-- -*- M2-comint -*- {* hash: -1904432422 *}

i1 : Q = QQ[x,y]

o1 = Q

o1 : PolynomialRing

i2 : I = ideal(x^2,x*y)

             2
o2 = ideal (x , x*y)

o2 : Ideal of Q

i3 : primaryDecomposition(I, Strategy => Monomial)

                        2
o3 = {ideal(x), ideal (x , y)}

o3 : List

i4 : Q = QQ[x,y]

o4 = Q

o4 : PolynomialRing

i5 : I = ideal(x^2,x*y)

             2
o5 = ideal (x , x*y)

o5 : Ideal of Q

i6 : primaryDecomposition(I, Strategy => EisenbudHunekeVasconcelos)

                        2        2
o6 = {ideal(x), ideal (y , x*y, x )}

o6 : List

i7 : Q = QQ[x,y]

o7 = Q

o7 : PolynomialRing

i8 : I = ideal(x^2,x*y)

             2
o8 = ideal (x , x*y)

o8 : Ideal of Q

i9 : primaryDecomposition(I, Strategy => ShimoyamaYokoyama)

                           2
o9 = {ideal(x), ideal (y, x )}

o9 : List

i10 : Q = QQ[x,y]

o10 = Q

o10 : PolynomialRing

i11 : I = intersect(ideal(x^2), ideal(y^2))

             2 2
o11 = ideal(x y )

o11 : Ideal of Q

i12 : primaryDecomposition(I, Strategy => new Hybrid from (1,1))

              2          2
o12 = {ideal(x ), ideal(y )}

o12 : List

i13 : primaryDecomposition(I, Strategy => new Hybrid from (1,2))

              2          2
o13 = {ideal(x ), ideal(y )}

o13 : List

i14 : primaryDecomposition(I, Strategy => new Hybrid from (2,1))

              2          2
o14 = {ideal(x ), ideal(y )}

o14 : List

i15 : primaryDecomposition(I, Strategy => new Hybrid from (2,2))

              2          2
o15 = {ideal(x ), ideal(y )}

o15 : List

i16 :