Conway's knot notation is implemented in the Wolfram Language as KnotData[knot,
"ConwayNotation"]. Rolfsen (1976) gives a table that includes
Conway's knot notation for prime knots on 10 or fewer crossings, as summarized in
the table below.
Conway, J. H. "An Enumeration of Knots and Links, and Some of Their Algebraic Properties." In Computational Problems in Abstract
Algebra (Ed. J. Leech). Oxford, England: Pergamon Press, pp. 329-358,
1967.Rolfsen, D. "Table of Knots and Links." Appendix C in
Knots
and Links. Wilmington, DE: Publish or Perish Press, pp. 280-287, 1976.
