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

Computes a maximal system of independent units.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := OrderUnitsIndep(o);
L := OrderUnitsIndep(o,"classgroup");
L := OrderUnitsIndep(o,"classgroup","list");</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Let o be an absolute order with unit rank r \ge 1.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
A set of independent units in the maximal order
of x^4 + 73x^2 - 280x - 2399. 
<pre>

kash> O := OrderMaximal (Order (Poly(Zx,[1,0,73,-280,-2399])));
   F[1]
    |
   F[2]
  /
 /
Q
F  [ 1]     Given by transformation matrix
F  [ 2]     x^4 + 73*x^2 - 280*x - 2399
Discriminant: -997975 

kash> OrderUnitsIndep (O);
> [ [0, 0, 1, -1], [109589, -13889, 743946, -766419] ]

</pre>

<p>


<hr>

<p>
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