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

Returns the list of coefficient ideals of a relative order.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := OrderCoefIdeals(o);</pre>

<p>

<table>
<tr>
<td>list of ideals</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>relative order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Let o be a relative order over a maximal order O.
Then o can be represented via a pseudo basis:
 o = \a|1 \xi|1 +  &hellip;  + \a|n \xi|n  where
the \a|i are O-ideals and the \xi|i (possibly fractional)
elements of O.

The \a|i are the coefficient ideals (returned by this function),
the \xi|i are the basis elements (returned by <tt> OrderBasis</tt>).

Returns an error if the order is not relative.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
The coefficient ideals of a relative maximal order.
<pre>

kash> O := OrderMaximal(Z, 2, 10);
Generating polynomial: x^2 - 10
Discriminant: 40 

kash> o := OrderMaximal(O, 2, 5);
      F[1]
       |
      F[2]
        /
       /
   E1[1]
  /
 /
Q
F  [ 1]     Given by transformation matrix
F  [ 2]     x^2 - 5
E 1[ 1]     x^2 - 10
Discriminant: <1> 
Coef. Ideals are: <1>, <1, [5, 1] / 10>

kash> OrderCoefIdeals(o);
> [ <1>, <1, [5, 1] / 10> ]

</pre>

<p>


<hr>

<p>
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