OK, I tried the following: S.<i,x,y> = PolynomialRing(QQ,order='lex') I = ideal(i^2+1,(1+i)*x+y,x+(1-i)*y-(1-i)) G = I.groebner_basis() G
would give me [i - x - 1, x^2 + 2*x + 2, y - 2] which are the results. But I am confused; why I can't get the result when I try to get a polynomial ring in the field of complex numbers implemented by sage? Also, does adding i**2+1=0 really extend the rational numbers to complex number field? Best Regards, On Monday, February 17, 2014 12:14:25 PM UTC-5, john_perry_usm wrote: > > ACK! Make sure I=sqrt(-1) first! > > john perry > > On Monday, February 17, 2014 10:37:30 AM UTC-6, sahi...@gmail.com wrote: >> >> Hi: >> >> I am trying to obtain solution of a system of polynomial equations with >> complex coefficients without success. For example, when I try >> >> S.<x,y> = PolynomialRing(CC,order='lex') >> I = ideal((1+i)*x+y,x+(1-i)*y-(1-i)) >> G = I.groebner_basis() >> >> I see this error: >> >> AttributeError: 'Ideal_generic' object has no attribute 'groebner_basis' >> >> I tried another ideal and I am getting the same error. What am I doing >> wrong? >> Any help would be well appreciated. >> >> Best Regards, >> >> >> -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/groups/opt_out.
