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<head><title>sortSolutions(List) -- sort the list of solutions</title>
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<div><h1>sortSolutions(List) -- sort the list of solutions</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>t = sortSolutions s</tt></div>
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<li><span>Function: <a href="_sort__Solutions_lp__List_rp.html" title="sort the list of solutions">sortSolutions</a></span></li>
<li><div class="single">Inputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, <tt>s</tt>, the list of solutions</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>, <tt>t</tt>, sorted list</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><a href="___Tolerance.html">Tolerance => ...</a>, -- specifies the tolerance of a numerical computation</span></li>
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<div class="single"><h2>Description</h2>
<div>The sorting is done lexicographically regarding each complex n-vector as real 2n-vector. The output format of <a href="_track_lp__List_cm__List_cm__List_rp.html" title="track a user homotopy">track</a> and <a href="_solve__System_lp__List_rp.html" title="solve a square system of polynomial equations">solveSystem</a> is respected.<br/>The parts of coordinates are considered equal if within <a href="___Tolerance.html" title="specifies the tolerance of a numerical computation">Tolerance</a><table class="examples"><tr><td><pre>i1 : R = CC[x,y];</pre>
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<tr><td><pre>i2 : s = solveSystem {x^2+y^2-1, x*y}
o2 = {{{-1, 1.20692e-15-3.00952e-16*ii}}, {{-2.7062e-16+3.05582e-16*ii, 1}},
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{{2.89919e-16-2.8173e-16*ii, -1}}, {{1, -1.23467e-15+2.97482e-16*ii}}}
o2 : List</pre>
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<tr><td><pre>i3 : sortSolutions s
o3 = {{{-1, 1.20692e-15-3.00952e-16*ii}}, {{2.89919e-16-2.8173e-16*ii, -1}},
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{{-2.7062e-16+3.05582e-16*ii, 1}}, {{1, -1.23467e-15+2.97482e-16*ii}}}
o3 : List</pre>
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