-- -*- M2-comint -*- {* hash: -598749013 *}

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

o1 = R

o1 : PolynomialRing

i2 : tangentCone ideal "xz-y3,yz-x4,z2-x3y2"

             2             4
o2 = ideal (z , y*z, x*z, y )

o2 : Ideal of R

i3 : tangentCone ideal "z2-x5,zx-y3"

             2        3    6
o3 = ideal (z , x*z, y z, y )

o3 : Ideal of R

i4 : tangentCone ideal "x3+x2z2,x2y+xz3+z5"

             2    3   2 3        5      6     7     9
o4 = ideal (x y, x , x z , 2x*y*z  - x*z , x*z , y*z )

o4 : Ideal of R

i5 : betti oo

            0 1
o5 = total: 1 6
         0: 1 .
         1: . .
         2: . 2
         3: . .
         4: . 1
         5: . .
         6: . 1
         7: . 1
         8: . .
         9: . 1

o5 : BettiTally

i6 :