The index is the decoupling index: the sublattice the mask offsets and the centre generate inside the whole lattice. An index above one means the board never mixes - it is that many interleaved copies of the same automaton, each blind to the others.
Counts run from 0 to {budget}, the cell count of the mask. Type them as digits, as `1 3 5 7`, or draw them from a named sequence cut at the budget; a sequence side spells itself in the name, so `rule birth primes, survive [2 3]` is a rule and not a description of one.
Run to fate replays the board for at most {LIMIT} generations and reports death, a frozen board, a loop with its period, or a timeout. Every value on this page is a link: the dimension, the code, the side, the level, the two count lists, the wrap and the seed all live in the address bar.