Let $K\_{p,q}$ be a $(p,q)$-cable of the non-trivial knot $K$ in $S^3$. Let $V\_{p,q}$ and $V$ denote the Seifert matrices of $K\_{p,q}$ and $K$, respectively.


Is it possible to obtain a closed formula for the matrix $V\_{p,q}$ in terms of $V$?



Seifert matrices of cable knots
It also appeared in the [article](https://www.maths.ed.ac.uk/%7Ev1ranick/papers/seifert2.pdf) of H. Seifert as Theorem II:



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> Seifert, H. (1950). On the homology invariants of knots. The Quarterly Journal of Mathematics, 1(1), 23-32.
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