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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="OrderKextDisc"></a>
OrderKextDisc
</h2>

Computes the relative discriminant of a Kummer extension of prime degree.

<p><p>

<h3>
Syntax:
</h3>
<pre>disc := OrderKextDisc(F);</pre>

<p>

<table>
<tr>
<td>ideal</td>
<td><pre>  disc  </pre></td>
<td></td>
</tr>
<tr>
<td>order</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
The function computes the relative discriminant of a Kummer
extension of prime degree using results of Dabe2.
The function will first check, whether or
not F is such
an extension. The Discriminant is an ideal in the coefficient ring
of F.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Discriminant of {\Bbb Q}(\sqrt{10}, \sqrt{5}) over {\Bbb Q} (\sqrt{10}) 
<pre>

kash> E := OrderMaximal (Z,2,10);;
kash> F := Order (E,2,5);
      F[1]
        /
       /
   E1[1]
  /
 /
Q
F  [ 1]     x^2 - 5
E 1[ 1]     x^2 - 10

kash> OrderKextDisc (F);
> <1, 1>

</pre>

<p>


<hr>

<p>
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