[1X[5XAtlasRep[0m[1X --- A GAP 4 Package[0m (Version 1.4) Robert A. Wilson Richard A. Parker Simon Nickerson John N. Bray Thomas Breuer Robert A. Wilson Email: [7Xmailto:R.A.Wilson@qmul.ac.uk[0m Homepage: [7Xhttp://www.maths.qmw.ac.uk/~raw[0m Richard A. Parker Email: [7Xmailto:richard@ukonline.co.uk[0m Homepage: [7Xhttp://web.ukonline.co.uk/richard[0m Simon Nickerson Email: [7Xmailto:simonn@maths.bham.ac.uk[0m Homepage: [7Xhttp://web.mat.bham.ac.uk/S.Nickerson[0m John N. Bray Email: [7Xmailto:J.N.Bray@qmul.ac.uk[0m Homepage: [7Xhttp://www.maths.qmw.ac.uk/~jnb[0m Thomas Breuer Email: [7Xmailto:sam@Math.RWTH-Aachen.De[0m Homepage: [7Xhttp://www.math.rwth-aachen.de/~Thomas.Breuer[0m ------------------------------------------------------- [1XCopyright[0m © 2002 We adopt the copyright regulations of [5XGAP[0m as detailed in the copyright notice in the [5XGAP[0m Reference Manual. ------------------------------------------------------- [1XContents (AtlasRep)[0X 1 Introduction to the [5XAtlasRep[0m Package 1.1 An [5XATLAS[0m of Group Representations 1.2 The GAP Interface to the [5XATLAS[0m of Group Representations 1.3 Web Services for the [5XAtlasRep[0m Package 1.4 Installing the [5XAtlasRep[0m Package 1.5 Loading the [5XAtlasRep[0m Package 1.6 Maintaining the Local Data of the [5XAtlasRep[0m Package 1.6-1 ReloadAtlasTableOfContents 1.6-2 StoreAtlasTableOfContents 1.6-3 ReplaceAtlasTableOfContents 1.6-4 AtlasOfGroupRepresentationsTestTableOfContentsRemoteUpdates 1.7 User Parameters for the [5XAtlasRep[0m Package 1.7-1 Local or Remote Access 1.7-2 Adding and Removing Servers 1.7-3 Accessing Data Files with the [5XGAP[0m Package [5XIO[0m or with [11Xwget[0m 1.7-4 Compressed or Uncompressed Data Files 1.7-5 Customizing [10XDisplayAtlasInfo[0m 1.7-6 Customizing the Access to Data Files 1.7-7 Reading Large Matrices over Finite Fields 1.7-8 AtlasOfGroupRepresentationsShowUserParameters 1.8 Extending the [5XATLAS[0m Database 1.9 What's New in [5XAtlasRep[0m, Compared to Older Versions? 1.9-1 What's New in Version 1.4? 1.9-2 What's New in Version 1.3.1? 1.9-3 What's New in Version 1.3? 1.9-4 What's New in Version 1.2? 1.9-5 What's New in Version 1.1? 1.10 Acknowledgments 2 The User Interface of the [5XAtlasRep[0m Package 2.1 Accessing vs. Constructing Representations 2.2 Group Names Used in the [5XAtlasRep[0m Package 2.3 Standard Generators Used in the [5XAtlasRep[0m Package 2.4 Class Names Used in the [5XAtlasRep[0m Package 2.4-1 Definition of [5XATLAS[0m Class Names 2.4-2 AtlasClassNames 2.5 Accessing Data of the [5XAtlasRep[0m Package 2.5-1 DisplayAtlasInfo 2.5-2 AtlasGenerators 2.5-3 AtlasProgram 2.5-4 OneAtlasGeneratingSetInfo 2.5-5 AllAtlasGeneratingSetInfos 2.5-6 AtlasGroup 2.5-7 AtlasSubgroup 2.6 Examples of Using the [5XAtlasRep[0m Package 2.6-1 Example: Class Representatives 2.6-2 Example: Permutation and Matrix Representations 2.6-3 Example: Outer Automorphisms 2.6-4 Example: Using Semi-presentations and Black Box Programs 2.6-5 Example: Using the [5XGAP[0m Library of Tables of Marks 3 Private Extensions of the [5XAtlasRep[0m Package 3.1 Adding a Private Data Directory 3.1-1 AtlasOfGroupRepresentationsNotifyPrivateDirectory 3.1-2 AtlasOfGroupRepresentationsForgetPrivateDirectory 3.2 The Effect of Private Extensions on the User Interface 3.3 An Example of Extending the [5XAtlasRep[0m Package 4 New Objects and Utility Functions Provided by the [5XAtlasRep[0m Package 4.1 Straight Line Decisions 4.1-1 IsStraightLineDecision 4.1-2 LinesOfStraightLineDecision 4.1-3 NrInputsOfStraightLineDecision 4.1-4 ScanStraightLineDecision 4.1-5 StraightLineDecision 4.1-6 ResultOfStraightLineDecision 4.1-7 Semi-Presentations and Presentations 4.1-8 AsStraightLineDecision 4.1-9 StraightLineProgramFromStraightLineDecision 4.2 Black Box Programs 4.2-1 IsBBoxProgram 4.2-2 ScanBBoxProgram 4.2-3 RunBBoxProgram 4.2-4 ResultOfBBoxProgram 4.2-5 AsBBoxProgram 4.2-6 AsStraightLineProgram 4.3 Representations of Minimal Degree 4.3-1 MinimalRepresentationInfo 4.3-2 MinimalRepresentationInfoData 4.3-3 SetMinimalRepresentationInfo 4.3-4 Criteria Used to Compute Minimality Information 4.3-5 AGR_TestMinimalDegrees 4.3-6 BrowseMinimalDegrees 4.4 Bibliographies of Sporadic Simple Groups 4.4-1 BrowseBibliographySporadicSimple 5 Technicalities of the [5XAtlasRep[0m Package 5.1 Global Variables Used by the [5XAtlasRep[0m Package 5.1-1 InfoAtlasRep 5.1-2 InfoCMeatAxe 5.1-3 InfoBBox 5.1-4 CMeatAxe.FastRead 5.1-5 AtlasOfGroupRepresentationsInfo 5.2 How to Customize the Access to Data files 5.3 Reading and Writing MeatAxe Format Files 5.3-1 ScanMeatAxeFile 5.3-2 MeatAxeString 5.3-3 FFList 5.3-4 CMtxBinaryFFMatOrPerm 5.3-5 FFMatOrPermCMtxBinary 5.4 Reading and Writing [5XATLAS[0m Straight Line Programs 5.4-1 ScanStraightLineProgram 5.4-2 AtlasStringOfProgram 5.5 Data Types Used in the [5XATLAS[0m of Group Representations 5.5-1 AGRDeclareDataType 5.6 Filenames Used in the [5XATLAS[0m of Group Representations 5.6-1 AGRParseFilenameFormat 5.6-2 AGRFileContents 5.7 The Tables of Contents of the [5XATLAS[0m of Group Representations 5.7-1 AGRGNAN 5.7-2 AGRRNG 5.8 Sanity Checks for the [5XATLAS[0m of Group Representations 5.8-1 AtlasOfGroupRepresentationsTestGroupOrders 5.8-2 AtlasOfGroupRepresentationsTestSubgroupOrders 5.8-3 AtlasOfGroupRepresentationsTestStdCompatibility 5.8-4 AtlasOfGroupRepresentationsTestCompatibleMaxes 5.8-5 AtlasOfGroupRepresentationsTestFileHeaders 5.8-6 AtlasOfGroupRepresentationsTestWords 5.8-7 AtlasOfGroupRepresentationsTestFiles 5.8-8 AtlasOfGroupRepresentationsTestClassScripts -------------------------------------------------------