The game only requires d6's! To start all rolls are made with 4d6's and then each character trait adds another D6 to the roll. Because Traits are tied into character development and start at 1, I'm going to say 5d6 is what most players will be rolling at base.
Perfect! I assume that even if there's not an upper limit to character traits/levels, that rerolls still make it so 5d6 is a good number for required dice. If you could include a note for fellow Cirque d6 folks in your game's description with that number, that'd be excellent, but if not, the comment history shall reveal it to be so lol.