  In this paper, we define the primitive/Seifert-fibered property for a knot in
S^3. If satisfied, the property ensures that the knot has a Dehn surgery that
yields a small Seifert-fibered space (i.e. base S^2 and three or fewer critical
fibers). Next we describe the twisted torus knots, which provide an abundance
of examples of primitive/Seifert-fibered knots. By analyzing the twisted torus
knots, we prove that nearly all possible triples of multiplicities of the
critical fibers arise via Dehn surgery on primitive/Seifert-fibered knots.
