Normalized cuts at different colatitudes θ of the radial displacement eigenfunction (r³ρ)^1/2ξ_r(r,θ) at the center of the spot (θ = 0, solid black line), at the edge (θ = 60°, solid blue line), and outside the spot (dashed lines), of the , m = 0, n = 12 mode (top) and , m = 0, n = 16 mode (bottom), for a polar spot with r_c = 0.98 R_⊙ and ϵ = 0.4. The solid red line is the corresponding ξ_r from ADIPLS. The solid black line in the bottom panel beneath the eigenfunctions shows the radial profile f of the spot. The blue and black dashed lines in the top panel completely overlap.