#### D.16.2.8 gorensteinVector

`Syntax:`
  `Polymake::gorensteinVector(` polytope p `)`
`Assume:`
  p is Gorenstein, i.e. n*p+v is reflexive for some dilatation n and translation v.
`Type:`
  intvec
`Purpose:`
  returns a vector v such that n*p+v is reflexive for some dilatation v.
`Note:`
  you can check whether p is Gorenstein by Polymake::isGorenstein(p); the dilatation n can be computed via Polymake::gorensteinIndex(p).
`Example:`

        LIB"polymake.lib";
      ==> Welcome to polymake
      ==> Copyright (c) 1997-2012
      ==> Ewgenij Gawrilow, Michael Joswig (TU Darmstadt)
      ==> http://www.polymake.org
        intmat M[4][3]=1,1,0, 1,0,1, 1,0,0, 1,1,1;
        polytope p = polytopeViaPoints(M);
        Polymake::gorensteinVector(p);
      ==> polymake: used package cdd
      ==>   cddlib
      ==>   Implementation of the double description method of Motzkin et al.
      ==>   Copyright by Komei Fukuda.
      ==>   http://www.ifor.math.ethz.ch/~fukuda/cdd_home/cdd.html
      ==>
      ==> 1,1,1
        intmat N[3][3]=1,2,0, 1,0,2, 1,-2,-2;
        polytope q = polytopeViaPoints(N);
        Polymake::gorensteinVector(q);
      ==>    ? gorensteinVector: input polytope not gorenstein
      ==>    ? error occurred in or before ./examples/gorensteinVector.sing line 7:\
          `  Polymake::gorensteinVector(q);`

User manual for Singular version 4-0-3, 2016, generated by texi2html.