  In this paper, we prove that there exists a Zariski dense open subset $U$ in
the parameter space of all elementary $p$-covers of the projective line that
ramified at exactly one point, defined over the rationals, such that for every
curve $X$ in $U(\overline{Q})$ and for any prime $p$ large enough, the
reduction of $X$ at all primes lying over $p$ achieves its generic Newton
slopes.
