All knot exteriors which can be triangulated by at most 8 ideal tetrahedra.
H.T. Link Exteriors (Coming Soon)
All knots and links up to 14 crossings as tabulated by Jim Hoste and Morwen Thistlethwaite.
Link Exteriors (Coming Soon)
All knots with at most 11 crossings and links with at most 10 crossings, using the Rolfsen notation.