Jørgen Christensen-Dalsgaard's Lecture Notes on Stellar Oscillations have a number of example
eigenfunctions for selected oscillation modes in section 5.3 "Some Numerical Results". The code that was used to obtain these results solved the full forth
order system of ordinary differential equations, as opposed to my code, which solves the equations under the Cowling approximation which reduces the problem
to a second order system of ordinary differential equations. As explained here.
I used the additional Matlab script to draw the scaled radial displacement eigenfunction as a function of the radius, from the output files.
Using Model S for the Sun, Christensen-Dalsgaard got \nu = 3310 \, \mu Hz for a mode order of n = 23 and angular degree of l = 0, together with the following scaled radial displacement eigenfunction: