2099/576, 
  2099/576, -384733/7128, -583/864, -1414711/19008, -3629/96, 466753/19008, 
  -385921/7128, -583/864, -1675345/19008, -3629/96, 736891/19008, -11/2, 
  -101/18, 221/2, 440/9, -275/6, 10, -1, 8, -6, 91/36, 6, -3/2, 5/12, 11/3, 
  3/2, 6, 20/3, -2, -9, -17/3, -549/4, 7843/64, 2053/8, 1319/32, -66533/192, 
  -12, 921/8, 313/24, -1981/8, -33947/192, 66725/192, 1523/12, 1439/12, 
  -1523/12, 12, 1351/384, 3017/1152, 773/18, -5669/576, 1351/384, 463/36, 
  3017/1152, 4763/96, -55/2, 73/2, -33/8, 124, 403/192, -250, -5459/64, 
  33313/96, 57/2, -75/2, 15, -304/9, -304/9, -11/2, 304/9, -12, 2347/18, 
  2857/36, -3/4, -2189/12, -8, 5, 6659/72, -121/12, -15275/72, 436/3, 103/20, 
  35881/160, -1099/160, 34615397/8640, -151/20, 207/40, -2993/160, 
  1776839/320, 1215395/9504, 3157/12, -135/8, 1913/96, -495/16, -1957/48, 
  1957/32, -495/16, 14617/288, -14617/288, -2569/32, -423167/1584, 41087/288, 
  -41087/288, 1893/32, 272147/864, 31085/288, -31085/288, 1893/32, 
  142243/432, -9, -18, 18, 1/2, -119/12, 155/3, -18, -9, -71/2, -269/8, 
  -59/12, 233/8, 9/2, 273/4, 75/2, 1907/24, 18, 149/8, -30541/72, 14/3, 
  -4703/72, -267/8, -223/24, 3541/72, -4253/24, -8443/36, 256/3, -1897/18, 
  -2797/36, -1421/8, 326059/19008, 13615/288, -18421/288, -197431/19008, 
  -467/48, 15035/576, -69125/1188, 267/16, 18047/4752, -613/288, 895/72, 
  11/8, -993/8, 55/8, -63/4, 174221/1152, -645/8, 1079/36, -11/8, 993/8, 
  -51821/2304, -1991/144, -3/8, 13/12, -1429/72, 1897/48, 1481/576, 61/8, 
  -16855/192, 31/16, -337/36, 1165/36, -7/9, 39311/288, 617/48, -599/4, 
  -3785/48, 9/4, -1809/32, 3189/64, 146497/160, -2729/128, 10869/80, 
  26127/160, 2, 16891/160, -3689761/640, 164261/640, 11, 38731/640, -1/4, 
  -177427/57024, 12725/1728, -41111/4752, -169/32, -505475/57024, 79/432, 
  19373/1188, 193/32, -9949/1584, -1, 179/8, 27, -2813/72, -1, 1, 185/8, -27, 
  1987/72, 44, 3, 76/9, -7/4, -1/2, -9, 56/9, 20003/1152, -705761/6336, 
  197/128, 10525/576, -782641/6912, -3599/1152, 605/16, -139/36, -12763/576, 
  12739/144, 615/8, -355/288, -2927/24, -63/8, -23611/576, 257/24, 287/24, 
  3/2, 41989/288, -411/16, 47903/576, 1879/72, -21/4, 1114/9, -167/48, 
  -3571/72, 37/16, 263/24, 170/9, 479/9, 449/36, 1667/72, 1897/144, -65/18, 
  -13681/144, 3/2, -443/40, 275/72, -691/40, 44493/640, 7943/320, -47/4, 
  -11869/480, 55861/320, 65/9, -1775821/320, 7932091/640, -138477481/17280, 
  -169965571/17280, -5915/288, -667/48, 317/12, 2023/144, 11/12, 73/36, 
  -6215/576, 3421/144, 143/72, 34823/576, -143/72, -16169/192, -2117/288, 
  1081/72, -819341/19008, 2457515/19008, -487/72, 9, -9, -15/8, 23/8, 2, 
  -3/8, 5/8, 4781/36, 1128623/28512, -26797/864, -27677/96, -101699/288, -4, 
  -275399/1152, 393/4, 1117/18, 36455/1152, 12, -196/3, 5185/576, 
  232799/1728, 1876837/12672, -333/4, -5787/128, 17/6, -1719/64, -66125/1152, 
  -8024977/28512, 3299/18, 8135/36, 8210305/28512, 144, 3100693/9504, 
  -801/16, -301151/864, -2767/48, 123917/396, 9, 2979/16, 1415/48, 
  -6007171/114048, -2979/16, 47/24, 67205/144, 1331/48, 4429/192, 821/8, 
  8963/96, -401/64, -70093/192, -23827/288, -1840299/160, -2073905/432, 
  1198961/64, -137361487/8640, -62289169/1728, -345463/5184, -362419/864, 
  -3093001/19008, 709159/2304, -13293769/76032, 232739/1782, -203/27, 
  -466139/19008, 1639/288, -9523/19008, 1, -18155/72, -103/4, 2339/36, 
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  201068412809345364727/160054784179200, 123696575914761542843/
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   1600547841792, -95766449653711262249/240082176268800, 
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  9152779/38016, 44855/3168, 37345/1152, -731/72, -28111/1152, 4230203/19008, 
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  4, 47477/576, -247/36, -82981/576, -17509/576, 8, -11/2, -49/18, 133/12, 
  -6581/576, -200887/576, 216572398282002211/6668949340800, 
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