TITLE: Seifert matrices of cable knots
QUESTION [6 upvotes]: 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 $V$?

REPLY [4 votes]: It also appeared in the article of H. Seifert as Theorem II:

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