  In a series of papers, van Geemen and Top have defined a family of surfaces
$S_z$ indexed by a nonzero integer parameter $z$, and a compatible family of
3-dimensional Galois representations over $\Q(i)$ attached to each surface. In
this note we use recent advancements in potential automorphy and automorphy
lifting to show that these compatible families are potentially automophic for
all values of $z$, and hence that their L-functions have analytic continuation
and a functional equation.
