  We calculate the Masur-Veech volume of the gothic locus $\mathcal{G}$ in the
stratum $\mathcal{H}(2^{3})$ of genus four. Our method is based on the use of
the formulae for the Euler characteristics of gothic Teichm\"{u}ller curves to
determine the number of lattice points of given area. We also use this method
to recalculate the Masur-Veech volumes of the Prym loci
$\mathcal{P}_{3}\subset\mathcal{H}(4)$ and
$\mathcal{P}_{4}\subset\mathcal{H}(6)$ in genus three and four.

Geometric Topology;Algebraic Geometry;Number Theory