k1 = 1/5
k2 = 420467092599869/500000000000000
k3 = 55069267386123/25000000000000
k4 = 1527008609158553/20000000000000
k5 = 120
k6 = 7994497695001/4000000000000
k7 = 244890375207854787969804290882092215119191/192000000000000000000000000000000000000000
k8 = 137553007555861/1000000000000000
k9 = 101961166850901/125000000000000
k10 = 304586590049657/50000000000000
k11 = 242908532752465070558567520972847500687/4000000000000000000000000000000000000
k12 = 172622515189057/1000000000000000
k13 = 827377484810943/1000000000000000
k14 = 46757657636931/1000000000000000
k15 = 46757657636931/500000000000000
k16 = 15709821429/10000000000
k17 = 189811268010923/5000000000000000
k18 = 15709821429/10000000000
k19 = 15709821429/10000000000
k20 = 15709821429/10000000000
k21 = 1