<a href="ComputationsBook/chapters/constructions/chapter-wrapper.dvi">dvi</a>,
        <a href="ComputationsBook/chapters/constructions/chapter-wrapper.ps">postscript</a>,
        <a href="ComputationsBook/chapters/constructions/chapter-wrapper.pdf">pdf</a>.<br/>

	     In this article we illustrate how picking points over a finite field at
	     random can help to investigate algebraic geometry questions.  In the first
	     part we develop a program that produces random curves of genus g &lt; 15. In
	    