L=hilbertFunct I
Let I be a homogeneous ideal in a ring R that is either a polynomial ring or a quotient of a polynomial ring, and suppose that R has the standard grading. hilbertFunct returns the Hilbert function of R/I as a list.
If R/I is Artinian, then the default is for hilbertFunct to return the entire Hilbert function (i.e., until the Hilbert function is zero) of R/I as a list. The user can override this by using the MaxDegree option to bound the highest degree considered.
If R/I is not Artinian, then hilbertFunct returns the Hilbert function of R/I through degree 20. Again, the user can select a different upper bound for the degree by using the MaxDegree option.
We require the standard grading on R in order to compute with the Hilbert series, which is presently much faster than repeatedly computing the Hilbert function.








The object hilbertFunct is a method function with options.