fVector M
The f-vector of a matroid M is the invariant (f_0, f_1, ..., f_r), where f_i is the number of rank i flats of M, and r is the rank of M. Note that f_0 = f_r = 1, as the set of loops is the unique flat of rank 0, and the ground set is the unique flat of maximal rank.
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This is not the same as the f-vector of the independence complex of the matroid M, which counts the number of independent sets of a given size. To do this instead, use "fVector independenceComplex M".
The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/Matroids/doc-Matroids.m2:1245:0.