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_poset.out
-- -*- M2-comint -*- hash: 7240736346349071656 i1 : G = {a,b,c,d}; i2 : R = {{a,b}, {a,c}, {c,d}}; i3 : P = poset(G, R) o3 = P o3 : Poset i4 : poset {{1,2},{2,3},{3,4}} o4 = Relation Matrix: | 1 1 1 1 | | 0 1 1 1 | | 0 0 1 1 | | 0 0 0 1 | o4 : Poset i5 : cmp = (a,b) -> b % a == 0; i6 : G = toList(1..10); i7 : P = poset(G, cmp) o7 = P o7 : Poset i8 : S = QQ[x,y,z]; i9 : G = {x^2, x*y, z^2, x^2*y*z, x*y*z^3, x^2*y^2*z^3}; i10 : R = flatten for g in G list for h in G list if h %g == 0 then {g,h} else continue; i11 : M = matrix apply(G, g -> apply(G, h -> if h %g == 0 then 1 else 0)); 6 6 o11 : Matrix ZZ <-- ZZ i12 : P = poset(G, R, M) o12 = P o12 : Poset i13 :