  We give a complete classification of toroidal Seifert fibered surgeries on
alternating knots. Precisely, we show that if an alternating knot admits a
toroidal Seifert fibered surgery, then the knot is either the trefoil knot and
the surgery slope is zero, or the connected sum of a (2,p)-torus knot and a
(2,q)-torus knot and the surgery slope is 2(p+q) with |p|, |q| at least three.

Geometric Topology