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<head><title>interiorVector -- computes a vector in the relative interior of a Cone</title>
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<div><h1>interiorVector -- computes a vector in the relative interior of a Cone</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> p = interiorVector C</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>C</tt>, <span>a <a href="___Cone.html">convex rational cone</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>p</tt>, <span>a <a href="../../Macaulay2Doc/html/___Matrix.html">matrix</a></span>,  over <a href="../../Macaulay2Doc/html/___Q__Q.html" title="the class of all rational numbers">QQ</a> with only one column representing a vector</span></li>
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<div class="single"><h2>Description</h2>
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<tt>interiorVector</tt> takes the rays of the <a href="___Cone.html" title="the class of all rational convex polyhedral cones">Cone</a>, computes the sum and 
 divides by the gcd to get a primitive vector.<table class="examples"><tr><td><pre>i1 : P = cyclicPolytope(3,4)

o1 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of polyhedron => 3
      number of facets => 4
      number of rays => 0
      number of vertices => 4

o1 : Polyhedron</pre>
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<tr><td><pre>i2 : C = posHull P

o2 = {ambient dimension => 3           }
      dimension of lineality space => 0
      dimension of the cone => 3
      number of facets => 3
      number of rays => 3

o2 : Cone</pre>
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<tr><td><pre>i3 : interiorVector C

o3 = | 3  |
     | 6  |
     | 14 |

              3        1
o3 : Matrix QQ  &lt;--- QQ</pre>
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<div class="waystouse"><h2>Ways to use <tt>interiorVector</tt> :</h2>
<ul><li>interiorVector(Cone)</li>
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