Hello everyone! I'm trying to run macauly through sage(it won't work 
properly on my own laptop, I think that some of the calculations take up 
too much ram and crash my laptop). Anyways, so everything has worked fine 
except calculating the groebner basis in this one case. Note that this 
crashed my laptop when i tried running it. Here is the code:


I = ideal(-1 - z12*z21 + z11*z22,y1 - x1*z11^3 - 3*x2*z11^2*z21 - 3*x3*z11*
z21^2 - x4*z21^3,y2 - x1*z11^2*z12 - 2*x2*z11*z12*z21 - x3*z12*z21^2 - x2*
z11^2*z22 - 2*x3*z11*z21*z22 - x4*z21^2*z22,y3 - x1*z11*z12^2 - x2*z12^2*z21 
- 2*x2*z11*z12*z22 - 2*x3*z12*z21*z22 - x3*z11*z22^2 - x4*z21*z22^2,y4 - x1*
z12^3 - 3*x2*z12^2*z22 - 3*x3*z12*z22^2 - x4*z22^3,y5 + x8*z12^3 - x7*z12^2*z22 
+ x6*z12*z22^2 - x5*z22^3,y6 - 3*x8*z11*z12^2 + x7*z12^2*z21 + 2*x7*z11*z12*z22 
- 2*x6*z12*z21*z22 - x6*z11*z22^2 + 3*x5*z21*z22^2,y7 + 3*x8*z11^2*z12 - 2*
x7*z11*z12*z21 + x6*z12*z21^2 - x7*z11^2*z22 + 2*x6*z11*z21*z22 - 3*x5*z21^2
*z22,y8 - x8*z11^3 + x7*z11^2*z21 - x6*z11*z21^2 + x5*z21^3)

z12,z21,z11,z22,y1,x1,x2,x3,x4,y2,y3,y4,y5,y6,y7,y8,x5,x6,x7,x8 = QQ[
'z12,z21,z11,z22,y1,x1,x2,x3,x4,y2,y3,y4,y5,y6,y7,y8,x5,x6,x7,x8'].gens()
B = I.groebner_basis()



On another worksheet, I actually used macauly through sage, to try and do 
the equivalent thing(I wanted to see if there would be a time difference).

%default_mode macaulay2
I = ideal(-1 - z12*z21 + z11*z22,y1 - x1*z11^3 - 3*x2*z11^2*z21 - 3*x3*z11*
z21^2 - x4*z21^3,y2 - x1*z11^2*z12 - 2*x2*z11*z12*z21 - x3*z12*z21^2 - x2*
z11^2*z22 - 2*x3*z11*z21*z22 - x4*z21^2*z22,y3 - x1*z11*z12^2 - x2*z12^2*z21 
- 2*x2*z11*z12*z22 - 2*x3*z12*z21*z22 - x3*z11*z22^2 - x4*z21*z22^2,y4 - x1*
z12^3 - 3*x2*z12^2*z22 - 3*x3*z12*z22^2 - x4*z22^3,y5 + x8*z12^3 - x7*z12^2*z22 
+ x6*z12*z22^2 - x5*z22^3,y6 - 3*x8*z11*z12^2 + x7*z12^2*z21 + 2*x7*z11*z12*z22 
- 2*x6*z12*z21*z22 - x6*z11*z22^2 + 3*x5*z21*z22^2,y7 + 3*x8*z11^2*z12 - 2*
x7*z11*z12*z21 + x6*z12*z21^2 - x7*z11^2*z22 + 2*x6*z11*z21*z22 - 3*x5*z21^2
*z22,y8 - x8*z11^3 + x7*z11^2*z21 - x6*z11*z21^2 + x5*z21^3)

gens gb I



So, this has been running for about 12 hours now. I have a membership, so I 
don't really mind that it's taking so long, but I wanted to make sure that 
it's actually still running... also, why is it taking so long? And how long 
should I expect it to take? Thank you!

-Saad

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