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<head><title>complete(ChainComplex) -- complete the internal parts</title>
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<div><h1>complete(ChainComplex) -- complete the internal parts</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><span>Function: <a href="_complete.html" title="">complete</a></span></li>
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<div class="single"><h2>Description</h2>
<div><tt>complete C</tt> -- fills in the modules of a chain complex obtained as a resolution with information from the engine.<p/>
For the sake of efficiency, when a chain complex arises as a resolution of a module, the free modules are not filled in until they are needed. This routine can be used to fill them all in, and is called internally when a chain complex is printed. Normally users will not need this function, unless they use <a href="__sh.html" title="length, or access to elements">#</a> to obtain the modules of the chain complex, or use <a href="_keys.html" title="keys used in a hash table">keys</a> to see which spots are occupied by modules.<table class="examples"><tr><td><pre>i1 : R = ZZ/101[a..d];</pre>
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<tr><td><pre>i2 : C = resolution cokernel vars R;</pre>
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<tr><td><pre>i3 : keys C
o3 = {cache, Resolution, dd, ring}
o3 : List</pre>
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<tr><td><pre>i4 : complete C;</pre>
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<tr><td><pre>i5 : keys C
o5 = {0, complete, cache, 1, 2, 3, 4, dd, 5, Resolution, ring}
o5 : List</pre>
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