them over 10 showers). We see that essentially there is no difference between the two curves in any of the graphs of Fig. 1 and 2. The particular values of $E$ and $log (r/r_M)$ have been chosen in such a way as to correspond to two values on both sides of the maximum of the $log E$, and correspondingly $log(r/r_M)$, distributions (the latter describes fraction of electrons in *rings* with a constant thickness $\Delta log(r/r_M)=0.1$). At maximae of these distributions the independence of the primary particle characteristics is even better.

Distributions of polar angles
-----------------------------

Next, we go to the function, $f_{\theta}(\theta; \varphi,r/r_M,E,s)$, to be checked on the universality - the distribution of angles $\theta$ for fixed values of the parameters $\varphi,r/r_M,E,s$. Figs 3 and 4 illustrate the independence of the polar angle $\theta$ distributions of electrons $f_{\theta}(\theta; \varphi,r/r_M,E,s)$ of the primary particle energy and mass for $s=1$. The chosen regions of the azimuth angle correspond to the electrons deflected mostly away from the shower axis: $0<\varphi<20^{\circ}$, toward it: $160^{\circ}<\varphi< 180^{\circ}$, and to those deflected perpendicularly to $\vec{r}$ : $70^{\circ}<\varphi<90^{\circ}$ and $\,90^{\circ}<\varphi<110^{\circ}$.\

![ Distributions $f_{\theta}(\theta; \varphi,r/r_M,E,s)$ of electron angle $\theta$ (in deg) for $s=1$ for two electron energies $E$ and 