<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>conwayPolynomial -- provide a Conway polynomial</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div>next | <a href="index.html">previous</a> | forward | <a href="index.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>conwayPolynomial -- provide a Conway polynomial</h1> <div class="single"><h2>Description</h2> <div><div><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>conwayPolynomial q</tt></div> </dd></dl> </div> </li> <li>Inputs:<ul><li><span><tt>q</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, a power of a prime number</span></li> </ul> </li> <li>Outputs:<ul><li><span>a Conway polynomial whose roots generate a field with q elements</span></li> </ul> </li> </ul> <table class="examples"><tr><td><pre>i1 : conwayPolynomial 125 3 o1 = a - 2a - 2 ZZ o1 : --[a] 5</pre> </td></tr> </table> </div> <div><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>conwayPolynomial(p,n)</tt></div> </dd></dl> </div> </li> <li>Inputs:<ul><li><span><tt>p</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, a prime number</span></li> <li><span><tt>n</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span></span></li> </ul> </li> <li>Outputs:<ul><li><span>a Conway polynomial whose roots generate a field with p^n elements</span></li> </ul> </li> </ul> <table class="examples"><tr><td><pre>i2 : conwayPolynomial(2,20) 20 10 9 7 6 5 4 o2 = a + a + a + a + a + a + a + a + 1 ZZ o2 : --[a] 2</pre> </td></tr> </table> </div> </div> </div> <div class="waystouse"><h2>Ways to use <tt>conwayPolynomial</tt> :</h2> <ul><li>conwayPolynomial(ZZ)</li> <li>conwayPolynomial(ZZ,ZZ)</li> </ul> </div> </div> </body> </html>