Dimensionless displacement eigenfunctions of the n = 0, 1, 2 modes (top to bottom), for an azimuthal wavenumber m = 1 and an axial wavenumber k = 25, and an equilibrium model having β = 5, q = 0.01 and γ = 5/3. In each panel, the eigenfunctions are normalized such that the root-mean-square value of ﹩{\tilde{\xi }}_{r}﹩ is unity. The plots are labeled with the corresponding eigenvalue ﹩{\tilde{\omega }}_{n}^{2};﹩ negative values for the n = 0 and n = 1 modes indicates that they are unstable.