- Alexander polynomials for classical knots and links

The sets of tables presented here were based on Adam Chalcrafts braid representations of knots and links. These braid representations use Rolfsens designation of knots where possible, and the enumerations in [2] otherwise. Information on the braid representations may be found at his website, including a list or corrections to [2] and an explanation of the extended designation.

The braid programme has been used to calculate Alexander polynomials for knots up to 11 crossings and links up to 10 crossings based on Adam Chalcraft's braid representations.

- Alexander polynomials of at most 8-crossing knots
- Alexander polynomials of 9-crossing knots
- Alexander polynomials of alternating 10-crossing knots
- Alexander polynomials of non-alternating 10-crossing knots
- Alexander polynomials of alternating 11-crossing knots
- Alexander polynomials of non-alternating 11-crossing knots
- Alexander polynomials of 2-component links with at most 8-crossing links
- Alexander polynomials of 2-component 9-crossing links
- Alexander polynomials of 2-component 10-crossing links
- Alexander polynomials of 3-component links with at most 9-crossing links
- Alexander polynomials of 3-component 10-crossing links
- Alexander polynomials of 4-component links with at most 9-crossing links
- Alexander polynomials of 4-component 10-crossing links
- Alexander polynomials of 5-component 10-crossing links

[2] J.H. Conway, An enumeration of knots and links, and some of their algebraic properties, Comp. Probs. in Abstract Algebra 329-358 (Pergamon Press, 1970)