{{1, -1, -2, -2, -2, 2, 1, -1, 1, -2, -2, -2, 2, 2, -1, 1, 2, -2, 1, -2, -2, 
  2, 2, -1, 1, 2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 3, 3, -1, 1/2, 1/2, 1/3, 
  -1/6, -1/2, -1/3, -1/3, 3, -1/3, -4, -3, -2/3, -2/3, -1, 1, -2/3, 4/3, 4/3, 
  -1, 2/3, -4/3, 1, -2, -3, -1, -2, -1, 1/3, 13/3, 1, -4/3, 3, 3, -2, -3, 
  -2/3, 2/3, -2/3, 4/3, 2/3, -4/3, 2/3, -3, -1, 5, -1/3, -4/3, 5, -1, -13/3, 
  -2, -2/9, 5/9, 1/4, -4/9, 1/3, -7/9, -1/3, 19/36, 2/9, -5/9, -17/18, 35/18, 
  1/6, 1/9, 4/9, -26/9, 1/6, 13/18, 1/4, 5/9, -7/12, -2/3, -3, 1/2, 11/18, 
  11/6, -1/4, 1/2, 5/6, -1/2, 1, -1, 2, -2, -3, 1, 4, 2, 2, 1, -4, 4, 8, 4, 
  1, 1, -1, 2, -1, -1, 1, 2, -2, 2, 5, 1, -2, -5/2, 1, -2, -1, -1, -3, -3, 4, 
  -2, 1, 5, 2, -4, 1, -2/9, 5/9, 121/9, 44/3, 1, 1, 1, -1, 1, -1, 1, 2, -1, 
  1/4, 3/4, -3/2, 13/2, 15/4, 1/2, -1/2, -1, 1/2, 1, 1, -1/2, 2, 3, 1, -2, 1, 
  -1/2, 1, -1/2, 5/2, -7/2, -2, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -2, 
  1/6, -1/2, -1/2, 1, 1/6, -1, -3/2, 1/3, 1/2, 1/3, -5/3, 2/3, 1, -1/2, 1, 
  1/2, -7/6, 4/3, 1/3, 1, -13/3, -7/3, -2, 16/3, 7/2, -8/3, -2/3, 5, 8/3, 
  -1/3, -3/2, -1, -2, -1/3, -1, 5/6, 5/3, -2/3, 1/2, -2/3, -7/6, -5/9, 5/9, 
  1/3, 5/6, -77/9, 1/6, 2, 5/3, -28/3, -1/2, 1/2, 1/4, 1/4, 1/6, -1/4, -1/2, 
  -1/6, 1/4, 5/12, 5/12, -5/4, -1/4, -5/12, -5/6, 5/4, 5/12, -5/12, -5/12, 
  5/4, 5/12, 1/3, -11/12, -1/3, 4/3, 1/3, -5/12, 1/12, -17/12, -1/6, -5/12, 
  20/3, 1/6, -1/4, 1/12, 65/12, -3/4, -17/4, -7/2, -1/6, -1/12, -1/3, 1/12, 
  3/4, -5/3, -1/3, 1/4, 2/3, -1/3, 1/3, -1/6, -13/12, 7/12, 1/4, -4/3, -1/2, 
  3/2, 1/2, 1, 1, 1, 1, -1/2, -3/2, -1, 1/2, -1, -2, -5/2, 5/2, -13/2, 3/2, 
  1/2, -3/2, -1/2, 7/2, 1/2, 5/2, -9/4, -1/2, 19/4, -1/2, -1/2, 1/2, -1/2, 
  1/4, 5/4, -7/4, -1/2, -1, 1/2, 3, 1, -2, 1, 17/9, 34/9, -3, 157/18, 29/6, 
  1/2, -2, -1/2, -5/4, -1, -9/4, -1/2, -8/9, -19/36, 7/4, -107/36, -163/12, 
  -3/2, 1/2, -1/2, -1, 1/2, 2, -9/2, -1/4, -4, 9/2, 1, 7/4, 3/2, -7/4, -7/4, 
  -3/4, 13/4, -5/4, 1/4, 9/4, -1/4, -3, -11/4, 1/4, -19/4, -7/4, -5/2, 5/2, 
  5, 5, 5, -5, -5/2, 5/2, -5/2, 5, 5, 5, -5, -5, 5/2, -5/2, -5, 5, -5/2, 5, 
  5, -5, -5, 1/2, 1, -41/4, -8, 35/4, 8, 3/2, 47/4, 23/2, -3/2, -5, 5, -5, 5, 
  5, 5, -31/3, -8, 7/3, 8, -14/3, 7/3, -21/2, -1/4, 23/2, 12, -3/2, -31/3, 
  7/3, 31/3, -14/3, 7/3, 31/3, -77/6, 28/3, 7, 7/2, -349/72, -533/36, -15/4, 
  113/12, 157/6, 43/12, -335/72, -421/36, 1/12, 311/36, 37/6, -337/36, -3/2, 
  5/6, -61/24, 7, -3/4, -3/2, -14/3, 199/36, 367/36, 215/9, 367/18, -7/2, 
  3/2, -131/36, -20, -145/6, -401/9, 7/2, -5/6, 377/36, 145/6, -2/3, 65/18, 
  -86/9, -79/6, -16, -25/2, 7/2, -16/9, 15, 16, -11/6, 2, 2, 7, -2, -14/3, 
  367/36, 367/18, 37/6, -20, -401/9, -3/2, 377/36, 145/6, -2/3, 106/9, 
  -841/36, -359/9, -46/9, 893/36, 241/6, -5/2, -64/9, 56/3, 23, -23/6, -11/2, 
  1/9, 199/72, -367/72, -887/72, -257/72, 29/3, 197/8, 3/4, -353/72, -443/36, 
  1/3, 7/18, 23/36, -253/36, 185/18, 397/18, -1/3, 67/12, -92/9, -139/6, 
  -1/12, 3/4, -7/4, 13/36, 73/36, 383/36, -347/36, -179/12, -1/12, -10/3, 
  49/9, 17/12, -7/2, -109/36, 65/6, 35/12, -1/4, -11/2, 11/3, 11/2, -11, 
  55/3, 10, -3, 33/2, -61/6, -4/3, 5, -44/3, 76/3, 19/3, -35/6, 83/3, -11/2, 
  -107/3, -92/3, 3, -17/6, -28/3, -2, -7/2, 11/2, -7, -11, -3/2, 53/6, -13/6, 
  -22/3, 11, 6, -161/6, -65/6, 4, 29/9, 154/9, -1/3, 98/9, 7/2, -11/2, 97/3, 
  -29/3, 50/3, 13/6, -181/9, -253/18, 22/3, -7/2, 379/18, 163/6, 14/3, -2, 
  164/9, -61/6, 115/6, -11, 47/9, -47/9, 3/2, -244/9, -43/18, -197/6, -514/9, 
  -7/2, 1/2, -1/2, -3/2, 1, 3/2, -7/2, -7/2, 7/2, -7/2, 7/2, -7/2, -7, 7/2, 
  55/24, -5/4, 9/2, 259/12, -35/24, 7/4, 35/24, -3/4, -3/2, 2, 7/2, 13/12, 
  -11/12, -7/2, -13/12, -25/4, -39/4, -7/2, 25/4, -7/2, 2, -11/12, -13/12, 
  -33/4, 26/3, 25/4, 8/3, 5, 7/2, -7/2, 7/2, 7/2, 7/2, 7/2, 7/2, -7/2, 7/2, 
  -7/2, 7/2, 7, -49/18, 31/18, 29/6, -157/18, -313/36, -1/9, 15/2, 7/9, 
  -35/2, 59/9, 253/36, -37/18, -41/6, 46/3, -1/18, -8/3, 65/9, -163/18, 
  -385/36, -35/6, 286/9, 35/6, 104/9, 1211/36, -529/18, -389/18, 299/18, 
  275/36, -247/6, -251/18, 7/2, 10/9, -197/18, 259/36, -44/3, 1, 6, -145/36, 
  17/9, -3, 61/18, 47/9, 24, -293/18, -35/6, -1, -67/9, 181/6, 4/3, -21/2, 
  -139/18, 859/18, 29/6, -2, 179/72, 31/36, -1/12, -331/72, -127/72, 1/12, 
  91/36, -1/12, -17/18, 1/6, 115/36, 359/72, -25/9, 1/12, -1/12, -29/9, 
  -49/36, -13/72, -119/72, 445/72, -5/18, 35/8, 17/4, -217/24, -187/72, 
  113/72, 47/18, -649/72, -71/72, 1/4, -383/72, 367/72, 1063/72, 467/72, 
  -127/9, -199/8, -3/4, 1757/72, 121/9, -1/3, 883/72, -971/72, -167/8, 
  -367/72, 2471/72, 703/36, -307/18, -85/9, 1273/72, 329/24, -281/12, 
  -283/24, -11/9, 367/72, 179/24, -1/12, 73/24, 1/12, 3/4, -329/72, -37/6, 
  -67/24, 1/3, -19/36, -55/9, 367/72, -28/9, 103/9, 7/36, -35/72, -329/72, 
  -107/12, 1/3, 33/8, -137/18, -439/36, 113/72, 103/12, 53/4, 2/3, 22/3, 
  -63/4, 2/3, -1/2, -59/4, -23/2, -3/2, -109/6, 16/3, 65/6, 6, -145/4, 
  -257/12, 14/3, 145/6, -359/12, -18, 871/12, 385/12, -16/3, 15, 3, 38/3, 
  -607/24, -19/6, -251/24, -497/24, 1/8, -223/24, 3, 185/24, 5/6, 8/3, -1/2, 
  -143/24, -25/12, 263/24, 3/2, 1/9, -16/3, -11/6, -6, 1063/36, -169/36, 
  -5/6, -21/2, -227/12, 113/6, -2059/36, -743/36, -3, 140/9, 16/3, -31/3, 
  -68/3, -31/3, 6, -38/3, 253/8, 19/6, 29/2, 1009/36, 949/24, -265/72, 
  2077/72, 23/3, -53/4, -121/12, 1/4, 11/4, 15, 35/6, -73/3, -175/24, 511/24, 
  103/8, 49/24, -23/3, -33/8, 1/4, 31/3, 43/24, -33/4, -1/4, -43/24, 11/3, 
  127/12, 31/3, -563/24, -179/12, 17/3, 1/4, -9/2, -1/4, -409/24, 20/3, -5/4, 
  -117/4, -233/8, -49/6, -251/8, -35/6, -26/3, -61/6, -187/36, 23/36, 59/12, 
  29/36, -101/36, -175/36, -37/18, 203/36, 185/36, -1, 143/24, -331/36, -1/9, 
  1, -23/18, -8/9, -49/9, 9/4, -25/36, 149/36, -1/6, 37/36, 41/9, 17/3, 
  157/36, 103/36, 3/2, -3/2, -3, -3, -3, 3, 3/2, -3/2, 3/2, -3, -3, -3, 3, 3, 
  -3/2, 3/2, 3, -3, 3/2, -3, -3, 3, 3, -3/2, 13/9, 3, 145/18, -37/18, -17/6, 
  -181/36, 77/36, -3, -22/9, 11/36, 131/36, -1/2, -26, -181/9, -193/18, 
  313/9, 233/9, 209/18, -316/9, -14/9, -104/3, -107/3, 107/3, -199/36, 
  2017/36, 191/36, -469/9, -1/36, -1091/72, -377/18, 5/12, 1/2, -3/2, 62/9, 
  83/12, 155/9, 713/18, 1/6, -27/4, -713/18, -1/6, -1, -37/36, -457/18, 1, 
  3/2, 3, -3, 3, -3, -3, -3, 331/18, 401/18, 35/9, 155/9, 155/9, -52/3, 
  -17/6, -155/9, -19/18, 25, 953/36, -457/18, -53/2, 3/2, 331/18, 35/9, 
  155/9, -331/18, -17/6, -155/9, -19/18, -179/9, 59/2, -439/18, -23, 1/2, 
  1/18, -137/36, 479/72, 541/12, -1/6, -301/36, -487/72, -785/18, 79/36, 1, 
  4/9, -35/36, 25/9, -19/6, -361/6, 1/6, 17/9, -397/36, -5/18, 5/2, 20/9, 
  67/36, -31/36, 1/4, 1/2, 101/18, -13/6, 299/9, -55/9, 1/18, -299/9, 19/9, 
  -1/2, 1, 1/2, -46/9, 11/2, -326/9, -1, -31/18, 1/2, -1, -1/2, -17/6, 1, 
  -157/12, -125/72, 149/18, 997/36, 104/3, 68/9, -3/4, 85/24, -149/12, -77/3, 
  -526/9, -65/9, 3/2, 143/36, 220/9, 1/6, 89/9, -64/3, -55/4, -39, -1291/36, 
  -313/36, 269/18, 209/6, -10/9, 61/4, 25/72, 37/18, -181/12, 1/2, 16/3, 
  -175/36, -367/36, -421/18, -367/18, 3, -3/2, 131/36, 62/3, 137/6, 389/9, 
  -3, 5/6, -401/36, -137/6, 2/3, -55/9, 151/18, 14, 931/18, 113/2, -326/9, 
  1/3, -178/9, -1003/18, 52/9, -88/9, -167/18, -53/6, 88/9, 16/3, -367/36, 
  -367/18, -41/6, 62/3, 389/9, 3/2, -401/36, -137/6, 2/3, -251/18, 871/36, 
  1453/18, 137/18, -121/4, -242/3, 58/9, 155/18, -232/9, -377/6, 271/18, 
  106/9, -16/3, 367/36, 197/9, 41/6, -62/3, -389/9, -3/2, 401/36, 64/3, -2/3, 
  1/2, 1/36, 85/9, -911/36, -655/18, -1/9, -119/18, 523/18, 109/3, 1/12, 
  -149/36, 1, 13/18, -35/36, -173/18, 259/12, 37/2, 1/3, 17/9, -197/18, 
  -11/12, 9/4, 20/9, -431/36, -5/3, 1/4, 19/9, 40/9, 145/9, 475/18, -37/9, 
  37/12, -23/36, -10/3, -335/12, -17/36, 1, 23/9, -41/3, -475/18, -1/3, 
  -199/36, 11/36, -32/9, 893/36, 77/36, 1, -229/48, 17/24, -29/36, 47/72, 
  -47/36, 41/6, 41/18, -407/9, 3/4, -113/18, 791/18, -125/18, -49/12, 127/12, 
  803/18, 119/9, -10/3, -23/12, 23/36, -16873/576, -10579/192, -19/9, -40/9, 
  -145/9, -146/9, 37/9, 19/9, 10/3, 23, -1/3, -1, 15/2, -13/9, -3, -145/18, 
  37/18, 17/6, -17/36, -293/36, 15, 22/9, -1001/36, -509/36, 5, 40/9, 124/9, 
  77/6, 380/9, -37/3, -59/9, -169/18, 18, 16/9, 110/9, 97/3, -5/9, -116/9, 1, 
  -18, 569/36, -7, -257/36, 37/18, 35/2, -1571/36, -527/36, 15/2, -65/2, 
  -161/24, 1609/36, 334/9, -11/2, 23/18, 8/9, 49/9, -9/4, 25/36, -149/36, 
  1/6, -37/36, -41/9, -17/3, -157/36, -103/36, 23/9, -41/3, -146/9, -1/3, 
  -1/3, 5/3, -32/9, 305/9, 13/3, 4, -15/2, 215/18, 15, 113/9, -37/18, -83/6, 
  -145/36, 311/36, -15, -287/18, 1055/36, 635/36, -2, 70/9, -27/2, -380/9, 
  289/9, -1/3, 113/18, -346/9, 2/3, -56/9, -91/3, 5/9, 71/9, -1, 6, -97/2, 
  -101/36, 19, -1075/36, -37/18, -1, 1289/36, 1025/36, -12, 12, -205/8, 
  -1555/36, -145/9, 17/2, -515/18, 109/9, -409/9, 57/4, -307/36, 755/36, 
  -14/3, 1519/36, 62/9, 17/3, 841/36, 1999/36, 3/2, -593/144, -809/144, 1/2, 
  1025/144, -1/2, -3/2, 3, 3, -1/2, -3, 2, -41/18, -262/9, -3/2, 83/9, 262/9, 
  -125/18, -2, 47/9, 289/9, -169/18, -53/18, 19/3, 3799/288, 2941/192, 25/12, 
  -43/6, -2941/192, 5/6, -5983/288, 313/288, -1225/576, -1297/288, -1015/36, 
  -593/144, 47/72, 229/48, 10603/864, 15211/864, -10309/864, 91/12, -47/36, 
  -15211/864, -499/144, -47/72, -47/72, -16/3, 47/72, -37349/288, -60829/288, 
  -1391/18, 183703/1728, 91645/1728, -12073/432, 51475/192, 13719/64, 
  -156811/1728, -78959/576, 267293/1728, 263405/1728, -28151/432, 
  -268445/1728, -2, 9097/288, 2521/72, 329/96, 839/576, 839/576, -34909/576, 
  -18689/576, -839/576, 16715/576, -35515/576, -35515/576, 5/2, 35515/576, 
  9961/288, 329/96, -889/576, -9097/288, -18689/576, 889/576, 16715/576, 
  -9529/288, -4333/64, 2617/576, 8849/96, 35515/576, -1/2, 1/2, 67/18, 
  -53/12, -20/9, 244/9, 50/9, -74/3, -473/18, 127/18, 65/3, -27, -1019/36, 
  245/6, -1/2, -467/12, -215/6, 3/2, -3/2, -3, -19/12, -1/12, 3, 19/12, 11/4, 
  361/36, 289/9, -403/36, 1/18, -3/2, -1/12, 19/12, 25/4, -17/3, -19/4, 
  -52/9, 38/3, 7039/432, 10309/864, -5/3, 21337/864, -9025/432, 7741/864, 
  29893/288, 1911/32, -188167/1728, -20077/288, 12073/432, -51533/576, 
  15469/144, 87943/1728, 6703/96, 8039/216, -15853/144, -29207/432, -5/2, 
  5/6, 19/3, 2749/192, 3325/192, 5/3, -43/6, -3325/192, 5/6, 2425/288, 
  -263/288, -2953/576, -1585/288, -1123/36, -11/2, 19/3, 3325/192, 5/2, 
  -43/6, -3325/192, 5/6, 11/2, -263/288, -4105/576, -1585/288, -1051/36, 
  95/18, -31/9, -25/4, 81/4, 965/72, -79/4, -33/4, -53/18, 101/4, -361/36, 
  -623/72, 265/12, 33/4, -22, -103/36, 3, -379/36, 383/36, 115/8, 335/36, 
  -46/9, 125/9, -65/6, -1181/24, 6, 925/36, -925/36, -141/8, 941/36, 401/18, 
  -17/4, -13/18, 391/36, -151/72, 467/12, -5/6, -8, -41/24, -209/12, 31/12, 
  4, -41/18, -89/36, -985/36, 91/18, -125/9, 5/6, 49/6, -803/36, -13/4, 11, 
  85/18, -1195/36, -14/3, 11/4, 521/144, -49/72, 1121/216, 9077/432, 
  -19967/576, -161/48, -5749/288, -79793/1728, 80519/1728, -1/12, 14495/576, 
  -1, -5/72, -547/144, -3877/288, -25787/1728, 75335/1728, -1/3, -89/72, 
  7277/864, 11/12, -9/4, -113/72, -17699/1728, 5/3, -1/4, 115/18, -367/36, 
  -413/18, -589/72, 206/9, 1049/24, 3/2, -188/9, -1615/72, 2/3, -157/18, 
  745/24, 431/12, 233/72, -466/9, -211/6, 635/36, 16/3, -2149/72, -170/9, 
  203/8, 12, 64/9, -595/36, -29143/1728, -19/3, -50543/1728, -3/2, 407/36, 
  52/3, 43/6, 3325/192, -2/3, -5/6, -9319/288, -18701/864, -367/36, 
  83443/864, 242/9, -70871/1728, 17555/576, 149/36, -1675/72, 1/6, 
  -71537/1728, -10873/432, 28837/432, 1465/64, -32765/1728, 3/2, 95/16, 
  -1453/144, 3193/288, -3763/288, 5261/192, 23/18, 391/16, -3305/192, -19/9, 
  52/9, 733/24, -31019/576, -37/9, -1, 1, -128/9, 119/9, -32/9, 484/9, -52/9, 
  -3, -9, 175/9, -59/9, -724/9, -14, -107/18, -173/18, 64/3, 4103/288, 
  535/32, -6749/192, 23/6, -27, 4033/576, 13/3, -13495/288, -299/144, 
  8713/96, 5333/192, -11167/576, -4, -373/144, -1103/144, -8521/288, 
  2099/288, -2255/64, -1043/144, 11611/576, 8/3, 77/24, 121/24, 10265/192, 
  -205/24, -2, -10/9, 176/9, -359/9, 8, -475/9, 298/9, -2, 55/3, 40/3, 56/9, 
  215/3, 184/9, 4, -179/9, -64/3, 4201/288, -317/96, 2751/64, -23/3, 27, 
  -10129/576, -13/3, -617/288, -5947/144, -28283/288, -10031/576, -2603/192, 
  4153/32, 12127/144, 148093/1728, -1/6, -38671/288, -137527/576, -54605/576, 
  97691/576, -36551/288, -438437/1728, -6261/64, 270667/864, 283637/1728, 
  8897/144, 563/96, -77/6, -8971/288, -53479/432, -15167/288, 29/2, 
  53479/432, -5/3, 62807/864, 2944/27, -2/9, -58867/432, -619/9, -19783/864, 
  38/3, -1/6, 19445/432, 1/6, 563/36, -169/9, -8423/288, 127/6, -34213/432, 
  -5107/864, 228859/1728, 1229/192, -125455/1728}}
