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We compute the cohomology groups of the automorphism group of the free group$F_n$, with coefficients in arbitrary tensor products of the standardrepresentation $H_1(F_n, \mathbb{Q})$ and its dual, in a range where $n$ issufficiently large compared to the cohomological degree and the number oftensor factors.

Stable cohomology of $Aut(F_n)$ with bivariant twisted coefficients