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NormalizInterface

GAP wrapper for Normaliz

1.0.2

3 December 2017

Sebastian Gutsche
Email: gutsche@mathematik.uni-siegen.de
Homepage: http://wwwb.math.rwth-aachen.de/~gutsche/
Address:
Department of Mathematics
University of Siegen
57072 Kaiserslautern
Germany

Max Horn
Email: max.horn@math.uni-giessen.de
Homepage: http://www.quendi.de/math
Address:
AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstraße 2
35392 Gießen
Germany

Christof Söger
Email: csoeger@uos.de
Homepage: https://www.normaliz.uni-osnabrueck.de
Address:
Institut für Mathematik
Albrechtstr. 28a
49076 Osnabrück
Germany

Contents

1 Introduction
2 Functions
 2.3 Cone properties

  2.3-1 NmzAffineDim

  2.3-2 NmzClassGroup

  2.3-3 NmzCongruences

  2.3-4 NmzDeg1Elements

  2.3-5 NmzDehomogenization

  2.3-6 NmzEmbeddingDimension

  2.3-7 NmzEquations

  2.3-8 NmzExcludedFaces

  2.3-9 NmzExtremeRays

  2.3-10 NmzGenerators

  2.3-11 NmzGeneratorOfInterior

  2.3-12 NmzGrading

  2.3-13 NmzHilbertBasis

  2.3-14 NmzHilbertQuasiPolynomial

  2.3-15 NmzHilbertSeries

  2.3-16 NmzInclusionExclusionData

  2.3-17 NmzIsDeg1ExtremeRays

  2.3-18 NmzIsDeg1HilbertBasis

  2.3-19 NmzIsGorenstein

  2.3-20 NmzIsInhomogeneous

  2.3-21 NmzIsIntegrallyClosed

  2.3-22 NmzIsPointed

  2.3-23 NmzIsReesPrimary

  2.3-24 NmzMaximalSubspace

  2.3-25 NmzModuleGenerators

  2.3-26 NmzModuleGeneratorsOverOriginalMonoid

  2.3-27 NmzModuleRank

  2.3-28 NmzMultiplicity

  2.3-29 NmzOriginalMonoidGenerators

  2.3-30 NmzRank

  2.3-31 NmzRecessionRank

  2.3-32 NmzReesPrimaryMultiplicity

  2.3-33 NmzSupportHyperplanes

  2.3-34 NmzTriangulation

  2.3-35 NmzTriangulationDetSum

  2.3-36 NmzTriangulationSize

  2.3-37 NmzVerticesFloat

  2.3-38 NmzVerticesOfPolyhedron

  2.3-39 NmzConeDecomposition

  2.3-40 NmzEmbeddingDim

  2.3-41 NmzExternalIndex

  2.3-42 NmzGradingDenom

  2.3-43 NmzIntegerHull

  2.3-44 NmzInternalIndex

  2.3-45 NmzStanleyDec

  2.3-46 NmzSublattice

  2.3-47 NmzUnitGroupIndex

  2.3-48 NmzWeightedEhrhartQuasiPolynomial

  2.3-49 NmzWeightedEhrhartSeries

  2.3-50 NmzWitnessNotIntegrallyClosed

  2.3-51 NmzBasisChange
3 Examples
4 Installing NormalizInterface
References
Index

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