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Friendly dominion and a temple is required.
"Terrains" is true in any combination of caves/mountains/highlands, otherwise false.
"Your cap" also technically includes Shinuyama's cap, both of them have the flag used for this for some reason.
Number of spawn attempts is Turmoil + 1.
If End of Culture is up, add Turmoil again (so it becomes 2*Turmoil + 1).
While the number of spawn attempts > 0:
(Once a single check succeeds, go spawn the units, subtract the spawn attempts, and then go back to the top of the bullets)
Local value = (something * 10) + unrest, capped at 100
If End of culture, double this (and cap at 150).
Doesn't function underwater.
Final % to spawn is (local value * oni summoner ability value)/100
Unknown criteria can also prevent spawning
You get a non-exploding d6 number of Ko-Oni.