CoCalc -- GL2O-26

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

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Path: gap4r8 / pkg / Hap1.12 / lib / Perturbations / Gcomplexes / GL2O-26
Views: ⁴¹⁸⁴²⁵
HAP_GCOMPLEX_SETUP:=[false]; 
HAP_GCOMPLEX_LIST:=[[rec(TheMatrixStab:=Group([ [ [ -4, 0, 2, 1 ], [ 0, -4, -13, 2 ], [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ] ], 
  [ [ -2, -1, -2, 1 ], [ 13, -2, -13, -2 ], [ -4, 0, 2, 1 ], 
      [ 0, -4, -13, 2 ] ], 
  [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -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 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ], 
  [ [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ], [ 4, 0, -2, -1 ], [ 0, 4, 13, -2 ] ], 
  [ [ 4, 0, -2, -1 ], [ 0, 4, 13, -2 ], [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ] ] ]),TheRotSubgroup:=Group([ [ [ -4, 0, 2, 1 ], [ 0, -4, -13, 2 ], [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ] ], 
  [ [ -2, -1, -2, 1 ], [ 13, -2, -13, -2 ], [ -4, 0, 2, 1 ], 
      [ 0, -4, -13, 2 ] ], 
  [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -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 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ], 
  [ [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ], [ 4, 0, -2, -1 ], [ 0, 4, 13, -2 ] ], 
  [ [ 4, 0, -2, -1 ], [ 0, 4, 13, -2 ], [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ] ] ]),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([ [ [ -21, 1, 13, 4 ], [ -13, -21, -52, 13 ], [ -9, 6, 21, -1 ], 
      [ -78, -9, 13, 21 ] ], 
  [ [ -12, 5, 20, 0 ], [ -65, -12, 0, 20 ], [ 9, 6, 12, -5 ], 
      [ -78, 9, 65, 12 ] ], 
  [ [ -9, -4, -7, 4 ], [ 52, -9, -52, -7 ], [ -18, 0, 9, 4 ], 
      [ 0, -18, -52, 9 ] ], 
  [ [ -8, -3, -4, 3 ], [ 39, -8, -39, -4 ], [ -15, 0, 7, 3 ], 
      [ 0, -15, -39, 7 ] ], 
  [ [ -7, -3, -4, 3 ], [ 39, -7, -39, -4 ], [ -15, 0, 8, 3 ], 
      [ 0, -15, -39, 8 ] ], 
  [ [ -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 ] ], 
  [ [ 7, 3, 4, -3 ], [ -39, 7, 39, 4 ], [ 15, 0, -8, -3 ], [ 0, 15, 39, -8 ] ]
    , 
  [ [ 8, 3, 4, -3 ], [ -39, 8, 39, 4 ], [ 15, 0, -7, -3 ], [ 0, 15, 39, -7 ] ]
    , 
  [ [ 9, 4, 7, -4 ], [ -52, 9, 52, 7 ], [ 18, 0, -9, -4 ], [ 0, 18, 52, -9 ] ]
    , 
  [ [ 12, -5, -20, 0 ], [ 65, 12, 0, -20 ], [ -9, -6, -12, 5 ], 
      [ 78, -9, -65, -12 ] ], 
  [ [ 21, -1, -13, -4 ], [ 13, 21, 52, -13 ], [ 9, -6, -21, 1 ], 
      [ 78, 9, -13, -21 ] ] ]),TheRotSubgroup:=Group([ [ [ -21, 1, 13, 4 ], [ -13, -21, -52, 13 ], [ -9, 6, 21, -1 ], 
      [ -78, -9, 13, 21 ] ], 
  [ [ -12, 5, 20, 0 ], [ -65, -12, 0, 20 ], [ 9, 6, 12, -5 ], 
      [ -78, 9, 65, 12 ] ], 
  [ [ -9, -4, -7, 4 ], [ 52, -9, -52, -7 ], [ -18, 0, 9, 4 ], 
      [ 0, -18, -52, 9 ] ], 
  [ [ -8, -3, -4, 3 ], [ 39, -8, -39, -4 ], [ -15, 0, 7, 3 ], 
      [ 0, -15, -39, 7 ] ], 
  [ [ -7, -3, -4, 3 ], [ 39, -7, -39, -4 ], [ -15, 0, 8, 3 ], 
      [ 0, -15, -39, 8 ] ], 
  [ [ -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 ] ], 
  [ [ 7, 3, 4, -3 ], [ -39, 7, 39, 4 ], [ 15, 0, -8, -3 ], [ 0, 15, 39, -8 ] ]
    , 
  [ [ 8, 3, 4, -3 ], [ -39, 8, 39, 4 ], [ 15, 0, -7, -3 ], [ 0, 15, 39, -7 ] ]
    , 
  [ [ 9, 4, 7, -4 ], [ -52, 9, 52, 7 ], [ 18, 0, -9, -4 ], [ 0, 18, 52, -9 ] ]
    , 
  [ [ 12, -5, -20, 0 ], [ 65, 12, 0, -20 ], [ -9, -6, -12, 5 ], 
      [ 78, -9, -65, -12 ] ], 
  [ [ 21, -1, -13, -4 ], [ 13, 21, 52, -13 ], [ 9, -6, -21, 1 ], 
      [ 78, 9, -13, -21 ] ] ]),BoundaryImage:=rec(ListIFace:=[  ],ListSign:=[  ],ListElt:=[  ])),rec(TheMatrixStab:=Group([ [ [ -8, -1, 0, 2 ], [ 13, -8, -26, 0 ], [ -8, 2, 8, 1 ], 
      [ -26, -8, -13, 8 ] ], 
  [ [ -3, 2, 6, 0 ], [ -26, -3, 0, 6 ], [ 7, 2, 3, -2 ], [ -26, 7, 26, 3 ] ], 
  [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -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 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ], 
  [ [ 3, -2, -6, 0 ], [ 26, 3, 0, -6 ], [ -7, -2, -3, 2 ], 
      [ 26, -7, -26, -3 ] ], 
  [ [ 8, 1, 0, -2 ], [ -13, 8, 26, 0 ], [ 8, -2, -8, -1 ], [ 26, 8, 13, -8 ] 
     ] ]),TheRotSubgroup:=Group([ [ [ -8, -1, 0, 2 ], [ 13, -8, -26, 0 ], [ -8, 2, 8, 1 ], 
      [ -26, -8, -13, 8 ] ], 
  [ [ -3, 2, 6, 0 ], [ -26, -3, 0, 6 ], [ 7, 2, 3, -2 ], [ -26, 7, 26, 3 ] ], 
  [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -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 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ], 
  [ [ 3, -2, -6, 0 ], [ 26, 3, 0, -6 ], [ -7, -2, -3, 2 ], 
      [ 26, -7, -26, -3 ] ], 
  [ [ 8, 1, 0, -2 ], [ -13, 8, 26, 0 ], [ 8, -2, -8, -1 ], [ 26, 8, 13, -8 ] 
     ] ]),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:=[ 1, 2 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ 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, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ], 
  [ [ -21, 1, 13, 4 ], [ -13, -21, -52, 13 ], [ -9, 6, 21, -1 ], 
      [ -78, -9, 13, 21 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -25, -4, 0, 8 ], [ 52, -25, -104, 0 ], [ -25, 4, 25, 4 ], 
      [ -52, -25, -52, 25 ] ], 
  [ [ -25, 4, 25, 4 ], [ -52, -25, -52, 25 ], [ 0, 8, 25, -4 ], 
      [ -104, 0, 52, 25 ] ], 
  [ [ -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, -8, -25, 4 ], [ 104, 0, -52, -25 ], [ -25, -4, 0, 8 ], 
      [ 52, -25, -104, 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 ] ], 
  [ [ 0, 8, 25, -4 ], [ -104, 0, 52, 25 ], [ 25, 4, 0, -8 ], 
      [ -52, 25, 104, 0 ] ], 
  [ [ 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 ] ], 
  [ [ 25, -4, -25, -4 ], [ 52, 25, 52, -25 ], [ 0, -8, -25, 4 ], 
      [ 104, 0, -52, -25 ] ], 
  [ [ 25, 4, 0, -8 ], [ -52, 25, 104, 0 ], [ 25, -4, -25, -4 ], 
      [ 52, 25, 52, -25 ] ] ]),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, 1 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -2, 1, -2, -1 ], [ -13, -2, 13, -2 ], [ 2, 1, -4, 0 ], 
      [ -13, 2, 0, -4 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ] ])),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, 2 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 6, -3, -11, 0 ], [ 39, 6, 0, -11 ], [ -8, -3, -5, 3 ], 
      [ 39, -8, -39, -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:=[ 2, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 12, -3, -15, -1 ], [ 39, 12, 13, -15 ], [ -6, -5, -11, 4 ], 
      [ 65, -6, -52, -11 ] ] ])),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:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 3, -2, -6, 0 ], [ 26, 3, 0, -6 ], [ -7, -2, -3, 2 ], 
      [ 26, -7, -26, -3 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -125, -18, 12, 36 ], [ 234, -125, -468, 12 ], [ -132, 21, 125, 18 ], 
      [ -273, -132, -234, 125 ] ], 
  [ [ -118, 21, 118, 15 ], [ -273, -118, -195, 118 ], [ 0, 42, 118, -21 ], 
      [ -546, 0, 273, 118 ] ], 
  [ [ -8, -3, -4, 3 ], [ 39, -8, -39, -4 ], [ -15, 0, 7, 3 ], 
      [ 0, -15, -39, 7 ] ], 
  [ [ -7, -39, -106, 21 ], [ 507, -7, -273, -106 ], [ -132, -21, 7, 39 ], 
      [ 273, -132, -507, 7 ] ], 
  [ [ -7, -3, -4, 3 ], [ 39, -7, -39, -4 ], [ -15, 0, 8, 3 ], 
      [ 0, -15, -39, 8 ] ], 
  [ [ -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 ] ], 
  [ [ 7, 3, 4, -3 ], [ -39, 7, 39, 4 ], [ 15, 0, -8, -3 ], [ 0, 15, 39, -8 ] ]
    , [ [ 7, 39, 106, -21 ], [ -507, 7, 273, 106 ], [ 132, 21, -7, -39 ], 
      [ -273, 132, 507, -7 ] ], 
  [ [ 8, 3, 4, -3 ], [ -39, 8, 39, 4 ], [ 15, 0, -7, -3 ], [ 0, 15, 39, -7 ] ]
    , 
  [ [ 118, -21, -118, -15 ], [ 273, 118, 195, -118 ], [ 0, -42, -118, 21 ], 
      [ 546, 0, -273, -118 ] ], 
  [ [ 125, 18, -12, -36 ], [ -234, 125, 468, -12 ], [ 132, -21, -125, -18 ], 
      [ 273, 132, 234, -125 ] ] ]),TheRotSubgroup:=Group([ [ [ -8, -3, -4, 3 ], [ 39, -8, -39, -4 ], [ -15, 0, 7, 3 ], 
      [ 0, -15, -39, 7 ] ], 
  [ [ -7, -3, -4, 3 ], [ 39, -7, -39, -4 ], [ -15, 0, 8, 3 ], 
      [ 0, -15, -39, 8 ] ], 
  [ [ -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 ] ], 
  [ [ 7, 3, 4, -3 ], [ -39, 7, 39, 4 ], [ 15, 0, -8, -3 ], [ 0, 15, 39, -8 ] ]
    , 
  [ [ 8, 3, 4, -3 ], [ -39, 8, 39, 4 ], [ 15, 0, -7, -3 ], [ 0, 15, 39, -7 ] 
     ] ]),BoundaryImage:=rec(ListIFace:=[ 3, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -125, -18, 12, 36 ], [ 234, -125, -468, 12 ], [ -132, 21, 125, 18 ], 
      [ -273, -132, -234, 125 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -11, 2, 9, 2 ], [ -26, -11, -26, 9 ], [ 4, 4, 11, -2 ], 
      [ -52, 4, 26, 11 ] ], 
  [ [ -10, -3, -6, 3 ], [ 39, -10, -39, -6 ], [ -16, 2, 10, 3 ], 
      [ -26, -16, -39, 10 ] ], 
  [ [ -8, -1, 0, 2 ], [ 13, -8, -26, 0 ], [ -8, 2, 8, 1 ], 
      [ -26, -8, -13, 8 ] ], 
  [ [ -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 ] ], 
  [ [ 8, 1, 0, -2 ], [ -13, 8, 26, 0 ], [ 8, -2, -8, -1 ], [ 26, 8, 13, -8 ] ]
    , 
  [ [ 10, 3, 6, -3 ], [ -39, 10, 39, 6 ], [ 16, -2, -10, -3 ], 
      [ 26, 16, 39, -10 ] ], 
  [ [ 11, -2, -9, -2 ], [ 26, 11, 26, -9 ], [ -4, -4, -11, 2 ], 
      [ 52, -4, -26, -11 ] ] ]),TheRotSubgroup:=Group([ [ [ -8, -1, 0, 2 ], [ 13, -8, -26, 0 ], [ -8, 2, 8, 1 ], 
      [ -26, -8, -13, 8 ] ], 
  [ [ -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 ] ], 
  [ [ 8, 1, 0, -2 ], [ -13, 8, 26, 0 ], [ 8, -2, -8, -1 ], [ 26, 8, 13, -8 ] 
     ] ]),BoundaryImage:=rec(ListIFace:=[ 4, 4 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -8, 4, 13, 0 ], [ -52, -8, 0, 13 ], [ 13, 4, 5, -4 ], 
      [ -52, 13, 52, 5 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ] ]))],[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, 5, 2 ],ListSign:=[ 1, 1, 1, -1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 5, -3, -11, 0 ], [ 39, 5, 0, -11 ], [ -8, -3, -6, 3 ], 
      [ 39, -8, -39, -6 ] ], 
  [ [ 5, -3, -11, 0 ], [ 39, 5, 0, -11 ], [ -8, -3, -6, 3 ], 
      [ 39, -8, -39, -6 ] ], 
  [ [ 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, 4, 2, 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 ] ], 
  [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 1 ], [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ] ], 
  [ [ 6, -3, -11, 0 ], [ 39, 6, 0, -11 ], [ -8, -3, -5, 3 ], 
      [ 39, -8, -39, -5 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -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 ] ], 
  [ [ 2, -1, -4, 0 ], [ 13, 2, 0, -4 ], [ -2, -1, -2, 1 ], 
      [ 13, -2, -13, -2 ] ] ]),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, 6, 1, 6 ],ListSign:=[ 1, 1, -1, -1 ],ListElt:=[ [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -2, 1, 4, 0 ], [ -13, -2, 0, 4 ], [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ] ], 
  [ [ -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([ [ [ -25, 4, 25, 4 ], [ -52, -25, -52, 25 ], [ 0, 8, 25, -4 ], 
      [ -104, 0, 52, 25 ] ], 
  [ [ -17, -8, -16, 8 ], [ 104, -17, -104, -16 ], [ -34, 0, 17, 8 ], 
      [ 0, -34, -104, 17 ] ], 
  [ [ -9, -4, -7, 4 ], [ 52, -9, -52, -7 ], [ -18, 0, 9, 4 ], 
      [ 0, -18, -52, 9 ] ], 
  [ [ -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 ] ], 
  [ [ 9, 4, 7, -4 ], [ -52, 9, 52, 7 ], [ 18, 0, -9, -4 ], [ 0, 18, 52, -9 ] ]
    , [ [ 17, 8, 16, -8 ], [ -104, 17, 104, 16 ], [ 34, 0, -17, -8 ], 
      [ 0, 34, 104, -17 ] ], 
  [ [ 25, -4, -25, -4 ], [ 52, 25, 52, -25 ], [ 0, -8, -25, 4 ], 
      [ 104, 0, -52, -25 ] ] ]),TheRotSubgroup:=Group([ [ [ -17, -8, -16, 8 ], [ 104, -17, -104, -16 ], [ -34, 0, 17, 8 ], 
      [ 0, -34, -104, 17 ] ], 
  [ [ -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 ] ], 
  [ [ 17, 8, 16, -8 ], [ -104, 17, 104, 16 ], [ 34, 0, -17, -8 ], 
      [ 0, 34, 104, -17 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 2, 3, 2, 3, 2 ],ListSign:=[ 1, -1, 1, -1, 1, 1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ -9, -4, -7, 4 ], [ 52, -9, -52, -7 ], [ -18, 0, 9, 4 ], 
      [ 0, -18, -52, 9 ] ], 
  [ [ 1, 0, -1, 0 ], [ 0, 1, 0, -1 ], [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ] ], 
  [ [ 25, -4, -25, -4 ], [ 52, 25, 52, -25 ], [ 0, -8, -25, 4 ], 
      [ 104, 0, -52, -25 ] ], 
  [ [ 17, 8, 16, -8 ], [ -104, 17, 104, 16 ], [ 34, 0, -17, -8 ], 
      [ 0, 34, 104, -17 ] ], 
  [ [ 17, 8, 16, -8 ], [ -104, 17, 104, 16 ], [ 34, 0, -17, -8 ], 
      [ 0, 34, 104, -17 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -14, 3, 14, 1 ], [ -39, -14, -13, 14 ], [ 0, 6, 14, -3 ], 
      [ -78, 0, 39, 14 ] ], 
  [ [ -11, -4, -4, 4 ], [ 52, -11, -52, -4 ], [ -22, 0, 11, 4 ], 
      [ 0, -22, -52, 11 ] ], 
  [ [ -2, -1, -2, 1 ], [ 13, -2, -13, -2 ], [ -4, 0, 2, 1 ], 
      [ 0, -4, -13, 2 ] ], 
  [ [ -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 ] ], 
  [ [ 2, 1, 2, -1 ], [ -13, 2, 13, 2 ], [ 4, 0, -2, -1 ], [ 0, 4, 13, -2 ] ], 
  [ [ 11, 4, 4, -4 ], [ -52, 11, 52, 4 ], [ 22, 0, -11, -4 ], 
      [ 0, 22, 52, -11 ] ], 
  [ [ 14, -3, -14, -1 ], [ 39, 14, 13, -14 ], [ 0, -6, -14, 3 ], 
      [ 78, 0, -39, -14 ] ] ]),TheRotSubgroup:=Group([ [ [ -11, -4, -4, 4 ], [ 52, -11, -52, -4 ], [ -22, 0, 11, 4 ], 
      [ 0, -22, -52, 11 ] ], 
  [ [ -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 ] ], 
  [ [ 11, 4, 4, -4 ], [ -52, 11, 52, 4 ], [ 22, 0, -11, -4 ], 
      [ 0, 22, 52, -11 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 7, 2, 2, 2, 7 ],ListSign:=[ 1, -1, -1, 1, -1, -1 ],ListElt:=[ [ [ -2, -1, -2, 1 ], [ 13, -2, -13, -2 ], [ -4, 0, 2, 1 ], 
      [ 0, -4, -13, 2 ] ], 
  [ [ 44, 5, -8, -12 ], [ -65, 44, 156, -8 ], [ 51, -8, -48, -7 ], 
      [ 104, 51, 91, -48 ] ], 
  [ [ -11, -4, -4, 4 ], [ 52, -11, -52, -4 ], [ -22, 0, 11, 4 ], 
      [ 0, -22, -52, 11 ] ], 
  [ [ -14, 3, 14, 1 ], [ -39, -14, -13, 14 ], [ 0, 6, 14, -3 ], 
      [ -78, 0, 39, 14 ] ], 
  [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -21, 1, 13, 4 ], [ -13, -21, -52, 13 ], [ -9, 6, 21, -1 ], 
      [ -78, -9, 13, 21 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -27, -4, 0, 8 ], [ 52, -27, -104, 0 ], [ -27, 5, 27, 4 ], 
      [ -65, -27, -52, 27 ] ], 
  [ [ -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 ] ], 
  [ [ 27, 4, 0, -8 ], [ -52, 27, 104, 0 ], [ 27, -5, -27, -4 ], 
      [ 65, 27, 52, -27 ] ] ]),TheRotSubgroup:=Group([ [ [ -27, -4, 0, 8 ], [ 52, -27, -104, 0 ], [ -27, 5, 27, 4 ], 
      [ -65, -27, -52, 27 ] ], 
  [ [ -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 ] ], 
  [ [ 27, 4, 0, -8 ], [ -52, 27, 104, 0 ], [ 27, -5, -27, -4 ], 
      [ 65, 27, 52, -27 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 4, 4, 6, 8, 6, 6, 4, 4, 6, 8 ],ListSign:=[ 1, 1, 1, -1, -1, -1, 1, 1, 1, -1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ], 
  [ [ -5, 3, 11, 0 ], [ -39, -5, 0, 11 ], [ 8, 3, 6, -3 ], [ -39, 8, 39, 6 ] ]
    , 
  [ [ -5, 3, 11, 0 ], [ -39, -5, 0, 11 ], [ 8, 3, 6, -3 ], [ -39, 8, 39, 6 ] ]
    , 
  [ [ -5, 3, 11, 0 ], [ -39, -5, 0, 11 ], [ 8, 3, 6, -3 ], [ -39, 8, 39, 6 ] ]
    , 
  [ [ -6, -7, -15, 4 ], [ 91, -6, -52, -15 ], [ -27, -2, 6, 6 ], 
      [ 26, -27, -78, 6 ] ], 
  [ [ -6, 3, 11, 0 ], [ -39, -6, 0, 11 ], [ 8, 3, 5, -3 ], [ -39, 8, 39, 5 ] ]
    , 
  [ [ -27, -4, 0, 8 ], [ 52, -27, -104, 0 ], [ -27, 5, 27, 4 ], 
      [ -65, -27, -52, 27 ] ], 
  [ [ -21, 3, 15, 4 ], [ -39, -21, -52, 15 ], [ 0, 7, 21, -2 ], 
      [ -91, 0, 26, 21 ] ], 
  [ [ 21, -3, -15, -4 ], [ 39, 21, 52, -15 ], [ 0, -7, -21, 2 ], 
      [ 91, 0, -26, -21 ] ], 
  [ [ 21, -3, -15, -4 ], [ 39, 21, 52, -15 ], [ 0, -7, -21, 2 ], 
      [ 91, 0, -26, -21 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -3, 2, 6, 0 ], [ -26, -3, 0, 6 ], [ 7, 2, 3, -2 ], [ -26, 7, 26, 3 ] ], 
  [ [ -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 ] ], 
  [ [ 3, -2, -6, 0 ], [ 26, 3, 0, -6 ], [ -7, -2, -3, 2 ], 
      [ 26, -7, -26, -3 ] ] ]),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, 6, 5, 6 ],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 ] ], 
  [ [ -3, 2, 6, 0 ], [ -26, -3, 0, 6 ], [ 7, 2, 3, -2 ], [ -26, 7, 26, 3 ] ], 
  [ [ -3, 2, 6, 0 ], [ -26, -3, 0, 6 ], [ 7, 2, 3, -2 ], [ -26, 7, 26, 3 ] ] ]))]];
Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.

Product

Resources

Company

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

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