Numerically calculate a histogram of the distribution of eigenvalues of \(\Gamma \times \Gamma\) GOE random matrices for moderate values of \(\Gamma\), and show that the distribution \(P(\lambda)\) is close to the limiting large- \(\Gamma\) semicircular eigenvalue distribution \(ho(x)=\sqrt{4-x^{2}} / 2 \pi\), where \(x=\lambda / \sqrt{\Gamma}\).