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We present the Mathematica group theory package GTPack providing about 200additional modules to the standard Mathematica language. The content rangesfrom basic group theory and representation theory to more applied methods likecrystal field theory, tight-binding and plane-wave approaches capable forsymmetry based studies in the fields of solid-state physics and photonics.GTPack is freely available via http://GTPack.org. The package is designed to beeasily accessible by providing a complete Mathematica-style documentation, anoptional input validation and an error strategy. We illustrate the basicframework of the package and show basic examples to present the functionality.Furthermore, we give a complete list of the implemented commands includingreferences for algorithms within the supplementary material.

GTPack: A Mathematica group theory package for application in solid-state physics and photonics