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

Returns the relative degree of the given order.

<p><p>

<h3>
Syntax:
</h3>
<pre>d := OrderDeg(o);</pre>

<p>

<table>
<tr>
<td>integer</td>
<td><pre>  d  </pre></td>
<td></td>
</tr>
<tr>
<td>order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#OrderDegAbs">OrderDegAbs</a>

<p>

<h3>
Description:
</h3>
Returns the degree [Q(o) : Q(C(o))] of Q(o) as vector
space over Q(C(o)), where C(o) is the coefficient ring of the
given order.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Some relative degrees of extensions. 
<pre>

kash> F := Order (Poly (Zx,[1,0,-186,0,13097,0,-412704,0,4946176]));
Generating polynomial: x^8 - 186*x^6 + 13097*x^4 - 412704*x^2 + 4946176

kash> E := Order (F, 2, 7);
      F[1]
        /
       /
   E1[1]
  /
 /
Q
F  [ 1]     x^2 - 7
E 1[ 1]     x^8 - 186*x^6 + 13097*x^4 - 412704*x^2 + 4946176

kash> OrderDeg (E);
2
kash> OrderDeg (F);
> 8

</pre>

<p>


<hr>

<p>
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