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<head><title>totalDegreeStartSystem(List) -- construct a start system for the total degree homotopy</title>
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<div><h1>totalDegreeStartSystem(List) -- construct a start system for the total degree homotopy</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,solsS) = totalDegreeStartSystem T</tt></div>
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<li><span>Function: <a href="_total__Degree__Start__System_lp__List_rp.html" title="construct a start system for the total degree homotopy">totalDegreeStartSystem</a></span></li>
<li><div class="single">Inputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, T, polynomials of the target system</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Sequence.html">sequence</a></span>, <tt>(S,solsS)</tt>, where <tt>S</tt> is the list of polynomials in the start system and <tt>solsS</tt> the list of start solutions</span></li>
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<div class="single"><h2>Description</h2>
<div>Given a square target system, constructs a start system for a total degree homotopy together with the total degree many start solutions.<table class="examples"><tr><td><pre>i1 : R = CC[x,y];</pre>
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<tr><td><pre>i2 : T = {x^2+y^2-1, x*y};</pre>
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<tr><td><pre>i3 : totalDegreeStartSystem T
2 2
o3 = ({x - 1, y - 1}, {(-1, -1), (-1, 1), (1, -1), (1, 1)})
o3 : Sequence</pre>
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