{{1, 19/30, 4/15, -1/3, 1/3, -2/3, 31/15, -7/5, 1/5, -3/10, -3/10, 3/10, 1/3, 
  -29/90, 1/5, -31/30, 257/360, 7/10, 89/360, 3/40, -1/5, -113/360, 1/3, 
  -29/90, 1/5, -31/30, -211/360, 7/10, 89/360, 3/40, -1/5, -113/360, 1/5, 
  73/20, -2/5, -23/10, 28/45, 212/45, 251/30, 3583/864, 1249/1080, -89/180, 
  4/45, 1/9, -29/90, 1/5, -88/45, 4/45, -119/720, 49/30, -1/20, -1/5, 
  395/864, -37/48, -149/60, -2257/2160, 1465/864, -41/30, -1171/720, -89/180, 
  25/36, -797/720, 4/45, 1/9, 1/6, -29/90, 3/20, 1/5, -88/45, 4/45, -11/30, 
  -119/720, 49/30, -1/20, -1/5, -4/5, 539/864, 21/32, 89/480, -149/60, 
  -1177/2160, -2899/4320, -41/30, -931/720, -89/180, -377/1440, -13/144, 
  11/45, -181/480, -9/40, 83/90, 37/36, -14/15, -3/10, -2/9, 1579/1440, 3/10, 
  -29/90, -233/320, 1/5, 71/90, 193/2160, -1003/1440, -52/15, -461/4320, 
  41/72, -137/240, 799/2160, 89/180, 4/45, 8/45, 61/1440, -1471/2880, -1/16, 
  1/5, -88/45, 163/180, 3/10, 7/36, 49/30, -43/60, 1/10, -22/45, -41/96, 
  1673/1728, 27/80, -29/90, -1343/1920, 1/5, -223/90, -2257/2160, 7/30, 
  7193/4320, -41/288, -5/2, -161/60, -1727/1440, -89/180, -47/480, 1489/5760, 
  22/15, -2113/4320, 641/480, 37/30, 883/720, 89/180, -1/5, -859/720, -29/15, 
  -3/5, 343/30, 2/15, 3/5, -229/30, -29/15, 49/15, 6/5, 367/30, -226/15, 
  -14/5, 113/15, -6/5, 112/15, -8/5, -98/15, 122/15, -4/15, 62/15, 89/40, 
  -2191/300, 101/10, -41/64, -7289/576, -427/30, 239/80, 4/15, 62/15, 13/5, 
  41/64, 731/120, 2411/480, -14021/4800, 101/10, 1747/320, -13309/2880, 
  -427/30, -1/15, -41/64, -763/960, 1/3, -136/15, -229/64, -1917/1600, 
  -26833/2880, -947/320, 32749/2400, -307/15, -3743/960, 1023/64, 443/15, 
  -155/72, -451/320, -2113/960, 583/360, 3/5, -2/5, -3/5, -3/5, 2, -1, 
  -46/45, 61/80, 1/180, 8/45, -7/16, 289/90, -911/240, -31/45, 7/20, 47/20, 
  46/45, 41/48, -17/15, -1601/1440, -3/8, 127/60, -1/4, 3/10, 1/90, 26/5, 
  181/360, -1489/240, 49/30, 473/60, -1/3, -41/48, 3553/720, 327/320, -1/2, 
  5/12, -103/540, 68/45, -98/15, -883/720, -89/180, 1/5, 859/720, 1/9, 
  -29/45, 2/5, 67/180, -79/180, -17/60, -17/30, -571/2160, 29/480, 1/20, 
  10019/4320, -131/60, 899/720, -97/288, -1859/720, 122/45, -41/64, -409/45, 
  -6293/2880, -223/160, -12839/1440, -16541/2400, 31309/2400, 419/36, 
  -595/36, -8887/960, 59477/2880, -293/30, 98/3, -46/15, 451/192, 
  -53251/8640, -641/640, 21977/9600, -221/60, 5797/8640, 56299/8640, 243/20, 
  -59/720, 89/180, -287/1440, 367/144, -1/45, 193/288, 3/20, 2083/2880, 
  -67/80, -4/5, 101/36, 61/180, -193/720, -67/30, -3/5, 44/135, -3/40, 
  3169/2880, -125/384, -4/5, 61/60, 577/864, -239/240, -141/20, -6431/4320, 
  31/90, -931/1920, 2377/1440, 187/120, 73/90, 59/108, 1/4, -74/45, -47/108, 
  27/10, 1/5, -17/30, 1/20, 32/15, -193/96, -9/20, -329/480, 2833/800, -9/10, 
  -32/5, -5/12, -6391/1440, 149/30, -1103/288, -9/40, 381/320, -2827/480, 
  -169/40, 5/3, -41/16, 163/60, -122/15, 41/16, -551/240, 2/15, -35/48, 
  -9/20, -245/96, 57/40, 39/10, -2/15, -97/60, -171/40, 119/10, 457/72, 
  27/20, -49/320, 469/720, -847/240, -49/30, -118/45, -6/5, 377/576, 
  3083/800, -31/20, -263/30, 94/45, 543/160, -32989/2880, -1003/800, 223/640, 
  417/160, 769/640, 1/15, 193/72, 3/5, 443/180, -67/20, -13/4, 141/10, 34/45, 
  -371/180, -121/10, 4979/2160, -9/20, -23/240, 311/90, 41/12, 149/15, 
  -1331/960, 1369/1600, 473/64, 32701/4800, -26509/2400, 51/10, 103/48, 
  -3551/180, -61/3, 8461/1440, 1297/400, 23479/4800, -4627/720, -7919/960, 
  -187/30, 949/2880, -2329/1600, -30607/2880, -14581/4800, 28789/2400, -97/6, 
  -2521/720, 70/3, 139/5, -12877/1440, -467/400, -6317/2400, -1231/720, 
  3431/960, -13/15, -1373/1440, 3/20, -227/2880, 43/80, 2/5, -7/12, -263/180, 
  1853/720, -5/2, -203/2880, -2063/800, -293/640, 4193/720, 4507/1920, 21/80, 
  -21/80, 1/2, 21/80, -43/80, -21/80, -13/30, 2/5, -7/60, 53/240, -1/6, 
  283/240, 7/10, -859/2880, 1/5, -2237/2880, -137/640, -51/80, -143/240, 
  1/30, 397/640, 137/640, -1/60, 7/10, -859/2880, 1/5, -2957/2880, -297/640, 
  -51/80, -143/240, 1/30, 397/640, 297/640, -1/60, -7/10, 859/2880, 349/480, 
  51/80, -1/20, -1/6, -493/720, -73/80, 7/10, -859/2880, 17/120, -2237/2880, 
  -137/640, -21/40, -51/80, -233/480, 21/40, -1/20, 397/640, 137/640, 55/96, 
  -7/10, 859/2880, -71/40, 2957/2880, 297/640, -21/40, 51/80, 207/160, 21/40, 
  5/4, -397/640, -297/640, -273/160, 11/15, -751/2880, -67/480, 349/480, 
  137/320, 17/120, 2077/2880, -7/6, -7/8, -121/240, -701/2880, -137/320, 
  49/240, 1/2, 1/20, 1/20, 21/40, -43/80, -21/40, -13/30, -1/20, 2/5, -11/30, 
  -253/1152, 859/5760, 1129/2880, -53/128, -17/240, -241/5760, 31/90, 7/16, 
  -113/1440, -1703/5760, 53/128, -31/90, -11/30, 2767/5760, -859/5760, 
  1129/2880, -349/480, -53/128, -17/240, -3913/5760, 25/36, 7/16, 127/1440, 
  249/640, 53/128, 409/720, 7/10, -859/2880, -1/3, 3983/5760, -51/80, -21/80, 
  -1/5, -23/30, 4061/5760, -4/15, -5383/5760, -379/640, 11/240, -131/120, 
  1/15, -781/1920, 379/640, 71/120, -23/45, 437/2880, 1/10, 55567/11520, 
  179/48, 265/384, -2837/2880, -439/1280, 619/360, -1187/1440, -151/96, 
  -44581/5760, -5729/1920, -1/15, 463/240, -17/45, 19733/11520, 8201/5760, 
  -4771/1152, -3805/1152, -83/1280, 293/288, 2849/3456, 167/1440, -113/16, 
  -24767/8640, -43/60, -243/256, 16957/17280, 4657/11520, 1/9, -8533/11520, 
  -9/80, -7/45, -639/256, 3671/5760, 133/1152, 8827/3840, -201/1280, 
  -739/1440, -949/5760, 641/1440, 118/45, 5803/5760, 7/60, -11/24, 2/15, 
  71/144, -271/480, 9233/8640, -4721/2880, 371/1920, -113/240, -23569/17280, 
  -3539/3456, 397/240, 821/1440, 5039/11520, 2327/11520, 199/1440, 1/9, 
  -8533/11520, -9/80, -7/45, -1661/768, -5471/1920, 133/1152, -3083/2304, 
  -201/1280, -739/1440, -949/5760, 641/1440, 1981/720, 7531/5760, 7/60, 
  -11/24, 2/15, 883/720, -251/576, 9809/8640, 563/288, 7/960, -113/240, 
  -10681/17280, -8767/17280, 397/240, 1013/1440, 1927/3840, 4469/11520, 
  31/1440, -2/9, 223/256, 211/5760, 1751/5760, -293/320, -201/1280, 
  -223/1440, 623/2880, 469/720, 11/120, 1/20, 19/90, -33343/11520, -73/288, 
  263/5760, 2987/1920, 73/1280, 19/288, 18377/17280, 2177/1152, 527/240, 
  9461/8640, -2927/11520, 281/480, -4901/3456, -4657/11520, 1/9, -8533/11520, 
  -9/80, -2/9, -3533/3840, 3671/5760, 1751/5760, 8557/11520, -201/1280, 
  -1117/1440, -949/5760, -391/1440, -439/480, -6167/5760, 91/240, 31/120, 
  1/20, -7/90, 11753/11520, -217/480, 13/1920, -9343/5760, 29/90, 73/1280, 
  -1/5, 1669/1440, -289/270, 1/20, 3533/4320, 731/1152, 163/120, 211/120, 
  -1/30, 61/320, 9083/11520, 143/480, 851/11520, 29/60, 8567/8640, 
  -2057/1920, -133/120, -677/1440, -2579/11520, 1/5, 629/1440, 37/270, 
  109/540, 1439/2880, 11/15, -3601/1920, 731/640, -1037/540, 781/320, 
  467/540, 9647/8640, -731/640, -4919/2160, -1439/1440, -1/5, 1/5, 6/5, -1/3, 
  2/5, 373/120, -371/720, 349/180, -697/720, -349/180, -181/360, 697/720, 
  181/360, -21/10, 859/960, 1/10, 10163/2880, 1727/640, 153/80, -127/30, 
  -1847/1152, -1727/640, 149/60, -19/30, 17867/5760, -6013/5760, 233/64, 
  -1539/320, -1727/320, -133/60, -23237/5760, 1541/480, 7/20, -841/160, 
  965/576, 1727/320, 139/480, 517/45, -4117/360, -66701/57600, -2861/360, 
  -28703/2880, -2101/120, 50903/17280, -150337/34560, -6857/1080, 
  5813/259200, -851/180, 31/40, -1387/720, -55273/8640, 13303/5760, -7/6, 
  -13173/320, -1033/135, 871/60, -23141/3456, -12589/960, -2/15, 21/160, 
  217/1280, -4/5, 143/180, 1/20, 9/5, -1493/2880, -17/16, -77/2880, -1/20, 
  -391/1152, -651/1280, 56/15, -833/1080, -763/10800, -1873/270, -6697/86400, 
  83027/28800, -83/24, -347/2880, -923/960, -233/40, 111/80, -15527/32400, 
  -229991/64800, -2159/720, 371/720, -5, 833/1080, 763/10800, 95489/17280, 
  -2791/21600, 50237/57600, 403/240, 103/2880, 7643/1440, 449/60, -111/80, 
  15527/32400, 462817/259200, 521/160, -371/720, -5, -859/1080, 839/5400, 
  60929/17280, -7853/10800, -67/6400, 403/240, -3917/2880, 3953/1440, 449/60, 
  -157/240, 8869/64800, 561997/259200, 187/160, -371/1440, 17/45, -307/8640, 
  -1631/21600, -89/120, 7291/19200, 329/640, 1339/720, 1103/1152, 8839/5760, 
  151/240, 6829/17280, -1927/6480, -24811/19200, -1213/4320, 261307/259200, 
  -13/90, -1013/4800, 2273/4800, -617/1600, 197/1800, 687/6400, -11/120, 
  -7903/21600, -629/1920, 9271/57600, 7283/34560, 359/1800, -13/90, 
  2347/4800, 2273/4800, -1123/2304, -617/1600, 197/1800, -67/80, 1327/6400, 
  -11/120, -4303/21600, 33/1280, 271/600, 45731/34560, 13393/57600, 3/160, 
  49/1920, 1/5, 2623/11520, -1601/2880, -2839/11520, -809/17280, 1/8, 
  12041/34560, 4351/8640, 809/17280, -1/8, -11603/17280, -4351/8640, 
  2233/6912, 799/360, -1/4, 1093/3840, -12751/34560, -361/160, 307/288, 
  22453/8640, -17473/17280, -7/30, 3401/360, 80561/34560, 22877/11520, 
  18967/8640, -463/5760, 799/360, -1/4, 97/768, -8687/34560, 8047/3840, 
  307/288, 22453/8640, -20893/17280, -7/30, 1747/180, 35849/11520, -1033/160, 
  5557/8640, 7699/1920, 13/90, -11/80, -1109/1920, 197/1280, 3/10, -37/360, 
  10367/17280, 271/5760, 49/60, 13901/1152, 4357/3456, -12913/2304, 248/135, 
  14267/2880, 101/180, 6917/11520, 3/80, 11/15, -1811/11520, -1441/3840, 
  -3601/1920, -29/96, 731/640, -1007/540, -47/720, -337/180, 9251/11520, 
  4751/1920, 719/540, 101/90, -16/135, -1259/1728, 697/2880, 8827/17280, 
  847/720, -43/128, -553/1080, -27719/34560, -23851/17280, 53/180, -271/2880, 
  -7969/5760, -65/36, -13/160, -16/45, -13453/11520, -9/80, -2/15, 1913/5760, 
  -41/192, 125/96, -3341/3840, -2933/1280, -1187/288, 841/1152, -193/160, 
  4699/1920, 223/128, 613/240, -639/160, 1/5, 193/288, -1163/5760, 
  -4907/1440, 2059/3840, 1663/640, -509/480, -247/108, 301/1152, 443/160, 
  653/1440, -497/5760, -393/1280, -617/1440, 113/90, 12013/11520, -3/80, 
  -73/180, -9271/11520, -9527/5760, 3961/5760, -3467/3840, -457/1280, 
  455/288, 2453/5760, 953/1440, 433/720, 6011/5760, -409/240, -39/80, -8/15, 
  1639/2160, 31/720, 16253/8640, 3539/2880, 151/960, 629/480, 329/540, 
  -4409/2160, 259/480, -1163/3840, 5953/23040, 4231/23040, 739/768, 
  -217/2560, -319/90, 49327/34560, 989/5400, 8/15, 70777/11520, -2567/4800, 
  -961/640, -127433/57600, 1371/1280, 3667/1440, 1643/5760, 767/480, 
  2993/720, 12791/5760, 1307/240, 217/240, 137/30, -6953/4320, 87467/129600, 
  -2921/1728, 20281/4800, -10739/5760, -11/240, 63751/17280, -25337/5760, 
  -689/80, 187/720, -420737/518400, -2249/3840, -109/360, -13/45, 
  -36653/57600, -3/40, 19819/28800, 329/768, -3199/6400, 1759/7200, 
  -265/1152, -3103/4800, -101/240, 1/5, 13/45, 5331/6400, -4297/11520, 
  -19819/28800, -13151/28800, 3199/6400, 2561/7200, -2359/17280, 7879/14400, 
  71/40, -5663/28800, 36499/57600, 1627/57600, 1225/1728, -5347/28800, 
  799/360, -1/4, 16/45, -2659/17280, -25711/34560, -41/48, -6257/3456, 
  713/1280, 307/288, 22453/8640, -713/1440, -1387/5760, 979/256, -7/30, 
  437/480, -493/360, 103999/11520, 93089/34560, 323747/34560, 112501/34560, 
  -14269/5760, 527/720, 2183/1728, -245071/34560, -1109/480, -57113/8640, 
  -12103/6912, 369/320, 10081/3456, 8837/11520, -77/60, 1667/2700, 
  1573/10800, 44029/57600, -112877/57600, 9629/19200, -8819/21600, 
  -3853/5760, 86699/19200, 2573/540, 251327/86400, 281041/259200, 777/800, 
  5921/3840, -29663/57600, -23/5, 551/432, 18989/86400, 673/160, -151/960, 
  707/160, -77/40, 87647/518400, 913/720, -41/45, 15313/7200, -2999/5760, 
  961/225, -4919/1440, -29293/6400, 19223/7200, -261/160, 4151/7200, 
  -3113/480, -49889/10800, 83/1280, 181031/57600, 27383/8640, 57959/28800, 
  169/36, -6575/3456, 1111/1440, -19421/2880, 99779/172800, 8573/1280, 
  1897/720, 39539/8640, -1571/2880, 21/40, 2603/320, 314221/172800, -87/20, 
  -6709/2880, -601/256, 23/90, -49949/28800, -539/1152, -17099/7200, 
  20839/11520, 34811/14400, -23783/3600, -79/320, 1619/3600, 2707/480, 
  -7303/43200, 187/576, -44567/57600, -90103/34560, -21751/9600, -413/45, 
  -62143/43200, -50111/43200, -14941/1600, -2653/600, 62069/4800, 
  -20137/1800, -7409/2880, 301363/14400, 3283/120, -125689/43200, 
  -678347/259200, -24169/4800, 7853/2160, 1348643/259200, 349/90, 
  61529/17280, 2849/1600, 111607/5760, 255223/172800, -620519/34560, 952/45, 
  6671/8640, -45661/2160, -431/15, -1987/1440, 1063/19200, 5135011/518400, 
  5491/8640, -56699/16200, 52/45, -58819/86400, -2/5, -14033/7200, 
  50447/34560, 537/400, -101/225, 24709/8640, -20023/14400, 17/6, 
  -51769/28800, 567031/172800, -9887/10800, -647/2880, -282713/86400}}
