If WithLLL=>true then syzygy matrices of the randomly chosen matrices are improved for their Height by applying the LLL algorithm.
i1 : randomChainComplex({1,1,1},{2,2},Height=>5,WithLLL=>true) 3 5 3 o1 = ZZ <-- ZZ <-- ZZ 0 1 2 o1 : Complex
The object WithLLL is a symbol.
The source of this document is in RandomComplexes.m2:532:0.