Given a Seifert Form , choose a basis , ..., for as a Z-module so every
element is uniquely expressible as

with integer, define the Seifert matrix as the integral Matrix with entries

The right-hand Trefoil Knot has Seifert matrix

A Seifert matrix is not a knot invariant, but it can be used to distinguish between different Seifert Surfaces for a given knot.

**References**

Rolfsen, D. *Knots and Links.* Wilmington, DE: Publish or Perish Press, pp. 200-203, 1976.

© 1996-9

1999-05-26