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<head><title>mLatticePoints -- Compute the lattice points of a convex hull.</title>
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<div><h1>mLatticePoints -- Compute the lattice points of a convex hull.</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>mLatticePoints(L)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>L</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, of <a href="../../Macaulay2Doc/html/___Vector.html" title="the class of all elements of free modules that are handled by the engine">Vector</a>s.</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></span></li>
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<div class="single"><h2>Description</h2>
<div><p>Returns a list with the lattice points of the convex hull of L.</p>
<p>This uses the Convex functions convHull and hilbertbasis.</p>
<div/>
<table class="examples"><tr><td><pre>i1 : L={vector {3,-1,-1},vector {-1,3,-1},vector {-1,-1,3},vector {-1,-1,-1}};</pre>
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<tr><td><pre>i2 : P=mLatticePoints(L)

o2 = {| -1 |, | -1 |, | -1 |, | 0  |, | -1 |, | -1 |, | 0 |, | -1 |, | 0  |,
      | 3  |  | 2  |  | 2  |  | 2  |  | 1  |  | 1  |  | 1 |  | 1  |  | 1  | 
      | -1 |  | 0  |  | -1 |  | -1 |  | 1  |  | 0  |  | 0 |  | -1 |  | -1 | 
     ------------------------------------------------------------------------
     | 1  |, | -1 |, | -1 |, | 0 |, | -1 |, 0, | 1 |, | -1 |, | 0  |, | 1  |,
     | 1  |  | 0  |  | 0  |  | 0 |  | 0  |     | 0 |  | 0  |  | 0  |  | 0  | 
     | -1 |  | 2  |  | 1  |  | 1 |  | 0  |     | 0 |  | -1 |  | -1 |  | -1 | 
     ------------------------------------------------------------------------
     | 2  |, | -1 |, | -1 |, | 0  |, | -1 |, | 0  |, | 1  |, | -1 |, | 0  |,
     | 0  |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 | 
     | -1 |  | 3  |  | 2  |  | 2  |  | 1  |  | 1  |  | 1  |  | 0  |  | 0  | 
     ------------------------------------------------------------------------
     | 1  |, | 2  |, | -1 |, | 0  |, | 1  |, | 2  |, | 3  |}
     | -1 |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 |
     | 0  |  | 0  |  | -1 |  | -1 |  | -1 |  | -1 |  | -1 |

o2 : List</pre>
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<div class="waystouse"><h2>Ways to use <tt>mLatticePoints</tt> :</h2>
<ul><li>mLatticePoints(List)</li>
</ul>
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