On Tue, May 13, 2014 at 2:19 PM, <[email protected]> wrote: > It is known that a polynomial x^2 +x +1= 0 has a solution in Zp if and only > if -3 is a square root > in Zp, which is if and only if p=1.mod 6. the splitting field Zp(y1) where > y1 is a solution of the polynomial x^2 +x +1= 0 . >
So, * Zp(y1) is not a complex field and * you mistakenly put CC when you meant a finite field and * you mistakenly wrote y1=-0.5000 + 0.8660*i when you meant y1 is a 3rd root of unity in a field GF(p), where p is 1 (mod 6)? Is that correct? If so, * figure out what p you want to use, * compute what y1 is in that case, * replace CC by GF(p) i your Sage code. > > -- > 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 [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sage-support. > > For more options, visit https://groups.google.com/d/optout. -- 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
