Prime knots with arc index 12 up to 16 crossings
J. Korean Math. Soc.
Published online February 8, 2021
Gyo Taek Jin, Hyuntae Kim, Seungwoo Lee, and Hun Joo Myung
Korea Advanced Institute of Science and Technology, Moasys Corporation, Korea Institute of Science and Technology Information
Abstract : As a continuation of the works of tabulating primes knots up to arc index 11, we obtained 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. We list them and minimal grid diagrams for prime alternating knots with 10 crossings. A complete list of grid diagrams of them can be found in arxiv.org.
Keywords : knot, arc presentation, arc index, Cromwell matrix, grid diagram
MSC numbers : 57K10
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