- Click on the menu in the top left corner of the page to choose the knots, which you want to see.
- In the table of unknotting numbers, a green entry can be clicked on and reveals some hidden data. It is explained in the table on the left. Click once again, to hide the entry.
- A red entry has a different meaning. It shows, what criterion was used to give the lower bound for the algebraic unknotting number. For example, if a knot has unknotting number 3, and to prove this we used the fact that its signature is -6, then the entry for the signature will be highlighted. Please remark, that sometimes this is not the single criterion, which detects the unknotting number.
- On clicking on the Nakanishi index entry, if n(K)=1, then the generator of the Alexander module is given. It should be understood as follows. We consider a Seifert matrix V of size n, and a module Z[t,t^{-1}]^n. The generator is regarded as an element in this module. Its image under the quotient map (dividing by Vt-V^T) generates the Alexander module.
- Wherever we give a Seifert matrix, it is actually a matrix S-equivalent to a geometric Seifert matrix of a given knot. In particular, all Seifert matrices we give are non-degenerate.