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# MapClass

October 2011

Adam James
Email: jamesa@maths.bham.ac.uk

Kay Magaard
Email: K.Magaard@maths.bham.ac.uk

Sergey Shpectorov
Email: s.shpectorov@bham.ac.uk

Helmut Völklein
Email: voelkle@iem.uni-due.de

### Copyright

© 2004-2011 by Adam James, Kay Magaard Sergey Shpectorov, and Helmut Völklein

MapClass is free software you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. For details, see the file 'GPL' in the 'etc' directory of the GAP distribution or see the FSF's own site.

### Contents

1 Introduction and Main Functions
1.1 Background Material
1.2 Overview of Main Functions
1.2-1 AllMCOrbits
1.2-2 AllMCOrbitsCore
1.2-3 GeneratingMCOrbits
1.2-4 GeneratingMCOrbitsCore
1.2-5 MappingClassOrbit
1.2-6 PrepareMinTree
1.2-7 MinimizeTuple
1.2-8 EasyMinimizeTuple
1.2-9 IsInOrbit
1.2-10 FindTupleInOrbit
1.2-11 IsEqualOrbit
1.2-12 SelectTuple
1.2-13 NumberGeneratingTuples
1.2-14 TotalNumberTuples
1.2-15 CalculateTuplePartition
1.2-16 RestoreOrbitFromFile
1.2-17 SaveOrbitToFile
1.3 Key Data Structures
1.3-1 The Orbit Record
1.3-2 The Tuple Table
1.4 A Sample Session
1.5 An Application
A Installation
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