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

Given the output of <tt> RayClassField</tt>, this function computes
a primitive element for the Ray Class Field togther with the
automorphisms.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := RayClassFieldAuto(c);</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td>containing <tt> O</tt> and a list of automorphisms</td>
</tr>
<tr>
<td>list</td>
<td><pre>  c  </pre></td>
<td>output of <tt> RayClassField</tt></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Starting with the data computed by <tt> RayClassField</tt>, this function
first computes a primitive element for <tt> O/o</tt>. Next all the
automorphisms of <tt> O/o</tt> are computed, together with information
allowing one to use the Artin isomorphism.

If automorphisms of the base field (<tt> o</tt>) are known
(prior to the call of <tt> RayClassField</tt>), and if
they extend to <tt> O/Q</tt> they to are computed.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
We will consider various extensions of Q(\sqrt{10}) to demonstrate
some effects and possibilities:
<pre>

</pre>

<p>


<hr>

<p>
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