k1 = 1
k2 = 111793/500
k3 = 426207755345663/10000000000000
k4 = 527208703718069/10000000000000
k5 = 39658600218403/20000000000000
k6 = 102524649407211/250000000000000
k7 = 1168339445699/781250000
k8 = 390971136785711/1000000000000000
k9 = 187008145763973/10000000000000000
k10 = 116216394720523/250000000000
k11 = 1
k12 = 9002187652053/62500000000000
k13 = 304372961307751/10000000000000000
k14 = 398630224594983/100000000000000
k15 = 13443785198193/12500000000000
k16 = 12504722108289/12500000000000
k17 = 136053256817049/50000000000000
k18 = 28032864215081/25000000000000
k19 = 164002847372207/1000000000000000
k20 = 80645237284561/50000000000000
k21 = 435249427068347/50000000000000
k22 = 81960761465481/5000000000000000
k23 = 44857919268227/10000000000000
k24 = 216282986207003/250000000000000000
k25 = 32626727571413/12500000000000
k26 = 26021012395249/200000000000000
k27 = 9901935816937/31250000000000
k28 = 103940411358367/100000000000000000
k29 = 88056243056179/250000000000000
k30 = 31179391831721/25000000000000
k31 = 776909435020809/100000000000000
k32 = 2000000
k33 = 87695023971519/1250000000000000
k34 = 4019336667671/2500000000000
k35 = 36661530982123/625000000000000
k36 = 1250492172809/1250000000000000
k37 = 514084012175461/1000000000000000000
k38 = 480202699360057/100000000000000000
k39 = 20480365946897/20000000000000000
k40 = 498548548076033/100000000000000
k41 = 495559496701657/100000000000000
k42 = 441227519053011/500000000000000
k43 = 481424700307387/100000000000000
k44 = 360091117317657/500000000000000
k45 = 523181439900629/100000000000000000
k46 = 495079032741951/5000000000000000
k47 = 18094811/50000000000
k48 = 113977201802829/12500000000000000
k49 = 273399065085896000/661148031644108487
k50 = 2
k51 = 1