eigenvects function returning wrong answers for complex eigenvectors

[parisse]

The algorithm I'm using for diagonalization is a generic algorithm that does not check for real matrix/complex conjugate answers. I'd like to point that *the answer is perfectly correct, not wrong* : you can multiply an eigenvector by any non-zero constant and you will still get an eigenvector, the title of this thread is therefore misleading.
Remarks:
1/ for approx matrices, the expected normalization of eigenvectors is probably a vector of norm 1. For exact matrices, I don't think there is a convention.
2/ eigenvects(exact(a)) or jordan(exact(a)) returns simple answers, and you can of course replace in this answer an eigenvector by the conjugate eigenvector of the conjugate eigenvalue.