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We calculate the equivariant instanton Floer homology, in the sense of MillerEismeier, for the trivial $SO(3)$-bundle over the binary polyhedral spaces withcoefficients in a PID $R$ for which $2\in R$ is invertible. Along the way wemodify a part of the algebraic construction needed to define the equivariantinstanton Floer groups.

Equivariant instanton Floer homology and calculations for the binary polyhedral spaces