-- -*- M2-comint -*- {* hash: -1407979023 *}

i1 : R = QQ[w,x,y,z];

i2 : I = ideal(w*x^2-42*y*z, x^6+12*w*y+x^3*z, w^2-47*x^4*z-47*x*z^2)

               2           6    3                4         2    2
o2 = ideal (w*x  - 42y*z, x  + x z + 12w*y, - 47x z - 47x*z  + w )

o2 : Ideal of R

i3 : minimalPrimes I

              3
o3 = {ideal (x  + z, w, y), ideal (x, w, y), ideal (x, z, w)}

o3 : List

i4 : R = ZZ/101[w..z];

i5 : I = ideal(w*x^2-42*y*z, x^6+12*w*y+x^3*z, w^2-47*x^4*z-47*x*z^2);

o5 : Ideal of R

i6 : minimalPrimes I

                  2             4         2    2   2   2          2      3 
o6 = {ideal (12w*x  + y*z, - 47x z - 47x*z  + w , x y*z  - 12w*x*z  + 11w ,
     ------------------------------------------------------------------------
        2   2    2 3      4       6      3
     43w x*z  + y z  - 31w , - 42x  - 42x z + w*y)}

o6 : List

i7 :