  We investigate the eigenvalue spectrum of the staggered Dirac matrix in two
color QCD at finite chemical potential. The profiles of complex eigenvalues
close to the origin are compared to a complex generalization of the chiral
Gaussian Symplectic Ensemble, confirming its predictions for weak and strong
non-Hermiticity. They differ from the QCD symmetry class with three colors by a
level repulsion from both the real and imaginary axis.
