Yeah, I'm digging Soner Kahl'd as the Vasari designation. As for reporting names, hmmm.......
Well, theres the ever present Hellion, which is certainly a good name, but I personally feel it just isn't grand enough for a ship like this. Then there's Leader names, like Sovereign, Overlord, Hegemon, so on. Those are kinda derivative though.
Then we have Draakjacht's 'concept' naming, such as Subjugation, which is really good, and seems like something the Vasari would approve of. Other names along that line could be things like Enslaver, Overwatch, Champion, things like that. All good for Vasari ships.
Finally, something I've been thinking ... this thing seems like its supposed to be Utterly Massive right? How about Monolith/Monolithic? Big, imposing, unknowable. Fits a ship like this perfectly, from the eyes of the other races.