k[1] = 0
k[2] = 100
k[3] = 1309/2500000000000000
k[4] = 14399/125000000000000000
k[5] = 51051/5000000000000000
k[6] = 282741/5000000000000000000000
k[7] = 1309/62500000000000
k[8] = 14399/5000000000000000
k[9] = 43773/200000000000000
k[10] = 314159/500000000000000000
k[11] = 121737/5000000000000000
k[12] = 33301/10000000000000000
k[13] = 314159/500000000000000000
k[14] = 2
k[15] = 1
k[16] = 62496021135727/6250000000000