Defect point inside slab phc

Dear Mpb users, 

I  compute with MPB a defect (missing 3 air holes  in gamma-k direction)
in a phc (triangular lattice composed of air holes inside a dielectric
slab). I compute the diagram band with the list-k points (gamma, M,
K ,gamma).

At k point, I obtained the same frequency and field pattern (for my
defect state) than meep simulation with harminv.
At M point, I obtained different modes with different patterns.

I expected to obtained the same pattern for the defect modes at
different k point since the defect state is independent of K, is that
right ? 
The fact to compute the band with a list of K-point, does it cause wrong
result? (if it is the case, I don't get why), or is there another
explanation ? or, simply, my reasoning is wrong.

Regards, 

Cedric Perrotton
Master's student