zekhnini on Sun, 01 Jan 2012 11:26:14 +0100 |
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ideal principal in relative extension |
Dear users, I want to know if the thow ideals M and N are principal in the relative extension K=k(sqrt(2+8*i)) of the field k=Q(sqrt(2*17*5),i ). what can I do? T=polcompositum(y^2+1,y^2-2*17*5)[1]; k=nfinit(T); P=x^2-Mod(y^4-4*y^2+4*17,k.pol); K=rnfinit(k,P); Keqn=rnfequation(k,P,1)[1]; Kabs=nfinit(Keqn); H1=idealprimedec(k,17)[1]; H2=idealprimedec(k,17)[2]; M=rnfidealup(K,H1); N=rnfidealup(K,H2); MK= mathnf( Mat( nfalgtobasis(Kabs, M) ) ); NK= mathnf( Mat( nfalgtobasis(Kabs, N) ) ); It responds nfalgtobasis: incorrect type in algtobasis. Thanks for help. zekhnini