  We show the 3-manifold at infinity of the complex hyperbolic triangle group
$\Delta_{3,\infty,\infty;\infty}$ is the three-cusped "magic" 3-manifold
$6_1^3$. We also show the 3-manifold at infinity of the complex hyperbolic
triangle group $\Delta_{3,4,\infty;\infty}$ is the two-cusped 3-manifold $m295$
in the Snappy Census, which is a 3-manifold obtained by Dehn filling on one
cusp of $6_1^3$. In particular, hyperbolic 3-manifolds $6_1^3$ and $m295$ admit
spherical CR uniformizations.
  These results support our conjecture that the 3-manifold at infinity of the
complex hyperbolic triangle group $\Delta_{3,n,m;\infty}$ is the one-cusped
hyperbolic 3-manifold from the "magic" $6_1^3$ via Dehn fillings with filling
slopes $(n-2)$ and $(m-2)$ on the first two cusps of it.
