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<head><title>initialIdeals -- calls gfan and returns the list of initial ideals</title>
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<div><h1>initialIdeals -- calls gfan and returns the list of initial ideals</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>initialIdeals(I)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Ideal.html">ideal</a></span>, the ideal</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, the list of initial ideals of I. Note that each initial ideal is given as a list of monomial generators in ring(I), not as a monomial ideal.</span></li>
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<div class="single"><h2>Description</h2>
<div>Given an ideal <tt>I</tt> in <tt>M2</tt>, this function calls <tt>gfan</tt> and returns the list of initial ideals of <tt>I</tt>. <table class="examples"><tr><td><pre>i1 : R = QQ[a,b];</pre>
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<tr><td><pre>i2 : I = ideal(a^2+b^2,a*b);
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : initialIdeals(I)
LP algorithm being used: "cddgmp".
3 2 2 3
o3 = {{b , a*b, a }, {b , a*b, a }}
o3 : List</pre>
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<div class="waystouse"><h2>Ways to use <tt>initialIdeals</tt> :</h2>
<ul><li>initialIdeals(Ideal)</li>
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