{{1, 1/3, 1/3, -1/3, 1/3, 1/6, 1/12, -1/6, 2/3, -1/3, 1/3, 1/4, -1/2, -1/4, 
  -1/4, -1/3, 1/12, 1/2, -1/6, 1/6, 1/6, -1/6, 1/6, -1/6, 1/6, -3/8, -1/6, 2, 
  -5/24, -7/2, 1/6, -1, -7/24, 3/4, 7/24, 1/6, -1/3, 7/24, 1/3, -7/6, 1/4, 
  -4/3, 1, 1, 2/3, -5/3, -17, -5/6, 5/6, 961/150, -5/6, 2837/128, -3211/128, 
  2837/128, -49/12, -3211/128, 61/12, 1/2, -3/2, -2/3, 2/3, -2/3, 2, 2/3, 
  17/30, -8/5, -2/3, 2/3, -3/5, -4/3, 2/3, 7/30, 5/3, 1, -2/3, 14, 14, -14, 
  -293/75, -15/2, -17, 15/2, 63/50, -77/6, -77/6, 77/6, -109/75, -139/12, 
  -17, 139/12, 313/100, -11/6, -5/6, 5/6, -239/150, -4, 29/60, -3, 3, 1, 
  -27/4, 10/3, -10/3, -5/3, 41/6, 41/6, 979/384, -181/384, 23/4, 979/384, 
  -23/4, -181/384, -5/6, -2/3, 4343/1200, 56239/2400, 1, 8963/1200, -17/6, 
  -5/3, 2, -2, 1385/128, -6469/384, -153/50, -1437/128, 3025/384, 2/3, -1/6, 
  5/6, -17/10, -1/6, 5/6, 1/6, 149/120, -1/6, -1/6, 3/4, 1/6, -1/6, -13/6, 
  -1/3, -2, 1/3, -121/120, -197/120, -1/3, -1/6, 3/4, -1/2, -1/3, -1/2, 
  -27/40, 3/2, -1, 7/24, -443/75, -957/100, 2401/800, 4343/1200, 1561/150, 
  11/2, 12259/600, -9/2, -1111/150, -5/2, -6411/800, 518/75, 5/3, -184/75, 
  -19/8, -4157/400, -4043/1200, 4343/1200, 1411/300, 11/4, 2573/96, -7/4, 
  -149/200, 2629/1200, -553/600, 1229/300, 1729/300, 17/12, 219/40, 5929/800, 
  1/3, -1697/400, -25/16, -5929/800, 7/48, 7873/600, 993/200, 37159/2400, 
  -7273/600, -10/3, 176/75, 17/12, 222/25, -1229/300, -25/16, -222/25, 7/48, 
  376/75, 1679/600, 2257/600, -24971/1200, -3529/600, -11/8, 11/6, 7/6, 
  11/16, -25/12, 11/16, 17/48, -25/12, -1/3, 1/3, 1/3, -2, 5/3, -617/360, 
  -7/6, 863/120, 617/360, 2/3, -2/3, -4, 3/5, -41/30, -3/5, -2/3, -1, 2/3, 1, 
  2/3, 2, 4/3, -1459/360, -13/60, 863/120, 1459/360, -3/2, 3/2, 2/3, 2, 5/6, 
  11/6, -121/120, -53/6, 1699/360, 73/30, 23/6, -5/6, 1/3, 1009/96, 13/6, 
  -1019/128, -5/2, -791/96, 2503/384, -17/12, 5/6, 997/100, -5249/256, 25/6, 
  3511/256, -1/2, 629/75, -5249/256, 67/12, 3511/256, -1/2, -1/3, 25/24, 
  -7/6, -1/3, -3/5, 7/6, -1/4, 343/200, 17/24, 941/150, -13/6, -7/96, -2/3, 
  7/3, 643/600, 1529/1200, -143/1200, 17/24, 7/2, -2599/800, 17/24, 913/160, 
  257/96, -3379/1200, -3/4, 1379/1200, 1/6, -25/24, -1/3, 1/3, 1/6, 2, -1/6, 
  1/2, -61/120, -1/3, 9/40, -7/2, -1/2, 1291/360, 3/8, 3/4, -3/8, -409/300, 
  -8411/768, 41/4, 5/6, 2, 6317/768, -5/3, 1/12, -1/4, -4/3, 4/3, -3655/192, 
  -150839/4800, -9/2, 9/2, -49/8, 49/8, 49/8, 5/2, -5/2, 1/2, -49/60, -5/6, 
  -4, -2, -4/3, 4/3, -4/3, 4/3, 277/8, 9301/240, -9141/200, -5, 141/16, 
  2473/30, 5, -9141/400, -2167/60, -80303/1200, 3047/200, 3047/50, 1429/75, 
  -603/40, 1123/75, 983/300, 20437/600, 263/360, -601/120, -229/90, 2, 
  -383/60, -83/90, -20/3, 257/30, 391/45, 20/3, -4/3, 11/12, 1583/180, 4/3, 
  -14/3, -59/60, 311/60, 14/3, -10/3, -7/30, -7/6, 4/3, -47/5, 23/6, -23/6, 
  91/150, 79/128, 37157/2400, -1163/384, 47/30, 97/50, -9827/384, -281/50, 
  7397/384, -40103/800, 97/50, -9827/384, 1339/300, 7397/384, -144509/2400, 
  13/3, -23/6, 124849/2400, -8077/96, 12659/192, 62693/4800, 593/150, 
  -4747/400, -4747/400, 4747/400, 69337/7200, 69337/7200, -69337/7200, 
  -1807/600, 12253/1800, 17, -15853/1800, 10661/2700, 497/96, -10/3, 
  6067/192, -29201/800, 3815/192, -1245/32, -317/400, -17637/400, 15515/384, 
  5/3, -18877/384, -109907/2400, -6331/200, 15515/384, -49/12, -18877/384, 
  708/25, 4109/120, 25027/600, -7707/200, -119/6, 11393/50, -841/75, 
  32861/600, 868/15, -8639/160, 20503/150, -911/15, -19633/150, 11/24, 1/9, 
  -83/144, 268507/14400, 171503/6400, -79219/2880, -26381/19200, 4/9, 
  195503/6400, -78419/2880, 684757/57600, -979/192, -68291/300, 
  9718093/10800, -1, 3541/384, 1174847/9600, -979/384, -1174847/9600, 
  5983/384, -17/60, -1002047/9600, 979/192, 1002047/9600, -5045/192, 
  -1897739/9600, -1262047/9600, 979/192, 1262047/9600, -4661/192, -93761/400, 
  14061/50, -1113/5, 2356/25, -28122/25, -23143/75, 1031583/1600, 42661/1200, 
  -16492/25, 14061/25, 53921/100, -136479/1600, -30864583/43200, -14061/50, 
  14061/25, 25888/75, 1/3, -1/3, 1/3, 184/75, -11/4, -243/200, 531/200, 
  -743/600, -593/150, -33/8, -1387/48, 1/2, 4147/600, -3679/600, -2147/600, 
  -2/3, 2/3, 2, -37/40, 127/120, 37/40, -979/384, 767/1152, 7/12, -979/150, 
  -147/16, 1/6, -45209/600, 4543/1200, 101/16, 61039/2400, 1, -2/3, 3097/200, 
  3379/150, -11741/1200, -11141/1200, -1/3, -1/3, -1, 71/10, -195739/11520, 
  2/3, 11/8, -4499/1440, 1/4, -1/6, 23/90, 9653/2304, 91/180, 11/90, 2/3, 
  -13/8, 2/3, -2291/360, -13/3, 17/6, -2, 1/2, 41/30, -491/180, -1/2, 
  1391/300, -233/256, -587/100, -2003/768, 43/20, 6343/768, -22471/400, 
  -1537/768, -13/60, -4039421/21600, -3891/100, -19/6, -1/3, 11991727/21600, 
  17197/450, 71/18, -3974173/10800, 2701/600, 127627/21600, 17/24, 4409/400, 
  36353/4320, -1581/400, -16379/2400, -113/32, -182779/5400, 175/96, 
  223649/21600, 1503/400, 1973/2400, -176849/21600, -5/3, 53/24, 8737/768, 
  -13007/300, 1385/128, -10/3, -4189/256, -2629/384, 3797/2400, 8021/768, 
  -3539/480, -11485/256, -1229/1200, 5723/180, -17/24, -33461/450, 929/600, 
  25/32, -359/225, -7/96, -26359/900, -1079/1200, 143/1200, 278881/7200, 
  2929/1200, 1/3, 2/3, -2/9, -2/3, 3155/288, 1561127/57600, -2/3, -5/36, 
  -97039/2880, 2743/768, -345749/6400, 391/256, 345749/6400, -3305/768, 
  -11137/768, -3005131/57600, -2727/256, -1789259/19200, 11267/768, -14/15, 
  -2351/10, 14061/25, 9157/150, -1/3, -1031583/3200, 7168/75, 9349/50, 
  -15167/800, -35/6, -12394277/86400, 29/15, -289/60, 1911/1280, -1847/768, 
  1/10, 227/75, -69337/7200, 6081/800, 12881/768, -6677/2400, 33665/768, 
  1243/200, 831071/14400, 979/128, -831071/14400, -1813/96, -8/15, -1, 
  172207/300, 5101/25, 1012063/3600, -2043/800, 26/3, -212383/7200, 
  -402487/7200, -1259/1200, 21329/400, -336/25, 3665/64, 22817/800, -307/4, 
  771703/4800, -393/50, -606833/1200, 937/100, -261/200, 198647/400, -22/25, 
  -2731/144, -2480669/28800, 17249/576, 236981/7200, -206/25, -27815/768, 
  499327/3840, 6547/256, -354369/6400, 4/3, -2182311/3200, -12511/30, -2, 
  11744753/9600, -21647/576, 13839/256, -918847/19200, -19013/768, 
  2619347/34560, 13309/200, 4418579/28800, -31823/150, -611099/1800, 
  -7031729/86400, -21217/600, -7678889/11520, -19231/300, -7125/256, 
  3236363/7200, 1, -1/12, 1045/192, 1/12, 437/192, 1/12, -3/2, -5/6, -5/6, 
  -805/384, 1189/384, 805/384, 805/384, -805/384, -805/384, 1/12, -1/4, 1/4, 
  -773/384, 869/384, 869/384, -869/384, 869/384, -997/384, 311/32, -215/384, 
  1331/384, -1/24, 287/64, -215/384, 1/24, -1301/384, -9/8, 1379/384, 
  -645/256, -37/24, 645/256, -4/3, 1/12, -773/384, 247/128, 1171/768, -3/256, 
  -1235/768, -23/256, -319/384, 23/256, -1/12, 247/128, -1235/768, 23/256, 
  2/3, -37/24, 1013/384, 911/768, 869/768, -997/768, -869/384, 4409/768, 
  1985/768, 485/1536, -963/512, -869/768, 16913/1536, 1253/1536, -1253/1536, 
  -1061/768, -869/768, 805/256, 311/768, -569/1536, 1445/768, 25/48, 
  -6383/768, -1685/1536, 77/12, -2927/768, -25/48, -2557/768, 247/128, 
  677/768, 351/256, -677/768, -1445/768, -25/48, 599/256, 247/128, -677/768, 
  -1/2, -2/3, 7/4, 415/768, -177/64, -1/12, 1/12, 423/64, -91/384, -91/384, 
  -19/12, 37/12, 1189/384, -1189/384, 166963/4800, -1187/96, -2667/640, 
  -17/6, -631/128, -805/384, 17/6, 3/2, -17/12, -8551/960, 805/384, 933/128, 
  -805/384, -805/384, 805/384, 805/384, -805/384, -549/256, 549/256, 549/256, 
  -2639/384, 2131/384, 5/12, -2809/384, 11915/768, -869/128, -2809/384, 
  16313/768, 11915/768, -6121/256, -1/4, -1/12, 7/4, 9/4, -29/12, 29/12, 
  -1/6, -1717/192, 231/64, -133/60, -16591/1920, -231/64, 375/64, 979/320, 
  -701/96, -395/48, 1943/640, -233/128, -29/12, -1135/384, -91/6, -91/6, 
  91/6, 805/384, 1189/192, 4711/960, 1361/384, 11993/300, -221/16, 167/240, 
  4859/384, 59/4, 1189/192, -4859/384, -20573/9600, 1883/192, 23673/800, 
  -9319/384, -14623/3600, 13/4, -439/128, 1/4, 17/12, 691/640, 677/256, 
  -677/256, -677/256, -2671/256, 2671/256, 2671/256, 6019/768, -6019/768, 
  -6019/768, 1189/256, -55991/3840, 693/64, -693/64, -7309/768, 91/128, 
  -1171/64, 1171/64, -5/12, -9173/256, -9173/256, -1849/768, -563/128, -1/64, 
  -8533/256, -1849/768, 7407/256, -1/64, -5/6, 1/6, -869/256, -1491/256, 
  1061/256, -11149/1024, -7062319/115200, 4139/128, -980441/76800, 
  246203/7200, 1038349/115200, 7/6, -379/384, 379/384, 295/128, 15115/1536, 
  -1675/1536, 98239/6400, 16945/1536, 47051/1536, -1189/384, 869/768, 
  421/768, 997/512, 1715/256, 18609/2560, -5301/256, -869/768, -13647/512, 
  -1253/1536, 5301/512, 1253/1536, -5401/768, -2047/768, -1349/256, 9383/768, 
  3169/256, 2225/384, 739/96, -3823/768, -8261/3840, 5139/1280, 3823/768, 
  -3695/768, -2047/768, 1587/256, 2225/384, 1/8, 1829/768, -1341/640, 
  -3173/768, 3365/768, -161/768, 10403/4800, 5545/384, 2182/75, -202759/5760, 
  -11149/1024, -18103/4800, 2099/192, -4126739/115200, 125/48, 89497/19200, 
  229/100, 5860051/76800, -222361/9600, -1422349/115200, -18109/3840, 
  18971/23040, 115111/3072, 102841/28800, -3173/1024, 8587/1920, 2017/128, 
  -7034633/115200, 3151/192, -271087/57600, -87223/38400, 526841/38400, 
  -6997/3840, -11507/3840, -1153/768, -759011/38400, -79399/3200, 311/32, 
  -8863/3840, -839/768, 114349/3200, 793/192, -113423/19200, 444371/28800, 
  -570041/6400, 715073/19200, 1230349/57600, 1721/1280, -1153/768, 
  -36943/2400, 6997/3840, -839/768, 15067/600, 793/192, -82081/6400, 
  -236483/57600, -186391/12800, 283099/9600, 33167/6400, 471847/69120, 
  -30421/3456, 40723/5760, -18667/11520, -205003/138240, -41833/34560, 
  -869/768, -311371/138240, 100093/15360, -136873/34560, -1157/192, -667/768, 
  1765/256, 2863/256, 431/768, 923/768, -3961/768, -57151/8640, -1937/1920, 
  -307/2880, 57151/8640, 661/192, -869/384, 367/32, 869/384, -2863/192, 
  -1729/256, 869/384, -439/64, 2543/768, -2307/640, -861/160, 2307/640, 
  -3311/384, -917/48, 8791/768, 917/48, -723/256, 4415/256, 3339/256, 
  -6193/384, -6623/768, -58483/6912, 2, -307/2880, 58483/6912, 517/768, 
  -517/768, 3311/384, 3339/256, -2311/192, -6623/768, -1211/768, 3127/1536, 
  17837/768, -179639/6912, 28921/3840, -12583/768, 35/24, -4153/768, 
  -13279/1536, -4723/384, 9581/1536, 3407/256, 22861/1536, -17489/1536, 
  -253/768, -2614433/38400, 6161/512, -6667/768, -12505/768, -821/1536, 
  -647061/12800, 6161/512, -3877/128, -12505/768, -821/1536, 1/144, -1/18, 
  1/18, -1/144, -7/144, 1/144, 1/144, -139/4032, -869/768, -1093/384, 
  -3839/1536, 319/32, 2561/192, 1/2, -12323/3840, -7/4, -415/768, 
  56011/38400, 5021/1536, -485521/19200, -1381/384, 2067/256, -3299/768, 2/3, 
  1003/256, -7/3, -113629/38400, -169807/57600, 11993/25600, 35/64, -77/12, 
  127143/12800, 9649/1536, -2427457/115200, 6293/768, 4373/800, -351/256, 
  792637/115200, -1/48, -1/24, -11/45, -805/1536, -29/96, 277/720, 
  4247/17280, 25/24, 11/8, -436033/69120, -343/64, -869/768, 407/128, 
  869/768, 279/128, 2065/384, 869/768, 1057/768, -901/192, -1331/768, 
  311/256, -2037/1280, -4591/768, 3361/1280, 77/12, -805/256, 1493/768, 
  -1365581/69120, 247/128, 715/512, 351/256, -715/512, 110939/12800, 
  5155/512, -56641/768, -7/12, -41/12, -5609/1536, 55/24, -449/768, -95/768, 
  -1/144, 901/384, 1285/192, -1253/192, 979/128, 1072309/30720, 6, -6, -13/3, 
  13/3, 13/3, 78829/4800, -5647/768, 5647/768, -1/24, -347/960, -5/6, 
  -47/384, 4367/384, -431/768, -5039/768, -901/192, 25/6, -25/6, -1/12, 
  -8931/128, -45966287/230400, 9141/80, 378793/19200, -479/16, -2254967/4608, 
  2399/768, 27423/400, 10137/128, 67461623/230400, -51799/1200, -94457/600, 
  -21873/800, 14551/384, -100421/3200, -22841/800, -121249/1600, 
  -177901/41472, 1735841/103680, 302711/69120, -37457/2880, 5234179/207360, 
  -29359/13824, 1553/384, -45191/2880, -10699/1728, -1553/384, 1445/128, 
  -32629/3840, -286927/8640, -1445/128, 587/192, -1921/5760, -7187/11520, 
  -587/192, -1061/96, -38957/11520, 28091/768, 489/32, 18941/11520, -901/192, 
  -4043/384, 4043/384, 240971/9600, 11251/768, -49521857/460800, -2013/256, 
  3303/640, 32311/4800, -1319/96, -127127/1920, 43853/768, 115958777/460800, 
  13709/1200, -1319/96, -481259/3840, 43853/768, 140642177/460800, -1/12, 
  -1189/1008, -1/12, 937/1008, 805/384, -31074989/115200, 1277/12, -1189/192, 
  -37927/384, 4249753/153600, 641/480, 2143669/134400, -4793/384, 
  279451/12800, 918853/38400, -5945/768, -279451/12800, -201301/10800, 
  -899929/43200, -4793/768, 201301/10800, 61923/12800, -4137691/172800, 
  -11093/300, 10489441/172800, -3186893/172800, -8867/384, 1171/64, 
  -31985/384, 5516189/18432, -349/48, -1189/192, 1963/128, -319481/23040, 
  6099577/38400, 101/24, 183/64, 15733/768, 3327319/115200, 2039559/12800, 
  101/24, 29075/768, 15733/768, -13755731/115200, -33489733/806400, 
  -60275057/806400, 51955723/806400, 6767819/134400, -864269/19200, 
  892289/40320, -46279139/161280, -4535737/57600, 92971231/403200, 
  -51034979/201600, 116369131/403200, 6474857/28800, -4337557/38400, 
  -8597519/172800, -903059/46080, 43072697/518400, -14196907/165888, 
  12214573/115200, -183709391/1036800, 10639/4320, -606424219/4147200, 
  36014579/345600, -48568751/345600, 707/96, 563/64, 251717299/3225600, 
  263957573/403200, 2367080711/1548288, 2623/192, -72041/1536, 
  -893194487/921600, 1269/256, 897248087/921600, -10035/256, -13709/1280, 
  984686999/921600, -281/16, -992794199/921600, 13557/256, 396278503/307200, 
  1054195799/921600, -281/16, -1062302999/921600, 19687/768, 
  438750703/307200, -3394689/5600, 80380721/201600, -1676359/5600, 
  119263319/115200, -33461731/201600, 818555/43008, -2394169/33600, 
  2168739/1600, -778673933/1075200, -927613/1792, -115595177/358400, 
  -18526196681/38707200, 3394689/5600, -7820419/8400, -30804959/40320, 
  -503/256, 503/256, -503/256, 991/3200, 7161/1280, 10769/38400, 
  -28073/14400, -141061/38400, -26541/3200, -907/48, 802739/11520, -2989/128, 
  -51187/9600, 315877/19200, -923227/57600, 1150687/57600, 94901/21600, 
  -968207/57600, 7703/800, -139/1152, -14971/11520, 199961/34560, 139/1152, 
  16171/3840, -9411/6400, -16171/3840, 1849/768, 563/128, 55411/13824, 
  -841/2304, -5/18, 148201/19200, 8057/768, 599/256, 85255163/230400, 
  -459593/25600, -1501/96, -10411813/115200, 3883/128, 1333/192, 
  -644867/11520, -1990823/25600, 839671/14400, 4347469/115200, 1109/768, 
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  -148387/13824, 34023977/829440, 376283/34560, 725/1536, -14495/13824, 
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  683/1536, -33565/6144, -2875/6144, 1141/1536, -617/1536, -1141/1536, 
  3981/2048, 683/1536, -5115/1024, -2875/6144, -1141/1536, -16187/3072, -7/6, 
  3981/2048, 683/1536, -5115/1024, -2875/6144, -2671/1536, 3981/2048, 
  683/1536, -5115/1024, -2875/6144, -293/512, 20431/6144, 1109/1536, 
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  607/768, 199/512, -20431/6144, -1109/1536, 421/1536, 12059/6144, 199/512, 
  -7/6, 1/48, -1/48, 17/48, -9141553/192000, -17/48, -7667053/384000, 
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  1877/768, 156937/19200, 1, -1, 1877/768, 156937/19200, 1, -123/64, 607/384, 
  123/64, 123/64, 607/384, 4/3, 41841/12800, -192223/38400, 32691/6400, 
  117023/38400, -7147/512, 21923/19200, -111247/7680, -13/4, -13/4, 13/4, 
  123673/6400, 1189/128, 329702713/10450944, -747437513/8709120, 
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  5418624805/83607552, -167572399229/7524679680, -2017090849/52254720, 
  1408285331/2508226560, -909880493/17418240, -1590306901/15676416, 
  574652453/34836480, -3756787493/209018880, -908066093/17418240, 
  23728638289/156764160, 141008222429/940584960, -1895969093/34836480, 
  -4455192013/39191040, -49595870327/1254113280, -103905042473/2508226560, 
  81756655/6718464, 71949037361/1254113280, 1097552467/836075520, 
  -910787693/23224320, 9944662141/836075520, 97289385973/836075520, 
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  2564267/207360, 12869/6480, -2564267/207360, 1189/512, 12869/6480, 
  2777683/207360, -1/24, 12869/6480, 1045/384, 1/24, 106459/103680, 
  -16187/3072, 94915/6144, -17887/2048, 805/512, -1189/512, -805/512, 
  39139/6144, -21263/3072, -18191/768, 361/1024, 1205/384, 39139/6144, 
  -21263/3072, -1041/32, 361/1024, 20341/1024, -5/24, -311/256, 1/4, 
  102593/8064, 33207329/1244160, -16290787/201600, 102388062649/232243200, 
  -1/4, 9773/2016, -9773/2016, -9773/2016, -2143781780069/3483648000, -3/4, 
  4/3, -2/3, 4/3, -4/3, 2/3, -577/96, -2/3, 1061/384, -235/384, 14503/1536, 
  -117/32, 15/8, 7/6, -1451/72, -34069/2304, 62429/6400, 1451/72, 4/3, 
  289187/12800, -192223/38400, -45491/3200, -123673/6400, -1189/128, 
  76961/38400, -7147/512, 20977/9600, -872873/38400, -112723/38400, -1, 
  -192223/38400, 120023/12800, -7/128, -7147/512, 54323/12800, 69779/7200, 
  -13/4, 13/4, 198319/19200, -76202163133/418037760, -5211180719/139345920, 
  73153156073/501645312, 11090779687/89579520, -1408285331/2508226560, 
  131462253257/1254113280, 341757424399/1254113280, -83349546799/1504935936, 
  -155115315977/627056640, 4102968997/358318080, 3109398101/59719680, 
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  542241158239/2508226560, 31309166989/418037760, -409270781/7464960, 
  -135068946637/3762339840, -28556847397/418037760, 1/8, -1/8, 
  13783540793/250822656, 11022570241/418037760, -14129022149/250822656, 
  -96649129853/1074954240, 50497166953/627056640, -21630264709/2508226560, 
  69737/207360, -69737/207360, -69737/207360, 2777683/207360, 
  -2777683/207360, -2777683/207360, 2129/192, -2129/192, -2979913/207360, 
  117541/17280, -12869/6480, 12869/6480, 12869/6480, -1/8, 1/8, 
  -560491/103680, -1597/192, -545/192, 29149/3072, -29149/3072, 24871/3072, 
  24871/3072, 33071/2048, -33071/2048, 29281/3072, 153557/6144, -153557/6144, 
  29281/3072, -1093/768, -10025/1008, 1089/112, -16475/672, -974753/43008, 
  2587/8064, 36119441/622080, 590823/2240, 135799/12096, 3992473799/10886400, 
  -9773/2016, -9773/2016, 321361/43008, 1/96, -17/96, 8535303/256000, 
  110971/153600, 1/96, 17/48, -288253/204800, -1/48, -809/384, -1/3, 695/256, 
  -171/256, -3981/2048, 1260229/76800, 5115/1024, 949/384, 2875/6144, -1/3, 
  59727/6400, -85213/19200, -39091/6400, 1/24, 16583428403/125411328, 
  -10336342217/5016453120, -130075/6912, 1587908431/3732480, 
  34692624727/125411328, -47141/23040, 5609/2048, -331/3072, 1841/2048, 
  -2026639/414720, 471/256, -45739/6144, -25651/6144, -1141/1536, 
  -4369/10368, -13361/768, -10985/1536, 271519/12288, -457/2048, 18989/7680, 
  -869/512, 6245927/307200, -40393/6144, -1255/768, 267475/43008, 
  -34297/15360, -4591/1152, 267719/55296, 1/72, -593227/43008, 28327/15360, 
  1/8, 176800770179/696729600, -39013/7680, -3046351/128000, 1/8, 997/768, 
  -1093/768, -1/8, -773/768, -1/8, 1/12, 25/24, 5033/6144, -355/1536, 
  44351/3072, -17285/6144, 2273/512, -28919/6144, 257/1536, -28919/6144, 
  -10307/1536, -3731/384, 7081/2048, 23291/6144, -4/3, -1739/1536, 
  -3595/1536, 4/3, -28919/6144, 257/1536, -13661/3072, 7081/2048, 20431/6144, 
  -105/256, -421/1536, -1289/2048, -199/512, -1189/384, 291673/38400, 
  2939/128, -43609/2048, 546619/11520, 5115/1024, 2161/384, 5079/256, 
  -14087761/460800, -15743/384, -5301/640, 892219/57600, -12268199/230400, 
  -7425971/115200, -3206813/115200, -1061/768, 407/256, -126713/6144, 
  -1319/1536, 5115/1024, 25687/4800, -171/256, 2724233/153600, 949/384, 
  241241/28800, 617/1536, -241241/28800, 1189/384, 15943/6144, 127/1536, 
  37019/2048, 3879/512, -5115/1024, -2017/384, -4633/2048, -77381/6144, 
  69/32, 89539/38400, 508241/38400, 12461093/230400, 2129599/38400, 
  3206813/115200, 30967/6144, 127/1536, 18025/3072, -1189/384, -4633/2048, 
  -16685/1536, 69/32, 36641/6144, -206467/19200, 13457/1536, 15157/51200, 
  155323/19200, -16010849/250822656, -169242348439/418037760, 
  -36248357279/104509440, 2519064259/1074954240, 66609520577/15049359360, 
  532439954833/627056640, 561195694039/313528320, -8809913507/67184640, 
  -20899308449/13063680, 856217797549/2508226560, 64584759527/83607552, 
  -377499083953/313528320, -59315925979/167215104, -43098982987/1254113280, 
  34410577979/250822656, -1001806339/46448640, 100191270679/1672151040, 
  -417976580807/2508226560, -1140478657603/15049359360, 
  -13555801039/44789760, 2186551307/69672960, 100986994111/209018880, 
  771859157/1866240, -32616856943/1254113280, 129076683341/627056640, 
  20700120599/104509440, 81904371701/836075520, -31769116801/1881169920, 
  -615380797681/7524679680, -943056059137/1254113280, 
  -354157506959/313528320, -172736094103/2508226560, 81688616633/104509440, 
  -630165253117/2508226560, -207442976879/836075520, 
  1116040197049/7524679680, 88455663059/501645312, -1168906217/209018880, 
  -910787693/34836480, 6051129943/89579520, 18400216643/104509440, 
  12900205805/250822656, -120467102347/1881169920, 97289385973/1254113280, 
  -7059674945/250822656, -344789369663/313528320, -63791610937/358318080, 
  16356628165/20901888, 18351556591/1254113280, -146066197757/278691840, 
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  5779/6144, -17904259/414720, 56933/6144, 17904259/414720, -2613/256, 
  -5281/1024, 136859/3072, -132949/6144, 25907/6144, -150149/103680, 35/12, 
  171079/20736, 150149/103680, -5609/2048, 331/3072, -73055/2048, -331/3072, 
  9833/256, 31283/3072, -331/3072, 22518907/829440, -45739/6144, 1141/1536, 
  -9437/1536, -1141/1536, 12199/6144, 875/1536, 8519/6144, -875/1536, 
  -3453/1024, -2555/1024, 3557/512, 44549/6144, 3131/6144, 292387/207360, 
  3325/384, 105901/41472, -292387/207360, 1/8, -1/8, -12199/6144, 3557/512, 
  23705/3072, 3131/6144, -3981/2048, 12617/1536, -17029/3072, -781423/829440, 
  617/1536, 6407/3072, 152467/6144, 683/1536, -483823/12288, -683/1536, 
  178889/12288, -2903/6144, 61/32, -1141/1536, 617/1536, -906793/20480, 
  -11/256, 55621/1200, -379/512, 515/3072, -2555929/61440, -11/256, 
  151681/3200, -379/512, 515/3072, -9941/4032, -1/72, -209873/8064, 
  267475/43008, -34297/15360, -4543/1152, 267719/55296, 996002831/5443200, 
  9773/4032, -48977/4032, 9773/4032, 29599/1008, -2450887/322560, 
  -24379613333/145152000, -150846833/1008000, 169634898179/464486400, 
  -54873000401/108864000, 9773/4032, 488231/64512, 1/96, 17/96, -1/8, 
  7317803/768000, 41257/51200, -1/96, -288253/204800, -809/384, -1061/384, 
  235/384, -14503/1536, 287/96, -1037/384, 39455/6144, 553/1536, 76999/6144, 
  -1109/1536, -5115/1024, -25307/6144, 1431/2048, -20431/6144, -181217/19200, 
  13457/1536, -293/512, 5031/1024, 36847/1536, 9591293/230400, 75527/2048, 
  155323/19200, -607/768, 90995/4608, 519249817/7962624, 
  24827454233/156764160, 216793/55296, -910787693/69672960, 
  -151106238379/2149908480, 17173976999/1254113280, 97289385973/2508226560, 
  2531591047/1254113280, -129067/13824, -7236670571/41803776, -10151/4320, 
  -5710457903/89579520, -25200404953/39191040, -364298231987/3009871872, 
  26539601/2488320, -99841/34560, 40454531461/69672960, -18509/34560, 
  5609/2048, -331/3072, 73055/2048, 331/3072, -9833/256, -45739/6144, 
  -535/512, -61765/2048, 6999/1024, -949/256, 20431/6144, -781/768, 
  -17029/3072, 3233/512, -5415/1024, 683/1536, -12731/82944, 12059/6144, 
  -199/512, 607/768, 199/512, -917029/61440, -1175/1536, 4564351/307200, 7/6, 
  -463/768, -1243/3072, 9941/4032, 1/72, -128813/21504, -982299701/10886400, 
  506417/21504, 170311303979/1393459200, -4075766729/43545600, -1/48, 1/32, 
  5/12, -1877/768, -1174633/172800, -5/12, 123673/38400, -1685299/307200, 
  929991/16000, 7068841/81000, -141167/51200, -3550851/64000, -869/768, 
  -901/768, 44419346719/627056640, -437374284227/1254113280, 
  -10763126063/167215104, 2553052447/104509440, 2202884851/39191040, 1/24, 
  -1/3, 901/192, 134133/51200, -299999/153600, -180749496779/696729600, 
  -1/18, 180749496779/696729600, 4/3, 32691/6400, 59959/30720, -5159/768, 
  -5687509/153600, 7541/1536, -4397/1280, 3439/384, -183331517003/696729600, 
  56921/3200, -269031309457/209018880, -210177656891/94058496, 
  1545013824019/1881169920, 2292440220713/470292480, 92517039761/41803776, 
  33133/2048, 42335/6144, -8195773/207360, 7607/3072, -164081/103680, 
  101921/8064, 30736481/1244160, -15193537/201600, 1/12, 
  103484388089/232243200, -614947589/3456000, 614947589/3456000, 
  614947589/3456000, 5/96, -5/96, 3/8, -7/24, -17/8, 2086607/48000, 85/48, 
  -3171/2048, 7667053/384000, 2120869/32000, -98317/153600, -3171/1024, 
  3171/1024, 9513/2048, 59/24, -1877/768, -1174633/172800, -59/24, 
  -12497/1152, -24194659/288000, 12497/1152, -7667053/384000, 
  -16570577/256000, 123673/38400, -71965127/5529600, 31339309/128000, 
  2219211187/27648000, 71965127/5529600, -89700137/345600, 19994681/64000, 
  89700137/345600, -4008833503/27648000, 4008833503/27648000, 
  4008833503/27648000, 1157/768, -1157/768, 3978701503/27648000, 
  614947589/3456000, 471007/165888, -471007/165888, 25/54, 5/96, -5/96, 
  25/54, 8105/4096, -17/24, 903/4096, -13591/12288, 5/96, -549/2048, -17/24, 
  5053/2048, -13591/12288, 5/96, 36119441/622080, 3551753/57600, 
  -169870577129/696729600, 17828347067/87091200, -2041/32256, -6851/384, 
  -901/384, 51598570187/627056640, 639580625531/1254113280, 
  -12530408357/209018880, -15610204063/104509440, -152531297581/2508226560, 
  7/12, -2/3, -901/96, -82933/25600, 82933/25600, 183005854379/348364800, 
  -1/36, -183005854379/348364800, 1, 6545/768, -6544439/102400, -1, 3047/200, 
  864331/28800, 23509/2304, -101168783/921600, -28723/1152, 3047/300, -4/3, 
  -577961/38400, 3600953/61440, 165903/6400, -22583/6400, 1189/64, 
  -51361/38400, 2391/512, -108641/19200, 917161/38400, -22896379951/62705664, 
  170443093313/1254113280, -4183979461393/2508226560, 56204577251/104509440, 
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  -846653729447/7524679680, -132363085093/179159040, 
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  445416894917/418037760, -62147528201/209018880, 670743895/27869184, 
  3027965863/13934592, -53682631007/1254113280, -134128758545/376233984, 
  -5668816163/23224320, 18175828031/125411328, -110537/25920, 2564267/207360, 
  2, -317/384, -456251/69120, -2, -94993/12960, -2777683/207360, -1045/384, 
  -3794021/414720, -17851/1024, 105/32, -286549/103680, -901/96, 1461/128, 
  -1461/128, 389689/38400, 191/256, -134411/3072, -7571/1536, 3361/1536, 
  -154751/10240, 9497/384, -341581/19200, -23521/3072, -1001401/153600, 
  -608413/30720, 9497/384, 995101/76800, -23521/3072, -2251867/51200, 
  75301/32256, -1/36, -75301/32256, 2/3, 4189792949/21772800, 276907/10752, 
  -178467334379/348364800, -4139477369/21772800, -1265123/107520, 
  5143268587/25804800, 3519259129/16128000, -35405/864, 
  -4931132506963/3483648000, 5225/512, 1/12, -5097/512, 10124/2025, 
  115169/518400, -156937/19200, 747427/518400, 5010943/460800, -33467/768, 
  -1975103/51200, 20849/512, 28388219/230400, 3391/96, 
  -193987793911/1306368000, 392333693/4032000, 7591741304219/10450944000, 
  -7165939141/163296000, 128573/69120, -413687/51840, -2564267/207360, 
  -2868979/345600, 245/128, -515/384, -3179/256, 86923/19200, 
  -1105171/172800, -6578707/1036800, 4769609/259200, -3943/86400, 
  123673/6400, 5353/1024, -3338189/2073600, 25621/1536, -381419/691200, 
  8753533/345600, 26917/3072, -29149/3072, 2149/48, 13216687/153600, 
  1475/768, -1975103/51200, -7337/1536, 1167389/115200, 19273/6144, 
  -9049/384, -8501/384, 4361/3072, -31747907/230400, 10877/6144, -9049/384, 
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  -100324809/1792000, -317597840099/497664000, -232867811/1344000, 
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  67802141/1008000, 55053151/2688000, 82641985597/940584960, 
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  3127079370661/9405849600, 2279132330839/5374771200, 
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  17022069802369/18811699200, -52607469701/104509440, 
  -32310292492969/18811699200, -196694590807/134369280, 
  -2369079249023/940584960, 11235943121/26127360, 487084957153/94058496, 
  4230156458771/1343692800, 83441520179/59719680, 17645160093623/7524679680, 
  -14787025808003/18811699200, -7556964805763/1567641600, 
  -87000183957061/37623398400, 4246214784529/3762339840, 
  19662475348133/7524679680, -1752645492137/7524679680, 
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