Hi! On 2012-12-13, Santanu Sarkar <sarkar.santanu....@gmail.com> wrote: > When I want to calculate > Groebner basis, I have following error. > > > verbose 0 (3292: multi_polynomial_ideal.py, groebner_basis) Warning: > falling back to very slow toy implementation.
This is not an error but a warning. > P1=next_prime(2^100) > R.<x,y,z>=GF(P1)[] The warning tells you that your finite field is so big that it can not be dealt with in (lib)Singular. Hence, if you want to compute a Gröbner basis over such a big finite prime field, Sage can not use the fast implementation in (lib)Singular; instead, Sage will try to use a generic implementation of Buchberger's algorithm (that's what is called "toy implementation" in the warning message). If you are lucky, the computation will succeed soon, if you aren't lucky, then there is not much one can do about it. Are you sure that you need this particularly large finite field? Would a smaller finite field do? Would QQ do? Best regards, Simon -- You received this message because you are subscribed to the Google Groups "sage-support" group. To post to this group, send email to sage-support@googlegroups.com. To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support?hl=en.