What legions did Trajan take to Dacia?

[Centurio]

I just looked at your list again. Sorry I didn't notice it before but Traian can't have taken V Alaudae with him it was lost/remains disbanded during the Batavian revolt during Vespasianus reign.

Salve, L C Cinna!
As far as I know, legio V Alaudae was destroyed by Dacians in 86 AD
It took serious losses during Batavian revolt, but was not destroyed or disbanded. In 70 AD it was transferred to Moesia, where legion met its destiny in 86 AD. The legionary aquila was took by Dacians and returned to Romans during Trajan's siege of Apulum. Anyway, legion was not reconstituted again.