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

Returns the numerator of an algebraic function field element.

<p><p>

<h3>
Syntax:
</h3>
<pre>b := AlffEltNum(a);</pre>

<p>

<table>
<tr>
<td>algebraic function field element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic function field element</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffEltDen">AlffEltDen</a>, <a href="kashref.html#AlffEltToList">AlffEltToList</a>, <a href="kashref.html#Num">Num</a>, <a href="kashref.html#Den">Den</a>

<p>

<h3>
Description:
</h3>
Let a be defined with respect to the R-order o
in F/k(T) of rank n with basis
b_1, &hellip; ,b_n, R being k[T] or the valuation ring
of the degree valuation of k(T).
For a = \sum_{i=1}^n c_i b_i/d, c_i,d\in
R coprime, (1 &lt;=  i &lt;=  n), the function
returns \sum_{i=1}^n c_i b_i/d.

<p><p>

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

<pre>

kash> AlffInit(FF(5,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^4+1);
"Defining global variables: F, o, oi, one"
kash> a := AlffElt(o, [0, 1, 0]);
[ 0, 1, 0 ]
kash> 1/a;
[ 0, 0, 4 ] / (T^4 + 1)
kash> AlffEltNum(1/a);
> [ 0, 0, 4 ]

</pre>

<p>


<hr>

<p>
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