House of algebraic integers symmetric about the unit circle

We give a Schinzel-Zassenhaus-type lower bound for the maximum modulus of roots monic integer polynomial with all symmetric respect to unit circle. Our results extend recent work Dimitrov, who proved general Schinzel-Zassenhaus conjecture by using Pólya rationality theorem power series coefficients, and some estimates logarithmic capacity (transfinite diameter) sets. use an enhancement Pólya's result obtained Robinson, which involves Laurent-type rational functions small supremum norms, thereby replacing smaller quantity. This quantity is expressed via weighted Chebyshev constant set associated Dimitrov's function used in Robinson's theorem. house confirms Boyd.