  I continue analysis of the Schr\"odinger operator with the strong
degenerating magnetic field, started in \cite{IRO6}. Now I consider
4-dimensional case, assuming that magnetic field is generic degenerated and
under certain conditions I derive spectral asymptotics with the principal part
$\asymp h^{-4}$ and the remainder estimate $O(\mu^{-1/2}h^{-3})$ where $\mu\gg
1$ is the intensity of the field and $h\ll 1$ is the Plank constant; $\mu h\le
1$.
  These asymptotics can contain correction terms of magnitude $\mu
^{5/4}h^{-3/2}$ corresponding to the short periodic trajectories.
