The tunnel number of all 11 and 12 crossing alternating knots

Using exhaustive techniques and results from Lackenby and many others, we compute the tunnel number of all 1655 alternating 11 and 12 crossing knots and of 881 non-alternating 11 and 12 crossing knots. We also find all 5525 Montesinos knots with 14 crossings or fewer.

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Bibliographic Details
Published in:arXiv.org 2021-08
Main Authors: Castellano-Macías, Felipe, Owad, Nicholas
Format: Article
Language:English
Subjects:
Knots
Online Access:Get full text
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Description
Summary:Using exhaustive techniques and results from Lackenby and many others, we compute the tunnel number of all 1655 alternating 11 and 12 crossing knots and of 881 non-alternating 11 and 12 crossing knots. We also find all 5525 Montesinos knots with 14 crossings or fewer.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.01693