# Determinant

The determinant of a knot is det(V + V^{t}), where V is a Seifert Matrix
for the knot. Equivalently, this is Δ(-1), where Δ(t) is the
Alexander polynomial.

The determinant is equal to the order of the homology of the two-fold branched cover of the knot.

## References

[1] Rolfsen, D., *Knots and Links,* AMS Chelsea Publishing, Providence (2003).