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

Returns the numerator of an object.

<p><p>

<h3>
Syntax:
</h3>
<pre>d := Num( q );
d := Num( a );
d := Num(I);</pre>

<p>

<table>
<tr>
<td>integer</td>
<td><pre>  d  </pre></td>
<td></td>
</tr>
<tr>
<td>quotient field element or polynomial</td>
<td><pre>  d  </pre></td>
<td></td>
</tr>
<tr>
<td>rational</td>
<td><pre>  q  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic function field order element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
<tr>
<td>quotient field element or polynomial</td>
<td><pre>  q  </pre></td>
<td></td>
</tr>
<tr>
<td>ideal</td>
<td><pre>  I  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
For a rational number the function returns the numerator of the
rational argument.
For an algebraic number a or for a fractional ideal \a the
function returns dcdot a or dcdot \a. d is the smallest
integer that dcdot a is an algebraic integral
or an integral ideal
For an algebraic function field order element
see <tt> AlffEltDen</tt>.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
An absolute example for an algebraic element: 
<pre>

kash> o := Order (x^3 - 23*x^2 + 146*x - 244);;
kash> a := Elt (o, [1/2,3/5,45/5657567]);
[28287835, 33945402, 450] / 56575670
kash> Num ( a );
> [28287835, 33945402, 450]

</pre>

<p>


<hr>

<p>
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