{{1, 1, -1, -3, -3, 3, 2, 2, -2, 5, -4/3, 7/3, -3, -2/3, -1, 1, -5/6, -1, 
  -2/3, -1, 1, -5/6, -1, 2, 0, 8/3, -14/3, 0, 1, -1, 4, -5, 0, 8, 0, -2/9, 
  -31/36, -3/2, 4/9, 2/9, -4/9, 1/9, -4/9, 4/9, 19/12, 2/9, -11/24, 85/36, 
  9/2, -37/36, -5/3, 3/4, 47/72, 35/12, 1/3, -3/4, -1/3, -1/2, 1, 1/2, -1/2, 
  5/36, -121/72, 1/3, -47/36, 1/2, -10/9, 67/18, 7/9, 4/9, 0, -4/9, 1/2, 
  -1/2, 5/36, -121/72, 1/3, 2, 25/36, 3/2, 2, -10/9, -7/2, 2/9, 7/9, 4/9, 
  -3/2, -4/9, -1/4, 0, -1/9, -1/8, 7/4, -1/8, 79/36, 2, -91/36, 0, -31/9, 
  -23/8, -3/4, 263/72, 271/36, -1/9, 0, 3/4, 1/9, -2, -1/2, 1/2, -5/4, 3/2, 
  1/8, 5/6, -1/2, -1/3, 0, 4/27, -23/72, 125/72, -2/9, 4/9, 7/72, 1/18, 
  37/54, -85/216, -1961/432, 7571/1728, -4/27, 3/4, -85/108, 31/27, -1, 1/4, 
  209/216, 809/432, -1483/864, -7/12, -11/8, 23/48, 23/8, 2/3, -7/4, -335/72, 
  -85/108, -37/54, 19/27, -1, 1/4, 2447/384, 209/216, 43/24, -1655/1152, 
  809/432, -1205/576, 1, -1483/864, -7/12, 1291/144, 13/18, -41/24, 143/72, 
  -14617/1152, -85/36, 217/96, 23/24, 307/128, -181/192, -23/6, 35/144, 
  31/18, -5/8, -275/72, 1967/288, -43/72, -985/288, -1181/288, 29/144, -2/3, 
  -1/8, 4/9, 2/3, 8/27, -5/4, -7/6, 157/108, -497/72, 611/144, -59/72, 
  395/72, -59/8, -2/3, 27/8, 169/36, -29/96, 37/54, -10/27, 17/24, -8/27, 
  35/24, -17/32, -13/8, -2491/384, 11/96, -85/216, -35/48, 355/96, 47/48, 
  713/1152, -1961/432, 815/576, 3/2, 7571/1728, 151/144, -25/144, 0, 13/18, 
  -299/72, -31/12, -53/24, 1001/144, 139/36, -2797/1152, 77/288, -239/72, 
  413/72, 10/3, -613/384, 403/192, -215/48, -119/96, 0, 17/8, -1385/144, 
  -277/36, 725/96, 3/8, -547/96, -133/32, -67/144, 2/3, 17/8, 4/9, 2/3, -7/9, 
  23/18, -1, 1/2, -7/9, -235/108, 625/72, -131/192, 23/18, -19/108, -1, 
  -391/288, 1/2, 55/576, -1075/216, -633/64, 11/48, -4/27, -349/72, -371/192, 
  7789/576, 1493/576, 8641/864, -923/576, 3/4, 169/108, -1, 1, -1/4, 
  -263/108, 35/12, -341/72, 1621/144, -71/48, -1127/144, 40/9, -511/72, 9/8, 
  -923/72, 34/3, 1037/96, 163/24, -7/8, -19/2, 421/216, 5/36, 0, 1/6, 
  223/108, -17/27, 5/24, -28109/3456, -13/72, 0, -377/72, -2/27, -3757/3456, 
  -29/216, 12271/1728, -17/24, 6061/864, -283/384, -839/1152, -629/432, 3/8, 
  -211/72, -3/4, 121/72, 45229/3456, 1345/216, -7/144, -25147/1728, 
  -10147/864, -1111/432, 2651/1152, 937/216, 53/54, 97/72, -91/144, 
  1801/1152, -535/108, 263/144, 14/3, 863/384, 1001/144, -2779/576, 
  -1597/288, -199/96, -107/72, 961/2304, -2/3, 799/2304, -79/48, 1589/768, 
  17/6, 3043/576, -961/2304, -1/3, -1589/768, 1/3, -31/108, -7/18, 23/36, 
  -1/2, 1/4, 145/432, 4069/864, -4267/576, 7321/3456, 31/108, -101/48, 41/36, 
  35/144, 3/16, -523/432, 5059/864, 25/96, -3791/576, 3/4, 2699/1728, 7/9, 
  -677/432, -149/128, -1655/1152, -31/32, -5477/864, 10453/6912, 6599/576, 
  -34729/6912, -469/288, -4265/2304, -3065/2304, 4327/2304, -2341/768, 
  7409/2304, 2803/576, 319/2304, -3/4, -2975/2304, 1/3, -31/108, 283/216, 
  209/48, -29/96, -7/18, -5/18, 173/216, 23/36, -119/54, -961/3456, -1/2, 
  -2261/3456, -569/2304, 1/4, 151/2304, -39461/3456, -6961/1152, 11/96, 
  145/432, -1577/216, -16145/3456, 2/9, -273/128, -10501/6912, 2371/6912, 
  46241/3456, 449/1152, 4069/864, 34339/3456, 8135/3456, 15677/3456, 
  -713/576, -4267/576, -4237/3456, -9/8, 7321/3456, 31/108, 67/27, -1255/288, 
  1481/2304, -53/48, -31/12, 2399/2304, -37/24, 4313/768, 3313/576, 179/144, 
  1007/512, -1/16, -523/432, -4739/1152, 8537/1152, -217/4608, -145/96, 
  299/108, -19339/13824, 85/36, -115279/13824, -583/144, 25/96, 2221/432, 
  -529/144, 17723/1728, 83/54, 251/864, 3/4, -1175/384, -4355/576, 7/9, 
  -325/144, 39/16, 5585/4608, 1475/1152, -5351/1152, -275/576, -943/144, 
  -181/96, 9/32, 37/48, -1001/288, 1139/2304, -51515/6912, 86347/13824, 
  7651/1152, 43/48, 1445/1152, 31007/6912, 1261/576, -1393/2304, -3185/4608, 
  1/6, 5143/2304, 101/384, -7/32, -2951/2304, -6431/4608, -6847/2304, -5/18, 
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  -871/3072, 15/1024, -97/24, -17327/13824, 159/1024, 1/27, 2539/4608, 1/12, 
  491/432, -7097/3456, 2573/3072, -1193/192, 4663/1152, -1339/1536, 625/768, 
  -74051/27648, 8725/13824, -2275/192, 5015/3456, 0, -2/9, -163/384, 
  -253351/27648, -54371/13824, 24361/1728, 1/6, 2717/384, -1207/1152, 9/8, 
  7/18, 3/4, -6541/2304, -1481/3072, -23/36, -39965/6912, -287/2304, 
  763/1536, 1/2, 14315/1536, 30121/9216, -1/4, -1811/768, 139/432, 
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  25663/27648, -1123/2304, 10565/1728, -24805/3456, 2621/864, -13421/3456, 
  -1507/432, 29567/4608, -3263/3072, 3337/1152, -73487/9216, 4789/3072, 
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  195995/13824, 683/768, -5081/1728, 125983/27648, -149/432, 3727/1728, 
  -1057/192, 40195/9216, 553/288, -6457/2304, -9/32, 56875/6912, -8885/3072, 
  -2843/768, -34825/6912, -1811/768, 7/32, 2587/768, -31/216, 23/288, 0, 
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  5/1024, -97/48, -18799/27648, 31/128, 1/54, 2731/9216, 1/24, 103/96, 
  -79/288, 0, 419/432, -5351/1152, 10397/9216, -14137/3456, 54973/27648, 
  -4859/4608, 5795/13824, -27479/27648, 8971/27648, -23291/3456, 41/288, 
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  11911/1728, -11/96, 10139/1728, 3355/1728, 1829/576, -713/1152, -721/3456, 
  31/108, 631/864, -395/2304, 0, 7/36, -253/216, -1013/576, -6173/9216, 0, 
  -23/72, -1061/1536, 3217/1536, 1513/1536, 1/4, 131875/27648, 1061/1152, 
  -1/8, -545/512, 47/216, -14309/3456, 2677/4608, 0, 59/216, -2483/864, 
  68249/13824, 24173/9216, -107/48, 210035/27648, 58133/27648, 1849/2304, 
  -116129/27648, -1097/4608, 73/216, 24719/3456, -307/1536, -1739/288, 
  481/108, 28057/27648, 125/864, -323/288, -1123/4608, 203/288, -1127/288, 
  6043/576, -101/144, 4951/1728, -37/32, -7025/1728, -31/216, -1675/864, 
  121/1536, 0, -35/36, 13115/4608, -8345/9216, 0, 4537/2304, -3743/576, 
  2173/1024, -1891/1536, 5131/1152, 25/96, 17453/3456, 17/768, 0, 373/144, 
  -227479/27648, 20063/4608, -22795/4608, 323053/27648, 1211/1536, 4055/1728, 
  -12355/1728, 6569/4608, -409/144, 10283/27648, -581/256, -125/32, 
  4357/1152, 2927/1152, 37/64, 325/288, -161/768, 1/6, -5257/2304, 
  21091/9216, -1/6, 1417/576, -417/128, 379/288, -1171/1536, -1/2, 
  10073/2304, -67879/9216, -3587/2304, -1583/1152, -8561/4608, -899/576, 
  -1025/384, 1393/4608, 0, -43/72, 1/6, 115/144, 2/3, 119/144, 4895/4608, 
  -1/6, -1/2, 8/9, 1/9, -7/9, -1, -35/9, 1, -8/9, 7/18, -7/9, 7/9, 1, -1, -1, 
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  27/4, 157/36, -19/3, 5/18, 0, -19/36, 1/3, 0, -1/3, -1, 2, -1, -1, 1, 
  -13/3, 23/6, 11/9, -11/9, 713/54, -6263/432, -89/54, 35/9, -73/18, -16/9, 
  5/18, -821/54, 5831/432, 143/54, -1, 1, 2, -1, -1, -1, 1, 1, -3547/72, 
  10129/192, 1729/576, 2807/72, -62413/1728, -14447/1728, -16/9, 163/36, 0, 
  -8/3, -23/6, 14/3, 23/6, 0, 0, 0, 0, 0, 77/18, -1/7, 32/7, 0, 1432/9, 
  -1369/36, 77/18, 0, -1/7, 32/7, 6541/108, -329/24, -106, -106, 0, 481/27, 
  8465/108, -329/24, 310/3, 0, -355/27, -2/3, 0, 13/6, 4/3, 0, -4/3, 4/3, 
  9/4, -19/3, 10/3, -9/4, -47/6, -11/12, 0, 61/36, -49/12, 103/24, -245/72, 
  49/12, 0, 44/3, -145/24, -127/12, 6539/432, -22571/864, 3025/864, 
  -6547/108, 2635/32, -24109/1728, -1/6, 0, 1/2, 5/4, -19/12, -3/4, -4/9, 0, 
  -5/4, 4/9, -65633/432, 29173/144, -36005/864, 899/36, -3419/144, 
  82321/10080, -533/144, -59/72, -12/7, 407/504, 8/21, -3547/72, 4/3, 
  -5887/480, -707/9, -3727/480, 2, 10129/192, 13/6, 1153/72, 1729/576, 4/9, 
  5887/480, -2, -4/9, -713/18, 2045/48, -17/2, -2/3, 5647/720, -271/108, 
  553/432, -29/216, 143/24, 2807/72, 170/3, 0, 502/9, -18323/288, -2, 
  -62413/1728, -299/27, -757/54, -14447/1728, -470/9, 0, 2, 223/54, 0, 
  821/18, -17311/432, -4775/144, -40975/864, -115/9, -14/3, 22067/432, 
  7001/36, -215003/864, 23299/864, -4061/216, 187/6, -343/216, 3, -2/9, 
  -17/18, -6539/432, -22571/864, -3889/864, -23/9, -53/9, 0, 5273/216, 
  -6539/432, 6539/432, -937/288, -35765/864, 22571/864, 175/24, 661/288, 
  -119/288, 25/9, 62/9, 15/8, -62/9, -6553/108, -43/36, 5/4, 23531/288, 
  35/18, -22909/1728, 5/4, -5/4, -5/4, -8705/54, 3875/18, -32983/864, 
  1855/288, -239/576, 25/16, -9433/1440, 0, 0, -77/18, 9433/1440, 
  -64591/10080, -32/7, -713/27, -1257/160, 0, 1, -1, -10381/216, 101/36, 
  -13/2, 1741/216, 1051/480, 1, 2429/96, 0, -821/27, 36203/864, -8029/216, 
  136751/864, 2465/216, 17/3, 29/3, -138647/864, -4/3, -4/3, 4/3, 25/48, 
  -8/3, -4/3, -4/3, 5123/324, 0, 21167/1296, 25/48, -19817/1296, -19817/1296, 
  821/27, 42421/864, -16879/432, -10435/162, -1, 8029/216, -121/27, 
  -48319/864, -2713/108, -47317/864, 93605/1296, 10597/162, 34181/288, 
  -93605/1296, 5/54, -5/2, -77/12, -37/36, 203/18, 7/4, -5/18, 19/36, -2/3, 
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  -341/672, -287/192, -1/96, -2/21, 5/672, 2/21, 1/4, -371/48, 16871/1728, 
  -2437/864, 509/288, -4/3, -17/18, 1/3, -167/16, -181/864, -19/108, 7/32, 
  4525/864, 119/36, 23/36, -8/9, -293/24, 1685/96, 551/288, 2057/216, 55/8, 
  -1375/96, -8/3, 3617/864, -215/72, -4/3, -1/6, -4/9, 379/108, 1879/216, 
  5227/864, 139/27, -12361/864, -1201/216, -533/216, 20/27, -5435/216, 
  -9823/864, -1595/72, 361/96, 143/36, 913/54, 4189/216, -8/9, -19/108, 
  3949/864, 337/96, 37/12, -65/36, -8/9, 8465/864, -36925/1728, 2063/144, 
  20161/1728, 41/864, -29/8, 4487/864, 21/16, -19/32, 353/72, 635/72, 
  -2531/72, -1163/72, -1445/1296, 105689/10368, -234961/10368, 159/32, 
  8317/324, -225733/5184, 72283/5184, 1225/2592, -30901/864, -41641/864, 
  14137/288, 2092265/20736, -5179/384, -49747/2592, -2029/54, 29/24, 
  31079/576, -7/3, -39445/3456, 23/36, 0, -103/72, 4/3, -7331/432, -659/108, 
  229/54, 67/36, 3757/288, -208177/120960, -135521/40320, -6535/864, 
  -331523/120960, 67/108, -515/144, -491/84, 75/28, 13339/4480, 463/84, 
  49069/40320, 1565/2016, -3/2, -1559/2016, -2/21, 163/24, -7049/216, 
  50399/1728, -889/1728, -13191/448, 10681/336, -61/7, 163/24, -3763/432, 
  -458/9, -7049/216, 1289/432, 92377/864, 50399/1728, 8509/1728, -2135/108, 
  -889/1728, -31/12, 20857/2880, 45037/1080, 9367/1152, -20827/3360, 
  208891/11520, -92873/2688, -19357/2880, -8/21, 255023/23040, 775699/20160, 
  -23/3, 7/3, -925/54, 3955/144, -2249/288, 5345/216, -254063/8640, 
  233249/30240, 4/3, -62281/4032, 2, -1/3, 1/3, 1/2, 271/432, -4889/1728, 
  1135/864, -29/216, -1829/864, 10849/1728, -29/864, 143/96, -2087/432, 
  16211/1728, 3911/576, -31/6, -2087/432, 30857/432, 3283/72, 16211/1728, 
  -156835/1728, -50791/864, 3911/576, -9365/864, -2149/576, -31/6, -5099/108, 
  -3953/192, 233159/3456, 2147/192, 41021/3456, -413/144, -25/12, 8/9, 7/3, 
  -44779/864, 3127/144, 16835/216, -2371/576, -33829/1728, -1463/144, 
  -467/216, -121/64, -9205/216, 4/3, 6073/162, -379/108, -239/54, -65/36, 
  -8/9, 4273/864, 0, 15589/864, -203/96, -17/6, -79/3, 17/6, -5/24, 
  -6017/864, -101/72, 4/9, -521/72, 5201/864, 104/9, 2381/144, 445/144, 
  337/72, -4/9, 19/4, -385/36, -16/9, 6521/864, 3179/288, -129437/2592, 
  34177/5184, 7765/288, -6473/144, 6539/144, 12631/864, 65501/1728, 
  32533/864, -51991/1152, 11269/144, -100421/3456, -127957/1728, 753/128, 
  37475/3456, -4981/864, -1789/432, 13739/864, -2161/54, -35953/432, 
  48695/3456, 17981/1728, 106729/1728, -9431/1152, -1031/576, -349/36, 
  42289/864, -103/12, -215/24, -1445/2592, 105689/20736, -79441/20736, 
  -161/64, -215/216, -301/144, 75/16, -43/144, -55/18, -7/16, -257/162, 
  53489/5184, 287/324, -4543/648, -573253/7776, -701383/20736, -233611/20736, 
  -689225/20736, 102353/576, 1523629/20736, -13435/648, -580487/7776, 
  -85867/10368, 276983/3888, -3319/1728, -7603/1728, 7168309/124416, 
  -142679/864, -17621/3456, -7110421/124416, 1932653/31104, -6767413/124416, 
  -83/144, 121/108, 8453509/124416, 911/432, 142721/1944, 426835/10368, 
  -11206433/124416, 146729/2592, 2208959/41472, 29257/864, 1693/432, 
  -25505/648, 5917/432, -23/72, -569/486, 31345/432, 784045/13824, 
  -5023/41472, 17/18, -551203/41472, 4191139/124416, 4252999/124416, 
  210269/5184, -192695/3888, -16137023/124416, -18383/108, 7114439/124416, 
  2355007/62208, 9928055/124416, 6094793/124416, 8698427/124416, 
  6546799/62208, 12757/144, -4485419/124416, 1693/432, -21935/216, -29/48, 
  -14435/216, 91987/1944, -1278221/7776, 24097/486, -118271/432, 
  -867667/7776, 39029/288, 11/48, 4390145/41472, -621175/124416, 
  -1162039/124416, -28199/1152, -183599/10368, -1019/27, 2651/576, 0, 
  -774371/15552, 1218541/13824, 5127221/124416, 30535/576, -2479/1152, 
  1515091/124416, -37045/3456, 91/36, 25/32, 8640107/124416, -221/72, 4/3, 
  1541/108, -65087/2592, 348227/41472, -15515/3456, -1706497/5832, 
  78422791/373248, 211973/2592, 8626553/10368, 418999/13824, -1903645/13824, 
  -973/144, 159247/20160, 0, -26573/1280, -4187/960, 2810231/80640, 877/8064, 
  5429003/161280, 0, -2724101/53760, -64/7, 96/7, -79/16, -163189/5760, 
  883/1280, 0, -407723/3240, 1559297/34560, -35/24, 14977/560, 1968257/80640, 
  869/320, 8189669/80640, -2647867/120960, -57993/1280, -3058339/80640, 
  -28694389/725760, 3681031/80640, 232847/10080, -1841963/161280, -5887/640, 
  96875/10752, 9478781/161280, -6013877/161280, 13001/3584, -1153/640, 
  -526609/32256, 88/21, 253/12, -8773/2880, 0, -314/3, -22753/1152, 79/12, 
  -1085/72, -475/36, -7015/288, 79/48, 99019/432, -40577/2240, -179/24, 
  167/36, -6067/108, -167/16, -533/12, 52/9, -5887/1920, 430163/17280, 
  12335/504, 160/9, 14815/288, 8401/560, 321179/5760, -361/96, -4267/2880, 
  56569/13440, 280943/11520, 32269/20160, -80/21, 11/9, 59849/2880, 
  10249/3840, 0, 127/54, 103/144, 89/288, -4493/216, -1213109/80640, 
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  161/288, 3449/1728, -7/12, 82045/20736, 191/432, 162845/10368, -1939/1728, 
  -15/16, -31835/20736, -755/864, -15/16, -191/432, 15/16, 107/216, 
  -105979/20736, 935/768, -3/8, 3/8, -935/768, 105979/20736, -107/216, 
  -71/144, 48301/10368, 959/256, 0, -4/27, -15185/2304, -9859/1296, 
  43541/2592, 1402/81, -14407/2304, -19177/864, -215/192, -7217/2592, 17/144, 
  4/27, 3091001/93312, -10277/2304, 871427/186624, -593741/46656, 1561/1728, 
  -179/256, 3/4, -761195/20736, -224747/10368, 185/864, -3/4, -107/216, 
  67891/20736, -13771/5184, 1079/576, -109651/10368, -431/576, 
  6215737/186624, 1015/1296, -724301/23328, -15809/10368, -281521/62208, 
  -515/864, -783493/41472, -1179/128, 31/288, -10771/5184, 561787/20736, 
  979255/31104, 29127031/373248, 393481/46656, 15311/6912, 24325/1536, 
  -24845/20736, -63727/4608, 33386201/373248, 6641171/124416, -829/1152, 
  -869/2592, 1184051/41472, -931/2304, -55/864, -107161/41472, -3409/1728, 0, 
  -1613/324, -41/1728, 3971197/46656, 1760111/41472, -618149/62208, 
  516923/41472, 104317/41472, -35/48, 3522701/93312, 1534727/41472, 
  11601145/373248, -101485/6912, 71261/10368, -3223505/93312, 164467/41472, 
  -21035/13824, -6785/1728, 0, 149965/41472, -139/144, 147509/10368, 
  52783/6912, 1565/1728, -46393/4608, -28081/4608, 109/144, 0, 203/864, 
  -205/144, 107/216, -57211/20736, 22847/6912, -17/72, 0, 107/216, 
  16969/1296, -107383/31104, 828407/31104, 17503/1296, -960893/93312, 
  8020829/186624, -88159/11664, 9066131/186624, 21811/864, -71/144, 
  -175/5184, 12491/6912, 17/72, -4/27, -269/288, 23023/2592, 
  -11276797/186624, -10051/1296, 20299/2592, -178807/2916, 1402/81, 
  -205945/6912, -19177/864, -215/192, -28459/20736, -1729/3456, 4/27, 
  -1205/6912, 6199529/93312, -10277/2304, 7172615/186624, -593741/46656, 
  1561/1728, 29/3456, 3/4, -185147/5184, -216971/10368, 185/864, -3/4, 
  -107/216, 86539/20736, 17041/5184, 23461/2592, 17/48, -110179/10368, 
  -34961/2592, -8653969/186624, -3119605/31104, 6064339/186624, 
  -4194847/93312, -34594817/186624, -1236311/62208, -552449/5184, -515/864, 
  -844903/41472, -174347/6912, -11995/2592, -14731/5184, -682283/20736, 
  85399/15552, 1310567/62208, 14060207/124416, 386417/5184, 15311/6912, 
  212263/13824, 35759/5184, -24473/1536, 25874279/373248, 6800105/124416, 
  -829/1152, 15409/10368, 1331543/41472, -931/2304, 35/72, 192167/41472, 
  -47803/5184, -25/24, -5353/5184, 2368039/46656, 3044521/62208, 96211/1152, 
  14936177/124416, 315185/41472, -46889/41472, 48187/5184, 9560821/186624, 
  38384039/373248, -2419757/41472, -21797/3456, 37867/20736, -8763979/186624, 
  -48365/41472, -244849/41472, 793/648, 11/16, -155389/41472, 55321/2304, 
  29705/2304, -7303/2592, 208381/41472, -289841/41472, 125/48, 0, -125/48, 
  -90607/10368, 225065/46656, -3004807/124416, 14695/1944, -2592163/62208, 
  3004807/124416, -754609/373248, 6876229/186624, 1195021/373248, 
  136477/10368, 2122925/93312, 0, 27809/10368, 1561667/46656, 
  -9597013/373248, 469681/93312, -92669/2304, -57133/373248, 2/27, 
  -442681/6912, 373/576, 2/27, -17683/1296, 2348261/93312, -3796109/186624, 
  88681/2592, -318793/20736, -3/8, -3/8, 100789/5184, 10227799/373248, 
  57340945/373248, 0, 715811/62208, 244177/1944, -6875075/46656, 
  2340127/373248, -17532835/124416, -940163/31104, 4/9, -17279/384, 
  -13905733/373248, -9632473/373248, -166097/10368, -23113015/373248, 
  1405547/41472, 962897/186624, 5660327/62208, 8585/7776, 899/432, 
  1572461/10368, 10583935/186624, -2233/5184, 18328933/124416, 
  11358949/186624, -4745/1152, -1801079/20736, 45839/20736, 245/1152, 
  -110971/10368, -3112555/46656, -42244561/186624, 1414963/31104, 
  -1523959/62208, -8261969/124416, 21001943/93312, -186557/31104, 
  27867349/373248, 32293/1296, 1451333/124416, 18970447/186624, 
  39524645/373248, 862157/11664, 4803949/124416, -263075/3456, 
  -3257947/124416, -6086315/124416, 79457/1296, 4290707/124416, 
  31928341/373248, -1410265/15552, -261227/13824, -38219881/373248, 29/96, 
  210725/93312, -5451379/93312, 878849/20736, -14433581/373248, 470473/41472, 
  1386775/31104, -29/32, -821041/41472, 29/48, -105979/20736, 935/768, -3/8, 
  -105979/20736, 200009/23328, -1044677/186624, 3/8, 1372867/186624, 
  -71803/5184, 12773/2916, -1610215/186624, 1938647/186624, 44117/6912, 
  49741/10368, 959/256, 0, 80599/20736, 367859/62208, 719401/186624, 
  -18883/20736, 769693/93312, 925625/93312, 141865/23328, 12509/10368, 
  -33581/6912, -6965/2592, 17/144, -39013/10368, -301349/93312, -11153/10368, 
  -788483/62208, -1740719/186624, -2155/2304, -34721/10368, -50047/20736, 
  106063/10368, -79933/20736, 1295/576, 106147/20736, -486839/373248, 
  429605/15552, -647/576, 1081093/124416, 1368361/46656, -1938593/93312, 
  16129/93312, -11512519/373248, -1050031/124416, 275/144, -634933/41472, 
  -28313/2304, 31/288, 2/27, -199813/13824, -247955/41472, -2956447/186624, 
  -25487/10368, -15079/23328, -8079205/186624, -5845/41472, -5092841/373248, 
  860383/124416, -14555/3456, 27331/4608, -24053/20736, -2/27, 2933/384, 
  3682829/373248, -143/512, 18316951/373248, 688631/20736, 6799/3456, 
  88837/20736, -3/8, 419381/41472, 212659/41472, 289/864, 3/8, -106315/20736, 
  224455/41472, -6613/1728, -7/864, -6939155/373248, -3664015/124416, 
  313/432, -4731587/373248, -431681/93312, 3842723/186624, 312893/124416, 
  1621429/124416, -1/108, 210127/10368, 57533/4608, 5/576, 31495/4608, 
  -953305/186624, 8726749/373248, -224561/373248, 638909/15552, -40705/20736, 
  89/864, -449417/41472, 90515/20736, -79675/41472, 2033207/186624, 
  -6741665/373248, 71/144, -230501/41472, -75643/10368, -169/288, 7/864, 
  -21409/5184, 2663/1728, 2112925/186624, -463379/373248, -529/1728, 
  -1282979/124416, -102073/20736, -183811/41472, 62017/41472, -277/432, 
  128725/46656, -1124671/373248, 406925/124416, 47285/20736, -152077/41472, 
  -2950295/186624, 29635/13824, 18731/13824, 2213/1728, 179681/20736, 95/288, 
  -41813/20736, -593/1728, -188513/20736, 27433/41472, -125/144, 125/144, 
  -23/18, 0, 1/36, 23/18, 0, -23/18, 25/18, -31/24, -31/18, 31/24, 5/4, 
  -17/12, 0, -26/3, -13/12, 5/24, 61/12, 11/6, 29/12, 73/24, 7/12, -47/24, 
  5/36, 0, 5/9, -5/12, -25/72, -2/9, 5/6, -29/24, 5/12, -5/6, -3/2, 1/4, 3/2, 
  -3/2, 3/2, -5/4, 5/4, 45871/2592, 50921/3888, -32113/1152, 69463/10368, 
  -59297/1944, 59465/3888, -38815/2592, 28049/1152, -68887/10368, 
  -59465/3888, -38815/2592, 5/2, 28049/1152, -5/24, -68887/10368, -17/6, 
  -29/24, 25/12, -59465/3888, -127/18, 29/9, 167/36, -979/72, 43711/1296, 
  -28241/576, 49087/5184, 127/24, -85/12, 123487/1944, 1/3, 0, 3, 9/16, 
  67/48, -13/24, -23/12, -2/3, 0, -67/48, -1/12, 0, 2837/216, 137/72, 
  -887/4536, -704/189, 137/72, -35/144, -137/72, -983/54, 22021/2268, 
  9199/432, 2813/216, 113/2592, 21809/10368, -57565/10368, -6943/2592, 
  -6943/2592, 86033/20736, 29585/20736, -55549/20736, -12061/20736, 
  -111377/20736, 29/24, 43741/20736, 0, -42833/10368, 85789/10368, -167/36, 
  421/72, -46543/1296, 73127/1296, 1555/162, 10177/864, -418/27, 323/432, 
  -49901/10368, -226591/10368, -899/96, 10177/864, 23/6, 32/9, 106/9, 611/48, 
  661/144, -418/27, -5/4, -40/9, 323/432, -71213/10368, -263/36, -925/144, 
  -208735/10368, -569/288, 40631/2592, -11/12, -41/24, -132251/5184, 29/24, 
  -48155/5184, 33253/1296, 16981/2592, 871/24, -62645/648, 24539/192, 
  -234617/10368, -185333/2592, 13853/144, -85543/5184, 8549/648, -1045/81, 
  -64649/3888, -185333/2592, -13/18, -16/9, -25/18, 493/48, 1975/144, 
  13853/144, 17/36, 35/36, -85543/5184, 8873/648, 14/9, -725/48, -2171/162, 
  -64649/3888, -132245/2592, 19493/288, -50641/5184, 15031/2592, 50479/5184, 
  -186133/3888, 3/2, -7/4, 1/4, 3/2, -3/2, 31/18, -24355/5184, 14183/11520, 
  -35/18, 351391/90720, 2/9, 19171/5184, -68561/80640, -133765/36288, -8/21, 
  31/18, -4483/5184, 3773/2304, 2/9, -2391/640, -1313/288, -35/18, 
  200191/90720, 19/36, 2/9, 7939/5184, -39755/16128, 1313/288, -55141/36288, 
  -8/21, -713/108, 7031/864, -40/27, 167/36, -47381/2880, -49/18, 179/36, 
  -1/2, 0, -49/18, -3/2, 0, -46/9, -1669/576, -125/288, 179/36, 1/4, 181/36, 
  -1/2, 41/18, 0, -223/288, -79/36, 29/24, 821/108, -491/648, 171139/7776, 
  -4103/864, 12937/1296, -197/108, -167/36, -26011/1944, 4219/288, 
  23941/1296, 384407/7776, 241247/7776, -115931/3888, 188987/10368, 
  1283629/31104, -624725/7776, -149207/15552, 7345/144, -226561/20736, 
  307825/20736, -4363/1728, -448481/20736, 362557/20736, 53/24, -6613/864, 
  11395/576, -12475/1728, 24155/648, -28555/576, 119915/10368, 
  -6609145/98496, 1783525/98496, -269563/7776, 3/2, -3/2, -7/4, 1/4, 1/4, 
  3/2, -3/2, -3/2, 2179/288, -174647/10368, 672557/72576, 11/28, -8/21, 
  8569/288, 676409/25920, -9884153/492480, -205633/5184, -162013/90720, 
  -2474519/861840, 241495/36288, -417589/17280, 27589/6720, 2966323/120960, 
  16/21, -485/288, -5123/288, 983389/5184, -316499/3456, 76879/3456, 
  3001/576, 7543/576, -127/72, -15935705/49248, 3178211/16416, -500047/20736, 
  12545/10368, 704489/20736, -80521/10368, -488845/20736, 155/72, 
  347005/20736, -59641/1296, -500047/20736, 53777/20736, 0, 8251/2304, 
  -155/48, -133/16, 704489/20736, -54397/20736, -57565/20736, -80521/10368, 
  -85445/3456, 0, 1507/144, 172333/10368, -59641/1296, -137/18, -14872/567, 
  203759/4536, 3520/189, -2, 137/18, 14872/567, -40505/4536, -685/72, 
  -179119/4536, -11203/1512, 704/189, 405313/9072, 25283/1512, 35/144, 
  685/72, 25373/1134, -1591/756, 12037/4536, 8278/567, 4061/432, 0, -187/12, 
  343/432, -1/36, 140209/10368, 4133/576, 175057/41472, -283/1728, 
  -236893/10368, -323/72, 3421/1728, 34469/5184, 23915/6912, 1866427/41472, 
  -217915/2592, -1837/72, -5285/10368, -1/36, 163249/10368, 0, 5093/576, 
  -623/144, -32015/41472, -283/1728, -253021/10368, -407/72, 3421/1728, 
  58085/5184, 23915/6912, 2232475/41472, -230155/2592, -2113/72, 22/9, 
  15436963/331776, 1282723/82944, -137/18, 0, 31/6, -19/36, -1586851/41472, 
  -13458239/110592, 1485475/41472, 16484099/165888, 9500791/165888, 
  -296399/124416, -4135651/497664, -455713/124416, 2176751/746496, 
  -21757/10368, -35981383/186624, 5445547/124416, 50691199/186624, 289/18, 
  25/4, -15436963/331776, -1598371/82944, -137/18, 85/48, 49/36, -217/72, 
  -1744675/41472, 7086199/331776, 5217089/55296, 83/18, 179/1728, 179/3456, 
  -179/3456, -179/1728, 1485475/82944, 1485475/165888, -1485475/165888, 
  -1485475/82944, 179/5184, 719/72, -719/48, -719/72, 719/144, 8807/1728, 
  -179/3456, -8807/1728, -1485475/20736, 1485475/165888, 1485475/41472, 
  -1485475/82944, -7421647/165888, -6673/216, -2450249/393984, 62611/2304, 
  -145775/41472, 2675/64, -70739/912, -17089825/196992, -24253/3456, 
  -5808181/49248, 2646335/62208, 773921/13824, 982561/49248, -269563/3888, 
  -6673/216, -2669129/393984, 0, 61331/2304, -719/144, -352847/41472, 
  2675/64, -211153/2736, -17013217/196992, -24253/3456, -5830069/49248, 
  2646335/62208, 842945/13824, 1004449/49248, -269563/3888, -1485475/165888, 
  1485475/41472, 4453561/82944, 1485475/41472, 179/2592, -7421647/165888, 
  105007/4320, -103207/4320, -5/12, -1888699/60480, 393401/60480, 
  418601/60480, 52009/103680, -105007/4320, 1888699/60480, 0, -418601/60480, 
  -1069/9, 33154301/246240, -45529/11520, 21155/144, -4669957/98496, 
  -1453/48, -1520633/51840, -2119/103680, 10661711/362880, -32/21, -1069/9, 
  5/9, 0, -5888419/246240, 719/144, 3997/3840, 21155/144, -7/18, 
  -962677/98496, -1453/48, -1497593/51840, 0, -519799/103680, 
  10500431/362880, -32/21, -35/8, -1283/576, -29/48, -35/8, -1065473/54720, 
  -10410667/287280, 13/24, -13/48, -35/8, -1127/576, -209/288, -59/12, 
  -815/576, 611/192, -31/16, 33163/1296, -32695/1296, -112171/2592, 
  -32695/2592, -112171/5184, 32695/2592, 112171/5184, 181/48, 21823/1296, 
  -138203/2592, 120919/2592, -40111/1296, -641/144, -32695/2592, 
  -112171/5184, 1421/18, -5969051/49248, -669683/3078, 62771/2592, -3329/36, 
  2559685/65664, 2522825/65664, 2911/144, 28505/81, -40931/1296, 1421/18, 
  -748763/49248, 0, -345125/3078, 815/144, 75713/2592, -3329/36, 
  1389893/65664, 459523/21888, 2911/144, 20144/81, 0, -719/144, -21659/1296, 
  0, 35/8, -50711/5184, 1283/576, -1283/576, -5155823/32832, 
  430287023/3939840, 140960377/3939840, 12130741/49248, -122593243/7091712, 
  -633861271/17729280, -9819709/98496, -64526089/311040, 
  -8071841387/23639040, -64734383/933120, 2936608181/11819520, -13/24, 
  -3133232683/23639040, 13/48, 5443103/32832, 160648519/1477440, 6299/486, 
  -9463345/98496, 59/12, 1858984003/11819520, 815/576, -42216703/492480, 
  -837113083/23639040, 8/9, 0, -16/9, -37/72, 37/36, -8/9, 0, 37/72, 0, 
  -44575/1296, -2/9, 0, -565/72, -61555/3024, -574631/27216, 29681/576, 
  -11/72, 949/48, -54703/5184, -143/24, 0, 1508137/27216, 59/8, -123487/1944, 
  5/9, -8/9, 0, -685/72, 110/189, 21155/4536, 5/6, 37/72, 335/16, -23/36, 
  8/9, 0, 13505/1512, -37/72, 0, -11/9, 11/9, 137/36, -11/63, -695/252, 
  55/72, 11/9, 1777/756, 43711/1296, 22/9, 16/9, -3, -41/144, -67/48, 
  -28241/576, -28/9, 23/12, 49087/5184, 173/72, -25/72, 67/48, -151/36, 
  123487/1944, 1493/216, -25807/2592, -17855/486, -29815/1728, 52693/2592, 
  7421/576, 2293/144, 658463/3888, -4237/216, -377/48, 419/72, 15097/3024, 
  -137/36, -77543/4536, -4796/567, 425/36, -11453/1008, 8473/504, 587/144, 
  -2099/72, -10805/504, 172295/4536, 91297/3024, 685/1512, -1493/216, 161/24, 
  55/189, 15943/2592, -23741/4536, 218311/6804, 35431/1728, -755/168, 
  -3343/18144, -2449/576, -691/16, -11155/504, -3605711/27216, 39719/1008, 
  3499/1512, 23941/1296, -23/18, 0, 410651/7776, 2743637/54432, 
  -766117/31104, 1/36, -193/16, 63839/5184, 1323373/31104, 0, -622457/7776, 
  -149639/15552, 7345/144, 95333/6912, 15863/1152, -17/12, -1415615/62208, 
  160037/10368, 9631/432, 1162253/62208, 11/4, -472835/62208, 7535/144, 
  -226561/20736, 1, -16/9, -14/9, 425/144, 175/48, 307825/20736, 1/6, 359/36, 
  -4363/1728, -515297/20736, 25/72, -175/48, 460477/20736, 53/24, 29/48, 
  -1493/216, -2462849/31104, -13811/1296, -4439473/54432, -361589/13608, 
  30307/2592, 1349609/72576, 576391/18144, -28667/2592, 2831561/31104, 
  -79067/27216, -3700265/72576, 377/48, -7531/648, -41/72, -89209/5184, 
  -1/18, 79685/20736, 61/24, 48983/2592, -11/144, -29/72, 6253/1296, 
  -59897/5184, 1125853/20736, 50957/10368, -570175/10368, -531953/10368, 
  7079/1296, 11/72, -17791/864, -35/36, -60587/6912, -1405/144, -24721/1296, 
  65/144, 191/36, 6403/2592, 33239/2592, 512483/20736, 167/36, 552347/10368, 
  3371/288, 2354585/41472, -2062267/13824, 139405/2592, -6613/864, 193/72, 
  64/9, 11/72, 317/18, 14, 11395/576, -917/144, -139/144, -12475/1728, 
  -683/72, -19/6, -119/6, 1411/144, 205/18, -1847989/124416, -459407/165888, 
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  2525/1296, -31711/10368, 1451/432, 7297/1728, 701/864, -2149/2592, 
  -647/2592, 1/12, 0, 0, 0, 0, -5/54, 13/54, -613/432, -737/864, 2465/2592, 
  -1/12, 0, 0, 0, 0, 0, -457/1728, 0, 91/216, 0, -191/72, 0, 997/864, 
  1355/864, -445/432, -1223/288, 143/48, -2921/1728, -679/576, 881/192, 
  29/24, 0, 0, 0, 0, 0, 2965/3888, 0, -4019/972, 0, 13867/3888, 0, 2371/3888, 
  -29821/31104, -13673/3888, 22045/31104, 8567/1944, -26959/31104, 
  74911/31104, 1/8, 0, -11/576, -715/256, -9/64, 0, -10205/8064, 1923/256, 0, 
  10063/896, 0, 0, 31/64, 9277/10752, 3/8, 0, -1153/2688, -36269/10752, 0, 
  -8487/896, 0, -55/144, 13193/10752, -93/448, 829/672, -90089/10752, 
  11783/2016, 3065/4032, -15/112, 22861/4032, 7/32, 0, -317/864, -2401/512, 
  78317/13824, 0, 463/864, 14215/4608, 0, -3701/864, 0, 0, 163/216, 
  127349/13824, -62881/3456, 0, -3121/1728, -39979/4608, 0, 6143/1728, 0, 
  -1/9, -27865/6912, 131131/6912, 1/9, 18913/3456, 0, -7/72, -30509/4608, 0, 
  5/144, 67/192, 3/16, -11/432, 955/10368, -1/2, 2879/10368, 3/8, -611/864, 
  -1/12, 0, 5/144, -221/576, -677/384, 0, 0, 155/96, -3/32, 0, 0, 3/32, 0, 0, 
  0, -11/432, 5033/3456, 12313/3456, 15/32, 145/288, 0, -859/288, -1037/384, 
  -991/1296, 0, 209/96, -2099/864, 0, -301/1152, -7043/5184, -31/32, -155/81, 
  137/162, 1511/1728, 2683/3456, 289/288, 1871/5184, 4139/2592, 3031/5184, 
  1613/10368, -2843/2592, 0, 59/1296, -7943/5184, 21323/10368, -5909/10368, 
  0, -9113/7776, 64871/10368, -20905/5184, 0, 196519/23328, -1217869/93312, 
  0, -168787/23328, 0, 0, 0, 0, 0, 0, -107543/144, -21836909/46656, 
  17103283/139968, 10213109/139968, 0, 8207/2592, -8207/324, 0, 
  -588953/15552, 440921/3888, 0, 212401/972, -789223/2592, 0, -2858705/15552, 
  0, -3367/486, 135499/20736, -726353/15552, 278321/3456, 1038091/31104, 
  -15990085/93312, -4641809/10368, 85628321/186624, 720019/1944, 
  -1383769/41472, -4988347/62208, 3100945/23328, 8080135/124416, 
  37534571/559872, -1172053/31104, 2417609/62208, -5642329/69984, 
  -2490581/62208, 125/96, 0, 0, -157/144, -11/6, 0, 8207/2592, 709/81, 
  6253/648, 505/24, 16205/864, 31637/864, 15685/1296, 0, 0, 131/32, 85/32, 
  -588953/15552, -525521/5184, -1081417/10368, -995215/5184, -36845/486, 0, 
  0, -3, 212401/972, 1424033/2592, 2558483/10368, 0, 0, -2858705/15552, 0, 
  -3367/486, 163/108, 1331/576, 51/32, -77633/20736, 148793/3456, 
  1102375/41472, 328897/2592, 1214069/31104, 278321/3456, 107/216, 
  -1783/1152, 4340977/31104, -417257/10368, -9915475/373248, -4641809/10368, 
  -5231/1728, -17112259/186624, 720019/1944, -1328249/41472, -4019/6912, 
  1471/576, -4004789/31104, -316597/5184, -4626875/93312, 7637659/124416, 
  -26117/6912, 33181303/279936, -296041/7776, 5496163/124416, -43/216, 
  -2888981/139968, -5896195/124416, 1093/1728, 0, 1/72, -5/144, 1/48, 0, 0, 
  0, 0, 0, -1/32, 3/32, -1/16, -6605/1944, -32617/5184, -128081/10368, 0, 
  -1/32, 1/32, 548633/15552, 1938731/31104, 0, 0, -2851543/15552, 0, 
  33539/3888, -4207/1152, -497/1152, -25/32, 27289/1728, 262471/10368, 
  -18601/648, -5851/64, 1050895/20736, 3403/2304, -8079509/62208, 
  1130621/10368, 2432477/5184, -2854511/10368, -29074991/62208, 2878709/7776, 
  297209/6912, -1256683/41472, -1685/1152, 205061/1944, -548045/15552, 
  -4947203/62208, 1618429/13824, -568283/11664, 48757273/93312, 
  -615389/15552, -521935/10368, 1417619/11664, -170476/2187, 
  -10586357/139968, 0, 1/36, -1/12, 1/12, -1/36, 0, -7/48, 7/24, -7/48, 0, 
  5/24, -5/24, 0, -13/144, 0, -76493/7776, 71609/7776, 3672743/31104, 
  -2754827/31104, -20505745/31104, 4692725/10368, 8617871/15552, 
  -3974173/124416, 4298791/124416, 688525/10368, -156977/62208, 
  -3676127/124416, 1549577/27648, -537023/9216, -1513097/27648, -47/216, 0, 
  -8447/864, -100643/10368, -130765/6912, 267607/6912, 0, 2839/27, 
  4114405/62208, -6056875/31104, 0, -16284319/31104, 38461745/62208, 0, 
  -5969135/31104, 0, -206323/15552, -3324095/62208, -1975439/15552, 
  12644165/124416, 2468851/15552, 739763/3888, 988717/31104, -13803209/15552, 
  -4947509/31104, 11538521/15552, -346879/7776, -5793143/248832, 
  -39146593/248832, 1364977/15552, 2506963/27648, -665405/15552, 
  2363143/31104, 122311/41472, -2335711/31104, 101/432, 0, 0, -2099/2592, 
  2251/2592, -8447/864, -6955/648, -183289/31104, -207379/10368, 
  -407465/15552, -1672421/62208, -259991/6912, -997379/15552, 79/72, 0, 0, 
  35987/10368, 17/16, 2839/27, 1757923/15552, 1702939/20736, 10974455/62208, 
  2053519/7776, -257533/20736, 0, 0, 48875/10368, -16284319/31104, 
  -8474761/15552, 4248283/62208, 0, 0, -5969135/31104, 0, -206323/15552, 
  -62881/15552, 17401/41472, -2909107/62208, -21569/972, -3100037/31104, 
  -5784017/41472, -24780121/124416, 79151/7776, 2468851/15552, 650315/31104, 
  327809/41472, 764183/7776, -1556765/41472, -2324323/20736, -13803209/15552, 
  23369/864, 12793195/31104, 11538521/15552, -120091/2592, 527519/41472, 
  10829/20736, 5680693/248832, 37908997/248832, 3536455/124416, 252899/2592, 
  685841/20736, 17514517/248832, -135727/2592, 4877983/62208, 18763/13824, 
  -1517821/27648, -4919023/62208, 47/432, 0, 0, 0, 0, 0, 6869/1944, 
  64199/10368, 262597/20736, 0, -1159201/31104, -3746239/62208, 0, 
  358085/1944, 0, -14645/972, -89437/3456, -914663/20736, 290935/6912, 
  5618717/31104, 27326215/124416, -4640407/41472, -15768365/15552, 
  55487431/124416, 230789/648, -7547185/124416, -1599887/10368, 
  11603333/124416, -3609733/124416, 25983283/248832, 368165/20736, 
  45384767/248832, -38008477/248832, -19469167/124416, 82999/20736, 0, 
  -7/576, 6719/2304, -2429/768, 149/576, 0, -3749/1152, -10631/2016, 
  95065/16128, 0, 33247/2016, -122401/16128, 0, -35549/2688, 0, -59/576, 
  -13903/64512, 53839/64512, -2111/4032, -3479/1152, 913/576, 54167/64512, 
  154451/8064, -23125/3072, -2713/144, -228299/64512, 213443/64512, 
  -8495/21504, 378571/32256, -596723/64512, -88115/7168, -2353/21504, -3/112, 
  -9797/7168, -3/28, 0, -1/144, 17/6, 0, 3125/4032, -101/8, 9/64, 0, 
  -1069/128, 1695/128, 0, 29579/2688, 0, 25/192, 499/8064, 3/8, 2413/1152, 
  -44785/32256, -39/32, -977/64, 14205/3584, 54377/8064, 151579/64512, 
  -235/224, -1339/1008, 957/448, -347785/21504, 9173/9216, -90581/9216, 
  -13/112, 0, -1/144, 407/192, 3791/768, 231/64, 0, -161/576, 11/18, 409/256, 
  -23/288, 43/16, 143/576, 0, 3125/4032, -74153/8064, -1977/128, 0, 
  -103879/8064, -43/24, 15961/1344, 43/576, 0, -1069/128, 559/672, 0, 
  54223/2688, -289/144, 0, 29579/2688, 0, 0, 25/192, 6827/8064, -16181/10752, 
  -3/64, 29/48, -194275/21504, -4285/4608, -3739/2688, -881/1152, 2413/1152, 
  -303041/32256, 27863/10752, 2447/672, 251459/64512, -110419/16128, -977/64, 
  521653/32256, -7037/1008, 54377/8064, 141163/64512, -92011/16128, 
  -4869/448, -97535/64512, -292637/64512, -625/1008, -2371/896, 276739/16128, 
  337189/64512, -851923/64512, 269593/64512, 3455/448, 43391/21504, 
  -745753/64512, -11/112, 0, -35/192, 5965/3072, 85/256, -1/3, -8083/2304, 
  -8377/3072, -85/256, 7/6, 3011/768, 201/256, -1, -265/1152, 1/6, 0, 
  3715/1152, -108049/10752, 5/4, 414245/64512, 98291/10752, -1897/576, 
  -65743/8064, 2623/1152, 0, -8863/896, 1, -9/8, 11635/10752, 3275/1152, 0, 
  -13/8, 121/72, 0, 281/576, 77729/64512, -8473/5376, -9/64, 2899/2304, 
  3069/3584, -4883/5376, -2293/2304, -6739/16128, 149/576, -6587/1152, 
  142475/8064, 553/64, -118757/21504, -735869/64512, 33449/4032, 92507/8064, 
  -97445/10752, -72691/32256, -2539/2016, -11937/3584, -53699/64512, 3/8, 
  -71069/64512, 49757/64512, 5701/4032, 49115/32256, -88831/10752, 
  175585/21504, 97577/10752, 230723/64512, -93/448, -1823/21504, -45541/4608, 
  -3/112, 0, -1/12, 1/4, -1/8, 0, 13/48, -17/16, 1/2, 0, 1/4, 1/4, 0, 0, 0, 
  -13/108, -173/288, -1/8, 1/8, 437/432, 37/36, 1/16, -349/432, 53/36, 7/36, 
  697/1728, -47/288, 1469/1728, 11/9, -7/72, 67/96, 2/9, -47/64, -103/576, 0, 
  199/432, -199/432, 0, -2593/1728, 97/1728, 0, 353/108, -1705/864, 0, 
  -4409/1728, 0, -17/54, -257195/20736, 148093/10368, 95/216, 12967/1536, 
  799715/41472, -443/144, 130577/10368, -11/12, -5489/1728, -878393/41472, 
  -45035/13824, 3919/1728, -178157/10368, -6319/5184, -35/32, -93667/10368, 
  -157/288, -47/576, 0, 0, -59/144, 11/24, -3/8, 199/432, 1439/1728, 
  2281723/82944, 2153/1728, 2506133/82944, -1407457/27648, 7019/768, 
  -4630405/82944, -25451/2304, 0, 0, 3/32, -17/16, -2593/1728, -11957/3456, 
  -535609/10368, -10373/3456, -691879/13824, -40709/6912, 0, 0, 3/4, 353/108, 
  17371/3456, 229/128, 0, 0, -4409/1728, 0, -17/54, -623/864, 233989/82944, 
  1/8, -288839/20736, -1151789/27648, 1958629/27648, -80273/3072, 
  12289705/82944, 4809095/82944, 95/216, 3263/1152, -91/64, 173143/13824, 
  1570741/20736, 548989/10368, -443/144, -16723/3456, 58367/10368, -11/12, 
  -5035/1728, -55949/13824, -260723/41472, -1992953/20736, -310699/5184, 
  8641/3456, -2585/1152, -1002133/20736, 14287/10368, 80897/82944, 
  135559/41472, 1432387/82944, 7201/2592, -110431/41472, 0, -97/108, 
  -383707/41472, 247435/20736, -1/8, -1/3, -463133/41472, 160703/5184, 
  -242251/20736, 7/6, 131633/5184, -100597/4608, -1, -552683/41472, 1/6, 0, 
  6181/1728, 68477/20736, -7/16, 467/432, 44993/10368, 85459/10368, 
  -36785/4608, 3595/768, 109793/13824, 0, -10289/1728, -59/16, 2375/1728, 
  -865/6912, 3035/512, 0, 6865/864, 4043/1728, 0, 433/432, 242015/10368, 
  -464281/6912, 1/8, 240163/41472, -439897/5184, 144967/2592, -317821/20736, 
  1041383/20736, 394411/41472, -2561/576, -274927/10368, 274555/20736, 
  -662155/41472, 126655/5184, 57941/2304, 1213/192, 49559/3456, 1191/64, 
  -523/108, -621829/41472, 1475333/13824, -5/144, 114107/2592, 
  -2487283/41472, -774635/41472, 188813/6912, -1338863/20736, -3466217/41472, 
  -17491/1152, -2086691/41472, 95/192, 452143/41472, 1092337/20736, -157/576, 
  0, 0, -251/1296, -59/1296, 36119/20736, 7943/5184, -12979/5184, 
  -21323/10368, 19813/20736, 5909/10368, 0, 0, 133/96, 125/96, -241223/41472, 
  -8083/1296, 163361/41472, 82333/20736, 0, 0, -4733/1296, -5399/1296, 
  231379/41472, 133649/20736, 0, 0, 1867/648, 1079/324, 0, 0, 0, -541/2592, 
  1/9, -6335/3456, -1265/576, 32423/6912, 96127/20736, -24293/10368, 
  -18377/10368, 0, 341/576, -3767/2592, 181283/20736, 24781/2304, 
  -112663/13824, -144565/20736, 0, -4783/2592, 18113/5184, -478103/41472, 
  -75185/5184, 0, 22189/5184, 2515/5184, 0, 355/2592, 2881/6912, 199/384, 
  -38011/20736, -33911/10368, 1141/1152, 2525/1296, -1267/5184, 6701/3456, 
  -9025/5184, 4567/2592, 40891/10368, 1577/864, -9005/2304, 3881/864, 
  -12133/5184, -7/768, -565/1728, 3745/5184, -977/3456, -7021/10368, 
  -8921/5184, 22327/10368, -1463/5184, 45697/20736, -217/1152, 1/24, 1/12, 
  -551/1152, -1/16, 0, 241/864, 1271/1152, 5/16, 0, 0, 0, 0, 0, -21/16, 
  -965/384, -3/8, 0, 11/216, -23/1152, 143/2304, 0, 11/6, 3/4, 0, -167/1296, 
  97/2304, 0, -9/32, 0, -137/648, 0, 0, 0, -1109/2592, -11701/10368, -15/32, 
  -11/108, -23/1152, 143/2304, 0, 6761/5184, 16237/6912, -3/32, 44/81, 
  -103/2304, -143/2304, 0, -589/864, -67/768, 41/5184, -1445/3456, 0, 13/192, 
  -3941/5184, 0, 25/324, 51719/62208, 7/24, 77/384, 0, 203/1728, -859/2304, 
  3/16, -14611/31104, -343/3456, -589/1296, -17/144, 5569/10368, 1673/1728, 
  -24785/62208, -28481/31104, 199/1728, 38437/31104, 17807/10368, 4273/15552, 
  -3539/20736, 515/1944, -1/48, -515/1944, 0, 5/48, -49/128, -7/256, 0, 
  1421/1296, 1975/768, 6617/4608, 199/256, 0, 1427/864, 210457/13824, 
  -277/512, 0, -3335/3456, 203773/13824, 0, -68779/5184, 0, -181/288, 
  305/768, 0, 0, -477949/31104, -1880111/41472, -539/288, 3121/972, 
  -14677/20736, -532673/5184, 64613/10368, 7993043/124416, 260023/20736, 0, 
  367/288, 17/32, 0, 2785847/31104, 5624377/20736, -270127/7776, 
  -22629373/124416, -3913669/62208, 0, -17/16, 0, 9305/7776, 1431143/7776, 0, 
  0, 0, -22747/1944, -29983/2304, -1309/512, -75/32, 11179/3888, 
  -177419/13824, -99403/20736, 19955/4608, 3143/384, -521471/41472, 
  782701/20736, 263287/20736, -237095/31104, -9/4, 0, 791657/5184, 
  2100767/13824, 1679/384, -451867/15552, 24811255/124416, 94097/512, 
  -3011707/62208, -27453929/373248, 3360677/62208, 0, -1613491/1728, 
  -5724007/6912, 1107169/7776, -7102879/93312, -1129235/15552, 0, 
  11462161/7776, 361373/1944, 0, 59533/7776, -166097/3456, -1326733/13824, 
  -1835/384, 105443/5184, -33490495/248832, -8317859/41472, 4170503/62208, 
  37631383/186624, 1525/216, -52825/648, 693583/7776, 1597697/4608, 
  -299209/2304, 184678549/2239488, -264725/62208, 1144991/2592, 
  72039385/124416, 6384247/62208, -2879119/7776, 40739/1296, 22700321/248832, 
  -1048925/6912, 208669/3456, 11766701/559872, -22255/3456, -2040265/31104, 
  -122376239/746496, -401363/3888, 1013245/31104, -2589509/62208, 
  -25819585/186624, 15/8, 2555669/62208, -5/32, 0, -1661/324, -128093/31104, 
  27593/41472, 0, -6653/1296, -518899/62208, -351191/41472, -27593/41472, 0, 
  -87139/20736, -775387/41472, 1565945/124416, 0, -4907/512, 4001783/124416, 
  0, 261547/13824, 0, 3430319/62208, 142055/3456, 0, 3219367/62208, 
  9018101/124416, -1684735/41472, -1643/486, 3128873/124416, -4498147/31104, 
  -16205/2592, -14492095/124416, -16171/1296, 0, -8577511/31104, 1/4, 0, 
  -464609/1944, 9880225/31104, 1142471/31104, 11756873/31104, 235715/3888, 0, 
  -5/16, 0, -637699/3456, -636535/3456, 0, 0, 0, -2966/243, -3790115/248832, 
  -6145825/124416, -22475/7776, -8067667/248832, -2047873/20736, 
  3081539/62208, -3229/432, -10112525/124416, 28411571/248832, -16273/1296, 
  8665645/82944, 9/8, 0, 2224091/15552, 3357371/248832, 19817/41472, 
  316141/7776, 36134833/248832, -6693629/82944, 2658733/41472, 
  -72882235/248832, -2162863/124416, 0, -1517815/1944, 71185/1728, 
  -300415/1152, 34646371/62208, -6327335/62208, 0, 1381513/7776, 
  11533105/31104, 0, 17581/5184, -2649175/62208, 4682647/165888, -51259/7776, 
  -47226919/497664, -497051/18432, -3487009/124416, 20983939/497664, 
  -1525/432, -140221/3456, -927545/20736, -3058739/62208, -331399/10368, 
  31076641/248832, 24196325/248832, 2367251/10368, 2194451/41472, 
  3244459/124416, -990155/5184, 1662401/124416, 20837923/124416, 
  5160697/82944, -62533253/248832, 503/144, -128821/5184, -31565069/248832, 
  -11063939/124416, 1569415/124416, -5166847/248832, 82999/41472, -47/48, 
  5331007/248832, -47/432, 0, 5/144, 1/24, 0, -1/576, -563/2304, -7/1536, 
  -1/12, -3473/1152, 221/768, -19/512, 7/24, 5083/1536, -5/64, -1/4, 
  -1349/4608, 1/24, 0, -7/32, -1/8, 0, 1279/384, 449/512, 31/72, 
  181877/32256, -133/256, -697/768, -194225/32256, 811/1536, 0, 3/8, 0, 
  -33709/2016, -23/32, -37/48, 245201/32256, 1379/1536, 0, -3/32, 0, 
  109559/8064, 25/48, 0, 0, 0, 25/96, -5129/2304, -775/256, -9/64, 91/384, 
  77891/129024, 1235/1536, 15/64, 413/512, -17747/14336, 25/768, -415/384, 
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  425479/129024, 37585/2688, 28555/21504, -3545/9216, -23633/2688, 
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  593/1152, -11/16, -715/2304, -395/4608, 1/2, 2401/4608, -223/512, 0, 
  13/144, 319/768, 51/32, 51/512, -515/768, 11/24, -53/64, -1417/576, 
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  -453055/3456, 0, 377/54, 11050619/31104, 0, 100177/15552, 5457247/124416, 
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  -6835/3456, -168515/31104, -408667/62208, 50267/15552, -54269/20736, 
  67481/20736, 0, -23725/6912, -733/432, -5791/3456, 113/288, 447311/15552, 
  905153/62208, 175949/15552, 125921/20736, 185/864, 0, 9683/1728, -377/768, 
  -5861/1728, -298225/15552, -322693/62208, 0, -8359/6912, 15005/3456, 0, 
  -1/72, 2267/3456, 79/128, 360061/62208, 189269/62208, -203/432, 
  13565/20736, -151/216, 1087/1728, -1805/6912, -4807/3456, -250747/31104, 
  -192797/62208, -35333/20736, 2563/3456, 2239/768, 141181/62208, -521/384, 
  -853/2304, -781/864, 893/432, 263/288, -875/1728, 2015/1728, -3599/1728, 
  6059/6912, -5/48, 5/48, 0, -25/24, 0, 0, 25/24, 0, 0, 1/24, 0, 1/72, 0, 0, 
  -2, 0, -25/24, 0, 0, 0, 71/36, -1/72, 0, 19/18, 0, -13/24, 0, 11/24, 0, 0, 
  0, -35/72, -29/72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -371/108, 0, 0, 1105/162, 
  -841/324, 0, 0, 0, 841/324, 0, 0, 0, 0, 0, 0, 73/72, 0, 359/648, 0, 0, 8/9, 
  6, 0, 0, 0, -1/9, 25/36, -2297/162, 0, -7/8, 0, -359/144, -133/48, 0, 0, 0, 
  35/12, 391/144, 0, -49/24, -569/216, -481/108, -2923/2268, 2368/189, 
  -481/108, 37/16, 481/108, 299/24, -23791/1134, -851/27, -185/16, 0, 0, 0, 
  0, 0, 0, 0, 0, 0, 0, 19/9, 0, -13/12, 0, 0, -8/9, -73/12, 0, 0, 0, 0, 0, 0, 
  1163/432, -301/216, -137/72, 0, 0, 91/18, 0, 827/144, 119/16, 0, 0, 0, 0, 
  1163/432, -713/72, -1037/144, -301/216, -31/12, 0, 0, 11/24, 0, 0, 0, 
  -665/108, 6181/216, 121/16, 0, 0, 0, 0, 0, 0, 113/54, -649/108, 461/162, 0, 
  0, -23/72, 0, 83/144, 7/48, 0, 0, 0, 0, 113/54, 97/72, -61/144, -649/108, 
  461/162, 0, 0, 0, 2959/216, -5269/216, 169/648, 0, 0, 0, 0, 0, 0, -109/432, 
  1807/432, 0, 8557/3024, 0, 109/432, -12865/3024, -619/3024, 1/14, 0, 
  -109/432, 1447/432, 0, -7/48, 29/48, 0, 8557/3024, 0, 0, 109/432, 
  -13453/3024, -79/144, -619/3024, 1/14, 0, 0, 0, 8/9, 76/9, 0, 0, 0, -25/8, 
  0, 0, 13/12, 0, -20/9, -109/48, 0, 0, 0, 0, 0, 1, 463/144, -25/8, -19/18, 
  0, -281/216, -751/1296, 0, 175/432, 0, -8/9, 613/324, -217/24, -2491/1296, 
  8209/1296, -883/324, -1601/1296, 217/216, -19/2, 943/108, 1219/324, 
  -997/648, 0, 0, 0, 169/27, -7603/432, 257/72, 0, 0, 0, 0, 0, 0, 
  -17453/1368, 6919/2736, -10379/1296, 0, 0, 0, 0, 0, 0, 0, 0, -451/144, 
  8329/864, -39649/6048, -1/42, 1/14, -451/144, -1481/432, -21269/5472, 
  8329/864, 129403/6048, 2719453/114912, -39649/6048, 103/72, 13639/1512, 
  -115/72, -1/7, -193/48, -193/48, 6431/864, 0, 0, -365/72, 3293/288, 7/8, 
  -9647/456, 23419/4104, 0, 12149/1728, 0, 0, 335/54, 463/216, -8659/432, 
  511/36, 0, 0, -29/24, 12149/1728, 359/144, 43/16, 0, 0, 0, 0, 335/54, 
  55/24, -19/432, -8659/432, 118/9, 481/27, 50024/567, -567733/4536, 
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  2257/84, -2368/189, -1114487/9072, -43993/756, -37/16, -2405/108, 
  -651083/9072, -1739/378, 7199/9072, -162367/4536, 0, 1/2, 0, 0, 0, -613/96, 
  115/108, -236791/48384, 0, 181/288, -685/432, 0, 5/4, -46219/3456, 
  5249/1792, -193/48, -8917/864, -595/216, 0, -613/96, -2, 115/108, -34/9, 
  -269047/48384, 0, 181/288, -685/432, 0, 5/4, -31243/3456, 78601/16128, 
  -193/48, -10693/864, -20/9, 43447/27648, 19543/6912, 481/27, 2, -421/27, 
  -595/108, 3497/3456, -297557/64512, 4183/3456, 1154177/96768, 284413/96768, 
  -260983/145152, 4437205/580608, 2846839/145152, -8646377/870912, -191/432, 
  5301445/870912, -4868575/580608, 8022299/870912, 2569/144, -601/54, 
  -98743/27648, 42025/6912, 481/27, 2245/432, -361/54, -191/216, 3809/384, 
  -163139/193536, 1485089/96768, 847/144, 761/252, 761/504, -761/504, 
  -761/252, 4183/6912, 4183/13824, -4183/13824, -4183/6912, 761/756, 10/3, 
  -5, -10/3, 5/3, 1181/252, -761/504, -1181/252, -4183/1728, 4183/13824, 
  4183/3456, -4183/6912, -48997/96768, 0, -19151/32832, 1753/1728, 
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  471859/48384, -6799/1368, -10379/648, 0, -19151/32832, 1, 1753/1728, -5/3, 
  -211837/16128, 0, -6565/912, -10073/2736, 0, -5297/342, -332021/10368, 
  552499/48384, -6799/1368, -10379/648, -4183/13824, 4183/3456, 39139/48384, 
  4183/3456, 761/378, -48997/96768, 5/18, -1/18, -2/9, -2699/504, 2447/504, 
  853/168, 149/24, -5/18, -1837/504, -9, 659/168, 0, -4853/5472, 841/144, 0, 
  -16861/8208, 0, -101/27, 3107/216, 743/189, 2/7, 0, 0, -3, -4853/5472, 5/3, 
  1081/144, 0, 0, -16861/8208, 0, -101/27, 3, 2747/216, 743/189, 2/7, -4/9, 
  -775/288, -37/72, -4/9, -20069/5472, 563/2394, 241/108, -241/216, -4/9, 
  -1361/864, -131/144, -289/108, 21/32, -487/864, 13/48, 37/12, -13/6, 0, 
  -13/12, 0, 13/12, 0, -5/72, 79/36, 1663/864, -7/3, -71/24, -29/72, -13/12, 
  0, 0, -218683/16416, -63187/16416, -959/108, 0, 2183/1216, -44117/10944, 0, 
  11677/864, 13403/864, 0, -218683/16416, -2, -63187/16416, -4/9, -671/108, 
  0, 2183/1216, -44117/10944, 0, 11677/864, 13/3, -8/9, 13403/864, -7/3, 4/9, 
  611/288, 775/288, -775/288, -19459/2052, -45869/16416, 63127/5472, 
  70171/8208, -764597/295488, 3716035/295488, 21239/16416, 144563/2592, 
  -11480975/196992, -22987/3888, 3660431/98496, -241/108, -1543489/196992, 
  241/216, 21283/2052, -311605/98496, 833/648, -55939/16416, 289/108, 
  2770813/98496, -21/32, -167723/10944, -4264897/196992, 0, 4, 0, -145/12, 0, 
  0, -145/24, 49/6, 49/24, 0, 0, 49/24, 2405/108, 107935/3024, 44791/2268, 0, 
  0, -16265/432, 0, 1/9, -49/12, -385685/9072, -25/36, 10511/648, 0, 0, -4, 
  2405/108, -370/189, -13505/2268, 0, 145/12, -16265/432, 0, 0, 145/24, 
  -15355/756, -49/6, -49/24, 10/9, -10/9, -481/54, -26/63, 3169/378, 595/216, 
  -10/9, -2651/378, 0, 0, 295/36, 0, 397/144, 133/48, 0, 0, 0, 0, -1/9, 
  -373/36, -391/144, 25/36, -2297/162, 0, 191/72, 18005/648, -481/54, 
  -1999/108, 119/432, -1337/216, -82501/1296, -1907/108, 1/3, -71/4, 
  4915/3024, 481/54, 171187/4536, 16132/567, -481/54, 5563/3024, -64471/1512, 
  119/432, 197/12, 10331/1512, -288367/4536, -63041/1512, -22889/3024, 0, 
  -665/36, -559/378, 1351/216, 21575/2268, -12461/1512, 0, -4747/1512, 
  -4411/189, 0, 5417/216, -1241/3024, -71803/9072, -6991/378, 3707/1512, 
  -2491/1296, 0, -25/24, -9107/1296, -312317/4536, -1601/1296, 0, 3253/144, 
  217/216, -19/2, 25/24, 1889/216, 1219/324, -997/648, -2491/1296, -122/27, 
  1723/54, -1601/1296, -901/432, 217/216, -1061/216, -1867/54, -4391/1296, 
  707/162, 0, 0, 20/9, 0, -397/144, -217/48, 0, 0, 0, 0, 169/27, -1/18, 
  947/144, -7603/432, 257/72, -4/9, 0, 16585/1296, -2753/648, 414023/4536, 
  -425/378, 0, -54167/9072, 13387/567, 0, -6835/1296, -511219/9072, 
  55927/4536, -1/3, 0, 0, -9493/3024, 0, -2821/1728, 25/48, 0, 0, 0, 0, 
  5147/864, 105505/12096, -2815/864, -1037/108, -6371/864, 0, 0, 929/1008, 0, 
  -2219/576, -187/24, 0, 0, 0, 0, 941/864, 57833/12096, 41/6, -485/108, 
  59/36, 580361/48384, 289453/16128, 14437/432, 0, 0, 677/72, 0, 1447/144, 
  43/16, 0, 0, 0, 0, 0, -313/18, -443/144, 0, 13/18, -759113/145152, 
  -233341/64512, 182167/41472, -121039/145152, -5135533/870912, -18721/864, 
  -1858211/435456, -196391/145152, 16400123/435456, 4381/432, -759113/145152, 
  -97/8, -3865/378, -467063/193536, 7823/1512, 163159/41472, -121039/145152, 
  1649/72, -4169869/870912, -18721/864, 7221853/435456, 4633/1008, 
  -1496387/145152, -6983461/435456, 7867/288, 0, -515/1728, -1739/1728, 
  -136909/16128, -125485/16128, 0, -3241/1368, -284/171, 0, -38557/2736, 
  -2146985/48384, 250627/48384, -17417/2736, -10379/648, -21150203/2757888, 
  -39160285/2757888, 23419/8208, 0, 0, -139/36, 0, 323/144, 77/24, 0, 0, 0, 
  0, -17453/1368, 5/72, -211/72, 6919/2736, -10379/1296, -625/684, 7373/1824, 
  -37/16, -625/684, -515/1728, -362023/48384, 7373/1824, -12809/2736, -37/16, 
  -37/16, -20335/576, -25351/768, 215489/6912, 401783/8208, -4122137/145152, 
  0, 241/48, -395/432, 641/108, -21/8, -505/216, 56/9, 21/8, -247/48, 
  -2257/432, 571/112, -1/14, 0, 419/72, -35/216, 17/216, 461/72, -21/8, 
  -36899/3024, -4775/1008, 21/8, -1505/216, -6859/756, 461/54, 10643/1512, 
  3/28, -8/9, -769/108, -647/144, 769/108, 775/144, -107/72, -157/432, 
  6035/504, -145/144, 149/24, 1285/108, -9073/432, -1685/108, -451/72, 
  -1481/432, 359/72, -21269/5472, 41/72, -7/6, 8329/432, 129403/6048, 
  2719453/114912, -39649/3024, 103/72, 353/189, 5/6, -817/504, -1/14, 
  -3019/288, 361/108, -1562069/147744, -373451/73872, 20267/1728, 
  -26925925/517104, -22344443/2068416, 0, -153071/147744, 4734179/2068416, 
  -2891/288, 585839/15552, 2699/288, -1562069/147744, -72707/12768, -29/8, 0, 
  -1584947/147744, 50785163/2068416, 19837/7776, -39724829/1034208, 
  -25265123/689472, -16/9, -47915/1296, 13/6, -671/72, -2329667/246240, 
  -35181269/2954880, 127/72, -13/3, -450065/8208, 0, 46169/1296, 
  -10366477/246240, 3799403/590976, 10101935/147744, 9815857/246240, -16/9, 
  -53315/1296, 13/3, -5069/432, 38793949/738720, 29629817/984960, 127/72, 
  -13/3, -58021/912, 0, 24025/648, -6503789/82080, -2111711/31104, 
  9771563/147744, 6150389/82080, 89/216, -3648569/73872, 13/6, -3379/648, 
  3408485/73872, 389/81, 3143/432, -13/3, -19501337/295488, 0, 1529965/36936, 
  -10499857/123120, -65669429/1477440, 383759/5184, 1160399/15390, -193/24, 
  0, 11/4, 6431/864, -281/48, -29/6, 0, 0, 0, 0, -365/72, -17/72, 373/72, 
  3293/288, 19/36, 281/216, 1707851/147744, -7330571/184680, 41537/1824, 
  -53860961/2954880, -43087/2736, -35491/1824, 24491/3888, 4709/32832, 
  31361/4104, -2149487/147744, 3468001/73872, 5820149/184680, -545449/32832, 
  -685301/46170, 281/216, 696641/36936, -23629609/738720, 190321/5472, 
  -40504247/984960, -1589/76, -35491/1824, -86555/9234, -137189/32832, 
  31361/4104, -956333/36936, 1670395/73872, 4755007/246240, 33073/1216, 
  453203/246240, 0, -122/27, 6631/216, 72875/5184, 301/12, 770605/9072, 0, 
  -901/432, -3253/144, 0, 979/216, -6973/216, -3889/216, -4145/432, 139/9, 
  -3127/18, -481/54, -5533/84, -25012/567, -481/54, 52493/144, 899903/4536, 
  2261/432, 3127/18, 19/18, 12569/63, -4921/24, -19/18, -16357/108, 
  -80227/216, -71789/324, -592/189, -481/54, 1106/3, 496603/2268, 595/216, 
  16357/108, 20389/54, 4958/81, -8843/54, -443/72, 0, 17521/1296, -3485/432, 
  -2753/648, 382523/4536, 1471/189, 0, -2249/2268, 103505/4536, 0, 
  -10039/1296, -2731/432, -769057/9072, 7603/1134, 2087/144, 0, 613/48, 2, 
  -115/54, 34/9, 277111/24192, 0, -181/144, 685/216, 0, -857/432, 12241/576, 
  -281695/24192, 2239/216, 160555/6048, 222857/290304, 0, -454001/96768, 
  -233341/64512, -534229/193536, 172663/41472, 2362999/290304, 0, 
  -5135533/870912, 595/108, 3676151/870912, 2680913/193536, -222859/41472, 
  -533831/217728, -284413/96768, 821075/290304, 9/8, 454001/96768, 
  467063/193536, 534229/193536, -2822923/145152, -13750355/290304, -37/8, 
  2983145/124416, 191/216, -1735681/124416, -167845/21504, 5857445/290304, 
  -10406911/435456, -4045/72, -260983/145152, -1711/144, -4, -65/108, 55/9, 
  4437205/580608, 2846839/145152, 233/18, -5600201/870912, -1381/432, 
  21612901/870912, -11339/3024, -1287769/82944, -15322981/870912, 65941/1512, 
  10/3, -515/1728, 761/504, -8543/1728, -37519/5376, -142621/16128, -10/3, 
  -3241/1368, -2891/2736, 0, -82291/9576, -2220041/48384, 211315/48384, 
  -56809/4788, -10379/648, 21150203/2757888, -4183/13824, -4183/13824, 
  39160285/2757888, -23419/8208, -761/378, 8665/10752, 22709/32256, -761/756, 
  -761/504, 0, -515/1728, 761/504, -136909/16128, 0, -12809/2736, -37/16, 0, 
  -24229/1728, -1791929/48384, 162191/5376, 52709/2736, -1467475/48384, 
  -5/18, -3/2, 3/2, -130537/7776, -148033/7776, -1837/504, 3, 15/4, 659/168, 
  283/54, 23/6, -2053/378, -2/7, 1096439/73872, -163747/7776, 1009072/32319, 
  132481/2592, -19535191/344736, 85445761/2068416, -126708745/2068416, 
  -149/24, 1063607/73872, -181099/7776, -2905/864, 241/216, 775/288, 
  16048195/517104, 132481/2592, 2339/864, -20971933/344736, 4334335/76608, 
  -3874645/2068416, -776351/15552, -11387653/229824, 15, -4/9, -23/4, -5/2, 
  0, 192097/7776, 0, -20069/5472, -69/16, -499/144, 563/2394, 49/72, 
  -1025/432, -10961/7776, 251/16, 337/54, 79/36, -3, -20039/8208, -4247/7776, 
  33571/7776, 1663/864, -356063/32832, -7/3, 2609/456, 3750349/147744, 
  154739/6156, 16039/32832, -3951445/147744, -1/4, 916411/155520, 
  743611/155520, -860251/155520, -648571/155520, -481/54, -1580017/92340, 
  -767767/92340, 655/216, -1063291/155520, 295591/155520, 447241/77760, 
  2275109/184680, -256711/155520, -5449/513, 72079669/2954880, -13/6, 
  34383889/2954880, -21263521/738720, -311131/155520, -45751/5472, 
  -1379947/92340, 751433/1477440, 643/216, 89069591/2954880, -2032495/98496, 
  -138152411/2954880, 27083947/1477440, 988949/16416, -19459/2052, 
  -9991/4104, -27575/7776, -47123/16416, 32779/7776, 63127/5472, 70171/8208, 
  -928679/73872, 2856247/295488, 21239/16416, 2575889/49248, -698791/18468, 
  -64746769/590976, 9035591/295488, 23330867/295488, 0, -149/96, -1/16, 0, 
  7/64, 0, 0, -19/18, 0, 167/36, 0, 25/24, -37/12, 0, -14047/3888, 
  -24611/2592, 0, 5/96, -5/96, 0, -1/192, 0, 0, 115/72, -83/96, 0, -409/144, 
  0, -451/288, 47/48, 1543/576, -1/16, 0, 0, 0, 0, 0, 0, 0, -2423/864, 0, 
  12269/864, 0, -173/54, -313/96, -5353/864, 1067/96, 0, 0, 0, 0, 0, 0, 0, 
  491/48, 0, -1469/72, 0, -253/216, 6701/1296, 253/216, 0, 0, 0, 0, 455/288, 
  0, -517/192, 0, -1/72, 1/16, 1/72, 0, 0, 0, 0, 0, -2345/864, 0, -5039/1728, 
  0, 451/288, 5/4, -1559/576, 1/16, 0, 0, 0, 14047/3888, 24611/2592, 
  16391/864, 0, 0, 0, 16391/864, 62149/1728, 47915/1728, 6737/864, 
  12692243/2757888, 9375703/612864, -33362101/5515776, -1037922289/16547328, 
  3356785597/33094656, 5581/432, 64791145/14708736, 24705649/4902912, 
  534282463/8273664, 962919115/4136832, 58321171/44126208, 
  137612201/11031552, 2165598665/33094656, -76745117/4902912, 761/3024, 
  761/3024, 0, 0, 0, 0, 12692243/2757888, 6979945933/66189312, 
  -227301433/22063104, -459827275/4136832, 9375703/612864, 
  -6078643201/66189312, -4183/27648, -8555986421/66189312, 
  4684874179/66189312, 2779929769/9455616, -65192893/5515776, 
  8278138817/66189312, 23419/16416, -31966939/408576, 6629331547/44126208, 
  10121010115/132378624, 25419830213/66189312, 188412181/2068416, 
  -86313601/393984, -1837056791/9455616, -64112050073/132378624, 
  -2892927515/9455616, -38058839/497664, -102342607637/264757248, 
  -25251935899/88252416, 1171585663/11031552, 27451174337/132378624, -59/42, 
  -67/24, -235/168, 1/28, 0, 0, 0, -59/42, 724159/295488, -608005/295488, 
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