Razib Khan
The admixture plot to the right has Uyghurs with some ancient and modern samples. The Uyghurs are about 50% East Asian, as you’d expect. But the balance of their ancestry is split between Indo-European populations, and those of Neolithic Iran(with a slight bias toward the former).

If in the future someone does a temporal transect of the Tarim basin, I predict that one thing they will note is the sharp rise in Iranian agriculturalist ancestry over time, with a particular jump around 1000 AD (though the Sogdians were also a presence in these city-states).