Title

Alexander Polynomials and Determinants for Knot Types through 16 Crossings

Author

Eric J. Rawdon, University of St. Thomas, MinnesotaFollow
Addie McCurdy, University of St. Thomas, Minnesota

Department/School

Mathematics

Date

8-12-2020

Document Type

Dataset

Keywords

Alexander Polynomial, Knot Polynomials, Knot Theory

Abstract

The Alexander Polynomial was the first knot polynomial invariant. These files provide tables of:

1. Alexander polynomial coefficients
2. Alexander polynomial evaluated at t=-1 for prime and composite knot types through 10 and 16 crossings.

This dataset zipped file includes the knot tables and a readme documentation file.

This material is based upon work supported by the National Science Foundation under Grant No. 1720342 to Eric J. Rawdon. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Citation/Other Information

Recommended citation: Addie McCurdy and Eric J. Rawdon, Alexander polynomials and determinants for knot types through 16 crossings (Dataset), Aug. 12, 2020.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.