-- -*- M2-comint -*- {* hash: 98649449 *}

i1 : R = QQ[a..d];

i2 : I = ideal(a^2,b^2,c*d)

             2   2
o2 = ideal (a , b , c*d)

o2 : Ideal of R

i3 : f = basis(3,I)

o3 = {2} | a b c d 0 0 0 0 0 0 0 0 |
     {2} | 0 0 0 0 a b c d 0 0 0 0 |
     {2} | 0 0 0 0 0 0 0 0 a b c d |

o3 : Matrix

i4 : source f

      12
o4 = R

o4 : R-module, free, degrees {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3}

i5 : target f

o5 = image | a2 b2 cd |

                             1
o5 : R-module, submodule of R

i6 : matrix f

o6 = {2} | a b c d 0 0 0 0 0 0 0 0 |
     {2} | 0 0 0 0 a b c d 0 0 0 0 |
     {2} | 0 0 0 0 0 0 0 0 a b c d |

             3       12
o6 : Matrix R  <--- R

i7 : super f

o7 = | a3 a2b a2c a2d ab2 b3 b2c b2d acd bcd c2d cd2 |

             1       12
o7 : Matrix R  <--- R

i8 :