Hexagonal lattice in reciprocal space

[lyon0100]

Can anyone help me find the reciprical coordinates of the K and M points in a simple hexagonal brilloiun zone? I have the lattice vectors and the reciprocal vectors, but I can't get the right coords (in recip coords) for the K point (the corner of the hexagon) and the M point (half way between 2 K points).
Thanks so much

 

[read]

http://www.cryst.ehu.es/cgi-bin/cryst/programs/nph-kv-list?gnum=191"