manual.six

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[ [ "Title page", ".", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" ],
  [ "Abstract", ".-1", [ 0, 0, 1 ], 21, 2, "abstract", "X7AA6C5737B711C89" ], 
  [ "Copyright", ".-3", [ 0, 0, 3 ], 24, 2, "copyright", "X81488B807F2A1CF1" ]
    , [ "Acknowledgements", ".-2", [ 0, 0, 2 ], 33, 2, "acknowledgements", 
      "X82A988D47DFAFCFA" ], 
  [ "Table of Contents", ".-4", [ 0, 0, 4 ], 38, 3, "table of contents", 
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  [ "\033[1XIntroduction\033[0X", "1", [ 1, 0, 0 ], 1, 5, "introduction", 
      "X7DFB63A97E67C0A1" ], 
  [ "\033[1XAbstract and Notation\033[0X", "1.1", [ 1, 1, 0 ], 4, 5, 
      "abstract and notation", "X813275957BA5B5E0" ], 
  [ "\033[1XThe natural action of crystallographic groups\033[0X", "1.1-1", 
      [ 1, 1, 1 ], 25, 5, "the natural action of crystallographic groups", 
      "X7F4A00F481A1FB39" ], 
  [ "\033[1XRequirements\033[0X", "1.2", [ 1, 2, 0 ], 55, 6, "requirements", 
      "X85A08CF187A6D986" ], 
  [ "\033[1XRecommendation concerning polymake\033[0X", "1.2-1", [ 1, 2, 1 ], 
      75, 6, "recommendation concerning polymake", "X7990986A8114E0DB" ], 
  [ "\033[1XGlobal Variables\033[0X", "1.3", [ 1, 3, 0 ], 93, 6, 
      "global variables", "X7D9044767BEB1523" ], 
  [ "\033[1XBits and Pieces\033[0X", "2", [ 2, 0, 0 ], 1, 7, 
      "bits and pieces", "X86FBE5B77C2F9442" ], 
  [ "\033[1XMatrices and Vectors\033[0X", "2.1", [ 2, 1, 0 ], 7, 7, 
      "matrices and vectors", "X8019925B8294F5B4" ], 
  [ "\033[1XAffine Matrices OnRight\033[0X", "2.2", [ 2, 2, 0 ], 64, 8, 
      "affine matrices onright", "X86BD4FE4871379AD" ], 
  [ "\033[1XGeometry\033[0X", "2.3", [ 2, 3, 0 ], 113, 9, "geometry", 
      "X84A0B0637F269E37" ], 
  [ "\033[1XInequalities\033[0X", "2.3-2", [ 2, 3, 2 ], 126, 9, 
      "inequalities", "X866942167802E036" ], 
  [ "\033[1XSpace Groups\033[0X", "2.4", [ 2, 4, 0 ], 182, 10, 
      "space groups", "X7B14774981F80108" ], 
  [ "\033[1XAlgorithms of Orbit-Stabilizer Type\033[0X", "3", [ 3, 0, 0 ], 1, 
      11, "algorithms of orbit-stabilizer type", "X7F6789767FB36E74" ], 
  [ "\033[1XOrbit Stabilizer for Crystallographic Groups\033[0X", "3.1", 
      [ 3, 1, 0 ], 7, 11, "orbit stabilizer for crystallographic groups", 
      "X85CAB2EB85A6E17A" ], 
  [ "\033[1XGetting other orbit parts\033[0X", "3.1-8", [ 3, 1, 8 ], 181, 14, 
      "getting other orbit parts", "X8002407080DB3EA2" ], 
  [ "\033[1XResolutions of Crystallographic Groups\033[0X", "4", [ 4, 0, 0 ], 
      1, 16, "resolutions of crystallographic groups", "X852C41A77C759D82" ], 
  [ "\033[1XFundamental Domains\033[0X", "4.1", [ 4, 1, 0 ], 4, 16, 
      "fundamental domains", "X7F48638F817A14B0" ], 
  [ "\033[1XFace Lattice and Resolution\033[0X", "4.2", [ 4, 2, 0 ], 167, 19, 
      "face lattice and resolution", "X78D68F6087238F97" ], 
  [ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 22, "bibliography", 
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  [ "References", "bib", [ "Bib", 0, 0 ], 1, 22, "references", 
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  [ "Index", "ind", [ "Ind", 0, 0 ], 1, 23, "index", "X83A0356F839C696F" ], 
  [ "action of crystallographic groups", "1.1-1", [ 1, 1, 1 ], 25, 5, 
      "action of crystallographic groups", "X7F4A00F481A1FB39" ], 
  [ "installation", "1.2", [ 1, 2, 0 ], 55, 6, "installation", 
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  [ "polymake", "1.2-1", [ 1, 2, 1 ], 75, 6, "polymake", "X7990986A8114E0DB" ]
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  [ "\033[2XInfoHAPcryst\033[0X", "1.3-1", [ 1, 3, 1 ], 101, 6, "infohapcryst"
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  [ "\033[2XSignRat\033[0X", "2.1-1", [ 2, 1, 1 ], 10, 7, "signrat", 
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  [ "\033[2XVectorModOne\033[0X", "2.1-2", [ 2, 1, 2 ], 16, 7, 
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  [ "\033[2XIsSquareMat\033[0X", "2.1-3", [ 2, 1, 3 ], 33, 7, "issquaremat", 
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  [ "\033[2XDimensionSquareMat\033[0X", "2.1-4", [ 2, 1, 4 ], 38, 7, 
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  [ "\033[2XLinearPartOfAffineMatOnRight\033[0X", "2.2-1", [ 2, 2, 1 ], 67, 
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  [ "\033[2XBasisChangeAffineMatOnRight\033[0X", "2.2-2", [ 2, 2, 2 ], 73, 8, 
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  [ "\033[2XTranslationOnRightFromVector\033[0X", "2.2-3", [ 2, 2, 3 ], 92, 
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  [ "\033[2XGramianOfAverageScalarProductFromFiniteMatrixGroup\033[0X", 
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  [ "\033[2XWhichSideOfHyperplane\033[0X", "2.3-4", [ 2, 3, 4 ], 145, 9, 
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  [ "\033[2XWhichSideOfHyperplaneNC\033[0X", "2.3-4", [ 2, 3, 4 ], 145, 9, 
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  [ "\033[2XOrbitPartInVertexSetsStandardSpaceGroup\033[0X", "3.1-3", 
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  [ "\033[2XRepresentativeActionOnRightOnSets\033[0X", "3.1-7", [ 3, 1, 7 ], 
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  [ "\033[2XShiftedOrbitPart\033[0X", "3.1-9", [ 3, 1, 9 ], 188, 14, 
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  [ "\033[2XTranslationsToOneCubeAroundCenter\033[0X", "3.1-10", 
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  [ "\033[2XFundamentalDomainStandardSpaceGroup\033[0X", "4.1-1", 
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