  A spin-1 condensate with antiferromagnetic interactions supports nematic spin
vortices in the easy-plane polar phase. These vortices have a $2\pi$ winding of
the nematic director, with a core structure that depends on the quadratic
Zeeman energy. We characterize the properties of the nematic spin vortex in a
uniform quasi-two-dimensional system. We also obtain the vortex excitation
spectrum and use it to quantify its stability against dissociating into two
half-quantum vortices, finding a parameter regime where the nematic spin vortex
is dynamically stable. These results are supported by full dynamical
simulations.
