Detecting eigenvalue degeneracy

[CyLith]

I was wondering if there is a way to detect eigenvalue degeneracy (say, from the output of zgeev) other than performing some kind of clustering or epsilon-test on the eigenvalues themselves. I don't know enough about the QR algorithm to know if this kind of information is already computed somewhere along the way. I am perfectly willing to modify the existing code to obtain this information if I have to.