The genus of Kayles ·77, heap by heap

One row per heap: the genus symbol, the misère outcome it implies, and whether the symbol is one a Nim heap has. A game all of whose positions are tame is played in a misère sum exactly as Nim is; a single wild heap ends that, and the normal-play Grundy value gives no warning of which heaps those will be.

7 essays call genus-table. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about.