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

Computes the orbit of an exceptional unit.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := EltExcepUnitOrbit(epsilon);</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  epsilon  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Computes the orbit of an exceptional unit
\varepsilon. The orbit is given by
 \left{ \varepsilon, quad
frac{1}{\varepsilon}, quad
1-\varepsilon, quad
frac{1}{1-\varepsilon}, quad
frac{\varepsilon-1}{\varepsilon}, quad
frac{\varepsilon}{\varepsilon-1} right}.

If \varepsilon is not an exceptional unit, an error message is
returned.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Compute the orbit of 1+zeta_7 \in Z[zeta_7]: 
<pre>

kash> o := Order(Poly(Zx,[1,1,1,1,1,1,1]));
Generating polynomial: x^6 + x^5 + x^4 + x^3 + x^2 + x + 1

kash> EltExcepUnitOrbit(Elt(o,[1,1,0,0,0,0]));
> [ [0, -1, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0], [0, -1, -1, -1, -1, -1], 
  [0, -1, 0, -1, 0, -1], [1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1] ]

</pre>

<p>


<hr>

<p>
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