Longitudinal and radial dependence of the eigenfunctions transverse velocity component, v_r, azimuthal velocity component, v_ϕ, and compressive magnetic field component, b_z in prominence threads with ρ_f/ρ_c = 200, l/a = 0.2, a = 1, L_thread = 0.2L, and R_m = 10⁶ for different values of the density in the evacuated part of the tube. All computations have been performed in a two-dimensional grid with N_r = 401 and N_z = 51 points, with 250 grid-points in the resonant layer.