k[1] = 1
k[2] = 5
k[3] = 770
k[4] = 420
k[5] = 770
k[6] = 5
k[7] = 27/500
k[8] = 1/50
k[9] = 11/25
k[10] = 33/500
k[11] = 9999997/10000000
k[12] = 1699999/10000
k[13] = 2399999/1000000