k1 = 2/78125
k2 = 8/3125
k3 = 663/100
k4 = 21/12500
k5 = 3/3125
k6 = 3/2000
k7 = 23/25000
k8 = 19/10000
k9 = 8/3125
k10 = 1/2
k11 = 21/12500
k12 = 663/100
k13 = 1/200
k14 = 1/2
k15 = 1/200
k16 = 1/2
k17 = 1/200
k18 = 1/2
k19 = 1
k20 = 1
k21 = 21/100
k22 = 1/2
k23 = 269/1000000000000000
k24 = 113/1000000000000000
k26 = 15000783/5000000
k25 = 30090063/10000000
k28 = 95581/10000000
k27 = 16993/10000000
k30 = 48641/5000000
k29 = 501987/10000000