KnotPlot has on-line the complete set of knots and links pictured in
Appendix C of
Dale Rolfsen's book
Knots and Links.
The original data was kindly supplied by Professor Rolfsen and the
knots and links
relaxed with KnotPlot.
The versions you see in the catalogue are nearly completely relaxed.
A few extra knots and links are included
the standard catalogue that aren't in Rolfsen's table
because, strictly speaking, they are not prime.
For example the 1, 2, 3, and 4 component trivial
links are stored in the files
0.1,
0.2.1,
0.3.1, and
0.4.1.
Check out the
table of prime links to see what is
available on-line.