[GAP Forum] real value approximation

Paraskevas Alvanos paris14 at math.auth.gr
Thu Jul 17 20:18:51 BST 2008

Dear GAP forum,

I would like to know if there is a way to have evaluate the primitive  
element of a numberfield


x := Indeterminate(Rationals);
g := x ^2 - 2;
F := FieldByPolynomial(g);
a := PrimitiveElement(F);

Is it a way to determine which conjugate a. Can I have an approximate  
real value of a;
Of course a can simple ask


and wait for true or false,
but when I have 10-20 real and complex conjugates should I find a  
constructive way to understand which is my primitive element or there  
is something much easier that I am missing.

Thanks everybody in advance
paraskevas alvanos

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