The tunnel number of all 11 and 12 crossing alternating knots
arXiv:1908.01693 · doi:10.2140/involve.2022.15.75
Abstract
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.
Final version for publication in Involve - A Journal of Mathematics. Paper is 11 pages with 2 page appdendix