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.
| Download
GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418425HAP_GCOMPLEX_SETUP:=[false];
HAP_GCOMPLEX_LIST:=[[rec(TheMatrixStab:=Group([ [ [ -3, 0, 1, 1 ], [ 0, -3, -6, 1 ], [ -1, 1, 2, 0 ], [ -6, -1, 0, 2 ] ],
[ [ -3, 0, 2, 1 ], [ 0, -3, -6, 2 ], [ -2, 1, 3, 0 ], [ -6, -2, 0, 3 ] ],
[ [ -2, -1, -1, 1 ], [ 6, -2, -6, -1 ], [ -3, 0, 1, 1 ], [ 0, -3, -6, 1 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -6, 1 ], [ -1, 1, 3, 0 ], [ -6, -1, 0, 3 ] ],
[ [ -2, 1, 3, 0 ], [ -6, -2, 0, 3 ], [ 1, 1, 1, -1 ], [ -6, 1, 6, 1 ] ],
[ [ -1, -1, -2, 1 ], [ 6, -1, -6, -2 ], [ -2, 0, 1, 1 ], [ 0, -2, -6, 1 ] ],
[ [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ], [ -3, 0, 2, 1 ], [ 0, -3, -6, 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 ] ],
[ [ -1, 1, 2, 0 ], [ -6, -1, 0, 2 ], [ 2, 1, 1, -1 ], [ -6, 2, 6, 1 ] ],
[ [ -1, 1, 3, 0 ], [ -6, -1, 0, 3 ], [ 1, 1, 2, -1 ], [ -6, 1, 6, 2 ] ],
[ [ 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, -1, -3, 0 ], [ 6, 1, 0, -3 ], [ -1, -1, -2, 1 ], [ 6, -1, -6, -2 ] ],
[ [ 1, -1, -2, 0 ], [ 6, 1, 0, -2 ], [ -2, -1, -1, 1 ], [ 6, -2, -6, -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 ] ],
[ [ 1, 1, 1, -1 ], [ -6, 1, 6, 1 ], [ 3, 0, -2, -1 ], [ 0, 3, 6, -2 ] ],
[ [ 1, 1, 2, -1 ], [ -6, 1, 6, 2 ], [ 2, 0, -1, -1 ], [ 0, 2, 6, -1 ] ],
[ [ 2, -1, -3, 0 ], [ 6, 2, 0, -3 ], [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 6, -1 ], [ 1, -1, -3, 0 ], [ 6, 1, 0, -3 ] ],
[ [ 2, 1, 1, -1 ], [ -6, 2, 6, 1 ], [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ] ],
[ [ 3, 0, -2, -1 ], [ 0, 3, 6, -2 ], [ 2, -1, -3, 0 ], [ 6, 2, 0, -3 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ], [ 1, -1, -2, 0 ], [ 6, 1, 0, -2 ] ] ]),TheRotSubgroup:=Group([ [ [ -3, 0, 1, 1 ], [ 0, -3, -6, 1 ], [ -1, 1, 2, 0 ], [ -6, -1, 0, 2 ] ],
[ [ -3, 0, 2, 1 ], [ 0, -3, -6, 2 ], [ -2, 1, 3, 0 ], [ -6, -2, 0, 3 ] ],
[ [ -2, -1, -1, 1 ], [ 6, -2, -6, -1 ], [ -3, 0, 1, 1 ], [ 0, -3, -6, 1 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -6, 1 ], [ -1, 1, 3, 0 ], [ -6, -1, 0, 3 ] ],
[ [ -2, 1, 3, 0 ], [ -6, -2, 0, 3 ], [ 1, 1, 1, -1 ], [ -6, 1, 6, 1 ] ],
[ [ -1, -1, -2, 1 ], [ 6, -1, -6, -2 ], [ -2, 0, 1, 1 ], [ 0, -2, -6, 1 ] ],
[ [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ], [ -3, 0, 2, 1 ], [ 0, -3, -6, 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 ] ],
[ [ -1, 1, 2, 0 ], [ -6, -1, 0, 2 ], [ 2, 1, 1, -1 ], [ -6, 2, 6, 1 ] ],
[ [ -1, 1, 3, 0 ], [ -6, -1, 0, 3 ], [ 1, 1, 2, -1 ], [ -6, 1, 6, 2 ] ],
[ [ 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, -1, -3, 0 ], [ 6, 1, 0, -3 ], [ -1, -1, -2, 1 ], [ 6, -1, -6, -2 ] ],
[ [ 1, -1, -2, 0 ], [ 6, 1, 0, -2 ], [ -2, -1, -1, 1 ], [ 6, -2, -6, -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 ] ],
[ [ 1, 1, 1, -1 ], [ -6, 1, 6, 1 ], [ 3, 0, -2, -1 ], [ 0, 3, 6, -2 ] ],
[ [ 1, 1, 2, -1 ], [ -6, 1, 6, 2 ], [ 2, 0, -1, -1 ], [ 0, 2, 6, -1 ] ],
[ [ 2, -1, -3, 0 ], [ 6, 2, 0, -3 ], [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 6, -1 ], [ 1, -1, -3, 0 ], [ 6, 1, 0, -3 ] ],
[ [ 2, 1, 1, -1 ], [ -6, 2, 6, 1 ], [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ] ],
[ [ 3, 0, -2, -1 ], [ 0, 3, 6, -2 ], [ 2, -1, -3, 0 ], [ 6, 2, 0, -3 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ], [ 1, -1, -2, 0 ], [ 6, 1, 0, -2 ] ] ]),BoundaryImage:=rec(ListIFace:=[ ],ListSign:=[ ],ListElt:=[ ]))],[rec(TheMatrixStab:=Group([ [ [ -17, -4, 0, 8 ], [ 24, -17, -48, 0 ], [ -17, 4, 17, 4 ],
[ -24, -17, -24, 17 ] ],
[ [ -17, 4, 17, 4 ], [ -24, -17, -24, 17 ], [ 0, 8, 17, -4 ],
[ -48, 0, 24, 17 ] ],
[ [ -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, -17, 4 ], [ 48, 0, -24, -17 ], [ -17, -4, 0, 8 ],
[ 24, -17, -48, 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, 17, -4 ], [ -48, 0, 24, 17 ], [ 17, 4, 0, -8 ],
[ -24, 17, 48, 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 ] ],
[ [ 17, -4, -17, -4 ], [ 24, 17, 24, -17 ], [ 0, -8, -17, 4 ],
[ 48, 0, -24, -17 ] ],
[ [ 17, 4, 0, -8 ], [ -24, 17, 48, 0 ], [ 17, -4, -17, -4 ],
[ 24, 17, 24, -17 ] ] ]),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:=[ [ [ -1, 1, 3, 0 ], [ -6, -1, 0, 3 ], [ 1, 1, 2, -1 ], [ -6, 1, 6, 2 ] ],
[ [ 3, 4, 7, -5 ], [ -24, 3, 30, 7 ], [ 10, 1, -7, -5 ], [ -6, 10, 30, -7 ]
] ])),rec(TheMatrixStab:=Group([ [ [ -11, 2, 11, 4 ], [ -12, -11, -24, 11 ], [ 0, 4, 11, -2 ],
[ -24, 0, 12, 11 ] ],
[ [ -10, -3, -3, 6 ], [ 18, -10, -36, -3 ], [ -9, 2, 10, 3 ],
[ -12, -9, -18, 10 ] ],
[ [ -2, -1, -1, 1 ], [ 6, -2, -6, -1 ], [ -3, 0, 1, 1 ], [ 0, -3, -6, 1 ] ],
[ [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ], [ -3, 0, 2, 1 ], [ 0, -3, -6, 2 ] ],
[ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ],
[ [ -1, 5, 14, -2 ], [ -30, -1, 12, 14 ], [ 9, 2, 1, -5 ],
[ -12, 9, 30, 1 ] ],
[ [ 1, -5, -14, 2 ], [ 30, 1, -12, -14 ], [ -9, -2, -1, 5 ],
[ 12, -9, -30, -1 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, -1 ], [ -6, 1, 6, 1 ], [ 3, 0, -2, -1 ], [ 0, 3, 6, -2 ] ],
[ [ 2, 1, 1, -1 ], [ -6, 2, 6, 1 ], [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ] ],
[ [ 10, 3, 3, -6 ], [ -18, 10, 36, 3 ], [ 9, -2, -10, -3 ],
[ 12, 9, 18, -10 ] ],
[ [ 11, -2, -11, -4 ], [ 12, 11, 24, -11 ], [ 0, -4, -11, 2 ],
[ 24, 0, -12, -11 ] ] ]),TheRotSubgroup:=Group([ [ [ -2, -1, -1, 1 ], [ 6, -2, -6, -1 ], [ -3, 0, 1, 1 ], [ 0, -3, -6, 1 ] ],
[ [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ], [ -3, 0, 2, 1 ], [ 0, -3, -6, 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 ] ],
[ [ 1, 1, 1, -1 ], [ -6, 1, 6, 1 ], [ 3, 0, -2, -1 ], [ 0, 3, 6, -2 ] ],
[ [ 2, 1, 1, -1 ], [ -6, 2, 6, 1 ], [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 1 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -1, -1, 3, 0 ], [ 6, -1, 0, 3 ], [ -2, 0, 1, -1 ], [ 0, -2, 6, 1 ] ],
[ [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ], [ -3, 0, 2, 1 ], [ 0, -3, -6, 2 ] ]
])),rec(TheMatrixStab:=Group([ [ [ -5, -4, -7, 4 ], [ 24, -5, -24, -7 ], [ -10, 0, 5, 4 ],
[ 0, -10, -24, 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, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -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, 1 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 5, -1, -3, 0 ], [ 6, 5, 0, -3 ], [ 0, -2, -1, 1 ], [ 12, 0, -6, -1 ] ],
[ [ -1, -1, -1, 1 ], [ 6, -1, -6, -1 ], [ -3, 0, 2, 1 ], [ 0, -3, -6, 2 ] ]
])),rec(TheMatrixStab:=Group([ [ [ -7, 2, 7, 1 ], [ -12, -7, -6, 7 ], [ 0, 4, 7, -2 ], [ -24, 0, 12, 7 ] ],
[ [ -5, -3, -3, 3 ], [ 18, -5, -18, -3 ], [ -10, 0, 5, 3 ],
[ 0, -10, -18, 5 ] ],
[ [ -1, -1, -2, 1 ], [ 6, -1, -6, -2 ], [ -2, 0, 1, 1 ], [ 0, -2, -6, 1 ] ],
[ [ -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, 1, 2, -1 ], [ -6, 1, 6, 2 ], [ 2, 0, -1, -1 ], [ 0, 2, 6, -1 ] ],
[ [ 5, 3, 3, -3 ], [ -18, 5, 18, 3 ], [ 10, 0, -5, -3 ], [ 0, 10, 18, -5 ] ]
,
[ [ 7, -2, -7, -1 ], [ 12, 7, 6, -7 ], [ 0, -4, -7, 2 ], [ 24, 0, -12, -7 ]
] ]),TheRotSubgroup:=Group([ [ [ -1, -1, -2, 1 ], [ 6, -1, -6, -2 ], [ -2, 0, 1, 1 ], [ 0, -2, -6, 1 ] ],
[ [ -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, 1, 2, -1 ], [ -6, 1, 6, 2 ], [ 2, 0, -1, -1 ], [ 0, 2, 6, -1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 1 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ 7, -2, -7, -1 ], [ 12, 7, 6, -7 ], [ 0, -4, -7, 2 ], [ 24, 0, -12, -7 ]
],
[ [ 3, 0, -1, -1 ], [ 0, 3, 6, -1 ], [ 1, -1, -2, 0 ], [ 6, 1, 0, -2 ] ] ]))],[rec(TheMatrixStab:=Group([ [ [ -17, 4, 17, 4 ], [ -24, -17, -24, 17 ], [ 0, 8, 17, -4 ],
[ -48, 0, 24, 17 ] ],
[ [ -11, -8, -12, 8 ], [ 48, -11, -48, -12 ], [ -22, 0, 11, 8 ],
[ 0, -22, -48, 11 ] ],
[ [ -5, -4, -7, 4 ], [ 24, -5, -24, -7 ], [ -10, 0, 5, 4 ],
[ 0, -10, -24, 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, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ] ]
,
[ [ 11, 8, 12, -8 ], [ -48, 11, 48, 12 ], [ 22, 0, -11, -8 ],
[ 0, 22, 48, -11 ] ],
[ [ 17, -4, -17, -4 ], [ 24, 17, 24, -17 ], [ 0, -8, -17, 4 ],
[ 48, 0, -24, -17 ] ] ]),TheRotSubgroup:=Group([ [ [ -11, -8, -12, 8 ], [ 48, -11, -48, -12 ], [ -22, 0, 11, 8 ],
[ 0, -22, -48, 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, 8, 12, -8 ], [ -48, 11, 48, 12 ], [ 22, 0, -11, -8 ],
[ 0, 22, 48, -11 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 3, 3, 1 ],ListSign:=[ 1, -1, 1, -1 ],ListElt:=[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 5, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ] ]
,
[ [ 11, 8, 12, -8 ], [ -48, 11, 48, 12 ], [ 22, 0, -11, -8 ],
[ 0, 22, 48, -11 ] ],
[ [ 5, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ]
] ])),rec(TheMatrixStab:=Group([ [ [ -11, 2, 11, 4 ], [ -12, -11, -24, 11 ], [ 0, 4, 11, -2 ],
[ -24, 0, 12, 11 ] ],
[ [ -7, -6, -12, 6 ], [ 36, -7, -36, -12 ], [ -14, 0, 7, 6 ],
[ 0, -14, -36, 7 ] ],
[ [ -5, -4, -7, 4 ], [ 24, -5, -24, -7 ], [ -10, 0, 5, 4 ],
[ 0, -10, -24, 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, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ] ]
,
[ [ 7, 6, 12, -6 ], [ -36, 7, 36, 12 ], [ 14, 0, -7, -6 ],
[ 0, 14, 36, -7 ] ],
[ [ 11, -2, -11, -4 ], [ 12, 11, 24, -11 ], [ 0, -4, -11, 2 ],
[ 24, 0, -12, -11 ] ] ]),TheRotSubgroup:=Group([ [ [ -7, -6, -12, 6 ], [ 36, -7, -36, -12 ], [ -14, 0, 7, 6 ],
[ 0, -14, -36, 7 ] ],
[ [ -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, 6, 12, -6 ], [ -36, 7, 36, 12 ], [ 14, 0, -7, -6 ],
[ 0, 14, 36, -7 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 3, 2, 3 ],ListSign:=[ 1, -1, -1, 1 ],ListElt:=[ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ],
[ [ -7, -6, -12, 6 ], [ 36, -7, -36, -12 ], [ -14, 0, 7, 6 ],
[ 0, -14, -36, 7 ] ],
[ [ 5, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ] ]
,
[ [ 5, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ]
] ])),rec(TheMatrixStab:=Group([ [ [ -13, 2, 12, 4 ], [ -12, -13, -24, 12 ], [ -2, 5, 13, -2 ],
[ -30, -2, 12, 13 ] ],
[ [ -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 ] ],
[ [ 13, -2, -12, -4 ], [ 12, 13, 24, -12 ], [ 2, -5, -13, 2 ],
[ 30, 2, -12, -13 ] ] ]),TheRotSubgroup:=Group([ [ [ -13, 2, 12, 4 ], [ -12, -13, -24, 12 ], [ -2, 5, 13, -2 ],
[ -30, -2, 12, 13 ] ],
[ [ -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 ] ],
[ [ 13, -2, -12, -4 ], [ 12, 13, 24, -12 ], [ 2, -5, -13, 2 ],
[ 30, 2, -12, -13 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 3, 4, 3, 4 ],ListSign:=[ 1, -1, 1, 1 ],ListElt:=[ [ [ 5, 4, 7, -4 ], [ -24, 5, 24, 7 ], [ 10, 0, -5, -4 ], [ 0, 10, 24, -5 ] ]
,
[ [ 0, 4, 7, -2 ], [ -24, 0, 12, 7 ], [ 7, 2, 0, -3 ], [ -12, 7, 18, 0 ] ],
[ [ -7, 2, 7, 2 ], [ -12, -7, -12, 7 ], [ 0, 3, 7, -1 ], [ -18, 0, 6, 7 ] ],
[ [ 10, -4, -11, -1 ], [ 24, 10, 6, -11 ], [ -3, -5, -7, 3 ],
[ 30, -3, -18, -7 ] ] ]))]];