Low Stick Number Polygons for Four Large Knots
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https://doi.org/10.7910/DVN/JXGUXD
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This dataset contains low stick number polygons and PD codes for four large knots; two alternating knots with crossing number 32 and 64 and two nonalternating knots whose pass-reduced diagrams have 32 and 64 crossings. (We do not know if the nonalternating knots have minimal crossing number 32 and 64; they are hyperbolic and therefore prime). The PD code files give arc numbers incident to one crossing per line, following the usual convention that the incoming underarc is listed first and the remaining arcs are in counterclockwise order around the crossing. Note that these are the PD codes of the diagrams in the paper, not the PD codes of projections of the polygons. We have checked that the PD code and corresponding polygon have the same Jones polynomial, but have not otherwise tried to verify that they have the same knot types.
创建时间:
2025-08-15



