{{1, 4/3, 4/3, -1/3, -2/3, -5/6, 2/3, -2/3, 5/6, -5/3, -2/3, -1/6, 1, 1, 1/6, 
  -1/6, -1/2, 13/24, -5/12, -3/4, 3/2, -4/3, 1/6, -5/4, -3/8, 1/24, -1/12, 
  -7/24, 1/12, -1/3, -1/24, -3/4, 1/24, 17/12, -1/6, 1/2, -17/24, 13/24, 
  -7/12, -7/12, 23/6, -16/3, 1/8, 5/3, 2/3, 7/4, -10/3, -11/24, 55/8, 5/3, 
  89/24, 1, 1/12, -11/3, 16/3, 1/2, 19/24, 8/3, -5/3, -16/3, 1/8, -2/3, 5/3, 
  2/3, -1/12, 47/24, 17/4, -143/24, -41/6, -5/4, -11/12, 169/24, 5/2, -47/24, 
  7/24, 55/8, 37/24, -7/24, 13/48, -1, 3/4, 3/16, 49/96, 1/3, -1/3, -3/4, 
  -41/96, 1/3, -13/48, 65/96, -5/4, 3/4, -19/48, 49/96, 5/24, -25/96, -17/96, 
  1/2, -5/8, -49/96, 7/32, -37/48, 79/24, -15/4, 11/24, 1/2, -3/16, 53/24, 
  -3, 5/6, -89/32, 115/24, 83/48, -1/8, -5/16, 5/2, 7/6, -13/32, -1/4, 41/96, 
  -7/32, 13/24, 23/24, -1, -67/24, 1/2, 3, 7/32, -5/24, -41/96, -23/24, 
  67/96, 41/96, 71/24, -5/8, -3, 41/96, 41/96, -89/96, 1/8, 1/2, 7/32, 
  -19/12, 13/96, -23/24, 49/16, -13/96, 71/24, -3, -3, 25/24, 133/96, 
  -125/96, -29/16, 21/8, -41/96, 1/8, 103/48, -1/8, 25/24, -37/48, -83/48, 
  15/32, 5/2, 5/24, 13/24, 79/48, -1/3, 61/96, -5/24, -5/48, -1/8, -1/2, 1/8, 
  13/12, 5/48, 5/32, -7/6, -13/24, 5/12, 3/8, 139/96, -1/6, 2/3, -1/4, -3/2, 
  -41/48, 1/6, 2/3, 5/48, 7/16, 3/2, -65/48, -41/12, -1/2, 21/8, -23/48, 
  91/24, -1/48, -15/4, -113/32, 13/16, 13/4, 11/24, -5/16, 7/96, 1/2, 163/48, 
  -341/96, 29/16, 29/6, -33/32, -7/96, -143/96, -1/24, -7/96, -9/32, 1/12, 
  9/16, 1/24, 73/192, -25/96, -9/8, 13/48, 5/8, 13/192, 19/24, 3/64, -5/8, 
  -3/64, 1/24, 11/48, 9/32, -55/96, 17/48, -3/2, 7/192, 7/32, 23/96, -39/64, 
  3/4, 17/32, 49/192, 5/16, -49/192, -5/32, 7/192, 47/96, 5/4, 143/192, 1/4, 
  -9/64, -25/192, -7/192, 1/4, 4/3, -2/3, 1/12, -1/6, 1/3, -1/12, -1/6, -1/6, 
  5/6, 1/2, -1/6, 1/6, 1/2, -1, 2/3, 11/12, -5/6, 1/12, 7/2, -5/3, 14/3, 1/6, 
  -1, 1/3, -8/3, -1/12, 1, 3/4, 2/3, -1/6, -1/12, -2/3, -1/2, 5/6, -5/3, 
  11/6, 7/6, -1/12, -1, -1/2, 1/2, 1/2, -1/32, 71/32, 1/12, -3/16, 91/96, 
  -5/24, 1/32, 3/8, 49/96, -1/16, -25/32, 55/48, -59/96, -33/64, -11/32, 
  -1/24, 31/48, -49/48, -37/96, 11/96, -49/96, 5/48, -17/96, -63/64, -55/32, 
  5/12, 1, -55/96, 33/64, -119/16, 55/48, -11/96, 1/4, -33/64, -11/32, 
  161/96, 13/16, -31/24, -85/32, 803/192, -37/96, 305/96, -49/96, -17/24, 
  93/64, 193/96, -63/64, -97/64, -7/24, -1/4, -5/6, 1/4, 29/12, 1/3, 19/48, 
  1/3, -1/2, 197/48, -1/3, -1/3, -1/3, 5/24, 7/16, 29/48, -35/48, 29/96, 
  5/24, 25/24, -491/96, -45/16, 1/48, 7/48, -95/48, -59/96, -17/96, 1/6, 
  -13/24, 7/12, 13/9, -49/18, 3/2, -1/6, 59/24, 3/8, -43/16, -4/3, 11/3, 
  -43/16, 3/2, 5/12, -25/6, -1/4, 1/3, -7/6, -27/25, -433/240, 2333/100, 
  181/75, 4373/800, 12991/4800, -11/3, 12809/4800, 1/30, 2179/200, 4699/1200, 
  104/25, 81559/7200, -50111/2400, 68941/1200, 15001/480, -4151/1200, 35/48, 
  28829/900, 254933/3600, -35/12, 5/4, 13/5, -73/48, -311/400, 3/2, 7/24, 
  -161/200, 65/96, 11791/4800, -3, -1739/120, 8859/1600, 283/600, -6227/960, 
  1075/192, -29377/4800, -1015/192, -91/60, -869/600, -7487/1200, 713/400, 
  -137/150, -193333/14400, 2577/160, -2099/75, -96379/4800, 4151/2400, 
  -49/48, -24329/1800, -201443/7200, 35/24, -1/2, -1/4, 35/12, 5/8, -14/3, 
  23/24, -9/5, 3/2, -19/4, -443/600, 32/3, 37/40, -16733/4800, 57/25, 
  -39/1600, 37/12, -5/3, -133/12, 13/2, 50/3, 319/48, -59/300, -57/2, 
  -16153/2400, 47/12, -7/48, -201/8, -271/15, 7/12, -3/4, 3/2, -5/4, -23/18, 
  37/18, 1/4, -1/12, 15/4, -41/6, -17/24, 15/4, 5/4, -47/24, 55/8, 31/12, 
  -7/24, 491/36, -1/12, 2/3, -13/8, 1, 2/3, 55/24, 7/4, -13/24, -1/3, 17/36, 
  -5/18, -7/24, -7/72, -53/36, -2/9, -41/36, 29/24, 37/24, 19/12, -3/16, 
  -23/96, -23/96, 7/24, 167/96, -1/16, -25/32, -5/48, -15/64, 2/3, 25/96, 
  1/2, 55/32, -35/16, 49/96, -5/12, -41/48, -9/64, -187/96, 1/6, 3/32, 5/48, 
  11/24, 37/32, -71/96, -227/48, 61/96, 9/2, 349/192, 3/16, -209/48, 
  -299/192, 247/96, -65/32, -49/64, 325/192, 25/96, -1/96, 1/192, 131/96, 
  -17/96, -15/4, -2/3, 7/32, -155/192, -191/192, -7/192, 1/32, -157/96, 
  -1/144, -19/36, 3/4, 41/96, -1/3, -1/32, 373/480, -1/4, 7/96, 1067/1200, 1, 
  13/16, -1679/600, -3, 5/16, -739/320, 2487/1600, 229/96, 63887/2400, 
  5039/4800, -109/16, -7/25, 73/12, 2657/960, 6517/1200, 191/4800, 
  -95567/2400, 10291/4800, 259/75, -47123/4800, 25093/4800, -263/80, 
  -1591/200, 1/4, -113/480, -467/800, 39/16, 8687/800, 11699/2400, -187/24, 
  917/150, 47/6, -107/96, 41543/4800, -17937/800, -685/16, 305143/4800, 
  -1202/75, -12731/450, 112529/1600, -470071/4800, -11441/200, -1, 2027/4800, 
  7/12, -1463/120, 8239/300, -127/10, -45737/2880, 233977/2400, -972257/7200, 
  -991139/7200, -1/6, -371/96, -7301/180, -55373/720, 7/2, 7/32, -23/24, 
  71/24, -3, 25/24, -83/48, 5/2, 61/96, 13/108, 71/216, -89/54, -22/27, 
  -5/24, 1/2, 7/12, 29/9, 70/9, -7/27, 133/72, -323/216, -13/36, 4/9, 
  161/108, 109/27, -89/108, 79/54, -11/72, 2/9, 73/54, -4/9, 2/9, 1/432, 
  1/32, 43/864, -1/8, -223/432, 1/12, 19/27, 5/16, 11/64, -1687/864, 13/144, 
  341/144, -35/72, -19/27, 29/192, -139/288, -5/48, 155/576, 29/72, 41/96, 
  -155/576, -1/432, -1/12, -91/288, 95/288, 649/432, -59/72, -3/2, -53/1728, 
  -41/144, -283/288, 113/576, 475/216, 95/96, -49/192, 229/144, 115/576, 
  5/96, -7/576, -113/288, 7/144, 5/4, 133/192, -1/4, 71/576, -41/576, 7/576, 
  29/144, -11/4, 17/2, 3/4, -17/2, -15/2, 53/4, -4, -27/4, 57/16, 609/16, 
  15/4, -15/4, 223/24, 19/2, -161/3, -815/48, 283/12, -5, -411/16, 211/16, 
  -363/16, -85/4, 13/4, 3/4, -27/16, 7/4, 67/12, -67/6, -35/16, -17/2, 55/16, 
  -43/12, 281/24, -147/16, -157/16, -3/4, -1/2, 1, 4/3, 1/6, -1, 71/8, -71/4, 
  8/3, 51/8, -23/2, 2, -27/8, -1, 1877/480, -3/2, 1/2, 667/300, 3, 11/4, 
  -11117/1600, 93/32, -1093/240, -439/1200, 5921/200, 1863/400, 12013/2400, 
  46673/4800, 597/1600, -1339/1200, 4257/400, -2023/240, -12277/1200, 
  5309/300, 55577/2400, 5921/400, 68941/2400, -24237/800, 95489/1200, 
  63991/1200, 273/100, -707/192, 88841/2400, 243173/2400, 47/96, 97/16, 
  367/144, -25/36, 41/8, 47/72, 55/72, -1669/48, -99/8, 25/16, -523/32, 
  -1417/288, 469/48, 61/9, 229/8, 857/96, -5/2, -161/12, 5/2, -1621/96, 
  -119/16, 553/48, 25/16, -493/192, 617/96, -61/8, -391/96, 1085/96, -715/48, 
  -215/32, -445/48, 53/4, -19/64, 1/8, 71/288, 19/32, -1/18, -185/288, -3/16, 
  -383/288, -155/288, 103/96, 47/32, -1/192, 1/32, -1/32, -3/8, -261/40, 
  41/18, 77/48, -1477/1800, -68/9, -23/24, 5533/900, 1, 889/120, 13/400, 
  -98227/2400, 1637/400, -2197/600, -51223/4800, -3197/1600, 10103/2400, 
  -1591/200, 99/20, 1613/300, -6687/400, -23551/1200, -1871/400, -27683/1200, 
  81811/2400, -237403/2400, -27233/600, -8803/3600, 51/8, -343673/7200, 
  -39733/400, -5/16, 21/16, -223/48, 253/24, -9, 5/8, 183/32, -49/8, -41/32, 
  11/4, 25/4, -261/32, 63/8, -133/32, 403/32, -5/8, 81/32, 79/16, -93/32, 
  -5/8, 139/72, 5/2, -62/9, -13/24, 11/96, -23/24, 163/96, -5/3, 15/4, 
  -139/48, -1/12, -15/16, 41/48, 29/36, -289/96, 323/96, 311/288, -7109/2880, 
  63169/7200, 119/24, 187/800, -407/192, 43/16, 11/8, -1529/480, -6467/400, 
  4363/900, 56143/4800, 4847/4800, -89/576, 5571/800, 56239/7200, -23/12, 
  -23/72, -3133/1440, 1, 565/288, 1999/1800, -7/2, -301/144, -607/900, 7/3, 
  1073/576, -12733/7200, -11713/1440, 25733/7200, -103/150, -53/96, 
  -13547/4800, 17/18, -215/24, 104/9, 101/48, 1/8, -7/9, 47/8, -245/32, 7/6, 
  11/8, 481/96, -1/3, 29/12, 557/96, 25/24, -5/8, -2153/480, 37/12, 353/75, 
  -14/3, -2501/400, -911/800, -3289/800, 5839/600, -1869/100, 9, -245/64, 
  -193/32, 2885/96, 131/48, -1981/192, 5/2, 131/12, -725/64, 481/64, 313/32, 
  367/480, -469/100, 3537/800, 347/50, 6223/400, 44327/2400, -14, 67133/4800, 
  30897/1600, 11129/1600, 25033/2400, 21391/600, -7/4, 23/2, 5/4, -121/8, 
  -11/8, -11, 341/96, 23/4, 3/2, 57/16, 25/16, 69/16, -129/32, -1/2, -1/12, 
  1/3, -2/3, 1/12, -1/4, 1/12, 1/3, 1/2, 1/3, -1/2, -2/3, -1/2, -2/3, 2/3, 
  -1/2, -1/3, 35/192, 67/384, -1/3, 61/384, -35/192, 19/96, 1/12, 1/128, 
  -1/3, -1/12, -35/192, 67/384, -1/128, 1/128, 1/6, -35/192, 35/96, -35/192, 
  35/192, -35/192, 73/384, -1/128, -1/128, 35/192, 1/128, -17/32, 1, -53/144, 
  -1/18, -19/24, 133/288, 739/1152, 1/6, -73/128, 1/3, 1337/2304, 149/384, 
  2/9, 1223/2304, 2/3, -1/3, -2/9, -2629/2304, 1/3, 703/1152, -2/9, 
  -2117/2304, 1/3, 575/576, 149/384, 1/12, -1/64, -1/128, -1/3, 473/576, 2/3, 
  1/12, -1/64, -67/192, -1/6, 269/576, -73/384, -5/24, -55/1152, 1/2, 
  -421/1152, -1/6, -35/192, 3/8, 65/384, -1/6, -1021/1152, -35/288, 1/3, 
  -35/192, -1/2, -1/6, 35/96, 1/2, -35/192, -1/6, 35/192, 5/6, -35/192, 
  -19/96, -1297/2304, 2/3, -7/96, 1, -1/6, 59/384, -7/96, -1/64, 103/2304, 
  1/48, 365/2304, 1/3, -13/48, -59/96, -1/3, 1051/2304, -1/48, -145/768, 
  -1/6, 1/2, 673/2304, -1/2, 7/36, 35/1152, -1/2, 7/36, -35/384, 35/384, 
  -35/384, 35/384, -17/48, 5/12, 41/1152, 1/2, 13/24, 2791/23040, -3/8, 
  -469/5760, 289/768, -35/192, 83/288, -65/144, 2747/4320, -1/12, 1/24, 
  15811/34560, 9/16, -114359/69120, -9/8, -4957/5760, -16081/17280, 
  35899/23040, 7973/17280, -83/288, 869/2880, 107/144, -2747/4320, -1/2, 
  5327/5760, 1649/8640, 6631/34560, -21499/17280, -1213/5760, 103/360, 13/96, 
  -10081/11520, -7973/34560, -2/3, 259/80, 9/8, -3/32, 471/256, 7973/8640, 
  17/24, -33/5, -9/8, -4957/5760, -7973/6912, 269/80, 7973/17280, -13/96, 
  221/240, 83/1728, 17/24, -421/120, -3/8, -10201/11520, -10219/34560, 
  917/240, 1031/3840, -527/11520, 6313/34560, 5/16, -1627/34560, -5/16, 
  -55/2304, 1/2, 7/48, -1/4, -1/2, 631/2304, 5/16, 45/256, 1/3, 5/24, 
  -5609/11520, -11/12, 209/1920, -175/1152, -1/2, 769/1920, 5879/11520, 
  7973/34560, -13/96, -11557/23040, -173819/69120, 7/48, -49703/23040, 
  -7973/34560, 187019/69120, 41573/23040, -3427/3840, -359/6912, 39473/23040, 
  259409/69120, 14609/34560, -4341/2560, 1151/5760, -6239/17280, -35/384, 
  -1151/5760, -1/36, 16777/11520, 2747/4320, 149/144, -4051/8640, -7/24, 
  1/36, -1261/11520, 127673/69120, -95/144, 94/27, 23/24, -14431/11520, 
  -25507/5760, -39413/17280, 39187/34560, 1/36, -22097/11520, -8381/8640, 
  -191/144, 30377/17280, 11/24, -2627/3840, -12433/8640, -62453/17280, 
  -9689/34560, 847/1152, 41113/34560, -121/96, -2113/1280, -19/64, -29/72, 
  -1853/5760, 67/768, 269/144, 13577/8640, -23/24, -35/144, 11347/11520, 
  15701/17280, -53/144, -100201/34560, 23/24, -14431/11520, -18401/8640, 
  45893/34560, 39187/34560, 29/72, -173/240, -3107/3840, -287/144, 4873/8640, 
  41/24, -6191/11520, 7331/13824, -12067/34560, -8837/34560, 1201/1152, 
  5077/3840, -197/96, -1975/1152, -43/192, -5/72, 1349/2880, 2747/8640, 
  -79/144, 4007/8640, 9/8, 7973/34560, 249/640, -29269/69120, -7973/34560, 
  -42133/69120, -18869/23040, -5213/11520, -2747/8640, -53/48, 3089/17280, 
  18869/23040, 1003/3456, -18869/11520, -3667/11520, -26203/23040, 35/384, 
  7/96, 3667/11520, -3667/5760, -4717/11520, 35/384, -35/384, 5879/11520, 
  -5/24, 4057/23040, -2177/2304, 5/12, -9269/23040, -5879/11520, -7897/23040, 
  1985/1152, 14069/11520, -1793/2304, -18869/23040, -899/1280, -2127/1280, 
  323/1920, 18869/23040, 553/2880, 5879/11520, 18869/23040, 22327/23040, 
  -18869/23040, -5879/11520, -26203/23040, -97/768, 18869/23040, 3667/11520, 
  3667/11520, -553/2880, -26203/23040, -3667/11520, 3667/11520, -3667/11520, 
  -71/288, 11381/11520, 2747/8640, 239/144, -24779/17280, -5/3, -43/288, 
  -5987/5760, -49/3456, -125/144, 129131/34560, 5/3, -4517/11520, 
  -33739/34560, -79573/34560, 7747/11520, 71/288, -1757/960, -2887/8640, 
  -185/144, 64199/17280, 25/12, 17/48, 329/480, 30469/23040, -5/12, 
  -44783/17280, -41/1152, -11897/8640, -18869/11520, 9703/11520, 1579/6912, 
  -1/2, -247/96, -80059/69120, -14549/11520, -533/960, -163/768, -2617/5760, 
  1/3, 35/192, -1/6, -1/12, -35/192, -1/3, 1/6, -35/192, -1/2, -1/3, 1/2, 
  -2/3, 1/2, -2/3, 1/12, 1/2, 1/3, 2/3, -1/2, -2/3, 1/16, -55/2304, 1/12, 
  5/48, -1/12, 55/2304, 175/1152, -2/3, -1/2, -1/3, 1, -2/3, 1/2, -2/3, 5/12, 
  1/3, -1/12, -1/4, 1/3, -13/96, -201/512, 197/576, 2123/4608, 457/576, 
  -1/12, -1523/1152, 1223/1152, -457/576, -1729/2304, 1313/1152, 1069/576, 
  1729/2304, -265/768, 1/1536, -2/9, 167/512, 1991/2304, 1067/2304, 125/768, 
  -281/1536, 235/512, -125/768, -265/768, -2/9, -433/1152, 1/3, 1067/2304, 
  125/768, -35/192, 149/384, -125/768, 703/2304, -815/576, 85/512, 1223/1152, 
  -1543/2304, -3215/4608, 1607/2304, 4847/4608, 407/1536, -511/1536, -11/24, 
  -329/1536, 1/3, 89/288, -185/768, 3829/4608, 155/576, 357/512, -1/1536, 
  37/768, 3209/4608, 281/1536, -1/12, 2305/4608, 377/1536, -11/24, 
  -14773/4608, 1/3, 331/576, -1477/4608, 9631/4608, 73/288, -3145/4608, 
  -1277/576, 3965/2304, 2783/768, 8245/4608, 3/16, 475/2304, -1/12, -1/6, 
  -209/2304, 35/192, -17/48, -45/256, 5/12, 1231/2304, -35/1152, -73/384, 
  -1/1536, -3235/4608, -1223/2304, 1/128, 1/128, -93/512, -109/1536, -1/128, 
  1/6, 13/96, -7/6, 201/512, -485/576, -2123/4608, 149/768, 35/32, 1/2, 
  -1177/576, -1/2, 1/6, -361/512, 457/384, 1/32, -143/256, -3595/1536, 
  2159/2304, 10045/4608, 4591/4608, -1/12, -67/384, -67/384, 67/384, -67/384, 
  35/384, 43/512, 73/1152, -1/128, 179/1152, -59/128, 1/6, -2365/4608, 
  149/768, 43/128, 29/72, 5/768, -2/9, -35/192, 9/128, 637/1152, 1/64, 
  -43/128, 349/768, -55/384, 41/96, -197/768, 29/72, -479/2304, -2/9, 
  -35/192, 1/16, 637/1152, 1/64, -41/96, 211/384, 1541/2304, -13/96, -75/256, 
  -35/144, 17/384, 1/9, 1/6, -143/2304, 35/144, -245/768, 2/9, 143/2304, 
  211/768, -19/96, -1297/2304, -7/96, -2/3, -1/6, 59/384, -7/96, -1/64, 
  103/2304, -1/6, 1, 3/4, -193/1152, -5/12, -1/3, 35/192, -19/96, 2/3, 
  149/192, -2/9, -1223/1152, 1/3, -383/768, 135/128, 2629/1152, 389/768, 
  -703/576, -1261/2304, 2591/2304, -1/3, -527/2304, -149/384, -3/2, 
  2669/1536, 109/144, -3/32, -233/384, 5/18, -8969/1536, -1, 26495/4608, 
  -149/128, 1/12, -1/3, -1/12, 2/3, -2/9, 1/3, 61/768, 149/384, -1/6, 
  -149/768, 1/8, 13/12, -1/6, 1/48, 4/3, 1/2, 13/32, 13/32, 3/2, -563/768, 
  -17/24, -5/3, -7177/2304, -2/3, -20093/9216, 1387/1152, 4769/1152, 
  -49397/4608, 2/9, -29/12, 1223/2304, -1/4, 483/256, 9941/3072, 9349/2304, 
  -483/256, -881/192, 5285/2304, -42895/9216, -20275/9216, -2717/3072, 
  -52807/9216, -2063/2304, 5917/3072, 6943/9216, -1/3, -18889/3072, -3, 
  29881/4608, -2653/576, -3451/192, -10679/9216, 74495/4608, 85823/9216, 
  -1/8, 37621/9216, 383/1152, 1, 14803/9216, 2, -44275/9216, 9691/3072, 
  3845/3072, -35677/9216, -10733/2304, 84557/4608, 3095/4608, -36049/1536, 
  -90775/4608, -1/8, -8407/4608, -79/768, 1/2, -4459/4608, 2/3, 2953/1536, 
  3185/4608, 2773/512, -2711/4608, 41987/9216, -767/1536, -1505/1152, 
  -7033/4608, 15737/1536, 1/6, 4343/9216, -539/1152, 3/2, 1701/1024, -2/3, 
  -1339/2304, -3487/3072, -29021/9216, 14989/9216, -859/1024, -16003/4608, 
  -1085/576, 16469/4608, 1969/4608, 5/16, 55/768, 1/12, -29/48, 421/1152, 
  -37/12, 365/2304, -1/24, -185/576, -17/6, 1021/1152, 35/288, 6103/9216, 
  67067/9216, 35/96, -5149/3072, -16319/9216, 1/3, -13799/9216, 51319/9216, 
  1157/288, -24761/4608, 3665/1152, 208543/9216, 10679/9216, -50917/3072, 
  -85823/9216, -1/24, -32725/9216, -383/1152, 1/2, -11411/9216, -7/3, 
  8567/3072, -44777/9216, 9649/9216, 5709/1024, 10733/2304, -2785/256, 
  -3095/4608, 5117/256, 90775/4608, 1/12, -1/3, 1297/2304, -17/6, -301/288, 
  -1, 8519/4608, -5/144, 65/144, 5/144, 1/6, -35135/4608, 71/96, 24125/4608, 
  -103/2304, 1/6, 11/18, 13/36, 301/768, 3499/4608, 2887/2304, -301/768, 
  -2887/2304, 4795/4608, -1579/4608, 1/64, 1/12, -2611/2304, -1/4, 1/3, 
  3307/2304, 15461/4608, -1/3, -3413/1536, 2153/2304, -2153/2304, -5/9, 
  -1/18, 19/18, -3115/4608, 1/18, 3115/4608, -1/6, -977/1536, 5/6, 9161/4608, 
  417/512, -101/768, 1/6, -251/1152, -149/768, -2555/2304, 11/18, -2/9, 1/36, 
  2665/2304, 2/3, 4139/4608, 10861/4608, -2179/1152, -479/256, -649/1536, 
  1873/2304, -13/32, 13/384, -989/1152, 11/18, -2/9, -1223/2304, 37/36, 
  557/768, 4523/4608, 1379/576, -557/768, -477/256, 4795/4608, 2117/2304, 
  -5813/4608, 1/64, 1/36, -889/2304, 1895/2304, 361/512, 889/2304, -361/512, 
  -1873/4608, 243/512, 1207/2304, 2767/4608, 3503/4608, 35/384, -833/2304, 
  35/192, 3169/4608, -1/12, -17/64, -67/768, -1/36, -889/1152, 3503/4608, 
  263/576, 889/1152, -851/2304, 17/64, -2821/4608, 89/768, 523/576, 
  3223/4608, 11/108, 55/2304, -1/9, 1/27, -1651/13824, 1/9, 1321/13824, 
  -29/108, 1123/13824, 1/9, -11/1152, -1453/13824, -7/36, -11/9, 2663/4608, 
  -563/1536, 2663/4608, -149/768, 1/8, 7/6, 1/48, 4/3, 13/32, 1/8, -1/2, 
  -17/12, 4211/4608, 97/192, 5/24, -47/192, 5/6, 47/192, 1271/768, -1271/768, 
  17/64, -863/768, 307/128, -19/96, 1175/768, 5/9, -35/192, 1/18, -5/9, 
  35/96, -1/18, -35/192, -7/18, 35/192, 5/18, 257/1536, 31/192, 3233/4608, 
  -73/192, 1141/768, -1529/768, -3/256, 197/48, 515/256, 19/192, -19/128, 
  -31/32, 13/32, 175/192, 1/64, 537/512, 587/1536, -79/192, -517/256, 
  -587/1536, 513/256, -175/192, 851/768, -179/128, 73/192, -863/768, 91/576, 
  67/768, 1/24, -4063/4608, -163/576, -191/64, 4063/4608, 2225/768, -91/576, 
  941/768, 7753/4608, 2153/1536, -1571/768, 35/96, 1/64, 35/96, -73/36, 
  -19/36, 25/32, -2177/768, 313/2304, -1/48, -8579/4608, -3433/1536, 
  -487/768, -745/1536, -347/576, 5/8, 3605/2304, 65/96, 1213/576, -3605/2304, 
  -433/288, 745/1536, 1847/2304, -1909/4608, -10993/4608, -179/192, -647/384, 
  -80233/13824, -379001/69120, 14273/8640, -79639/34560, -2831/960, 
  14047/8640, 4121/5760, 2237/11520, 1/64, -1/48, -14417/23040, 787/34560, 
  -3/8, 21493/23040, 3/2, -7/32, 15563/23040, -3701/2560, -11/48, 
  -39647/7680, 241/768, 43769/34560, 17357/5760, -11/1536, -1/48, 391/576, 
  -359/384, 16421/4608, -12127/3840, 72505/13824, 16817/23040, -1753/23040, 
  65221/23040, -1327/34560, -37091/23040, -14549/17280, 85/576, 21443/7680, 
  5099/17280, -347/1152, -14699/11520, -89/384, -205/288, -16343/34560, 
  -2563/1440, 3419/1280, 576497/69120, 1357/2304, 419/4320, 9133/2880, 
  -44101/34560, 31271/23040, 34/27, -1/1536, -481/160, -7103/13824, 
  37033/23040, 1873/7680, 26089/34560, 28801/69120, -3217/1920, -4961/17280, 
  281/1536, 5591/17280, 16751/17280, -4427/7680, -181027/69120, -7801/34560, 
  25/576, 94783/23040, 96221/17280, 757/1152, 5431/1920, -177/128, -205/288, 
  -7379/4608, -24547/34560, -23099/11520, -1129/512, -456191/69120, 
  1357/2304, 19357/34560, -116519/13824, 7787/3840, 5987/7680, 246473/69120, 
  -5755/13824, -2855/576, -396403/69120, -361897/69120, 601/5760, 
  -52423/34560, -273547/69120, 23783/13824, -28223/34560, 10897/69120, 
  21619/34560, 14917/6912, 33/64, 25/144, -33659/23040, -16501/34560, 
  -101/144, 19403/69120, -9/8, 11/24, 1759/3840, -158063/69120, 1/8, 
  -340601/69120, -87/32, -217/2304, 44033/13824, 49103/11520, 281/1536, 
  -19/144, 2921/768, 5653/3840, -323/576, -53483/17280, 23/384, -7709/2304, 
  -82637/34560, 18197/1728, 61723/69120, -47971/23040, -6887/3840, 
  43033/23040, 3109/1152, 10721/17280, -13/288, 7/144, 41573/23040, 647/384, 
  487/2304, -29/1536, -56597/69120, -104753/46080, -180779/92160, -569/2048, 
  -24739/36864, -383539/552960, 192667/1105920, -23/1152, -1835/2304, 13/24, 
  13/288, -59249/46080, -7/144, 278389/138240, 16273/27648, -41573/23040, 
  23/1152, 56203/92160, 1643/2304, 35197/13824, -13/24, 59249/46080, 
  394331/276480, -278389/138240, -16273/27648, -56203/92160, 31277/184320, 
  -35197/13824, -394331/276480, -31277/184320, 42211/23040, 90017/69120, 
  8663/34560, 115/384, 3377/2304, 1813/1152, 23879/36864, -14495/36864, 
  -597803/276480, -36191/9216, 169769/276480, 8663/69120, -556331/92160, 
  165499/138240, -188483/61440, -1113541/276480, -1380359/552960, 
  -417859/552960, -5259751/552960, -2914661/552960, 204187/368640, 
  290533/184320, 132691/27648, 133951/69120, 553/1152, 2929/2304, 1813/1152, 
  23879/36864, 13799/36864, -23497/15360, -14495/36864, 24761/18432, 
  -597803/276480, -15037/4096, -694505/110592, -688417/276480, 48583/92160, 
  -153629/11520, -158611/46080, 632801/138240, -4219/13824, -371239/69120, 
  27421/27648, 87937/20480, 3346189/552960, -4597813/552960, 
  -3844679/1105920, 367/1152, 7243/7680, -13711/69120, -1093/2304, 
  -115801/34560, -11/72, 19481/7680, -6053/2560, -33923/34560, -260957/69120, 
  -41573/11520, -367/1152, 108511/92160, -575663/138240, -1627/2304, 
  -286127/138240, 73/72, -397963/46080, 5551/138240, 695743/46080, 
  47821/17280, -23443/10240, 8597243/552960, 71099/15360, -72127/5760, 
  -6161503/552960, -5/3, -4891/3840, 105241/15360, 155023/30720, -19831/2160, 
  33883/4320, 1350329/138240, -951469/34560, 1195861/138240, -43333/5760, 
  92599/34560, -92599/34560, -16301/5760, 16301/5760, 20453/1105920, 
  -20453/1105920, 79639/34560, 1453/1536, 16135/36864, -4121/5760, 6383/9216, 
  -209947/1105920, -17/12, 65597/46080, -967/192, -1801/576, 197/128, 
  15947/19200, 2183/384, 2676713/368640, -1415189/102400, -3408107/368640, 
  665977/172800, -19209407/2457600, -240802921/22118400, 250849/245760, 
  -43342471/5529600, -54707/10240, -807751/184320, -4425341/230400, 
  21885209/1382400, 425579/172800, -35551787/2764800, -8977559/1843200, 
  -75537083/2764800, -15239671/737280, -1297789/153600, 164873/30720, 
  67109/4800, -41360591/921600, 44923/3840, -23/32, -5681/23040, 6743/17280, 
  7/4, -96173/23040, 1/2, -37/72, 118429/20480, 170969/69120, -341/72, 
  452927/27648, -19/24, 36533/61440, -16085471/2211840, -418427/27648, 
  1395929/147456, -121/288, 60883/15360, -79957/69120, -203/144, 
  292229/69120, -1/4, -456899/30720, -9788767/552960, -1346279/69120, 
  7190633/221184, -36019/9216, 359269/34560, 1247/384, 203527/30720, 
  -44005/4608, 59/144, 16649/184320, -88163/15360, -41/40, 1393/576, 
  -3193679/2764800, 685409/138240, 529/384, 464593/345600, -1543/384, 
  -300233/122880, 78227743/11059200, 4369/3456, 1292561/276480, 
  -20808203/11059200, -528601/115200, 4836893/4423680, 7097249/2211840, 
  3423401/1382400, 16638079/4423680, 883229/184320, 12806287/921600, 
  3713/3072, 736487/230400, -54089491/2764800, -11747/19200, 
  -19014653/11059200, 67741/18432, 7469239/691200, 58715833/11059200, 
  269981/307200, 24959/15360, -155413/172800, 24044521/2764800, -46453/11520, 
  7/72, -11417/40960, 236431/27648, -123167/138240, 301/144, 
  -7975753/5529600, -66823/15360, -67/48, 496139/691200, -5/4, 
  -361973/122880, -83981323/7372800, 24445/3072, 9757061/1105920, 
  276357461/22118400, -264131/172800, 15633293/4423680, -11521571/884736, 
  -83894381/22118400, 48671711/4423680, 296737/368640, -30049493/5529600, 
  9881893/552960, 61271/7200, 5108717/5529600, -58379/14400, 
  20418869/22118400, -52825109/1105920, 17752961/1843200, 891599431/22118400, 
  -4085329/1843200, -13701161/552960, -960491/57600, 82377229/1843200, 
  17321/23040, 161/144, -61777/23040, -46891/34560, -35/18, -99413/69120, 
  1/4, -41/72, 514547/122880, -90397/15360, -461/144, -94993/115200, -5/3, 
  902639/368640, 360772693/22118400, -227407/691200, -42278431/7372800, 
  -55/24, 3893/768, -483311/69120, 211/48, -25281/5120, -89/24, 
  -399799/61440, 61842727/1843200, 75799/9216, -213570127/11059200, 
  -4981/1536, 795761/34560, 20429/1536, -5390899/184320, -29419/2304, 
  -101/288, 2065/1152, -37/768, 40787/11520, 10117/5760, -40787/11520, 
  -17/32, -10117/5760, 17/32, -73159/23040, -36941/11520, -1969/3840, 
  -307459/122880, 325147/737280, -11/16, -655/576, -233/384, 71/144, 
  126191/276480, 85/192, 370261/276480, 233/384, -15461/276480, -67273/55296, 
  -370261/276480, 67273/55296, -13/96, 1/24, 17/24, -7307/1920, -3/8, 
  4849/15360, -1989341/552960, 5347/1920, 1721801/552960, -527/11520, 
  -911/110592, 5/16, -136469/552960, -41/72, -324407/23040, 592253/103680, 
  2905/1152, -954463/69120, -39395/4608, -1349/768, 366247/34560, 1223/384, 
  3391757/276480, -64901/34560, -12097387/829440, 34273/69120, 10703/1536, 
  -157693/46080, 1918037/414720, -372053/20736, 37/16, 808247/69120, 
  -99079/17280, 237943/69120, -124403/69120, 44963/8192, 68303/184320, 
  50453/110592, -3113/5760, -1885313/442368, 280987/368640, -101/288, 
  -45323/7680, 3775933/414720, -539153/207360, 2065/1152, -8363/1920, 
  70619/34560, -37/768, 330841/69120, -247/2304, -12386857/1658880, 
  22433981/1658880, -17513/23040, -331643/69120, -330841/69120, -299/1536, 
  -6207665/331776, 38081/13824, 67279/8640, -723403/184320, -1399753/552960, 
  -10211/11520, -73159/23040, 39061/30720, 4349281/1105920, -297/128, 
  -309955/221184, -94747/2211840, -1969/3840, -1087903/442368, 325147/737280, 
  -169/288, 75907/17280, -257257/103680, 997/1152, 67177/13824, -649/768, 
  37/96, -11369/2160, 3165997/829440, -725/1152, -212491/34560, 649/768, 
  8395/9216, -1028921/829440, 29699/23040, -439/4608, 29/72, -47303/11520, 
  1149371/207360, -287/144, -122543/34560, 41/24, -43237/15360, 
  86831/1658880, -185831/69120, -39869/7680, 1201/1152, -1265527/552960, 
  -197/96, -4957/4320, -43/192, -25/108, -145/108, -1/12, -49/108, -5/36, 
  -1/9, 1/48, 7/192, -5/64, -7/384, 1/9, -13/216, -59/384, -5879/11520, 
  -7973/34560, -1/54, 121/216, -79/108, 9/128, 5879/11520, 7973/17280, 
  -2663/4608, -1/12, -7973/34560, 115/3456, 759/1280, 359/6912, 1/72, 
  5909/6912, -31/160, -9961/34560, -973/1536, 1361/5760, -137/4320, 
  3329/17280, -17/216, 1121/5760, 7/72, 263/576, -17257/11520, -2747/4320, 
  -953/864, 4061/3456, 49/72, 157/576, 52741/46080, 11791/46080, -295/864, 
  -74755/27648, -11/72, 46327/46080, 39827/46080, 14857/9216, -6695/13824, 
  -893/1728, 109829/34560, 162191/138240, -223/864, -13469/13824, -1277/216, 
  -216431/138240, -85321/46080, -1265/9216, 256807/138240, -3341/1920, 
  -18151/69120, -14705/6912, 5117/17280, -27217/27648, -5/48, -769/576, 
  -373/1152, 1/16, 553/576, 373/1152, 1/48, 5/48, -40651/46080, 521/576, 
  -40219/11520, -147/128, 399031/138240, 842381/138240, -170369/110592, 
  43891/46080, -567277/552960, 64873/23040, -42763/110592, 621997/552960, 
  -1/48, 19/96, 31/96, 4321/4608, -75/256, -689/1152, 3071/4608, 1/2, 77/384, 
  -829/768, 1/256, -47/576, 2891/1536, -4031/4608, -37/128, 1/256, -759/512, 
  -1/128, -1/192, 103697/138240, 8663/69120, -45353/23040, 24569/46080, 
  -148423/46080, 735139/829440, 916091/414720, -130753/27648, 
  -1991207/1658880, -82097/138240, 64823/138240, -25809/10240, 
  -1897763/331776, -587779/1105920, -1/24, -545/1152, -1037/1728, 8293/15360, 
  479/69120, -1579/1152, -89261/46080, -5633/3456, 239/1152, 228679/207360, 
  -295967/69120, -980873/207360, 79087/138240, -17983/5760, -4550009/1658880, 
  2227859/331776, 12373/4320, 605/1152, -9881/17280, 8663/69120, -12611/5760, 
  -6193/2160, -39281/23040, 2748793/414720, -7447/12960, 200363/41472, 
  -4823527/1658880, 1567/2160, -134461/110592, 1088323/552960, -59233/10368, 
  187115/221184, -1/24, -144359/69120, 5311/5184, 7433/34560, -4/9, 
  -32851/138240, -447887/103680, -347/192, 351113/138240, 1, 499/1152, 
  4052239/1658880, 37633/34560, -132041/69120, 7831609/1658880, 
  -408713/138240, -17983/5760, -14405/3456, -311177/1658880, 12373/4320, 
  167579/69120, -889393/414720, -31427/34560, -354217/138240, -238267/414720, 
  -824747/69120, 240647/61440, 169913/23040, -634921/207360, -322373/69120, 
  701033/414720, -163369/276480, 24433/15360, -2720663/207360, 169153/122880, 
  -467/864, 169/480, 7973/34560, -271/96, 80669/69120, 4201/1728, 23/864, 
  48049/23040, 87283/23040, 1073/288, -195133/69120, -4201/1728, -6287/2880, 
  -183127/23040, 3577/2160, 135793/34560, 467/864, -18607/7680, -64321/34560, 
  269/288, -347101/34560, -5305/1728, 15979/11520, 67277/207360, 
  185963/17280, 146749/207360, 17843/7680, 9089/92160, 25091/3840, 
  -3190109/829440, 605317/276480, -9649/5760, -25373/17280, -5513/34560, 
  229/576, -131/11520, 21481/17280, -1139/1152, 30397/11520, 247/384, 
  42101/23040, -28757/23040, -47999/34560, 365/576, -12221/11520, 
  82717/69120, 395/1152, 24697/8640, -703/192, -173/768, 21541/8640, 
  17353/7680, 8413/3840, 16019/69120, -715063/69120, 119/512, -1175/768, 
  -184117/23040, 56927/23040, 5027/2880, 10337/8640, 1417/1920, -16367/23040, 
  -1/2, -30587/23040, 27071/23040, 456587/69120, 40229/34560, -27763/23040, 
  -215461/34560, -74779/17280, 1619/69120, 833/1440, -71275/13824, 
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  1213/640, 17399/11520, 45259/34560, -35/384, -1327/34560, 47/384, -29/1152, 
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