  In this paper we investigate the systolic landscape of translation surfaces
for fixed genus and fixed angles of their cone points. We furthermore study how
the systoles of a translation surface relate to the systoles of its graph of
saddle connections. This allows us to develop an algorithm to compute the
systolic ratio of origamis in the stratum $\mathcal{H}(1,1)$. We compute the
maximal systolic ratio of all origamis in $\mathcal{H}(1,1)$ with up to 67
squares. These computations support a conjecture of Judge and Parlier about the
maximal systolic ratio in $\mathcal{H}(1,1)$.
