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<div><h1>lexgin -- the generic initial ideal with respect to lexicographical order</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>lexgin I</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, an <a href="../../Macaulay2Doc/html/___Ideal.html" title="the class of all ideals">Ideal</a> in a polynomial<a href="../../Macaulay2Doc/html/___Ring.html" title="the class of all rings">Ring</a></span></li>
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<li><div class="single">Outputs:<ul><li><span>an <a href="../../Macaulay2Doc/html/___Ideal.html" title="the class of all ideals">Ideal</a>, the generic initial ideal of <tt>I</tt>.</span></li>
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<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><tt>AttemptCount => </tt><span><span>default value 7</span>, sets the number of random coordinate changes the routine attempts before choosing the potential<tt>gin</tt> .</span></span></li>
<li><span><tt>Modular => </tt><span><span>default value false</span>, if set to be true, computations are performed modulo a large random prime .</span></span></li>
<li><span><tt>Verbose => </tt><span><span>default value false</span>, provides a summary of the random initial ideals generated and warns if the selected one is not strongly stable.</span></span></li>
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<div class="single"><h2>Description</h2>
<div><p>Same as gin with MonomiaOrder => Lex</p>
<p>This symbol is provided by the package <a href="index.html" title="">GenericInitialIdeal</a>.</p>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_gin.html" title="the generic initial ideal">gin</a> -- the generic initial ideal</span></li>
</ul>
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<div class="waystouse"><h2>Ways to use <tt>lexgin</tt> :</h2>
<ul><li><span><a href="_lexgin_lp__Ideal_rp.html" title="the generic initial ideal with respect to lexicographical order">lexgin(Ideal)</a> -- the generic initial ideal with respect to lexicographical order</span></li>
<li><span><a href="_lexgin_lp__Quotient__Ring_rp.html" title="the generic initial ideal with respect to lexicographical order">lexgin(QuotientRing)</a> -- the generic initial ideal with respect to lexicographical order</span></li>
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