Abstract
We define Ptolemy coordinates for representations that are not necessarily boundary-unipotent. This gives rise to a new algorithm for computing the $${{\mathrm{SL}}}(2,{\mathbb {C}})\;A$$ -polynomial, and more generally the $${{\mathrm{SL}}}(n,{\mathbb {C}})\;A$$ -varieties. We also give a formula for the Dehn invariant of an $${{\mathrm{SL}}}(n,{\mathbb {C}})$$ -representation.
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