{{1, -1, -2, 1, 1, -2, 2, -1/2, -1, 4, -3, 4, -4, 1/2, -2/3, 4/3, -4/3, -4/3, 
  2, -2/3, -1, -11/3, 1, 2/3, 1, 2/3, 4/3, 1/6, -4/3, -1/2, 4/3, -1/6, -2/3, 
  4/3, -4/3, 2/3, -2/3, -11/3, 2/3, 1, -8/3, 4/3, -2/3, 2, 29/6, -2/3, 4/3, 
  -4/3, 4/3, -8/3, 1/9, 1/9, 1/3, -1/9, -4/9, -1/9, -1/3, 2/9, 8/9, -1/9, 
  -4/9, -2/9, 1/18, 1/9, -1/9, -1/3, 13/18, -2/9, 1/2, 1/9, -1/9, 1/9, -8, 8, 
  -1, 8, -8, -8, 8, 1, 8, -8, 3/2, -3/2, -3/2, -2, 21/4, -1/4, -2, 21/4, 3, 
  -9/4, -21/4, 7/4, -5, 21/4, 11/4, -21/4, 2, 107/8, -117/8, -65/8, 2, -7, 
  11/2, 21/4, 8, 4, -13/2, -8, 11/2, -1, -9, 13/2, 1, 4, 4, -3/2, -4, 4, 4, 
  -8, -9, 3/2, 1, -4, 13/2, 1, -4, -4/3, -20/3, -4, -3/2, 6, 7/2, 2/3, 14/3, 
  -1, -5, 11/6, 1, 4/3, 22/3, 4, 3/2, -16/3, -13/3, -2/3, -6, 5/6, -2/3, 
  -2/3, 4/3, 4/3, 1, -1, -4/3, -19/12, 7/6, -5/12, -19/12, -2/3, 3/2, -1/6, 
  -3/2, 5/6, -1/6, -2/3, 5/3, -5/6, -1/6, 9/2, 61/12, -25/6, -59/12, 2/3, 
  -25/6, 13/6, 59/12, -17/4, -1/3, -3/2, 2/3, -23/3, 1/6, -37/12, 17/6, 2, 
  5/2, 11/2, -4/3, -2/3, 7/2, 5/12, -9/4, -31/12, -5/4, -6, 7, 37/4, 13, -2, 
  -49/4, 7, -29/4, -25/4, -3, -1, 4, -4, 5, -4, -43/4, -5, 73/4, 2, 1, 29/4, 
  -7, 1, 29/2, -1/2, -1, 2, -9, 9/2, -21/2, -1, 4, 3, 12, -1/2, -31/2, -2, 
  9/2, 9/2, 11/8, 1/2, -5/8, 1, -1, 17/8, -9/2, 1/2, 25/4, -3, -1/2, 2, -3, 
  -21/4, -75/8, -9/2, 91/8, 11/2, 37/4, 3/8, -1, 7/2, -1/4, 1, -17/4, -1, 
  -5/2, 5/2, 5, -5/2, -5/2, 5, -5, 7/4, 5/2, 2, -7, 11/2, -2, -7, -2, 7, 
  -7/4, -13/6, -131/24, -13/6, 11/9, -25/9, 25/9, 25/9, -4, 13/3, 8/3, -4/9, 
  1/6, 115/18, -3/2, -13/3, 4/9, -1/6, -11/9, -25/9, 1/36, 25/9, 5/4, -22/9, 
  -1/36, 11/9, -25/9, 25/9, 28/9, -4/9, 115/18, -13/3, 4/9, -1/6, 50/9, 
  -25/9, -28/9, -2, -313/36, 11/9, -25/9, 25/9, -25/9, 47/9, -1, 1, -2, 13/6, 
  1, 2, -41/24, 131/24, -2, 13/6, 1, 19/12, -41/24, -1, 26, -26, 1, -26, 26, 
  9/4, -3/2, 113/4, -26, -1, 3/2, -113/4, 26, -11/4, 11/4, 11/4, -2, -9/4, 
  65/8, 11/4, -117/8, -89/16, 15/2, 9/4, -1/8, -83/8, 1/8, 65/8, -1/8, -83/8, 
  -7/2, 55/8, 83/8, -33/8, 10, -83/8, -25/8, 83/8, -9/2, -63/4, -5/2, 155/16, 
  527/16, -69/4, 22, -107/8, -299/16, 2, -14, -7, 45/4, 14, -47/4, -29/2, 
  7/2, -45/4, 25/2, 21/4, 21/4, 11/4, -21/4, -7, -7, 14, -2, 7/2, -5/4, 25/2, 
  7, 49/4, -45/4, -7/4, -21/4, 112/9, 137/9, 11, -193/12, -53/3, 19/12, 
  -110/9, -101/9, 3/4, 193/12, -11/18, -3/4, -112/9, -169/9, -11, 193/12, 
  169/9, -311/36, 110/9, 15, -263/18, 32/9, 2/9, -34/9, -26, 26, -11, -83/18, 
  26, -103/4, 29/3, 413/24, 7, -187/36, -38/9, 187/36, 65/72, -49/18, -71/18, 
  65/72, 83/36, -113/24, 367/72, 113/24, -533/72, 13/6, 13/72, 43/18, -44/9, 
  -13/18, 13/72, -79/12, -5/6, 2, 38/9, 43/18, 65/36, -157/18, -167/18, 7/4, 
  305/72, 215/18, -7/24, 76/9, -15/4, -37/6, 1/36, -185/18, -7/72, -665/144, 
  257/36, 83/16, 41/4, -253/12, -68/9, 7/72, 37/3, -1661/144, -575/48, 
  1441/144, 187/16, -13/4, -133/8, -161/8, -111/8, 177/8, 67/4, 37/4, 57/8, 
  107/8, 27/2, 1/2, -14, 41, 23/4, 15, -83/8, -23/4, -39/2, -77/2, 43/4, 
  -75/8, -61/4, 43/4, -37/8, 47/8, -35/4, -61, 7/4, -6, 303/8, 153/8, 3/2, 
  20, -81/4, -115/8, -17/2, -65/8, 205/8, 19/4, -38/3, 1/2, -1/4, -53/8, 
  -35/4, 251/16, 61/4, -277/16, 2, 47/8, -51/16, 105/8, -39/8, -105/4, -89/8, 
  59/8, 383/16, 91/4, -333/16, 27/4, -23, -313/16, 29/8, 39/2, -69/16, -5/4, 
  233/16, 77/24, 13/8, -5/4, 4, -31/16, -8, 37/16, 4, 3/2, -3/2, -3, 3/2, 
  3/2, -3, 3, -761/144, 10/9, -325/144, 9/8, 761/144, 101/72, 643/72, 
  -181/72, -7/9, 5/9, 7/9, -1/4, 401/144, 3/8, 961/144, 1/4, -247/144, -1/4, 
  31/144, -1/4, 247/144, -3/2, -2, 5/2, -3/2, 2, -1/4, 247/144, -113/16, 5/2, 
  2, -5/2, 16/9, -5/4, -379/144, 41/288, 227/96, 89/72, 1/2, 127/36, -37/16, 
  -125/72, -16/9, -59/72, 2, 397/144, 491/144, -1235/288, -761/144, 25/72, 
  -130/9, -107/72, 59/72, -133/288, -341/96, 49/24, -83/288, 107/72, -3/4, 
  -143/72, 247/144, -107/72, 1/2, 67/18, -31/144, -125/72, -107/36, 3/4, 
  143/72, -247/144, 107/72, 107/72, -143/72, -107/72, 107/72, -107/72, -7/36, 
  7/36, -15/4, 10/9, 2/3, 13/3, -10/9, -5/12, 19/72, -5/9, 3/16, 31/8, 5/36, 
  229/144, -11/36, -5/72, 23/9, -55/144, -97/36, -2, -1/18, 13/9, -13/9, 
  -13/9, 3/2, -13/3, -19/6, 10/9, 5/6, -20/9, 13/3, -10/9, -5/6, -7/36, 
  -1517/288, 13/9, 85/48, 1667/288, -355/144, 38/9, 49/12, 151/288, -145/36, 
  1445/288, -1445/288, 13/9, -13/9, -77/18, 10/9, -20/9, 13/3, -10/9, -5/6, 
  -113/36, 13/9, 247/144, 163/36, 107/36, 79/48, -145/36, 61/36, -13/9, 
  -13/48, -199/36, 7/36, -7/36, 15/4, -10/9, 1/9, -13/3, 10/9, -5/36, 16/9, 
  -5/4, -181/144, 67/96, 155/288, -16/9, 107/72, 179/72, -97/48, 121/96, 
  -99/32, -107/72, -89/72, -89/72, -16/9, -59/72, 2, 17/16, -55/48, -491/288, 
  -2/3, -109/72, 133/288, -17/36, 59/72, -133/288, 43/96, -73/96, -83/288, 
  -761/72, 20/9, -325/72, 9/4, 761/72, 101/36, 643/36, -181/36, 761/72, 
  -53/24, 527/144, -9/4, -761/72, -197/144, -2027/144, 515/144, -5119/288, 
  403/36, -1537/144, -263/72, -841/144, -77/18, 23/9, 643/144, 665/36, 
  73/288, -39/16, 841/144, 1715/144, 557/96, -2059/288, -1175/288, 761/72, 
  -20/9, 325/72, -9/4, -761/72, -101/36, -643/36, 181/36, 761/144, -10/9, 
  325/144, -9/8, -761/144, -101/72, -643/72, 181/72, 1/2, 20/9, -55/36, 
  -61/36, -1/2, -92/9, 55/36, -961/72, 8, -13/8, 5/4, -25, 367/16, 3/4, 29, 
  -373/16, -4, 761/72, -53/24, 527/144, -9/4, -761/72, -197/144, -2027/144, 
  515/144, -761/144, 10/9, -325/144, 9/8, 761/144, 101/72, 643/72, -181/72, 
  1/2, -743/72, 1/36, 583/72, 61/36, -1/2, 1061/48, -1/36, 167/72, -1697/144, 
  13/8, -5/4, -27/8, 9/4, 4, -421/16, 21, -3/4, -9/4, -8, 427/16, -21, 4, 
  445/72, 1/4, -223/18, -55/36, 1/2, 55/36, -4675/144, -287/72, 691/288, 
  -55/8, -1367/48, -1/4, -2323/288, -551/144, 247/144, 529/288, 3/4, 287/36, 
  451/72, -745/288, -39/16, 297/32, 83/12, 383/144, -1619/288, -13/8, 1/6, 
  -113/32, -121/32, 1/4, 113/32, 113/32, 113/32, -113/32, -1/4, 113/32, 3/2, 
  113/16, 1/4, -113/32, -113/32, -11/18, 13/12, -53/36, 31/18, -13/12, 
  -143/36, 95/24, 1051/144, -5747/288, -23/18, -20/9, 83/36, 2/3, 1607/144, 
  16/3, -1223/144, 23/18, -85/144, 169/72, -193/288, -163/288, -41/18, 43/36, 
  65/12, -1/9, -47/9, 1/9, -137/24, 143/24, 1333/144, 55/72, 421/72, 1/4, 
  41/8, -3/4, 1/4, -31/8, -41/8, 15/8, 671/48, 1003/96, 691/288, -160/9, 
  -1367/48, -19/4, 41/8, 1/8, -41/8, 2, 1, 883/96, 481/72, -695/36, 
  -12359/288, 104/9, -3095/288, -391/72, -23/4, -331/96, 19/72, 2491/288, 
  13/6, -4291/288, 73/24, 119/6, 323/36, -104/9, -367/96, 81/8, -5/2, 71/288, 
  16/9, -311/144, 179/288, 21/4, 139/8, 619/72, -395/288, -119/8, -175/288, 
  -331/72, 383/144, 1697/288, -13/8, 2, 16/9, -419/144, 5/2, 619/72, 
  -229/144, -119/8, -9/4, -1469/144, 31/8, -803/144, 89/9, -116/9, -2279/288, 
  -19/4, 365/18, 655/72, -1489/288, -247/72, 347/72, 5/4, -4469/288, -11/8, 
  -5/4, 116/9, 139/144, 55/9, -739/36, -665/96, 4747/288, 247/72, -259/32, 
  2959/96, 667/96, -83/288, 1927/288, -979/288, -103/96, 20, 8/9, -45/4, 
  -303/16, 461/288, 1985/288, 75/8, 89/8, 46/9, 155/36, -20, -51/8, 1457/72, 
  301/16, -4309/144, -4435/288, 43/36, -74/9, 749/144, 395/72, 25/288, 
  2465/96, 83/48, -871/96, -16/9, 5/4, 143/144, -217/576, 53/144, 16/9, 
  37/32, -73/24, -89/48, -7/192, 77/144, -37/32, 43/24, 119/288, 16/9, 59/72, 
  -2, -143/144, -271/288, 143/144, -569/288, 13/16, 167/192, 83/48, -59/72, 
  133/288, 253/192, 581/288, 83/288, -1/6, 137/72, -251/72, -215/72, 413/72, 
  -13/3, 10/9, -2, 215/72, -7/24, 113/72, 785/144, -29/8, 175/36, -1027/96, 
  -919/96, -599/72, 287/72, 1031/144, 55/72, -603/32, -43/36, 5093/144, 
  137/18, -595/48, 77/36, 25/144, -21/4, -41/24, 505/288, -73/96, 149/18, 
  217/24, 19/18, -169/36, -5719/288, 841/288, -355/72, 151/36, 293/18, 
  139/72, -179/48, 527/144, 21/16, -1145/288, -61/72, -245/32, 727/48, 
  2287/144, 43/16, 65/96, 1073/96, 3317/288, -547/72, -3523/288, 65/6, -65/9, 
  3/4, 2341/288, -643/144, 1183/144, 101/18, 107/48, -65/6, 241/72, -741/32, 
  -79/72, 31/8, 39/4, 205/72, 29/8, -101/18, -191/16, 85/48, 347/36, 37/8, 
  -1769/72, -55/36, 479/16, 31/3, -14827/288, -73/72, 3871/288, -436/9, 
  -2917/288, -457/72, 965/36, 887/96, 133/36, 763/24, -4609/144, -23/72, 
  2405/96, -237/16, 4673/288, 103/36, 1147/288, 88/9, 377/144, 19/4, 43/24, 
  -353/72, -443/144, -1343/72, 11/18, 1901/144, -53/36, -377/12, -121/9, 
  13327/288, 2027/144, -2035/288, 188/3, 221/32, 107/24, -1525/36, -3499/288, 
  175/36, -1433/72, 4865/144, 149/16, -3295/288, 1513/144, -953/32, 
  -1063/144, 839/96, -1/3, 2611/288, 371/72, 247/72, 4901/576, -911/96, 
  -1159/48, -1339/144, 973/144, 235/48, -1579/144, -119/8, -475/64, -545/144, 
  799/96, 197/18, 527/32, -181/48, 9/8, -2383/96, 211/36, -205/72, 419/48, 
  8399/288, 7/24, -1733/48, 5/72, 1645/144, 1763/288, -203/16}}
