  We calculate the area of the smallest triangle and the area of the smallest
virtual triangle for many known lattice surfaces. We show that our list of the
lattice surfaces for which the area of the smallest virtual triangle greater
than .05 is complete. In particular, this means that there are no new lattice
surfaces for which the area of the smallest virtual triangle is greater than
.05. Our method follows an algorithm described by Smillie and Weiss and
improves on it in certain respects.
