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arXiv:1908.01693 [math.GT]AbstractReferencesReviewsResources

The tunnel number of all 11 and 12 crossing alternating knots

Felipe Castellano-Macías, Nicholas Owad

Published 2019-08-05Version 1

Using exhaustive techniques and results from Lackenby and many others, we compute the tunnel number of all 1655 alternating 11 and 12 crossing knots. We also use these methods to compute the tunnel number of 142 non-alternating 11 and 12 crossing knots. Overall, of the 2728 total knots with 11 and 12 crossings, we have found 1797 tunnel numbers.

Comments: 9 pages, 3 figures, 2 tables
Categories: math.GT
Subjects: 57M25, 57M27
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