> Much more complicated would it be to construct a Seifert surface of
> *minimal* genus. It is possible, though, based on the theory of normal
> surfaces that goes back to Wolfgang Haken.  In a nutshell (hope I
> remember things correctly):

Yes, you do.

> In the Wiki, I mention a package t3m, that, as much as I know, could
> do the above computation.

It could easily be made to do that, in those small cases where Haken's
algorithm is feasible.  However, in practice there are usually better
ways involving quick methods of finding (some) Seifert surfaces
combined with (twisted) Alexander polynomials to give lower bounds on
the genus.

> I don't know about visualisation, though.

No, it doesn't do that.

Best,

Nathan
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