Width of groups of type $\mathrm E_6$ with respect to root elements. II

We consider simply-connected and adjoint groups of type $\mathrm E_6$ over fields. Let $K$ be a field such that every polynomial of degree at most 6 has a root in $K$. We prove that every element of an adjoint group of type $\mathrm E_6$ over $K$ can be written as a product of at most seven root elements. Bibl. 59 titles.