The tunnel number of all 11 and 12 crossing alternating knots

5 Aug 2019 · Felipe Castellano-Macías, Nicholas Owad ·

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.