If Nexus of Fate is exiled facedown and gets processed, does it go to the graveyard or the library?

406.3 says the card has no characteristics. 400.6 says to look at it to see if it has any abilities that would affect the move.

I know that if Nexus of Fate was manifested and died, it would go to the graveyard because it has no abilities, is the same true of a Nexus of Fate exiled facedown?