Hi, I'm trying to construct a certain number field, of degree 64 over QQ (well, I'd like to check that using Sage !). It is constructed by adding a certain number of square roots. I have first tried
F0= QQ F1.<foo1>= F0.extension( polygen(F0)^2 - 2) ## adding sqrt(2) F2.<foo2>= F1.extension( polygen(F1)^2 - 5) ## adding sqrt(2) etc... but each step was slower than the previous one, and the last step just stalled, apparently. (Below are the details of the roots I'd like to add). I have tried alternatively to use QQbar, which made the input very easy, here is the whole thing: a= 2 b= -1 c= 5 ra= QQbar(sqrt(a)) rc= QQbar(sqrt(c)) rb= QQbar(sqrt(b)) alpha= 1 + ra gamma= 2 + rc A= (alpha^2 * gamma)/ ( (alpha+gamma) * (alpha*gamma + b) ) C= (alpha+gamma)*(alpha*gamma + b) / (b*alpha) delta= (alpha+gamma)/alpha rA= sqrt(A) rC= sqrt(C) rdelta= sqrt(delta) ## and finally: K, gens, phi= number_field_elements_from_algebraics([ra, rb, rc, rA, rC, rdelta], minimal= True) However this last command takes forever. (This is on SMC.) Is there anything else that I could try? Thanks ! Pierre -- 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.
