CoCalc Logo Icon
StoreFeaturesDocsShareSupportNewsAboutSign UpSign In

Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

| Download

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

Views: 418386
HAP_GCOMPLEX_SETUP:=[false]; 
HAP_GCOMPLEX_LIST:=[[rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -5, 2, 10, 0 ], [ -28, -5, 0, 10 ], [ 3, 2, 5, -2 ], [ -28, 3, 28, 5 ] ]
    , [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 5, -2, -10, 0 ], [ 28, 5, 0, -10 ], [ -3, -2, -5, 2 ], 
      [ 28, -3, -28, -5 ] ] ]),TheRotSubgroup:=Group([ [ [ -5, 2, 10, 0 ], [ -28, -5, 0, 10 ], [ 3, 2, 5, -2 ], [ -28, 3, 28, 5 ] ]
    , [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 5, -2, -10, 0 ], [ 28, 5, 0, -10 ], [ -3, -2, -5, 2 ], 
      [ 28, -3, -28, -5 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -5, -2, -3, 2 ], [ 28, -5, -28, -3 ], [ -10, 0, 5, 2 ], 
      [ 0, -10, -28, 5 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 5, 2, 3, -2 ], [ -28, 5, 28, 3 ], [ 10, 0, -5, -2 ], [ 0, 10, 28, -5 ] 
     ] ]),TheRotSubgroup:=Group([ [ [ -5, -2, -3, 2 ], [ 28, -5, -28, -3 ], [ -10, 0, 5, 2 ], 
      [ 0, -10, -28, 5 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 5, 2, 3, -2 ], [ -28, 5, 28, 3 ], [ 10, 0, -5, -2 ], [ 0, 10, 28, -5 ] 
     ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ]),TheRotSubgroup:=Group([ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -127, 0, 66, 29 ], [ 0, -127, -406, 66 ], [ -66, 29, 127, 0 ], 
      [ -406, -66, 0, 127 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 127, 0, -66, -29 ], [ 0, 127, 406, -66 ], [ 66, -29, -127, 0 ], 
      [ 406, 66, 0, -127 ] ] ]),TheRotSubgroup:=Group([ [ [ -127, 0, 66, 29 ], [ 0, -127, -406, 66 ], [ -66, 29, 127, 0 ], 
      [ -406, -66, 0, 127 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 127, 0, -66, -29 ], [ 0, 127, 406, -66 ], [ 66, -29, -127, 0 ], 
      [ 406, 66, 0, -127 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ]))],[rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 2 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 4 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 5 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 6 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ -127, 0, 66, 29 ], [ 0, -127, -406, 66 ], [ -66, 29, 127, 0 ], 
      [ -406, -66, 0, 127 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 5 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 4, 2, 3, -2 ], [ -28, 4, 28, 3 ], [ 5, 0, -3, -1 ], [ 0, 5, 14, -3 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 6 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ -109, 33, 163, 8 ], [ -462, -109, -112, 163 ], [ 53, 42, 108, -34 ], 
      [ -588, 53, 476, 108 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 4 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ -22, 0, 11, 5 ], [ 0, -22, -70, 11 ], [ -11, 3, 15, 1 ], 
      [ -42, -11, -14, 15 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 15, 1, -11, -5 ], [ -14, 15, 70, -11 ], [ 11, -3, -22, 0 ], 
      [ 42, 11, 0, -22 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 2 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 13, -2, -13, -2 ], [ 28, 13, 28, -13 ], [ 13, 2, 0, -4 ], 
      [ -28, 13, 56, 0 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 3, 7 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 5, -2, -10, 0 ], [ 28, 5, 0, -10 ], [ -3, -2, -5, 2 ], 
      [ 28, -3, -28, -5 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 4, 8 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -5, -2, -3, 2 ], [ 28, -5, -28, -3 ], [ -10, 0, 5, 2 ], 
      [ 0, -10, -28, 5 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 3, 8 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -5, 2, 10, 0 ], [ -28, -5, 0, 10 ], [ 3, 2, 5, -2 ], [ -28, 3, 28, 5 ] ]
    , [ [ -18, -10, -23, 9 ], [ 140, -18, -126, -23 ], [ -33, -1, 13, 8 ], 
      [ 14, -33, -112, 13 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 4, 7 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 5, 2, 3, -2 ], [ -28, 5, 28, 3 ], [ 10, 0, -5, -2 ], [ 0, 10, 28, -5 ] ]
    , [ [ -13, -8, -23, 9 ], [ 112, -13, -126, -23 ], [ -33, -1, 18, 10 ], 
      [ 14, -33, -140, 18 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 5, 7 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 21, -1, -16, -5 ], [ 14, 21, 70, -16 ], [ 11, -5, -25, 0 ], 
      [ 70, 11, 0, -25 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 6, 8 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -127, 0, 66, 29 ], [ 0, -127, -406, 66 ], [ -66, 29, 127, 0 ], 
      [ -406, -66, 0, 127 ] ], 
  [ [ -25, -36, -101, 23 ], [ 504, -25, -322, -101 ], [ -128, -13, 21, 35 ], 
      [ 182, -128, -490, 21 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 5, 7 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -5, 3, 15, 0 ], [ -42, -5, 0, 15 ], [ 5, 3, 10, -3 ], 
      [ -42, 5, 42, 10 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 6, 8 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 127, 0, -66, -29 ], [ 0, 127, 406, -66 ], [ 66, -29, -127, 0 ], 
      [ 406, 66, 0, -127 ] ], 
  [ [ 66, 29, 61, -29 ], [ -406, 66, 406, 61 ], [ 127, 0, -61, -29 ], 
      [ 0, 127, 406, -61 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ]),TheRotSubgroup:=Group([ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 5, 6 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, -9, -28, 5 ], [ 126, -1, -70, -28 ], [ -28, -5, -1, 9 ], 
      [ 70, -28, -126, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ]),TheRotSubgroup:=Group([ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 5, 6 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ 52, 8, -1, -16 ], [ -112, 52, 224, -1 ], [ 57, -4, -42, -11 ], 
      [ 56, 57, 154, -42 ] ] ]))],[rec(TheMatrixStab:=Group([ [ [ -5, 2, 10, 0 ], [ -28, -5, 0, 10 ], [ 3, 2, 5, -2 ], [ -28, 3, 28, 5 ] ]
    , [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 5, -2, -10, 0 ], [ 28, 5, 0, -10 ], [ -3, -2, -5, 2 ], 
      [ 28, -3, -28, -5 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 3, 3, 2, 2, 1 ],ListSign:=[ 1, 1, -1, -1, 1, -1 ],ListElt:=[ [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ -10, 0, 5, 2 ], [ 0, -10, -28, 5 ], [ -5, 2, 8, 0 ], [ -28, -5, 0, 8 ] ]
    , [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -5, 2, 10, 0 ], [ -28, -5, 0, 10 ], [ 3, 2, 5, -2 ], [ -28, 3, 28, 5 ] ]
    , 
  [ [ -10, 0, 5, 2 ], [ 0, -10, -28, 5 ], [ -5, 2, 8, 0 ], [ -28, -5, 0, 8 ] 
     ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 4, 11, 15 ],ListSign:=[ 1, -1, 1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 5, -2, -10, 0 ], [ 28, 5, 0, -10 ], [ -3, -2, -5, 2 ], 
      [ 28, -3, -28, -5 ] ], 
  [ [ 15, 0, -10, -3 ], [ 0, 15, 42, -10 ], [ 10, -3, -15, 0 ], 
      [ 42, 10, 0, -15 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 3, 5, 12, 16 ],ListSign:=[ 1, -1, 1, -1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 5, 2, 3, -2 ], [ -28, 5, 28, 3 ], [ 10, 0, -5, -2 ], [ 0, 10, 28, -5 ] ]
    , [ [ 127, 0, -66, -29 ], [ 0, 127, 406, -66 ], [ 66, -29, -127, 0 ], 
      [ 406, 66, 0, -127 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 11, 4, 17 ],ListSign:=[ 1, 1, -1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ -10, 3, 15, 0 ], [ -42, -10, 0, 15 ], [ 5, 3, 5, -3 ], 
      [ -42, 5, 42, 5 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 3, 12, 18, 5 ],ListSign:=[ 1, 1, -1, -1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ -61, -29, -61, 29 ], [ 406, -61, -406, -61 ], [ -127, 0, 66, 29 ], 
      [ 0, -127, -406, 66 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 9, 3, 8 ],ListSign:=[ 1, -1, 1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 22, 0, -11, -5 ], [ 0, 22, 70, -11 ], [ 11, -3, -15, -1 ], 
      [ 42, 11, 14, -15 ] ], 
  [ [ 22, 0, -11, -5 ], [ 0, 22, 70, -11 ], [ 11, -3, -15, -1 ], 
      [ 42, 11, 14, -15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 4, 20, 6, 20, 5, 7 ],ListSign:=[ 1, 1, -1, -1, 1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -15, 0, 10, 3 ], [ 0, -15, -42, 10 ], [ -10, 3, 15, 0 ], 
      [ -42, -10, 0, 15 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ -1, 2, 6, -1 ], [ -28, -1, 14, 6 ], [ 4, 2, 3, -2 ], [ -28, 4, 28, 3 ] ]
    , [ [ -48, 2, 31, 10 ], [ -28, -48, -140, 31 ], [ -31, 10, 48, 2 ], 
      [ -140, -31, -28, 48 ] ], 
  [ [ -31, -10, -17, 12 ], [ 140, -31, -168, -17 ], [ -48, -2, 17, 12 ], 
      [ 28, -48, -168, 17 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 6, 17, 14, 8 ],ListSign:=[ 1, 1, -1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 6, 1, -1, -2 ], [ -14, 6, 28, -1 ], [ 3, -1, -5, 0 ], [ 14, 3, 0, -5 ] ]
    , 
  [ [ 22, 0, -11, -5 ], [ 0, 22, 70, -11 ], [ 11, -3, -15, -1 ], 
      [ 42, 11, 14, -15 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 7, 9, 13, 18 ],ListSign:=[ 1, -1, -1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 15, 1, -11, -5 ], [ -14, 15, 70, -11 ], [ 11, -3, -22, 0 ], 
      [ 42, 11, 0, -22 ] ], 
  [ [ -163, 8, 109, 33 ], [ -112, -163, -462, 109 ], [ -55, 42, 162, -9 ], 
      [ -588, -55, 126, 162 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 6, 8, 14, 15 ],ListSign:=[ 1, -1, -1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ -11, -3, -4, 4 ], [ 42, -11, -56, -4 ], [ -11, 3, 15, 1 ], 
      [ -42, -11, -14, 15 ] ], 
  [ [ 4, 2, 3, -2 ], [ -28, 4, 28, 3 ], [ 5, 0, -3, -1 ], [ 0, 5, 14, -3 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 7, 16, 13, 9 ],ListSign:=[ 1, 1, -1, -1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ -109, 33, 163, 8 ], [ -462, -109, -112, 163 ], [ 53, 42, 108, -34 ], 
      [ -588, 53, 476, 108 ] ], 
  [ [ -41, 5, 45, 7 ], [ -70, -41, -98, 45 ], [ -4, 12, 45, -7 ], 
      [ -168, -4, 98, 45 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -1, 0, 2, 0 ], [ 0, -1, 0, 2 ], [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ] ], 
  [ [ 1, 0, -2, 0 ], [ 0, 1, 0, -2 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 8, 10, 9, 9, 10, 8 ],ListSign:=[ 1, -1, -1, 1, 1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ], 
  [ [ 0, -4, -13, 2 ], [ 56, 0, -28, -13 ], [ 13, -2, -13, -2 ], 
      [ 28, 13, 28, -13 ] ], 
  [ [ -26, 0, 13, 6 ], [ 0, -26, -84, 13 ], [ -13, -2, 0, 4 ], 
      [ 28, -13, -56, 0 ] ], 
  [ [ 1, 0, 1, 0 ], [ 0, 1, 0, 1 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 1, 0, -2, 0 ], [ 0, 1, 0, -2 ], [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 11, 14, 13, 12 ],ListSign:=[ 1, -1, -1, 1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 18, 10, 23, -9 ], [ -140, 18, 126, 23 ], [ 33, 1, -13, -8 ], 
      [ -14, 33, 112, -13 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 18, 10, 23, -9 ], [ -140, 18, 126, 23 ], [ 33, 1, -13, -8 ], 
      [ -14, 33, 112, -13 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 15, 17, 19, 19, 16, 18 ],ListSign:=[ 1, -1, -1, 1, 1, -1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 38, 0, -25, -8 ], [ 0, 38, 112, -25 ], [ 25, -8, -40, 0 ], 
      [ 112, 25, 0, -40 ] ], 
  [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 16, 5, 5, -6 ], [ -70, 16, 84, 5 ], [ 25, 0, -14, -5 ], 
      [ 0, 25, 70, -14 ] ], 
  [ [ -102, -7, 31, 27 ], [ 98, -102, -378, 31 ], [ -87, 17, 100, 11 ], 
      [ -238, -87, -154, 100 ] ], 
  [ [ 1, 9, 28, -5 ], [ -126, 1, 70, 28 ], [ 28, 5, 1, -9 ], 
      [ -70, 28, 126, 1 ] ] ]))]];