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

Computes a root of an algebraic element.

<p><p>

<h3>
Syntax:
</h3>
<pre>beta := EltRoot(alpha,m);
beta := EltRoot(alpha,m [,"enum"|"mode"]);
beta := EltRoot(alpha,m ,"enum", mode);</pre>

<p>

<table>
<tr>
<td>false or algebraic element</td>
<td><pre>  beta  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  alpha  </pre></td>
<td></td>
</tr>
<tr>
<td>small integer</td>
<td><pre>  m  </pre></td>
<td></td>
</tr>
<tr>
<td>small integer or string</td>
<td><pre>  mode  </pre></td>
<td></td>
</tr>
<tr>
<td>string</td>
<td><pre>  enum  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
Let \alpha be an algebraic element from a maximal order O.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Computation of roots of some algebraic elements: 
<pre>

kash> o := Order (Poly(Zx,[1,0,73,-280,-2399]));;
kash> o := OrderMaximal (Order (Poly(Zx,[1,0,73,-280,-2399])));;
kash> a := Elt (o,[48427150173, 2658413621, -99500340384, 103801743979]);
[48427150173, 2658413621, -99500340384, 103801743979]
kash> EltRoot (a, 2);
[156369, 8584, -321281, 335170]
kash> o := OrderMaximal (Order (Z,7,2));;
kash> a := Elt (o, 2);
2
kash> EltRoot (a,2);
false
kash> EltRoot (a,7);
> [0, 1, 0, 0, 0, 0, 0]

</pre>

<p>


<hr>

<p>
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