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<!DOCTYPE html> <html lang="en"> <head> <title>getNumInvs -- returns the numerical invariants computed</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="an interface to use Normaliz in Macaulay 2" href="index.html">Normaliz</a> :: <a title="returns the numerical invariants computed" href="_get__Num__Invs.html">getNumInvs</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="_grading.html">next</a> | <a href="_generators_lp__Monomial__Subalgebra_rp.html">previous</a> | <a href="_grading.html">forward</a> | <a href="_generators_lp__Monomial__Subalgebra_rp.html">backward</a> | up | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>getNumInvs -- returns the numerical invariants computed</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">getNumInvs()</code></dd> </dl> </li> <li>Outputs: <ul> <li><span><span>a <a title="the class of all hash tables" href="../../Macaulay2Doc/html/___Hash__Table.html">hash table</a></span>, the numerical invariants</span></li> </ul> </li> </ul> <div> <h2>Description</h2> <p></p> This function returns a hashtable containing the invariants printed to the file with suffix <span class="tt">inv</span>, if the files are kept, i.e., if a filename is specified (see <a href="___Keeping_spresults_spof_spthe_spcomputation_spby_sp__Normaliz.html">Keeping results of the computation by Normaliz</a>). The key of an entry is a <a title="the class of all strings" href="../../Macaulay2Doc/html/___String.html">String</a> describing the invariant, the value is the invariant, namely an <a title="the class of all integers" href="../../Macaulay2Doc/html/___Z__Z.html">ZZ</a> for rank, index, multiplicity, a <a title="the class of all sequences -- (...)" href="../../Macaulay2Doc/html/___Sequence.html">Sequence</a> for the grading, the Hilbert series and the Hilbert quasi-polynomial and a <a title="the class of boolean values" href="../../Macaulay2Doc/html/___Boolean.html">Boolean</a> for graded and primary (in the case of a Rees algebra). <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : R=ZZ/37[x,y,t];</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : I=ideal(x^3,x^2*y,y^3); o2 : Ideal of R</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : nmzFilename="example";</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i4 : setNmzOption("hilb",true);</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i5 : intclMonIdeal I;</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i6 : invs=getNumInvs() o6 = HashTable{"" => (1, 1, 1, 1) } "degree 1 elements" => 7 "dim max subspace" => 0 "embedding dim" => 4 "external index" => 1 "graded" => true "grading denom" => 1 "grading" => (1, 1, 1, -2) "hilbert basis elements" => 7 "hilbert quasipolynomial denom" => 6 "hilbert series denom" => (1, 1, 1, 1) "hilbert series num" => (1, 3) "inhomogeneous" => false "integrally closed" => false "internal index" => 1 "multiplicity denom" => 1 "multiplicity" => 4 "number extreme rays" => 5 "number support hyperplanes" => 5 "primary" => false "rank" => 4 "size triangulation" => 3 "sum dets" => 4 o6 : HashTable</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i7 : hvector=invs#"hilbert series num" o7 = (1, 3) o7 : Sequence</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i8 : invs#"hilbert series denom" o8 = (1, 1, 1, 1) o8 : Sequence</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i9 : rmNmzFiles();</code></pre> </td> </tr> </table> </div> <div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="returns the numerical invariants computed" href="_get__Num__Invs.html">getNumInvs</a> is <span>a <a title="the class of all function closures" href="../../Macaulay2Doc/html/___Function__Closure.html">function closure</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Normaliz.m2:1380:0</span>.</p> </div> </div> </div> </body> </html>