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These effects, in general, feel a bit too strong; though it depends on how restricted you are from just including random rationals in your deck. Like, if you can just put a 29/71 in your deck, you kind of just win on the spot. Then again, with how your energy costs would be way lower, I guess the game would have to be balanced around you only having like 2 max energy instead of 100 anyway.

/11 is an interesting effect; I can see why you didn't want to just make it frozen opponent pieces, but it feels a little weird.

What's the exact opponent stone that gets added by /31?

Also, because you didn't specify, here's what I'd do for the other low prime squares:

/49: Cannot be placed if there is any fire on the board. Freezes itself.

/169: All opponent cards cost 169 less and all of your cards cost [this card's cost] more.

(+1)

Yeah, surrounding with opponent stones felt too strong of a downside for 1/11 (but not for 1/79 and 1/83).

Good point on 1/71 allowing you to bypass these downsides, maybe it should be changed so it still applies all the denominator effects but only lets you choose one numerator effect? That doesn't solve the 29/71 issue, though... but I'm of the opinion that 29 needs a nerf anyway (i.e. make it only usable once per turn, or make it only usable a few times total before it's discarded).

1/31 probably adds a copy of the same stone that you just played (albeit one that does not trigger its effects on play).