k[1] = 231/500
k[2] = 19/100000000000
k[3] = 27/20000
k[4] = 193/100000
k[5] = 9/2500
k[6] = 1/10000
k[7] = 1/1000
k[8] = 3
k[9] = 4
k[10] = 11/1000
k[11] = 73/4000
k[12] = 1