{{1, 1, -1, -1, 1, -2/3, -1, -5/3, 7/3, 13/3, 1, -7/3, -13/3, 2, 2, 2, -2, 
  1/3, -1/3, -1/3, 1/3, 1/3, 1/3, 1/3, 4/3, -1/3, -1/3, 10/3, 1/3, -1/3, 
  -4/3, -1, 1/3, 4/3, 1/6, 1/3, 5/6, 1/6, -1/2, -7/6, 1/6, -1/3, -2/3, -1/6, 
  -1/6, 1/6, -3/2, 11/6, 5/3, -1/3, 7/12, -1/3, -1/2, -1/6, 1, -1/6, 1/3, 1, 
  2, -1/6, 1/6, 7/12, -1/3, -19/12, -1/2, -2, -3/2, -19/6, 1/6, 5/3, -1/3, 
  -1/3, -3/4, 13/12, 25/12, 1/4, -1/2, 13/6, 1/2, 1, -5/6, -5/3, 7/6, 5/12, 
  1/6, 1/3, 1/2, -1/3, -2/3, 5/2, 1, 1/6, -3/2, 1/3, -5/3, 5/6, -1/6, -11/12, 
  -1/3, 5/6, 1/2, -8/3, -1/2, 11/6, 7/3, 7/12, -1/3, -1/2, 1/3, 1/6, -1/3, 
  -1/6, -1/2, -5/12, -1/6, -1/4, -1/3, -1/2, -5/6, -1/4, 1/8, -1/12, -1/24, 
  -1/8, -1/6, 1/8, 1/4, -1/4, -1/4, -7/12, 3/4, 17/12, 3/2, 2, 1/4, -1/4, 
  1/24, 3/8, -1/6, 1/4, 1/3, -1, -5/6, 1/8, -1/12, -1/12, 1/3, 1/3, -8/3, 
  4/3, -1/6, 17/6, -10/3, -13/6, 7/6, -13/6, 19/6, 7/6, -7/6, -5/2, 2, 2/3, 
  -2/3, -2/3, -1/6, 1/6, -1, 4, -10/3, -2/3, -1, -8/3, -10/3, 20/3, 22/3, 
  8/3, 1, -23/24, 16/3, -1/24, -4/3, 59/3, 21/8, 2, 17/24, 8/3, 37/24, -5/8, 
  -5/6, 1, -2/3, 5/24, 49/6, 1/2, -4/3, 23, 55/24, 2, 11/8, 17/6, 1/6, -7/24, 
  -1/6, 21/8, -41/8, 5/3, -59/4, -10/3, 3/8, 13/8, 133/12, 13/6, 1/3, 7/3, 
  -4, 2/3, -1/6, -9/2, 29/6, -7/6, -1/4, 19/2, 1, -1/3, -2/3, 1/12, -1/6, 
  -2/3, -3/4, -17/6, -25/6, 5/2, -7/6, 49/12, 31/6, 1, 1/3, -1/12, -7/6, 
  5/12, 5/6, -2/3, 13/2, -7, -14/3, -29/4, 8, -47/6, 5/2, 7, 57/4, -5/2, 
  -1/3, 1/18, -2/3, 11/18, -5/6, 17/9, 16/9, 1/3, 5/9, -10/9, 11/9, -8/3, 
  -16/9, 1/6, 1/2, 8/9, 1/36, 1/8, -1/12, -3/8, -1/8, -1/6, 1/72, -1/4, 
  -59/36, -1/2, -7/36, 25/18, -19/18, 8/3, -1/9, -13/36, -1/36, -1/72, 
  -13/72, 1/6, 11/12, -1/2, 5/6, -2/9, -19/72, 1/12, 2/9, -14/9, -4/3, -56/9, 
  32/3, 71/36, 5/36, 8/9, 205/18, 41/6, -12, -3/2, 1/18, -20/3, -2/3, 3/2, 
  -5/12, 1/4, -5/4, 37/12, 1/2, 29/12, -3/4, 7/6, 65/6, 5/4, 26/3, -17/24, 
  -5/3, 1/2, 1/4, 11/12, 1/3, 11/6, -1, -7/12, 1/12, -9, -9/4, -5/3, -11/12, 
  -9/4, -1/4, 19/24, 5/12, 1/12, -5/8, -1/6, -11/6, 5/8, -13/6, 7/4, 7/3, 
  -47/12, 3/2, -7/3, 19/3, 61/12, 5, 14/3, -1/12, -7/12, 1/6, 23/24, -7/4, 
  17/12, 3/2, -11/12, -5/3, 17/24, -1/4, -2/3, -1/6, -1/3, -5/6, 1/9, 5/18, 
  17/18, 1/18, 1/4, -5/8, 29/6, -49/24, -65/12, 61/12, -25/3, -43/3, -17/3, 
  -19/8, -7/3, 19/4, 5, -1, -1/4, 5/4, 23/6, 19/2, 7/6, -2, 19/3, -2/3, -1, 
  -5/12, -4/3, 7/4, -73/12, 61/6, 13/2, 25/24, 7/12, -11/3, 5/12, 3/8, 17/3, 
  43/24, -29/12, 43/12, -1/2, -163/12, -31/3, 11/24, -17/12, -3/4, -11/8, 
  -14/3, 73/24, 8/3, -7/2, 25/3, 14/3, 6, 11/8, 4/3, -137/24, -13, -4/3, 
  -5/12, -59/6, -31/3, 17/3, -19/6, -53/6, -32/3, -71/3, -23/2, 5, 35/3, 
  -5/12, -13/2, 21/2, 23/3, 1/6, 1/2, -5/12, 11/6, 85/12, 2/3, 73/6, 89/6, 
  -13/2, -12, 5/8, 65/12, -67/8, -130/3, -11/2, 3/2, 8, 9/8, -17/2, -25/8, 
  3/2, -41/4, -63/8, -3, -9/8, 13/4, 35/8, 9/8, 2/3, -3/2, -13/8, 3/2, 29/8, 
  11/6, 3, 61/8, -14/3, 43/24, -77/24, -211/24, -11/6, -1, 1, 1, 1/4, -17/8, 
  -31/12, 43/12, 25/6, 31/12, -19/12, -31/12, -1, -2/3, 43/12, 25/6, 31/12, 
  -1, -19/12, 1, -5/2, -1/12, -25/8, -17/8, 5/2, -23/2, -23/2, 115/24, 23/2, 
  -25/8, -31/12, 199/48, -14/3, 35/2, 25/8, 199/48, 8/3, -17/8, -5/12, 
  -187/24, -287/48, -14/3, 15, 17/8, -65/8, 283/48, 5, 67/8, 29/6, -29/6, 
  17/8, 65/24, 13/3, -25/8, -77/24, 139/8, 23/2, -1, -1, -1, 1, 1, -1, 5/4, 
  131/24, -25/16, -1/12, -7/3, 1/12, 167/24, 13/12, -329/24, -55/24, 89/24, 
  -25/16, -139/12, 109/8, 23/2, 57/8, 17/16, -1/12, -61/24, 1/12, 167/24, 
  7/3, -227/24, -55/24, 49/24, 305/48, 5/24, 83/8, 23/24, -1/12, 1/12, 1/12, 
  -1/12, -31/12, -25/8, -13/12, 8/3, 17/2, 19/6, 17/4, -1/6, -187/24, 1/3, 
  -1/12, -5/2, 191/24, 1/6, -9/4, -5/12, 197/24, 1/4, 143/12, 49/8, 23/4, 
  25/2, -1/3, -61/12, -19/12, 31/12, -311/24, 1/3, -9/4, -59/48, 191/48, 
  -17/3, -2/3, 43/8, 17/24, 31/12, -55/24, -5/2, 43/24, -1, 1/6, -13/2, 
  -281/12, -1/4, -93/8, 1/12, 143/12, 319/24, 23/4, 20, -1/2, -61/12, -19/12, 
  31/12, -89/24, 35/6, 13/12, 583/48, -113/16, -17/3, -63/8, 23/4, 17/24, 
  -1/2, -85/24, 73/6, -31/12, -23/24, -1/12, 133/12, -25/16, 1/12, -581/48, 
  7, -41/12, -1/12, 31/8, 1/12, -9/8, 53/24, 1/12, -153/8, 59/48, -1/6, 
  25/12, 1/12, -3, 389/12, 397/12, -35/12, 193/24, 1/3, 199/48, -91/3, 1/12, 
  191/24, 1/12, 63/8, -9/4, -1/4, -9/4, 1/6, 19/6, 49/8, 35/12, -61/12, 1/12, 
  -259/24, -1/12, 13/12, 4/3, -1/12, -1/12, -55/3, 1/3, -247/24, 31/12, -1/6, 
  -19/6, -39/8, 289/24, 1/12, -17/12, 83/8, -1/3, -5/4, -1/6, 1/9, -1/9, 
  -1/8, 1/16, -1/16, -1/8, 31/16, 1/4, 109/72, 19/18, -9/4, -10/9, -263/144, 
  -1/9, -1, 43/36, -1/18, -1/72, -85/16, 3/2, -1/3, 37/16, 25/72, -505/72, 
  -175/72, 455/36, -1/6, -491/144, 19/12, 97/9, -38/3, -89/8, 1/12, -1/12, 
  205/18, 2/3, 73/72, 47/36, -769/72, -32/3, -7/2, -25/8, -7/6, -65/8, 
  -17/24, -13/24, 17/8, -3/2, 21/2, -7/8, -17/24, 5/2, 107/72, -17/8, -5/2, 
  -107/72, -1/8, -1/12, 1/8, -1/8, 11/24, 5/12, -1/16, 1/24, 1/24, -1/12, 
  101/48, -59/18, 265/72, 1/6, 1/48, -271/72, -1/6, 121/48, 35/36, 23/12, 
  205/72, -8/3, 22/9, -1/6, -209/144, -21/4, -67/18, 481/72, 817/72, 35/36, 
  281/72, 5/72, 205/72, 47/36, 337/72, -73/6, 67/24, 59/72, 877/144, -25/8, 
  43/144, -1/9, 497/144, 401/72, 259/24, -347/72, 121/72, 443/144, 23/2, 
  -545/144, 445/72, -11/9, -49/12, -473/72, 1283/72, 103/36, -685/18, 257/72, 
  1009/72, -143/36, -761/18, -1051/36, -361/288, 69/16, -5603/1152, -95/36, 
  39/16, -139/24, 247/96, -167/48, 1409/288, 47/8, -11/384, -361/288, -25/6, 
  -15/16, 11/16, -4565/384, -95/36, -163/48, -641/36, 677/96, 77/16, 
  4279/288, 253/18, -9181/1152, 139/96, -32/3, -11/16, 73/288, 649/144, 
  5947/384, -71/6, -47/16, 1211/36, 53/6, -181/18, -661/144, -4139/288, 
  -1211/36, -1285/1152, -121/32, 3161/288, -3593/1152, -1133/144, -58/9, 
  121/48, -41/6, 7657/144, 2765/72, -485/384, -7/2, 443/72, -343/36, 803/36, 
  1297/18, 625/18, -38/3, 371/36, 2209/36, -39/4, 749/72, 1559/18, 515/36, 
  -3545/72, -767/18, -73/32, 275/72, -71/18, 1115/288, 2503/144, 2863/1152, 
  -547/72, -889/144, -34/9, -1/12, -4/3, 755/36, 6703/144, 1183/36, -325/384, 
  -73/32, 467/72, -95/72, 1235/288, 917/72, -2729/1152, -547/72, -709/144, 
  -145/144, -1/12, -5/3, 815/36, 7645/144, 1177/36, -389/384, -49/32, 
  -95/144, 343/72, -101/96, -346/9, -21625/1152, -17/36, -371/72, -1481/48, 
  253/48, -1439/144, -6461/144, 351/8, 1603/24, 28369/1152, 275/96, 
  -3689/288, 6761/1152, 427/72, 1735/144, 1/3, 13/3, -7297/144, -2585/72, 
  485/384, -1/32, 73/18, 343/144, -4151/288, -1105/72, -12419/384, -157/72, 
  -299/144, -4349/144, 35/4, -209/36, -311/16, 2965/144, 769/16, 19009/1152, 
  -137/32, -43/8, 8977/288, 103/72, 341/384, -85/18, 11/2, -1687/72, 1/24, 
  1/2, 1107/16, 1123/36, -485/384, -137/32, -157/24, -5, 8353/288, 92/9, 
  4229/384, -85/18, 59/24, -1813/72, 1/24, 1/6, 113/24, 1083/16, 1117/36, 
  -247/128, -17/3, -136/9, -343/72, 490/9, 1363/36, 953/18, -77/8, 473/72, 
  2419/72, -167/12, 7/9, 247/6, 1465/24, -418/9, -1663/36, -55/288, -485/288, 
  -1219/144, 17/8, 55/288, 25/32, 485/288, 1219/144, -25/32, 139/96, 13/9, 
  -343/144, 5/16, 815/48, 16093/1152, 14/3, 227/144, 133/144, -25/4, 
  1361/288, 307/18, -25, -6685/144, 171/128, 139/96, 1333/288, -343/144, 
  -17/96, 10177/1152, 67/6, -157/24, 37/24, 5137/288, 5689/288, -197/12, 
  71/128, 139/96, 2261/288, -493/48, -17/96, 10177/1152, 67/6, 37/12, 17/4, 
  -157/24, -121/72, 4729/288, -8911/288, -39/2, 11359/1152, -55/144, 
  4819/288, -485/144, -3433/72, 55/144, -1513/24, 485/144, 2639/24, 
  13337/288, 19/8, -229/48, -7/72, -371/48, 35/16, -1/6, 107/48, 19/72, 
  -21/8, -55/8, -79/24, 21/4, 827/72, 1/4, -23/18, -59/24, 233/24, -1/3, 
  1525/144, -41/16, -23/36, 59/72, 5/8, -337/24, 43/36, -121/48, 3/8, 91/36, 
  -1/12, 379/48, 1/12, -17/9, -61/16, -1/12, 533/144, 11/4, 51/8, -1/6, 
  265/72, 7/3, 1/12, 1/8, -251/24, 1/3, 1/12, -1/8, 1/8, 37/24, -11/24, 
  -5/12, 1/16, -1/24, -1/24, 245/96, -64/3, 69/16, 107/96, -8/9, 6143/144, 
  217/288, 2197/128, 1961/128, -271/12, -383/48, -713/48, -11803/144, 
  -169/96, 9/2, -325/72, -329/96, 9397/288, -63/4, -1549/72, -10421/288, 
  -22577/1152, 1759/144, 1193/144, -1583/48, 565/72, -619/96, 4501/384, 
  -16033/1152, 757/32, 491/384, 1/4, 461/48, -25/16, 343/16, -713/48, -1/12, 
  -205/12, 1/12, 77/16, -53/4, 22/3, 35/6, -305/48, -9/8, 3/16, 5/12, 
  -523/48, -5/3, 301/48, 1027/48, -109/16, -245/48, 1565/48, 329/48, 151/48, 
  -25/4, -7/2, 49/4, 89/24, -23/24, -57/32, -40/3, -137/32, 5857/288, 
  305/144, 7609/288, 9247/1152, 943/128, -419/36, -53/8, -385/72, 929/72, 
  -709/72, -37/12, -79/24, 9/32, 87/8, -1/3, -5149/288, 5117/72, 22475/384, 
  691/72, 2063/72, 183/4, -25/8, 17/6, -485/384, -7487/128, -2699/72, 71/128, 
  1/12, 2309/288, -299/288, -269/288, -2425/288, 83/9, -337/144, 1/12, 
  -861/16, -1/12, 23/8, 49/24, -1/12, -5369/288, 107/96, 61/72, 265/144, 
  485/72, -121/18, 1637/144, 3271/72, 53/72, 85/8, -107/96, -1/8, -325/36, 
  -115/288, -679/72, 451/72, -7/96, -1891/48, 25001/1152, 29/8, 3/2, 977/72, 
  51/8, 17/9, -2687/72, -5177/144, -127/4, 3167/1152, -317/72, -601/72, 
  539/36, -499/72, -1567/72, -83/9, 311/18, -41/2, -283/36, 2/3, 35/9, 
  -1037/72, 745/72, 209/72, 64/9, -145/36, 37/3, -25/2, -211/24, 59/72, 
  -139/96, 83/16, 3655/288, 731/72, -62713/1152, -121/18, 1/4, -129/2, 53/12, 
  -23/3, 3715/144, 3059/72, -71/128, 139/96, 3013/288, -493/48, 817/288, 
  4877/96, 1833/128, 109/18, -73/72, 671/72, -53/9, -103/24, 22213/288, 
  -2797/48, -799/18, -58577/1152, 2621/144, 857/24, 33/2, -18745/144, 
  -917/12, -47471/576, 2351/72, -155/24, 569/36, 55/4, -733/24, -4657/72, 
  -9271/36, -2723/36, 20695/576, -49/16, -2489/144, -2729/144, -19/72, 
  -5711/288, -8621/576, -653/24, 3065/36, 1817/36, 253/12, 2783/144, 
  17707/288, -1615/32, -6941/72, -6337/64, 4/3, -8/3, 79/24, 17/6, -107/24, 
  27/8, 41/12, -103/12, -113/24, 43/8, -13/12, -155/24, -43/8, -1/2, -151/48, 
  6191/288, 13/16, -7267/288, -683/48, 487/72, -335/6, -3805/36, 47/8, -89/6, 
  -24673/288, 9349/288, 1559/18, 707/12}}
