English

Prime knots with arc index 12 up to 16 crossings

Geometric Topology 2020-07-14 v1

Abstract

As a continuation of the previous works to tabulate the prime knots up to arc index 11, we provide the list of prime knots with arc index 12 up to 16 crossings and their minimal grid diagrams. There are 19,513 prime knots of arc index 12 up to 16 crossings.

Keywords

Cite

@article{arxiv.2007.05711,
  title  = {Prime knots with arc index 12 up to 16 crossings},
  author = {Gyo Taek Jin and Hyuntae Kim and Seungwoo Lee and Hun Joo Myung},
  journal= {arXiv preprint arXiv:2007.05711},
  year   = {2020}
}

Comments

2 figures, 1 table, and 19,512 grid diagrams