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A concise Notation based on the concept of the Tangle used by Conway (1967) to enumerate Knots up to 11 crossings. An Algebraic Knot containing no Negative signs in its Conway knot Notation is an Alternating Knot.
References
Conway, J. H. ``An Enumeration of Knots and Links, and Some of Their Algebraic Properties.'' In Computation
Problems in Abstract Algebra (Ed. J. Leech). Oxford, England: Pergamon Press, pp. 329-358, 1967.