k[1] = 111793/500
k[2] = 35035932813551/2000000000000
k[3] = 174996134575763/10000000000000
k[4] = 1052004505071/500000000000
k[5] = 399850475956441/1000000000000000
k[6] = 10949959740211/6250000000
k[7] = 258219489840727/1000000000000000
k[8] = 33282428730513/1000000000000000
k[9] = 158436847330977/200000000000
k[10] = 1
k[11] = 9002187652053/62500000000000
k[12] = 304372961307751/10000000000000000
k[13] = 398630224594983/100000000000000
k[14] = 5069458643727/10000000000000
k[15] = 12504722108289/12500000000000
k[16] = 136053256817049/50000000000000
k[17] = 86812480657727/250000000000000
k[18] = 24983580479629/200000000000000
k[19] = 80645237284561/50000000000000
k[20] = 435249427068347/50000000000000
k[21] = 81960761465481/5000000000000000
k[22] = 44857919268227/10000000000000
k[23] = 216282986207003/250000000000000000
k[24] = 32626727571413/12500000000000
k[25] = 876347503049301/10000000000000000
k[26] = 414415667607617/1000000000000000
k[27] = 103940411358367/100000000000000000
k[28] = 127440976776337/500000000000000
k[29] = 50636143284389/50000000000000
k[30] = 57580222283761/6250000000000
k[31] = 2000000
k[32] = 87695023971519/1250000000000000
k[33] = 4019336667671/2500000000000
k[34] = 36661530982123/625000000000000
k[35] = 1250492172809/1250000000000000
k[36] = 514084012175461/1000000000000000000
k[37] = 480202699360057/100000000000000000
k[38] = 20480365946897/20000000000000000
k[39] = 498548548076033/100000000000000
k[40] = 495559496701657/100000000000000
k[41] = 441227519053011/500000000000000
k[42] = 481424700307387/100000000000000
k[43] = 360091117317657/500000000000000
k[44] = 523181439900629/100000000000000000
k[45] = 495079032741951/5000000000000000
k[46] = 18094811/50000000000
k[47] = 254130031757049/10000000000000000
k[48] = 799700951912882000/2104523094154175461
k[49] = 2
k[50] = 1