{{1, 1, -2, -2, 1, 2, 1, -2/3, -4/15, -41/180, 43/24, 1, 43/40, -23207/14400, 
  -503/600, 31199/14400, -79/60, -29/15, -1037/800, 1421/2400, 4/3, -43/60, 
  5/12, -8807/14400, 164/225, 96001/21600, 115303/43200, -37/60, -4271/2400, 
  3119/7200, 4/3, -149/1800, 44701/21600, -21007/21600, 149/1800, 43/120, 1, 
  -361/3600, -23207/14400, 10297/4800, -119/60, -43/60, 889/2400, 77/3600, 
  -1/3, -43/120, -5221/3600, -8807/14400, -929/3600, 29237/5400, 23999/43200, 
  19/15, -1871/2400, -3139/7200, -1/3, 1621/3600, 110623/43200, -66763/43200, 
  287/7200, -15127/7200, 1, 2, 2, -2, -4, 1, 4, 13/36, 1, -13/36, 3, 1, -2, 
  2, 13/36, 1, -13/36, 43/30, -62/75, -2419/720, 1181/800, 443/96, 
  -15043/9600, -23999/28800, -23/30, 2/3, 1559/3600, -2/3, 33901/14400, -2/3, 
  2/3, 5401/3600, -2461/4320, -51061/21600, 51031/43200, 83971/21600, 
  -5401/3600, -9907/2400, 113/45, -8807/9600, -94907/28800, 27097/14400, 
  44701/14400, -62/75, 1181/800, 3871/1440, -15043/9600, -23999/28800, 
  -43/30, 2/3, 3959/3600, -2/3, 33901/14400, -2/3, 2/3, 62/75, -2461/4320, 
  -28861/21600, 51031/43200, 80071/21600, -7801/3600, -9907/2400, 491/144, 
  -8807/9600, -28169/9600, 27097/14400, 42101/14400, 1, -1, 1, 43/20, 2, 
  43/40, -3961/3600, -23207/7200, -503/600, 15097/4800, 31199/14400, -33/10, 
  -33/20, -1111/1200, -2783/7200, 1, -43/40, -7321/3600, -8807/7200, 
  -221/720, 7887/800, 21917/7200, 33/20, -3071/1200, 359/360, 1, 4123/3600, 
  889/192, -25859/14400, 883/7200, -19027/7200, -56/45, -1/72, 73/240, 
  -8807/28800, 671/600, 7/48, -19201/28800, 893/240, 5183/1600, -7679/4800, 
  -21/40, -21/40, -893/240, 21/40, -8807/28800, 1429/1200, 115801/43200, 
  164503/86400, -107/240, -1617/1600, -1249/1600, 107/240, 179/900, 
  44701/43200, -13207/43200, -179/900, 43/240, 419/450, -8807/28800, 
  -6323/9600, 217/240, 163/240, 11209/4800, -29/3600, -1, -21/40, -169/60, 
  21/40, -43/240, 11/1800, -8807/28800, 1403/3600, 69679/21600, 23999/86400, 
  -29/40, -17/1600, -29399/14400, -1/8, -11/1800, 110623/86400, -66763/86400, 
  -1301/4800, -15127/14400, 56/45, 3479/1080, -23821/21600, 20899/3600, 
  257891/21600, -25121/10800, 40477/5400, 59023/5400, -129/80, 1043/720, 
  59/360, 103/240, -103/240, -191/180, -77/144, -13/72, 103/240, 89/240, 
  13/36, -13/72, 43/60, -109/3600, -1603/7200, 5207/7200, 9679/28800, 
  61091/14400, -65849/28800, -27599/7200, 1/3, 7/60, -47/900, -1/3, -977/600, 
  6397/3600, 548/225, -1/3, -463/240, -103/240, 199/800, 61/80, -43/120, 
  -135829/43200, 10319/3600, -7435/1728, 188671/43200, -240229/43200, 
  1961/960, 338177/43200, 169/120, 80491/7200, 33253/3600, -390229/43200, 
  -150637/21600, -71/48, -103/240, -14033/7200, 103/240, 1123/7200, 
  980213/43200, -428357/86400, 168389/7200, -1882073/86400, -97759/7200, 
  -1441/2400, 677317/43200, 17497/1728, -92/45, -99977/43200, 989069/43200, 
  7201/300, 98777/43200, 73/120, 3391/1200, -109/3600, -40549/14400, 
  9679/28800, -3077/3200, 1/3, -43/60, -4133/3600, -1/3, 16789/7200, 
  5171/1800, -1223/600, -1/3, -5/6, -103/240, -2033/2400, 61/80, 6733/3600, 
  -135829/43200, -91/75, -10619/8640, 188671/43200, -76189/43200, 
  -60329/86400, 23999/28800, 43/120, 75001/7200, 259/720, -433429/43200, 
  72709/43200, -43/60, -103/240, -3743/7200, 103/240, -6733/3600, 
  112523/4320, -428357/86400, 130289/14400, -359543/17280, -4874/675, 
  -33169/3600, 677317/43200, 314143/43200, -92/45, -331987/14400, 
  483379/17280, 1709851/86400, -74389/5400, -981109/43200, -197/240, -1/2, 
  869/450, -8807/14400, 971/600, -1641/3200, -19201/28800, 1, 217/240, 17/5, 
  13379/2400, -23153/14400, -61/40, -21/20, -523/80, 21/20, 197/240, 
  -1789/1800, -8807/14400, 28/45, 28351/4800, 23617/14400, -41/240, -817/800, 
  -127/45, 77/240, 293/450, 889/384, 47/9600, -6767/14400, -22927/14400, 
  -25381/5760, -14/15, 120499/8640, -14/9, -23041/4320, 2220629/86400, 
  -25381/3456, -57647/3600, 20161/1080, 38201/4320, -45769/960, 
  1044269/28800, 361943/43200, -2129789/43200, -43/120, 14587/3600, 
  3351/3200, -6917/900, 973/2880, -3351/3200, 124567/28800, -973/2880, 
  -9599/28800, 169/120, 1/3, -14081/1800, -28517/14400, -1/3, 8171/1600, 
  3331/1800, 5701/7200, -29/16, -263/240, 127/40, 61/80, -29/1800, 61/80, 
  -103/240, 1951/1800, -25547/4320, 5903/1800, -38071/8640, 590203/86400, 
  -640177/86400, 88531/21600, 47671/21600, 16787/2400, 99203/4800, -809/160, 
  -1475507/86400, -210101/43200, -3167/288, -103/240, 5923/14400, 103/240, 
  24811/2160, 129263/3600, -1295471/86400, 143009/14400, -2615819/86400, 
  -555689/28800, -55887/1600, 1266481/28800, 974413/86400, 1523/1600, 
  -1783357/28800, 794377/10800, 97459/1728, -1490737/86400, -2142929/21600, 
  837/400, -689/200, 3351/3200, 44633/28800, -3351/3200, -5681/28800, 43/120, 
  -61/80, 1/3, -11569/3600, -22337/14400, -1/3, 557/225, 3931/1800, 
  -653/4800, -21/20, -263/240, 659/240, 61/80, -629/1800, 61/80, -103/240, 
  -837/400, 4793/960, -25547/4320, 28229/3600, -76427/8640, 590203/86400, 
  -252419/28800, 358103/86400, 23999/9600, -43/450, 95543/4800, 11227/2400, 
  -1504307/86400, -43961/10800, -14737/1440, -103/240, 10723/14400, 103/240, 
  -135301/8640, 3389711/86400, -1295471/86400, 218749/5760, -1334383/43200, 
  -282737/14400, -30077/720, 1266481/28800, 1055539/86400, 1523/1600, 
  -7496483/86400, 6391837/86400, 550507/9600, -1560211/86400, -4339039/43200, 
  1029/1600, 137/600, -6157/1800, -10921/28800, 171397/28800, 1057/14400, 
  -60673/14400, 2231/28800, 29939/28800, -2501/2400, 1029/1600, 12869/4800, 
  -7999/2880, -11117/5760, 30469/9600, 8383/28800, -29939/28800, -2501/2400, 
  2257/1600, -1769/4800, -1029/1600, 56573/28800, -160019/86400, 1589/320, 
  -54953/7200, 399301/86400, -425189/43200, 79897/9600, -119641/43200, 
  596909/86400, -6371/2400, -23999/17280, 1203/1600, 3247/576, -1403/9600, 
  -493589/43200, -48913/10800, 526549/86400, 74987/21600, -9743/7200, 
  -4741/2400, 38233/14400, -650267/86400, 198241/14400, -4241/450, 3961/135, 
  -2222741/86400, 48173/4800, -108503/3200, 490837/43200, 1005787/86400, 
  -535853/86400, 398489/14400, 503123/86400, -1182773/43200, -11567/8640, 
  743/600, -17561/3600, -3795823/86400, 14027/288, -25381/3456, 
  2405893/28800, -1987471/43200, -1667737/43200, -820097/86400, 75577/3600, 
  4623/3200, 18659/7200, -124783/1440, 1044269/28800, 112259/1440, 
  -36547/14400, -2142929/43200, -91/24, -1, -3/40, 5/2, 23207/14400, 
  -697/600, -1/2, -16799/14400, -2, 199/60, 14/15, -563/800, 2179/2400, 2, 
  2/3, 8807/14400, 169/150, -61801/21600, -56503/43200, -373/60, -1849/2400, 
  4427/2400, 373/60, -3041/1800, -66301/21600, 34807/21600, 3041/1800, -1, 
  -163/120, -1, 2161/3600, 23207/14400, -7897/4800, 2, 119/60, -197/60, 
  -889/2400, 1723/3600, 2, 1/3, 163/120, 6721/3600, 8807/14400, -4471/3600, 
  -20687/5400, -23999/43200, -11/10, -4249/2400, 7139/7200, 353/60, 
  -3121/3600, -153823/43200, 66763/43200, 5891/2400, 15127/7200, -3, 1, 
  -19/5, 43/24, -23207/14400, 2411/300, 16799/14400, 5, -199/60, 43/20, 
  563/800, -979/2400, -2, -2/3, -8807/14400, 326369/12960, 572131/21600, 
  -992381/32400, 84901/7200, 224951/12960, -84542/2025, -125497/10800, 
  -73/30, 1, 13289/3600, -23207/14400, 5497/4800, 1, -119/60, 191/30, 
  889/2400, 77/3600, -2, -1/3, -8807/14400, -19771/10800, 357197/43200, 
  339329/12960, 424777/21600, -981581/32400, 611279/43200, 272009/43200, 
  -484673/12960, -232349/21600, 1/2, 121/72, -22/15, -20749/2025, -2011/7200, 
  -200701/129600, -121/72, -121/36, -11017/5400, 310841/12960, 200701/129600, 
  121/72, -890237/64800, 3/2, -121/72, 121/72, -121/72, 1026599/64800, 
  164503/129600, -121/72, -121/36, -86567/4050, 121/72, 3/2, -121/72, 
  -125497/21600, 1/2, -95/144, 95/144, -3, -211/24, -4, -23/8, 161/24, 4, 
  55/8, 37/12, 5, 6, -35/12, -8, -37/12, -2, 4, 209653/25920, -252953/16200, 
  694153/129600, 423703/129600, -269701/12960, 701057/64800, -919699/129600, 
  -701057/64800, -34399/43200, 5/36, -125497/21600, -155863/14400, 1/2, 
  -91/24, -2, 41/24, 2, 37/12, 1, 4, 25/12, -4, -37/12, -2, 2, 43/120, 
  1679021/129600, -9091/3600, 1110331/129600, -11311/7200, -216349/12960, 
  830657/64800, -883339/129600, -830657/64800, -1039661/129600, 31/36, 
  -21421/5400, -50621/4800, -13/36, 95/72, -95/36, 95/72, 53/24, 3, -83/40, 
  -13/2, -34393/14400, 503/600, 3/2, -31199/14400, -2, -281/60, 104/15, 
  7437/800, -5021/2400, 2, -16/3, -6367/1080, 8807/14400, 169/150, 
  -115061/21600, -504103/43200, 733/54, 346039/21600, -195497/21600, -841/54, 
  814/675, -15301/21600, 13207/21600, -1489/675, 49/36, -163/120, 1, 
  -5039/3600, -5593/14400, -3097/4800, 2, -121/60, 43/60, 8711/2400, 
  -5477/3600, 2, -5/3, 163/120, -32707/10800, 8807/14400, 2729/3600, 
  -11317/900, -110399/43200, 2533/540, 108439/21600, -41123/21600, -211/54, 
  21907/10800, -83023/43200, 35563/43200, -52721/21600, 20327/7200, -1, 1, 1, 
  166/45, 73/240, -2, 4, -2, -2, 2, 203/36, 95/18, -1769/180, -95/18, 197/90, 
  -203/36, 202/15, -3, 3, 95/36, 239/36, -95/36, -30709/21600, 4/3, 
  18679/1800, 61843/21600, -8807/7200, 34607/7200, -4651/3600, -8/3, 
  -8807/28800, 85007/28800, -47701/14400, -8/3, -11357/14400, -663/800, 2/3, 
  42101/7200, -2/3, 101467/86400, 6221/3456, -18887/4800, -5701/2880, 
  -8807/28800, 85007/28800, 107/24, -107/24, -47701/14400, -8/3, -85/72, 
  -11357/14400, 537/800, 107/24, 2/3, 42101/7200, -2/3, -5/36, 101467/86400, 
  -4147/3456, -18887/4800, -1381/2880, -5, -233/72, 14, 107/36, -13, 19/72, 
  4, 275/36, 467/90, -1477/72, -467/90, 75/8, -131/36, 2309/180, -749/72, 
  -59/72, 397/24, 131/72, -167/36, 1747/360, -95/36, -1097/180, 111/20, 
  -511/72, 59/36, 727/72, 30709/21600, -1, -233/72, 2, 107/36, -1, 19/72, 
  239/36, 467/90, -901/72, -407/90, 19/8, -131/36, 1949/180, 233/72, -59/72, 
  -269/72, 131/72, 1487/360, -95/36, 311/60, 253/60, 275/72, -2381/450, 
  -56923/21600, -2, -83/20, -2, 157/40, 7561/3600, 23207/7200, -1897/600, 
  -10297/4800, -16799/14400, 53/10, -47/20, -1289/1200, 9983/7200, 4, 1, 
  229/120, 10321/3600, 8807/7200, -231/80, -16061/2400, 3161/2400, -439/60, 
  -3049/1200, 1021/360, 121/10, -1523/3600, -1273/192, -46141/14400, 
  29837/7200, 30827/7200, -1/2, 89/30, -31291/5400, 751/7200, 31291/5400, 
  -18511/7200, 121/72, -1323401/64800, 6721/7200, 1984831/129600, -121/72, 
  1096421/32400, 23371/5400, -23371/5400, 3557/2400, -196919/14400, 
  8807/28800, -85007/28800, 61901/14400, 49/4, -49/4, -2749951/129600, 
  -13217/3456, 8807/28800, -85007/28800, -107/24, 107/24, 61901/14400, 49/4, 
  85/72, -3/2, -107/24, -49/4, -25/48, 121/72, -2749951/129600, -13841/3456, 
  1/2, 716171/64800, 6721/7200, -1583/120, -926303/129600, -6721/7200, 
  6383/800, -506039/129600, 11311/2400, -49/72, -790691/32400, -64439/8100, 
  365101/16200, 1281883/64800, -23/72, -1286861/32400, -672071/64800, 79/144, 
  -419749/129600, 56657/10800, 1175813/129600, 755051/21600, 6721/7200, 
  -279101/5184, -845141/32400, -3557/2400, -61471/21600, 3557/2400, -1/2, 
  716171/64800, 6721/7200, -49/10, -926303/129600, -6721/7200, -5551/2400, 
  -506039/129600, 18511/2400, 23/72, -790691/32400, -129239/8100, 
  354301/16200, 1735483/64800, -23/72, -1222061/32400, -813371/64800, 79/144, 
  133321/129600, 93151/21600, 24991/2400, 827651/21600, 6721/7200, 
  -1617337/25920, -845141/32400, -3557/2400, -23371/5400, 2917/2400, 
  -66733/4800, -1, -103/30, 2, -39/5, 23339/3600, -23207/7200, 3011/300, 
  5497/4800, 16799/14400, 6, -53/10, 511/60, 1289/1200, -2783/7200, -4, -1, 
  -851531/32400, -1, -8807/7200, 923531/32400, -19771/10800, 219797/43200, 
  332849/6480, 249227/5400, -986981/16200, -945581/32400, 224137/8640, 
  3547937/129600, -5128709/64800, -495043/21600, 1/2, -121/72, 121/72, 1/30, 
  -5023/1350, -781337/64800, -3311/7200, -856481/43200, -523679/129600, 1/2, 
  844877/129600, 435223/32400, -323/120, 11911/400, -258779/64800, 1163/800, 
  -117001/64800, -49/72, -623477/64800, -4723489/129600, 60631/4050, 
  117001/64800, -23/72, -711317/64800, -303077/129600, -2692381/129600, 
  13/36, -3129737/129600, 2939429/129600, 229303/64800, 528677/43200, 
  422173/32400, -740737/21600, -641477/64800, 156121/14400, -37/24, 
  -125497/10800, -134521/14400, 1, -1/2, 844877/129600, 435223/32400, -12/5, 
  9511/400, -388379/64800, -2011/2400, -117001/64800, 23/72, -623477/64800, 
  -3945889/129600, 76831/4050, 117001/64800, -23/72, -840917/64800, 
  -844877/129600, -2256781/129600, 13/36, -1616407/129600, 2884007/129600, 
  -7819/25920, 469877/43200, 422173/32400, -656077/21600, -641477/64800, 
  8769/1600, 131/72, -182681/21600, -168521/14400, -85/72, -1027/360, -25/8, 
  1027/360, 25/8, 47/30, 1, -101/720, -1, -1027/720, -1027/360, 25/16, 
  -25/16, -25/8, 1027/360, 25/8, 1, 151/24, 25/16, -4631/1440, 95/48, -95/48, 
  91/12, 57967/64800, -862913/64800, -23021/129600, -1, -193/72, 157/36, 
  -107/48, 91/12, -53/24, -12571/7200, -1, -207161/12960, 10/3, -71633/64800, 
  -1113167/129600, 9373/3600, -779213/64800, -11749/3600, -1, -139/12, -6, 
  -39/8, 89/12, 6, 55/8, 37/6, 6, 10, 1/6, -12, -37/6, -4, 6, -527537/64800, 
  1428443/64800, -100231/21600, 483521/32400, 44021/25920, -47309/1296, 
  765857/32400, -966319/64800, -765857/32400, -226781/10800, 1, 
  -174881/21600, -146663/7200, -37/24, -10, 1525/108, 4, -3689/108, -581/18, 
  15, 239/12, -497/54, 2069/108, 581/9, -15, -59/12, -581/18, -2773/108, 
  -3197/108, 14/9, 134/3, 244/9, -24, 3851/54, 229/6, -541/9, -715/18, 47/18, 
  40/9, 28/9, 28/9, 26/9, 728/27, 402701/10800, 249043/7200, -2, 203/18, 
  -347/18, -211/45, -1021/90, -28/27, 7477/540, -263821/10800, -46801/2400, 
  6, -6, 21/4, -29, 4, -1313/100, -43589/1200, -191443/7200, -917/540, 
  3103/900, -2, 15043/9600, 23999/28800, -407/288, 235/96, -4/3, 
  -33901/14400, -299/36, 4/3, 287/2160, -7/4, -4353/1600, -26407/7200, 
  -121/24, 29/3, 39221/7200, -4/3, -152117/4320, 190469/28800, 151721/86400, 
  14251/1600, 305783/43200, -989/540, 2203/900, -2, -1159/360, 1, 1207/360, 
  15043/9600, 23999/28800, -665/288, 235/96, 43/48, -4/3, -33901/14400, 
  -299/36, 4/3, 4013/216, -1873/2160, -7/4, -10897/432, -4353/1600, 
  -29857/7200, -95/16, 29/3, 39221/7200, -4/3, -71881/4320, 190469/28800, 
  519521/86400, 14251/1600, 142583/43200, 7, -764/135, -823/54, 15011/540, 
  2363/108, -19/2, -131/36, 2117/108, -9881/540, -2363/54, 19/2, -157/36, 
  2363/108, 2977/135, 27257/1080, 13/36, -1172/45, -8801/1080, 26, -1360/27, 
  -2117/54, 41741/1080, 1283/108, 2407/1080, -137/36, -5/6, -364111/10800, 
  -279043/7200, 5, 586/135, -607/54, -2, 6371/540, 1715/108, -19/2, -263/12, 
  1685/108, -1241/540, -1679/54, 19/2, 179/12, 1715/108, 227/36, 30197/1080, 
  13/36, -1537/270, 7519/1080, 14, -4286/135, -1469/54, 25421/1080, 3011/108, 
  -10559/360, -83/12, -43/18, 371291/10800, 48281/2400, -2, -3/20, 4, -3/40, 
  -21239/3600, -19993/7200, 503/600, -697/4800, -31199/14400, -67/10, 113/20, 
  15511/1200, -18817/7200, 4, -7, -4193/1080, -74777/10800, 8807/7200, 
  6271/2160, -451469/21600, -101117/7200, 6623/540, 227239/10800, -9671/1080, 
  -526/27, -1523/3600, -505/192, 32659/14400, -165169/21600, 7609/2400, 
  17/72, -55/18, -11/60, 1027/360, 11/60, -1027/120, -107/8, 1027/120, 107/8, 
  1027/180, 1583/120, -6713/2160, 6391/1080, 105239/21600, -23999/21600, 
  -239/80, -76/45, 1, 14527/1800, -1, -1247/144, 76/45, -2509/180, 673/240, 
  -13/108, 38513/5400, -23821/21600, -23999/21600, -4219/720, -209/150, 
  -11/60, 15127/3600, -319/240, 101/75, 28081/3600, -129751/28800, 
  -33787/9600, 1027/360, 26/3, -33/8, -145621/14400, 33/8, -1027/360, -65/8, 
  -33/8, -101071/28800, -183521/28800, -276121/14400, -49/4, -11533/3600, 
  -14711/3600, -7741/720, 19/36, 43/80, 101/75, 3697/1200, -129751/28800, 
  -19201/28800, 1027/360, 85/24, -33/8, -71821/14400, 33/8, -1027/360, -65/8, 
  -33/8, 187/360, -427/360, -101071/28800, -183521/28800, -41/8, 
  -276121/14400, -49/4, -7/6, -11533/3600, -15361/3600, -7741/720, 17/24, 
  -209/1800, -9273/3200, -517/1800, -108149/28800, 9273/3200, 43231/7200, 
  10431/3200, -47719/14400, 2/3, -189539/14400, -32731/3600, 4811/1920, 
  -64391/9600, -86/15, 3, 1261/1600, 76/15, 209/1800, 24961/9600, 
  296129/28800, -92497/28800, -264751/28800, 21363/1600, -93857/28800, 
  -481073/28800, -193939/14400, 1429/4800, 28607/14400, -1429/4800, 991/1800, 
  -9273/3200, -237/80, -74759/9600, 9273/3200, 2827/7200, 31501/1920, 
  2399/14400, 2/3, -189539/14400, -4669/3600, 31771/1920, -204247/9600, 
  -86/15, 3, -29417/4800, 76/15, -991/1800, 24961/9600, 3001/1152, 
  -57269/28800, -353971/28800, 68569/4800, -93857/28800, -30889/1152, 
  -193939/14400, 7567/14400, -3909/1600, -149/4800, 41/180, 1, -1, -1, 1, -1, 
  1, 1, -11/9, 1, 157/72, -1, 166/45, -49/72, -13/24, 13/24, 13007/14400, 
  1603/1600, 73/240, 1/2, 8807/7200, -17207/14400, -49061/14400, 1/2, 1/2, 
  1/2, -1/2, 1/2, 1/2, 13/72, -1/2, -13/72, -23207/28800, 10207/9600, 
  -13007/14400, 1/50, 2941/1600, -9269/3600, 169/400, 169/400, -16021/86400, 
  -521/216, -141599/28800, 15439/43200, 56521/8640, 34277/17280, 
  -46753/86400, -63257/14400, -35941/14400, -43/240, 1/50, 1637/900, 
  -23783/28800, -19817/28800, -4097/3600, 37/80, 2941/800, 43/240, -83/1800, 
  -16021/86400, -503/3600, -253/1440, 97243/86400, 47/1800, 14327/9600, 
  96707/28800, -2989/4800, 569/400, 1/50, -43/240, 133/320, 43/480, -1, 
  -1/25, -1803/800, -961/600, 15439/43200, 16501/8640, -52939/14400, 319/240, 
  101/225, -28081/3600, 90967/28800, -101/225, 33787/9600, -1027/360, 
  -526/75, 5993/1800, 121813/14400, -7609/1800, 1027/360, 3883/600, 
  8417/1800, -43/80, -202/225, 101/225, -3697/1200, 38941/9600, -101/225, 
  19201/28800, -1027/360, -2333/600, 5993/1800, 2339/960, -7609/1800, 
  1027/360, 3883/600, 8417/1800, -50611/259200, -101/225, 50611/259200, 
  -7609/1800, 8417/1800, -152989/388800, 30829/155520, 1027/360, 
  -9337619/388800, -152989/388800, -202/225, -45727/17280, 257807/259200, 
  -50611/259200, -7609/900, -101/225, 50611/259200, -202/225, -7609/1800, 
  8417/1800, 150961/43200, 1956949/777600, -152989/388800, 30829/155520, 
  1027/360, 45439/43200, -152989/388800, -2133059/86400, 1737229/86400, 
  2133059/86400, -5849/9600, -1275943/64800, -51667/28800, 117/20, 101/225, 
  -60259/14400, -4288897/86400, 105241/32400, 7817/900, -11233/1800, 
  2559/1600, 2/3, -419191/9600, 39349/28800, -3239/810, 6938009/388800, 
  70879/129600, 169217/4800, 1229507/28800, -4703801/194400, -88811/14400, 
  58181/97200, -526969/194400, -6003827/259200, 2037181/97200, 2441/100, 
  -43/40, -438377/57600, -83771/3456, -1597/600, 700709/43200, 2016707/86400, 
  53827/16200, -1123819/103680, -257807/259200, 140761/19200, 7819/3600, 
  101/225, -45757/4800, -4759177/86400, 160237/518400, 29659/3600, 
  -11233/1800, 120803/14400, 2/3, 20017/6400, 3078943/172800, 39349/28800, 
  -6992333/1555200, 499421/62208, 1758323/777600, 291847/14400, 
  1229507/28800, -8698547/777600, -51911/14400, 105311/172800, 
  -2342387/388800, 7721/43200, 25805719/1555200, -28097/19440, -326/225, 
  326/225, -326/225, -21393/6400, -1, 39379/19200, -25/16, -200297/57600, 
  -3371/1800, 1271/600, 3371/1800, -1271/600, -2/3, -23/24, 2/3, 23/24, -2, 
  2, -5551/21600, 8081/4320, -34901/21600, 5351/21600, 8311/3600, -2/3, 
  -16241/3600, -2, 23821/21600, -63137/10800, -5551/21600, 97099/21600, 
  -7273/1200, 18191/3600, -188311/21600, 25121/10800, -9449/3600, 
  -48577/5400, -59023/5400, -1, 1, -1, 8807/7200, -34607/7200, 1, 95/36, 
  -499/48, 595/48, -95/36, 2927/144, -5537/144, 9409/360, 4, -24197/14400, 
  -26617/28800, 10023/3200, -5291/720, -2, 196961/8640, 4301/360, 547/24, 
  -767797/21600, -431/18, 15/2, -165661/28800, 633871/86400, 174439/3600, 
  -104089/14400, -571/150, 246799/7200, 1423543/43200, -197579/21600, 
  -4093/21600, -73/240, -2, -83/20, -1/2, 1517/240, 28273/3600, 5797/1920, 
  -7123/1440, -213767/14400, -2563/1600, -4583/28800, 75821/9600, -379/3200, 
  2, 193/40, 25/8, -2557/240, -224519/14400, -25/8, 65003/14400, 20099/1440, 
  -8399/800, -4/15, 491/48, 2867/240, -4033/720, -279/80, -2389/720, 
  -1264/225, -54511/9600, 355067/14400, 160261/43200, -1590581/86400, 
  -451/144, -2/3, 36059/800, 731003/21600, -75923/1600, -4651/720, -1541/120, 
  -156571/2400, 401/80, 26627/2400, 65243/10800, -3069919/43200, 
  -318893/21600, 2822921/43200, -4251/400, -1181683/43200, 1417399/10800, 
  297199/4320, 3517543/43200, -291773/14400, -2053843/43200, -3790933/43200, 
  -159131/14400, -115/48, -1/2, -4339/1800, 5797/1920, -1193/3200, 
  -2563/1600, 1907/1440, 2, 31/240, 25/8, -403/60, -68699/14400, -25/8, 
  -30101/7200, 11279/1440, -7031/1600, -4/15, 325/48, 2867/240, -1543/720, 
  -279/80, 355/48, 397/200, 2, 7549/1800, -44681/3200, -44911/9600, 
  861763/86400, 668359/86400, -2399/21600, -143/144, -2869/80, -2/3, 
  40147/2880, 609953/21600, -36781/1440, 16699/720, -1541/120, -401213/7200, 
  401/80, 903/200, 14009/4800, 54443/10800, 131503/14400, -387227/43200, 
  120157/10800, 348151/7200, -674983/43200, 1003819/10800, 241159/4320, 
  665879/43200, -60839/2160, -164203/14400, -299909/4800, 18097/1728, 2, 
  -203/36, 155/36, 4/3, -1, -1913/600, 1589/1800, -83443/21600, 6301/1080, 
  61843/21600, 107/24, -107/24, -107/24, 107/24, -8807/9600, 17807/9600, 
  -701/72, 4/3, -4/3, 375217/14400, -4/3, -91/12, 49/72, 5977/5400, 
  -61387/43200, 65881/21600, 8917/900, 2/3, -311959/7200, 91/24, 42617/3600, 
  -12391/9600, -416609/86400, 1267187/43200, 65809/4800, 8807/7200, 
  -60407/14400, -34607/14400, -187/48, 187/16, -3043/120, 5/4, -3673/14400, 
  3673/4800, -421883/43200, -141139/86400, -1657/360, -3313/17280, 
  43891/43200, 1501/144, 334033/10800, 4/3, 11/15, 1440287/259200, 
  -1440287/86400, -192221/57600, -120809/9600, 2380181/28800, -217/600, 
  -796019/43200, 209711/4800, 3143/540, 68413/21600, -19009/6480, -409/270, 
  -4/3, -2563/540, -5729/16200, 33679/9600, 4/3, -33017/21600, 117457/5400, 
  -49663/21600, 519077/28800, -489961/28800, -127187/9600, 1919/2160, 91/144, 
  -3617/324, 56527/14400, 293/144, 1117897/43200, -38317/2880, -18989/1600, 
  -734/135, 20051/2160, -13333/2160, 21727/21600, -1847/2160, 5233/1296, 
  -53461/10800, 3527/2400, 1548917/43200, 65891/86400, -348481/9600, 
  5161/6480, -8/3, -805543/21600, 143207/14400, 13859/1200, 11579/2160, 
  1067/90, 92203/4320, -52927/2160, 41837/21600, -362243/86400, 
  -4298933/43200, -3744347/518400, 20464327/172800, 1452029/43200, 
  1409093/86400, 1571147/129600, -312659/7200, 252533/8100, 537851/86400, 
  -31225/432, 5419781/259200, 70877/1600, -295/162, -409/270, -4/3, 
  57743/32400, 72079/9600, 4/3, 257947/86400, -136063/21600, -21529/14400, 
  62/135, 91/144, 4739/1620, 45007/14400, 293/144, 134699/21600, -34777/2880, 
  -31687/3600, -734/135, 19391/2160, -13333/2160, -103973/21600, -1847/2160, 
  295/162, 923/675, -4/3, 8917/5400, 678811/86400, 13127/2400, -112903/17280, 
  -90629/5760, -55823/43200, -269/648, -167/360, -8/3, -3351/1600, 
  125507/14400, -167777/7200, -4567/720, 1067/90, 117343/4320, -52927/2160, 
  -6937/2700, 1523/450, -362243/86400, -260419/43200, -3774623/518400, 
  -33869/4800, 43577/2700, 1409093/86400, 10180423/129600, -312659/7200, 
  -13859/12960, 3391/300, 3409387/172800, 1325567/259200, 325373/43200, -1/4, 
  -1, 10935161/129600, 3510881/129600, 97/48, 107/48, 487/80, 
  -15015211/129600, -3510881/129600, -73/48, -289/48, 1303/240, 81601/2592, 
  91/24, -631/60, -7/10, 4221833/194400, -15892321/388800, -216629/17280, 
  48439/32400, -12772273/388800, 107/48, 43166899/388800, -4666717/388800, 
  226279/16200, -289/48, -4042813/64800, 91/24, -2393483/777600, 
  -5579587/388800, 4264583/194400, -2429/1350, -257099/31104, 5123047/194400, 
  -12943273/388800, 417941/9720, 254479/16200, -13321421/1166400, 
  -5750587/388800, 28999759/583200, 5310763/194400, -19999153/2332800, 
  1027/360, 33/8, -1027/360, -33/8, -720551/25920, -4152247/259200, 23/48, 
  121547/25920, -55/18, 6154841/259200, 2157451/43200, -371/48, 
  -2693693/129600, 371/36, -57079/28800, -635773/17280, 1412699/64800, 
  93017/32400, -1/4, 1291/720, 97/48, 79/72, -103/240, -73/48, -503/48, 
  91/24, 83/30, -3761/720, 326531/48600, -2, -144659/32400, -10906033/388800, 
  3193/240, 648251/21600, 2807/360, -519/40, -6674129/777600, -553943/14400, 
  252584/6075, 3724907/129600, -409433/16200, -6294541/583200, 5965553/97200, 
  1837541/64800, 5353567/259200, -1823/720, -2347/1800, -24/5, -5263/1080, 
  272623/86400, -1377/400, 22489/10800, 26627/5400, -28557/3200, -9497/1200, 
  -89/120, 11/60, 887/144, 586921/43200, 1343/120, 342653/43200, 1693/10800, 
  9497/1200, 407/180, -91/20, -4813/360, -54947/10800, 98/45, -441137/129600, 
  592313/388800, -20063111/388800, -1, 915863/25920, -5717461/777600, 
  -5861813/777600, 52713727/259200, 25994881/259200, -663971/43200, 
  189269/129600, 8282351/388800, -7/6, -8086669/388800, -5596243/194400, 
  -5157391/38880, -36287/64800, 5801/360, 1317923/64800, -4141/360, 
  -2352883/77760, -4393/25920, 7321789/388800, -41139439/194400, 
  -12140167/259200, -3511201/388800, 801461/21600, 421097/97200, 
  24880093/194400, -2167693/64800, 51695897/2332800, -4501663/388800, 
  58777307/1166400, 2745707/97200, -10987309/2332800, -164/45, -2347/1800, 
  -30433/10800, 186223/86400, -364303/86400, 32027/5400, -5839/900, -5/16, 
  11/60, 49/18, 230881/43200, 1343/120, 34631/10800, -379/1350, 5839/900, 
  407/180, -317/120, -4813/360, -30511/5400, 98/45, 163/180, 4659173/388800, 
  -20063111/388800, -1, 28363/21600, 33781723/388800, -6639413/777600, 
  161521/28800, 17249671/129600, 44893/10800, -50105/5184, 11454311/388800, 
  -7/6, -2184287/77760, -5780113/194400, -5584249/38880, -842327/64800, 
  5801/360, 1777013/64800, -4141/360, -718457/43200, 545693/32400, 
  7321789/388800, -59398229/777600, -10517179/129600, -5141633/77760, 
  -289817/43200, 293093/24300, 65302793/388800, -2973733/64800, 
  11909293/466560, -1129301/194400, 4281251/46656, -1854391/388800, 
  -25643107/2332800, 4, 265/12, -32/3, -23999/14400, -167/18, -73961/720, 
  53083/720, -1051/960, 95/18, 284993/2160, -182243/1080, 7321/2400, 
  22663/216, 46991/2160, -121/2, -33383279/388800, -218339/864, 1977/8, 
  103460267/388800, 1961951/21600, 24961/120, -60131/120, -90817/3600, 
  457249/1080, 57845377/129600, 2684635081/2332800, 935471/32400, 96023/540, 
  -468080957/388800, -2133172133/1166400, 31608137/21600, 993622187/583200, 
  -730335079/388800, -5324320369/1555200, 57829562/18225, 6081330397/1555200, 
  -989/540, 83/720, -2, -379/432, 439/1200, 4, 9691/480, -158281/28800, 
  -49971/3200, -9553/1440, 791/480, 22691/1200, -381/80, -158311/14400, 2, 
  -425/144, 835/144, -2, 837329/86400, 1880911/97200, 25/3, -2895383/777600, 
  23/4, 17355571/259200, -2802463/129600, -770071/17280, -23871/200, 
  -14519/180, 40133471/259200, 663/16, -200577/3200, 45547/432, -4873/72, 
  -1472543777/2332800, 27415561/388800, 5/4, 4936469851/4665600, 
  -9147391/129600, -149718473/388800, 65324543/259200, -3653/48, 
  -2547521/8640, 4969/72, -6976799317/4665600, 1188037/16200, 
  2377572679/1555200, 26086621/86400, -1768168517/1555200, 2, 7787/1440, 
  -7751/1080, -217/24, -27023/4320, 5078927/345600, 12162607/777600, 4/3, 
  -6107/2880, -41222311/1036800, -235117/48600, 150341/57600, 2580323/129600, 
  23999/14400, -311/36, 21979/2160, 13873/288, 126203/8640, -520141/21600, 
  -5711/180, 10694203/345600, 4348259/388800, -1219219/64800, 275/18, 
  -50719/864, 16211/4320, 154877/2160, -16237/1728, -347/36, -43789/1080, 
  -47/10, 23769859/207360, -2455001/97200, 137/8, -40218577/1036800, 
  -383663827/2332800, 29321189/777600, 32643227/518400, 258380737/9331200, 
  -4620449/172800, 6829/108, -14993737/259200, -465/16, 2903611/11520, 
  13616/405, -923973271/9331200, -127817/2160, 18221/240, -19169011/129600, 
  -25523/270, 6481537/1036800, 4016602873/9331200, -3907753/25920, 
  815346133/4665600, -6684842747/9331200, -73489901/1555200, 
  -87181061/345600, 102179909/777600, 282707141/388800, -16912399/64800, 
  -2953917263/4665600, 204722833/194400, 3708905527/3110400, 
  -9881926097/9331200, -443936771/345600, -2, 83/40, 317/120, 6809/2160, 
  -1673/135, -223729/28800, 4, 2771/480, 1349/64, -48373/28800, -102721/9600, 
  -392513/28800, 27599/7200, 2, -1907/240, -257/120, 20197/4320, 
  453439/14400, -327/80, -360221/14400, -53167/2880, 64703/4800, 1369/240, 
  -771/80, 283/36, 64003/3600, -5597/720, -7081/2160, -41375833/518400, 
  89797/3888, 105/8, 19610519/259200, 227854211/1036800, 5400487/777600, 
  -11823193/259200, -105712559/1036800, -734419/172800, 17767/288, 
  4846843/259200, -175/2, -26556233/103680, -113641969/777600, 1056809/12800, 
  67567/4320, 2638/15, 15853501/129600, -90769/720, -2866571/11520, 
  -3545701841/9331200, -5700203/86400, 853643587/3110400, 2355424469/9331200, 
  -143047139/1555200, 181971521/518400, 152173457/388800, -124118141/2332800, 
  -58459333/129600, -8133095639/9331200, -5046779/57600, 3836072863/3110400, 
  -3537000709/9331200, -443522563/345600, -163/240, 197/120, -6811/1080, 
  -194929/28800, 4, 219481/9600, -105973/28800, -430669/28800, 2, -263/48, 
  -257/120, -989/270, 392149/14400, -327/80, -5461/288, -44803/2880, 
  258533/14400, 1369/240, -2383/180, 283/36, 15187/900, -5597/720, -361/270, 
  -52304809/518400, 42817/3888, 105/8, 8779/720, 25140559/115200, 
  -2375513/777600, -117649/2400, -25211417/345600, 2059147/57600, 3021/80, 
  28450423/259200, -175/2, -122216651/518400, -136237729/777600, 
  15617053/115200, -43883/480, 2638/15, 22576141/129600, -90769/720, 
  97447217/518400, -4081369097/9331200, -5354603/86400, -592984309/1036800, 
  3144468869/9331200, 1968977/6912, -965209/103680, 175153157/388800, 
  96890417/466560, -65237593/129600, 3104489827/9331200, -94329077/518400, 
  -193624823/622080, -5929462393/9331200, -59733781/622080, 65843/28800, 
  8137/1440, 96079/14400, -65843/28800, -112727/28800, -5827/800, 
  19201/28800, -8/5, 475391/43200, 203521/43200, -30403/9600, 64309/9600, 
  224/45, -2, -20867/4800, -152/45, 25121/10800, -3397/1080, -332123/86400, 
  -25121/10800, 510533/86400, 279281/86400, 50891/28800, -40477/5400, 
  -482699/43200, 865961/86400, 203807/28800, 56/45, 70039/4800, 
  -143167/10800, -390983/43200, 143167/10800, 18953/1728, 5069/675, 
  25121/10800, 24661/8640, -33757/5400, 114761/10800, -114761/10800, 
  -14737/1350, -73/240, 43/120, 10981/7200, 1559/900, -16043/7200, 
  -186941/43200, -464563/86400, 38663/7200, -292711/86400, 8533/2160, -2, 
  2047/432, -169/120, -20723/3600, -7/9, 7543/1200, 56917/14400, 7/9, 
  -122303/43200, 344/135, -2047/432, 29/16, 659/144, -2347/720, 8/15, 
  -4679/720, -61/80, -59/45, -817/1440, 1559/900, -19057/8640, -464563/86400, 
  197729/86400, 8533/2160, -2089/2160, -43/120, -8989/1800, -7/9, 46/25, 
  164737/14400, 7/9, -114683/43200, -3079/540, 2089/2160, 21/20, 659/144, 
  -208/45, 8/15, 1261/720, -61/80, -59/45, 13609/7200, -8719/1600, 
  -15349/4800, 31969/5400, 164377/43200, 785/72, 1387/180, 13211/1440, 61/80, 
  -31703/3600, 305/24, 977/120, -61/80, -1669/180, 491639/21600, 
  -65371/17280, -216173/9600, 154259/43200, 5509/2700, 128569/14400, 
  -26621/7200, 37573/1728, -36821/86400, -36451/86400, 11579/14400, 
  5909/4800, -34693/64800, -310739/51840, 34693/64800, 167/1152, 
  657953/129600, 13007/14400, 1859/600, -502/75, -2387/7200, 251557/32400, 
  255617/43200, 664501/129600, -1859/600, -1151/1440, 36553/7200, 
  -13871/4320, -220409/21600, -18319/3600, -1121/6480, -94897/28800, 
  -602057/129600, 3759/3200, -564497/64800, -98363/21600, 35153/3600, 
  4783739/172800, 888791/86400, 155641/28800, -3967979/259200, 8845/864, 
  -2935339/259200, -4339/21600, -26887/5400, -27553/4320, 1849/1440, 
  15301/21600, -34693/64800, 5711/1728, -324191/51840, 34693/64800, 
  -84643/86400, 599777/129600, 221/900, 10879/7200, -502/75, 215/288, 
  2113/400, 251557/32400, 41933/43200, 116653/129600, -221/900, -1151/1440, 
  -7547/7200, -13871/4320, -23881/4320, -18319/3600, -1121/6480, 
  -169657/11520, -94897/28800, -2095441/259200, 6616861/518400, 
  179921/129600, -8701/900, -564497/64800, 11869/3840, 26059/3600, 
  -169291/57600, 4513/240, -98363/21600, -26059/3600, 35153/3600, 
  2971967/172800, 4783739/172800, 263707/777600, 27101/57600, 5072921/777600, 
  -44747/19200, -3967979/259200, 42737/9600, 11059/864, -5881369/155520, 
  -758861/51840, 6304063/259200, -1614737/172800, -6266159/194400, 
  -18451/7200, -1109/900, 220247/43200, 357949/86400, -197269/28800, 
  -117349/43200, 47063/7200, -16787/86400, -192031/86400, 12893/3600, 257/72, 
  -18451/7200, -76133/14400, -233/36, 109541/43200, 106657/86400, 209/72, 
  -14909/3456, 40709/86400, 75011/17280, 443/720, 12893/3600, 781/180, 
  -6817/14400, -1189/240, -8951/2880, 443/720, -443/720, 5207/720, 
  11293/2880, 150517/34560, 1, -76441/7200, -4530329/345600, -41713/3840, -1, 
  1892057/115200, 3090259/345600, 362029/43200, -6228079/345600, 
  -323593/172800, 430429/86400, -473789/28800, -2838761/57600, -1817/144, 
  55081/2880, 3663847/38400, 1769/144, -9121891/345600, -14652041/345600, 
  2798263/345600, 907259/28800, 12929/320, -1112363/19200, -59461/2880, 
  429263/11520, -79751/2880, 4547/320, 2572387/172800, -2908933/345600, 
  155011/7680, -2677921/115200, 1171561/172800, -1178341/69120, 
  2261381/69120, -7147/2160, -1461581/69120, 187853/3200, -23559029/345600, 
  -1, -1428859/38400, 552979/8640, -3263273/86400, 636311/34560, 3681/320, 
  -181099/3200, -39151/2880, 14206511/172800, -3950171/38400, 2564521/345600, 
  -40102999/345600, 1002661/14400, 407611/7680, 3376303/43200, 
  -2657593/115200, 4342117/345600, 2582197/172800, 2876641/17280, 
  -1262063/34560, -3357209/34560, -162959/28800, 2129789/43200, 10981/7200, 
  1559/900, -65353/8640, -187043/43200, 242339/21600, 307987/86400, 
  -163139/28800, -619/640, 41819/86400, -20723/3600, -4/9, 10981/7200, 
  6751/900, 8/9, -260879/43200, -162437/21600, -4/9, 223799/43200, 
  507811/86400, -41819/86400, 1253/360, -4673/3600, -503/360, 1073/240, 
  -25/12, -19523/43200, -44/45, -139/72, -43/36, 517/2880, -639197/172800, 
  13609/1440, -39137/12800, 1680521/259200, -852779/69120, 3442019/518400, 
  -62597/25920, 196837/21600, -24041/12960, -23999/17280, 63863/9600, 
  3110771/172800, -2/9, -50149/9600, -3699341/345600, 4/9, -547957/345600, 
  -258391/25920, 67813/259200, -307139/28800, -4909/2880, -1704499/172800, 
  107/36, -70817/21600, 2609/960, 91/36, -1235731/172800, 5850709/345600, 
  -15411007/1036800, 2456417/69120, -497857/20736, 34753/3240, 
  -38341679/1036800, 1269/160, 1005787/86400, -305663/14400, 12233063/345600, 
  -2453089/345600, -1520927/129600, -10273/64800, 197531/34560, -2/9, 
  831/100, 5/72, -110073/1600, 37006039/518400, -25381/3456, 17529173/172800, 
  -5722219/129600, -1667737/43200, -290171/21600, 5954999/259200, 
  12733/12960, -488183/43200, -27565/216, 1044269/28800, 112259/1440, 
  -277363/32400, -673081/14400, 10981/7200, 3253/1800, -79393/8640, 
  -228259/43200, 87839/8640, 21251/2880, -37837/7200, -145909/21600, 
  59453/21600, -3341/1200, -133/60, 10981/7200, 5699/600, 329/40, 
  -331079/43200, -319583/43200, -152/15, 27029/10800, 41539/7200, 
  -59453/21600, 61/120, -3341/1200, -1649/360, 3533/720, 1079/90, 5323/5400, 
  61/120, -167/90, -23/18, -411571/194400, -6928999/518400, -2/3, 8713/900, 
  6520183/1036800, 2686967/103680, 2/3, -5551079/345600, 65300743/1036800, 
  1092677/64800, 1998431/345600, -95923447/1555200, -97463/21600, 56063/9600, 
  6099719/311040, 203/180, -922549/77760, -46002439/622080, 1333/720, 
  33148327/3110400, 27729589/3110400, 204719389/3110400, -805217/86400, 
  2077/1728, 1885193/103680, -28277/8640, -19727969/1555200, -2909/2880, 
  22079/8640, -1802419/172800, 191940751/9331200, -55832053/1866240, -2/3, 
  94892867/3110400, -123518257/4665600, -318986329/9331200, 
  -35040841/3110400, 160648639/2332800, 66739279/1036800, -3411941/259200, 
  551561591/9331200, 1421/240, -210233311/9331200, 1344271/233280, 
  -102243697/1166400, -16865771/1555200, -45947/8640, 2552407/259200, 
  20953/8640, -330250351/4665600, 1029464569/9331200, -131410199/9331200, 
  127270001/1866240, -19178279/466560, -1139739701/9331200, -387676/18225, 
  244575521/9331200, 106766449/9331200, 14272127/1555200, -56359237/349920, 
  26281429/311040, 56283247/559872, 6946523/1166400, -689167559/6998400, 
  -11251/7200, -8681/3600, 92293/14400, 674461/86400, 2, -114403/28800, 
  -382649/43200, -4, -81307/4320, 3391/400, 11579/720, 12893/3600, 397/360, 
  -73313/21600, -78443/14400, -5389/1440, 92353/43200, -445331/86400, 
  1381/240, 1585877/86400, 3029/3600, -11579/720, -83/144, -21979/7200, 
  12707/1440, 12197/960, -7271/720, -8387/900, -127/36, 751/90, -23/54, 
  -5725637/64800, -25782607/1555200, 25/24, -3149/1350, 135703931/518400, 
  3651127/388800, -105/8, -9961489/345600, -160910011/518400, 424913/43200, 
  3766363/57600, 100438247/1036800, -2087941/57600, 2461873/86400, 
  90883973/518400, 4547/288, -21832087/129600, -68907173/207360, 9937/240, 
  42158911/129600, 45436759/259200, -152128949/1036800, -181149/3200, 
  -169259/8640, 102785411/518400, -5343/80, -46123277/259200, -35477/1728, 
  4597/72, 93732389/518400, 92059879/1166400, -242051231/3110400, 137/8, 
  -22355807/32400, 347204227/9331200, 32807911/259200, 423788531/518400, 
  -4110209/32400, -7990339/28800, -55242121/129600, 41901313/345600, 
  -1459/48, 512868823/622080, -5122363/14400, -1292219801/3110400, 
  -9515609/172800, 21679/360, 19050643/64800, -8743/120, -11206763/622080, 
  5970993389/9331200, -28164121/259200, -845360411/3110400, 
  -2833119121/3110400, 2000809/7680, -3951181277/3110400, 9633899/259200, 
  1198079753/622080, -39760007/259200, -1250986889/1555200, 659139163/777600, 
  52888301/43200, -4265955461/3110400, -110250617/115200, -1029/1600, 
  -137/600, 1531/576, -14023/28800, -215209/86400, 170837/86400, -131/17280, 
  -1363/1080, 2089/4320, 2501/2400, -1029/1600, 2839/14400, 2/9, 14507/7200, 
  -4921/1152, -2/9, -1645/3456, 3619/1080, -2089/4320, 2501/2400, -1253/720, 
  21133/14400, 157/80, -94/45, -1253/720, 1029/1600, -56573/28800, 
  160019/86400, -2189/450, 235649/28800, -133967/86400, 297449/43200, 
  -1317821/172800, -17491/28800, -202301/57600, -5929/3600, -1387/360, 
  -1203/1600, -3247/576, -48349/9600, 5921/17280, 751517/86400, 76531/19200, 
  -22967/2304, 9743/7200, 122627/14400, 103/480, -262369/28800, -103/480, 
  650267/86400, -198241/14400, 4241/450, -79711/2400, 1496779/172800, 
  -438757/172800, 513343/19200, 38099/43200, -305879/57600, 535853/86400, 
  -398489/14400, 99893/10800, 911921/172800, -53359/6400, -743/600, 
  141787/28800, 3795823/86400, -14027/288, 25381/3456, -1491901/28800, 
  398717/43200, 921799/86400, 820097/86400, -75577/3600, 553607/86400, 
  -18659/7200, 124783/1440, -1044269/28800, -1224841/43200, 36547/14400, 
  2142929/43200, 2941/2400, 49/100, -27671/5760, -33241/57600, 343061/57600, 
  5017/57600, -3043/1280, -129/160, -781/400, 7019/3600, 91297/28800, 
  -100703/28800, -20441/19200, 2723/1280, 49/48, 103/480, -15013/7200, 
  -103/480, 20953/28800, -103/480, 103/480, -2941/2400, 7697/14400, 
  -26941/17280, 50561/9600, -121799/172800, 80563/43200, -34243/6400, 
  -11093/86400, 22103/14400, 12341/7200, 20827/4800, -931/400, 
  -317341/172800, -206909/172800, -1333/1200, -12341/3200, -274669/43200, 
  503389/86400, -534041/86400, 148489/10800, -721999/172800, -355061/57600, 
  -2827/960, 187229/10800, -39373/9600, 7663/2400, -67267/2160, 
  2560139/86400, 684833/28800, 48667/43200, -1919977/43200, 10981/14400, 
  30433/21600, -1121/12960, -120691/43200, -1596667/259200, 1121/6480, 
  191893/86400, 1048873/129600, -1121/12960, 4801/5400, -34651/10368, 
  -10357/9600, -3341/2400, -82969/21600, 10981/14400, 6691/1728, 
  492209/64800, -21937/10800, -285179/51840, -121651/32400, 16397/86400, 
  783073/259200, 10357/9600, 61/240, -3341/2400, -93949/21600, 46271/43200, 
  88459/21600, 13867/43200, 61/240, -61/240, -2657/4800, 104153/19200, 
  1960243/86400, -1121/6480, 21539/2880, -157769/4320, -4363703/86400, 
  1121/6480, -386491/21600, 26239579/518400, 120173/4320, 128167/9600, 
  -1011943/51840, -205883/86400, -21893/9600, -419411/19200, -535409/64800, 
  25803/3200, 5750977/57600, 535409/64800, -1154521/259200, -2194249/28800, 
  -32251/129600, 40717/3200, 233449/21600, -221497/5760, -219049/21600, 
  31609/1600, -1451/240, 61/240, -1543897/172800, 162311/43200, 
  1216163/57600, 478921/21600, -1190839/259200, -4706171/172800, 
  -883711/103680, 301699/64800, -552433/129600, -3219727/172800, 
  103483/64800, 32913833/1555200, 15759077/259200, -1857893/155520, 
  8479/5400, -271747/21600, -19762289/311040, 451483/19440, -25121/10800, 
  126508231/1555200, 1822399/155520, -6257737/259200, -30308531/1555200, 
  4243/432, 8571683/388800, -40477/5400, -3013927/43200, 59023/5400, 
  665021/21600, -59023/5400, 2, -605/72, 10/3, 2442383/12960, 4891/1440, 
  3757531/25920, -203/36, 415/36, 21631/1080, -297161/2592, -309277/25920, 
  203/36, 715709/12960, -13/3, 461/72, -605/72, 245/72, -1415467/6480, 
  -164503/25920, -13867/1080, 605/36, 168859/1620, -856037/12960, 
  -11231/1440, 605/72, 125497/4320, -873761/8640, -588479/25920, 4, 965/72, 
  -253/24, -157441/1296, -4, 13/24, 1539581/16200, 20207/3600, -641/36, 
  535/48, 38, 52/3, -3274543/32400, -52/3, 70/9, -854671/12960, 5, 
  -148717/2592, -1291081/12960, -377461/25920, 187649/2592, -50/3, 17321/81, 
  22/3, 3176227/25920, 303/80, 20411/1440, -4433779/32400, -641989/129600, 
  -989/135, 10751/540, 929/36, -21823/360, -8813/120, 131/18, -18431/270, 
  166331/900, 253519/1350, 458083/2700, 213899/1350, -180013/2700, 9307/540, 
  1500539/5400, 2800583/10800, -217753/1080, 632707/10800, 81881/360, 
  2339/135, -16729/540, 785/36, -293/5, 236159/1080, 34, 5201/120, -8923/120, 
  3779/90, -356/3, -12, 11089/270, 2149/60, -2133491/5400, 215719/1350, 
  -6023/216, 201601/1800, -428233/2700, 327299/1350, 33689/300, -32453/540, 
  -68623/300, 479689/3600, 1893509/5400, -447119/3600, -452473/1200, 
  11797/5760, 34075/3456, 15517/720, 330377/28800, -1464109/86400, -37/2880, 
  -152021/14400, 1485959/21600, 22011/400, -1, -7501/14400, 1, -807757/43200, 
  7501/14400, 807757/43200, 611/48, -41309/3456, -563/48, 27091/2400, 
  -3503/144, 419/36, 271217/86400, 184403/7200, 183007/86400, -854383/28800, 
  -1010381/21600, -1291/1600, 1153199/43200, -53/1600, -95/72, -1, 2, -1, -1, 
  1, 203/72, 95/36, -259/180, -95/36, -655/1152, -203/72, 279479/17280, 
  15517/720, -3/2, 3/2, 330377/28800, 95/72, -1161469/86400, -1279/960, 
  -152021/14400, 1485959/21600, 22011/400, -7/2, -89413/10800, 40789/14400, 
  -5081/10800, 97543/8640, -40789/14400, 104873/14400, -130063/43200, 
  -28619/8640, 121/15, 626537/21600, 610327/28800, -1668583/86400, 
  -47473/2880, -161/720, -5/6, 1295071/86400, 733/240, 51461/3600, 
  -1665827/86400, -154973/2700, 1405157/86400, 1053607/21600, -58957/1350, 
  801329/86400, 1072583/17280, -181379/10800, -1460341/43200, 459589/28800, 
  20641/480, 140897/5400, -11/2, -7939/900, 26389/14400, 397/80, 
  401639/21600, -26389/14400, -6097/1200, -395963/21600, 3371/600, 923/90, 
  879887/21600, -47893/2700, -3751183/86400, 405373/14400, -4723/180, -5/6, 
  3602191/86400, 733/240, 7489/900, -138421/8640, -12593/800, 18401/1080, 
  122381/5760, -70729/800, 801329/86400, 5349217/86400, -166979/10800, 
  -277351/21600, 205457/9600, 43759/800, 32807/1080, -326/225, 2114423/43200, 
  -891233/86400, 177/16, 783193/21600, 2191441/259200, -5251/400, 
  -28451/3600, 991/72, -8318903/86400, 10312819/259200, 690113/64800, 
  -1257131/28800, -636587/38880, 2079437/43200, -14607749/777600, 
  13020659/777600, 4965851/388800, -2126927/48600, -326/225, 418123/8640, 
  865141/21600, -115751/17280, 177/16, 1139959/21600, -19207/51840, 
  -5251/400, -12547/720, 991/72, -8202551/86400, -19654969/129600, 
  -39839/10800, -1282987/28800, 789211/38880, 1463429/43200, 4780817/38880, 
  28929913/777600, -40837/972, -2085271/77760, -1/2, 605/72, 121/72, -605/36, 
  -121/72, 89/30, -1323401/64800, 1096421/32400, 95737/21600, 2176909/129600, 
  -149017/21600, -1, -965/72, 641/36, -535/48, 1709/5400, 536353/16200, -1, 
  -8893/2400, -2/3, 2, -14873/64800, -4649/1800, -73/40, -3203639/129600, 
  5623/270, -905831/32400, -11069/400, 3539/45, -719209/7200, -557533/7200, 
  -7191121/129600, 142673/14400, 8039/180, 948913/8100, -1811711/64800, 
  -7032473/64800, -3924841/43200, -239/72, 3742301/32400, 2139197/21600, 
  1930273/64800, -13507/1800, -1071073/21600, 453623/3240, 548879/8100, 
  -1095827/10800, -2964319/32400, 196913/1080, 357911/8100, 7414799/32400, 
  122231/4320, -1194731/64800, -564821/8100, -5030063/43200, -4273/270, 
  742969/32400, -9469/400, -272/45, 818317/16200, -964009/7200, 56791/1440, 
  -7852897/43200, -49367/4800, -593/10, 478169/4050, 7044001/64800, 
  657127/64800, 3617969/129600, 383/24, -696499/32400, -249083/4320, 
  9978209/64800, 36893/1800, 14297243/64800, 6356837/16200, -54493/5400, 
  -23411/432, -5772319/32400, -653821/3240, 1435211/8100, -4202767/10800, 
  -110381/1440, -290659/7200, 10343761/32400, 245587/2400, 46033/8640, 
  -44719/17280, -226901/43200, -8807/7200, 43/12, 34607/7200, 8/3, 
  -125437/28800, -120841/10368, -169/18, -1789919/129600, -7099/1080, 
  -3673/7200, 8063/2400, 722557/86400, -161/28800, -33166651/518400, 
  2948999/64800, 1440287/129600, 1388063/172800, 3059801/518400, 
  -209711/7200, -27677/7200, -8807/7200, -652967/43200, 3872/225, 
  652967/43200, 1, 8/3, 477739/12960, 230963/28800, -4819751/86400, 76/45, 
  -169/18, -3396599/129600, -7099/1080, 9997/3600, -3673/7200, -675737/43200, 
  348503/43200, 11315/1728, 652271/64800, -161/28800, -2930891/57600, 
  2948999/64800, -20431/10800, 1440287/129600, 337363/172800, 3059801/518400, 
  -222503/14400, 46907/7200, -367/600, 8807/14400, -43/160, 73703/2400, 
  -223/600, 8807/7200, -34607/7200, 8201/3600, 49/4, 101/225, 7609/1800, 
  -30467/1800, 55739/28800, -1428899/64800, -85081/43200, 2, -1525/1152, 
  -419/120, 16011119/259200, 2897/28800, -9779/2880, -2469313/43200, 
  2815/576, -265/72, -4194961/51840, 101/75, -20753999/259200, 2093111/64800, 
  22126309/259200, 11431/600, -14857/1800, -6049631/129600, -6017/1800, 
  -4095511/51840, -21196489/388800, 483/320, 56321/864, 1061081/17280, 
  172321/14400, 7605101/51840, -4380139/129600, -186364271/777600, 
  10481/4800, -19184461/388800, -1194329/194400, -25427/432, 53553997/388800, 
  1180009/21600, -129/80, -15601387/259200, 659/28800, -7411/1200, 
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  546107/28800, -21034709/259200, 101/75, -11869153/86400, 349603/12960, 
  15555403/129600, 20251/1800, -14857/1800, -5154959/129600, -6017/1800, 
  2726207/51840, -11099479/155520, 28199/14400, -18825197/259200, 
  5595787/64800, 7022297/388800, 49409231/259200, -3832291/129600, 
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  95/216, -95/216, -95/432, 25661/10368, -163559/8640, -25661/10368, 
  163559/8640, 95/216, 463697/25920, -25661/10368, -95/108, 1349/1296, 
  95/216, -95/108, -463697/25920, 95/108, 95/216, 1027/180, 33/4, -1027/180, 
  -33/4, -3149/720, 25661/10368, -193883/8640, 475/432, 577061/25920, 
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  26056457/518400, 15181/360, 42111971/1555200, 710391887/3110400, 
  41919349/1555200, 390682079/1555200, -11027/129600, 100066171/777600, 
  66628853/777600, -170377/3840, -385335847/4665600, -929567/259200, 
  -175627/2700, 1, 44347703/345600, 99795073/345600, -6414493/172800, 
  26239909/172800, -5267899/259200, 12650837/345600, 38950913/345600, 19/3, 
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  13690819/1036800, 574765223/2332800, -272/15, 1186993/43200, -175627/2700, 
  1, 48193/1800, 102205963/345600, -6241693/172800, 26795239/172800, 
  -4898179/259200, 131293/10800, 38950913/345600, 19/3, -199303039/1036800, 
  5181097/86400, 4898179/259200, -88395839/1036800, -10879/720, 
  -4120501/172800, 5599/720, -1124783/25920, -17388643/69120, 
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  712111783/3110400, -919908359/3110400, -2105640149/3110400, 
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  -624979/129600, -29/360, 3557/2400, 15/4, 33/16, 23380361/518400, 
  -18511/2880, 343681/5184, -5, -101/450, -4671089/57600, -21117671/259200, 
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  21183641/172800, 346995587/1555200, -18115541/518400, 247499531/1555200, 
  82155493/259200, -243891287/1555200, -1481/480, -5835089/259200, -551/450, 
  -18481/7200, 271643/16200, 23380361/518400, 202019/129600, 343681/5184, 
  -677/300, -25/16, -101/450, -9681389/103680, -21117671/259200, 
  -343681/5184, 10033/3600, -7609/3600, 18854981/518400, 8417/3600, 
  6085937/259200, 1284559/25920, -22347971/259200, -11444551/311040, 
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  1657829/3600, -366905333/1555200, -82347571/259200, 1028800403/3110400, 
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  -25578714269/6998400, 772386893/414720, -1439808499/933120, 
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  -46638533/1555200, 1067921/19440, -246714641/1555200, -17006353/388800, 
  -44105597/259200, 12589/216, -51647761/777600, 85741253/1555200, 
  182491823/777600, -2468329/21600, -40823/360, 55589269/777600, -54272/135, 
  2781901457/4665600, 641042701/2332800, -4005146831/9331200, 
  -2051101061/4665600, -1883723281/2332800, -3569715527/6998400, 
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  9710984137/13996800, 2305557959/13996800, 16158877303/27993600, 
  -8746140709/13996800, -916305047/388800, -18313/1080, -28503461/259200, 
  -629/18, -30421/21600, 63679349/1555200, 1001/18, -68779/9720, 
  93200077/1555200, 17006353/388800, 2100239/21600, 69467/432, 
  51997417/777600, -23819/108, -164886673/777600, -344581/1080, 74489/180, 
  25904441/64800, 2611723391/4665600, -211/9, -65659873/58320, 
  -966721181/1166400, 1350931843/2332800, -14305346263/6998400, 52601/432, 
  2111641541/874800, -292207/1080, 2585783767/2799360, 3172280201/4665600, 
  -11704765823/13996800, -3006639407/1399680, 8720919803/13996800, 53/216, 
  9651899/207360, 93201229/1036800, 97/9, 650609/43200, -56900317/3110400, 
  -151137679/1036800, 5057363/777600, -12293921/103680, -17006353/388800, 
  -334999/43200, -75667019/518400, -14041/216, -28888529/622080, 
  126335327/622080, -422710363/3110400, 5111549/43200, 165079/1080, 
  72537257/1555200, 26573/108, -55051579/207360, -5302754131/9331200, 
  -639852649/2332800, 11058536633/18662400, 230506333/583200, 
  16087877539/18662400, 1225016995/1119744, 30496273099/27993600, 
  13565458739/6998400, 2057558141/2799360, 43939643/1119744, 
  -492221791/2799360, -17795131597/13996800, 13751406497/13996800, 
  927629441/388800, -977/432, -826999/129600, -10383907/388800, -97/12, 
  49429/43200, 45631/622080, 14185057/388800, -383333/97200, 
  103514161/3110400, 19583179/777600, 525733/14400, 105763/1280, 4519/96, 
  21715523/194400, -201457831/3110400, -139726013/1555200, -6909979/43200, 
  -465587/4320, 88938293/1555200, 191911/1080, 41815051/129600, 
  2889751577/4665600, 623725333/3110400, -3224782807/4665600, 
  -1988964071/4665600, 1857661207/4665600, -3207379547/2799360, 
  -6515020721/9331200, 9707974903/5598720, 13298013253/13996800, 
  1415054177/2799360, 139860721/466560, -20288734231/55987200, 
  -2557956893/6998400, 173286043/155520, -209/432, 52272001/518400, 
  -5145907/388800, -97/12, -3011/288, -33589189/518400, 2985457/388800, 
  177697/9600, -4009637/259200, -2399/14400, -9521/432, 417481/34560, 
  4519/96, 67841641/518400, 84446969/3110400, 16410683/388800, -565439/43200, 
  -465587/4320, -202218907/1555200, 191911/1080, -104553809/518400, 
  3611361683/9331200, 665629333/3110400, 20704399/86400, 40125361/933120, 
  91245043/777600, -5427163/64800, -7173313121/9331200, 953679893/1866240, 
  15278372533/13996800, -3207199861/9331200, -138174599/3110400, 
  1137264493/18662400, 393812771/518400, 22276539889/27993600, -8/25, 43/24, 
  -2973/100, -301/480, -13121/300, -43/160, -107/12, 18/25, 45411/800, 
  16129/200, 53253/800, 1709/200, 2/25, -5679/160, -6/25, 55902931/20995200, 
  -21231059/4665600, -165395933/4665600, -1597147/129600, 
  2218404883/41990400, 121145009/3499200, -487855/20736, 220342613/20995200, 
  653235833/6998400, 188851771/699840, 10163/3240, 612673/32400, 50521/5400, 
  -109/75, 265319/32400, -8903/960, -20063/1152, 51541/10800, -132677/5760, 
  -21821/4800, -157553/12960, -60737/2400, -2747/3600, 58309/4800, 26783/864, 
  1834751/43200, -47287/10800, -6001/675, 945059/43200, 261401/10800, 
  -424109/349920, 40918999/13996800, -15001427/6998400, -145311193/4665600, 
  5323039/1166400, 10471739/388800, 167510129/13996800, -106896727/1399680, 
  -652609843/4665600, -473316077/2799360, 7531/1296, 14563/1350, -94/75, 
  -50569/10800, -29171/28800, 257221/28800, 847/3240, -71993/3600, -967/720, 
  6953/2700, -207859/8640, -11299/900, 6127/1080, -1184/135, 1969699/43200, 
  263993/10800, -27469/9720, -252870203/4665600, 890153/174960, 107249/72900, 
  7544867/194400, -10297547/437400, 4604143/194400, -51807061/4665600, 
  -17119033/1555200, 11760091/194400, 305039243/4665600, -387287773/13996800, 
  -211555111/2799360, -73540027/1166400, -710176871/6998400, 2/75, 
  -10871/1800, 10318/675, 46429157/388800, 36315869/129600, 
  -103238761/2332800, -2/75, -11440403/388800, -1438579/51840, 10919/1800, 
  -613627/97200, 1438579/51840, -115157/5400, 1543879/43200, 10318/675, 
  -46942157/388800, -403888741/1166400, -24652951/129600, 743041427/2332800, 
  3960529/16200, 103238761/2332800, -101224027/259200, -353/375, 
  -4700723/62208, 744739393/5832000, -589403221/2916000, -20617/864, 
  -13877033/259200, -12114493/777600, 358/1125, -23496431/1166400, 
  189597559/2332800, -5606873/388800, 32039441/259200, 63022291/933120, 
  66639529/1555200, 21645043/699840, -227352437/3499200, -5823221/145800, 
  -658042609/23328000, 6628067/57600, 276746947/7776000, 223547/57600, 
  62748689/518400, 32954191/2332800, 358/1125, -21270011/388800, 
  33378911/518400, 1187813/259200, -66825349/518400, -154845427/2332800, 
  -23496431/1166400, 170980807/777600, -8082659/518400, 17681597/388800, 
  189597559/2332800, -5237093/129600, -5606873/388800, -322112143/518400, 
  3434564827/13996800, 66618793/1555200, 606562493/4665600, -2608871/777600, 
  50064251/13996800, 118791827/3499200, -237054967/2332800, 
  -263063393/3499200, -4438663027/3110400, -1912050379/23328000, 
  747583/16200, -3021019/129600, 974793763/11664000, -362123/28800, 
  -1089337/19440, -4831/216, -48054763/777600, -5720153/77760, 
  -7057499/1166400, -101/225, 101/225, -23/225, 23/225, 124/225, -124/225, 
  -551/450, 80404217/518400, 1712813/10800, -19159/3600, -60462773/518400, 
  5207/600, 54046357/777600, -789470531/1555200, 137557/2592, 
  87746597/777600, -6477139/172800, 89362129/518400, -663399031/4665600, 
  -349/450, 6077857/69120, -25692937/518400, 12685187/233280, -1883747/38400, 
  -2975953/12960, -1107191/64800, -172941913/1036800, -1430884031/4665600, 
  76183/3600, 67377949/207360, 226949363/1166400, 11301031/86400, 
  555462119/1555200, -29969/900, -117484967/388800, 471731/10800, 
  -3097947773/3110400, -772091771/5598720, -63834631/518400, 
  1007366993/777600, 543695761/1119744, -176146793/1555200, 
  2592252427/2799360, 13607951/103680, -37217159779/27993600, 4546127/64800, 
  -8326337173/4665600, -73202149/388800, 14466032801/9331200, 
  18592871/103680, 343450067/4665600, 4137499/172800, 371550541/4665600, 
  -24563749/345600, -60185167/518400, -73168721/933120, 53580311/518400, 
  58327567/518400, -63277777/1036800, 184077151/1036800, 107573033/291600, 
  -851/450, -62556259/259200, -381531439/933120, -74388367/1036800, 
  -74381917/194400, 16141/3600, 741732941/1555200, -173137/5400, 
  501297451/622080, 5007663241/27993600, 3673/7200, -4371507323/3110400, 
  -5114775697/27993600, 26045951/43200, -3258875921/3499200, 
  -10306193/155520, 6157646753/3499200, -1594987/16200, 2024112769/1166400, 
  -1440287/129600, -7849912963/4665600, -28138267/518400, 41030681/1166400, 
  6477139/86400, -89594833/259200, 662351863/2332800, 349/225, 
  -6077857/34560, 25925641/259200, -63164143/583200, 1883747/19200, 
  119088731/259200, 1107191/32400, 172370521/518400, 286338547/466560, 
  -335/8, -336318353/518400, -226889747/583200, -67856797/259200, 
  -554605031/777600, 2833/40, 117377831/194400, -248491/2700, 
  101277575/62208, 1411747369/13996800, 63834631/259200, -1731729787/777600, 
  -11179449943/13996800, 38307823/155520, -10522690553/6998400, 
  -35898911/129600, 36338035891/13996800, -21496789/259200, 
  7934589703/2332800, 73202149/194400, -2777875129/933120, -4975433/259200, 
  -105073357/777600, 6477139/86400, -89478481/259200, 665493367/2332800, 
  349/225, -6077857/34560, 13247597/129600, -12685187/116640, 
  10069111/103680, 121307051/259200, 1107191/32400, 6924865/20736, 
  1453748063/2332800, -335/8, -335567249/518400, -217982663/583200, 
  -70075117/259200, -22201343/31104, 2833/40, 114496067/194400, -248491/2700, 
  3097139933/1555200, 1217260537/13996800, 64469383/259200, 
  -403153723/155520, -15314015671/13996800, -5042521/77760, 
  -10320968477/6998400, -34778663/129600, 39531198721/13996800, 
  -24214357/259200, 4380016697/1166400, 18720701/77760, -9132644603/4665600, 
  -26901127/259200, -281117351/777600, 43/80, -129/160, 43/160, 14479/2400, 
  5039/300, -54791/2400, -5501/800, -6/25, -12337/800, -551/225, 
  10025203/72900, -12043417/259200, 25622159/518400, -17284217/311040, 
  20221901/1399680, 954712087/1555200, -19042081/259200, 13818110459/9331200, 
  344869187/4665600, 4573/3240, -7043/1200, -2801/900, 349/225, 206797/16200, 
  -89617/8640, -10543/14400, -502963/21600, 99/100, 2307/400, 728381/32400, 
  136339/10800, 9899/7200, 790103/21600, 35647/1800, -2154913/43200, 
  -11969/675, -8111/7200, -172201/2400, -83543/10800, -19157167/129600, 
  41143087/933120, 114105769/518400, 38891837/259200, -11624129/1555200, 
  -959083/129600, 309221353/1555200, -53655653/218700, -50894093/259200, 
  -171209141/3110400, -3073/2160, -529/100, 349/225, 2051/480, -1519/14400, 
  -174163/14400, -109/324, 233917/10800, 11627/7200, -48061/5400, 2489/96, 
  50669/2880, -206503/10800, -8111/7200, -1239473/21600, -83543/10800, 
  -40411/4320, 7479241/172800, -20257543/129600, 1844269/57600, 
  -1521341/32400, 38757707/518400, -3913231/172800, 36611993/259200, 
  16481431/64800, -3715987/129600, -5525519/103680, 105274759/518400, 
  569450027/777600, -63654667/259200, -52053863/518400, 7/4, 3072197/259200, 
  98129/12960, 1, 1507/240, -67721/864, 259207/8640, 2, 10069/4800, 
  -427835/3456, -5994467/129600, 26321/1800, 3297433/16200, -130951/14400, 
  -557/48, -2005877/129600, -949/80, -1006849/259200, 242861/129600, 
  -1447/48, -3498101/129600, 114263/675, -17356007/86400, 437/48, 2189/144, 
  1747303/129600, 28477/360, -11357413/129600, -91/24, -16547/360, 
  -1978877/259200, -1188059/86400, -4064597/43200, -1, -710701/259200, 
  4729715/15552, 35263793/388800, 21448757/86400, -111836819/388800, 
  -1577261/7200, 1609819/28800, 1275329/8640, 777/40, 5030983/32400, 
  -73946093/388800, 395713/9720, -1810969/21600, -54499/720, 1740191/25920, 
  8023/180, 9448441/259200, -32446967/388800, 1012013/194400, 
  -41081687/97200, 68349277/777600, 86094689/194400, -47746687/259200, 
  4853777/388800, 65267023/155520, 310109/21600, 31938703/194400, 
  -1087123/25920, -223523671/1166400, -52461691/194400, -3771811/145800, 
  2339/135, -10561/432, 85/36, -2, -168019/2160, -18667373/518400, 
  -1590683/25920, 1349/24, 802213/7200, 53066387/1036800, 1165733/16200, 
  -1653077/17280, -79766987/1036800, 6604919/172800, 4037/216, 7847/240, 
  997/48, 2986369/21600, 2615471/32400, -334567/1440, -230238817/518400, 
  -41413561/86400, 66899837/1036800, -20873/180, -13153/360, -77317/540, 
  1472833/4320, 57395681/129600, 347/18, -27767/120, 11759/360, 
  -42082717/518400, 18093973/97200, -241/8, 11833793/19200, -67835617/518400, 
  -53384741/129600, -1197841717/1036800, 15282293/172800, 30001769/86400, 
  -210079/800, 4484291/16200, 565/6, -37795501/28800, 204922183/259200, 
  1048669453/1036800, 351127/900, -218531/1440, -32758951/64800, 4799/24, 
  -59628779/57600, -3037585877/9331200, 9418819/25920, 207941119/259200, 
  3182573887/3110400, -284240701/345600, 1126298299/518400, -48287/2400, 
  -978928637/207360, 1065787/8640, 174037991/345600, -903691417/777600, 
  -47233529/43200, 156209215/41472, 541301411/345600, -15581/2400, 
  -117863/14400, 233117/57600, 4787/576, 1370809/69120, -73897/11520, 
  -1414369/115200, -8799311/345600, 947/400, 103073/115200, 88407/6400, 
  137723/14400, 246037/28800, 1823909/57600, 1, -192229/14400, 
  -1581239/69120, -1, 9600071/345600, -12689/23040, -3641003/345600, 
  -149827/5760, -12071/960, 2903977/57600, 15551/960, -846611/57600, 
  90311/2880, -55471/2880, -104809/11520, -14891731/345600, 1516471/345600, 
  -238297/69120, 6386411/115200, 95801/345600, 68143/57600, -663817/172800, 
  3689441/345600, -101407/1600, 3565097/115200, 1, 1240651/69120, 
  2773841/69120, 124021/1536, 1303739/172800, -201/16, -814349/57600, 
  2189/72, 311051/86400, -346213/11520, 55345/6912, 239779/172800, 
  -4126453/172800, -228303/3200, 12317/2160, -255821/2400, 261251/7200, 
  20681/864, -352711/9600, 221657/14400, 22011/800, 3257/4800, 
  -1293079/115200, -18149093/345600, -17867/16200, -74639/9600, 
  22363573/345600, 10385653/64800, 17867/16200, 579193/23040, -1680749/51840, 
  -111723169/1036800, -20606143/1036800, -5459507/259200, 949979/518400, 
  51547/3840, 2649097/38400, 198007/7200, -515/18, -6848801/38400, 
  -339877/12960, 12438199/1036800, 3687637/64800, 529519/115200, 
  -128083/3840, -246659/4800, 3581461/57600, 1385771/43200, -166451/10800, 
  14621/576, -50941/14400, 2177777/115200, 8998253/345600, -24658621/172800, 
  1121/6480, -532271/12800, -488447687/3110400, 6340027/43200, 
  15900451/777600, 445626617/3110400, 41769467/3110400, 2582251/115200, 
  666451/34560, 89629/12960, -822499/3110400, 16375891/345600, 
  -3852881/1036800, 1986577/86400, -442019/43200, -264769/19200, 50941/14400, 
  4059103/64800, 23229559/155520, -3297847/115200, -31713841/622080, 
  -507034619/3110400, -8443763/622080, 50533931/1555200, -97161337/1036800, 
  -125827021/3110400, 6341401/172800, 14931941/345600, 27930229/1555200, 
  -33981191/1555200, 180400651/3110400, 671591/21600, 1291/720, -221/60, 
  6702239/259200, 9094243/172800, 1751/450, -8405267/172800, 76721681/518400, 
  -702724909/4665600, -1014161/43200, -2775857/43200, 54139/3600, 79/72, 
  -319/120, -29593/10800, 12979207/518400, 6067/1800, -317102/2025, 
  -188313439/583200, 9373687/86400, -401/48, -474931/16200, -459811/10800, 
  605874641/1555200, 4919/180, 107/60, -46/45, -1432363/129600, 2, 
  19102727/518400, -293703691/1555200, 3526279/18225, -74927183/86400, 
  -4000327207/27993600, 39278177/518400, -3014033/129600, -65569/17280, 
  -2687/240, 59539/480, 66725393/186624, 29903460727/27993600, 
  1070131/129600, 16207/360, -640650053/1555200, -4963/90, -88693/25920, 
  3096007/155520, -103018499/1555200, 661497851/777600, 11796474877/27993600, 
  -13637585783/9331200, -475675/10368, 769873/311040, -33260026801/27993600, 
  -45359/25920, -5086529/194400, -97401/1600, 1381925417/1036800, 
  12242729/172800, 395607853/4665600, -6433/540, 203099/6480, -18053/1080, 
  2/3, 11471/540, 31587703/129600, -28473107/388800, -475/24, 779519/43200, 
  -143890211/345600, 141047281/777600, -333533/28800, 266357987/1036800, 
  -7933/2304, 491/216, 201443/4320, 2105/288, 3144931/43200, -20319647/51840, 
  31433/360, 35628199/259200, 214805441/777600, -8337899/69120, 29321/720, 
  14683/2160, 76723/4050, -344959/2160, -28534403/86400, 146081/1080, 
  -11814389/129600, -26062801/259200, -18858047/388800, 137/8, 
  -3006767/10368, 2403416087/4665600, 32320939/388800, 117393913/207360, 
  -2153105141/4665600, -5290529/28800, 2505637/16200, 38582251/259200, 
  -765/16, 48931057/51840, -653630821/777600, -5202530369/9331200, 
  -13250563/64800, 14791/240, 1772741/4320, -39413/1080, 21785437/86400, 
  2522609299/9331200, -9918139/64800, 876233311/2332800, -6281689673/9331200, 
  -1888733/69120, -16999459/17280, 116659537/388800, 25286028397/9331200, 
  -1875787/10368, -1420504589/1866240, 857779081/777600, 50272051/34560, 
  -22285381823/9331200, -3630509/2560, 2381/2400, -9161/14400, -127561/57600, 
  -11191/2880, -297743/115200, 354187/57600, 94829/23040, 538939/38400, 
  -37771/9600, 716959/115200, -207631/19200, -107219/14400, 35641/9600, 
  13361/19200, 2/3, -2473/192, -2040563/115200, -2/3, 208907/12800, 
  1854713/115200, -67819/12800, -4639/1920, 1217/320, 129409/3840, -1217/320, 
  -287299/19200, -2197/960, -2121/320, 171247/19200, 439301/23040, 
  -19457/12800, -6577171/345600, -12115621/345600, 19457/12800, 18379/2304, 
  2763053/172800, 1867/13824, 207361/14400, 10229677/345600, 13198381/345600, 
  -2067649/69120, -1659661/38400, -406973/11520, 2/3, -138119/57600, 59/24, 
  -99037/28800, 181751/11520, 3021371/172800, -181751/11520, -2254349/172800, 
  -1829119/86400, -12391/9600, 271079/8640, 1229051/43200, -288569/43200, 
  91091/8640, 340241/43200, -61843/21600, -3257/4800, 1354999/115200, 
  3691873/69120, -12877/16200, 90119/9600, -1490963/1036800, -1227805/10368, 
  12877/16200, -2184509/115200, -6022517/86400, 13480481/207360, 
  1734589/345600, 1923943/32400, 904579/172800, -51547/3840, -480053/7680, 
  -153593/7200, 19317/3200, 255475891/1036800, 1364459/64800, 
  13675457/115200, -45607337/259200, -116227879/1036800, 128083/3840, 
  170783/4800, -1326917/19200, -1166387/43200, 4041547/86400, -2231/192, 
  5941/14400, -1960337/115200, -90807187/1036800, 323143/6912, -1121/6480, 
  -19001293/1036800, 478022107/3110400, -2262709/43200, 291317/5400, 
  -49271129/622080, -28824737/1036800, -102247/12800, -1783379/20736, 
  -607697/64800, -169541507/1036800, 222155683/1036800, 908224939/3110400, 
  39029/3600, 134387/43200, 1693519/518400, 138331/14400, -599539/86400, 
  -11575991/259200, 1907149/69120, 17745439/1036800, 62055301/1036800, 
  -7530479/1036800, -792599/19200, -65541167/1036800, -155433461/1036800, 
  -1369597/103680, -251901617/3110400, -32253721/1555200, 29428523/518400, 
  -37993927/3110400, -671591/21600, 4181/2400, -937/8100, 436111/518400, -2, 
  70531/14400, -21876511/1036800, 27166903/259200, -1099789/38400, 
  -30664481/172800, -798779/25920, -25989799/172800, -276481/129600, 
  6747/3200, 1747091/518400, 663/40, -13540733/259200, -43060583/345600, 
  -191/48, 13213729/115200, 987397/25920, 276481/129600, -58357/5760, 781/64, 
  48721637/518400, 1939/720, -94309/12960, -6311/320, 463/360, 
  2434061/518400, 18534593/1036800, -238964113/3110400, -2, 1002337/41472, 
  1112155069/3110400, 5366587/43200, 952927043/1555200, -40453363/518400, 
  -74101543/518400, 2573113/259200, 253957063/3110400, 2123/240, 
  46202233/3110400, -50650163/345600, 20812841/1036800, -2692733/34560, 
  17417/576, 52770289/518400, -86479/2880, 1498643/1555200, 63694393/622080, 
  -247745311/3110400, -325383709/1036800, 533439761/1555200, 
  367438727/622080, 3822911/777600, 341489401/3110400, 279496273/3110400, 
  -51782857/518400, 18166699/466560, 138801271/1555200, -164263009/518400, 
  -21441703/777600, 88777649/2332800, -4457/4800, 795373/38400, 
  70175777/1036800, 109451/64800, 24217/1920, -5777/135, -66986171/345600, 
  -80363/64800, -180553/12800, 9167/2160, 62306231/518400, 187951/19200, 
  560857/14400, -43787/3840, -877949/12800, -57599/1800, 99223/11520, 
  49193059/172800, 282761/16200, 22802179/1036800, -41963989/259200, 
  -560857/14400, 405449/11520, 98147/4800, -37542749/518400, 79931/21600, 
  7207249/172800, 2581/960, -71693/3600, -12406169/1036800, -36715133/388800, 
  419900153/3110400, 11839/6480, -7618771/518400, -36784031/345600, 
  -17793829/518400, -65601967/345600, -189188581/1555200, 77557/9600, 
  30085109/1036800, -11860573/622080, -610703/64800, 309239/9720, 
  3339965/20736, 228567361/1555200, 900667/51840, -74821/4320, 
  -7174631/64800, 25759/1200, 1244351/124416, -161566499/1555200, 
  3606857/172800, 203852579/777600, 68861069/777600, 3439223/259200, 
  -87809137/3110400, -21913103/518400, -23408953/172800, 6214721/103680, 
  -160949293/2332800, -32168069/777600, -1691707/129600, 5312627/388800, 
  -9953/1200, -104419/21600, 3260959/32400, 67740353/777600, 1039/72, 
  -60691/8640, -917069/3240, -332158097/3110400, 73/36, 1500553/38400, 
  566610133/3110400, 17922893/1036800, -561889/11520, -51941917/777600, 
  -19201/28800, -1222729/86400, -104844413/518400, -72773/864, 
  44926901/259200, 7122989/23040, 54497/2160, -167161039/518400, 
  -20044381/115200, 9192013/388800, 107309/5760, 96677/576, 
  -107057591/518400, -225779/2160, 513643549/1555200, 452881/8640, 
  -163411/1080, -115828841/518400, -137328043/1166400, -119609821/4665600, 
  -457/72, 360851327/518400, 300608399/583200, -844477957/9331200, 
  -29421209/62208, -2263217959/3110400, -3674623/20736, 130558199/259200, 
  16303555793/27993600, -15527/432, -8681565383/9331200, 138125911/27993600, 
  -1822613183/4665600, -13861969/172800, 749753/8640, -13730508793/13996800, 
  3074741/8640, -1036107833/3110400, -7433985479/6998400, 
  -1057954303/9331200, 629177441/3110400, 43810163309/27993600, 
  396397219/518400, 43419565321/27993600, 12787531919/13996800, 
  -1569318953/5598720, 33463393/34992, 49494686789/27993600, 
  -8959022809/6998400, -1310035469/388800, 57528720721/27993600, 
  11478784483/3110400, 2897/1080, 1253/225, -97/50, 4/25, -150977/10800, 
  -319541/86400, 3761/200, 2433269/86400, 770509/43200, -14831/960, 367/108, 
  -41089/7200, 323/2400, -1/2, 14051/2160, -659453/43200, -251489/4800, 
  -652409/21600, -3750973/86400, 476669/28800, -3293/1440, -56267/7200, 
  19/50, 87901/3600, 90581/1600, -10787/4320, 17881/1800, -1/25, -2719/80, 
  -6/25, -150937/19440, -85502879/583200, -603744979/13996800, 1559/100, 
  18201209/583200, 3422208191/9331200, 15425549/2799360, -24808229/349920, 
  -137910269/622080, 398542967/8398080, 20843497/259200, 321171859/2332800, 
  -279023/2880, -589109561/2332800, -76124491/349920, 2390971519/9331200, 
  407953/12960, 3228047/21600, 2848564/18225, -2190907/16200, 
  332942911/1166400, -15271949251/27993600, -6955001/388800, 
  -22702863509/27993600, 1539628499/5598720, 6916167403/20995200, 
  -104905723/2332800, 76951921/145800, 1591240187/4665600, -27376087/48600, 
  8264373191/27993600, -85001611/518400, -825962771/3359232, 
  -25054115291/27993600, -2470619053/27993600, -34009/57600, 
  99735721/1036800, -772554899/9331200, -552667/108000, -884161/57600, 
  -258307/23040, 112950973/1866240, -495833/108000, 17663729/1036800, 
  -1651823/41472, 21440447/777600, 1163759/129600, -4051891/129600, 
  -51667/14400, -59686573/518400, -848270131/9331200, 15999493/583200, 
  5509433/64800, -348820111/4665600, 7178711/291600, 10669417/518400, 
  -20855911/97200, -802481/64800, 97143457/777600, 17589701/583200, 
  54595807/1555200, -57340613/291600, 8001953/259200, -14157151/388800, 
  24167/2430, -618991649/1036800, 15138391523/27993600, -123311129/3110400, 
  193193/54000, 1513059727/3110400, -4374316091/6998400, 170962883/1555200, 
  50812579/622080, 39695819/466560, -1873097/259200, 4694441681/5598720, 
  -4368152959/27993600, 316447/4320, 252707897/699840, -1644951349/6998400, 
  -9738523/58320, -419799413/2799360, -205861/2400, -59742731/1749600, 
  -60727/10800, -1804372621/1866240, 3291268741/3888000, -93859649/388800, 
  1402806617/1166400, -16758616661/23328000, -7815271/129600, 
  464081837/622080, -53320003/388800, 2728458247/4665600, 16856621/259200, 
  23998069847/46656000, 29446310197/23328000, -887596019/5832000, 
  -1361256161/4665600, -80017429/729000, 4044619/172800, -16416029/86400, 
  66069449/933120, -34067/32400, -36351883/345600, 4198399/9600, 
  -224253701/4665600, 8939/32400, 67364399/345600, 452197/12960, 
  -103157767/933120, -1287349/11520, -10083709/25920, -1107191/64800, 
  7564411/41472, 835695367/2332800, 6367/2700, -613902173/1036800, 
  -3894881509/4665600, 33937/2025, 2889731/6912, 110701969/233280, 
  75221123/259200, -298561687/777600, 14059/1800, 617106809/777600, 
  -468959/10800, -648856319/1555200, -164017/5400, 308629/5400, 
  3160804409/3110400, -27023771/2799360, 984673487/9331200, -1121/6480, 
  -915981553/345600, -3939774841/5598720, -2185376141/9331200, 
  1434923599/777600, 33781733287/27993600, 339190469/3110400, 
  -5119154513/5598720, 3290285671/9331200, -737297/64800, 
  30054453673/13996800, -1766745637/9331200, -27041661011/13996800, 
  -155920369/311040, 31997/2700, 682269539/1555200, -504811/21600, 
  12715202119/4665600, 366185663/1399680, 169489/5400, -21134794733/4665600, 
  -5283489041/13996800, 9315118409/9331200, -33853260973/27993600, 
  -28732633/518400, 34940829217/27993600, -473507/14400, 5131594939/3110400, 
  -15452497/388800, -550628507/388800, 38644991/622080, 5119547/1166400, 
  -1343/1080, -1003/2160, 44651/32400, 25433/4320, -644123/64800, 
  -44651/32400, -190553/10800, 674213/64800, 280801/21600, 43/80, 65473/7200, 
  -93521/21600, 19843/10800, -1106249/86400, 73973/12960, 114539/28800, 
  -483689/64800, -280801/21600, 67/40, 1727/1800, 80813/14400, -22849/4320, 
  -15877/5400, -3, 1727/1800, -332323/43200, 17793293/345600, 
  -118487801/1036800, -73739/32400, 7744633/172800, -118835317/1036800, 
  2406044033/9331200, 736805/20736, 12957071/518400, -2991259/172800, 
  -205211/9600, 84466199/1036800, 1085597/64800, 129343133/518400, 
  57149561/1866240, -26128589/259200, -1089299/259200, -40897/21600, 
  -95505503/388800, 310759/21600, -51403691/1036800, 161859869/1036800, 
  -134440549/1555200, 2395116371/3110400, -4448493137/27993600, 
  -11056271/103680, -220141529/1036800, 79643503/1555200, 
  -19444316521/27993600, 1966951/129600, -58200917/622080, -34862971/777600, 
  14956846313/9331200, 33062267/777600, 488513723/4665600, 5/4, 1, 605/72, 8, 
  1811/60, -15523/1440, -146827/648, 35360927/172800, 2848043/8100, 
  22048811/172800, -605/144, -605/36, -49, -5643739/172800, 102577643/259200, 
  -35363161/103680, 605/144, 5921/72, -32867/128, -5023/80, 31/6, -533/72, 
  -39186971/777600, -344904491/1555200, -47695019/194400, -250775393/388800, 
  13177/2160, -47769349/777600, -139065199/518400, 2207287/64800, 14831/2880, 
  -101357671/388800, 11955607/518400, 8951803/43200, 269579777/1166400, 
  1135/108, -4055231/12960, -343979251/777600, -97/9, 1203503/21600, 
  7874237/25920, 277528309/777600, -3504113/21600, 5053339/77760, 
  19227457/129600, -211661/21600, 1342213/4050, 15493/216, -89573561/259200, 
  -85924733/129600, 18174713/43200, -155857/2160, -218849/1080, 
  -12923983/129600, -1436/9, 18153097/21600, 218475211/583200, 
  638662597/2332800, -20023369/17280, -1054512581/4665600, 
  -2756893073/3110400, -30371567/16200, -4940012813/3499200, 
  -5864742341/4665600, 5742623/14400, -35059223/58320, 2616659951/13996800, 
  383141723/207360, -7330817071/4665600, -1003137911/388800, -23/225, 
  59870521/259200, 8434177/43200, -38197/25920, 6437/720, -15214013/57600, 
  -59293529/129600, -17371/900, 81162163/518400, -222277/5400, 
  -659319367/4665600, -714433159/1555200, -529781467/1555200, 
  -208091527/583200, 1768206593/1555200, 127811683/777600, 
  3032768891/27993600, 44482147/194400, 18065693479/27993600, 
  -3558748499/3110400, 41/60, -605/144, -605/144, -8, 2637821/129600, 605/72, 
  49, 178327/14400, -5921/72, 15181/180, -8369/5400, 42453971/777600, 
  1127909/21600, 41235349/777600, -566699/32400, 117523/10368, 
  99724171/388800, -6237451/64800, -376262929/2332800, 141/20, -67145/3456, 
  -7872451/64800, -6, 1825421/43200, -400273/5184, 26, 834581/14400, -18, 
  455/24, 197353/86400, 37086503/259200, 7910029/86400, 6994159/32400, 
  -65533/129600, -551621/21600, 2406611/21600, -277569017/777600, 
  -76939/25920, 4167173/259200, 67/54, 21650681/64800, 199433851/777600, 
  97/9, 625691/21600, -13150171/43200, -238384249/777600, 153013/1728, 
  -12013001/97200, -4049537/25920, -327949/21600, -1768793/3600, -16645/216, 
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