Top: energy E as a function of the normalized radius and frequency for the order ℓ = 5 (model turb2). Bottom: extraction of three normalized eigenfunctions corresponding to n = 36, n = 17, and n = 7. Their positions in the top panel are indicated by blue dashed, red long dashed and green dot-dashed lines. The eigenfunctions computed by the oscillation code ADIPLS are represented by red dotted lines.