The mindwave of the mammoth was drawn from seeing it when learning different kinds of waves during djinn and grey channelling. It was then related to already existing mammoth symbolism.
The Soviet faction of Red Alert had the mammoth tank already in 1996. As we now know, the Soviet Union was created by the Galactic Federation. That is their ruling mindwave.
It's also present as the symbol of the GOP, so guess who the real crypto commies are in America.
