  We show that braidings of the metaplectic anyons $X_\epsilon$ in
$SO(3)_2=SU(2)_4$ with their total charge equal to the metaplectic mode $Y$
supplemented with measurements of the total charge of two metaplectic anyons
are universal for quantum computation. We conjecture that similar universal
computing models can be constructed for all metaplectic anyon systems $SO(p)_2$
for any odd prime $p\geq 5$. In order to prove universality, we find new
conceptually appealing universal gate sets for qutrits and qupits.
