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This paper adds some details to the seminal approach to logarithmic formality\cite{AWRT} and interpolation formality \cite{WR} by Alekseev, Rossi, Torossianand Willwacher: We prove that the interpolation family of Kontsevich formalitymaps extends to Shoikhet-Tsygan formality and a complex interpolationparameter. We show some elementary relations satisfied by this polynomials. Wealso compute some Kontsevich integral weights and reason on the numbertheoretic meaning of the invariance of Kontsevich's propagator under realtranslations and scalings in the case of the Merkulov $n$-wheels.

Singular propagators in deformation quantization and Shoikhet-Tsygan formality