Ok, this was answered on:
http://ask.sagemath.org/question/24173/homomorphisms-for-relative-number-fields/
Regards
Jonas
On 17.09.2014 23:31, Jonas Jermann wrote:
Hi
How can I define a homomorphism from a relative number field
to some other field L which sends (all) the generators to
corresponding specified elements?
Example:
F_pol = x^2-x-1
F = NumberField(F_pol, 'lam')
K_pol = x^2 + 4
K = F.extension(K_pol, 'e')
L = QQbar
lam_im = QQbar(F_pol.roots()[1][0])
e_im = QQbar(K_pol.roots()[1][0])
# Wrong result:
K.hom([e_im], QQbar, check=False)
# Want (but doesn't work):
K.hom([e_im, lam_im], QQbar, check=False)
Best
Jonas
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