-- -*- M2-comint -*- {* hash: -1496599229 *}

i1 : S = ZZ/32003[a,b,c];

i2 : F = a^2*b^2*c+a^3+b^3+c^3

      2 2     3    3    3
o2 = a b c + a  + b  + c

o2 : S

i3 : J = ideal jacobian ideal F

                2      2    2        2   2 2     2
o3 = ideal (2a*b c + 3a , 2a b*c + 3b , a b  + 3c )

o3 : Ideal of S

i4 : time integralClosure J
     -- used 1.48577 seconds

             2 2              2 2                2          2   2     
o4 = ideal (b c  - 16000a*c, a c  - 16000b*c, a*b c - 16000a , a b*c -
     ------------------------------------------------------------------------
           2   3               2 2     2   5
     16000b , a c - 16000a*b, a b  + 3c , a b + 15997a*c)

o4 : Ideal of S

i5 : time integralClosure(J, Strategy=>{RadicalCodim1})
     -- used 0.697894 seconds

             2 2              2 2                2          2   2     
o5 = ideal (b c  - 16000a*c, a c  - 16000b*c, a*b c - 16000a , a b*c -
     ------------------------------------------------------------------------
           2   3               2 2     2   5
     16000b , a c - 16000a*b, a b  + 3c , a b + 15997a*c)

o5 : Ideal of S

i6 : integralClosure(J,2)

             5      2 4           3       3   2 3      2 4         4       3 
o6 = ideal (b c - 2b c  - 16000a*b  - 3a*c , a b c - 2a c  - 16000b  - 3b*c ,
     ------------------------------------------------------------------------
      3 2     5          4           3   5     2 3          3          4 
     a b c - b c - 16000a  + 16000a*b , a c - a b c - 16000a b + 16000b ,
     ------------------------------------------------------------------------
          6         2 2 2         3          3         4   2 2 4         3 3
     a*b*c  - 16000a b c  - 12000a c - 12000b c - 8003c , a b c  - 16000a c 
     ------------------------------------------------------------------------
             3 3            2   2 3 3         3   2         4 2          2  
     - 16000b c  + 8003a*b*c , a b c  - 16000a b*c  - 16000b c  + 8003a*b c,
     ------------------------------------------------------------------------
      3 2 3         4 2           3 2        2      4   3     2 2 2  
     a b c  - 16000a c  - 16000a*b c  + 8003a b*c, a b*c  + 3a b c  +
     ------------------------------------------------------------------------
          3    2 4 2     3 2         4   3 3 2         4              4   
     8003b c, a b c  + 3a b c + 8003a , a b c  - 16000a b*c - 16000a*b c +
     ------------------------------------------------------------------------
          2 2   4 2 2     2 3         4   5   2     3 2           3   6 2  
     8003a b , a b c  + 3a b c + 8003b , a b*c  + 3a b c + 8003a*b , a c  +
     ------------------------------------------------------------------------
       4           2 2   3 4          4 2       2 3         2 2   4 3   
     3a b*c + 8003a b , a b c - 16000a b  + 3a*b c  - 15997a c , a b c -
     ------------------------------------------------------------------------
           2 4     2   3         2 2   5 2          3 3     3 3  
     16000a b  + 3a b*c  - 15997b c , a b c - 16000a b  + 3a c  -
     ------------------------------------------------------------------------
               2   4 4     2 2 2     4   7      2 2 2         3          3   
     15997a*b*c , a b  + 6a b c  + 9c , a b + 6a b c  + 15997a c - 15997b c +
     ------------------------------------------------------------------------
       4   8            4 2           3 2       5         2      7 3  
     9c , a b*c + 15988a c  + 15997a*b c  + 9a*c  + 15988a b*c, a b  +
     ------------------------------------------------------------------------
           5         4        3           3   10 2      4 2           5  
     15988b c + 8021a  - 27a*b  + 15988a*c , a  b  + 27a b  + 15988a*b  +
     ------------------------------------------------------------------------
          2 3        2 2
     27a*b c  - 7940a c )

o6 : Ideal of S

i7 :