{{1, -1, 13/20, 19/20, -21/20, -19/20, -13/10, 7/20, -33/20, 2, 7/10, -7/20, 
  7/20, 7/20, -7/20, -1/4, 1/4, -1/4, -1/4, 1/4, 1/4, -1/2, 1/4, -27/80, 
  27/80, 7/80, 1/4, -1/2, 1/4, -27/80, 1/2, 7/80, -23/40, 341/240, 1/10, 
  -911/480, 23/40, -119/240, -23/40, -49/60, 47/60, -13/24, 1/4, -3/5, 
  103/160, 21/160, -47/160, -9/80, 9/80, 1/4, 21/80, -47/240, -119/80, 
  887/240, -7/4, -3/5, -89/160, -21/160, 393/160, -461/160, 103/160, 17/40, 
  -31/32, -47/160, -1/80, 69/80, 57/80, -7/32, -583/480, 37/160, -2/3, 
  -57/80, 2/3, 7/40, 87/40, -2, -2, -1/2, 19/80, 281/120, 1/2, 1/2, 1/5, 
  -133/48, 13/40, -19/80, -119/120, -13/40, 81/80, -47/240, -47/32, -21/160, 
  47/160, -81/80, -479/240, -57/80, 729/160, 101/24, -1/2, -19/5, 263/120, 
  13/20, -533/160, 1/16, -41/480, 7/160, -373/960, -63/320, 141/320, 1/160, 
  43/120, -31/960, -63/64, 41/960, -11/240, -5/32, 49/160, 319/480, -25/96, 
  -59/240, 59/240, -41/480, 1/24, 7/160, -97/320, 151/240, -63/320, 199/240, 
  -51/80, -141/320, -41/480, 1129/960, -133/64, 69/80, -13/960, -2441/960, 
  473/192, 17/192, 1469/960, 1/96, 1133/960, -5/4, 53/480, -511/192, 49/30, 
  237/160, 1/96, -1/96, 1/8, -3/10, 103/320, 21/320, -47/320, 41/480, 
  -83/240, 607/960, 791/480, -109/60, -601/320, 211/192, -187/320, 241/192, 
  -161/240, -1/96, 1/96, 1/8, 21/160, -47/480, 461/480, -191/96, 1, -3/10, 
  -89/320, -21/320, -2933/960, 787/320, 103/320, 17/80, 649/320, -47/320, 
  41/480, -287/240, -893/480, -57/80, -1/2, 463/960, 647/960, -21/80, -5/16, 
  607/960, 2189/480, 53/15, 203/240, -859/480, -393/640, -109/60, -1301/320, 
  -281/480, 211/192, 3/320, 1001/480, 17/40, 1/192, -19/48, 1/8, -161/480, 
  -2399/960, -1/3, 313/960, -11/80, 23/80, 67/480, 11/80, 41/480, 313/640, 
  -1/24, -493/640, -7/160, 9/32, 373/960, -501/1280, -37/384, 501/1280, 
  -27/320, -141/320, 63/1280, -41/480, -217/96, -1/8, 1/24, 1843/640, 27/160, 
  7/160, -153/160, -221/960, 571/192, -63/320, -119/640, -10087/3840, 47/320, 
  1771/960, 651/1280, -637/1280, -71/48, 3401/1920, 99/160, -135/64, -11/120, 
  27/40, -13997/3840, -369/320, 1139/480, 1987/768, -79/160, -37/480, 
  151/160, 41/480, -1/24, -7/160, 97/320, -151/240, 63/320, -199/240, 51/80, 
  141/320, -19/240, -9/80, 7/160, -41/960, -3853/3840, 13/480, 1/48, 
  6449/3840, 7/320, -211/320, 3/160, -5/12, -63/320, -221/1920, 20797/7680, 
  21/160, -119/1280, -17837/7680, 47/640, 169/320, 51/80, 1379/1920, 
  -1793/960, -637/2560, -433/960, -87/160, -11/240, -217/320, 43/120, 
  2107/3840, 703/960, -115/128, 107/960, 27/80, -2/15, 1303/960, -63/64, 
  -8443/7680, -767/960, 989/960, 491/960, -37/240, 5993/7680, -319/960, 
  213/320, -5/12, -139/320, -37/960, -1273/960, 37/40, 763/960, 317/480, 
  7/480, -7/480, -1, 1, 1/2, -141/80, -73/80, 141/80, -1/2, 23/20, 1/2, 
  -109/80, -23/20, -1/2, 23/20, 1, -2, 1, -27/20, 27/20, 7/20, -1, 1, 1, 
  13/10, -13/10, 21/20, -2/5, 23/6, 3/2, -16/3, 13/30, -47/20, 57/40, 137/40, 
  -29/10, -49/10, 2/5, 21/40, -97/40, -9/20, -1/3, -971/320, -1451/320, 
  -439/320, -519/320, 381/80, 1023/320, 1451/320, -1063/240, 119/40, 367/160, 
  327/160, -253/120, -3, 6, -3, 47/10, -47/10, -17/10, -1/20, 1/20, 1/20, -1, 
  1, 1, 7/20, -1/20, -7/20, -1/4, 33/20, 17/20, 39/20, 33/20, -39/20, -2, 
  -4/5, -7/10, -39/20, 3, 1/20, -33/10, -3/16, -17/10, -21/16, 99/80, 21/16, 
  -1/16, 21/64, 163/320, 21/320, -31/40, -9/160, 9/160, -1/16, -87/160, 
  211/480, 13/40, 21/64, -277/480, -571/960, 163/320, 1003/960, -31/40, 
  117/160, -13/20, -47/80, 97/192, 41/64, -1187/960, 101/480, 21/80, 
  -101/480, 13/80, -11/20, -101/320, -41/120, 223/32, -55/8, -3281/480, 
  1447/240, 269/120, 1243/480, -6871/960, 136321/24000, -1967/192, 207/320, 
  224809/7680, 633461/115200, 6019/960, -46781/10240, -1105859/30720, 643/96, 
  -343/960, 33149/2880, -2011/400, -1241/512, 1553/1920, -122293/5760, 
  -13433/7680, 229/240, 4/3, -133/48, 1243/480, 7/40, -33857/7680, 97/320, 
  -1457/320, -62987/3840, -112261/7680, -56897/9600, -73793/48000, -1967/192, 
  33/16, -30883/10240, 235561/7680, 268823/15360, 13907789/460800, 6019/960, 
  -11481/2048, -1206979/30720, 643/96, -2243/960, 30913/7680, -177/128, 
  471667/23040, 1921/960, 24653/9600, -7003/1536, 236953/30720, 
  -601025/18432, 5051/1536, -103/80, 67/640, 175/128, 319/480, -1/16, 
  -393/80, -21123/2560, -230131/38400, 39/1600, 40327/7680, 364111/38400, 
  76477/8000, 317521/19200, 21889/1600, -183653/24000, 344/15, 18573/2048, 
  84307/51200, -1482437/30720, -5219561/153600, -11219927/230400, -7207/480, 
  37115/2048, 494249/6144, -8243/480, 2341/192, 11731/6400, 3147/3200, 
  -2628989/57600, -17441/1920, 14629/4800, -57707/3840, 759323/76800, 
  16390241/230400, 57191/3840, -131/24, -1037/320, 253/192, 1193/120, 1/12, 
  -1/4, 1/4, -1/12, -47/240, 47/120, -47/240, 17/120, -17/120, -7/240, -11/6, 
  11/3, -11/6, 427/120, -427/120, -69/40, 89/80, -79/15, 479/120, -959/480, 
  2369/480, 85/96, -497/240, 31/40, 497/240, -53/80, 463/480, 19/16, 281/240, 
  -589/480, 35/16, -133/480, -793/480, -161/120, -401/480, 1139/96, 
  -1391/160, 571/960, -21/160, -78491/1920, 9769/640, 1673/960, -6041/1280, 
  79783/3840, -47/32, 673/960, 1487/384, -2401/640, -1035/128, -239/480, 
  -3247/768, 5351/640, 161/240, 287/240, -91/120, -401/480, 183/80, 5409/640, 
  19/20, 6169/480, 5161/320, -647/240, 9413/320, -1191/160, 571/960, 
  -1279/160, 2769/1280, -85079/1920, -2527/640, 11973/640, 1673/960, 
  -2897/1280, 17411/768, -47/32, -1523/960, -14599/1920, -287/160, 
  18703/1920, 1181/160, -3641/640, -581/384, -1653/256, -7147/768, 9149/1920, 
  -17/96, 259/160, 1039/480, 539/480, -31/40, -281/120, -1139/64, 437/160, 
  -617/160, 4173/320, 769/240, 12841/320, -11223/640, -3/2, -19013/320, 3/4, 
  -431/80, -28451/1280, 81/80, 49/60, 20257/960, -9801/640, 31/40, 3863/640, 
  -4173/320, -289/5, 34281/1280, 619/20, 41861/1280, 29311/1920, -171/32, 
  -279/128, -4415/256, 731/160, 1/16, -637/1440, 11/180, -41/960, 
  -7963/11520, 209/480, -11/180, 1/48, 8743/11520, -1/18, 7/320, -49/192, 
  -1/192, -487/1440, 11/180, 29/128, 2647/2560, 493/1440, 821/2304, 
  -6253/7680, -259/1920, -371/2880, -107/960, -373/1920, -2573/2880, 
  -473/4608, 29/1440, -59/1440, -71/480, 391/240, 43/1440, 11497/11520, 
  -4019/2880, -131/1440, -425/384, 253/960, 27/80, 11/30, -4207/2880, 73/480, 
  -49961/23040, 237/320, 1589/960, -5/9, 179/160, 49747/23040, 97/288, 
  -559/2880, -61/160, -257/960, 209/720, -37/960, 361/2880, -287/1440, 
  -727/2880, 11/160, 433/1440, -433/1440, 155/288, 34/45, 299/480, -1279/960, 
  -1241/480, -577/320, 139/96, 217/80, -291/320, -29/180, -1013/1440, -73/80, 
  1297/1440, 4349/1440, 847/320, -489/320, -241/80, 287/320, -791/960, 
  79/160, 1553/960, -97/96, -557/480, 7/960, -209/960, 247/320, -16979/7680, 
  -97/320, -4757/960, -58661/3840, -591/128, 131/160, 40487/7680, 353/24, 
  15163/1600, 317941/19200, 731129/48000, -183653/24000, -9791/1920, 
  46489/10240, 57/40, 48227/1920, 204583/7680, -38731/5120, -1677989/30720, 
  -3248149/76800, -12110479/230400, 399/128, -387/40, -6701/384, 
  116921/30720, 975833/10240, 2273/480, -559/30, -31/10, 62323/7680, 209/128, 
  60043/2560, 5879/3840, 19/32, -560867/11520, -13233/1600, 3199/24000, 
  83/15, -125167/6144, -793/192, -91123/2048, 317971/15360, 5403437/76800, 
  1627/960, 130271/6144, 363167/10240, -1139/192, -3469/640, -4061/1920, 
  -10421/1152, -157/48, 6361/2400, 99509/7680, 407/1920, 20849/1152, 
  -49769/7680, 9/16, -127/480, -47/80, -43/1440, -1/8, 101/480, -1/18, 
  -1249/2880, 641/720, -943/2880, 133/144, -527/720, -265/576, -439/320, 
  -4743/1280, -19/40, -1/4, 397/240, 6659/1280, 19/40, 329/64, -4093/960, 
  -659/320, 113/160, 737/160, -1471/320, 9503/1920, 26411/2560, 393/320, 
  115/96, -10101/1280, -18963/2560, -10799/640, 5859/320, 9949/640, 
  -12793/1920, -1737/320, -1309/320, 16807/2560, 1151/96, 41/32, 1253/960, 
  151/192, 685/192, 803/960, -29/96, -10883/3840, 21/64, 5189/480, -79/320, 
  307/320, -2059/640, -3671/384, -53/30, 16309/1280, 53429/7680, -7357/480, 
  959/384, 10911/2560, -27087/2560, -1/12, 3781/3840, 341/240, -437/1920, 
  -13/20, 323/80, -9271/2560, -1049/480, 821/480, 6581/2560, -433/960, 
  -97/960, 91/192, 7/5, 255/8, -525/16, -91/40, -471/16, 7/8, 841/80, -26/5, 
  -841/80, -59/40, 1/4, -1/20, 2, 269/240, -1557/160, 1397/480, -309/64, 
  7211/960, -799/160, 2891/320, -201/320, -1407/320, -235/64, -13/6, 627/40, 
  -553/120, 153/32, -271/96, -57/32, 1851/320, -1851/320, -747/320, 747/320, 
  -1339/320, 1339/320, -117/160, -231/160, -195/16, 113/20, 10183/160, 
  -489/8, 279/40, -30469/320, -469/40, 2891/80, 267/32, -4383/160, 429/20, 
  -89/320, -29/384, 277/128, -577/320, 18581/5760, -4937/960, -36199/28800, 
  -3099/640, 268723/15360, -5297/1440, 17773/5760, -284809/28800, -281/192, 
  -74441/15360, 391667/14400, 51823/9216, -29/480, 1547/960, 3529/1440, 
  -151/240, 383/160, -1747/480, 13/8, 5179/960, -10791/640, 23147/1920, 
  -1337/160, 26609/1920, 1149/320, -1573/960, -2413/960, 469/120, 3907/960, 
  161/96, -389/160, 451/480, -481/480, -451/480, 79/80, -647/240, 5/4, 
  -529/160, 1579/480, 991/480, 431/120, -3/4, -287/60, -197/120, -79/960, 
  -40267/3840, 11959/3840, 1403/240, -3403/1920, 50687/2560, -16761/2560, 
  2161/640, -114971/7680, -443/320, -673/1920, -9203/1280, -1243/320, 
  63/1280, -24137/7680, 4683/2560, -161/480, -553/160, 637/480, 2129/2880, 
  -507/128, 115/24, 4, -75/128, -5371/1024, -649/80, -2083/5760, 22/5, 37/16, 
  335/64, -347/120, -133/40, -185521/46080, 8273/960, -4131/1024, -79/40, 
  1/40, 1747/480, 101/160, 827/160, 27243/2560, 147249/12800, -563/1600, 
  -41287/7680, -360311/38400, -399047/24000, -320041/19200, -449581/24000, 
  183653/24000, -25859/960, 2557/6144, 251963/153600, 674131/10240, 
  5028541/153600, 475655/9216, 8059/480, -114773/2560, -820669/7680, 
  20857/960, -3385/192, -151769/19200, 17807/9600, 2938949/57600, 
  1274327/48000, 7619/6000, 4395/256, -2976493/76800, -18456431/230400, 
  13959/1280, 15721/2400, -4189/1600, -54877/4800, 50933/4800, 1997/480, 
  -7/120, 66729/2560, -948287/38400, -957/1600, -82237/7680, -456929/38400, 
  126793/6000, 256501/19200, -922169/24000, 414397/24000, 427/30, 
  -435763/10240, 1833039/51200, 1580999/30720, 2585513/51200, -3854707/46080, 
  -481/160, 182597/2560, 105699/2560, -9563/480, -4669/640, 894089/19200, 
  3931/3200, -2576069/57600, -289617/8000, 794123/48000, 89309/1920, 
  554213/76800, 16061291/230400, -14067/256, -52363/3200, 3461/400, 
  104899/9600, -88267/19200, -283/80, -43/480, -939/640, -3/8, 1479/640, 
  101/160, -27/32, -1/6, -299/192, 1503/1280, 2059/1920, -1503/1280, 
  -133/960, 1541/960, -331/768, -7/120, -43/40, -4901/320, 437/160, 
  -12679/320, -1703/160, -617/160, 23521/320, 1501/64, -553/16, -1419/160, 
  9193/640, -2559/128, 1849/20, -5939/320, -2061/20, 5783/320, -11123/1280, 
  -76381/1280, -2601/320, -6389/320, -19727/960, -7/40, -36931/1920, 137/640, 
  10621/640, 33347/1920, 5403/640, 26789/768, 7573/1920, -1823/80, 347/160, 
  2331/320, 6909/320, -291/32, 1859/480, -11/16, -1/40, 15947/3200, -523/800, 
  -170041/16000, 10623/5120, 161/80, 70581/25600, -11947/960, 111/80, -3/16, 
  10931/1600, -2519/240, 19/40, 903/640, 159/160, 763/320, -331/160, -15/8, 
  -29919/1280, -353/160, 1217/64, 13473/1280, 199/160, 79/40, -19/5, 
  -433/160, -73/16, 15443/1280, -1/10, -6167/1280, 1/10, -2679/320, 
  -2771/2560, -257/320, -19513/512, 1131/320, -711/320, -39/40, 497/160, 
  -23/32, -659/160, -2587/192, -71267/3200, 8681/1600, -3683/640, 
  307491/16000, 181/8, 2849/64, -1505921/25600, -683599/9600, 52757/15360, 
  -127157/4800, -18757/3200, -495/32, 743969/9600, -3587/320, -1/8, -91/480, 
  3/5, 1/8, 91/480, -1/8, -1/8, -89/96, 21/80, 3/5, 1/8, 89/96, -1/8, -21/40, 
  5/16, -5/16, -9/40, 13/40, -533/480, 5/16, -4/5, -41/40, -5/16, -23/80, 
  -17/120, 23/80, 1/2, -1, 1/2, -27/40, 27/40, 7/40, -33/160, 33/160, 33/160, 
  -277/480, -1/2, 27/40, -7/40, 33/160, -33/160, 1, -1, -7/20, -37/80, 
  -29/60, 37/80, 1, -1, -7/20, -37/80, -29/60, 37/80, 73/40, -7/40, 83/480, 
  1/8, 23/480, -19/40, -1/80, 49/96, 19/40, -83/480, 91/480, 83/480, 323/480, 
  5/8, 5/8, -277/480, -19/40, -5/16, 413/480, 19/40, -77/480, -29/60, 
  -131/240, 77/480, 1/8, -1/8, -1, 9/8, 7/20, 1/8, -277/480, 23/240, 47/12, 
  153/160, -9/40, -9/16, 13/40, 7/16, -533/480, 5/8, -4/5, -41/40, -5/8, 
  -23/80, 101/240, 23/80, -229/240, 293/480, 383/480, -657/160, -19/30, 
  -1/96, -577/480, -5/16, -229/240, -21/80, 149/240, 649/240, -173/480, 
  -109/32, -205/96, -1/2, -7/20, 13/20, -1, 27/40, -7/20, -7/40, 163/160, 
  29/60, -163/160, -413/480, -167/480, 19/16, 21/40, -81/40, 289/480, 
  -761/480, 277/480, -413/480, -167/480, 27/16, 21/40, -1/2, -11/5, -31/120, 
  -277/480, -1/30, 73/240, 169/120, 73/40, -7/40, 79/80, -353/240, -21/80, 
  -79/80, 1027/960, -311/192, 11/20, -177/320, 177/320, 19/960, -161/960, 
  1/8, 1021/1920, 19/640, -247/960, -215/384, 67/1920, 41/960, -3/160, 
  -91/240, -253/640, 773/1920, 677/1920, 179/960, 91/240, -179/960, 19/960, 
  -223/320, -5/8, 1/8, -127/240, 5/8, 1021/1920, 217/1920, -247/960, 1/12, 
  -215/384, 67/1920, 41/960, 209/480, 47/96, -101/64, 65/96, -23/960, 
  -253/640, 1261/1920, 103/60, 677/1920, 251/960, 13/96, -49/192, -251/960, 
  159/320, -1/640, -291/640, -119/320, 581/960, 5099/1920, -4027/1920, 
  -3023/1920, -497/480, -931/960, 2177/1920, 351/320, -1/8, 161/960, 
  -101/960, 3/10, -1151/640, 2881/1920, -103/320, -21/320, 3161/1920, 47/320, 
  83/480, 17/160, 133/480, 11/160, -1/80, -517/640, -11/160, -83/480, 91/480, 
  83/480, -1/8, -101/160, 47/480, 199/192, 139/64, -889/960, 1339/960, 3/10, 
  61/64, 21/320, -2253/640, -5743/1920, 179/160, -103/320, -31/80, 4799/1920, 
  47/320, -541/960, -1/20, -29/160, 115/96, -467/640, -2213/1920, 211/240, 
  49/960, 161/640, -101/320, 97/192, 29/160, -169/320, -97/192, -59/480, 
  -291/320, -421/480, 291/320, 1, 1859/960, -59/480, -683/240, -1, 1859/960, 
  127/96, 1097/480, 7/8, -577/480, -71/480, -4623/640, -223/192, 153/32, 
  8713/1920, -169/960, 209/960, 2833/1920, -77/192, 7/40, -33/40, 1, 1, 
  1027/960, -3/8, 39/160, -721/320, -107/160, -43/320, -311/192, 23/80, 
  13/15, 11/20, -113/320, -39/160, 73/320, 113/320, 311/480, 1207/960, 
  511/480, -291/320, -409/480, -199/320, -79/480, -173/320, -59/240, -293/64, 
  -2, 811/640, 651/640, 1259/480, -33/64, -95/192, -5561/1920, -17/16, 
  479/640, -193/1920, 4393/640, 303/80, -1859/384, 1763/1920, 383/320, -17/5, 
  47/320, -49/480, 1207/960, 21/16, 291/320, 41/480, -199/320, 359/480, 
  -173/320, -59/240, -1303/192, -2, 811/640, 651/640, 1259/480, -33/64, 
  25/192, -3809/1920, 29/160, -629/480, -611/240, -15/16, -2671/640, 
  3063/640, 341/60, -1493/640, 279/640, 61/192, 3719/1920, -211/96, -23/48, 
  1/8, -1/16, -3/10, -161/960, -179/480, -161/960, 103/320, 21/320, 819/640, 
  2809/1920, -47/320, 19/960, -161/960, -41/960, -161/960, -101/480, -7/48, 
  -23/1920, 19/640, 2917/1920, 2603/1920, 179/960, 29/80, -31/1920, 
  -1579/960, -13/60, 41/960, 17/160, -91/480, 3/160, -739/1920, -379/1920, 
  17/60, 219/640, 59/960, 91/480, -59/960, 1/8, 21/160, -47/480, -139/160, 
  -803/960, 1211/960, -79/480, -589/480, -3/10, -89/320, -21/320, 551/320, 
  -1171/1920, -161/960, -1867/640, -161/960, 103/320, 17/80, 273/640, 
  2809/1920, -47/320, 387/320, 193/480, 29/160, -161/960, -149/96, 311/640, 
  -161/960, 511/640, -7/48, -33/16, -91/192, 3131/1920, 5207/1920, 179/960, 
  29/80, 887/960, -2809/1920, -13/60, -389/320, -701/960, -13/240, 3/160, 
  181/320, 1781/960, 647/960, -3/160, -307/480, 409/960, -61/480, -409/960, 
  -43/960, 291/320, 421/480, -291/320, -799/960, -303/640, -43/960, 177/128, 
  799/960, -303/640, -89/320, -2929/960, -567/320, 1889/960, 799/960, 7/8, 
  1901/960, 113/96, -163/960, 347/640, 859/960, -537/320, -139/64, 271/640, 
  509/640, -43/960, 6073/1920, 859/960, -109/128, 1703/640, -3293/640, 
  -4561/1920, 43/48, -2543/1920, -91/480, -383/960, 3049/1920, 19/60, 1/8, 
  -1/8, 1/8, 379/960, 139/960, 91/240, -119/160, 73/160, -1/4, -15/64, 19/48, 
  31/40, -1/12, 7/240, 3/4, -3/4, -27/40, -11/8, 27/40, 29/60, 53/480, 11/8, 
  -29/60, 277/480, 2/3, -7/4, 1/8, -833/160, 137/160, 1387/480, -1/6, 1/3, 
  -1/6, 1/3, -1/3, -1/6, -1/12, 1/6, -1/12, 1/6, -1/6, -1/12, 1/2, -5/2, 
  7/20, 11/120, -11/15, -131/80, 569/240, 9/16, 101/40, -9/16, -31/48, 
  1771/480, -11/15, -379/120, -151/80, 379/120, 629/240, 379/120, -379/120, 
  11/15, -127/80, -81/160, 3/5, 331/120, -4/3, 127/80, 81/160, -127/80, 
  11/15, -9/10, -127/96, -517/240, 3/5, 521/240, -3407/480, -4/3, 113/80, 
  703/480, 559/160, -113/80, -11/15, 5807/960, 9431/480, 13/80, 79/320, 
  -2649/320, -1619/480, 81/160, -81/160, 477/160, -81/80, -279/80, -477/160, 
  -81/160, 81/160, 1/2, 23/160, 41/160, -103/80, 21/8, 293/960, 59/16, 
  469/160, -1937/320, -67/16, -7/20, -41/160, 115/48, 7/20, 7/80, 339/160, 
  17/80, -1867/960, 25/192, -5651/960, -253/160, 6683/960, 3133/192, 49/30, 
  81/160, -2737/960, -56/5, 417/160, -11/16, 1/160, -9/40, -9/4, 701/480, 
  29/80, 1177/160, 23/20, -1/160, -717/160, -23/20, 29/96, -737/160, 
  -371/480, 949/960, 641/160, -19/16, -41/80, 41/80, -187/40, -1/4, 233/240, 
  -173/240, 183/80, -623/240, -111/80, 421/960, -1187/960, -4301/960, 
  -153/160, 241/160, -29/480, -59/120, -1331/640, 10081/1920, 19/30, 241/160, 
  2933/960, 961/480, -1013/960, -3/8, 11/15, -29/480, 723/160, 1129/160, 
  -59/120, -2261/1920, -1127/320, 131/60, 9481/1920, 205/96, -803/240, 
  -649/960, -889/960, -3/8, -289/480, -199/120, -637/480, 379/96, 4447/960, 
  35/64, -1403/240, -3823/960, 1/12, 1/12, -1/6, -1/240, -59/240, -19/240, 
  -7/12, 1069/960, 2029/960, -403/240, -503/240, 63/80, -53/192, -287/320, 
  -49/240, 47/60, -11/20, -4/3, -47/60, -41/20, 173/60, -5/6, -41/20, -67/60, 
  17/15, -7/3, 173/60, -4/15, -461/240, -5/6, -111/80, 39/64, 441/320, 
  111/80, -217/40, -455/48, 1211/120, 2531/1920, -409/1920, -2531/1920, 
  409/1920, 61/480, -21/80, -61/960, 61/480, -21/160, -21/80, 61/960, 11/16, 
  63/160, -11/8, 217/40, 67/240, 455/48, -9899/960, -1211/120, -67/240, 
  667/64, 217/40, 1587/160, -563/48, 5077/3840, -2729/768, 61/480, 217/40, 
  -463/960, -23/960, -1/2, 77/160, 5/8, 1587/160, 131/160, -7/20, -563/48, 
  4961/3840, -37/60, 23/960, -3569/768, 601/960, -3413/3840, 1, 11511/1280, 
  -9/8, -7/20, 12607/3840, 93/80, -72719/3840, -1/8, 91/480, -399/2560, 
  -8/135, -91/480, -3833/2560, -295/1536, 219/80, 1481/480, -7407/2560, 
  12547/8640, 33/160, -2561/1536, -8/135, -151/960, 3557/960, 79/240, 
  -383/960, -155/1728, 19/60, -17/240, 5/32, -37/240, -197/240, 195/512, 
  -419/4320, 5/32, -137/240, 6043/7680, -233/1536, 5/8, -3/32, -7/6, -23/12, 
  -3407/960, 4847/2560, -6463/8640, -1/240, -8/135, 7397/7680, 8/135, 
  -13/120, -37/120, -49/80, -137/192, -437/960, 3/16, -2471/2560, 5299/7680, 
  67/24, 38509/7680, -7/16, 1, 1451/2160, -3775/1728, -81/160, -61/60, 
  -887/1536, 207/80, 133/240, 1/30, -133/240, 21581/5760, -8173/960, 
  4871/1152, 16573/5760, -366221/34560, -32027/8640, 70853/8640, 48419/6912, 
  13097/5760, 5579/5760, 6217/2880, 10001/2304, -31693/3840, -5579/1440, 
  -8857/2880, 5359/11520, 409/640, 4711/1920, -420967/69120, -3589/13824, 
  174931/23040, 6207/1280, 52897/23040, -4981/5760, 623/120, -197/960, 
  5003/480, 4859/720, 13669/5760, 25451/2880, -23969/2304, -15269/1920, 
  -1661/384, -225559/69120, -355399/69120, -205001/23040, 7311/1280, 
  -56327/23040, 7843/640, 39101/7680, 47641/7680, -30935/1536, -6593/768, 
  -8317/2560, -4151/320, -12373/1280, 1379/1280, 459/640, -515/64, 6233/2560, 
  9713/2560, 2679/320, -67/480, 19/120, 5/2, 91/480, -1, 39/80, -7/48, 
  -797/480, 27/20, -33/160, -33/80, 571/480, -277/480, -1507/480, 259/120, 
  -91/240, 21/4, -571/480, -13/8, -5/32, -359/240, -323/120, 747/160, 17/480, 
  87/160, -281/480, -247/480, -169/120, 36037/5760, 54317/11520, 52009/11520, 
  -187387/11520, -27409/5760, 2707/3840, -457/320, -11617/1920, 901/2880, 
  -16927/5760, 128333/34560, 120413/34560, -32071/6912, 3281/34560, 
  -13097/5760, 2/3, 2, -19/4, -57/40, -3/10, -833/160, 29/10, 1089/160, 
  1387/480, 107/80, -121/80, 1283/240, -17/40, 79/80, -7277/1440, 
  -91897/23040, -49217/7680, 29711/4608, 66317/5760, 25291/4608, 2131/288, 
  397/144, -3323/3840, -517/192, 615547/69120, -4769/8640, -21631/2304, 
  -9949/1280, -52897/23040, -7037/1440, -18373/4608, -42913/23040, 
  133843/23040, -6713/2304, -7117/23040, 125/144, 15017/1440, 2393/3840, 
  119/320, 214507/69120, 70379/34560, 67447/11520, -25063/3840, 56327/23040, 
  1/4, -1/2, 1/4, -1/2, 1/2, 1/4, 1123/480, -719/480, -101/120, -463/80, 
  417/160, 331/96, 461/240, -461/240, -461/240, 1003/480, -27/320, -959/960, 
  389/320, 13/320, -641/120, -509/320, 467/960, 1561/480, 87/160, 713/960, 
  191/960, -87/160, 11/4, 27/320, -5279/960, -389/320, 1553/960, -1073/240, 
  509/320, 5899/960, 413/240, 49/30, -713/960, -2281/960, -49/30, 41/20, 
  17/30, 709/960, 2, -2, -27/20, -13/16, -13/30, 13/16, -167/960, -413/960, 
  -137/160, -49/60, 355/192, 41/192, -1961/480, 1361/480, -6/5, -1579/960, 
  7/20, 61/240, 1/4, 137/240, 55/192, 529/320, -7/192, 479/960, 2123/960, 
  -3331/960, 623/960, -61/480, 161/256, 1/2, -3787/1280, -7/40, -979/3840, 
  1293/640, -1409/768, -2221/960, 47/1280, -75/256, -61/48, -3491/1920, 
  47/1280, 2929/3840, -75/256, -10561/3840, -13/640, 413/480, 593/768, 
  -543/1280, -3/16, -879/640, -1183/1280, 27/20, -3941/3840, 1385/768, 
  -67/480, 2129/768, 543/640, 1, -737/1280, -1/2, 53/80, -1743/640, 
  -1407/1280, 47/40, -1505/768, -1313/1920, 397/480, 4061/3840, -49/96, 
  -469/960, 223/960, -1309/1920, -2203/640, -183/160, 5123/1920, -119/384, 
  -5053/3840, -175/192, 1113/640, 419/480, -47/1280, 167/960, 75/256, 
  -877/3840, 1811/1920, 47/1280, -31/80, -75/256, -2581/3840, 41/192, 
  -47/1280, 2821/3840, 75/256, 1187/1920, 1811/1920, 47/1280, -4883/3840, 
  -75/256, -133/160, 1031/1920, 7/20, -7/20, 79/80, -353/240, -21/80, -79/80, 
  2153/3840, 3251/3840, -679/768, -611/3840, 207/640, -413/480, 383/3840, 
  167/960, 601/3840, -699/256, 581/768, 1799/1280, -4387/768, -1121/960, 
  -31/80, -287/960, 2399/3840, 83/960, -173/480, -2927/1920, -961/3840, 
  -1217/3840, -955/256, 53/10, 1159/1280, -23567/3840, 8603/3840, -2659/3840, 
  409/960, -5233/640, 453/320, 469/960, -223/960, 1309/1920, 2203/640, 
  183/160, -5123/1920, 119/384, 5053/3840, 175/192, -1113/640, -71/240, 1/2, 
  -23/10, -13/20, 39/20, 1, -5/2, 4/5, 7/20, 7/20, 147/80, -79/80, -161/80, 
  37/40, 259/240, 413/480, -17/480, -167/960, 17/480, 13103/3840, 10313/3840, 
  13/80, 11689/3840, 7303/3840, 6541/3840, 581/480, -5353/1920, -367/960, 
  413/480, 6101/3840, 961/3840, -163/480, 20687/3840, -1069/640, 53/80, 
  17257/3840, -241/160, 797/240, 233/480, 6113/1280, -563/192, -3041/7680, 
  -32057/15360, -91/320, -9403/7680, -2929/1024, 1387/3840, 1717/480, 17/160, 
  161/960, 149/384, 7/640, -2971/1920, 821/1280, 6407/1536, 3679/640, 
  2119/160, -41/960, 127/60, 939/2560, 509/512, 161/128, -2539/960, 
  -34943/15360, -2333/1920, -1703/960, -931/240, -2099/640, 1703/960, 
  161/1920, -161/1920, -663/1280, 663/1280, 3563/960, -1771/960, -3563/960, 
  281/1920, 919/960, -673/160, 7/40, 673/160, -17/80, -919/960, -1/40, 
  -31/40, 6391/640, 227/480, 5689/1920, -7067/384, -18433/3840, -18347/960, 
  -125/12, 34525/1536, 38993/1920, -4349/3840, -307/120, -81/160, -77/16, 
  161/40, 14327/3840, 2159/128, 7451/960, -2917/7680, -4213/256, 2111/320, 
  2257/960, -1511/480, -2179/320, 281/1920, 743/960, -4261/960, -13/40, 
  -65/64, 1981/1440, 29107/2880, -509/720, 97/36, -103/120, -31/40, 
  11819/960, 323/1920, 459/320, -943/60, -42679/5760, -18347/960, -6229/384, 
  36967/23040, 38993/1920, -8713/3840, -259/120, 469/960, -70591/11520, 
  787/5760, 1643/640, 3185/192, 3173/640, -25891/3840, -57761/3840, 3187/480, 
  2669/480, 14477/2880, -3289/480, -2961/2560, -4969/1536, 9637/1920, 
  -49/256, -60509/46080, 305761/46080, -14077/1920, 51467/2880, 4987/288, 
  119/192, 29599/7680, -29539/2560, 209471/11520, -11953/1152, -66959/7680, 
  -201/80, 18563/1920, -28567/5760, -2879/480, -181/48, -181/960, -943/480, 
  -1533/640, -2287/960, 2969/640, 37/192, 7447/1920, -3941/960, -427/80, 
  -5041/384, 1537/240, 4231/960, -1373/1920, 271/320, -2731/960, -289/180, 
  -359/180, 25/36, -11/36, -13373/3840, -11357/3840, -53/120, -7139/1152, 
  -36479/5760, 251/160, -3521/640, -523/960, 140909/7680, -983/960, -199/192, 
  -4009/3840, 199/192, -4753/7680, -10407/2560, 1131/256, 4753/7680, 
  -89593/7680, 10407/2560, 230287/15360, -1131/256, -389/480, 217/40, 
  10999/3840, 581/480, 553/60, -1983/1280, -2893/240, -1349/320, -10433/3840, 
  1/192, -1377/128, -2549/768, 23491/1920, 227/120, -427/960, 2389/1920, 
  -359/320, -1/12, 23/60, 37/240, -1/2, -17/48, 1/5, -17/120, 431/480, 
  277/960, -121/160, -71/640, 71/640, -149/1440, -779/2880, -83/192, 
  937/2880, 35837/46080, 73/128, -263/240, -2717/15360, 839/960, -39/320, 
  13/1080, 443/480, 223/640, -5281/7680, 719/17280, 7339/17280, -149/1440, 
  -71/240, -1031/4608, 1871/2560, 937/2880, 110117/46080, 3487/3072, 
  -263/240, -8417/3072, 839/960, 179/192, 26257/69120, -8077/7680, 
  -6601/1920, -12931/7680, 19699/7680, -22051/17280, -95/288, 140947/69120, 
  823/1440, 41/1920, -6239/7680, 229/240, 49/80, -1/96, 15187/7680, -181/480, 
  -7/640, -2191/1920, -2659/3840, 29221/15360, -13787/7680, 373/7680, 
  -106619/15360, -1407/1280, 1427/1280, -2727/2560, 21127/15360, -2303/960, 
  -697/2560, -33/16, -49/80, -157/256, 8921/17280, -27/160, 19/15360, 
  7459/1440, 119/64, -25451/5120, 349/320, 779/960, 7/32, -169/3456, -19/120, 
  -181/480, 4031/720, -9167/768, 2231/480, -3037/640, 6151/384, -83771/2880, 
  2137/480, -84361/5760, 1029/640, 11879/3840, -169105/13824, -54743/11520, 
  -23509/1920, 607381/17280, -14401/3840, -7879/1920, 6481/23040, 97/640, 
  2063/960, -159/320, -1003/960, -149/192, -2797/720, 248981/230400, 
  145163/23040, 265143/32000, -151489/48000, 751/240, -915/1024, 241/480, 
  -208177/23040, 3613507/230400, 4666331/230400, -6811/3840, 595/2048, 
  25757/2048, -433/256, 1449/1280, 3431/1920, 1994659/276480, -649247/460800, 
  -1453093/1382400, 252971/15360, -2229/640, -17587/512, -15811/15360, 
  -171/640, -277/480, -3679/92160, 11017/1920, -1819/960, -159/320, 7/4, 
  18587/7680, 17/192, -12859/2880, 52027/11520, -2052977/230400, 51209/5760, 
  -780809/64000, -846257/144000, 751/240, -16299/5120, 79411/30720, 
  -216439/23040, 1176503/57600, 7070587/460800, -6811/3840, 1847/10240, 
  145769/10240, -433/256, -4693/3840, -39581/7680, -87/320, 429631/276480, 
  31832407/1382400, 14868491/1382400, 146309/5120, -215/6144, -60097/2048, 
  -33259/3072, 2177/1280, 2021/1920, -46547/18432, 1139/960, -379/960, 
  171/320, -1117/512, -1315157/230400, -230921/115200, 20383/1536, 
  -484381/230400, 1055881/128000, -2424487/115200, 2934943/384000, 
  2120881/144000, -5813/1280, 185203/30720, 218871/51200, 222293/10240, 
  -1626217/92160, -1028933/23040, -2867/1920, -136447/30720, -375129/10240, 
  28321/3840, -1159/384, 2013043/153600, -684041/460800, -200791/51200, 
  -8830901/345600, -7656283/460800, -337499/7680, -7080857/230400, 
  17248787/230400, 138263/7680, -1295/384, 27613/10240, -79361/30720, 
  -3607/1920, 839/240, 1/72, 1/8, -7/24, 161/3840, 2243/11520, -47/1440, 
  -193/720, 161/1280, 4913/11520, 17/720, 161/1280, 3097/11520, -7/1440, 
  -1897/7680, -1897/7680, 1241/1280, 1241/1280, 427/256, 427/256, -1/18, 
  43969/23040, 45889/23040, -9211/2304, -9211/2304, 15403/7680, 45569/23040, 
  47/360, 173681/46080, 56443/15360, -176929/46080, -59531/15360, -17/180, 
  -273211/46080, -272699/46080, 7/360, -2157/640, 27473/7680, 18007/2560, 
  -17413/7680, -18077/7680, 140369/7680, 15367/15360, -214931/15360, 
  -22897/1536, -5041/3840, -4469/1280, -4183/1920, 5041/3840, 563/360, 
  -6631/1536, 167/240, 181/192, 247/128, 71599/23040, -23057/23040, 
  31313/2880, 8983/1440, 32693/11520, -45769/4608, -378701/23040, 
  206171/23040, 486961/23040, 182863/11520, 2207/1024, -41287/3840, 
  -22289/1920, -145759/15360, -31157/10240, 167759/15360, 898507/30720, 
  9087/10240, 4359/1280, 203/768, 371/240, -4359/1280, 563/360, -11/30, 
  3683/4608, -1421/120, -16451/7680, 33931/5760, -21335/1536, 2221/2560, 
  13757/3840, 116693/11520, -23057/23040, 10021/1536, 956621/46080, 
  39503/4608, 949483/46080, 3197/1440, -378701/23040, 209237/23040, 
  105599/4608, 182863/11520, 1407/1024, -41507/15360, -10687/7680, 
  -33437/5120, -44009/3072, -100027/7680, -128063/30720, 453497/30720, 
  216041/15360, 85853/30720, 7039/1280, 1539/1280, 4377/1280, -7039/1280, 
  -1619/2880, -5063/1280, -297301/38400, -262409/57600, -11549/960, 
  100841/6400, 2339519/384000, 1393781/57600, -3123509/576000, -118319/6000, 
  1607/180, -278627/92160, 1855157/460800, -47803/2048, 10447573/460800, 
  3336983/76800, 10949/2880, 21803/4608, 245041/11520, -5233/360, 38507/2880, 
  -8116651/230400, -1401569/345600, 1814483/153600, 307590169/6912000, 
  22904693/2304000, 23849/576, 9201347/172800, -11223329/115200, 
  -1795997/46080, -11929753/1382400, -4007711/460800, 11151541/691200, 
  -2378059/460800, -231073/92160, -277/480, -58189/15360, -176861/15360, 
  1984099/76800, 5972039/230400, -4361431/230400, -6410087/288000, 
  16643/1920, 103307/23040, -124297/7680, 2543557/153600, 19351253/460800, 
  7813/1920, -1144427/92160, 133391/30720, -3491/240, 38357/4608, 
  383713/230400, 3789481/460800, 202302281/6912000, 16609723/768000, -179/36, 
  10201361/691200, -17194109/230400, 88993/2560, -408763/1382400, 
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