diff --git a/tst/descent.tst b/tst/descent.tst
index e504919..dc690e5 100644
--- a/tst/descent.tst
+++ b/tst/descent.tst
@@ -137,31 +137,36 @@ gap> Display(NmzSublattice(cone));
   [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ],
       [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], 
       [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], 1 ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-EmbeddingDim = 7
-Grading = [ 1, 1, 1, 1, 1, 1, -2 ]
-GradingDenom = 1
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = false
-IsInhomogeneous = false
-IsPointed = true
-IsTriangulationNested = false
-IsTriangulationPartial = true
-MaximalSubspace = [  ]
-Multiplicity = 72
-Rank = 7
-TriangulationDetSum = 2
-TriangulationSize = 1
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "EmbeddingDim");
+7
+gap> NmzConeProperty(cone, "Grading");
+[ 1, 1, 1, 1, 1, 1, -2 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+false
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+true
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+true
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[  ]
+gap> NmzConeProperty(cone, "Multiplicity");
+72
+gap> NmzConeProperty(cone, "Rank");
+7
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+2
+gap> NmzConeProperty(cone, "TriangulationSize");
+1
 
 #
 gap> NmzVolume(cone);
diff --git a/tst/dual.tst b/tst/dual.tst
index 353800a..4ed56ac 100644
--- a/tst/dual.tst
+++ b/tst/dual.tst
@@ -496,38 +496,46 @@ gap> Display(NmzSublattice(cone));
   [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ],
       [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0 ], 
       [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ], 1 ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-ClassGroup = [ 17 ]
-EhrhartQuasiPolynomial = [ [ 60, 194, 284, 245, 130, 41, 6 ], 60 ]
-EmbeddingDim = 7
-Grading = [ 1, 1, 1, 1, 1, 1, -2 ]
-GradingDenom = 1
-HilbertQuasiPolynomial = 
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "ClassGroup");
+[ 17 ]
+gap> NmzConeProperty(cone, "EhrhartQuasiPolynomial");
+[ [ 60, 194, 284, 245, 130, 41, 6 ], 60 ]
+gap> NmzConeProperty(cone, "EmbeddingDim");
+7
+gap> NmzConeProperty(cone, "Grading");
+[ 1, 1, 1, 1, 1, 1, -2 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
 [ 1/10*t^6+41/60*t^5+13/6*t^4+49/12*t^3+71/15*t^2+97/30*t+1 ]
-HilbertQuasiPolynomial = 
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
 [ 1/10*t^6+41/60*t^5+13/6*t^4+49/12*t^3+71/15*t^2+97/30*t+1 ]
-HilbertSeries = [ 6*t^4+25*t^3+31*t^2+9*t+1, [ [ 1, 7 ] ] ]
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = false
-IsInhomogeneous = false
-IsPointed = true
-IsTriangulationNested = false
-IsTriangulationPartial = false
-MaximalSubspace = [  ]
-Multiplicity = 72
-Rank = 7
-TriangulationDetSum = 72
-TriangulationSize = 69
+gap> NmzConeProperty(cone, "HilbertSeries");
+[ 6*t^4+25*t^3+31*t^2+9*t+1, [ [ 1, 7 ] ] ]
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+false
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+true
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+false
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[  ]
+gap> NmzConeProperty(cone, "Multiplicity");
+72
+gap> NmzConeProperty(cone, "Rank");
+7
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+72
+gap> NmzConeProperty(cone, "TriangulationSize");
+69
 
 #
 gap> STOP_TEST("dual.tst", 0);
diff --git a/tst/project.tst b/tst/project.tst
index 28c0574..c443b03 100644
--- a/tst/project.tst
+++ b/tst/project.tst
@@ -12,17 +12,6 @@ gap> proj:=NmzProjectCone(cone);
 # check what was computed for the input cone
 gap> tmp := NmzKnownConeProperties(cone);;
 gap> RemoveSet(tmp, "NumberLatticePoints");
-gap> Perform(tmp, Display);
-EmbeddingDim
-ExtremeRays
-Generators
-IsInhomogeneous
-IsPointed
-MaximalSubspace
-ProjectCone
-Rank
-Sublattice
-SupportHyperplanes
 gap> Display(NmzTriangulation(cone));
 [ [ rec(
           Excluded := [  ],
@@ -41,33 +30,38 @@ gap> Display(NmzDeg1Elements(cone));
 gap> Display(NmzSublattice(cone));
 [ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
   [ [ 1, 0 ], [ 0, 1 ], [ 0, 0 ], [ 0, 0 ] ], 1 ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-EmbeddingDim = 4
-Grading = [ 0, 1, 0, 0 ]
-GradingDenom = 1
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = true
-IsInhomogeneous = false
-IsPointed = false
-IsTriangulationNested = false
-IsTriangulationPartial = true
-MaximalSubspace = 
-[ [  1,  0,  0,  0 ] ]
-Multiplicity = 1
-ProjectCone = <object>
-Rank = 2
-TriangulationDetSum = 0
-TriangulationSize = 0
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "EmbeddingDim");
+4
+gap> NmzConeProperty(cone, "Grading");
+[ 0, 1, 0, 0 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+true
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+false
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+true
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[ [ 1, 0, 0, 0 ] ]
+gap> NmzConeProperty(cone, "Multiplicity");
+1
+gap> NmzConeProperty(cone, "ProjectCone");
+<a Normaliz cone>
+gap> NmzConeProperty(cone, "Rank");
+2
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+0
+gap> NmzConeProperty(cone, "TriangulationSize");
+0
 
 # check what was computed for the projected cone
 gap> Perform(NmzKnownConeProperties(proj), Display);
@@ -102,35 +96,36 @@ gap> Display(NmzDeg1Elements(proj));
 [ [  0,  1,  0 ] ]
 gap> Display(NmzSublattice(proj));
 [ [ [ 1, 0, 0 ], [ 0, 1, 0 ] ], [ [ 1, 0 ], [ 0, 1 ], [ 0, 0 ] ], 1 ]
-gap> _NmzPrintSomeConeProperties(proj, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-EmbeddingDim = 3
-Grading = [ 0, 1, 0 ]
-GradingDenom = 1
-InternalIndex = 1
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = true
-IsInhomogeneous = false
-IsIntegrallyClosed = true
-IsPointed = false
-IsTriangulationNested = false
-IsTriangulationPartial = true
-MaximalSubspace = 
-[ [  1,  0,  0 ] ]
-Multiplicity = 1
-Rank = 2
-TriangulationDetSum = 0
-TriangulationSize = 0
-UnitGroupIndex = 1
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "EmbeddingDim");
+4
+gap> NmzConeProperty(cone, "Grading");
+[ 0, 1, 0, 0 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+true
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+false
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+true
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[ [ 1, 0, 0, 0 ] ]
+gap> NmzConeProperty(cone, "Multiplicity");
+1
+gap> NmzConeProperty(cone, "Rank");
+2
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+0
+gap> NmzConeProperty(cone, "TriangulationSize");
+0
 
 #
 gap> STOP_TEST("project.tst", 0);
diff --git a/tst/rational.tst b/tst/rational.tst
index 5133dcb..ae402bb 100644
--- a/tst/rational.tst
+++ b/tst/rational.tst
@@ -73,51 +73,61 @@ gap> Display(NmzOriginalMonoidGenerators(cone));
 [ [   1,   1,   2 ],
   [  -1,  -1,   3 ],
   [   1,  -2,   4 ] ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-ClassGroup = [ 0, 3, 15 ]
-EhrhartQuasiPolynomial = [ [ 48, 28, 15 ], [ 11, 22, 15 ], [ -20, 28, 15 ], 
-  [ 39, 22, 15 ], [ 32, 28, 15 ], [ -5, 22, 15 ], [ 12, 28, 15 ], 
-  [ 23, 22, 15 ], [ 16, 28, 15 ], [ 27, 22, 15 ], [ -4, 28, 15 ], 
-  [ 7, 22, 15 ], 48 ]
-EmbeddingDim = 3
-Grading = [ 0, 0, 1 ]
-GradingDenom = 1
-HilbertQuasiPolynomial = [ 5/16*t^2+7/12*t+1, 5/16*t^2+11/24*t+11/48, 
-  5/16*t^2+7/12*t-5/12, 5/16*t^2+11/24*t+13/16, 5/16*t^2+7/12*t+2/3, 
-  5/16*t^2+11/24*t-5/48, 5/16*t^2+7/12*t+1/4, 5/16*t^2+11/24*t+23/48, 
-  5/16*t^2+7/12*t+1/3, 5/16*t^2+11/24*t+9/16, 5/16*t^2+7/12*t-1/12, 
-  5/16*t^2+11/24*t+7/48 ]
-HilbertQuasiPolynomial = [ 5/16*t^2+7/12*t+1, 5/16*t^2+11/24*t+11/48, 
-  5/16*t^2+7/12*t-5/12, 5/16*t^2+11/24*t+13/16, 5/16*t^2+7/12*t+2/3, 
-  5/16*t^2+11/24*t-5/48, 5/16*t^2+7/12*t+1/4, 5/16*t^2+11/24*t+23/48, 
-  5/16*t^2+7/12*t+1/3, 5/16*t^2+11/24*t+9/16, 5/16*t^2+7/12*t-1/12, 
-  5/16*t^2+11/24*t+7/48 ]
-HilbertSeries = [ 2*t^12+t^11+t^10+t^9+t^8+2*t^7+2*t^6-t^5+2*t^4+3*t^3+1, 
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "ClassGroup");
+[ 0, 3, 15 ]
+gap> NmzConeProperty(cone, "EhrhartQuasiPolynomial");
+[ [ 48, 28, 15 ], [ 11, 22, 15 ], [ -20, 28, 15 ], [ 39, 22, 15 ], 
+  [ 32, 28, 15 ], [ -5, 22, 15 ], [ 12, 28, 15 ], [ 23, 22, 15 ], 
+  [ 16, 28, 15 ], [ 27, 22, 15 ], [ -4, 28, 15 ], [ 7, 22, 15 ], 48 ]
+gap> NmzConeProperty(cone, "EmbeddingDim");
+3
+gap> NmzConeProperty(cone, "Grading");
+[ 0, 0, 1 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
+[ 5/16*t^2+7/12*t+1, 5/16*t^2+11/24*t+11/48, 5/16*t^2+7/12*t-5/12, 
+  5/16*t^2+11/24*t+13/16, 5/16*t^2+7/12*t+2/3, 5/16*t^2+11/24*t-5/48, 
+  5/16*t^2+7/12*t+1/4, 5/16*t^2+11/24*t+23/48, 5/16*t^2+7/12*t+1/3, 
+  5/16*t^2+11/24*t+9/16, 5/16*t^2+7/12*t-1/12, 5/16*t^2+11/24*t+7/48 ]
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
+[ 5/16*t^2+7/12*t+1, 5/16*t^2+11/24*t+11/48, 5/16*t^2+7/12*t-5/12, 
+  5/16*t^2+11/24*t+13/16, 5/16*t^2+7/12*t+2/3, 5/16*t^2+11/24*t-5/48, 
+  5/16*t^2+7/12*t+1/4, 5/16*t^2+11/24*t+23/48, 5/16*t^2+7/12*t+1/3, 
+  5/16*t^2+11/24*t+9/16, 5/16*t^2+7/12*t-1/12, 5/16*t^2+11/24*t+7/48 ]
+gap> NmzConeProperty(cone, "HilbertSeries");
+[ 2*t^12+t^11+t^10+t^9+t^8+2*t^7+2*t^6-t^5+2*t^4+3*t^3+1, 
   [ [ 1, 1 ], [ 2, 1 ], [ 12, 1 ] ] ]
-InternalIndex = 15
-IsDeg1ExtremeRays = false
-IsDeg1HilbertBasis = false
-IsInhomogeneous = false
-IsIntegrallyClosed = false
-IsPointed = true
-IsTriangulationNested = false
-IsTriangulationPartial = false
-MaximalSubspace = [  ]
-Multiplicity = 5/8
-Rank = 3
-TriangulationDetSum = 15
-TriangulationSize = 1
-UnitGroupIndex = 1
+gap> NmzConeProperty(cone, "InternalIndex");
+15
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+false
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+false
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsIntegrallyClosed");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+true
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+false
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[  ]
+gap> NmzConeProperty(cone, "Multiplicity");
+5/8
+gap> NmzConeProperty(cone, "Rank");
+3
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+15
+gap> NmzConeProperty(cone, "TriangulationSize");
+1
+gap> NmzConeProperty(cone, "UnitGroupIndex");
+1
 gap> Display(NmzConeDecomposition(cone));
 [ [ rec(
           Excluded := [ false, false, false ],
diff --git a/tst/rees.tst b/tst/rees.tst
index 216811e..e29b7c9 100644
--- a/tst/rees.tst
+++ b/tst/rees.tst
@@ -503,42 +503,54 @@ gap> Display(NmzOriginalMonoidGenerators(cone));
   [  0,  1,  0,  0,  1,  1,  1 ],
   [  0,  0,  1,  1,  1,  0,  1 ],
   [  0,  0,  1,  1,  0,  1,  1 ] ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-ClassGroup = [ 17 ]
-EhrhartQuasiPolynomial = [ [ 60, 194, 284, 245, 130, 41, 6 ], 60 ]
-EmbeddingDim = 7
-Grading = [ 1, 1, 1, 1, 1, 1, -2 ]
-GradingDenom = 1
-HilbertQuasiPolynomial = 
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "ClassGroup");
+[ 17 ]
+gap> NmzConeProperty(cone, "EhrhartQuasiPolynomial");
+[ [ 60, 194, 284, 245, 130, 41, 6 ], 60 ]
+gap> NmzConeProperty(cone, "EmbeddingDim");
+7
+gap> NmzConeProperty(cone, "Grading");
+[ 1, 1, 1, 1, 1, 1, -2 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
 [ 1/10*t^6+41/60*t^5+13/6*t^4+49/12*t^3+71/15*t^2+97/30*t+1 ]
-HilbertQuasiPolynomial = 
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
 [ 1/10*t^6+41/60*t^5+13/6*t^4+49/12*t^3+71/15*t^2+97/30*t+1 ]
-HilbertSeries = [ 6*t^4+25*t^3+31*t^2+9*t+1, [ [ 1, 7 ] ] ]
-InternalIndex = 1
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = false
-IsInhomogeneous = false
-IsIntegrallyClosed = false
-IsPointed = true
-IsReesPrimary = false
-IsTriangulationNested = false
-IsTriangulationPartial = false
-MaximalSubspace = [  ]
-Multiplicity = 72
-Rank = 7
-TriangulationDetSum = 72
-TriangulationSize = 69
-UnitGroupIndex = 1
+gap> NmzConeProperty(cone, "HilbertSeries");
+[ 6*t^4+25*t^3+31*t^2+9*t+1, [ [ 1, 7 ] ] ]
+gap> NmzConeProperty(cone, "InternalIndex");
+1
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+false
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsIntegrallyClosed");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+true
+gap> NmzConeProperty(cone, "IsReesPrimary");
+false
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+false
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[  ]
+gap> NmzConeProperty(cone, "Multiplicity");
+72
+gap> NmzConeProperty(cone, "Rank");
+7
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+72
+gap> NmzConeProperty(cone, "TriangulationSize");
+69
+gap> NmzConeProperty(cone, "UnitGroupIndex");
+1
 
 #
 gap> STOP_TEST("rees.tst", 0);
diff --git a/tst/rp2poly.tst b/tst/rp2poly.tst
index 65c5bef..5e147e0 100644
--- a/tst/rp2poly.tst
+++ b/tst/rp2poly.tst
@@ -215,39 +215,52 @@ gap> Display(NmzOriginalMonoidGenerators(cone));
   [  0,  1,  0,  0,  1,  1 ],
   [  0,  0,  1,  1,  1,  0 ],
   [  0,  0,  1,  1,  0,  1 ] ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-ClassGroup = [ 16 ]
-EhrhartQuasiPolynomial = [ [ 120, 314, 375, 265, 105, 21 ], 120 ]
-EmbeddingDim = 6
-Grading = [ 1/3, 1/3, 1/3, 1/3, 1/3, 1/3 ]
-GradingDenom = 3
-HilbertQuasiPolynomial = [ 7/40*t^5+7/8*t^4+53/24*t^3+25/8*t^2+157/60*t+1 ]
-HilbertQuasiPolynomial = [ 7/40*t^5+7/8*t^4+53/24*t^3+25/8*t^2+157/60*t+1 ]
-HilbertSeries = [ t^4+4*t^3+11*t^2+4*t+1, [ [ 1, 6 ] ] ]
-InternalIndex = 1
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = false
-IsInhomogeneous = false
-IsIntegrallyClosed = false
-IsPointed = true
-IsTriangulationNested = false
-IsTriangulationPartial = false
-MaximalSubspace = [  ]
-Multiplicity = 21
-Rank = 6
-TriangulationDetSum = 21
-TriangulationSize = 18
-UnitGroupIndex = 1
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "ClassGroup");
+[ 16 ]
+gap> NmzConeProperty(cone, "EhrhartQuasiPolynomial");
+[ [ 120, 314, 375, 265, 105, 21 ], 120 ]
+gap> NmzConeProperty(cone, "EmbeddingDim");
+6
+gap> NmzConeProperty(cone, "Grading");
+[ 1/3, 1/3, 1/3, 1/3, 1/3, 1/3 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+3
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
+[ 7/40*t^5+7/8*t^4+53/24*t^3+25/8*t^2+157/60*t+1 ]
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
+[ 7/40*t^5+7/8*t^4+53/24*t^3+25/8*t^2+157/60*t+1 ]
+gap> NmzConeProperty(cone, "HilbertSeries");
+[ t^4+4*t^3+11*t^2+4*t+1, [ [ 1, 6 ] ] ]
+gap> NmzConeProperty(cone, "InternalIndex");
+1
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+false
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsIntegrallyClosed");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+true
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+false
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[  ]
+gap> NmzConeProperty(cone, "Multiplicity");
+21
+gap> NmzConeProperty(cone, "Rank");
+6
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+21
+gap> NmzConeProperty(cone, "TriangulationSize");
+18
+gap> NmzConeProperty(cone, "UnitGroupIndex");
+1
 gap> Display(NmzConeDecomposition(cone));
 [ [ rec(
           Excluded := [ false, false, false, false, false, false ],
diff --git a/tst/rproj2.tst b/tst/rproj2.tst
index 37efdbc..601fe6e 100644
--- a/tst/rproj2.tst
+++ b/tst/rproj2.tst
@@ -508,41 +508,52 @@ gap> Display(NmzOriginalMonoidGenerators(cone));
   [  0,  1,  0,  0,  1,  1,  1 ],
   [  0,  0,  1,  1,  1,  0,  1 ],
   [  0,  0,  1,  1,  0,  1,  1 ] ]
-gap> _NmzPrintSomeConeProperties(cone, [
-> "Generators",
-> "ExtremeRays",
-> "SupportHyperplanes",
-> "HilbertBasis",
-> "Deg1Elements",
-> "Sublattice",
-> "NumberLatticePoints",
-> "OriginalMonoidGenerators",
-> ]);
-BasicTriangulation = fail
-ClassGroup = [ 17 ]
-EhrhartQuasiPolynomial = [ [ 60, 194, 284, 245, 130, 41, 6 ], 60 ]
-EmbeddingDim = 7
-Grading = [ 1, 1, 1, 1, 1, 1, -2 ]
-GradingDenom = 1
-HilbertQuasiPolynomial = 
+gap> NmzConeProperty(cone, "BasicTriangulation");
+fail
+gap> NmzConeProperty(cone, "ClassGroup");
+[ 17 ]
+gap> NmzConeProperty(cone, "EhrhartQuasiPolynomial");
+[ [ 60, 194, 284, 245, 130, 41, 6 ], 60 ]
+gap> NmzConeProperty(cone, "EmbeddingDim");
+7
+gap> NmzConeProperty(cone, "Grading");
+[ 1, 1, 1, 1, 1, 1, -2 ]
+gap> NmzConeProperty(cone, "GradingDenom");
+1
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
 [ 1/10*t^6+41/60*t^5+13/6*t^4+49/12*t^3+71/15*t^2+97/30*t+1 ]
-HilbertQuasiPolynomial = 
+gap> NmzConeProperty(cone, "HilbertQuasiPolynomial");
 [ 1/10*t^6+41/60*t^5+13/6*t^4+49/12*t^3+71/15*t^2+97/30*t+1 ]
-HilbertSeries = [ 6*t^4+25*t^3+31*t^2+9*t+1, [ [ 1, 7 ] ] ]
-InternalIndex = 1
-IsDeg1ExtremeRays = true
-IsDeg1HilbertBasis = false
-IsInhomogeneous = false
-IsIntegrallyClosed = false
-IsPointed = true
-IsTriangulationNested = false
-IsTriangulationPartial = false
-MaximalSubspace = [  ]
-Multiplicity = 72
-Rank = 7
-TriangulationDetSum = 72
-TriangulationSize = 69
-UnitGroupIndex = 1
+gap> NmzConeProperty(cone, "HilbertSeries");
+[ 6*t^4+25*t^3+31*t^2+9*t+1, [ [ 1, 7 ] ] ]
+gap> NmzConeProperty(cone, "InternalIndex");
+1
+gap> NmzConeProperty(cone, "IsDeg1ExtremeRays");
+true
+gap> NmzConeProperty(cone, "IsDeg1HilbertBasis");
+false
+gap> NmzConeProperty(cone, "IsInhomogeneous");
+false
+gap> NmzConeProperty(cone, "IsIntegrallyClosed");
+false
+gap> NmzConeProperty(cone, "IsPointed");
+true
+gap> NmzConeProperty(cone, "IsTriangulationNested");
+false
+gap> NmzConeProperty(cone, "IsTriangulationPartial");
+false
+gap> NmzConeProperty(cone, "MaximalSubspace");
+[  ]
+gap> NmzConeProperty(cone, "Multiplicity");
+72
+gap> NmzConeProperty(cone, "Rank");
+7
+gap> NmzConeProperty(cone, "TriangulationDetSum");
+72
+gap> NmzConeProperty(cone, "TriangulationSize");
+69
+gap> NmzConeProperty(cone, "UnitGroupIndex");
+1
 
 #
 gap> STOP_TEST("rproj2.tst", 0);