Statistic of zeros of Riemann auxiliary function

We have computed all zeros $\beta +i\gamma$ of $(s)$ with $0<\gamma <215946.3$. A total of 162215 zeros with 25 correct decimal digits. In this paper we offer some statistic based on this set of zeros. Perhaps the main interesting result is that $63.9\mathrm{\%}$ of these zeros satisfies $\beta <1\mathrm{/}2$.