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

Returns the generators and the orders of the generators of the ray
class group modulo a congruence module as computed using
<tt> RayClassGroup</tt>.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := RayClassGroupCyclicFactors(m0 [,minf]);</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>ideal </td>
<td><pre>  m0  </pre></td>
<td></td>
</tr>
<tr>
<td>list </td>
<td><pre>  minf  </pre></td>
<td>of integers/infinite primes </td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#EltCon">EltCon</a>, <a href="kashref.html#IdealRayClassRep">IdealRayClassRep</a>, <a href="kashref.html#OrderClassGroup">OrderClassGroup</a>, <a href="kashref.html#RayClassGroup">RayClassGroup</a>

<p>

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

<p><p>

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

<pre>

kash> O := OrderMaximal(Order(Z,2,10));;
kash> OrderClassGroup(O,500,"euler");
[ 2, [ 2 ] ]
kash> m0 := 7*13*11*O;;
kash> L := RayClassGroupCyclicFactors(m0);
[ [ <[184, 728], [3640, 92]>, 12 ], [ <[463, 924]>, 12 ], 
  [ <[92, 364]>, 120 ] ]
kash> IdealRayClassRep(L[1][1],m0);
[1 0 0]
kash> IdealRayClassRep(L[2][1],m0);
[0 1 0]
kash> IdealRayClassRep(L[3][1],m0);
> [0 0 1]

</pre>

<p>


<hr>

<p>
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