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

Returns the discriminant of an algebraic function field order
up to a unit.

<p><p>

<h3>
Syntax:
</h3>
<pre>d := AlffOrderDisc(o);</pre>

<p>

<table>
<tr>
<td>polynomial or quotient field element</td>
<td><pre>  d  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic function field order</td>
<td><pre>  o  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#Alff">Alff</a>, <a href="kashref.html#AlffOrderMaxFinite">AlffOrderMaxFinite</a>, <a href="kashref.html#AlffOrderMaxInfty">AlffOrderMaxInfty</a>

<p>

<h3>
Description:
</h3>
The discriminant d is an element of the order's coefficient ring,
i.e. d is in k[T] or in the valuation ring of the degree
valuation of k(T). It is determined up to a unit.

<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> AlffOrderDisc(o);
3*T^8 + T^4 + 3
kash> AlffOrderDisc(oi);
> (3*T^8 + T^4 + 3)/T^10

</pre>

<p>


<hr>

<p>
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