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EltNorm

Returns the norm of an algebraic element in a given order.

Syntax:

n := EltNorm(a [,o]);

rational number or algebraic element
  n  
algebraic element
  a  
order
  o  

See also:  EltTrace

Description:

no detailed description available yet


Example:

Computation of a norm of an algebraic element.

kash> o := Order (Poly(Zx,[1,0,73,-280,-2399]));;
kash> O := OrderMaximal (o);;
kash> oo := Order (O,2,3);
      F[1]
        /
       /
   E1[1]
    |
   E1[2]
  /
 /
Q
F  [ 1]     x^2 - 3
E 1[ 1]     Given by transformation matrix
E 1[ 2]     x^4 + 73*x^2 - 280*x - 2399

kash> a := Elt (oo,[[0,0,0,1],4]/2);;
kash> EltNorm (a);
> [705, 55, -765, 758] / 4


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