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singular

A GAP interface to Singular

2024.06.03

3 June 2024

Marco Costantini

Willem Adriaan de Graaf
Email: degraaf@science.unitn.it
Homepage: https://www.science.unitn.it/~degraaf/
Address:
Willem de Graaf
Dipartimento di Matematica
Università degli Studi di Trento
I-38050 Povo (Trento)
Italy

Contents

1 singular: the GAP interface to Singular

1.1 Introduction

  1.1-1 Package evolution
  1.1-2 The system Singular
  1.1-3 The system GAP

1.2 Installation

  1.2-1 Installing the system Singular
  1.2-2 Installing the system GAP
  1.2-3 Installing the package singular
  1.2-4 sing_exec

1.3 Interaction with Singular

  1.3-1 StartSingular
  1.3-2 SingularHelp
  1.3-3 Rings and orderings
  1.3-4 Supported coefficients fields
  1.3-5 SetTermOrdering
  1.3-6 SingularSetBaseRing
  1.3-7 SingularLibrary
  1.3-8 SingularInterface
  1.3-9 SingularType

1.4 Interaction with Singular at low level

1.4-1 SingularCommand
1.4-2 GapInterface

1.5 Other mathematical functions of the package

  1.5-1 GroebnerBasis
  1.5-2 SINGULARGBASIS
  1.5-3 HasTrivialGroebnerBasis
  1.5-4 GcdUsingSingular
  1.5-5 FactorsUsingSingularNC
  1.5-6 FactorsUsingSingular
  1.5-7 GeneratorsOfInvariantRing

1.6 Algebraic-geometric codes functions

1.6-1 AllPointsOnCurve
1.6-2 AGCode

1.7 Troubleshooting and technical stuff

  1.7-1 Supported platforms and underlying GAP functions
  1.7-2 How different versions of GAP display polynomial rings and polynomials
  1.7-3 Test file
  1.7-4 Common problems
  1.7-5 Errors on the Singular side
  1.7-6 Sending a report
  1.7-7 SingularReportInformation
  1.7-8 InfoSingular

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