Which slopes can or cannot appear as Seifert fibered slopes for hyperbolic knots in the –sphere ? It is conjectured that if –surgery on a hyperbolic knot in yields a Seifert fiber space, then is an integer. We show that for each integer , there exists a tunnel number one, hyperbolic knot in such that –surgery on produces a small Seifert fiber space.
"All integral slopes can be Seifert fibered slopes for hyperbolic knots." Algebr. Geom. Topol. 5 (1) 369 - 378, 2005. https://doi.org/10.2140/agt.2005.5.369