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Conway Polynomial -- from Wolfram MathWorld

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld Conway Polynomial

The Conway polynomial , sometimes known as the Conway-Alexander polynomial, is a modified version of the Alexander polynomial that was formulated by J. H. Conway (Livingston 1993, pp. 207-215). It is a reparametrization of the Alexander polynomial given by

The skein relationship convention used by for the Conway polynomial is

(Doll and Hoste 1991).

Examples of Alexander and Conway polynomials for common knots are given in the following table

See alsoAlexander Polynomial Explore with Wolfram|Alpha ReferencesDoll, H. and Hoste, J. "A Tabulation of Oriented Links." Math. Comput. 57, 747-761, 1991.Livingston, C. Knot Theory. Washington, DC: Math. Assoc. Amer., 1993. Referenced on Wolfram|AlphaConway Polynomial Cite this as:

Weisstein, Eric W. "Conway Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ConwayPolynomial.html

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