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<h2><a name="AlffPlacesDegOne"></a>
AlffPlacesDegOne
</h2>

Computes all places of degree one of a global function field.

<p><p>

<h3>
Syntax:
</h3>
<pre>L := AlffPlacesDegOne(F);</pre>

<p>

<table>
<tr>
<td>global function field</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td>of alff places of degree 1</td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#AlffPlacesDegOneNum">AlffPlacesDegOneNum</a>, <a href="kashref.html#AlffPlaces">AlffPlaces</a>, <a href="kashref.html#AlffPlacesNum">AlffPlacesNum</a>, <a href="kashref.html#AlffPlaceRandom">AlffPlaceRandom</a>

<p>

<h3>
Description:
</h3>
This function returns a list of all places of degree one
of a global function field F. The constant field
of definition should be the
exact constant field of F since the degree is taken over the
former.

<p><p>

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

<pre>

kash> AlffInit(FF(2, 3));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^3*y+T);
"Defining global variables: F, o, oi, one"
kash> AlffPlacesDegOne(F);
[ Alff place < [ 1/T, 0, 0 ], [ w^3/T, w, (w^2*T + w^6)/T ] >, 
  Alff place < [ 1/T, 0, 0 ], [ (T + w)/T, (w*T + w^4)/T, (T + w^6)/T ] >, 
  Alff place < [ T, 0, 0 ], [ 0, 1, 0 ] >, 
  Alff place < [ T + w, 0, 0 ], [ 1, 1, 0 ] >, 
  Alff place < [ T + w, 0, 0 ], [ w^2, 1, 0 ] >, 
  Alff place < [ T + w, 0, 0 ], [ w^6, 1, 0 ] >, 
  Alff place < [ T + w^2, 0, 0 ], [ 1, 1, 0 ] >, 
  Alff place < [ T + w^2, 0, 0 ], [ w^4, 1, 0 ] >, 
  Alff place < [ T + w^2, 0, 0 ], [ w^5, 1, 0 ] >, 
  Alff place < [ T + w^3, 0, 0 ], [ w^2, 1, 0 ] >, 
  Alff place < [ T + w^3, 0, 0 ], [ w^3, 1, 0 ] >, 
  Alff place < [ T + w^3, 0, 0 ], [ w^5, 1, 0 ] >, 
  Alff place < [ T + w^4, 0, 0 ], [ 1, 1, 0 ] >, 
  Alff place < [ T + w^4, 0, 0 ], [ w, 1, 0 ] >, 
  Alff place < [ T + w^4, 0, 0 ], [ w^3, 1, 0 ] >, 
  Alff place < [ T + w^5, 0, 0 ], [ w, 1, 0 ] >, 
  Alff place < [ T + w^5, 0, 0 ], [ w^5, 1, 0 ] >, 
  Alff place < [ T + w^5, 0, 0 ], [ w^6, 1, 0 ] >, 
  Alff place < [ T + w^6, 0, 0 ], [ w^3, 1, 0 ] >, 
  Alff place < [ T + w^6, 0, 0 ], [ w^4, 1, 0 ] >, 
  Alff place < [ T + w^6, 0, 0 ], [ w^6, 1, 0 ] >, 
  Alff place < [ T + 1, 0, 0 ], [ w, 1, 0 ] >, 
  Alff place < [ T + 1, 0, 0 ], [ w^2, 1, 0 ] >, 
  Alff place < [ T + 1, 0, 0 ], [ w^4, 1, 0 ] > ]

</pre>

<p>


<hr>

<p>
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