{{1, 1, -1, -1, -1, 3/2, -2/5, -147/10, -42/5, 3, 2, 41/10, -2, -19/5, -4, 
  -2, 23, -5, -41/10, -2, -5/2, -1, 21/5, 1, 33/5, 23/2, 23/2, -3, 2, 3/2, 
  -3/2, -2, -4, -3/2, 1/2, 6/5, -49/10, -16/5, 1/10, -2, -3/2, -1, 6/5, 2, 
  -8/5, 1, -9/10, -23/2, 1/2, 57/20, -14/5, 7/5, -179/80, -57/20, -13/8, 
  13/10, 1, 7/10, -1, -4/5, -2, -29/20, -1, 11/10, -41/5, 41/10, 29/5, -6/5, 
  1/2, -1/5, 21/40, 43/20, -1/5, 1/5, -15/4, -83/20, 19/5, -11/10, 3/20, 1/2, 
  24/5, -139/40, 2, -51/20, 1/2, 91/80, -7/10, -37/10, 15/8, -83/20, 17/10, 
  1, 1, -1, -3/2, -1/2, -2, -21/4, -89/40, 34/5, 18/5, 1, 7/2, 257/80, 
  -17/10, -3/2, 8, -15/8, -83/10, -6, 1, -3/2, -89/40, -1/10, 2, 257/80, 1/2, 
  -3/2, 153/40, -31/5, -1/2, -57/20, 14/5, 3/10, 2, 37/20, 1/2, -11/10, 
  57/20, -3/10, -57/20, -83/20, 3/10, -1, -2, -1, -3/10, 139/20, -57/5, 
  -139/20, 57/5, -15/4, 15/4, 2, 467/20, -143/5, -467/20, 133/5, -165/16, 
  -431/40, 1201/80, 165/16, -1333/80, -139/40, 1789/80, 1983/80, 15/8, 8, 
  669/20, -27, -669/20, 19, -253/8, -289/10, 1401/40, 1009/40, -2223/40, 
  -139/20, 2679/40, 2447/40, 15/4, -8, -289/10, 57/5, 1009/40, -139/20, 57/5, 
  2319/40, 15/4, 27/10, -27/10, 68/5, -131/20, -87/10, -439/40, 153/20, 
  27/20, -27/20, -27/10, 27/20, 27/20, 37/4, 129/40, 48/5, 293/40, -1, 
  -79/20, -41/20, -383/40, 15/8, 79/20, 27/20, 129/40, -129/20, 129/40, -4, 
  -2, -3/2, 2/5, 23, 147/10, 42/5, 1, 419/20, 2, -419/20, 1839/20, 4/5, 
  -1737/20, -46, 387/20, 5, 2, -71/4, -2, -8/5, 919/20, 4/5, -817/20, -46, 
  387/20, 31/5, -71/4, -26/5, -8/5, 191/10, -1, -191/10, -2, -223/10, 8/5, 
  -2869/20, -26/5, 633/5, 17/2, 2, 104/5, -6/5, 829/10, -9/5, 3/5, -8, 
  -31/10, 1, -6/5, 23, 178/5, 199/10, 3077/20, -621/20, -303/5, 4, -24/5, 
  -10, -6/5, -109/5, -96/5, -7/10, 93/5, -959/10, -267/5, -15/2, 1941/20, 66, 
  -2, -2, -151/10, 3, 74/5, 203/20, -27/5, 189/40, -267/20, 57/10, -28/5, 
  -57/10, 28/5, -3/5, -6, -521/40, 12/5, 1041/80, -367/40, 57/10, 57/10, 3/5, 
  57/10, 483/16, -1/5, 15/8, 251/20, 38/5, 123/40, -7/5, 191/80, 18/5, 57/5, 
  -4, 253/20, -1/2, -379/40, 73/20, 15/4, -33, 83/20, -15/4, -2, 3251/120, 
  89/30, -334/15, 17/6, -1105/48, -3, 222/5, -5/6, -1319/60, 2, 353/24, 
  -67/20, -77/15, -289/20, -1/2, -8/15, 2779/120, 397/30, -1351/60, -117/10, 
  15/4, 83/20, -153/10, 1, -13/4, -41/20, -15/4, -41/20, -5/4, -11/5, 3/5, 
  -3/20, 6/5, -2/3, 1, -1/6, -1, -31/5, -5, -279/20, 3/2, 27/2, 57/10, -28/5, 
  -829/20, 31/5, -9/10, 59, -49/10, -57/10, 15/2, -261/5, -119/4, -36/5, 
  -159/8, 114/5, 243/8, -31/20, 62/5, 279/4, -131/8, 7/4, -407/10, 119/4, 
  78/5, 411/5, -196/5, -833/40, -1383/20, 419/20, 321/10, -1561/20, 761/20, 
  699/20, 46, -2, -291/40, 181/16, 1791/80, 1899/40, -913/80, -1123/80, 
  -481/40, 141/10, 481/40, -151/10, -1053/20, 171/20, -53/10, 249/10, 417/40, 
  -415/8, -207/20, 369/10, 21/10, -3/5, -2203/40, 5, 109/20, 145/2, -419/20, 
  -5/2, 91/20, -717/40, -367/10, -46, -2, 409/20, -197/20, -5/2, 263/40, 
  -1/2, 33/5, -23/40, 37/20, -18/5, 223/20, -929/40, -89/40, -591/20, 
  -697/40, -251/10, -153/10, -81/4, 177/10, 87/10, 88/5, 589/20, -1307/80, 
  -87/10, 867/80, 24/5, 337/40, -31/5, 653/40, 37/10, -1857/80, -2589/80, 
  -627/10, -559/8, -2367/20, 1259/20, 633/5, -3007/40, -253/40, 1/10, -27/5, 
  2, 5173/80, 647/16, 151/5, -565/16, 2291/40, 609/8, 3043/20, -3457/40, 
  -748/5, -1, -9/4, -9/4, 9/4, -17/20, -18/5, -3/20, 18/5, 1, 11/5, 27/20, 
  -13/5, -27/20, 27/20, -27/20, -27/20, -2/5, 18/5, -18/5, 18/5, 11/5, 27/10, 
  -13/5, -27/10, 27/20, -27/20, -17/20, -71/10, 1/5, 26, 71/5, -6, -31/20, 
  -78/5, 1/2, 43/5, 2, 329/20, -4, 77/10, -477/20, 91/10, 78/5, 1/4, 11, 
  13/4, -44/5, 47/20, -147/10, -411/20, -501/20, 53/10, -67/20, -68/5, 27/20, 
  68/5, 2, 133/20, 91/10, -43/5, -21/10, 117/20, 16/5, -13/20, -63/10, 63/10, 
  51/10, 91/10, -22/5, -21/10, 1/2, -23/5, 41/10, -25/4, 49/20, 19/40, 
  -33/20, 9/10, -1/5, 23/10, 139/40, -29/20, -219/160, 9/5, -66/5, -1/2, 
  -83/40, 23/10, -77/40, -9/5, 51/20, 87/40, 39/40, 13/40, -21/40, 1/2, 
  501/40, -143/20, 3, -27/8, 15/8, -51/40, 383/40, -53/8, 47/40, -37/20, 
  37/20, -57/10, -167/20, 33/8, 4/5, 41/20, 147/40, -53/40, -9/20, -261/20, 
  9/2, -15/4, -101/40, 7/8, -1/160, 19/20, 393/40, -49/40, 29/5, -161/40, 
  -17/20, -18/5, -3/20, 13/5, 1, 69/40, 17/40, -23/10, 3/4, 9/20, 3, 269/20, 
  1/5, -2, -149/10, 11/4, -201/40, -177/32, 11/8, 49/40, -503/40, 5/8, 1/10, 
  327/40, -18/5, 13/5, 69/40, -23/10, 9/20, 27/10, 1/5, -7/5, -31/8, -177/32, 
  -1/5, 49/40, -203/40, 193/20, 17/40, 3/4, 1/5, -23/10, 251/80, -7/4, -38/5, 
  7/8, 39/40, -9/5, 7/10, 57/20, 29/5, -9/10, 18/5, -13/5, 31/20, 11/2, 7, 
  27/5, 123/40, -47/10, -123/40, -7/10, -193/40, 193/40, 103/20, -158/5, 
  137/20, 158/5, -12, 1089/160, 29/2, -2777/160, -373/32, -27/160, 1/5, 
  -677/160, -457/32, 59/40, 63/5, -369/8, -39/10, 369/8, -87/10, -97/10, 
  1483/40, -181/20, -9/2, -907/40, -123/40, 703/40, 547/40, 193/40, -25/2, 
  1483/40, -33/5, -9/2, -27/5, -123/40, -7/10, 749/40, 193/40, -9/2, 9/2, 
  -37/4, 27/20, 399/80, 73/8, 4073/160, -867/80, -153/80, 351/80, 9/5, 
  153/40, -351/80, -153/80, -491/80, -431/160, -71/10, -1539/160, 19/10, 
  27/10, 81/16, -17/16, 1001/160, 83/160, -89/16, -153/80, -431/160, -27/10, 
  27/10, -9/5, 431/80, 27/10, -27/10, -431/160, 2, -4, 483/20, 71/10, -1/5, 
  -477/20, -26, -71/5, 499/40, -273/20, -13/4, 49/20, 47/5, -597/40, -537/8, 
  277/20, 757/40, 247/10, -441/20, -103/20, -2, 409/20, 43/20, 8/5, -1697/40, 
  58/5, -247/40, 247/10, 57/20, -441/20, -157/20, -1/10, 409/20, 209/20, 8/5, 
  17/20, -5, -6/5, 31/4, 17/20, 7, 693/10, -12/5, 7399/20, -1567/40, -976/5, 
  2/3, 67/10, 36/5, 67/10, -67/10, 67/10, 36/5, 67/10, -607/30, -7, -311/5, 
  11/5, -6329/20, 27/10, -93/20, 88/5, 73/4, 13/4, 11/5, -1213/20, -863/10, 
  -341/4, -5675/16, 3991/40, 1399/10, -103/10, -23/20, 59/5, 283/20, 23/2, 
  217/4, 301/5, 82/5, -903/20, 2097/10, 1084/5, 3633/80, -2389/10, -553/10, 
  36/5, -21/5, 5, 81/2, 83/10, -131/4, -27/5, -691/40, 213/10, -573/20, 
  1273/40, -2/5, 23/5, 2/5, -23/5, -251/40, -269/40, 517/20, -22/5, -813/160, 
  -27/10, 19/5, -16/5, -18/5, -7/5, -57/10, 1171/160, 3/5, 59/40, -1237/80, 
  -21/2, -139/40, -251/40, 51/160, 9/10, 53/40, -128/5, 113/20, 191/160, 
  -7/8, 591/40, -501/80, -479/80, 101/4, -29/5, 99/16, 221/60, 41/18, 
  -637/180, 553/180, 391/72, 3647/288, -77/120, -767/40, -178/45, 3029/180, 
  -163/60, -643/36, 89/20, -79/45, 563/40, -15/8, -625/72, -2167/90, 101/360, 
  773/360, 112/5, -37/20, 57/10, 233/20, -187/80, -49/20, 353/40, -1, 9/80, 
  191/16, -1/4, 55/16, 3/4, 223/40, 23/4, 51/40, 33/8, -3/10, -81/20, 11/10, 
  17/30, 67/30, -1/90, -67/30, -19/18, 17/120, 67/30, 5/36, -67/30, 545/72, 
  81/20, 3, 62/5, 109/10, 1693/40, 269/40, -27, -61/10, 51/5, 275/2, -803/40, 
  -13/5, -4037/40, 139/8, 93/10, -129/10, 757/10, 3003/40, 52/5, 6293/160, 
  -417/20, -939/16, -631/80, -55/4, -3513/40, 369/160, -589/80, -27/5, 7, 
  -3003/40, 23/10, -1501/20, 361/20, 163/5, 4011/40, -241/40, -193/20, 
  5283/40, -267/8, -1611/40, -707/10, -203/20, 89/40, -1423/160, 67/5, 
  503/32, -4433/60, 4067/480, -13541/480, -27/10, 121/40, -73/10, -121/40, 
  14, 7941/80, -63/10, 1183/80, -4273/80, -31/4, 1867/10, 69/5, -571/20, 
  -49/20, -1097/40, 1307/32, 59/10, 687/80, -6959/80, 241/40, -82/5, -319/8, 
  2583/160, 3811/80, 707/10, 59/40, -3069/80, 243/40, 273/40, 279/32, 101/8, 
  -187/20, 701/40, -453/80, 18/5, -1379/80, 1949/160, -3613/160, 4141/80, 
  3343/160, -39/20, 3029/80, -67/10, 339/20, 423/40, -1043/120, -601/160, 
  -32, -2979/160, -827/40, 12121/480, 579/20, -18449/480, 72/5, -273/10, 
  343/20, -202/5, -73/20, 7467/160, 10317/160, 4047/40, 6383/40, 32659/160, 
  -2463/16, -976/5, -29/10, 877/8, 119/5, 61/10, 94/5, -7, -19963/160, 
  -12779/160, -86, 9323/160, -5597/40, -7091/40, -7647/20, 1631/10, 4381/20, 
  -9/20, 9/20, 9/20, -17/20, 10, 163/160, -27/20, -19/20, -4/5, -1317/160, 
  -67/20, -31/5, 31/5, -13/20, -9/10, -119/20, 9/10, -143/20, 13/40, 
  1679/160, -67/40, -9/10, 9/10, 9/10, 27/8, 27/8, -27/8, 17/40, 9/5, -7/40, 
  -9/5, -1/4, -11/10, -27/40, 31/20, 27/40, -27/40, 27/40, 27/40, -3/2, 
  -11/10, -17/5, -5/2, -163/160, -163/160, -237/20, -5/4, 111/10, 49/4, 
  17/20, -10, -163/160, -81/20, 19/20, 4/5, 1317/160, 67/20, 9/5, -9/5, 
  -11/10, -27/20, 31/20, 27/20, -27/40, 27/40, 17/40, -29/40, -393/40, 
  -31/40, 393/40, 3/2, -111/160, 393/40, 1219/160, 259/160, 167/20, -777/40, 
  -283/20, 133/20, -73/20, -133/40, 24/5, -17/4, -931/160, -109/20, -551/40, 
  21/4, 27/2, 53/8, -39/10, -567/40, 121/40, -571/40, -41/8, 437/160, 
  -1087/160, -93/20, 37/10, 114/5, 209/20, -21/20, 18/5, -19/20, -18/5, 2, 
  17/32, 9/10, 1203/160, 19/160, 53/5, -111/10, -11, -7, 7, -9/20, 9/10, 
  63/10, 19/160, -19/20, -2/5, -59/40, -721/160, -117/40, -37/40, 23/20, 
  -9/10, 29/40, -23/4, 29/20, 109/40, 9/4, -47/40, 163/40, 33/40, -83/40, 
  7/20, -631/160, 83/40, -93/32, 27/40, -23/40, 63/40, 87/10, 2/5, -83/20, 
  -37/4, 11/8, -29/160, -97/10, -31/10, -287/160, -159/40, 59/20, 33/20, 
  311/40, -21/5, -11/8, 91/10, -79/40, -527/160, 9/20, 17/10, -2/5, 5/8, 
  409/40, -11/8, 239/80, 263/40, 7/10, -59/20, -33/20, -9/2, 17/40, -22/5, 
  -7/40, 22/5, -1/4, 6/5, 73/40, -21/5, -1/4, -9/20, 93/40, -209/40, 3/5, 
  21/8, -93/32, 761/80, -23/10, 157/160, 67/40, -67/40, -22/5, 22/5, 6/5, 
  -21/5, -9/20, 22/5, -1/2, -2/5, 761/80, -11/40, 157/160, -61/20, 19/40, 
  -1/4, 2/5, -1/4, 23/4, -11/8, 1/8, -2/5, -33/20, 3/5, 22/5, -22/5, -29/4, 
  -341/80, -4, 137/40, -71/10, -131/40, 3, 5343/160, 67/20, 57/320, -9/20, 
  9/20, 9/10, -57/160, 9/20, -9/20, 57/320, -253/40, 7/80, 259/40, 69/20, 
  1147/240, 57/40, -1847/480, 761/120, 103/24, -233/180, -964/45, -67/40, 
  -59/60, -67/60, 5/9, -8, 8, 7/2, 141/40, 53/20, 27/32, 71/10, 5/8, -5/2, 
  -2549/160, -23/10, -27/10, -131/40, 26/5, 131/40, -5/2, 67/20, -67/20, 
  -147/20, 63/10, 151/20, -63/10, -1/5, 131/16, 309/80, 187/80, -3/80, 
  4509/160, 131/40, -4637/160, -3949/160, -67/20, 67/10, 2/5, 19/20, -147/10, 
  -1/5, -271/80, -23/32, -49/10, 59/20, 69/20, 49/10, -83/10, 147/10, 87/10, 
  -147/10, -2/5, 2041/160, -181/16, -677/160, -649/160, 4037/160, 131/40, 
  -817/32, -3541/160, -67/20, 33/4, -181/16, 9/20, -649/160, 27/10, 131/40, 
  -5/2, -3817/160, -67/20, 9/160, 369/160, 9/20, -9/80, -369/160, 9/160, 
  -453/160, 4479/320, -61/40, 6781/320, 51/40, -381/80, -9/4, 549/160, 
  -1137/320, -6917/320, -441/160, 9/160, 9/16, -387/80, -18/5, -9/8, 387/80, 
  9/16, 361/160, 173/320, 9/4, 2041/320, 9/5, -53/160, -21/40, 2063/160, 
  33/64, -757/64, -1641/160, 99/160, -17/20, 173/320, 227/20, -53/160, 63/20, 
  -19/20, -173/160, -43/20, -1101/160, -899/320, 46/15, 10897/720, -107/60, 
  3583/360, 2027/360, 3673/720, -5557/1440, -127/10, -13/10, -715/72, 
  -339/40, -94/5, 17/20, 97/60, 587/90, -1141/80, 469/72, -982/45, -2567/360, 
  -4745/288, -7147/720, -247/144, 7501/1440, -21/10, 5051/360, 279/10, 
  577/20, -17/20, 46/15, 3203/360, -107/60, 685/36, 833/90, -49/36, 
  -2609/288, -13/10, 29/45, -357/20, -131/20, -3/2, 99/16, -11/10, -83/40, 
  -2, -1089/160, -51/32, -2/5, -237/20, 339/40, 51/10, 507/20, -17/20, 
  -23/40, 99/16, -61/8, 1/20, -1089/160, -247/40, -2/5, 21/40, -91/40, 33/20, 
  1461/160, 117/40, -32571/2560, 1513933/22400, 307923/6400, -249899/179200, 
  -2315809/51200, -30731/10240, -4623/400, -9609/200, -40569/1600, 
  -4602089/44800, -70127/1400, -2493/2560, 9751271/358400, 2275409/44800, 
  3573/640, -4205401/224000, -27495157/1792000, 60683/3200, 51/40, 46069/800, 
  9609/400, 39839/400, 341933/22400, -265087/4480, -1051/640, 
  -10891653/179200, -19786731/179200, -7551/5120, 677041/6400, 643969/7000, 
  -16543967/896000, -317783/6400, -17/40, -12271/800, 9609/400, -39009/1600, 
  613607/8960, 817689/22400, 419/2560, -6978057/358400, -6348547/179200, 
  14589/5120, 677/20, 94647/6400, 2505281/44800, 3006971/358400, -45311/1280, 
  67/60, -5377/240, -391793/49920, -1267057/149760, 9/10, 59/8, -23/20, 
  -59/8, -23/4, 127/160, -31/5, -1647/32, -207/160, -353/40, 337/20, 
  -43219/160, 1611/40, 753/10, 8/15, 67/60, -211/180, -67/60, 13/18, 
  -1528067/149760, 67/60, 332047/149760, -443951/149760, -1529/936, 
  -685361/149760, 9551/2340, 605723/49920, -7/72, -14631/1040, 
  2322863/149760, 248977/49920, 32169/3328, 22523/4992, -2480111/149760, 
  -663781/74880, 79/60, 491/60, -331/90, -119/15, 41/18, -47/30, -134/15, 
  25/36, -985757/74880, 1289/960, 367207/24960, -408631/29952, -312003/16640, 
  -3/4, 1, -47/30, -134/15, 25/36, 36967/9360, -2429/320, 1609/720, 
  -408631/29952, 200819/29952, 6, 93/2, -3/5, 5763/20, 45/8, -42/5, -102/5, 
  -57/8, -3/5, 1569/40, 987/20, 831/10, 29739/160, -399/5, -147/2, 147/20, 
  199/10, 73/20, -259/10, -17, -1009/32, -533/10, -663/32, 3933/160, -538/5, 
  -941/5, -446/5, 549/5, 9/5, -14/5, 14/5, -13/2, -303/10, -437/20, 2397/160, 
  1, 49/20, -173/10, 1931/40, -77/5, -4/5, 289/40, -317/40, -1, -29/10, 
  27/10, 131/40, -5/2, 4/5, -845/32, -2/5, -67/20, 349/160, 1, 563/320, 
  49/40, 117/160, -9/10, -349/80, -6/5, -2211/320, 11/8, 39/16, 209/80, 
  349/160, 33/20, -39/16, 5/2, -499/40, -81/20, 43/10, -69/40, -2051/480, 
  -73/40, 169/160, 7/10, 9/20, -37/15, 95/24, -2/5, 7/36, 38/5, -11/8, 
  25561/1440, 709/72, 487/180, 2035/288, -39/40, -59/20, -33/20, -147/40, 
  27/160, 4819/400, -189/20, -57/40, 30927/3200, 16221/896, -38729/3200, 
  1339619/44800, 915689/44800, -37/80, -215551/25600, -7425963/179200, 
  -235097/25600, -5619351/51200, -15571203/358400, 5699/5120, 5084603/358400, 
  8854011/358400, 369/256, 1781/40, 958303/6400, 127061/1600, 1510367/8000, 
  2115813/32000, -16750093/224000, -6182817/128000, -4089431/64000, 
  -242215223/1792000, -45540553/1792000, -411041/6400, 106299/3200, 
  21295411/224000, 37579901/896000, -146383/3200, -11/10, -67/20, 37/20, 
  67/20, -2/3, -29/24, -67/30, 7/36, 1357/1872, 1050479/74880, -67/20, 
  -27533/9360, -1260143/74880, 13/6, 437507/149760, -67/60, -457937/149760, 
  -427997/74880, 1159/60, 147/40, -23329/9984, -17/8, -2, -31/5, -44/5, 
  -871/40, -321/40, 1637/160, 2/5, -23/5, -1921/20, 111/8, 7/2, 2239/40, 
  -499/40, -18/5, 27/5, -63/2, -61/2, -87/20, 1/320, 197/40, 2011/80, 101/20, 
  347/40, 941/40, -163/320, -53/32, 27/10, 107/8, 61/2, -41/10, 91/40, 23/40, 
  -2317/160, -5371/160, -89/40, -81/10, -1743/40, 85/8, 163/10, 477/20, 
  44617/3120, 67123/8320, -26893/2340, -178541/24960, 27073/9360, 
  -769163/49920, -134/15, 436337/49920, -491923/11520, 1489/120, 
  718829/29952, -102263/8320, 199153/24960, -2/5, 23/5, 2/5, -43/5, -1711/40, 
  2/5, -757/40, 971/40, 18/5, -1957/10, -27/5, 119/60, -20867/1440, 235/12, 
  -10087/576, -769/72, -15491/1440, 1259/45, 597/40, 81/8, 20767/720, 
  1797/320, 133/32, -3961/160, 747/8, 918299/3200, 114071/1600, 2518689/8000, 
  21922631/224000, -7136299/56000, -3092771/32000, -57489889/896000, 
  -237234799/896000, -5744991/128000, -443501/3200, 143549/3200, 
  36726141/224000, 45355221/896000, -188693/3200, 29327/4680, -992993/149760, 
  67/15, -5397/1040, -1700471/149760, -14683/9360, -2371/416, 361045/14976, 
  -3062557/149760, 27929/29952, -571369/149760, -1702889/74880, 432325/29952, 
  -421/40, 7/5, -167/20, 243/160, -17/40, -33/2, -4463/160, -185/4, -309/4, 
  -6239/80, 6939/80, 753/10, 29/15, -12977/360, -1069/180, -26/45, 3557/360, 
  39197/720, 25891/720, 73903/1440, -20897/720, 1225/18, 299/4, 43499/160, 
  -14401/180, -753/10}}
