k1 = 1/50
k2 = 1096119423/2000000000
k3 = 944338309/500000000
k4 = 746728086949361/10000000000000
k5 = 106090440772217/1000000000000
k6 = 249828053/125000000
k7 = 1224372434018557141566569050370849451/1205573190593375000000000000000000000
k8 = 12241102221402998526331/232012016212744100000000
k9 = 98652827/156250000
k10 = 1058581849/100000000
k11 = 8104001078261174959272626909130835101/96445855247470000000000000000000000
k12 = 1949540411/10000000000
k13 = 8050459589/10000000000
k14 = 1832090242206401314030413/5800300405318602500000000
k15 = 2337873603/2500000000
k16 = 783656669828271/1000000000000000
k17 = 838679653/5000000000
k18 = 19205783238971/125000000000000
k19 = 38411411216101/2500000000000
k20 = 67601459488567/25000000000000
k21 = 1