{{1, -1, 3, 2, -2, 2, 1, -2, -1, 1, -3, 3, 1, -3, -1, -2, 2, -2, -2, 2, 2/3, 
  2, -7/2, -25/3, 1, -2, 23/12, -1/2, 35/6, -1, -23/12, 5/2, -37/3, -37/3, 2, 
  2, -1, 43/3, 3/2, -3/2, -3/2, -3/2, -1/2, 4, -8, 4, -5/2, 5/2, 1, -5/2, -1, 
  28/3, -28/3, -23/12, 1/12, 13/6, 16/3, -31/12, 2, 4, -37/6, -8, 37/6, 4, 
  -9/2, -5/2, -7/6, 5/2, 1, 3, -3/2, -1, -2, 55/12, 31/2, -34/3, -31/2, 
  49/12, -11, -103/12, 1/6, -55/12, 31/6, 50/3, 23/4, -31/6, 35/12, -35/12, 
  -1/2, -41/12, 1/2, -47/8, 235/24, -1/2, 17/3, 1/2, 77/24, -133/12, -23/12, 
  101/24, 1, 1, -4, -1, -5/4, -1, 1, 1/4, 1/2, -1/2, -1/2, -1/2, 49/8, -49/8, 
  1, -29/6, -83/12, -1, -11/2, -1/4, 113/8, 3/8, -19/6, 27/4, -4/3, -3/4, 
  11/2, -347/24, -413/24, 643/24, -35/6, 709/24, 35/6, 1/2, 3/2, 31, 1, 
  137/4, 19/3, -1/2, -5/2, -5/2, -13/24, 41/8, 70/3, -911/24, 131/8, -947/12, 
  -91/3, 1, -1/4, -43/12, -269/6, -335/12, -1, 1, -4, -1/4, 1/8, 77/24, 
  413/8, 65/2, -35/12, -7/6, 85/4, -4/3, -1/3, -31/24, -229/24, -1/2, 31/24, 
  59/12, -37/6, 83/12, -16, 37/6, -83/6, 133/12, 83/12, -1/2, -13/6, -20/3, 
  -4, 35/12, 1, -35/12, -1/2, -1/2, 3, -41/12, 1, 1/2, -307/24, 437/12, 
  -59/12, 185/4, -117/4, 59/6, -655/24, -59/12, 1/2, 19, -37/6, 97/8, 
  -175/12, -119/8, 3/2, -9, -179/12, -2, 63/8, -1387/24, -307/12, 261/8, 
  277/24, -229/12, 191/6, 1093/24, 21/2, 661/24, -55/8, -341/12, 59/12, 
  -37/6, 35/12, -16, 37/6, -35/6, 133/12, 35/12, -133/8, 37/3, -365/24, 
  281/8, -35/12, 171/8, 35/12, 1/2, 50/3, 1/2, 71/4, 41/12, -1/2, -1/2, 
  -11/48, -239/48, 763/24, -35/12, 731/24, -1219/48, 35/6, -309/16, -35/12, 
  3/4, 35/24, 1/4, 161/6, -1367/24, 69/4, -947/12, -49/2, -5/4, -1/4, 
  -367/12, -59/3, 1/2, 5/16, 1/2, 25/8, -1415/48, -845/48, 71/4, 547/48, 
  -3/4, -23/6, -403/24, 1625/24, 101/2, 5/4, -3/4, 16, -1/2, -1/12, -11/48, 
  289/24, 233/48, -47/6, 19/8, -31/24, -725/24, -1/12, -13/48, -31/48, 31/24, 
  1, -2, 1, 2, -2, 2, 3/2, -3/2, -3/2, 3/2, 3/2, -4, -4, 1, 1, -1, 3, 3, 2, 
  4, -3, -1, 3/8, -3, 1, -3/8, -1, 3, -2, 1, -1, -1, 3, 1, -3, -1, -2, 15/2, 
  -1, -15/2, -1, -3, -1, 3/2, -83/12, -23/24, 1, -4, 3/2, -7/24, -7/6, 5/3, 
  61/12, -35/3, 79/12, -2/3, 17/3, 7/2, -51/4, -7/2, 77/8, -89/8, 137/24, 
  -69/8, 115/12, 109/24, 55/24, -4, 4, 13/6, 2/3, -6, -1/2, -2, 1, -2, 1, 
  -1/2, 11/2, -3, -4, 2, -77/6, -4/3, 37/6, -53/6, 41/3, 14/3, -13/6, -1/2, 
  4/3, 6, -10, 4, -328/3, 211/3, 149/3, -1, -113/96, 209/96, -4699/96, 
  -5453/198, 11939/288, -1/2, -518/3, -136/3, -211/96, 6223/3168, -11017/396, 
  -555/44, -663/32, 16097/396, -14215/792, 103/6, 1723/1056, 236/3, 
  26861/1056, -6431/1056, -31/12, -1, 1, -2, -161/96, 815/48, 111/32, 
  -7343/528, -35/6, 1, -4555/96, -14821/99, -8407/288, -1/2, -521/3, -275/6, 
  -163/96, 341/48, -647/792, 81845/1584, 407/24, -679/32, 12137/396, 
  21091/396, 53/3, 2141/1056, 503/6, 31/24, -7025/1056, 957/32, -12445/264, 
  18199/1056, -1749/16, 67039/528, 2, 265/2, -2, 275/32, 35599/352, -833/11, 
  -195/16, -1732/11, -467/6, 17959/1056, -535/1056, -2471/528, 205/6, -1, 
  -1/2, 2, 5/12, 73/12, 40/3, -40/3, 1/2, 73/12, -355/12, 1/2, -37/8, 
  -571/12, -1, -5/24, -301/12, 241/6, -11/4, -3, 549/8, -17/8, -73/24, 7/12, 
  43/12, -59/24, 34/3, 337/12, 757/12, -40/3, 1/2, 1/2, 61/8, 109/12, -29/4, 
  -85/4, 1/2, -45/8, -559/12, -1, -5/24, 13/8, 3, -169/6, -97/12, 257/6, 
  -13/4, -251/24, 1957/24, -9/8, -53/24, -67/12, -59/12, 31/12, 31/12, -23, 
  229/24, 6, -229/24, 17, 2, -289/8, -81/8, -379/12, 1, 447/8, -4, 133/6, 
  71/12, -3, -6, -577/12, -17, 109/8, -799/12, -289/12, -595/8, -221/8, 41/8, 
  461/8, 2225/24, -17/8, 3/2, 2/3, -13/6, -4/3, 5/3, -4/9, 115/36, -103/18, 
  107/36, 4/3, -31/36, 7/36, -5/3, -3, 7/9, -73/24, 85/6, -259/24, -11/18, 
  -10/9, -17/6, 19/18, 4/9, 1/18, 1/4, -88/9, 13, 35/18, 53/12, 7/12, 3/4, 
  -373/72, -53/24, 59/144, 391/144, -115/24, -649/72, 631/144, -35/12, 
  907/144, 35/12, 1/6, -5/2, 1/4, -23/6, 34/3, -77/12, 575/36, 79/6, 2/3, 
  3/2, -2/3, -25/12, 197/18, -1, 1/3, -29/48, -1/2, 11/8, 2461/144, 147/16, 
  -865/72, -547/48, 5/6, 95/72, 493/72, -163/6, -2599/72, -3/2, -9/4, 
  -133/12, 2/3, -1/18, -13/144, -109/18, 31/144, 47/6, -21/8, 571/24, 17/36, 
  -23/144, 31/48, -31/36, -2/3, -55/6, 37/3, 6, 1/3, -10/3, 6, -4, -4, 30, 
  10/3, 1, -1/2, -113/24, -37/6, -397/96, -169/44, 37/6, 35/4, -2835/176, 
  2257/264, -35/2, 21905/1056, 35/4, -9/4, 677/24, -5/4, 331/8, -38131/792, 
  -1393/96, -1725/44, 4847/288, 3, -259/3, 1/2, -376/3, -225/16, -1, -167/32, 
  225/176, 625/96, -17191/3168, -22277/1584, 7091/288, -4031/198, -481/16, 
  1/4, -299/8, 11213/792, -817/16, 17689/198, 14893/3168, 1, 713/6, 1945/24, 
  -1/2, 45/32, -1277/1056, 118/3, 3334/99, 206681/3168, 77/12, 633/32, 
  -10943/396, -208877/3168, -895/48, -5507/1056, -89/2, -551/48, 3075/352, 
  31/24, 59/48, -49/6, 145/8, 23/3, 79/24, -929/48, -2, 39/8, -17/3, 1/2, 
  -15/2, 1/2, 781/24, -233/6, 281/24, -151/8, 4/3, 2, 9/2, 2, -253/6, 
  -695/24, -3, -3, -43/48, -3/2, -41/24, -961/16, 287/24, 339/8, 161/8, -1/2, 
  -15/8, -33/4, 301/3, 437/12, 1/2, -27/4, 415/24, -1/2, -109/48, 97/48, 
  31/48, -69/16, 79/24, -119/4, -7/12, -25/16, -233/48, 31/12, -35/12, 35/12, 
  1/2, 41/12, -1/18, -3/2, -67/2, 36, -12, 12, -65/4, 65/4, 69/4, 3/4, -18, 
  -6, -3/2, 4, 3/2, 3, -3, -4, 3, 31/2, -365/2, 223, -1521/4, 264, -886, 
  -159/2, 503/4, 407/2, 997/4, 277/4, 27, -113/4, -2141/4, 345/2, 2671/4, 3, 
  -99/8, 75/8, -12, 147/8, 9, -21/8, 21/8, 21/8, 3, -11/2, -3/2, 289/4, 
  -207/8, 365/4, -497/4, 779/4, 931/8, -947/4, 1, -367/24, -3181/264, 
  1159/44, -17/4, 107/48, 6943/264, 13/2, 83/48, -1, 607/48, -37783/1584, 
  -25615/792, 147/16, -61295/1584, 847/16, 289/16, 5305/198, -19765/1584, 
  -118/3, 3, 517/12, -91/2, -74, -75/4, -611/12, -49/2, -19, -101/2, 42, 
  -1121/12, 223/3, 164, 7/6, -310/3, 17, -3491/24, -623/8, 1, -1/2, -965/48, 
  1969/48, -245/12, 9/4, 3583/48, -7349/72, -17/4, -6299/48, 3/2, -67/24, 
  -11869/144, 2849/48, -2239/48, 283601/1584, 1663/48, 883/88, 217/48, 
  -8191/528, -11/16, -7/4, 203/24, -1, -15/2, 5, 29/24, 3/2, 161/24, 209/24, 
  293/48, -1, 37/6, -46/3, 55/6, 427/24, -469/24, 5, -215/6, -25/6, 107/12, 
  -143/12, 3/8, 229/12, 121/12, 11/4, -113/24, -11, 121/8, -124, 148, 
  -1523/12, 725/12, 3995/8, 55/2, 135/4, 65/3, 437/4, 2807/24, 753/8, 1053/8, 
  4585/24, 363/4, -589/2, 11/2, 1019/3, 228, 2969/12, 71/24, -837/2, 
  -3329/12, -19565/24, -1111/8, -10771/24, 4943/24, 3899/24, 96, 10021/12, 
  2465/8, -1389/8, -27755/24, 2917/8, 2, -619/12, 4117/24, -185/3, 29/4, 
  3703/24, -1619/8, 3, -3433/24, -41/4, -9/2, 13, -200/3, -73/2, -437/12, 33, 
  -5/2, -155/6, 157/6, 11/3, -3/2, -15/4, 229/24, 469/32, -7159/132, -229/24, 
  -6113/528, 3827/66, -1667/1056, 3/2, -343/4, -81/8, -2375/32, 302/3, 
  13991/1056, -3/2, 345/8, 259/16, 3/2, 107/32, 20027/264, -3, 665/352, 
  -2383/22, -18317/528, 1631/32, -491/6, -17297/264, -869/16, -10347/352, 
  -7/8, 10039/352, 10347/352, -77/4, -485/32, 1820/33, 4657/264, -4739/132, 
  -2623/1056, 613/6, 5689/96, -1087/6, -62435/1056, 1/4, -931/24, -629/48, 
  -10/3, 57/32, -5099/88, -108233/1056, 5121/88, 4403/66, -3025/96, 947/12, 
  23603/132, 6703/48, 45473/1056, -15905/1056, -16287/352, -50/3, 435/16, 
  344/11, -10289/176, -327/4, -2137/132, 1033/4, 16441/176, -19831/528, 
  -16097/264, -118, 11, 1433/8, 561/4, -32, -1417/16, 41, -7/4, -255/2, -73, 
  845/8, -8815/16, -919/4, 193/16, 919/2, -8859/16, -1355/8, -1283/2, 1003/2, 
  -183/2, 1054, 2187/8, -153/2, 1045/4, 92, 318, -495/4, -1285/4, -169, -239, 
  253/4, 403/16, -5927/88, 7421/176, -573/8, 40639/264, 495/2, 16089/176, 
  -15871/528, -15305/264, -118, -1/2, -1, 1, -1/12, 1/12, 1, -3/2, 1/2, 
  -1/12, -1, 5/2, -3/2, -3/2, -1/2, -1/2, 7/2, -3/2, -3/2, -3/2, -1/2, -1/2, 
  7/2, -3/2, -9/8, -7/4, 5/8, -5/2, -9/8, -1/2, -29/24, 167/24, 161/24, 
  -115/24, 11/4, -49/8, -133/24, 149/24, 67/24, -1/2, 73/60, -43/40, 1, 
  -117/8, 1/2, 43/60, -43/24, 39/8, -43/60, -1/2, 1/2, 343/60, 91/120, 1, 
  -125/8, 1/2, 13/60, -33/8, 47/8, -13/60, -5/2, 1/12, 5/2, -1/12, 1, -41/4, 
  29/12, 43/30, -31/15, 1/2, -43/30, 1, -3/2, -1, -3/2, 1, 1/2, -1/6, 251/30, 
  11/6, 118/15, -17/24, 1/2, -6, -17/8, -1, 1/12, -239/24, -53/60, 49/24, 
  191/120, -5/3, 311/30, 11/6, 221/30, -13/24, 1/2, -9/2, -9/8, -1, 19/12, 
  -371/24, -91/20, 1/24, 611/120, -5/2, 5/2, 5/2, 2, 4, 4, -5/2, -4, 
  -1043/360, -1043/360, 1043/360, 1043/360, 409/180, 409/180, 1043/360, 
  -1043/360, -1043/180, -409/180, 1043/360, -409/180, -1043/360, 226/45, 
  1043/360, 409/180, -581/180, -11/180, 119/72, 1277/360, 581/180, -58/9, 
  -29/8, -7/4, 5/8, -5/2, 11/8, -1/2, 31/24, -4, 71/24, 113/24, -19/24, 37/6, 
  -37/6, 1, -43/6, -1, 17/32, 85/32, -1/2, 1, -3/2, 29/15, -23/4, 2, -19/12, 
  -1/4, 41/8, 7/4, -61/16, -47/8, 1/4, -37/8, -261/32, 61/16, 7/20, -1/32, 
  -1/4, -1/2, 1/2, 41/8, 7/4, 1/2, -61/16, -47/8, 1/4, -1/4, 1/4, 5/4, 
  -23/12, -9/4, -37/8, -261/32, 1/2, 61/16, 1/4, 1/10, 9/4, -17/32, -1/4, 
  -17/8, 13/8, 17/8, 35/24, 1/12, 191/32, 117/32, 1/4, -683/48, -129/8, 7/80, 
  -25/8, 127/8, 577/32, -191/32, 683/48, -7/80, -875/48, -133/16, -6737/2880, 
  -2, 77657/11520, -1/4, -417/64, 2075/48, 55/8, 383/24, 133/16, 4403/1440, 
  73/60, 701/180, -7457/720, 2759/192, -20923/1440, -110683/2160, -217/32, 
  -2069/2880, -61/120, -1005/256, 15841/1440, -17/24, -133/16, -6737/2880, 
  -9/4, 83/24, 99071/3456, 127/48, -69839/11520, -83737/4320, -1/4, -257/64, 
  2123/48, -121/192, 365/64, 55/8, 359/24, 133/16, -8227/1440, 1699/192, 
  -6631/720, -215381/34560, 130801/4320, 2567/192, -4901/2880, -47489/1080, 
  -169/32, 23191/2880, -2647/240, -12589/576, -5203/2880, 2603/960, -5/12, 
  -534037/34560, 539651/34560, 534037/34560, -525251/34560, 25/96, 409/180, 
  -5/12, -364381/34560, 625379/34560, -85/32, 35/12, 379/24, -293/768, 
  1837/960, -972083/34560, 100843/8640, 3849/640, 2359/48, 37181/6912, 
  -323089/6912, 625/96, 436427/17280, -9859/1152, -84449/5760, -198899/17280, 
  143/360, -3/2, -3/2, 311/48, 37/6, 311/48, -37/6, -1/2, 1, -3/2, -49/6, -1, 
  13/4, -9/4, 9/4, -559/48, -8/3, 1/2, 1/2, -7/4, 11/4, 19/6, 1/2, 1/32, 
  331/48, -431113/34560, -6737/5760, -1, 492611/34560, 174053/17280, 2, 
  -403229/34560, -1, 1/4, 2475/64, 87463/34560, -21/2, -606101/11520, 
  -440339/17280, -321/32, 727/32, 1049/96, 101/32, 407/48, -42691/11520, 
  10091/2304, -1185971/34560, 227473/34560, 89/60, 737/192, 36515/1152, 
  508307/8640, -1009/96, 442409/17280, -9097/768, -689/240, -114967/3456, 
  191/80, 319/48, -241033/34560, 2749/1152, -1, 548051/34560, 127763/11520, 
  2, -14503/5760, -1, 1/4, 2347/64, 1603/34560, -21/2, -520481/11520, 
  -440339/17280, -321/32, 509/32, 443/96, 101/32, 419/48, -6211/11520, 
  -40487/3840, -610691/34560, -14501/3840, -324131/34560, 833/192, 
  31835/1152, 195001/4320, -499/96, 292649/17280, 19853/11520, 157487/34560, 
  -92413/3456, 179/960, 37/24, -37/24, 1/4, -43/24, -1/4, -77/48, 175/48, 
  47/24, -101/48, -1/4, -1/4, -133/16, -6737/2880, 39/8, -417/64, 49/16, 1/4, 
  95/8, -494497/34560, 73/60, -41/8, 1485/32, 61409/3456, -21/16, 203/8, 1/2, 
  -51/8, 84803/3456, 540553/34560, 687/64, -311581/5760, 5/12, -302017/34560, 
  -685201/34560, 1/12, -1/4, 61/16, -600169/34560, 640591/34560, -49/12, 
  20417/2880, 49/6, 57497/5760, -49/12, 41/8, 9041/192, 99071/3456, -1/2, 
  -367219/34560, 145/24, 244789/8640, -253/45, -257/16, 1097/64, -49/8, 
  459/4, 725/16, 77/16, 1/4, 1/4, -55/8, 430381/17280, 558121/34560, -29/8, 
  -259/384, -1579/720, -50941/3840, 120713/11520, -41/8, 245/192, 
  -325507/5760, 1437/16, -428099/11520, -354787/11520, 181/16, 529/48, 
  -9769/192, -69/32, 1/4, -289921/34560, -672817/34560, -151/24, 
  -357011/17280, -118169/11520, -367/96, -17291/2880, 791/320, 1021/192, 
  7/20, 7/80, -251/192, -1/4, 53/16, -600169/34560, -1/2, -29/12, 
  931403/34560, -49/12, -29/12, -35857/1152, 61/12, -79159/2160, -1, 41/8, 
  11009/192, 99071/3456, -1/2, 41/4, -3650779/34560, 133/24, -576101/8640, 
  -367/180, -257/16, 609/64, -49/8, 865/8, 749/16, 77/16, 1/4, 1/4, -49/8, 
  604621/17280, 436993/34560, -23/8, -95/48, -611/96, -2311/180, 941/32, 
  -35101/4320, -41/8, -2923/192, -397687/5760, 1325/16, 749761/11520, 
  -182287/11520, 181/16, 1853/96, -9787/192, -69/32, -615361/34560, 
  -519517/34560, 8, -273959/11520, 321223/34560, 185/96, 619/180, -18247/960, 
  799/192, -2/3, 523/720, -91139/34560, 163/96, -251/192, 151/12, -3065/3456, 
  -6737/5760, 13/24, 91399/6912, -52357/34560, -13/12, -92083/4320, 13/24, 
  3/4, 357/8, -156071/6912, -379/48, -32329/432, 37/24, 9983/720, -37/24, 
  -53/4, 71/32, 1/4, 3305/64, -43/24, 37/32, -125/32, -361/24, -8501/640, 
  -76883/4320, -37/24, -789083/17280, 3809/540, 37/12, 635933/34560, -37/24, 
  -1, -17653/192, 1624649/17280, 1703/48, 1124227/6912, 562283/17280, 27/4, 
  965/96, 163/24, 3/2, 59/24, 173719/5760, 1277087/34560, 152023/6912, 
  -1681/2160, 55433/11520, 8021/192, -15137/180, -10996/135, -17/3, 
  -55261/3456, -597121/34560, -73001/11520, 174131/11520, -17/24, 61/16, 
  -600169/34560, 157/48, -16723/17280, 640591/34560, -61/24, 604163/34560, 
  27845/3456, 61/12, -380861/34560, -61/24, -1/2, 9041/192, 99071/3456, -1/2, 
  2767/64, -100109/11520, -17/16, -124969/2160, -37/24, -804947/34560, 37/24, 
  -2, 1097/64, -9/4, 749/32, -1/4, 1099/192, 43/24, -45/16, -41/16, 1/4, 
  -167/16, 486977/11520, 558121/34560, -73/12, -85787/8640, -623479/34560, 
  -835907/34560, -40757/8640, 17/3, 1/2, -2995/96, -37339/432, 1249/64, 
  -124457/11520, 77/48, 383543/11520, -175/48, 2, -3569/192, -1441/192, 
  -47/24, 45/16, 53/8, -387593/11520, -615469/17280, 33517/3456, -3319/720, 
  -941/240, -1017/64, 66643/1152, -171401/17280, 101/48, 179/96, 1/4, 
  302017/34560, 672817/34560, 191/240, -1/12, -1/4, 1/2, 1/4, 1/4, -1/2, 3/2, 
  1/12, -1, 1, -3/2, -1/2, 1/12, 1, 1/2, -1, 3/8, -3/8, -1, 1, -1/4, -1/2, 
  1/2, -1/2, 1/12, 1/24, -1/4, 353/80, -373/80, 1/2, 1/12, -23/24, 19/48, 
  -5/2, -15/8, -321/80, -1/4, 58/15, -41/48, -9/4, -251/60, 65/48, 247/120, 
  -43/120, 41/40, 43/120, -41/48, -73/48, 251/60, -25/12, 179/240, -23/4, 
  -443/80, 35/12, 65/48, 99/40, -2281/240, -421/60, -257/120, 1771/240, 1/12, 
  16/5, 31/45, -2099/720, -161/120, -41/16, -17/144, 1351/720, 23/16, 
  -523/240, -21/20, -143/80, -793/720, 299/80, -4/3, -49/27, 31/27, 
  3461/1512, -3461/1512, 5389/1512, -163/60, 193/252, -129071/68040, 
  280669/136080, 19505/6804, 9263/19440, 3181/1512, 2827/1512, 2383/5040, 
  1193/168, 12251/3780, 439/756, 1837/9720, -32369/4860, -491/486, 1301/240, 
  3/2, -13/2, 4, 3/2, -2, -13/2, 4/3, 4, 3/2, -34/3, 3/2, -7/3, -11/6, 20/3, 
  17/3, -34/3, 7/3, -17/3, 13/2, -46/3, 1, 2/3, 6, 37/12, -1567/120, -4, 50, 
  -61/12, -107/40, 541/60, -11, 319/60, -1/12, 17/12, 1, -1/12, -1, -4, 
  -11/6, 17/12, 1, 19/6, 1, -5/3, -1/4, 5/6, 1/4, -5/12, 5/6, -251/15, 
  -35/12, 25/2, 3, -5/2, 1, -41/4, -7/4, 59/15, 1/2, -43/12, -1/2, -1, 
  -155/24, 83/24, -3/4, -1/2, 5/2, 2, 1/4, 17/2, 11/3, -1, 3/2, -2, -113/24, 
  -9/4, -25/6, 107/24, -1/4, -1/2, 97/12, 1, -25/6, -1, -22/3, 11, -3/2, 1, 
  37/24, -37/24, -1, -37/24, 25/8, -11/15, -25/8, 1/4, -1, 21/4, -37/24, 
  37/24, 1, 13/8, 1, -67/8, 77/24, -1/4, -1, 7/2, -2, -395/96, 299/96, -1/4, 
  -1, -7/4, -1, -1/2, -19/4, -2, 7/2, 1/2, -2, -227/96, 3/2, 8/3, 155/96, 
  -3/4, -79/32, -1/12, 1/12, -1, 327/32, 41/4, -1, 55/96, -319/60, -479/96, 
  -1/12, 1, -2, 2, 1, 1/8, -2, 4/3, 2, -1, -21/8, -1/2, -1/8, 1/3, 5, -11/6, 
  23/6, 353/24, -139/24, -4, 13/12, -13/2, 23/24, -19/16, 5/16, -5/3, 7/80, 
  215/24, 1039/240, 29/60, -7/80, -191/240, 13/24, 105/16, 221/60, -119/16, 
  -43/120, -521/120, 43/120, 13/24, 1, -221/60, -11/8, 39/10, -21/80, 499/48, 
  3629/240, -277/24, -183/16, 5/8, 323/48, 11/3, -611/120, -731/240, 23/24, 
  -65/16, -43/180, -289/240, 3277/720, 1241/720, 71/12, -931/720, -2569/720, 
  41/48, 134/15, -7/30, -25/24, -1037/720, -233/720, 17/6, 2, -2/3, 17/3, 
  47/12, -43/6, -14/3, -5/6, -5/2, -53/12, 14/3, 1/2, -1/8, 907/180, -398/45, 
  -1433/720, -475/36, 241/80, -69/8, -249/40, -713/240, 61/8, -511/720, 
  2617/180, 313/90, 553/240, -4673/720, -1/8, 2459/360, 25/18, -1373/720, 
  1697/360, 241/80, -347/24, -1247/120, 389/80, 93/8, -4261/720, -809/180, 
  -191/360, 1463/240, -1787/720, 55/24, -517/24, 195/16, 2, 17/2, 43/6, 
  -41/24, 277/16, -47/6, 307/16, -265/48, -11/2, -19981/160, 8183/160, 
  -77/12, 31/2, 3249/80, 7/24, 30863/480, 127/12, -2421/80, -9827/240, 
  -3341/160, -91/3, 1157/240, 11/2, -11801/240, -16923/160, 14777/480, 32/3, 
  -149/8, 2167/60, 41/24, 557/20, 24961/480, -4297/160, -184/5, -475/48, 
  -82/3, 1097/240, 11/2, -10181/240, 2411/96, 13687/240, 2/3, -141/8, 
  2417/60, 41/24, 2681/60, -25727/480, -42389/480, -1249/30, 12151/480, 
  185/6, 341/720, -11/2, 13069/144, 46667/1440, -50759/720, -61/6, 4889/360, 
  -26681/720, -41/24, -17197/360, 61/1440, 122111/1440, 27413/720, 
  -12001/1440, 6, 9/2, 2, 3/2, -13, 4, 4, 13/2, -4, -315/32, 289/96, 11/4, 
  42763/960, 2027/60, -689/80, 71/24, -15/2, -10657/480, -31/24, -24083/960, 
  -341/12, -1931/240, 10657/480, 1999/120, -331/32, 529/32, -11/4, 37033/960, 
  -2027/60, -1471/64, 155/24, -3/4, -3419/160, 17/24, -11771/320, 371/12, 
  -277/480, -1343/480, 11899/960, 287/240, 287/120, -287/240, -287/120, 
  -287/240, -287/240, 287/120, 287/240, -1, 287/240, 287/120, 287/240, 1, 
  -287/240, -287/240, 287/240, -1/4, -17/12, 439/120, 383/120, 113/60, 8/3, 
  -187/80, -279/20, 409/120, 437/120, 349/240, -971/120, 31/8, 1669/90, 
  11/720, -2021/180, -167/720, 1/8, 409/180, -4939/360, -6461/720, 79/360, 
  2653/720, 422/45, -1897/360, 11/8, 6901/360, 671/720, 1343/360, -1691/720, 
  -23/8, 409/180, -1189/360, -14831/720, 7477/360, 1787/144, 529/90, -602/45, 
  -17/6, 439/60, 383/60, 113/30, 16/3, -187/40, -279/10, 409/60, 437/60, 
  349/120, -971/60, -1, 3/2, -1/2, -3/8, 1, 5/2, -3/2, 7/2, 3/8, -1/2, -1/4, 
  -119/24, -713/240, 783/80, 713/240, -281/240, 5/24, 263/240, -1777/60, 
  129/20, 3073/240, 71/48, -299/20, -155/24, -713/240, 11/4, 1289/240, 
  347/240, 527/240, 53/24, -49/8, -1157/240, -349/20, -1151/120, 2077/240, 
  107/16, -81/8, -681/160, 681/160, 681/80, 681/160, 681/160, -681/160, 
  -681/160, -681/80, -681/160, 1/2, 681/80, 681/160, -1/2, 681/160, 681/80, 
  -681/160, 1/2, -299/240, 299/240, 45/16, 2573/240, 323/120, -49/16, 101/20, 
  101/32, 557/240, -433/80, -281/240, 2071/480, -2071/480, 137/32, -1341/160, 
  -333/160, -29/32, -133/40, -43/120, 43/15, 1103/480, 43/120, 893/240, 
  1341/160, 913/160, 105/32, -299/40, -333/160, -13/32, -2261/480, -1111/160, 
  -511/120, 1729/240, -31/16, 299/240, -299/240, -45/16, -2573/240, -323/120, 
  49/16, -101/20, -101/32, -557/240, 433/80, 281/240, 3/2, 5/2, -3, -1/2, 
  1/2, -1/2, 1/2, -7/2, 3, 5/2, -1/2, -3581/720, 1043/360, 3581/720, 
  -1043/360, -171/32, 1427/288, -2663/360, -33/32, 259/1440, -12373/1440, 
  -5821/720, 3037/720, 4757/720, -2167/1440, -901/160, 1043/360, -463/720, 
  -1043/360, -123/32, -1055/144, -683/360, 31/32, 737/720, -2159/720, 
  -6517/720, 7349/1440, 4117/360, 221/24, 61/24, -73/16, 1/24, 229/24, 
  -61/48, 223/48, 61/48, 1/8, 7/8, -251/60, 32/15, 43/120, -43/60, 7/8, 
  -749/240, 1/6, 607/240, -29/48, -13/12, 59/240, -19/16, 251/60, 5/16, 1/12, 
  -147/80, -1/12, 77/12, 19/16, -383/120, -5/16, 421/120, 67/240, -3/2, -1/2, 
  3/2, -4, -4, 1, 4, 11/4, -171/16, 1/24, 1/3, -109/16, 133/16, 65/16, 
  -17/12, 1/2, 1/12, 161/72, 91/12, -3553/720, -161/72, -7/20, 7/20, 
  3193/720, -7/20, -13/32, 73/60, 1/24, -29/5, 29/15, 13/96, 7/20, -19/96, 
  -247/60, -7/8, 11021/1008, 1859/2520, -25/24, -47/24, 4723/504, 69/16, 
  155/48, -7/18, 3209/720, -167/60, -8509/1008, -276301/15120, 37/8, 
  2861/288, -3189/224, -577/144, -103/288, -193/144, 212303/12960, 197/288, 
  -19/32, -2/9, -5447/2016, 73157/6912, -271/5760, 89/36, -557459/34560, 
  -114689/17280, -583/144, 2537459/241920, 259/144, 95/36, -196109/4032, 
  475997/34560, -1291/168, 73601/1080, 6620501/241920, 3409/288, -74153/4032, 
  -18343/1344, 7/36, -5479/504, 4299061/725760, 8419/3840, 1508603/34560, 
  2990747/725760, -3515/2016, 48539/4032, -16250141/362880, -12964859/241920, 
  85217/4032, -11004317/362880, -49241/103680, -207713/45360, 9944401/362880, 
  58633/12960, -3/2, 53/12, -3/4, 1/16, 11/6, 373/48, -3, -7/20, -123/16, 
  7/20, 19/12, -1, 251/15, 115/48, -205/12, -10, -95/48, -239/48, 44/3, 17/4, 
  95/12, -29/24, 2, 29/8, 127/32, -379/24, -1019/576, 11/8, 741/64, 85/32, 
  -1219/1440, 379/192, -1/64, -1, -841/96, -983/240, 9/2, 67/96, -149/32, 
  -3/4, 1423/96, 1559/240, 27/8, -329/24, 37/32, 65/24, -107267/34560, 
  -173/192, -5/192, 1115/96, -887/96, -1/24, -161/288, 989/288, -1115/96, 
  887/96, 449/288, 9/4, -35/24, 35/12, -35/24, -217/24, 91/16, -353/48, 71/8, 
  -7, -15/4, 1/24, -565/96, 407/96, -71/8, 593/48, 1/24, 233/480, 31/96, 
  -31/48, 9/4, 59/48, -449/16, -329/64, 881/48, 157/24, -9/2, 61/96, 
  -1458193/34560, -13/6, -347/60, -227/24, 299/240, 83/15, 9/4, -109/96, 
  -25/4, 109/9, -367/1440, -29/6, -673/96, 115/32, 9/8, -1/4, -1601/144, 
  2383/576, 2791/576, -1/40, -7/20, -21763/2880, 7/20, 9/4, 155/96, -527/72, 
  4687/1440, 9/4, 989/144, 197/16, 1979/34560, 444227/34560, -25/4, 85/9, 
  -3133/360, 1/12, -14587/576, -8833/576, -29/6, -7, -71/96, 115/32, -13/8, 
  157/24, -10039/2880, -767/72, -5863/6912, -64501/3456, -1697/144, -673/48, 
  419/48, 4801/576, -209/360, 113/480, 38935/6912, 15731/1440, 1517/2880, 
  2767/288, -840979/34560, -8113/2880, 593/144, 472937/34560, 108917/6912, 
  769/720, -267197/34560, 14531/3840, -1115/48, 34087/576, 202579/17280, 
  -691/192, -2043767/34560, -1348117/34560, 359/96, 2041/48, 957/32, 259/32, 
  1505/288, 365833/11520, 9889/5760, -310439/5760, -140597/8640, -93121/5760, 
  -6425/576, -82823/6912, 791009/34560, -12971/576, 8639/4320, -4537/720, 
  12373/2304, -853/2160, 277/240, -2/3, -293/24, 598057/17280, 11/2, 413/32, 
  -1216879/11520, -788417/4320, 9/2, 2129/96, -149/8, -8885/96, 
  3421471/17280, -613/48, 65/24, -1779/32, 157/96, 429839/6912, 154867/2880, 
  4705253/34560, 2220523/8640, -3811/32, -2004631/17280, 918209/17280, 
  1489/96, -4167557/34560, -231287/1440, -56221/3840, 207703/1920, 
  205853/3840, -17/32, 16349/2880, -10492139/276480, 4529/192, 273503/34560, 
  2761609/69120, -1259/96, -1595/192, -8353/1152, -1, 1361/384, 
  5580859/69120, 4784093/27648, 2827/768, -346313/3840, -6533131/69120, 
  7213/1152, 7001957/138240, 2742899/23040, -26024257/138240, 69523/1280, 
  14699723/276480, -17/32, -7/2, -57/4, -4133/2880, -95/48, 7951/576, 
  21774377/276480, 4529/192, 19/2, 471143/34560, -153/32, 2711389/69120, 
  -1259/96, -707/192, 6731/1152, -1, 2473/384, -533/6, -2143219/23040, 
  -73721/576, -2045443/15360, -607/256, 466007/3840, 4326449/69120, 
  1921/1152, 17452997/138240, -6039799/69120, 8627911/138240, -92037/1280, 
  804019/55296, 35/96, -735/32, 474493/17280, -47/80, 4751/192, 
  1253197/17280, 531557/34560, 2479141/69120, 366923/8640, -23960279/276480, 
  -4673/192, -7405/96, -655789/34560, -8999/384, 5797/1920, -71929/2560, 
  1083/32, -6965/192, -9953/1152, -85/8, -34115/384, -562399/4320, 
  -317785/13824, 1324915/13824, -731813/11520, 6914863/46080, 109583/768, 
  6559/1280, -2609647/69120, 7925/1152, -2480255/9216, 115967/7680, 
  2323747/138240, 450565/6912, -7392131/92160, -143/96, 29059/576, 
  81448739/760320, -695748859/3041280, 10069/192, -3277/384, 
  -21346427/253440, -1621/64, 8137/1152, 5/64, 14301/128, 13547921/138240, 
  -35723/768, 6892529/34560, -5959/384, -88418147/1520640, 27919301/304128, 
  -5204819/28160, -14464619/276480, -11/4, 549/2, 97651117/76032, -1691/60, 
  2329/16, 4295011/3840, -20297797/76032, 58657901/190080, -44394331/34560, 
  -59799803/95040, 13, -62449/192, -190499/8640, -631/96, 1249427/76032, 
  -9106529/126720, 121/8, 1547/48, 399/64, 111/16, -1921/16, -3699369/14080, 
  14450593/17280, -529109/5760, 462600377/380160, 384409357/380160, 
  12245/192, 65317157/380160, 877775/6912, 4235/64, -16667411/76032, 
  -952931/6912, -43624423/190080, -24521333/190080, -2152487/11520, -155/96, 
  7265/96, 55478981/126720, -26249/5760, 26707/576, 156873397/380160, 
  -1264371/7040, 39787241/380160, -73978813/126720, -225151037/1013760, 
  9901/192, -12383/192, 104777/8640, 3587/192, -25921939/190080, 
  -18044537/190080, -413/16, 21997/192, 20747/576, 37/16, 46699/384, 
  -13444199/380160, 13374169/69120, 855403/380160, 358220179/760320, 
  45617797/506880, -11097/256, 3959051/23760, 3082337/15840, -3481/128, 
  -21340193/304128, 214349/7680, 438403/5120, -1031053/5940, 
  -14314859/276480, -155/96, 7433/96, 56664341/126720, -86311/5760, 
  26923/576, 153986557/380160, 218087/2304, 39351641/380160, 
  -225121453/760320, -705633019/3041280, 9901/192, -13151/192, 3047/540, 
  3059/192, -4805281/47520, -3352463/47520, -413/16, 21073/192, 4865/144, 
  37/16, 46891/384, -13436279/380160, 13362529/69120, 5793523/380160, 
  57581269/380160, 12375761/138240, -10649/256, 8437357/47520, 1265371/7920, 
  -3609/128, -20053985/304128, 245837/7680, 27722885/304128, -4151437/23760, 
  -14317739/276480, -83/96, -4529/32, -62311937/95040, 1691/120, -18929/576, 
  -311650337/760320, 436441/2970, -440321/13824, 378037009/760320, 
  22614527/276480, 8869/192, 62515/384, 210131/17280, 9025/384, 
  -2226133/126720, 1918447/34560, -1079/32, -1547/96, -22303/576, -47/64, 
  69323/384, 12844817/50688, -14604727/34560, 6577751/47520, 
  -57216149/126720, -584437531/1520640, -50125/768, -7968199/126720, 
  -1266289/11880, -235/192, -130918319/1520640, 4003477/69120, 
  309938897/1520640, 69017/34560, 5639401/276480, 155/96, -43243/576, 
  -5155033/69120, 12205213/55296, -9685/192, 6803/128, 248573/4608, 399/16, 
  -35755/1152, -29/16, -15549/128, -20862173/69120, 5932501/27648, 73111/768, 
  1025831/13824, -2997/128, 873131/15360, -2469089/27648, 6432691/34560, 
  14533739/276480, -11/96, -5473/96, -127747/720, 2569/240, -69317/576, 
  -15357391/34560, -50669/960, -78085/512, 876611/8640, 34843909/92160, 
  8245/192, 19567/192, 307907/34560, 26887/384, 1297849/17280, 
  16409521/69120, -273/8, -2731/192, -57869/1152, -77/16, 66667/384, 
  -665081/8640, -15542707/69120, -1885045/13824, -14048089/69120, 
  -30719869/138240, -136963/768, 62491/640, 3831079/69120, 8351/384, 
  26426093/138240, 4856939/34560, -25499741/138240, -410291/1440, 
  5732521/276480, -227/96, -209/16, -503/576, 98221/576, -21121/1920, 
  1411279/7680, 3061837/11520, -9552247/18432, 10621/192, 1685/96, 
  -1807/1440, -67891/384, 298679/864, -79403/23040, -909/32, -209/96, 
  116185/1152, 37/32, 53123/384, 5801/2880, 51664607/69120, 14377081/69120, 
  -51815171/138240, -94195/768, 581/360, -5416307/13824, 14225/384, 
  -2632561/46080, 4479587/27648, -1293347/6912, -14533739/276480, -227/96, 
  -221/16, -7319/576, 1807/1440, 98365/576, 65/6, -407461/1152, 484053/2560, 
  -295885/3456, -135162209/276480, 10621/192, 2033/96, -26/45, -66739/384, 
  571681/1728, -466403/23040, -909/32, -1/48, 119425/1152, 37/32, 53123/384, 
  55331/2880, -7177/2880, 51234047/69120, 4249379/7680, -17731289/46080, 
  -95539/768, -30167/2880, -5393411/13824, 14609/384, -2663761/46080, 
  847/360, 22202671/138240, -1281179/6912, -14899499/276480, -3, 10789/96, 
  18074053/34560, -2569/120, 2345/6, 9992689/11520, -2162173/34560, 
  3924127/8640, -6219653/34560, -5173681/4320, 15, -16303/96, -107339/17280, 
  -23701/96, 67657/3840, -773509/1280, 625/32, -1271/96, 5119/32, 151/16, 
  -3713/32, -6112871/34560, 15335671/34560, 10364531/11520, 6625463/11520, 
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