  We generalize our former localization result about the principal Dirichlet
eigenvector of the i.i.d. heavy-tailed random conductance Laplacian to the
first $k$ eigenvectors. We overcome the complication that the higher
eigenvectors have fluctuating signs by invoking the Bauer-Fike theorem to show
that the $k$th eigenvector is close to the principal eigenvector of an
auxiliary spectral problem.
