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NormalizInterface

GAP wrapper for Normaliz

1.0.2

3 December 2017

Sebastian Gutsche
Email: [email protected]
Homepage: http://wwwb.math.rwth-aachen.de/~gutsche/
Address:
Department of Mathematics
University of Siegen
57072 Kaiserslautern
Germany

Max Horn
Email: [email protected]
Homepage: http://www.quendi.de/math
Address:
AG Algebra
Mathematisches Institut
Justus-Liebig-Universität Gießen
Arndtstraße 2
35392 Gießen
Germany

Christof Söger
Email: [email protected]
Homepage: https://www.normaliz.uni-osnabrueck.de
Address:
Institut für Mathematik
Albrechtstr. 28a
49076 Osnabrück
Germany

Contents

1.1 What is the purpose of the this package?

2.1 Create a NmzCone

2.2 Use a NmzCone

  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 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

3.2 System of equations

3.3 System of inhomogeneous equations

3.4 Combined input

3.5 Using the dual mode

4 Installing NormalizInterface

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