The final puzzle is the identity of Eugein's father Beli. It is to be suspected that this individual is a ghost provoked by the poem in the "Life of Adomnán". It is likely that, if there is any truth in the poem, Brude's father was Bili mac Elphine who died in 722, and that his son predeceased him in 693. There is in fact no need to posit another Beli, except to fill another gap in the generations. To take a thoroughly sceptical view of the available evidence, this suggests possibly five distinct dynasties. The first is of the later 6th century, represented by Roderc; the second of the mid-7th century, represented by Guret; the third of the late 7th century, represented by Domnall mac Auin; the fourth of the mid-8th century, represented by the descendants of Elfin; the fifth of the late 9th century, represented by Arthgal and his son, whose kingdom was probably not centred on Alclut.