.  Let $F \in {\ensuremath{\mathcal{L}(S)}}$ and let $P$ be a lifted periodic orbit of $F$ of period $p$ that lives in the branches. Then $\operatorname{Per}(F) \supset \operatorname{S\mbox{\tiny\textup{sh}}}(p)$. Moreover, for every $d \in {\ensuremath{\mathbb{Z}}}$ and every $p \in \N_{\Sho}$, there exists a map $F_p \in {\ensuremath{\mathcal{L}_{d}(S)}}$ such that $\operatorname{Per}(F_p) = \operatorname{S\mbox{\tiny\textup{sh}}}(p)$.  