We compute the rational Betti numbers of the real toric varieties associated to Weyl chambers of types E7 and E8, completing the computations for all types of root systems.
2020 Mathematics Subject Classification. 57S12, 14M25, 55U10, 57N65. The authors were supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2019R1A2C2010989).