k[1] = 1/10000000000000
k[2] = 53/250
k[3] = 29/10
k[4] = 38/25
k[5] = 19/100
k[6] = 122/25
k[7] = 59/50
k[8] = 31/25
k[9] = 2909/100
k[10] = 806/25
k[11] = 679/50
k[12] = 4/25
k[13] = 153