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

Computes the index of an algebraic element, an order
or an alff order

<p><p>

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

<p>

<table>
<tr>
<td>coefficient ring element</td>
<td><pre>  I  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
<tr>
<td>order alff order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
For an algebraic element a in an arbitrary order o over Z
this function returns the modul index (o : Z[\alpha] 
Given an order this function returns the index of the suborder
o_1 of o in o.
Given an alff order this function returns the index of the
equation order in the given order.

<p><p>

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

<pre>

kash> o := Order(Z,5,3);
Generating polynomial: x^5 - 3

kash> a := Elt(o, [0,0,1,1,1]);
[0, 0, 1, 1, 1]
kash> I := Index(a);
> 3501

</pre>

<p>


<hr>

<p>
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