Seifert Matrix
Given a Seifert Form 
, choose a basis 
, ..., 
for 
as a Z-module so everyelement 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.See also Alexander Matrix
References
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 200-203, 1976.
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