  For each natural number n >= 4, we determine the unique lowest volume
hyperbolic 3-orbifold whose torsion orders are bounded below by n. This lowest
volume orbifold has base space the 3-sphere and singular locus the figure-8
knot, marked n. We apply this result to give sharp lower bounds on the volume
of a hyperbolic manifold in terms of the order of elements in its symmetry
group.
