Enhanced Dynkin diagrams done right

In the present paper we slightly modify the Dynkin–Minchenko construction of enhanced Dynkin diagrams and construct signed enhanced Dynkin diagrams of exceptional types $\Phi=\mathrm{E}_6$, $\mathrm{E}_7$, $\mathrm{E}_8$. We observe that these diagrams contain as subdiagrams all Carter–Stekolshchik diagrams of conjugacy classes of the Weyl groups $W(\Phi)$.