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

Computes the n'th cyclotomic field.

<p><p>

<h3>
Syntax:
</h3>
<pre>o := OrderCyclotomic(n);</pre>

<p>

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

<p>


<h3>
Description:
</h3>
<i>no detailed description available yet</i>

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>
kash> o := OrderCyclotomic(15);
Generating polynomial: x^8 - x^7 + x^5 - x^4 + x^3 - x + 1

kash> OrderIsMaximal(o);
true
kash> OrderDisc(o);
1265625
kash> OrderAutomorphisms(o, []);
> [ [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], 
  [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], 
  [-1, 1, 0, -1, 1, -1, 0, 1], [0, -1, 0, 0, 0, 0, -1, 0], 
  [1, -1, 0, 0, -1, 1, 0, -1], [1, 0, -1, 1, -1, 0, 1, -1] ]

</pre>

<p>


<hr>

<p>
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