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We find zero-free regions in the complex plane at large |q| for themultivariate Tutte polynomial (also known in statistical mechanics as thePotts-model partition function) Z_G(q,w) of a graph G with general complex edgeweights w = {w_e}. This generalizes a result of Sokal (cond-mat/9904146) thatapplies only within the complex antiferromagnetic regime |1+w_e| \le 1. Ourproof uses the polymer-gas representation of the multivariate Tutte polynomialtogether with the Penrose identity.

Complex zero-free regions at large |q| for multivariate Tutte polynomials (alias Potts-model partition functions) with general complex edge weights