A two-dimensional Sn computer code was modified to enable the calculation of α eigenvectors. Entire sets of eigenvectors were determined for sample problems involving extremely coarse mesh structures. A large percentage of the higher harmonics were complex and, for a majority of the cases investigated, the eigenvectors were not complete. For these latter cases the generalized eigenvectors were found, which together with the ordinary eigenvectors do form complete sets. The simple cases analyzed thus far give considerable insight into the eigenvector structure of more complex systems.