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NormalizInterface

GAP wrapper for Normaliz

1.3.4

7 August 2022

Sebastian Gutsche
Email: gutsche@mathematik.uni-siegen.de

Max Horn
Email: horn@mathematik.uni-kl.de
Homepage: https://www.quendi.de/math
Address:
Fachbereich Mathematik
TU Kaiserslautern
Gottlieb-Daimler-Straße 48
67663 Kaiserslautern
Germany

Christof Söger
Email: csoeger@uos.de

Contents

1 Introduction
2 Functions
 2.3 Cone properties

  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 Examples
4 Installing NormalizInterface
References
Index

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