I wonder how hard it could be to compute the Galois closure of the number field F generated by i and an ugly degree 4 polynomial in Z[i]. Or, equivalently, I can describe F as a degree 8 number field over Q, given by
g^8 - 5661818/709635*g^7 + 11951452814641/503581833225*g^6 - 5464287298588/167860611075*g^5 + 42311165180509/503581833225*g^4 + 290446480816/167860611075*g^3 + 6817133713732/503581833225*g^2 - 11294971392/55953537025*g + 2238425344/503581833225 It is meant to take hours, or is it just hopeless? (I'm trying to do some computations with plane curves, and complex conjugation plays an important role in the business) Thanks, Dima -- You received this message because you are subscribed to the Google Groups "sage-nt" 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 https://groups.google.com/group/sage-nt. For more options, visit https://groups.google.com/d/optout.
