> < ^ Date: Thu, 24 May 2001 20:51:48 -0400
> < ^ From: David Joyner <wdj@usna.edu >
> ^ Subject: bug in IsAbelianNumberField?

Hello GAP Forum:

Is the following behavior a bug?

gap> S:=PolynomialRing(Rationals,["x"]);
<algebra-with-one over Rationals, with 1 generators>
gap> p0:=UnivariatePolynomial(Rationals,[1,1,1,1,1,1,1,1,1,1],1);
1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9
gap> p0:=UnivariatePolynomial(Rationals,[1,1,1,1,1,1,1,1,1,1,1],1);
1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10
gap> C11:=FieldExtension(Rationals,p0);
<field in characteristic 0>
gap> IsAbelianNumberField(C11);
value property is already set the other way at
SetIsPrimeField( P, true );
PrimeField( F ) called from
<function>( <arguments> ) called from read-eval-loop
Entering break read-eval-print loop, you can 'quit;' to quit to outer
loop,
or you can return to set it anyhow to continue
brk>

- David Joyner

--
Prof David Joyner, Mathematics Department
U. S. Naval Academy, Annapolis, MD 21402
phone: (410) 293-6738

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