# The tunnel number of all 11 and 12 crossing alternating knots

@article{CastellanoMacias2019TheTN, title={The tunnel number of all 11 and 12 crossing alternating knots}, author={Felipe Castellano-Mac'ias and Nicholas Owad}, journal={arXiv: Geometric Topology}, year={2019} }

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.

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