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Computing with knot quandles. (English) Zbl 1405.57012

This paper extends quandle coloring invariants in a new direction, applying them to confirm the distinctness of the 801 prime knot types through 11 crossings (first established in this reviewer’s Orsay Prepublication 80 T 18 “Invariants of 11-crossing knots”).

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M27 Invariants of knots and \(3\)-manifolds (MSC2010)

Software:

RiG; LOOPS; KnotInfo; GAP; GitHub
Full Text: DOI

References:

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[10] Knot Atlas, Knot Atlas (2013), http://katlas.math.toronto.edu/wiki/.
[11] G. Nagy and P. Vojtechovsky, LOOPS — Computing with quasigroups and loops in GAP, version 3.3.0 (2016), http://www.gap-system.org/Packages/loops.html.
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