Exceptional surgeries in 3-manifolds

Myers shows that every compact, connected, orientable 3 3 -manifold with no alttext="2"> 2 encoding="application/x-tex">2 -sphere boundary components contains a hyperbolic knot. We use work of Ikeda an observation Adams-Reid to show subject the above conditions knot which admits non-trivial non-hyperbolic surgery, toroidal surgery in particular. conclude question and conjecture about reducible surgeries.