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<head><title>koszulComplex -- Gives the Koszul complex on the generators of I.</title>
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<div><h1>koszulComplex -- Gives the Koszul complex on the generators of I.</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>koszulComplex(I)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>I</tt>, </span></li>
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<li><div class="single">Outputs:<ul><li><span>ChainComplex</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>LengthLimit => ...</tt> (missing documentation<!-- tag: koszulComplex(..., LengthLimit => ...) -->), </span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = ZZ/101[a,b,c]
o1 = R
o1 : PolynomialRing</pre>
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<tr><td><pre>i2 : K = koszulComplex(ideal vars R)
1 3 3 1
o2 = R <-- R <-- R <-- R
0 1 2 3
o2 : ChainComplex</pre>
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<div class="waystouse"><h2>Ways to use <tt>koszulComplex</tt> :</h2>
<ul><li>koszulComplex(Ideal)</li>
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