  We show how the multivariable signature and Alexander polynomial of a colored
link can be computed from a single symmetric matrix naturally defined from a
colored link diagram. In the case of a single variable, it coincides with the
matrix introduced by Kashaev in [arXiv:1801.04632], which was recently proven
to compute the Levine-Tristram signature and the Alexander polynomial of
oriented links [arXiv:2311.01923, arXiv:2310.16729]. As a corollary, we obtain
a multivariable extension of Kauffman's determinantal model of the Alexander
polynomial, recovering a result of Zibrowius [arXiv:1601.04915v1].
