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

Returns a matrix v with the logarithms of the absolute values of
the
conjugates the algebraic number a. Matrix v has length r|1+r|2.

<p><p>

<h3>
Syntax:
</h3>
<pre>v := EltLogs(a);</pre>

<p>

<table>
<tr>
<td>real matrix</td>
<td><pre>  v  </pre></td>
<td></td>
</tr>
<tr>
<td>algebraic element</td>
<td><pre>  a  </pre></td>
<td></td>
</tr>
</table>

<p>


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

<p>

<h3>
Description:
</h3>
Let \tau|1, &hellip; ,\tau|s be all archimedian valuations of
the the number field containing a. Then v is defined as

v = [\tau|1(a), &hellip; , \tau|s(a)].


<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Matrix of logarithms of archimedean valuations of an algebraic element. 
<pre>

kash> O := Order (Poly(Zx,[1,0,73,-280,-2399]));
Generating polynomial: x^4 + 73*x^2 - 280*x - 2399

kash> rho := Elt(O,[0,1,0,0]);
[0, 1, 0, 0]
kash> EltLogs (rho);
> [1.80894505471195860607076588169642554084529697289 1.3527212036195319561389981\
23553287717215552888911 2.310570502254102005606434026695873075937323698075]

</pre>

<p>


<hr>

<p>
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