k1 = 1/10
k2 = 420467092599869/1000000000000000
k3 = 55069267386123/50000000000000
k4 = 1495588966300553/20000000000000
k5 = 120
k6 = 36779737044933/20000000000000
k7 = 389066458140967532339483328595180417255401/320000000000000000000000000000000000000000
k8 = 9018759018759/62500000000000
k9 = 53481240981241/62500000000000
k10 = 147002558002553/25000000000000
k11 = 121454266376232554106270728286370779423/2000000000000000000000000000000000000
k12 = 172622515189057/1000000000000000
k13 = 827377484810943/1000000000000000
k14 = 1