AscentCount is an option for ascendIdeal, that tells the function to return the number of steps it took before the ascent of the ideal stabilized.
The object AscentCount is a symbol.
The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/TestIdeals/EthRootsDoc.m2:138:0.