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

Returns whether a function field order is finite.

<p><p>

<h3>
Syntax:
</h3>
<pre>b := AlffOrderIsFinite(o);</pre>

<p>

<table>
<tr>
<td>boolean</td>
<td><pre>  b  </pre></td>
<td></td>
</tr>
<tr>
<td>alff order</td>
<td><pre>  P  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
<i>no detailed description available yet</i>

<p><p>

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

<pre>

kash> k := FF(3);
Finite field of size 3
kash> AlffInit(k);
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> f := y^3-(T+1)*y^2+2*y*T-T^5;
y^3 + (2*T + 2)*y^2 + 2*T*y + 2*T^5
kash> F:=Alff(f);
Algebraic function field defined by
.1^3 + 2*.1^2*.2 + 2*.1^2 + 2*.1*.2 + 2*.2^5
over
Univariate rational function field over GF(3)
Variables: T

kash> AlffOrders(f);
"Defining global variables: F, o, oi, one"
kash> oe := AlffOrderEqFinite(F);
Finite equation order of 
Algebraic function field defined by
.1^3 + 2*.1^2*.2 + 2*.1^2 + 2*.1*.2 + 2*.2^5
over
Univariate rational function field over GF(3)
Variables: T

kash> oie:=AlffOrderEqInfty(F);
Infinite maximal order of 
Algebraic function field defined by
.1^3 + 2*.1^2*.2 + 2*.1^2 + 2*.1*.2 + 2*.2^5
over
Univariate rational function field over GF(3)
Variables: T

kash> AlffOrderIsFinite(o);
true
kash> AlffOrderIsFinite(oi);
false
kash> AlffOrderIsFinite(oe);
true
kash> AlffOrderIsFinite(oie);
> false

</pre>

<p>


<hr>

<p>
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