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<head><title>getSolution(ZZ) -- get various attributes of the specified solution</title>
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<div><h1>getSolution(ZZ) -- get various attributes of the specified solution</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>s = getSolution i, s = getSolution(i,SolutionAttributes=>...)</tt></div>
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<li><span>Function: <a href="_get__Solution_lp__Z__Z_rp.html" title="get various attributes of the specified solution">getSolution</a></span></li>
<li><div class="single">Inputs:<ul><li><span><span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, i, the number of the solution</span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>s</tt>, (an) attributes of the solution</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="_get__Solution_lp__Z__Z_rp.html">SolutionAttributes => ...</a>, -- get various attributes of the specified solution</span></li>
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<div class="single"><h2>Description</h2>
<div>Returns attribute(s) of the <tt>i</tt>-th solution specified in the option<a href="_get__Solution_lp__Z__Z_rp.html" title="get various attributes of the specified solution">SolutionAttributes</a>, which could be either a sequence or a single attribute.<br/>SolutionAttributes include:<ul><li>Coordinates -- the list of coordinates</li>
<li>SolutionStatus -- REGULAR, SINGULAR, FAILED, etc.</li>
<li>NumberOfSteps -- number of steps taken on the corresponding homotopy path</li>
<li>LastT -- the last value of the continuation parameter</li>
<li>RCondintion-- the reverse condition number at the last step of Newton's method</li>
</ul>
<table class="examples"><tr><td><pre>i1 : R = CC[x,y];</pre>
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<tr><td><pre>i2 : S = {x^2-1,y^2-1};</pre>
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<tr><td><pre>i3 : T = {x^2+y^2-1, x*y};</pre>
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<tr><td><pre>i4 : track(S,T,{(1,1),(1,-1)})
o4 = {{{1, 1.17962e-15}}, {{-3.8337e-16, -1}}}
o4 : List</pre>
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<tr><td><pre>i5 : getSolution 0
o5 = ({1, 1.17962e-15}, REGULAR, 1, .5, 11)
o5 : Sequence</pre>
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<tr><td><pre>i6 : getSolution(0, SolutionAttributes=>LastT)
o6 = 1
o6 : RR (of precision 53)</pre>
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<tr><td><pre>i7 : getSolution(1, SolutionAttributes=>(Coordinates, SolutionStatus, RCondition))
o7 = ({-3.8337e-16, -1}, REGULAR, .5)
o7 : Sequence</pre>
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<div class="single"><h2>Caveat</h2>
<div>Requires a preceding run of <a href="_track_lp__List_cm__List_cm__List_rp.html" title="track a user homotopy">track</a> or <a href="_solve__System_lp__List_rp.html" title="solve a square system of polynomial equations">solveSystem</a> with the (default) option <tt>Software=>M2engine</tt></div>
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