GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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// The usual Header.
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#include "loadgap.h"
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#include "polymake_data.h"
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#include <polymake/Main.h>
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#include <polymake/Matrix.h>
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#include <polymake/Rational.h>
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//#include <polymake/common/lattice_tools.h>
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#include <iostream>
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#include <map>
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#include <utility>
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using std::cerr;
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using std::endl;
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using std::string;
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using std::map;
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using std::pair;
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// Method creates cones by raylists
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Obj REAL_CREATE_CONE_BY_RAYS( Polymake_Data* , Obj );
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Obj REAL_CREATE_CONE_BY_RAYS_UNSAVE( Polymake_Data* , Obj );
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// This method might need some words
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// Inequalities are given by lists of integers.
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// [a,b,..] means the cone contains all points
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// which are of the form ax+by+...>=0.
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// The lists so are raygenerators of the dual cone.
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Obj REAL_CREATE_CONE_BY_INEQUALITIES( Polymake_Data*, Obj );
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Obj REAL_CREATE_CONE_BY_EQUALITIES_AND_INEQUALITIES( Polymake_Data*, Obj, Obj );
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// Method creates the dual cone of a cone
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Obj REAL_CREATE_DUAL_CONE_OF_CONE(  Polymake_Data*, Obj  );
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Obj REAL_GENERATING_RAYS_OF_CONE( Polymake_Data*, Obj );
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Obj REAL_HILBERT_BASIS_OF_CONE( Polymake_Data*, Obj );
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Obj REAL_RAYS_IN_FACETS( Polymake_Data*, Obj );
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Obj REAL_DEFINING_INEQUALITIES_OF_CONE( Polymake_Data*, Obj );
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Obj REAL_LINEALITY_SPACE_OF_CONE( Polymake_Data* , Obj );
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Obj REAL_EQUALITIES_OF_CONE( Polymake_Data*, Obj);
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Obj REAL_INTERSECTION_OF_CONES( Polymake_Data*, Obj, Obj );
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