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

Returns the signature of a global function field extension
F/FF_q(T).

<p><p>

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

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>global function field</td>
<td><pre>  F  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
The function returns the list L:=[[e_1,f_1], &hellip; ,[e_s,f_s]]
consisting of the ramification and relative degrees of
the inequivalent valuations of F extending
the degree valuation of FF_q(T)
ordered according to

(e_i<e_j) or (e_i=e_j and f_i &lt;=  f_j) for all 
i<j.

<p><p>

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

<pre>

kash> AlffInit(FF(5,2));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^4+1);
"Defining global variables: F, o, oi, one"
kash> AlffSignature(F);
> [ [ 3, 1 ] ]

</pre>

<p>


<hr>

<p>
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