  
  
                              [1X NormalizInterface [101X
  
  
                           [1X [5XGAP[105X wrapper for Normaliz [101X
  
  
                                     1.3.5
  
  
                                5 November 2022
  
  
                               Sebastian Gutsche
  
                                    Max Horn
  
                                 Christof Söger
  
  
  
  Sebastian Gutsche
      Email:    [7Xmailto:gutsche@mathematik.uni-siegen.de[107X
  Max Horn
      Email:    [7Xmailto:horn@mathematik.uni-kl.de[107X
      Homepage: [7Xhttps://www.quendi.de/math[107X
      Address:  [33X[0;14YFachbereich Mathematik[133X
                [33X[0;14YTU Kaiserslautern[133X
                [33X[0;14YGottlieb-Daimler-Straße 48[133X
                [33X[0;14Y67663 Kaiserslautern[133X
                [33X[0;14YGermany[133X
  
  
  Christof Söger
      Email:    [7Xmailto:csoeger@uos.de[107X
  
  -------------------------------------------------------
  
  
  [1XContents (NormalizInterface)[101X
  
  1 [33X[0;0YIntroduction[133X
    1.1 [33X[0;0YWhat is the purpose of the this package?[133X
  2 [33X[0;0YFunctions[133X
    2.1 [33X[0;0YCreate a NmzCone[133X
      2.1-1 NmzCone
    2.2 [33X[0;0YUse a NmzCone[133X
      2.2-1 NmzHasConeProperty
      2.2-2 NmzKnownConeProperties
      2.2-3 NmzSetVerboseDefault
      2.2-4 NmzSetVerbose
      2.2-5 NmzCompute
      2.2-6 NmzConeProperty
      2.2-7 NmzPrintConeProperties
    2.3 [33X[0;0YCone properties[133X
      2.3-1 NmzAffineDim
      2.3-2 NmzAllGeneratorsTriangulation
      2.3-3 NmzAmbientAutomorphisms
      2.3-4 NmzApproximate
      2.3-5 NmzAutomorphisms
      2.3-6 NmzAxesScaling
      2.3-7 NmzBasicStanleyDec
      2.3-8 NmzBasicTriangulation
      2.3-9 NmzBigInt
      2.3-10 NmzBottomDecomposition
      2.3-11 NmzClassGroup
      2.3-12 NmzCombinatorialAutomorphisms
      2.3-13 NmzConeDecomposition
      2.3-14 NmzCongruences
      2.3-15 NmzCoveringFace
      2.3-16 NmzDefaultMode
      2.3-17 NmzDeg1Elements
      2.3-18 NmzDehomogenization
      2.3-19 NmzDescent
      2.3-20 NmzDistributedComp
      2.3-21 NmzDualFVector
      2.3-22 NmzDualFaceLattice
      2.3-23 NmzDualIncidence
      2.3-24 NmzDualMode
      2.3-25 NmzDynamic
      2.3-26 NmzEhrhartQuasiPolynomial
      2.3-27 NmzEhrhartSeries
      2.3-28 NmzEmbeddingDimension
      2.3-29 NmzEquations
      2.3-30 NmzEuclideanAutomorphisms
      2.3-31 NmzEuclideanIntegral
      2.3-32 NmzEuclideanVolume
      2.3-33 NmzExcludedFaces
      2.3-34 NmzExploitAutomsVectors
      2.3-35 NmzExploitIsosMult
      2.3-36 NmzExternalIndex
      2.3-37 NmzExtremeRays
      2.3-38 NmzExtremeRaysFloat
      2.3-39 NmzFVector
      2.3-40 NmzFaceLattice
      2.3-41 NmzFixedPrecision
      2.3-42 NmzFullConeDynamic
      2.3-43 NmzGeneratorOfInterior
      2.3-44 NmzGenerators
      2.3-45 NmzGrading
      2.3-46 NmzGradingDenom
      2.3-47 NmzGradingIsPositive
      2.3-48 NmzHSOP
      2.3-49 NmzHilbertBasis
      2.3-50 NmzHilbertQuasiPolynomial
      2.3-51 NmzHilbertSeries
      2.3-52 NmzIncidence
      2.3-53 NmzInclusionExclusionData
      2.3-54 NmzInputAutomorphisms
      2.3-55 NmzIntegerHull
      2.3-56 NmzIntegral
      2.3-57 NmzInternalIndex
      2.3-58 NmzIsDeg1ExtremeRays
      2.3-59 NmzIsDeg1HilbertBasis
      2.3-60 NmzIsEmptySemiOpen
      2.3-61 NmzIsGorenstein
      2.3-62 NmzIsInhomogeneous
      2.3-63 NmzIsIntegrallyClosed
      2.3-64 NmzIsPointed
      2.3-65 NmzIsReesPrimary
      2.3-66 NmzIsTriangulationNested
      2.3-67 NmzIsTriangulationPartial
      2.3-68 NmzKeepOrder
      2.3-69 NmzLatticePointTriangulation
      2.3-70 NmzLatticePoints
      2.3-71 NmzMaximalSubspace
      2.3-72 NmzModuleGenerators
      2.3-73 NmzModuleGeneratorsOverOriginalMonoid
      2.3-74 NmzModuleRank
      2.3-75 NmzMultiplicity
      2.3-76 NmzNoBottomDec
      2.3-77 NmzNoDescent
      2.3-78 NmzNoGradingDenom
      2.3-79 NmzNoLLL
      2.3-80 NmzNoNestedTri
      2.3-81 NmzNoPeriodBound
      2.3-82 NmzNoProjection
      2.3-83 NmzNoRelax
      2.3-84 NmzNoSignedDec
      2.3-85 NmzNoSubdivision
      2.3-86 NmzNoSymmetrization
      2.3-87 NmzNumberLatticePoints
      2.3-88 NmzOriginalMonoidGenerators
      2.3-89 NmzPlacingTriangulation
      2.3-90 NmzPrimalMode
      2.3-91 NmzProjectCone
      2.3-92 NmzProjection
      2.3-93 NmzProjectionFloat
      2.3-94 NmzPullingTriangulation
      2.3-95 NmzPullingTriangulationInternal
      2.3-96 NmzRank
      2.3-97 NmzRationalAutomorphisms
      2.3-98 NmzRecessionRank
      2.3-99 NmzReesPrimaryMultiplicity
      2.3-100 NmzRenfVolume
      2.3-101 NmzSignedDec
      2.3-102 NmzStanleyDec
      2.3-103 NmzStatic
      2.3-104 NmzStrictIsoTypeCheck
      2.3-105 NmzSublattice
      2.3-106 NmzSuppHypsFloat
      2.3-107 NmzSupportHyperplanes
      2.3-108 NmzSymmetrize
      2.3-109 NmzTestArithOverflowDescent
      2.3-110 NmzTestArithOverflowDualMode
      2.3-111 NmzTestArithOverflowFullCone
      2.3-112 NmzTestArithOverflowProjAndLift
      2.3-113 NmzTestLargePyramids
      2.3-114 NmzTestLibNormaliz
      2.3-115 NmzTestLinearAlgebraGMP
      2.3-116 NmzTestSimplexParallel
      2.3-117 NmzTestSmallPyramids
      2.3-118 NmzTriangulation
      2.3-119 NmzTriangulationDetSum
      2.3-120 NmzTriangulationSize
      2.3-121 NmzUnimodularTriangulation
      2.3-122 NmzUnitGroupIndex
      2.3-123 NmzVerticesFloat
      2.3-124 NmzVerticesOfPolyhedron
      2.3-125 NmzVirtualMultiplicity
      2.3-126 NmzVolume
      2.3-127 NmzWeightedEhrhartQuasiPolynomial
      2.3-128 NmzWeightedEhrhartSeries
      2.3-129 NmzWitnessNotIntegrallyClosed
      2.3-130 NmzBasisChange
  3 [33X[0;0YExamples[133X
    3.1 [33X[0;0YGenerators[133X
    3.2 [33X[0;0YSystem of equations[133X
    3.3 [33X[0;0YSystem of inhomogeneous equations[133X
    3.4 [33X[0;0YCombined input[133X
    3.5 [33X[0;0YUsing the dual mode[133X
  4 [33X[0;0YInstalling NormalizInterface[133X
    4.1 [33X[0;0YCompiling[133X
  
  
  [32X
