Dear Adela,

On Feb 9, 10:56 am, Adela <[email protected]> wrote:
> My computer has been  working uninterrupted  for almost 19 hours with
> the Groebner basis and still no response.
>
> Should it be alright? It is becoming slower  in responding to any
> other simple command..

As mentioned above: Gröbner basis computations are potentially
extremely challenging, although it is often worth to try; and it is
impossible to say without trying whether a computation will succeed.

19 hours is not much for a really big system. I had computations
running for about a month (requiring 16 Gb of memory).

If your computer is becoming slower then probably the RAM is
completely full, so that the swap is used.

It is difficult to tell whether you should leave it work. This depends
on many things, for example: How important is that Gröbner basis for
your work? How important is it that you can use your computer for
other things in the next few weeks?

Are you using lexicographic ordering? This is often the most
difficult, but is useful when you want to find actual solutions to
your polynomial system of equations.

Perhaps you can start with finding the Gröbner basis for a degrevlex
ordering? This may give you more information about how to continue.

Cheers,
     Simon

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