k1 = 588783148144923/1000000000000000
k2 = 114598191621279/1000000000000000
k3 = 355183987378767/1000000000000000
k4 = 58872345769809/500000000000000
k5 = 100000000000003/100000000000000000000
k6 = 20001799972057/20000000000000000000
k7 = 162471039450073/1000000000000
k8 = 191297262771509/1000000000000
k9 = 131984219165251/100000000000
k10 = 645999307230137/1000000000000
k11 = 85438890403697/12500000000000
k12 = 28219407624011/250000000000000
k13 = 197034304659041/5000000000000
k14 = 407307409980937/1000000000000
k15 = 426091167840583/5000000000000000
k16 = 133594212383381/2000000000000000
k17 = 920526565951487/10000000000000000
k18 = 596841598127919/10000000000000000
k19 = 57735769471617/6250000000
k20 = 162862384561137/500000000000000
k21 = 118873655169353/1000000000000000
k22 = 91092957615177/20000000000000
k23 = 386414745483539/500000000000
k24 = 20192645073029/6250000000000
k25 = 502329152478409/100000000000000000
k26 = 359214586722219/5000000000000000
k27 = 1
k28 = 1
k29 = 50004498363847/5000000000000000000
k30 = 701139988718817/10000000000000000
k31 = 100000000000011/100000000000000000000
k32 = 154821166783837/1000000000000000
k33 = 66810061799101/5000000000000000
k34 = 58915457309741/1000000000000000000
k35 = 11232996494689/50000000000000
k36 = 30651903722779/25000000000000000
k37 = 135347628753573/5000000000000000
k38 = 494101368038079/50000000000
k39 = 586017882122243/100000000000000000
k40 = 109458423149719/100000000000
k41 = 29840734372287/31250000000000
k42 = 1
k43 = 1
k44 = 1
k45 = 1
k46 = 1
k47 = 1
k48 = 1
k49 = 1
k50 = 1
k51 = 1
k52 = 1
k53 = 1
k54 = 1
k55 = 1
k56 = 1
k57 = 20
k58 = 20
k59 = 20
k60 = 35
k61 = 26