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

Creates an ideal with LLL-reduced real basis

<p><p>

<h3>
Syntax:
</h3>
<pre>I := IdealLLL(a);</pre>

<p>

<table>
<tr>
<td>ideal</td>
<td><pre>  I, a  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
The function calculates a real basis for a given
ideal \a and performs a LLL reduction on it.

<p><p>

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

<pre>

kash> o:=OrderMaximal(Z,2,2);
Generating polynomial: x^2 - 2
Discriminant: 8 

kash> id:=Factor(7*o)[1][1]^44;
<15286700631942576193765185769276826401, [11817265640666745415214483233, 83560\
68669598246694295007788]>
kash> IdealLLL(id);
> <
[ 1985257763218632743  4216024203981766227]
[ 3100640983600199485 -1115383220381566742]
>


</pre>

<p>


<hr>

<p>
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