In this post and this post, the level ordering can be shifted by adjusting the parameter $\mu$. And because of the ordering, the component of the harmonic oscillators strongly depends on it. For example, the 5/2[512] state and 1/2[521],

In above gif, the parameter $\mu = 0.35 to 0.7$, the step is not even. At small $\mu < 0.50$, the 5/2[512] and 1/2[521] are not crossing, it becomes crossed when $\mu > 0.5$. We can also see the decomposition to the spherical harmonic oscillator also change by a lot.