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

Returns the 2 generators of the 2-element-representation of the
ideal.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := IdealGenerators(I);</pre>

<p>

<table>
<tr>
<td>ideal </td>
<td><pre>  I  </pre></td>
<td></td>
</tr>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td>of two algebraic numbers</td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Ideals are given either in Z-basis representation or 2
element representation. If the ideal is given in 2 element
representation this representation is simply returned. Otherwise it
will be computed. In this case the ideal has got 2 equivalent
representations stored afterwards. This can be of advantage because
some algorithms prefer 2 element representations, others prefer
Z-basis representations.

<p><p>

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

<pre>

kash> O := OrderMaximal(Order(Poly(Zx, [1, 6, 6, 6])));;
kash> Lp:=Factor(6*O);
[ [ <2, [0, 1, 0]>, 3 ], [ <3, [0, 1, 0]>, 3 ] ]
kash> I := Lp[1][1]*Lp[2][1];
<
[6 0 0]
[0 1 0]
[0 0 1]
>

kash> IdealGenerators(I);
> [ 6, [0, 1, 35] ]

</pre>

<p>


<hr>

<p>
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