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

Creates a (relative) lattice.

<p><p>

<h3>
Syntax:
</h3>
<pre>Lambda := Lat(M,["basis"|"gram"]);
Lambda := Lat(o [,"mink"|"unit"]);
Lambda := Lat(a);
Lambda := Lat(Delta,L);
Lambda := Lat(Delta,M [,"trans"|"basis"|"gram"]);
Lambda := Lat(Module);</pre>

<p>

<table>
<tr>
<td>lattice</td>
<td><pre>  Lambda  </pre></td>
<td></td>
</tr>
<tr>
<td>matrix</td>
<td><pre>  M  </pre></td>
<td></td>
</tr>
<tr>
<td>order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
<tr>
<td>ideal</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>lattice</td>
<td><pre>  Delta  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
At the moment there are nine different ways to define
a lattice in kash.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Creating the lattice
 \Lambda = Z  \left(\begin{array}{c} 1 2 \end{array}right)
+ Z  \left(\begin{array}{c} 2 1 \end{array} right) \; :
 
<pre>

kash> B := Mat(Z,[[1,2],[2,1]]);
[1 2]
[2 1]
kash> Lambda := Lat(B);
> Basis:
[1 2]
[2 1]


</pre>

<p>


<hr>

<p>
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