Romam triumphans ingreditur is the formal expression of Prosper's Chronicle. The facts which relate to the death of Adolphus and the exploits of Wallia are related from Olympiodorus (ap Phot. p. 188 [p. 59, 60, ed. Bekk.]), Orosius (1. vii. c. 43, p. 584-587), Jornandes (de Rebus Geticis, c. 31, 32), and the Chronicles of Idatius and Isidore.