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There were no Turkic-Magyars in Birka. The Sigtuna outliers were apparently genetically pretty much identical to IronAge Proto-Finnics. The paper is not out yet, but this is what Finnish genetics have said.
The Magyar Conquerors were also notably swarthy population, so in that sense BirkaGermanic-Magyar connection seems highly unlikely. Maybe the 2 very light pigmented N1c1 guys who belonged to Karelian clade might have some genetics from those outlier types. It is well known fact there was Finnish migration to Volga, and there exists even some Finnish I1 types in Volga and deeper even into Siberia.
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