Every spherical 3-manifold except prism manifolds and six Seifert fibered exceptions contains an explicitly constructed hyperbolic small knot.
Doig, Finite knot surgeries and Heegaard Floer homology , Algebr
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Hyperbolic small knots in spherical manifolds
Every spherical 3-manifold except prism manifolds and six Seifert fibered exceptions contains an explicitly constructed hyperbolic small knot.