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<head><title>integralClosure(..., Verbosity => ...) -- display a certain amount of detail about the computation</title>
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<div><h1>integralClosure(..., Verbosity => ...) -- display a certain amount of detail about the computation</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>integralClosure(R, Verbosity => n)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>n</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, The higher the number, the more information is displayed. A value of 0 means: keep quiet.</span></li>
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<div class="single"><h2>Description</h2>
<div><div>When the computation takes a considerable time, this function can be used to decide if it will ever finish, or to get a feel for what is happening during the computation.</div>
<table class="examples"><tr><td><pre>i1 : R = QQ[x,y,z]/ideal(x^8-z^6-y^2*z^4-z^3);</pre>
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<tr><td><pre>i2 : time R' = integralClosure(R, Verbosity => 2)
[jacobian time -1.73472e-17 sec #minors 3]
integral closure nvars 3 numgens 1 is S2 codim 1 codimJ 2
[step 0:
radical (use decompose) .004 seconds
idlizer1: .006998 seconds
idlizer2: .06699 seconds
minpres: .008999 seconds
time .098985 sec #fractions 4]
[step 1:
radical (use decompose) .004 seconds
idlizer1: .007999 seconds
idlizer2: .025996 seconds
minpres: .046993 seconds
time .099985 sec #fractions 4]
[step 2:
radical (use decompose) .003999 seconds
idlizer1: .011998 seconds
idlizer2: .029996 seconds
minpres: .010999 seconds
time .071989 sec #fractions 5]
[step 3:
radical (use decompose) .004 seconds
idlizer1: .008999 seconds
idlizer2: .078988 seconds
minpres: .033994 seconds
time .181972 sec #fractions 5]
[step 4:
radical (use decompose) .004999 seconds
idlizer1: .018997 seconds
idlizer2: .121981 seconds
minpres: .014998 seconds
time .181972 sec #fractions 5]
[step 5:
radical (use decompose) .004 seconds
idlizer1: .011998 seconds
time .023997 sec #fractions 5]
-- used 0.6619 seconds
o2 = R'
o2 : QuotientRing</pre>
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<tr><td><pre>i3 : trim ideal R'
3 2 2 2 4 4
o3 = ideal (w z - x , w x - w , w x - y z - z - z, w x - w z,
4,0 4,0 1,1 1,1 4,0 1,1
------------------------------------------------------------------------
2 2 2 3 2 3 2 3 2 4 2 2 4 2
w w - x y z - x z - x , w + w x y - x*y z - x*y z - 2x*y z
4,0 1,1 4,0 4,0
------------------------------------------------------------------------
3 3 2 6 2 6 2
- x*z - x, w x - w + x y + x z )
4,0 1,1
o3 : Ideal of QQ[w , w , x, y, z]
4,0 1,1</pre>
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<tr><td><pre>i4 : icFractions R
3 2 2 4
x y z + z + z
o4 = {--, -------------, x, y, z}
z x
o4 : List</pre>
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<h2>Further information</h2>
<ul><li><span>Default value: <tt>0</tt></span></li>
<li><span>Function: <span><a href="_integral__Closure.html" title="integral closure of an ideal or a domain">integralClosure</a> -- integral closure of an ideal or a domain</span></span></li>
<li><span>Option name: <span><a href="___Verbosity.html" title="optional argument describing how verbose the output should be">Verbosity</a> -- optional argument describing how verbose the output should be</span></span></li>
</ul>
<div class="single"><h2>Caveat</h2>
<div><div>The exact information displayed may change.</div>
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