  We numerically investigate the guiding center stucture factors of several
states in the Read-Rezayi family. Using exact diagonalizations on the torus and
density matrix renormalization group on an infinite cylinder, we test a
conjecture proposed in [Can et al, Phys. Rev. Lett. 113 (2014)] for the $\nu =
\frac{3}{5}$ and $\nu = \frac{4}{6}$ Read-Rezayi states. Furthermore, we
discuss the strong finite-size effects present in numerically accessible
wavefunctions, and provide a simple recipe to minimize them on manifolds where
non-Abelian theories have topological degeneracies.
