{{1, -1, 1, -1, 0, 1/2, 1, -1/2, -1, 1/2, -1, 1/2, -1/2, 2, -2, 0, -3/2, 1/2, 
  0, -1/4, 0, -1/2, 1, 1, 1/2, -1/2, 1/2, -1/4, 1/2, -1/2, 5/4, 5/4, 1/2, 
  -1/2, 3, -3/2, -1/4, -1/3, -61/48, 13/16, 19/12, 19/8, 2, -11/24, -9/8, 
  1/2, 1/2, 17/4, -3/2, 1, 23/48, 1/3, -53/48, -19/16, -5/12, 1, 17/12, -1/3, 
  41/48, 37/48, 19/12, -77/24, -19/16, 31/16, 71/24, 1/2, 41/48, 1/3, -31/16, 
  73/48, 1/4, 7/4, 23/12, 1/2, -1/4, 79/12, 1/2, 23/48, 1/3, -65/48, 1/2, 
  41/48, 1/3, -35/16, 61/48, 27/16, -5/12, 7/4, 10/3, -2/3, 7/12, 19/12, 
  19/6, -5/6, 9/16, 129/16, 7/3, 17/4, 3/2, 5/4, -5/8, 5/8, 5/4, 15/8, -47/8, 
  29/4, 47/8, -13/4, 13/4, 13/8, -17/16, -9/2, 41/16, 11/8, 7/4, 49/24, 0, 
  -17/4, 199/48, 45/8, -5/4, 5/8, -41/24, -5/8, 1/2, 7/3, -1/2, 0, -11/2, 
  329/48, 39/8, 3/8, -247/48, -3/8, 39/8, -247/48, -3/8, 13/8, -17/16, 
  -71/16, 41/16, 45/16, -9/8, 3/4, 0, -3/8, 1/4, 1/4, -5/8, 0, 11/2, 27/8, 
  9/4, -1/4, 0, 39/8, 13/6, -47/8, -5/8, 55/8, 47/8, -35/8, 35/8, 1, 137/48, 
  151/48, 0, 13/48, 13/48, 1/4, 29/16, -139/48, -71/8, -31/6, 419/48, 95/8, 
  -97/16, -1, 13/48, 141/16, -7/8, 1/2, 7/24, 3/8, 119/48, 37/16, 0, 1/48, 
  13/48, 1/4, -59/16, -35/16, 181/48, 1/4, -2/3, -49/48, 31/8, 5/16, 19/16, 
  -39/16, 107/16, 5/16, -1/4, -7/32, -5/16, 7/32, 1/4, -5/16, 7/32, 1/2, 
  -5/16, 7/32, 3/4, 1/4, 1/2, 65/96, 257/96, 1/4, -5/16, -5/96, -143/96, 1/4, 
  9/16, -39/16, 9/16, 131/32, -25/16, -105/32, 39/8, -3/8, -135/16, 217/96, 
  203/96, -185/16, 11/4, 193/16, 107/16, 39/16, -3/4, -121/32, 11/16, 5/8, 
  -59/16, -5/16, 11/32, 5/4, 3/16, -3/16, 3/16, 5/8, -61/48, -41/24, -3/16, 
  -1/4, -5/8, 199/96, 427/96, -5/16, -11/96, -143/96, 1/4, 9/16, -39/16, 
  -5/4, 71/32, 97/24, 203/96, 39/8, 11/8, -3/16, -57/16, -55/96, -143/96, 
  -185/16, 45/16, 33/4, 107/16, 39/16, -23/16, -81/32, -151/48, -5/8, -5/8, 
  41/16, -83/32, -29/16, 5/2, -5/2, 1/4, 11/8, 47/32, -5/16, -17/16, -29/32, 
  1/2, -11/8, -93/16, -5/48, -5/16, 5, -55/96, 7/8, -25/8, 153/16, -5/96, 
  11/16, -45/8, 5/16, -1/4, 5/16, -15/32, -7/32, -5/16, -5/16, 7/32, 7/32, 
  1/4, 1/4, 39/16, -1/16, -43/32, 13/16, 5/8, -45/8, 1/8, 113/32, 53/16, 1/8, 
  -39/16, -1/16, 43/32, -23/32, -5/8, 45/8, 1/16, -113/32, -51/16, -3/16, 
  1/4, 3/16, 1/2, 1/2, 1/4, -5/8, -1/4, -1, -1/2, 0, 1/4, -5/4, -5/8, 5/8, 
  5/8, -5/8, -1/8, -1/2, -1/2, 5/4, -5/4, -3/2, 5/8, -1/8, 3/2, 7/8, -1/4, 
  1/2, -5/4, -1/4, -1, 2, -5, -49/4, 11, -1, -5, 0, 3/4, 29/4, 1, -17/2, 1, 
  -1, 0, 3/4, -1/2, -1/4, 1/4, 1/2, -3/4, -3/2, -7/4, -3/4, -3/4, 1/4, -7/4, 
  -1/4, -9/16, -1, -1/4, -2, 31/16, 9/4, -1/2, 1/2, 1/2, -1/2, 0, 9/8, 0, 0, 
  1/2, 0, -1, -1/2, -1/4, -1/8, -1/4, 1/8, 7/8, -1/4, -1, -3/2, 5/8, -5/8, 
  -5/4, -1/2, 1/2, 1, 17/8, -1/8, 5/8, -1/4, 1, 0, -1/8, 5/8, -1/2, -5/4, 
  3/8, 1/8, 7/8, -1/8, -3/8, -1, 3/8, 5/8, -5/8, 7/8, 15/8, -7/8, 1, -2, 3/4, 
  -15/4, 3, -4, 1, 10, 4, 147/4, -33, 0, 0, -87/4, -7/2, 21, -12, 0, -5, 1/2, 
  5, 8, -1/4, 1/4, -1, -5/4, 13/4, 1/2, -10, 9/2, 15/2, 9, 0, 9, -19/2, -1/4, 
  5/4, 1/2, -1, 1, 35/4, -37/4, 0, -1/2, -1, 1/4, 1/2, -1/4, -2, 1/2, 0, 
  -1/4, -1, 1/4, -1, 1, 0, -1/2, -1, -7/4, 1, 0, 9/16, -2, 11/8, 2, -1, -1/2, 
  0, 5/2, -1/2, -47/16, -5/2, -1, 0, 0, 83/48, -19/6, -83/48, 19/16, -23/8, 
  5/4, 5/2, 15/16, 39/16, -45/16, -17/8, -3/8, 475/24, -13, 601/48, -437/16, 
  -1/4, -1/96, -293/96, 19/16, -173/96, 23/16, -13/8, 17/16, -1, 1/2, 1/4, 
  -5/4, 1/4, 1/4, -1/4, -13/8, 17/16, 19/16, -9/16, -151/48, 89/24, -19/16, 
  -1/2, -1/2, -1/2, 1, 1/2, 167/48, -167/48, -517/72, -25/16, 7/8, 0, 
  -659/144, -25/16, 7/4, 3/8, -1/4, 1, 1, -191/72, -1, -61/72, -1, 17/4, 3/2, 
  191/72, 1/2, 61/72, -83/72, 155/48, -221/48, -203/48, 1/4, -1/2, -209/72, 
  1/2, -7/4, -3/4, -3/2, 3/4, -167/48, 167/48, 107/72, 929/144, -535/144, 
  -157/36, -19/8, 371/144, 97/48, -11/8, -3/8, -37/6, 569/144, 51/16, 107/72, 
  -3/2, -29/18, -229/36, 101/16, -17/16, -47/8, -195/16, 1, -1, -1, 1/2, 
  -1/2, 1, -1/2, -1, -1, 1/2, -1/2, 1, 1/2, -1, 109/16, 1/2, -3, -115/24, 
  -5/2, 3/2, 5/48, 1/2, -1/2, -11/6, 1, -5/2, -49/16, 313/48, 93/16, 49/16, 
  1/2, -1/2, 5/4, -1/2, 7/4, 181/48, 89/24, 5/4, -145/48, -17/16, 1, 1/2, 
  1/2, -97/12, -1/2, -1/2, 0, 5/16, 15/8, -1/8, -5/8, -1/2, -5/16, 1/2, -5/4, 
  -3/16, 1/16, 49/12, -101/24, -1/16, -139/48, -9/4, -9/8, 5/4, 1/2, 15/4, 
  7/4, -1/2, 7/4, -7/4, -1/16, 5/2, 25/6, 23/4, 59/16, -119/16, -7, 39/16, 
  -19/16, 1/4, -101/16, -3/8, -101/48, 7/8, 263/48, 23/4, 11/2, -5/12, -4, 
  -73/48, -9/4, -1, 91/48, -3/8, -7/3, 4, -1465/24, 251/48, 733/8, 26, 59/3, 
  695/128, -185/16, 27973/384, 3073/48, 24437/256, 151577/768, -35127/256, 
  -86191/384, -55927/768, -21641/256, -3095/32, 62/3, 26701/64, 75137/384, 
  -32281/192, -3125/64, -93035/768, 12025/192, -20015/192, 817/2, -82, 
  -525497/768, 17/8, 151483/1152, 176011/1152, -371/48, -92443/1152, 
  -165211/1152, -91/4, -3/2, -91723/384, -60715/576, 45115/576, 62203/576, 
  -26683/192, -303623/1152, -115013/1152, 1495/192, 380389/2304, 159029/1152, 
  74275/768, -43/64, 37339/192, 51691/1152, 121651/2304, -61915/1152, -1/4, 
  -1/96, -293/96, 19/16, -269/96, -17/8, -7/2, -9143/256, -631/128, -215/48, 
  -29669/768, -253/48, -2, 1559/256, 69/8, -9/4, 59035/768, 33829/768, 
  20361/256, -32507/768, -505/24, -8991/64, 119/128, 27157/128, 435/64, 
  1013/256, -20925/128, 401/64, -1651/12, -4835/48, -47971/576, 560977/2304, 
  2107/72, -6473/24, -38083/192, -6939/128, 357/16, 16237/768, 44633/384, 
  48837/256, -26425/192, 2233/256, 87475/1152, 397853/1152, -2107/144, 3/8, 
  3/4, 14, -78299/192, -1/4, -77/4, 78155/192, 21/4, 69691/384, 80411/384, 
  -67579/384, -47963/384, 74011/384, -79115/384, -71995/384, -7273/128, 
  196/3, -126961/768, -37195/384, -5/4, 71995/768, 121297/768, -5/4, 
  -46907/768, -125/16, 17/3, 119/12, -3/8, -125/12, 11/6, -77183/192, -11/6, 
  59/24, 513/64, 1/2, -13/8, 17/16, -1/2, -3/4, 3/16, 19/2, -10679/256, 
  1575/256, -29/2, 10455/128, 7, -2, 2375/256, 21/4, -9/4, 76027/768, 
  -17269/384, -71995/384, -46907/768, 196/3, 101/12, -3/4, -119/12, -5/24, 
  26497/128, 13/16, -1073/8, 73/48, -77587/128, -15/8, 23299/192, 16737/64, 
  -25/24, -79883/768, 1/6, 1499/192, 43993/256, 13/48, -3205/48, -505/48, 
  49283/384, 365/48, -55, -1, -1, -1/4, -27/16, -5/4, -5/4, -27/16, 
  -23473/384, -304055/2304, -134129/2304, -27/16, -1/2, -13/8, 17/16, -1/2, 
  7/2, 1/2, -1/4, 1/2, -1/4, -1/2, 1/2, -1/4, -23377/384, -304055/2304, 
  -134705/2304, -61/24, -239/48, -21/16, 205/24, -21/8, -7/4, -25/24, -4, 
  5/3, 5/2, 1/48, -37/24, -401/48, -29/24, 53/12, 47/24, -1/8, -27/8, -61/48, 
  -35/16, -1339/384, -11/8, -85/32, -151/48, 151/48, 163/24, 93/8, -151/24, 
  145/12, -7/4, 1615/384, -401/32, -293/24, 3, 1/4, -281/16, -19/2, -87/8, 
  83/8, 221/48, -305/48, 1/2, -377/32, -485/32, -1/2, 1/2, 1/4, -191/16, 
  -87/8, -7/12, 7/6, 19/8, 4/3, 19/8, 2, -11/24, -141/8, -7/6, -121/8, 
  -71/24, -393/128, 1073/48, 157/48, -745/96, -59/24, 197/3, 991/48, 
  -1613/32, -2471/48, 1/4, 1/2, -1/2, -191/72, -1, -35/36, 191/72, 3/2, 
  -245/72, 155/72, -1/4, -1/2, 1/2, 17/4, -997/144, -599/144, 553/144, -35/8, 
  -5/4, 11/2, 83/9, 13/12, -1/4, -5/2, -17/4, 3/4, 83/8, 95/24, -77/12, 59/4, 
  -299/72, -137/8, -21/2, 3, -3, -85/24, 445/72, -145/48, -5/8, -1349/144, 
  -79/24, -11/4, -29/16, 139/48, 739/72, 7/16, -1163/144, -847/72, 97/16, 1, 
  -13/48, -67/16, 17/4, 23/18, -955/144, -25/9, 1207/144, -1/4, 587/72, 
  1367/144, -973/144, 1/2, 7/4, -533/72, -1/2, -17/4, 19/4, -2, 365/72, 16/9, 
  -505/144, -101/36, -91/36, 10/3, 127/18, -235/36, 2, 2, 235/36, -31/8, 
  -59/18, -145/48, 325/144, 27/8, -1, 191/72, 1285/144, -145/144, 1/2, 3/2, 
  -245/72, -1/2, 131/9, -2, 59/18, 49/48, -145/144, -289/18, -553/72, 143/36, 
  289/18, -1003/72, 2, 2, 1003/72, 7/16, 0, -29/24, 157/48, 379/48, 173/24, 
  5/8, -319/48, -49/16, -1/4, -75/16, -17/16, 53/24, -1/3, -161/9, -29/6, 
  563/36, 9/16, 623/36, -8839/64, -156955/768, 105469/288, 1639/144, 
  -370939/2304, 1889/64, -742069/4608, 70193/72, 33213/128, 741685/576, 
  -397/96, 41401/256, -454891/768, -7668535/4608, -47425/128, 35717/96, 
  -417313/2304, 1025/16, -2517857/4608, -1919/384, -10428097/4608, 
  -770077/1152, -29182289/13824, -1201651/2304, -9247099/1536, -42835/384, 
  -37956521/6912, -27645839/13824, 3/2, 154075/1152, 180187/1152, -9557/64, 
  -1318295/2304, -459523/1152, 833/64, 10087/32, 1121/4, 95011/768, 
  73747/384, -147543/512, -218429/768, 3923/384, 894299/864, 94457/576, 
  -14400113/13824, -2243/384, -172157/4608, -8053/288, -16723457/13824, 
  -120431/2304, 8739/128, 537883/4608, 153211/1152, -337657/2304, 68399/1536, 
  404737/2304, -1073/128, 278035/2304, -15787/64, -54493/384, -2033381/4608, 
  -20845/384, -15647/384, 32367/128, 3196007/4608, 11585/192, -48317/384, 
  -1799101/3456, -333307/4608, -6239/96, 5087275/13824, -24923/1152, 
  13018997/13824, 17465525/13824, 2343491/3456, 5589449/4608, 3204203/6912, 
  33605/256, 43603/384, 5530243/1536, 27645839/13824, 8051/128, 
  -2216869/4608, -148561/768, -486079/2304, 330113/4608, -5211/128, 
  -2897/128, 855383/4608, -44045/256, -21221/192, -3690289/4608, 10883/128, 
  -14495/384, 58277/192, 224825/288, 12233/192, -47213/384, 7863347/13824, 
  151591/512, -28549/384, 970771/13824, 5443/288, 2884775/3456, 
  -6220475/4608, 1324709/13824, 1462079/1152, -165161/13824, 27743501/4608, 
  -6, 3481787/1728, -3/8, 3, 153787/1152, 178171/1152, -9505/64, 
  -550495/1152, -464071/1152, 833/64, 120037/768, 26875/96, 48129/256, 
  23405/192, -11345/48, -66923/384, 119/192, 807175/6912, 59435/384, 
  63773/6912, 26629/192, -211765/2304, -89443/1152, -2321653/6912, 2107/144, 
  -15/8, 3/2, 51/16, -3/2, -21/16, 5/2, 2, -2, -29/8, -7/4, 21/16, -9/2, 
  13/4, 2, 91/12, 37387/384, -1255/288, 42283/256, 1585/288, 463189/2304, 
  371779/2304, -323083/2304, -555925/2304, 380851/2304, -1, -1, -380851/2304, 
  41/16, -29/8, -55/16, -5/2, 17/16, 23/8, 7/4, -63/4, 78515/256, 73/8, 
  533/384, -71/16, -165903/512, 27/8, -16961/128, -247/48, -276227/512, 23/6, 
  -25025/256, -1/8, -13/4, 24961/256, -1/3, 849/128, 1220983/9216, 2119/512, 
  -5171/384, 434189/9216, 211/48, -30839/1536, 1323/128, 118447/9216, 
  -807/512, 137/24, 2046839/9216, 155167/512, -2959/288, -936623/9216, 
  1849/288, 3987785/9216, -124917/1024, -3242141/9216, 3816227/9216, 
  49161/256, -1, -2578487/9216, 35/24, -1436917/9216, 1223/512, 77/24, 
  199693/9216, -21/16, 241/128, 1450141/9216, -4517/512, -17/6, -152231/2304, 
  21/16, -29303/1536, 3525/512, 409231/9216, -231/512, 97/12, 1127695/9216, 
  116335/768, -1255/288, 42283/256, 1585/288, 3486695/9216, 1414595/9216, 
  -306379/2304, -2925563/9216, 373363/2304, -1, -1, -373363/2304, -3/8, -3/4, 
  5/2, -2, -7/4, -5/2, 7/4, 2, -179/16, 80651/768, 349/48, -3091/192, 
  328165/2304, 31/8, -285131/1152, -11/16, -49667/384, -39/16, -304907/1152, 
  4305/64, -1335935/2304, -304055/2304, -914845/2304, 756913/2304, 
  242449/1152, -67769/768, 581777/1536, -245041/1152, -750793/2304, 
  309959/2304, -49303/384, 11921/144, 239317/1152, 148699/384, 140831/384, 
  67769/2304, 13585/36, 304631/6912, -379525/4608, -3213451/6912, 139/96, 
  -67769/2304, -6791/18, -306935/6912, 387253/4608, 3212479/3456, -139/96, 
  -1/12, -308231/6912, -3211507/6912, 310535/6912, -67769/2304, -214469/384, 
  383413/4608, 1163201/6912, -137/96, 215743/1152, 483301/3456, 
  -1208417/6912, -499501/3456, 212431/1152, -369679/1728, 1027465/3456, 
  -28751/1728, 1174085/6912, 1/16, -13/8, -27/16, 0, 17/16, 9/8, -1/4, 
  49063/384, -148507/384, -240481/1152, -48511/384, 280057/192, 238309/1152, 
  -411751/384, -47431/384, 152105/384, 239581/1152, -417149/384, -1703/192, 
  -1339/384, -3/4, -67/32, 175/48, 1, 97/8, -247/48, 115/12, -5/4, 799/384, 
  -417/32, -209/24, 3, -7969/288, 351863/4608, 672281/4608, 302783/2304, 
  -140785/2304, -947/768, 249551/6912, -928033/6912, 298871/6912, 9337/96, 
  -219077/576, -305591/1536, -686185/1536, -24313/2304, 42515/256, 
  -33215/384, 480895/1152, 278135/4608, 676537/1536, -38593/768, -42595/256, 
  -1651/768, 85/16, 35779/576, 308375/2304, -9337/96, 1406671/2304, 
  304055/1536, 739657/1536, -1035109/1152, -133081/768, -540155/2304, 15/4, 
  145545/256, -15/4, -23/16, -245/24, -67/48, -955/384, 841/48, 11/6, 
  -265/32, 29/16, -139/48, -287/16, 240317/576, 1955/96, -1024565/2304, 
  -97/16, -1, 13/48, -528395/2304, -5/16, -91/72, 1/4, -41/16, -575/288, 
  -13/24, -5/16, -5/4, 119/72, 7/24, -1/4, -7/8, 39/16, -9/16, -131/32, 
  25/16, 105/32, -107/16, -65/18, 7/8, 277/32, 349/96, -47/6, 33/2, 89/72, 
  -575/32, -157/16, -39/16, 3/4, 121/32, -11/16, -5/8, 65/16, 391/144, 
  -95/32, -13/8, -3/16, 3/16, 39/16, -5/16, -125/32, 29/16, 299/96, -15/8, 
  39/16, 9/16, -235/96, -19/8, -39/8, 13/16, 47/8, -11/4, -41/12, 99/16, 
  -5/16, 39/16, -139/32, -191/96, -15/8, -11/8, 39/16, -11/16, -63/32, 15/16, 
  53/96, -69/16, 1/2, 89/32, 15/8, 3/16, -3/16, -5/16, 137/144, 49/144, 
  -425/144, 131/144, 5/16, -37/72, -3/4, -49/144, 99/16, -131/144, -7/16, 
  3/4, -28/9, -1/8, 5/16, 15/8, -1, -1/36, 227/144, -325/288, 39/16, -217/72, 
  -173/144, -43/32, -509/288, 5/8, -45/8, 389/144, 113/32, 51/16, -407/144, 
  1, 1, 3/16, 371/144, -3/16, 8491/128, 391933/4608, 154075/1152, 
  -26821/2304, 952027/4608, 79271/768, -1153/128, -310757/768, -1310231/2304, 
  -6707/32, -2884327/4608, -54585/256, -19/4, -23243/1536, 10039/32, 
  1881/128, 186571/512, 27145/192, 1, 93571/768, 46881/512, 9/8, 143/128, 
  4795/1536, -147543/512, -3925/384, -510665/1536, -16609/384, -21/2, 
  4295969/6912, 18190271/13824, 3131/384, 5388671/6912, 15673/384, 
  -6523/1536, -14181143/13824, -1966837/3456, 3611/1536, 21865/192, 
  -59369/384, -172157/4608, -8595/128, 25261/768, -1045/288, -3096709/3456, 
  32310265/4608, 10843/384, -1034821/864, 373/72, -118127/2304, 1, 
  -27841967/13824, -5/8, 1/2, 17/16, -1/2, -7/16, 5/4, 37/16, -9/4, 1/16, 
  -103/32, -21/32, -61/16, -25/16, 79/32, 35/32, 9/4, 5/4, -101/16, 
  674123/2304, 78515/256, 79/36, 647/72, 737/144, 543/128, 37587/1024, 
  -3079/512, -115/48, 1805977/9216, -23/96, 7607/1536, -157183/512, 
  -600841/3072, 4327/512, 31/16, -146153/1152, -16961/128, -81/32, -199/48, 
  -5/8, -774217/3072, -1631809/4608, -83/32, 185463/1024, 5/2, -5/2, 5/24, 
  -1/6, -17/48, 1/6, 7/48, -5/24, -5/16, 1/4, 1/4, 29/96, -7/96, 23/48, 5/48, 
  -37/96, -7/96, -1/4, -1/12, -73/48, -119/432, 169/216, 191/432, -311/432, 
  -9/8, 1613/432, 1/6, 611/864, -109/24, 41/432, 41/16, -13/6, -319/864, 
  -23/16, 21/16, -19/24, 1/3, -20/27, 43/432, 685/864, -871/432, 371/432, 
  82/27, 19/27, 533/432, -1/3, -1/3, -533/432, 9991/144, -218981/576, 
  -306359/2304, -231067/768, 137195/1152, 42611/384, -67769/1152, 
  959909/2304, 285191/6912, 678905/2304, -2076079/6912, -42923/384, -5/12, 
  13/6, 1255069/6912, 311399/3456, -39/16, 9/16, 131/32, -25/16, -105/32, 
  -8779/144, 4193261/6912, 303191/2304, 2180827/6912, -4606391/6912, 
  -386603/3456, -2701/768, -289079/6912, -980735/3456, -365543/6912, 39/16, 
  -3/4, -121/32, 11/16, 5/8, -1554913/6912, 149/48, 439211/1152, -7067/432, 
  3/16, -47/16, 7/4, -5/4, -23/2, 17/3, -5/8, -17/3, -5/4, 5/4, 5/4, 5/2, 0, 
  -3/4, 1/2, 1/4, -1/2, -23/4, -21/4, -1/8, 1/8, -1/2, 3/4, 3/2, 1/2, -1/2, 
  -81811/768, 100555/768, 27173/96, 3/2, -27/4, 9/4, -9/4, 7/2, -3/2, 19/4, 
  -9065/32, 3/4, -29291/192, 21/8, 5/16, -5/16, -1/4, -5/4, 5/2, 3/2, 5/8, 
  -7/4, -3/4, -1/4, 1/2, -23/16, 1, 2, 5/2, -1/4, 2, 0, 1/4, -5/4, -2, 1/2, 
  -1/2, 1/2, -1/2, -5/16, -43/12, 5/16, -11/16, -1/16, -5/2, 5/2, -5/2, 27/2, 
  -27/2, 27/2, -25/2, -9/8, 25/2, 0, -14, -1/4, 1/4, -1/4, 1/2, -1/2, -1/2, 
  -5/4, 5/4, -3/4, 31/2, 3/4, -59/4, -1/2, -7/4, -1/2, 23/2, -281891/2304, 
  -7/4, 3/4, 145099/192, 13/4, -5/8, -13/4, -1/2, -1/2, -3/8, 1/2, -1/2, 
  -1/2, -3/8, 1/2, 5/16, 71/24, 11/16, -5/16, -1/4, -151/24, 17/8, 3/4, -5/8, 
  11/8, -17/3, 11/4, -15/8, 151/48, -5/16, -151/48, 1, -1/2, -1, 5/16, 37/12, 
  -1/16, 3/16, 3/16, -5/16, 7/3, 7/8, 29/16, -7/16, -1437583/6912, 
  -1449679/1728, 11/2, 1448239/1152, -29552831/6912, -29046527/6912, -41/2, 
  1, -1392655/3456, 145/4, -17/2, 117/2, -2, 1362415/1728, -139/2, 39, 1/8, 
  3/4, -21/8, -45/4, -1/2, 1470415/2304, 9/2, -27/4, 4, 19/8, -1471279/3456, 
  183/8, 33/8, 9, -43/8, -1477327/3456, 29188223/6912, 29110463/6912, -17/2, 
  1/2, 9, 1/4, 3/4, 1/4, -3/4, -6, -21/4, -79871/192, 13, -54985/384, -67/4, 
  1/2, 71/4, -19/2, -17/2, 37/4, -1/2, -39/4, 41/2, 41/2, -1/8, 7/8, 
  -79823/192, 13, -54985/192, -54985/384, 3/2, -3/2, 1/2, 7/4, -15/2, -207/8, 
  8, -77459/192, -79139/192, 31/2, -11/4, -63/4, 3, -7/4, -9/4, 23/2, -23/2, 
  281891/2304, -255395/2304, -7/4, 1/4, -147547/192, 145099/192, -31/2, 9/2, 
  67/4, -149467/192, -19/4, -31/2, 152251/192, 2, -48943/128, -152299/192, 
  -1/2, -1/4, 1/2, 7/2, -5/4, 21/2, -145435/192, -31446227/6912, 
  12822613/6912, 31446227/6912, -12822613/2304, -31446227/6912, 
  -20398783/6912, 34957033/3456, -27173/96, 81811/768, 91/16, 86483/512, 9/8, 
  -5/4, 25/16, 70099/1536, 8, -10, 8, -91/4, -73/2, -10, -9/2, 5, -113/12, 
  -43/8, 9065/32, -100555/768, -108139/768, 81/8, -103195/1536, -108139/768, 
  -53/16, -5/4, 3497/12, -73747/1536, 5/4, 89/16, 9059/64, -76195/768, -15/4, 
  3/16, 27557/192, -57/16, -91/16, 67795/1536, -9/8, 5/4, 93/8, 107/48, 
  -71059/1536, -9, 39635/144, -25761113/10368, 40787/144, -6807683/5184, 
  -13593739/5184, -10, -12242623/10368, -61/2, 22705931/6912, 26, 
  -13603135/5184, -28158155/20736, -5, -93/4, 7/12, 53/8, 16, 5/2, -6, 11, 
  -91/8, -73/4, -9/4, -69/2, 2598001/256, 61/2, -847123/81, -130470853/20736, 
  -89/2, 2595153/256, 81/2, -846151/81, -130304965/20736, 27097/96, 
  -95861/768, 5/4, -1099/48, 23945/192, -101177/768, 593/24, -1, -79417/192, 
  -19/8, -984379/1152, -200783/768, 563483/2304, -959269/1152, 729499/768, 
  -13, -1091689/2304, -327/32, 1469149/2304, -4433/16, 287863/768, 
  -262291/2304, 81/4, -55/16, -53/8, 5/4, 1099/48, -27265/192, -1791/64, 
  -593/24, -1, 86899/1152, -84019/1152, 2, -1/4, -3/8, -1/4, -1/2, 1/4, -1/8, 
  0, -56075521/6912, -3, 56075521/6912, 3/8, 5/8, -5/8, 5/8, 1, -1/4, -1/8, 
  1765/144, -13364581/3456, 1/4, 1, 1/2, -563483/2304, -1/2, 25/16, 19/16, 
  2433889/2304, -49, -56898049/13824, 17/2, 57557281/13824, 9/4, 
  -111727259/13824, -9/8, 73901/1536, 56282419/13824, -151/4, 55771921/3456, 
  35, -56369071/3456, -56292787/6912, 4, -32165/384, 1/2, 28997/384, 
  86863/288, -14, -54226963/13824, 39/4, 54058483/13824, -86647/576, 5/16, 
  31/16, -11/8, 137/4, 14008621/1152, -95/8, -28660187/6912, -56303155/13824, 
  9/4, -55359457/6912, -1, 56421565/6912, 56297107/6912, 6, -56066881/6912, 
  -87/8, 56098849/6912, 13/8, 6751091/1728, -86135/2304, 5/8, -13983001/1728, 
  -9/8, 13981057/1728, -1/4, 5/8, 1/4, 5/8, -7/8, -3/8, 3/2, 3/8, 
  -146227/1152, 6750227/1728, 67813/768, -31/4, -136543741/6912, 31/4, 
  24646901/6912, -13/8, 5/4, -13982785/1728, 3/8, 13982137/1728, -1/2, 
  12553/384, -1765/144, -12553/1152, 12553/1152, 12553/1152, 3306553/864, 
  -3306553/864, 46123/1152, -27455729/6912, -105359867/6912, 27455729/6912, 
  -5/8, 13272335/1152, 5/8, -13271615/1152, -13272335/1152, -5/8, -1/2, 5/4, 
  -13363285/3456, 1/4, -1/2, -35/16, 1/4, 39/8, 244609/2304, 7/8, 
  742063/2304, -15/16, -747247/2304, -742063/2304, -13/8, 27/16, 13/8, 
  244609/2304, 200975/768, -53365/576, -204527/768, -145801/288, 
  -742063/2304, -43/16, 738319/2304, 742063/2304, -742423/1152, 1/4, 
  742927/1152, 435415/256, 119/8, -1/2, 0, 121/12, 49619/128, 472399/1152, 
  5/8, 748543/2304, 27/16, -749839/2304, 280747/384, 1, -2, 3, 1/4, 3/2, -2, 
  3, -61/16, 203/32, 27/8, -675/16, -9/4, 217/48, 355/36, 3527/96, -481/18, 
  15/8, 95419/5376, -9173/768, -19595/1344, -274615/4032, -208447/5376, 
  36203/2304, 3307/112, -81, 7347/448, 23531/224, 58, -36131/448, 671/48, 
  242/9, -3455/96, -491/18, 99/8, 1159/48, 70/9, 1343/96, -1523/36, 19/8, 
  -75/8, -44/3, 12, 245/6, -23/2, 1, 1/2, 0, 1, -1, 2, 3/4, 1, -6, 1/2, 5, 7, 
  45/4, -23/2, 0, -1, -37/4, -3/2, 5, -13/4, -1/2, 121/14, -113/28, 3/4, -2, 
  205/56, -9/4, 195/56, 63/16, 1827/184, -107/92, -967/92, -1607/184, -27/8, 
  1119/184, 45/8, 181/368, 543/1288, -2511/1288, -1527/644, -543/1288, -9, 
  19/2, 1/4, -5/4, -1/2, -5/4, -1/4, 1, 5/4, -545249/2576, 50781/2576, 
  -538455/1288, 41/28, -477/184, -59/28, -347/184, 9/14, 41/28, -4189/2576, 
  -273535/7728, 11, -1525007/9660, 101/420, 16507/322, 13207/3864, 8823/280, 
  -246901/920, -1573/70, 948467/12880, -19105/1288, -1, 1, -2, -1/2, 1, -1/4, 
  -1/4, 1/4, -1/2, 1/4, 0, 5/2, -1, -5/2, -1/2, -9/2, -7/8, -7/2, 5/8, 8, 
  -21, 25/4, 7, -33/2, -266201/1152, -292249/576, -805/9, 24617/64, 
  -236689/192, 13979/32, -263/256, -29557/768, 583/24, 522437/6144, 
  108533/144, -27958241/27648, -19/72, -33/8, 9/2, -33/16, 9/4, 5/4, 319/18, 
  157/24, -5/8, -1153/144, -17/3, 3/2, -5/4, -49/9, -1267/36, -319/18, 
  2237/144, -1/4, -181/72, -1547/48, -29/18, 13/8, 1/8, 145/9, -31/8, 
  -2309/144, 3/4, 2597/144, 2309/144, 2057/144, -37/8, -181/72, -3247/144, 
  -77/36, 13/8, 4, 791/72, 41/8, -1985/144, 41/8, 799/72, 2633/144, -365/144, 
  313/72, -101/72, -181/48, -35/18, 35/16, 97/48, -17/18, -2267/144, 29/9, 
  2179/72, 2543/144, -799/72, 9/8, -1365199/6912, -4115/72, -159/8, 
  -1368631/1728, -7787/72, 754/9, 15/8, -17793761/13824, -1448719/3456, 
  10476901/13824, -957475/4608, -146808619/55296, -11062777/6912, 
  -151833769/55296, -2863/18, 284512835/55296, 199/128, 17831777/6912, 
  -222103579/55296, -10573669/6912, -317548747/55296, 8007661/13824, 
  1027747/2304, 542631545/55296, 46397845/13824, -27451715/18432, 
  222528905/55296, 25973/192, -7783/1152, -2896141/6912, -63/2, 
  57214639/18432, -7518565/13824, -1301/48, -51731455/27648, -613411/4608, 
  -63195067/27648, -62513659/27648, -1669/72, 383359/768, 268217/2304, 
  983/24, -23001/64, 61/12, -358585/2304, 52187/384, -995/18, 560509/1536, 
  1036639/1536, 370483/4608, -664459/1536, -71561/768, -283/9, 266489/1152, 
  911/12, 877/18, 522803/2304, -11239/144, -27341/64, 5849/144, -97729/2304, 
  -1241/18, -336281/576, -1487/9, -83/36, 25/2, 265625/1152, 401/24, 
  872555/2304, 3757/72, -589693/1536, -2238041/4608, 279651/512, 871285/4608, 
  9/4, -23321/64, 2501147/2304, -241037/768, -13979/32, -128/9, 267641/2304, 
  451/12, 1823/144, -350281/2304, -1495/48, -57905/1152, 1963/144, 
  759799/1152, -4319/144, -1059127/2304, -939925/2304, -29425/384, 
  -297719/2304, -97841/2304, 37925/384, 6051847/6912, 31/2, -43518619/55296, 
  -13/8, -319237/2304, 43366555/55296, -41997979/55296, 185/256, 9/16, 
  39883699/55296, 1043/48, 152105/128, -3/8, 20454101/55296, -1194521/768, 
  41873563/55296, 593093/6144, 21036677/27648, -55411243/55296, 
  -25211453/27648, -7419/128, -300023/2304, -142001/2304, 114031/576, 
  441601/576, 6076663/3456, -13/9, 5/16, -437861/576, -13/4, -28119427/27648, 
  15/8, -167/48, 167/48, 0, 659/144, 25/16, -3/8, -26573/192, -85/16, 
  -101/1152, 21219/64, -99199/2304, -95323/768, 10526117/4608, 26573/192, 
  85/16, -27173/96, -81811/768, -3/4, -82963/768, -81043/1536, -131/16, 
  -24742865/13824, 82387/768, 1357939/2304, 130361603/27648, -80755/768, 
  -1359667/2304, 74731/288, 2146189/4608, 81043/1536, -943073/2304, 
  -29129/192, 23201147/13824, -76063/288, 3450065/4608, -4751197/4608, 
  -33052577/6912, -3460433/4608, -81043/768, -13715/24, -6467531/1728, 
  -739633/2304, -2662079/384, 8409839/4608, 30907541/6912, -38641/72, 
  478016585/27648, 69540881/13824, -2572333975/221184, 57085253/27648, 
  135000653/55296, -10696075/3456, 139882387/55296, -3922546721/331776, 
  966925897/221184, 12107022709/331776, 1083297145/36864, -38641/72, 
  956489533/55296, 139724749/27648, 4031476685/331776, 60989525/27648, 
  135000653/55296, 6597563/13824, 6528551/6912, -10696075/3456, 
  17618333/6912, 28714477/36864, 965960533/165888, 11945664109/331776, 
  5565649099/331776, -359507/2304, 67843541/24576, -3291271/3072, 
  -84243/1024, -8478270965/663552, -8407/64, -3081439/1152, -194681/1536, 
  2612694925/331776, -2579423/1024, -279862769/24576, -5908403489/663552, 
  101/1152, -117371/192, -91081/1152, -27/8, -9007/32, -140599/576, 
  62804471/13824, -5229467/3456, 40974479/13824, -5809723/864, 
  -70031801/13824, 225118237/6144, -1589732507/55296, -6306880133/110592, 
  7167864899/110592, -210779/1152, -428913011/13824, -179587705/55296, 
  65487149/13824, -5893433/13824, 43911233/13824, -27509659/4608, 
  3775935761/55296, -3311604361/55296, -604696385/27648, -1787538461/36864, 
  4721925485/36864, -210779/1152, -427510883/13824, 1056113593/27648, 
  16566791/3456, 2223631/13824, 43911233/13824, 7119779/6912, 14035867/6912, 
  -27509659/4608, 3769759169/55296, -468669653/3072, -543598403/13824, 
  -5467665335/110592, 19804532323/110592, -52883/288, 352294727/13824, 
  -8767883/4608, -237773/4608, -48093869/6912, -90227/96, -7024439/3456, 
  283229/1152, -3271339085/55296, 1292301/512, 679674733/27648, 
  618266315/18432, 216725/144, -167833/576, -585047/1152, -54895801/3456, 
  16414153/13824, -15788761/864, -1, -15763031/13824, 15780311/13824, 
  -93193165/18432, 93193165/18432, -5/2, -15/8, 11/16, -15809687/13824, 
  157937/1536, -93217357/18432, 14669/32, 124433939/36864, -50748035/13824, 
  312907843/27648, 12143111/13824, -1668217867/110592, -844004899/55296, 
  62594557/18432, 750203077/27648, -1030017083/55296, -559156613/27648, 
  807219935/55296, 4309147765/110592, 2295871481/110592, -7619/32, 12133/768, 
  81139/576, 24259/32, 297042781/55296, 40079/64, -326404693/55296, -247/8, 
  44353/96, 89/4, -479376521/27648, -84145/288, -1871/4, 448448837/55296, 
  -202348699/110592, 58503875/13824, -92769083/6144, -32451047/13824, 
  253337051/36864, 510435949/110592, -5299045/27648, -1891376921/110592, 
  32390221/3072, 4406917/192, 50854769/55296, -2955962789/110592, 
  -10588347/4096, -67/8, -454901801/110592, -73531699/55296, -12859/48, 
  -5707645/36864, 212549/192, 454238249/110592, 763757615/110592, 
  3866861/36864, -74762081/12288, 455351081/110592, -59608567/18432, 
  -54062081/4608, 18670255/110592, -31589767/2304, -75649/192, 
  -56436025/13824, 2831/144, 77525/192, 931463017/110592, 80231/192, 
  -503185841/110592, -517/48, 54744721/6912, 3/4, -893189977/55296, 
  128371/1152, -20017/48, 5834467/1024, 30710771/9216, -5/4, 71569/384, 
  -30722291/9216, -71569/384, 15840791/9216, 2051275/3072, 93233485/12288, 
  81283/288, -17513753/4608, -81229/288, 18691097/10368, 17504249/4608, 
  -18693689/10368, 27/16, -971455/1152, -5/4, 971815/1152, -32273/48, 
  -181104209/13824, -93346273/20736, 86981197/9216, 59132101/6912, -437/72, 
  443491541/82944, -15458813/4608, 87212575/13824, 548363/768, 90681769/6912, 
  3860305/1152, 665444305/110592, 93781781/6144, -20041/48, 3129799/1536, 
  207751295/27648, 5834467/1024, 38161313/13824, 95923/1536, 
  -379401997/27648, -38144033/13824, 85825351/13824, -93217357/36864, 
  15840791/9216, 117832657/36864, 93233485/12288, 19993/144, -27095749/5184, 
  -17490473/9216, -73543/576, 44932693/20736, 17490473/9216, 21163061/6912, 
  -1/48, 2363935/4608, -1, 7311599/4608, -3/8, 76021/288, 41821643/13824, 
  -45122321/110592, -51318149/13824, -74335667/18432, 427380643/110592, 
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  0, 0, -3/8, -1/8, 13/24, 7/24, 3/8, 0, 0, -49/48, -19/48, 1/8, 29/48, 5/48, 
  0, -1/8, 1/8, 5/8, -1/16, -7/12, -5/48, -1/4, -3/4, -3/8, 3/8, 43/48, 5/48, 
  1/8, 5/8, 1/4, 1/8, -1/8, -1/8, 1/16, 1/24, 0, 1/4, 1/4, -3/16, -1/8, -1/8, 
  1/8, -1/2, -3/4, -3/16, 3/8, 1/2, -5/16, -1/4, 3/4, 5/4, 7/12, -1/8, -3/8, 
  7/48, 0, -1/4, -3/4, -7/48, 5/8, 1/4, -1/8, 0, -1/8, 3/16, 3/16, 1/8, 1/8, 
  -3/16, -3/16, 0, 0, -1/8, 0, 3/16, 0, 0, 0, 0, 1/16, 1/8, 0, 1/8, 1/8, 
  -3/16, -3/16, 0, 0, 0, -1/16, -1/8, 0, 0, 0, 0, 0, -1/2, 1/2, 0, 0, 1, 
  -1/2, -1, 0, 0, 0, 0, 0, 3/4, 0, 0, 0, -1/2, 1/2, 2, 0, -5/2, -2, 3/2, 
  -1/2, 0, 1/2, 1, -2, 0, 21/4, -2, 0, 0, -1/4, -2, -41/4, 0, 13/2, 5, 3/2, 
  1/4, -7/4, 5/4, 3/4, -3/4, -1, -1/8, 13/8, 27/8, -5/8, 7/4, -1/2, 1/2, 0, 
  1/4, 0, 1/2, 2, -9/4, -2, 0, 0, 0, 0, -1, -1/2, 1, 1, 0, -2, 0, 0, 1/2, 
  3/2, -3/2, -3/2, 0, -1, 0, 0, 0, 0, 0, 0, 0, -3/2, -3/4, 3/4, 1, 3/4, -3/2, 
  -7/4, 3/4, 0, 0, -2, 0, 1/4, 0, -1/4, -1/2, 0, 1/2, 2, 1/2, -7/2, -2, 9/4, 
  -1, 2, -3/2, 39/8, -63/8, 0, 0, 0, 0, -63/4, 6, 1/4, 1/2, 87/4, 0, -21/2, 
  -25/4, 1/4, 0, 0, 0, 0, 1/2, -7/8, 17/8, 2, -27/8, 7/8, -5, -1, 3, 5, -1/2, 
  5/2, -5/4, 1/2, -13/8, 3/8, 0, 0, 13/4, -2, -1, 1, 1, -1/2, -7/4, 1/4, 
  31/8, -9/4, 7/8, 3/4, 1/2, -1/4, 0, 0, -1, 1, 1, 1/2, -1/2, -1/2, -1/4, 2, 
  -2, -2, 0, 0, -1, -5/2, 1, 13/4, 5/2, 1, 1/2, -1/2, 17/12, -7/24, -19/24, 
  0, -5/16, 0, 0, -3/8, 1/4, -1/8, 3/8, -1/4, -11/4, -31/24, 55/24, 7/4, 1/2, 
  31/48, 53/48, -1/8, -49/48, -3/4, 3/4, -1/2, 1/2, -5/4, -1/2, 13/8, -5/4, 
  7/8, -1/4, 3/4, -1/2, 0, 1/4, 37/24, -43/24, 0, 0, 0, 0, 0, 0, 5/12, -5/12, 
  -29/36, 5/4, 0, 1, 1/9, 1/4, -1, 0, -3/2, 0, 0, -5/18, 0, -13/18, 0, 3/2, 
  0, 5/18, 0, 13/18, -5/18, 13/6, -23/12, -23/12, 0, 0, -16/9, 0, 0, 0, 0, 0, 
  -5/12, 5/12, -23/36, 55/72, -7/9, 23/36, -1, -1/9, -11/12, 1, 0, -11/12, 
  25/18, 1/2, -23/36, 1/2, 17/9, 23/36, -1/2, -3/2, -1/2, 1/2, 0, 0, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 0, 0, -91/32, 0, 0, 1/12, 0, 0, -1/12, 0, 0, 1/24, 0, 
  0, 91/32, 13/48, -91/32, -91/32, 0, 0, 0, -1/6, -3/4, 7/12, 1/4, 0, -7/12, 
  3/8, 0, -1/12, 0, -5/6, 0, 1/12, -1/12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1/8, 
  -5/12, 1/24, -1/8, 7/24, 0, -5/12, 0, 0, 0, 0, 0, 0, 0, 5/24, -1/12, -1/3, 
  17/12, 1/3, -15/8, -17/12, -5/24, 25/24, 3/2, 23/24, -3/4, 5/12, -13/12, 
  -31/12, 17/12, -1/2, -7/6, -17/12, -5/12, 49/24, 3/2, 7/6, -3/4, -5/12, 
  5/12, 33/4, -97/48, 5, 57/4, 53/24, 443/16, -125/24, 257/12, -21/4, 45/2, 
  2527/96, -51/4, -1195/24, -91/12, -67/8, -987/32, 1435/96, -843/16, 
  -2771/48, 197/48, 97/2, 647/6, -199/24, -6331/96, -333/8, 7/2, 11051/96, 
  -115/48, 1439/144, 1451/144, 209/48, 19/144, -1631/144, -16, 11/48, -229/8, 
  -185/18, 1969/144, 1253/72, 793/48, 1109/144, -1699/144, -203/24, 
  -13789/288, 545/72, 3989/96, 19/24, -231/8, 209/36, 551/72, -2695/288, 1/2, 
  31/48, 53/48, -1/8, 119/48, -3/8, -1/24, -107/16, -443/16, 25/24, -707/48, 
  -1, -11/2, 367/32, 81/16, 15/4, 337/48, 4055/96, 67/8, 173/96, -1363/96, 
  139/8, 459/16, 57/8, -217/16, -513/16, -137/16, 281/32, 545/48, -1367/48, 
  -457/36, -8341/288, 1309/72, 86/3, 733/24, -7, -211/8, -2197/24, 353/24, 
  1179/16, 215/12, -1055/32, 91/72, -1763/144, -1291/144, -3/4, -7/4, 5/2, 
  577/48, 1/2, -15/8, -493/48, -5/8, -1/12, -395/48, -47/12, 827/48, 79/24, 
  79/24, -20/3, 73/2, 967/48, 599/48, 703/48, 0, 10/3, -2053/96, 0, 647/96, 
  23/16, -19/48, -29/24, 3/4, 31/12, 25/48, 71/24, -25/48, 7/48, -205/16, 
  -1/4, 3/4, -1/2, 1, 7/8, -1/4, 5/4, -85/16, 55/4, -5/4, 245/16, -5/8, 
  -11/2, 67/8, 17/8, 15/4, -1/24, -3463/96, -20/3, 923/96, 967/48, 89/48, 
  3/2, 85/48, -17/24, -47/8, 5/16, -183/16, 61/48, 95/16, 1/8, -947/48, -9, 
  11/24, 37/12, 17/12, -649/48, 87/32, -1/6, -533/96, 41/48, -343/96, 29/48, 
  -349/32, 2, 2, 0, 3/8, 0, 0, 3/8, 175/24, 1109/288, -809/144, 3/8, 0, 3/4, 
  -1/2, 1, -17/8, -1, 0, 0, 0, 0, 0, 0, 163/24, 1109/288, -737/144, 13/3, 
  197/24, 33/8, -35/6, 1/2, 0, 7/3, 1/4, -19/12, -13/4, -49/24, 7/3, 41/6, 
  61/24, -37/12, 19/12, 23/8, 19/8, -47/24, 3/8, 29/6, 39/16, 7/4, 37/24, 
  -37/24, -59/24, -99/16, 19/12, -157/24, 1, -113/24, 109/16, 257/48, -17/8, 
  0, 71/8, 91/16, 99/16, -99/16, -311/96, 289/48, 0, 93/16, 225/32, 0, 0, 0, 
  103/16, 99/16, 7/6, -65/96, -65/16, -127/96, 0, 0, 2/3, 47/8, 4/3, 175/16, 
  181/24, 4, -46/3, -317/48, 223/48, -4/3, -1489/48, -313/24, 359/16, 241/12, 
  0, 0, 0, -5/18, 0, -17/36, 5/18, 0, -7/9, 5/18, 0, 0, 0, 0, -1/9, -13/18, 
  7/9, -1/4, 0, -1/4, 241/72, 7/3, 0, -1/4, 0, 0, 0, 1/3, -1/6, 1/2, -5/18, 
  -1, -1/2, 0, 0, -5/12, 65/36, 1/6, 0, -29/36, -1/24, 1/4, 1/4, -5/12, -1/9, 
  -3/2, -163/72, 13/36, -1/4, 0, 1/6, 1/4, 0, 1/36, -13/36, 53/36, 167/72, 0, 
  11/72, -23/18, -113/72, 0, 0, -11/72, 0, 0, 1/2, 0, 41/72, -71/36, -167/72, 
  -5/9, -19/36, 5/24, 5/9, -19/36, 0, 1/2, 19/36, -1/4, -29/72, 23/12, 
  167/72, 1/4, 0, 29/72, -145/72, -167/72, 0, 0, 7/72, 0, 19/18, 0, 29/72, 
  -29/12, -167/72, -19/18, -29/36, 79/72, 19/18, -29/36, 0, 1/2, 29/36, -1/6, 
  -1/12, -1/3, 5/8, -2/3, -37/24, 0, 0, 5/8, -1/4, 1/6, 11/24, 7/12, -11/24, 
  5/18, 11/12, 37/72, -3/8, 5/9, 45/2, -1439/96, -10435/144, -17617/288, 
  2939/144, -695/48, -3107/144, 19783/144, 1515/32, 14207/72, -985/48, 
  3217/32, 101/48, -83033/576, -2145/16, -2489/48, 34909/288, 1619/96, 
  26645/576, 11/12, 6439/36, -24017/576, -892045/1728, -15233/288, 
  -82375/192, -305/8, -615905/1728, -130499/864, -103/48, 1439/144, 1487/144, 
  1285/48, -1567/72, -5273/144, -217/16, -1413/32, 355/16, 5501/96, -185/12, 
  -18241/192, -337/16, -173/96, 39233/216, 143/9, -123373/1728, 529/96, 
  4631/144, -545/144, -259855/1728, -787/18, -251/24, -295/576, 1439/144, 
  4307/144, 2307/64, -185/144, 739/96, 319/36, -1653/32, -1961/96, 
  -47551/576, 79/48, -7897/192, 253/32, 29419/576, 3631/96, 637/32, -422/27, 
  -15467/576, -1441/96, -29101/1728, -35/72, -114485/1728, 84391/1728, 
  92233/1728, 137473/576, 3859/216, -1499/192, 309/8, 52711/192, 130499/864, 
  -259/24, 5467/576, 1219/96, 2857/72, 11731/576, -61/4, 559/96, 91/9, 
  -1049/16, -605/24, -55721/576, 13, -6313/192, 251/12, 21869/288, 3091/96, 
  1943/96, -2239/864, -5289/64, -361/48, -51089/864, -109/144, -128579/1728, 
  -58669/576, 15767/864, 2113/9, 7351/864, 138953/288, -1/4, 66527/432, 3/4, 
  -79/48, 1511/144, 1487/144, 1087/48, -5845/288, -2311/72, -229/16, -593/12, 
  571/24, 2093/32, -365/48, -645/8, -445/24, 281/48, 32441/216, 299/24, 
  -32015/864, -155/12, -3457/144, -367/72, -9823/432, 1291/144, 3/4, 0, 
  -15/8, 0, 9/8, -1, -1, 0, 9/4, 3/2, -9/8, 1, -3/2, 0, -71/48, -763/48, 
  49/36, -211/16, 167/144, -4205/144, -1177/288, 128/9, 5935/288, -1021/72, 
  0, -1/4, 1021/72, -5/8, 3/4, 15/8, 3/4, -1/2, -11/8, 1/4, -117/32, -77/8, 
  37/32, 767/96, 15/32, 1011/64, 1/2, 43/8, 1/6, 1467/64, 257/96, 19/8, 1/4, 
  -85/16, -7/4, 193/96, -247/32, -3419/576, 65/16, 43/6, 2159/576, -43/96, 
  1523/192, 435/16, 1225/576, -43/8, -49/24, -6433/576, -139/8, 91/144, 
  -1079/576, 191/144, -14077/576, 907/64, -689/576, -481/36, -3285/32, -1/4, 
  529/576, 227/96, -43/576, 113/16, -307/96, 5143/576, 9/8, -267/32, 
  -4499/576, -173/8, 157/96, -7451/576, -9/8, 2051/192, 349/16, 577/144, 
  -29/4, -83/48, 769/144, -5143/96, 49/36, -211/16, 167/144, -14857/576, 
  19417/288, 265/18, -1459/288, -1021/72, 0, -1/4, 1021/72, 3/4, 7/4, -1, 0, 
  3/2, 1, -3/2, 0, -3, -67/12, 17/24, 713/48, -7423/288, -5/4, 9823/288, 0, 
  391/96, 0, 11629/288, 133/32, -9173/144, 1109/288, -6101/288, 19937/288, 
  2693/144, 535/48, 465/16, -6565/288, -10873/144, -1811/288, 301/96, 
  7207/288, 1387/72, 2395/32, 5231/48, -535/144, 7661/288, -1109/864, 
  -3109/288, -11381/216, 19/32, 535/144, -7661/288, 1109/864, 3055/288, 
  92353/864, -19/32, 0, 1811/864, -46829/864, -1811/864, 535/144, -21265/576, 
  3055/288, 18197/432, -31/32, 2029/192, 2873/432, -38293/864, -833/108, 
  1981/192, -47641/1728, 1121/108, 40585/1728, 49859/1728, 3/8, 3/4, 3/8, 
  -1/4, -1/2, 1/8, 1/4, -277/96, -2395/32, -2753/144, 241/96, 2567/16, 
  1387/72, -2751/32, 277/96, 11381/192, 1345/72, -13637/192, 2989/192, 29/6, 
  39/16, 3/2, -11/12, 0, -99/16, 73/24, -97/24, 0, -101/24, 109/16, 89/48, 
  -17/8, 187/144, -4673/576, 49/9, -395/72, -239/72, 95/48, 5369/1728, 
  -30529/1728, -1109/864, -35/96, -2051/36, 1109/192, -1777/96, 20845/288, 
  223/8, 419/48, 13915/288, 301/144, 2257/96, -9379/192, -243/8, 95/48, 
  -169/64, -14849/576, -1577/288, 35/96, 67051/576, -1109/192, 2191/96, 
  -159677/576, -361/12, -34235/576, 0, 13425/64, 0, 5/4, 625/96, 191/48, 
  37/12, -527/48, -49/24, 175/32, -1/4, 5/12, -145/32, 11305/288, -20/3, 
  -5063/144, 1/4, 0, -1/6, -28163/576, 1/8, -5/36, 0, -1/2, 23/144, 11/24, 
  -1/8, 0, 19/36, 7/24, 0, 0, -1/8, 0, 5/16, 0, -3/16, 1/8, 37/72, 0, 1/16, 
  -121/48, -53/24, 1/4, -5/36, -5/16, -3/8, 1/8, 0, -3/16, 0, 0, -1/4, 5/18, 
  7/16, 1/8, 0, 0, -1/8, 0, 3/16, 0, -5/48, 0, -1/8, 0, 1/12, 0, 1/4, 0, 
  -1/4, 0, 7/48, -1/8, 0, -1/8, 1/16, 1/24, 0, 0, -1/8, 0, 1/16, 0, -1/24, 
  1/8, 0, -1/16, 0, 0, 0, 1/8, 1/72, -43/72, 53/72, 97/72, -1/8, -5/36, 0, 
  43/72, -3/8, -97/72, 1/8, 0, -13/36, 0, -1/8, 1/4, 0, 17/36, -71/72, 
  -167/144, -1/8, -19/72, -19/72, 3/16, 11/144, 0, 0, 19/72, 1/16, 1/8, 
  -19/72, 0, 1/4, 0, 19/72, 0, -221/24, -3763/576, 1439/144, 1949/144, 
  14231/576, 185/48, 221/32, 2935/96, -1567/72, -71/32, -38657/576, -71/4, 
  -5/8, -7741/192, -1413/32, -213/32, 659/64, 281/24, 11/4, 5573/96, 1931/64, 
  -15/8, 811/96, -323/8, -18241/192, -1019/32, -3683/48, -13/6, 7/12, 
  6413/1728, 261715/1728, 219/32, 106033/864, -23/24, -193/96, -36919/1728, 
  -95855/1728, -401/192, -271/24, -6811/96, 4631/144, -17/3, 581/12, 
  -167/144, 45773/864, 84947/144, -1393/48, -376925/1728, 1289/144, -787/18, 
  1/4, -146195/864, 1/4, 0, -5/8, 0, 3/8, -1/2, -9/8, 0, 3/8, 27/16, 9/16, 
  9/8, 5/8, -27/16, -15/16, 0, 0, -129/32, -3785/288, -77/8, 425/288, 
  509/288, 19/18, 243/32, 431/64, -13/4, -5/96, -3119/576, 5/48, -1907/192, 
  719/64, 485/48, 29/4, 1/8, 185/36, 39/8, 1/16, -5/24, 0, 2735/192, 
  -11213/576, -3/16, 583/32, -1/8, 1/8, -1/12, 0, 5/24, 0, -1/8, 1/12, 1/8, 
  0, -1/6, -3/16, 1/16, -1/8, -1/24, 3/16, 1/16, 0, 0, 1/24, -1/216, 2/27, 
  -53/216, -97/216, 1/6, 7/54, 0, -167/432, -1/24, 97/216, -1/8, -1/12, 
  97/432, -1/24, 1/24, -1/12, 0, -17/108, 71/216, 167/432, -1/27, 19/216, 
  11/54, -1/216, 19/216, 0, -1/12, -19/216, 293/288, -2051/36, 1109/288, 
  -1397/96, 9703/144, 157/8, 535/72, 14389/288, 283/216, 5263/288, 
  -14519/216, -169/8, 0, -39/32, -611/432, -1811/432, 1/8, 0, -5/16, 0, 3/16, 
  -365/288, 201161/1728, -1109/288, 6709/432, -355289/1728, -4289/216, 
  -79/48, 4027/1728, -52255/1728, 4781/864, -1/8, 0, 3/16, 0, 0, 
  -102769/1728, 0, 40355/288, 953/216, 0, 0, -1, -15/4, 15/4, 5/12, 0, -5/12, 
  0, 0, 0, 0, 3/4, 9/4, -5/4, -1/2, 5/4, 7/4, 1/2, 5/8, 0, 1, 1/8, -13/8, -1, 
  1, -1553/24, 2827/48, 1129/48, 5/2, 11/8, -2, 2, -39/8, -5/2, -7/4, 
  -399/16, -29/16, -541/96, 9/8, -1/2, 1/2, 5/8, 0, 3/4, -1/4, 0, 27/8, -5/8, 
  1/2, -1/2, 1, -7/4, -1/2, -4, 1/2, -9/8, 1/8, -1/2, 13/8, 27/8, 0, 0, 0, 0, 
  -1, -23/24, 1, 1, 3/8, 0, 0, 0, 0, 0, 0, 1, 1/2, -1, -1, 0, 5/8, -5/8, 5/8, 
  0, 0, 0, 25/8, -25/8, 25/8, -7/2, -1, -1/4, -13/4, 1, 19/4, -15/4, 
  -6749/576, -19/4, -15/4, 2447/16, 3/2, 0, -3/2, 0, 0, -3/4, 0, 0, 0, -3/4, 
  0, 1, 41/24, -1, -9/8, 0, -7/6, -3/4, 0, 0, 9/4, 5/6, -3/4, -9/4, 7/12, -1, 
  -7/12, 0, 0, 0, 1, 23/24, -3/2, -1, -9/8, 1, 71/24, 1/2, -1, -27/8, 
  -33593/864, -33593/216, 73/2, 31289/144, -582611/1728, -561011/1728, 0, 0, 
  -32729/432, 1, 0, 0, 0, 33593/216, -2, 0, -3/2, 1/2, 3/2, 0, 0, 33593/288, 
  0, 0, -25/2, -3/2, -31001/432, 33/8, -3/8, -23/2, 3/2, -31001/432, 
  567923/1728, 561875/1728, -3, -1, 7/4, 3/4, -5/4, -1/2, 5/4, 7/4, 1/2, 
  181/12, 15/8, 6305/96, -33/4, -1, 23/4, 37/4, 27/4, 21/8, 1, -11/8, -37/2, 
  -137/8, -1/8, -5/2, 557/24, 15/8, 6305/48, 6305/96, -31/8, 31/8, 0, -25/8, 
  -59/8, 189/8, 9/2, 475/48, 721/48, -7/2, 1, 7/4, -21/4, 1, 23/4, -15/4, 
  15/4, 6749/576, -8909/576, -19/4, -11/4, -2363/16, 2447/16, 7/2, -2, -15/4, 
  -2319/16, 25/4, 7/2, 2243/16, -7/4, -16447/192, -2175/16, 1, 1/2, -1, 15/4, 
  19/4, -11/4, -2431/16, -632519/1728, 394427/3456, 632519/1728, 
  -394427/1152, -632519/1728, -1089509/3456, 2448319/3456, -1129/48, 1553/24, 
  -99/32, 371/4, 1/4, 0, 1, 110/3, 0, 0, 0, 99/8, 69/4, 0, -1, 0, 107/24, 
  -47/16, 399/16, -2827/48, -1253/24, -103/16, -2707/96, -1253/24, 115/32, 0, 
  493/24, -3487/96, 0, -47/32, 241/32, -6485/96, 4, -11/8, 1345/96, 33/16, 
  99/32, 110/3, -1/4, 0, -47/16, -179/24, -1619/48, 8, 1499/144, 
  -556853/2592, 1499/144, -342239/5184, -1392689/10368, 0, -380347/2592, 27, 
  65791/216, -47/4, -1435781/10368, 93109/5184, 0, 47/8, 107/24, -47/16, -16, 
  0, -2, -11/4, 99/16, 69/8, -1/2, 49/2, 43235/48, -21/2, -715015/1296, 
  -83665/324, 49/2, 5419/6, -21/2, -715015/1296, -86095/324, 863/48, 1847/96, 
  0, 997/96, 1345/96, 1057/48, -377/48, 29/16, -4103/96, -9/8, -50759/576, 
  -12353/192, 30239/576, -55637/576, 20855/192, 95/16, 20183/576, 49/8, 
  98305/576, -93/4, 8855/96, -14305/576, -103/8, 5/2, 115/16, 0, -997/96, 
  -1169/96, 351/32, 377/48, -5/8, 569/144, -569/144, -3, 3/2, -3/4, -3/2, 0, 
  3/2, 3/4, -41/8, -29813/54, 9/2, 59815/108, -9/4, 0, 0, 1, -3/2, -1, 3/4, 
  1561/144, -128807/432, 5/4, -2, -3/8, -30239/576, 3/8, -9/4, -3, 47315/288, 
  167/16, -55549/216, 3/2, 54739/216, -21/4, -15388/27, 29/16, 1331/96, 
  30077/108, 57/2, 495209/432, -105/8, -482195/432, -59911/108, -49/8, 
  -443/12, 3, 527/12, 361/18, 27/8, -108869/432, 1/2, 109193/432, -1579/144, 
  5/4, -7/2, 9/8, -97/16, 60109/72, -53/16, -240439/864, -29645/108, -83/8, 
  -255571/432, 49/8, 243421/432, 14971/27, -123/8, -29813/54, 12, 30137/54, 
  -27/4, 340601/1728, 75073/576, -2, -1068115/1728, 3/2, 1068763/1728, 3/2, 
  0, -3/4, 0, 3/4, -1/2, 0, 1/2, 22109/288, 340601/1728, 10429/192, -7/2, 
  -1325201/864, 7/4, 130811/432, 3, 0, -1069411/1728, -1, 1066603/1728, 3, 
  -15391/192, -1561/144, 15391/576, -15391/576, -15391/576, 225283/864, 
  -225283/864, 10777/288, -126401/432, -938275/864, 126401/432, 0, 59015/72, 
  0, -59015/72, -59015/72, 0, 1/2, 0, -129455/432, 5/4, 1/2, 9/8, 5/4, -19/2, 
  38611/576, 5/4, -14879/576, 9/4, 15311/576, 14879/576, 5/2, -4, -5/2, 
  38611/576, 12353/192, -132643/576, -12209/192, -33649/288, 14879/576, 3/2, 
  -14375/576, -14879/576, 13943/288, -3/4, -14447/288, 927/8, -107/16, 0, -2, 
  -79/24, 10645/192, 48029/576, 0, -14879/576, -7/2, 13367/576, 36791/192, 0, 
  1, 3, -1/2, -3, -15/8, -49/8, -193/64, 19/16, -23/32, 2625/128, -93/8, 
  -89/64, 43/24, -2135/128, 155/12, -181/96, -4365/1024, 10309/1024, 
  1993/256, 7417/768, -1591/1024, 11653/3072, -16/3, 87/8, -1143/256, 
  -1367/128, -215/16, 5831/256, -111/64, -55/6, 1943/128, -131/12, -695/96, 
  -95/64, 79/24, -319/32, 451/24, 629/96, -53/32, 1/8, -699/128, -13/4, 
  69/16, 1, -1, -1, -2, 0, -1, 1/2, -5/2, 0, 0, 0, 0, -25/4, 3, 1, 2, 13/4, 
  1/2, 1/2, 1/2, 3/2, -7, 5/2, 0, 4, -1/2, 5/2, -9/2, -21/4, 171/184, 48/23, 
  21/184, -401/92, -21/8, -139/23, -3/8, 1229/184, -57/46, 105/46, 81/23, 
  57/46, -5/2, 5/4, -1/2, 13/8, -3/8, 13/8, 1/2, -9/8, -13/8, 9625/69, 
  -321/23, 6127/23, 1, 41/23, -3/2, 11/46, 1/2, 1, -1211/184, 3127/184, 
  -113/8, 21317/460, 61/30, 12255/184, 25693/276, -69/40, 10592/115, 2/5, 
  99187/920, 15887/92, 5/2, -5/2, 0, 0, 0, 3/4, 1/2, -3/4, 7/4, -1/4, -2, 
  -35/8, 2, 17/4, -3/8, 2, 1/2, -4, 15/8, 2, 4, -15/8, -4, 2, 55/18, 113/36, 
  -67/9, 17/2, 617/12, -605/2, -475/32, -889/48, -41/4, 4445/96, 108407/576, 
  -103225/3456, 1/36, 1/2, 3, 7/4, 3/2, -5/8, 67/72, -1/3, 0, 55/72, 1/3, 
  3/4, 5/8, -23/18, -341/72, -67/72, 47/36, 0, 5/18, -9/4, 53/36, -3/4, -9/4, 
  7/9, -3/4, -47/36, 0, 47/36, 47/36, 101/36, -3/4, 5/18, -197/72, 1/36, 
  -3/4, -3/2, 91/36, 21/4, -101/36, 3/4, 265/72, 209/36, -19/18, 29/36, 
  17/36, -7/12, 55/72, 5/4, 4/3, -13/36, -229/72, -7/36, 20/9, 37/18, 55/36, 
  1/2, -32429/864, -77/18, 5/8, -32345/216, -113/18, -4933/288, -1/2, 
  -85303/432, -34067/432, 117355/864, -136939/1152, -808945/3456, 
  -434215/1728, -1941701/6912, 4789/144, 184867/432, 451/16, 85735/216, 
  -179917/864, -117787/432, -1716859/3456, 412747/3456, 137515/576, 
  2651219/3456, 1877407/3456, -284329/2304, 3044239/6912, -353/24, -4187/144, 
  -39785/864, -61/32, 83779/288, -51635/432, 689/96, -4751/54, -2887/72, 
  -596333/3456, -592589/3456, -557/144, -367/24, -59/18, 127/48, 91/8, 11/6, 
  913/72, 379/48, -541/36, -1373/96, -1871/96, 2665/288, -617/12, 2717/96, 
  -71/18, -32/9, 193/24, 799/72, 355/72, -827/72, -235/32, 299/36, -305/18, 
  -653/72, 1175/72, 7415/288, -5/9, 13/4, -37/18, 109/48, -121/36, 737/144, 
  1505/96, 3133/288, -465/32, 3179/36, 0, -25, -5221/144, 17237/96, 605/2, 
  -25/72, -25/9, -1/6, -209/72, 2093/144, 5/48, 533/36, -29/36, -2741/72, 
  -449/144, 6659/144, 3479/144, 259/24, 821/288, -1061/144, -211/48, 
  134753/864, -7/2, -60107/1728, 5/4, -1717/9, 61835/1728, -82139/1728, 
  -507/32, -9/4, 47111/1728, -4, 11381/64, 0, 202997/864, -10223/48, 
  82139/1728, 4085/96, 677831/1728, -122633/1728, -36811/3456, 215/24, 
  2477/288, -653/144, -997/72, 20431/144, 134507/432, 209/36, -9/4, 
  -22079/144, 11/2, -151501/432, 0, -5/12, 5/12, -1, -1/9, -1/4, 0, -1063/96, 
  91/32, -29/18, 2489/96, -727/36, -5927/96, 117395/288, 1063/96, -91/32, 
  -1129/48, -1553/24, 0, -1553/24, -2851/96, 99/32, -133139/864, 1553/24, 
  61655/288, 352213/864, -1559/24, -61655/288, 3329/144, 37541/144, 2851/96, 
  -629/9, -889/96, 77231/864, -3329/144, 22589/72, -22081/72, -204449/432, 
  -22589/72, -2851/48, -1483/48, -308713/864, -5783/72, -69653/48, 9385/36, 
  -190283/864, 18797/288, 4884703/3456, 2515877/3456, -6136423/13824, 
  728267/1728, 249739/1728, -406961/6912, 100447/216, -65800171/41472, 
  11144305/13824, 174525515/41472, 15719225/4608, 18797/288, 2455019/1728, 
  2567195/3456, 43135847/20736, 747023/1728, 249739/1728, 272101/6912, 
  72379/864, -406961/6912, 1542505/3456, -445933/4608, 13085317/10368, 
  173095733/41472, 79620155/41472, 25619/1152, 496079/1536, -12577/64, 
  -2851/64, -47082539/41472, -113/16, -15121/72, -16169/384, 20192077/20736, 
  -33875/64, -898065/512, -59743895/41472, 29/18, -1667/32, -11965/288, 
  11/16, -717/32, 13381/288, 38483/54, -40991/216, 601343/3456, 
  -3518093/6912, -5911/108, 4027139/1152, -11702635/6912, -61835365/13824, 
  79531957/13824, 11281/288, -9870137/3456, -40483/864, 612941/864, 
  110029/864, 188549/864, -1837/72, 22065323/3456, -37335413/6912, 
  -3023677/3456, -16545985/4608, 17208791/1536, 11281/288, -4817245/1728, 
  10712435/3456, 79651/108, 78041/432, 188549/864, 299207/1728, 256649/864, 
  -1837/72, 10922155/1728, -1654689/128, -1207585/432, -50865571/13824, 
  214320605/13824, -11693/288, 2625487/1728, -3331/9, -9017/288, 
  -7160225/6912, -569/8, -226079/864, 8711/288, -29734951/6912, 40415/96, 
  20686807/6912, 692769/256, -3821/18, -17299/144, -2987/288, -63311/27, 
  5719/216, -418393/216, 1/2, -234031/432, 234031/432, -1427999/2304, 
  1427999/2304, 0, -11/8, -7/8, -468197/864, -4669/384, -1427711/2304, 
  -2359/32, 1336091/2304, -724403/864, 8859859/6912, 189167/216, 
  -14621621/13824, -21494245/13824, 162161/576, 6936407/3456, -6605285/3456, 
  -19201873/13824, 16284295/6912, 41774699/13824, 29544529/13824, 77/8, 
  2079/32, 221/18, -559/12, 128987/6912, -355/3, -636779/6912, 229/24, 
  1179/32, 7/8, -4929631/3456, -3491/144, 7135/96, 4921399/6912, 
  -2055481/6912, 687431/864, -1510049/1152, -143639/216, 1775029/4608, 
  1461107/3456, -178057/6912, -15825235/13824, 908999/768, 2742809/1536, 
  -203207/6912, -27555055/13824, -349193/1536, -35/24, -5060683/13824, 
  -39853/216, 1087/48, -539807/4608, -3803/24, 5071051/13824, 10358707/13824, 
  9175/4608, -883499/1536, 5061259/13824, -89815/288, -62941/36, 
  -570019/13824, -414845/288, 37, -189391/864, -47/18, -945/16, 
  4012979/13824, -42, -938923/13824, 31/6, 203641/432, -3, -8109779/6912, 
  77/36, 4347/64, 56587/64, -32801/144, 0, -7931/64, 32801/144, 7931/64, 
  468287/576, 26311/48, 1427519/1536, -6649/144, -168989/288, 6559/144, 
  -1108603/10368, 169277/288, 1110547/10368, -1, -378529/1152, 0, 
  378529/1152, 22523/192, 1036957/3456, 736631/1296, 846061/576, 
  -1179187/3456, -67/36, -5460635/10368, 82601/144, 1233047/1728, 145213/384, 
  3610151/3456, 464983/288, 14863079/13824, 1406071/768, 4363/64, 366631/384, 
  877087/864, 56587/64, -861809/1728, 2437/96, -5785937/3456, 861809/1728, 
  2277589/3456, -1427711/4608, 468287/576, 3953567/4608, 1427519/1536, 
  -12797/576, -4271917/5184, -168677/576, 5537/576, 5065835/10368, 
  169253/576, 1153501/3456, -7/6, 350539/1152, 3/2, 391147/576, -3/4, 
  -1351/144, 636893/3456, -226739/6912, -1461761/3456, -1409639/4608, 
  2772275/13824, -942323/3456, -2539759/6912, -3/16, 0, 942323/3456, 
  5533171/6912, -249451/576, 942323/3456, 15713249/13824, -3/16, 
  -5540185/4608, -3544577/4608, -293/18, 2561413/6912, 128207/864, 565/36, 
  -422225/864, -127559/864, 273281/2304, 293/18, -4541777/3456, -127397/864, 
  329725/432, 2173567/2304, 14039/288, 169367/288, -15575/288, -169781/288, 
  -9/8, -14039/288, 155651/384, -170351/288, -2617655/5184, -389731/1152, 
  299/144, -71867/27, -1064407/2304, 3289/144, 2035681/2304, -24433/108, 
  433387/864, 20934497/6912, 1655/12, -918169/1728, 10788533/3456, 
  -56628547/13824, -9330479/6912, -7994993/2592, 59840059/13824, -113/36, 
  -913829/432, -699581/768, -1115/96, 2735117/2304, -722375/864, 
  1733053/1728, 53864321/20736, -20465357/10368, -2140073/1728, 3376313/1152, 
  -40405439/13824, -15922151/6912, -23852293/6912, 18827429/4608, 299/72, 
  -56341931/10368, -1468319/1152, 1403/36, 19304185/5184, -24487/54, 
  994871/864, 22970525/3456, -17484425/10368, -563957/432, 64489277/10368, 
  -48098215/6912, -4403597/1152, -9638581/1296, 912175/108, 13829/144, 
  -400/9, 21403/18, -13955/144, 523/4, -171863/144, -6475/72, -14117/144, 
  60523/96, -85447/72, -352867/576, -384451/576, -25659/512, -905/256, 
  -17/32, -10513/1536, -941/128, 789/32, -2027/384, 19483/1536, -70463/3072, 
  2445/128, -12883/3072, -869/768, 1001/96, -77/24, 6205/288, -187/24, 
  431/144, 3, 169/4, 14329/288, -71/72, -5407/96, -237/16, 14071/96, 
  -929/144, -10747/144, 4423/288, -1079/48, -1039/48, 229/16, -7/2, 
  -5083/288, -239/36, 753/32, -463/8, -19529/96, -547/18, 10955/36, 1387/32, 
  -3109/92, -59/48, -8807/276, -296113/4968, -46259/1242, -49/432, 
  61069/3312, 59153/6624, 6679/184, 1445/144, 115645/4968, 523/108, -265/12, 
  -74059/3312, -19/4, 19713/368, 103/8, 429/16, 3/4, -127/8, -401/16, 3, -57, 
  -341/8, 513/16, 367/8, -271/16, 0, 3/4, 271/16, -1/2, 31/48, 5/4, 41/48, 
  -397/24, -1109/24, 445/48, 293/6, -47/6, -243/16, 103/48, 2609/48, -3/4, 
  43/72, 37/72, -71/72, -4/3, -2/9, -13/8, -7/3, 19/18, 137/72, -31/36, 3/4, 
  77/72, -89/72, 15/4, -7/8, 5/12, 11/12, -2/9, 1/2, -47/36, -7/6, 179/72, 
  155/36, 5/18, -67/72, 0, -5/18, 219/32, 299677/1728, 1/2, -102767/864, 
  -409355/1728, 5353/96, 2059/48, 1226833/1728, 299381/3456, 87991/144, 
  -838741/3456, -464839/864, 6529/192, -1283425/1152, -503221/3456, -3163/96, 
  239/36, 230239/1152, -661/576, 93691/432, -1550467/3456, -227105/864, 
  1270301/3456, 1257271/2304, 149863/432, -1919087/6912, 308681/3456, 
  880855/3456, 9083/128, 32365/72, 883885/6912, 299/96, 179/18, -55/18, 
  -37/16, -623/72, 1021/288, -251/32, 6139/576, 113/72, 1441/144, -547/64, 
  -1255/288, 2987/192, 1967/288, 5605/576, -97/8, 553/144, -421/192, 61/18, 
  -26/9, -8969/576, -151/48, -2623/192, 46429/288, 30671/576, -70747/576, 
  1345/48, 18511/144, 3/4, -29953/192, 377/144, 3209/288, 1109/288, 
  132881/864, -521/144, -131969/864, 0, -169/24, -1109/288, -425/144, 
  485/144, 130589/864, 1/4, 0, -97/72, -1/4, 673/144, -63685/216, -15/4, 
  -130901/864, -799/108, 19/72, 32645/288, 75035/576, 140197/864, -3395/24, 
  63685/216, 8909/576, 18007/96, -274987/864, 0, 0, 632567/1728, 
  -394427/1728, 1/18, -630767/1728, 7/9, -3/4, -11600/27, -199/36, -91/16, 0, 
  1/4, 513473/864, 241/36, -7/9, 0, 0, 851/144, 0, -1/12, 4667/72, 3373/9, 0, 
  -1977/32, 13/12, 0, 5/18, 0, 1/12, -7/18, -117467/288, -5/18, -13/36, 
  -5/18, 0, 0, 5/18, -69/16, 133213/3456, 236137/13824, -11375/1152, 
  616355/4608, 102199/576, 2033/192, 11967709/13824, -2851/192, 
  13174253/13824, 113/96, -2027/27, -25385/432, -19691/288, -1757753/1152, 
  -17876573/10368, -2606327/3456, 4603153/4608, -722363/1728, -419171/3456, 
  2256881/512, -326373/512, 103979/1152, -491815/1152, 11692129/20736, 
  -2400545/1728, -34830469/13824, -26548841/13824, -175/24, -10174691/3456, 
  -192143/1728, -5429/144, 1460201/864, -7145/96, 1871/18, 426541/128, -29/9, 
  -241903/576, 43/96, 38711/192, 7823/288, 175/24, 20463151/3456, 
  -11919755/2304, 1969/72, -12783895/3456, 15293/144, -18835/192, 
  -2970995/432, 244243/576, -3911/36, -2572115/864, 12306425/1152, 
  6678971/3456, 11977195/3456, -37310713/6912, 7649/96, 14529737/13824, 
  -782137/6912, 697733/864, -15549191/13824, -273253/432, -3865/48, 
  -558175/512, -1922867/2304, -672617/864, 772865/864, 225025/432, 
  16645/3456, 2340665/3456, 545069/4608, 74977/288, -1109/24, -4540393/13824, 
  27440555/13824, -629417/864, 4413341/3456, 18163/27, -1585367/1536, 
  -12103147/4608, -994267/864, 2255051/1152, -845957/1728, -384747/256, 
  1354477/2304, -3903595/6912, 1094075/4608, 13847/288, 467105/2592, 
  61573/324, 14125/24, -152245/288, -167/144, -259/32, 599441/2592, -4973/64, 
  17/288, 154397/288, 167/144, 1787/192, -550603/5184, -269/36, -49/8, -3/4, 
  122363/384, 304897/864, 29/72, 467477/432, -167/72, -2815/192, 
  -509471/1728, -233881/432, -1697/96, -29/36, 1427711/1152, 1/2, 
  -475381/768, 0, -1/36, 41/72, -53/36, -167/72, 0, 5/18, 0, -41/72, 5/8, 
  167/72, -1/4, -1/4, 61/72, 1/4, 0, -1/2, 0, -41/72, 71/36, 167/72, 5/18, 
  19/36, 25/72, -5/18, 19/36, 0, -1/2, -19/36, 4187/96, 353351/576, 
  -221525/576, 19519/32, 22675/288, -829/72, 59/24, -29630753/10368, 
  -18468973/20736, -239/72, 4667087/6912, -46487/216, 29233/192, 
  69981709/20736, 457399/1728, -37937/576, -14063/288, 511327/3456, 
  3651989/3456, -56729/96, -240715/384, -167/72, 16743133/5184, 
  -184279363/41472, -6475633/6912, -80485765/20736, -43371/128, -839443/3456, 
  1/2, 66368885/13824, -2363/96, -110561/4608, 571/3072, 61735/2304, 
  426889/18432, -68023/6144, 1079/24, 224885/4608, -27433/2048, -2327/48, 
  -176539/3072, 271/96, -92717/768, -241343/2048, 104429/4608, 9757/96, 
  75755/1152, 706859/576, 229273/9216, 1241509/1728, -49108571/55296, 
  -188551/1728, 975175/3456, -85845263/55296, -993493/3456, -23125/64, 
  224923/432, 36095593/13824, 3174379/6912, -10026977/13824, 10504511/13824, 
  5891/288, 35563/144, -31685/1728, 899/24, -113207/432, -17795/288, 
  -7429/144, -33349/288, 8417/432, -16759/288, 230461/1728, 685/8, 1395/16, 
  68917/864, 247741/1728, -57337/864, -1579/36, 223303/864, 118715/576, 
  -3059/32, -18451/1728, -385/18, -6745/108, -60397/192, 94921/1728, 3649/36, 
  -126095/432, -29489/1728, -165881/432, -284275/864, -511693/864, -847/288, 
  776323/9936, 1432373/39744, 28999/864, -273893/6624, -5711/216, -289/36, 
  -537065/6624, -124301/13248, -11785/288, 1740991/39744, 2891/108, -625/138, 
  679951/19872, 848701/19872, -18874/621, -1523/15, -590293417/198720, 
  -444812807/794880, -6195629/4320, 397835543/264960, 28069/432, 
  240468271/397440, 2549270623/794880, 503373551/794880, -131345309/198720, 
  -11209063/39744, -1225768291/317952, -2314141/6912, 154756723/105984, 
  -10211245/13824, -11/24, -2965/16, 1061/96, -4001/96, 19579/96, 1605/32, 
  163/48, 30073/192, 15719/576, 1719/32, -16121/72, -1717/32, 367/32, -209/8, 
  2993/288, -9917/576, -185/96, 70709/288, -2881/192, 6899/288, -276973/576, 
  -4165/144, 941/144, 6217/144, -71785/576, 107/192, -4691/64, -5141/48, 
  13409/64, 303/32, 0, -43/6, 39397/144, 33179/216, -13103/48, -689/144, 
  137/24, -67085/48, -31883/432, 15233/54, 236713/432, -69/8, 13763/16, 
  -33197/144, -117967/864, -376523/864, -5/2, 61/4, 342761/864, 113911/288, 
  6353/48, -5/2, -26597/144, -2, 1741/72, 1, -1/4, 542021/288, 1/12, 
  545339/864, 343/24, 109423/2304, 37/12, -5430151/6912, 2663/18, 237/16, 
  -11293/72, 11/4, -19/2, 14, 2059/16, -35861/432, -27249/64, -38803/288, 
  -3/2, -2115/16, 34457/432, 72151/192, 1855/16, -127085/864, 775517/1728, 
  -660109/1152, -1, -334945/864, -11/2, 115253/432, 101/108, -5580233/7776, 
  -4301345/15552, 3725501/5184, 3555053/7776, -2417/216, 8171881/7776, 
  1769609/7776, -156715/5184, -2862313/7776, 41/8, 136249/144, 134/3, 
  -447139/576, 1442089/2592, -1427/72, -229649/864, 1791955/2592, -1427/72, 
  188525/5184, 10429/96, 2445671/2592, -3037/288, 18955/384, -8513/576, 
  62339/864, -20233/192, 861/64, 185569/3456, 49/16, 81707/432, -2363/96, 
  106147/576, -85589/1728, -16071337/13248, 613/16, -70794443/29808, 22, 3, 
  -8, -407/8, -2, 271/32, -417643/1296, -1271135/5184, -6209/96, 230047/1296, 
  147/8, 758929/1728, 51/4, -2197829/5184, 309131/5184, 2086447/1152, 
  -132037/1152, -11573/72, -3/4, -5/2, 4469/54, 7388393/1728, 
  -63894587/99360, -30653563/33120, -27282131/99360, 17/20, -8639969/66240, 
  5/4, -3381295/19872, 1, 5/4, 3/4, -3/4, -3/4, -1/2, -138923/108, 15/4, 
  139301/108, -883/8, -1321/24, 750389/6912, 646939/3456, -411703/864, 
  4892401/6912, 249769/864, 124591/384, -10494109/6912, 1630921/6912, 
  212063/1728, -4780285/6912, -3179779/6912, 28303/64, 851651/432, 
  3502045/6912, -6667/72, -944605/10368, 157283/2592, -168781/144, 
  290243/384, 1/36, 553091/1152, 7307/24, -198295/288, -799433/1152, 
  -398537/576, -3035099/3456, -116773/72, -680143/6912, -1427807/768, 346/9, 
  418387/1728, 2221/192, 216527/432, -176281/576, -15859/36, 481579/1728, 
  80315/576, 231311/1728, -81227/384, -2039/144, 73889/32, 4173973/6912, 
  -3887/144, -8564431/6912, -169775/432, -10353997/3456, 47733451/13824, 
  14310929/6912, -53792519/13824, 89/12, -4752239/6912, -65818297/62208, 
  25517/192, -15133081/31104, -298361/288, -7615/32, 4462841/3456, 
  -15743707/10368, -517367/576, 1452253/2304, 66042763/20736, -1898557/7776, 
  -18379385/2304, -25619731/31104, 19337/144, 2475989/1728, 746159/864, 
  447845/1728, 3850783/2304, -195715/1152, 1620937/1728, 6386437/1728, 
  3906959/768, 8138945/1728, 17581/288, -2846641/1728, -5584003/2304, 
  645731/864, -306359/6912, 86527/108, 423095/3456, -1308713/6912, 
  -240241/6912, -653687/1728, 18289847/3456, 60251053/6912, -1296091/1296, 
  -60303515/13824, -6486235/13824, -89177/576, -20321635/6912, 
  17730745/20736, -2437589/1728, -3572303/9216, -6007453/6912, -763847/6912, 
  47740153/82944, -33285139/41472, 594383/3456, -2831363/3456, 
  10287739/13824, -37891811/20736, -71175421/10368, -52222921/13824, 
  12727/144, 69743/384, 11546533/6912, 2358827/1728, 9527431/6912, 
  -254407/864, 780557/1728, 664175/2592, -5937127/10368, 69353/576, 
  1265363/192, -107083279/10368, 14536453/20736, 45034331/6912, 16187599/864, 
  563/72, -68555/576, -2788045/6912, -172361/864, 3227723/4608, 221957/864, 
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  27160009/13824, 29260745/13824, -18411361/13824, 13034863/6912, 122873/480, 
  16146012073/2384640, 12191251/1242, 23799557/8640, -846939659/103680, 
  1170319/720, -1808557471/794880, -2466560399/149040, 14071329083/2384640, 
  34739671/9936, 7531689811/2384640, -18684007103/953856, 2268427447/397440, 
  26260334429/1192320, 84294029/2592, 20155/144, -5188675/1152, 2308645/1728, 
  520561/288, 21390329/6912, -24487/54, 247135/5184, 9460531/3456, 
  -7313747/6912, -23045/3456, 37398655/5184, -126778295/13824, -9465755/3456, 
  -216764201/41472, 33473165/3456, -2065411/3456, 289415/1152, 4171951/13824, 
  1002067/1536, -1562351/3456, 527831/3456, -542123/6912, -76361/768, 
  -97289/864, -102065/4608, 8310433/49680, 53154857/1430784, 
  1921494637/3576960, -995263043/2384640, -582083/31104, -5243/288, 
  -1586249/6912, -724819/1728, -18907/20736, 2259617/5184}}
