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: 418386HAP_GCOMPLEX_SETUP:=[false];
HAP_GCOMPLEX_LIST:=[[rec(TheMatrixStab:=Group([ [ [ -4, 0, 2, 1 ], [ 0, -4, -5, 4 ], [ -4, 1, 3, 0 ], [ -5, -2, 0, 3 ] ],
[ [ -3, -1, 0, 2 ], [ 10, -3, -10, 0 ], [ -6, 0, 3, 2 ], [ 0, -3, -5, 3 ] ],
[ [ -3, 0, 1, 1 ], [ 0, -3, -5, 2 ], [ -2, 1, 2, 0 ], [ -5, -1, 0, 2 ] ],
[ [ -3, 0, 2, 1 ], [ 0, -3, -5, 4 ], [ -4, 1, 4, 0 ], [ -5, -2, 0, 4 ] ],
[ [ -3, 1, 3, 0 ], [ -10, -3, 0, 6 ], [ 0, 2, 3, -2 ], [ -10, 0, 5, 3 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 3 ] ],
[ [ -1, -1, -1, 1 ], [ 10, -1, -5, -2 ], [ -4, -1, 0, 2 ], [ 5, -2, -5, 0 ]
], [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ]
, [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 2 ], [ -2, 0, 1, 0 ], [ 0, -1, 0, 1 ] ],
[ [ -1, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ 0, -1, -2, 1 ], [ 10, 0, -5, -4 ], [ -2, -1, -1, 2 ], [ 5, -1, -5, -1 ]
],
[ [ 0, -1, -1, 1 ], [ 10, 0, -5, -2 ], [ -4, -1, 1, 2 ], [ 5, -2, -5, 1 ] ],
[ [ 0, 1, 1, -1 ], [ -10, 0, 5, 2 ], [ 4, 1, -1, -2 ], [ -5, 2, 5, -1 ] ],
[ [ 0, 1, 2, -1 ], [ -10, 0, 5, 4 ], [ 2, 1, 1, -2 ], [ -5, 1, 5, 1 ] ],
[ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 0 ] ],
[ [ 1, 0, -1, 0 ], [ 0, 1, 0, -2 ], [ 2, 0, -1, 0 ], [ 0, 1, 0, -1 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, -1 ], [ -10, 1, 5, 2 ], [ 4, 1, 0, -2 ], [ -5, 2, 5, 0 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 3, -1, -3, 0 ], [ 10, 3, 0, -6 ], [ 0, -2, -3, 2 ], [ 10, 0, -5, -3 ] ],
[ [ 3, 0, -2, -1 ], [ 0, 3, 5, -4 ], [ 4, -1, -4, 0 ], [ 5, 2, 0, -4 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 5, -2 ], [ 2, -1, -2, 0 ], [ 5, 1, 0, -2 ] ],
[ [ 3, 1, 0, -2 ], [ -10, 3, 10, 0 ], [ 6, 0, -3, -2 ], [ 0, 3, 5, -3 ] ],
[ [ 4, 0, -2, -1 ], [ 0, 4, 5, -4 ], [ 4, -1, -3, 0 ], [ 5, 2, 0, -3 ] ] ]),TheRotSubgroup:=Group([ [ [ -4, 0, 2, 1 ], [ 0, -4, -5, 4 ], [ -4, 1, 3, 0 ], [ -5, -2, 0, 3 ] ],
[ [ -3, -1, 0, 2 ], [ 10, -3, -10, 0 ], [ -6, 0, 3, 2 ], [ 0, -3, -5, 3 ] ],
[ [ -3, 0, 1, 1 ], [ 0, -3, -5, 2 ], [ -2, 1, 2, 0 ], [ -5, -1, 0, 2 ] ],
[ [ -3, 0, 2, 1 ], [ 0, -3, -5, 4 ], [ -4, 1, 4, 0 ], [ -5, -2, 0, 4 ] ],
[ [ -3, 1, 3, 0 ], [ -10, -3, 0, 6 ], [ 0, 2, 3, -2 ], [ -10, 0, 5, 3 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 3 ] ],
[ [ -1, -1, -1, 1 ], [ 10, -1, -5, -2 ], [ -4, -1, 0, 2 ], [ 5, -2, -5, 0 ]
], [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ]
, [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 2 ], [ -2, 0, 1, 0 ], [ 0, -1, 0, 1 ] ],
[ [ -1, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ 0, -1, -2, 1 ], [ 10, 0, -5, -4 ], [ -2, -1, -1, 2 ], [ 5, -1, -5, -1 ]
],
[ [ 0, -1, -1, 1 ], [ 10, 0, -5, -2 ], [ -4, -1, 1, 2 ], [ 5, -2, -5, 1 ] ],
[ [ 0, 1, 1, -1 ], [ -10, 0, 5, 2 ], [ 4, 1, -1, -2 ], [ -5, 2, 5, -1 ] ],
[ [ 0, 1, 2, -1 ], [ -10, 0, 5, 4 ], [ 2, 1, 1, -2 ], [ -5, 1, 5, 1 ] ],
[ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 0 ] ],
[ [ 1, 0, -1, 0 ], [ 0, 1, 0, -2 ], [ 2, 0, -1, 0 ], [ 0, 1, 0, -1 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, -1 ], [ -10, 1, 5, 2 ], [ 4, 1, 0, -2 ], [ -5, 2, 5, 0 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 3, -1, -3, 0 ], [ 10, 3, 0, -6 ], [ 0, -2, -3, 2 ], [ 10, 0, -5, -3 ] ],
[ [ 3, 0, -2, -1 ], [ 0, 3, 5, -4 ], [ 4, -1, -4, 0 ], [ 5, 2, 0, -4 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 5, -2 ], [ 2, -1, -2, 0 ], [ 5, 1, 0, -2 ] ],
[ [ 3, 1, 0, -2 ], [ -10, 3, 10, 0 ], [ 6, 0, -3, -2 ], [ 0, 3, 5, -3 ] ],
[ [ 4, 0, -2, -1 ], [ 0, 4, 5, -4 ], [ 4, -1, -3, 0 ], [ 5, 2, 0, -3 ] ] ]),BoundaryImage:=rec(ListIFace:=[ ],ListSign:=[ ],ListElt:=[ ])),rec(TheMatrixStab:=Group([ [ [ -15, -2, 4, 6 ], [ 20, -15, -30, 8 ], [ -24, 3, 15, 4 ],
[ -15, -12, -10, 15 ] ],
[ [ -13, 3, 10, 1 ], [ -30, -13, -5, 20 ], [ -4, 8, 13, -6 ],
[ -40, -2, 15, 13 ] ],
[ [ -2, -5, -6, 5 ], [ 50, -2, -25, -12 ], [ -20, -5, 2, 10 ],
[ 25, -10, -25, 2 ] ],
[ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ],
[ [ -1, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ 0, -1, -2, 1 ], [ 10, 0, -5, -4 ], [ -2, -1, -1, 2 ], [ 5, -1, -5, -1 ]
], [ [ 0, 1, 2, -1 ], [ -10, 0, 5, 4 ], [ 2, 1, 1, -2 ], [ -5, 1, 5, 1 ]
],
[ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 0 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 2, 5, 6, -5 ], [ -50, 2, 25, 12 ], [ 20, 5, -2, -10 ],
[ -25, 10, 25, -2 ] ],
[ [ 13, -3, -10, -1 ], [ 30, 13, 5, -20 ], [ 4, -8, -13, 6 ],
[ 40, 2, -15, -13 ] ],
[ [ 15, 2, -4, -6 ], [ -20, 15, 30, -8 ], [ 24, -3, -15, -4 ],
[ 15, 12, 10, -15 ] ] ]),TheRotSubgroup:=Group([ [ [ -15, -2, 4, 6 ], [ 20, -15, -30, 8 ], [ -24, 3, 15, 4 ],
[ -15, -12, -10, 15 ] ],
[ [ -13, 3, 10, 1 ], [ -30, -13, -5, 20 ], [ -4, 8, 13, -6 ],
[ -40, -2, 15, 13 ] ],
[ [ -2, -5, -6, 5 ], [ 50, -2, -25, -12 ], [ -20, -5, 2, 10 ],
[ 25, -10, -25, 2 ] ],
[ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ],
[ [ -1, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ 0, -1, -2, 1 ], [ 10, 0, -5, -4 ], [ -2, -1, -1, 2 ], [ 5, -1, -5, -1 ]
], [ [ 0, 1, 2, -1 ], [ -10, 0, 5, 4 ], [ 2, 1, 1, -2 ], [ -5, 1, 5, 1 ]
],
[ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 0 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 2, 5, 6, -5 ], [ -50, 2, 25, 12 ], [ 20, 5, -2, -10 ],
[ -25, 10, 25, -2 ] ],
[ [ 13, -3, -10, -1 ], [ 30, 13, 5, -20 ], [ 4, -8, -13, 6 ],
[ 40, 2, -15, -13 ] ],
[ [ 15, 2, -4, -6 ], [ -20, 15, 30, -8 ], [ 24, -3, -15, -4 ],
[ 15, 12, 10, -15 ] ] ]),BoundaryImage:=rec(ListIFace:=[ ],ListSign:=[ ],ListElt:=[ ])),rec(TheMatrixStab:=Group([ [ [ -18, 0, 10, 5 ], [ 0, -18, -25, 20 ], [ -20, 5, 18, 0 ],
[ -25, -10, 0, 18 ] ],
[ [ -9, -5, -2, 8 ], [ 50, -9, -40, -4 ], [ -24, -3, 9, 10 ],
[ 15, -12, -25, 9 ] ],
[ [ -9, 5, 12, -3 ], [ -50, -9, 15, 24 ], [ 4, 8, 9, -10 ],
[ -40, 2, 25, 9 ] ],
[ [ -3, 0, 1, 1 ], [ 0, -3, -5, 2 ], [ -2, 1, 2, 0 ], [ -5, -1, 0, 2 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 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 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 5, -2 ], [ 2, -1, -2, 0 ], [ 5, 1, 0, -2 ] ],
[ [ 9, -5, -12, 3 ], [ 50, 9, -15, -24 ], [ -4, -8, -9, 10 ],
[ 40, -2, -25, -9 ] ],
[ [ 9, 5, 2, -8 ], [ -50, 9, 40, 4 ], [ 24, 3, -9, -10 ],
[ -15, 12, 25, -9 ] ],
[ [ 18, 0, -10, -5 ], [ 0, 18, 25, -20 ], [ 20, -5, -18, 0 ],
[ 25, 10, 0, -18 ] ] ]),TheRotSubgroup:=Group([ [ [ -18, 0, 10, 5 ], [ 0, -18, -25, 20 ], [ -20, 5, 18, 0 ],
[ -25, -10, 0, 18 ] ],
[ [ -9, -5, -2, 8 ], [ 50, -9, -40, -4 ], [ -24, -3, 9, 10 ],
[ 15, -12, -25, 9 ] ],
[ [ -9, 5, 12, -3 ], [ -50, -9, 15, 24 ], [ 4, 8, 9, -10 ],
[ -40, 2, 25, 9 ] ],
[ [ -3, 0, 1, 1 ], [ 0, -3, -5, 2 ], [ -2, 1, 2, 0 ], [ -5, -1, 0, 2 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 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 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 5, -2 ], [ 2, -1, -2, 0 ], [ 5, 1, 0, -2 ] ],
[ [ 9, -5, -12, 3 ], [ 50, 9, -15, -24 ], [ -4, -8, -9, 10 ],
[ 40, -2, -25, -9 ] ],
[ [ 9, 5, 2, -8 ], [ -50, 9, 40, 4 ], [ 24, 3, -9, -10 ],
[ -15, 12, 25, -9 ] ],
[ [ 18, 0, -10, -5 ], [ 0, 18, 25, -20 ], [ 20, -5, -18, 0 ],
[ 25, 10, 0, -18 ] ] ]),BoundaryImage:=rec(ListIFace:=[ ],ListSign:=[ ],ListElt:=[ ]))],[rec(TheMatrixStab:=Group([ [ [ -19, -6, 0, 12 ], [ 60, -19, -60, 0 ], [ -38, 0, 19, 12 ],
[ 0, -19, -30, 19 ] ],
[ [ -19, 6, 19, 0 ], [ -60, -19, 0, 38 ], [ 0, 12, 19, -12 ],
[ -60, 0, 30, 19 ] ],
[ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ],
[ [ -1, 0, 1, 0 ], [ 0, -1, 0, 2 ], [ -2, 0, 1, 0 ], [ 0, -1, 0, 1 ] ],
[ [ 1, 0, -1, 0 ], [ 0, 1, 0, -2 ], [ 2, 0, -1, 0 ], [ 0, 1, 0, -1 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ 19, -6, -19, 0 ], [ 60, 19, 0, -38 ], [ 0, -12, -19, 12 ],
[ 60, 0, -30, -19 ] ],
[ [ 19, 6, 0, -12 ], [ -60, 19, 60, 0 ], [ 38, 0, -19, -12 ],
[ 0, 19, 30, -19 ] ] ]),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, 2 ], [ -2, 0, 1, 0 ], [ 0, -1, 0, 1 ] ],
[ [ 1, 0, -1, 0 ], [ 0, 1, 0, -2 ], [ 2, 0, -1, 0 ], [ 0, 1, 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:=[ [ [ 19, -6, -19, 0 ], [ 60, 19, 0, -38 ], [ 0, -12, -19, 12 ],
[ 60, 0, -30, -19 ] ],
[ [ -1, -1, -1, 1 ], [ 10, -1, -5, -2 ], [ -4, -1, 0, 2 ], [ 5, -2, -5, 0 ]
] ])),rec(TheMatrixStab:=Group([ [ [ -1, 0, 0, 0 ], [ 0, -1, 0, 0 ], [ 0, 0, -1, 0 ], [ 0, 0, 0, -1 ] ],
[ [ -1, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ 0, -1, -2, 1 ], [ 10, 0, -5, -4 ], [ -2, -1, -1, 2 ], [ 5, -1, -5, -1 ]
], [ [ 0, 1, 2, -1 ], [ -10, 0, 5, 4 ], [ 2, 1, 1, -2 ], [ -5, 1, 5, 1 ]
],
[ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 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, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ 0, -1, -2, 1 ], [ 10, 0, -5, -4 ], [ -2, -1, -1, 2 ], [ 5, -1, -5, -1 ]
], [ [ 0, 1, 2, -1 ], [ -10, 0, 5, 4 ], [ 2, 1, 1, -2 ], [ -5, 1, 5, 1 ]
],
[ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 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:=[ [ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 0 ] ],
[ [ -2, -5, -6, 5 ], [ 50, -2, -25, -12 ], [ -20, -5, 2, 10 ],
[ 25, -10, -25, 2 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -3, 0, 1, 1 ], [ 0, -3, -5, 2 ], [ -2, 1, 2, 0 ], [ -5, -1, 0, 2 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 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 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 5, -2 ], [ 2, -1, -2, 0 ], [ 5, 1, 0, -2 ] ] ]),TheRotSubgroup:=Group([ [ [ -3, 0, 1, 1 ], [ 0, -3, -5, 2 ], [ -2, 1, 2, 0 ], [ -5, -1, 0, 2 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 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 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 3, 0, -1, -1 ], [ 0, 3, 5, -2 ], [ 2, -1, -2, 0 ], [ 5, 1, 0, -2 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -1, 0, 1, 0 ], [ 0, -1, 0, 2 ], [ -2, 0, 1, 0 ], [ 0, -1, 0, 1 ] ],
[ [ -2, 0, 1, 1 ], [ 0, -2, -5, 2 ], [ -2, 1, 3, 0 ], [ -5, -1, 0, 3 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -13, 3, 10, 1 ], [ -30, -13, -5, 20 ], [ -4, 8, 13, -6 ],
[ -40, -2, 15, 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, -3, -10, -1 ], [ 30, 13, 5, -20 ], [ 4, -8, -13, 6 ],
[ 40, 2, -15, -13 ] ] ]),TheRotSubgroup:=Group([ [ [ -13, 3, 10, 1 ], [ -30, -13, -5, 20 ], [ -4, 8, 13, -6 ],
[ -40, -2, 15, 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, -3, -10, -1 ], [ 30, 13, 5, -20 ], [ 4, -8, -13, 6 ],
[ 40, 2, -15, -13 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -2, -5, -6, 5 ], [ 50, -2, -25, -12 ], [ -20, -5, 2, 10 ],
[ 25, -10, -25, 2 ] ],
[ [ -9, 5, 11, -3 ], [ -50, -9, 15, 22 ], [ 10, 9, 6, -12 ],
[ -45, 5, 30, 6 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -15, -2, 4, 6 ], [ 20, -15, -30, 8 ], [ -24, 3, 15, 4 ],
[ -15, -12, -10, 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, 2, -4, -6 ], [ -20, 15, 30, -8 ], [ 24, -3, -15, -4 ],
[ 15, 12, 10, -15 ] ] ]),TheRotSubgroup:=Group([ [ [ -15, -2, 4, 6 ], [ 20, -15, -30, 8 ], [ -24, 3, 15, 4 ],
[ -15, -12, -10, 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, 2, -4, -6 ], [ -20, 15, 30, -8 ], [ 24, -3, -15, -4 ],
[ 15, 12, 10, -15 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 3 ],ListSign:=[ -1, 1 ],ListElt:=[ [ [ -15, -2, 4, 6 ], [ 20, -15, -30, 8 ], [ -24, 3, 15, 4 ],
[ -15, -12, -10, 15 ] ],
[ [ 15, 5, -1, -10 ], [ -50, 15, 50, -2 ], [ 34, 0, -19, -10 ],
[ 0, 17, 25, -19 ] ] ]))],[rec(TheMatrixStab:=Group([ [ [ -1, -12, -18, 12 ], [ 120, -1, -60, -36 ], [ -40, -12, 1, 24 ],
[ 60, -20, -60, 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, 12, 18, -12 ], [ -120, 1, 60, 36 ], [ 40, 12, -1, -24 ],
[ -60, 20, 60, -1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, -12, -18, 12 ], [ 120, -1, -60, -36 ], [ -40, -12, 1, 24 ],
[ 60, -20, -60, 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, 12, 18, -12 ], [ -120, 1, 60, 36 ], [ 40, 12, -1, -24 ],
[ -60, 20, 60, -1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 1, 3, 4, 2, 4, 3, 1, 2 ],ListSign:=[ 1, 1, -1, -1, -1, 1, -1, -1 ],ListElt:=[ [ [ -19, -6, 0, 12 ], [ 60, -19, -60, 0 ], [ -38, 0, 19, 12 ],
[ 0, -19, -30, 19 ] ],
[ [ 0, 7, 8, -7 ], [ -70, 0, 35, 16 ], [ 22, 7, -3, -12 ],
[ -35, 11, 30, -3 ] ],
[ [ -27, 16, 34, -6 ], [ -160, -27, 30, 68 ], [ 24, 25, 25, -28 ],
[ -125, 12, 70, 25 ] ],
[ [ -1, 1, 2, -1 ], [ -10, -1, 5, 4 ], [ 2, 1, 0, -2 ], [ -5, 1, 5, 0 ] ],
[ [ -15, -2, 4, 6 ], [ 20, -15, -30, 8 ], [ -24, 3, 15, 4 ],
[ -15, -12, -10, 15 ] ],
[ [ 19, 6, -1, -12 ], [ -60, 19, 60, -2 ], [ 40, 0, -21, -12 ],
[ 0, 20, 30, -21 ] ],
[ [ -37, 0, 19, 12 ], [ 0, -37, -60, 38 ], [ -38, 12, 39, 0 ],
[ -60, -19, 0, 39 ] ],
[ [ -25, -5, 2, 11 ], [ 50, -25, -55, 4 ], [ -42, 3, 20, 10 ],
[ -15, -21, -25, 20 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -11, 4, 11, -1 ], [ -40, -11, 5, 22 ], [ 0, 8, 11, -8 ],
[ -40, 0, 20, 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, -11, 1 ], [ 40, 11, -5, -22 ], [ 0, -8, -11, 8 ],
[ 40, 0, -20, -11 ] ] ]),TheRotSubgroup:=Group([ [ [ -11, 4, 11, -1 ], [ -40, -11, 5, 22 ], [ 0, 8, 11, -8 ],
[ -40, 0, 20, 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, -11, 1 ], [ 40, 11, -5, -22 ], [ 0, -8, -11, 8 ],
[ 40, 0, -20, -11 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 2, 5, 3, 5, 2, 3 ],ListSign:=[ 1, 1, -1, 1, 1, -1 ],ListElt:=[ [ [ 1, -1, -2, 1 ], [ 10, 1, -5, -4 ], [ -2, -1, 0, 2 ], [ 5, -1, -5, 0 ] ],
[ [ -2, -5, -6, 5 ], [ 50, -2, -25, -12 ], [ -20, -5, 2, 10 ],
[ 25, -10, -25, 2 ] ],
[ [ 2, 0, -1, -1 ], [ 0, 2, 5, -2 ], [ 2, -1, -3, 0 ], [ 5, 1, 0, -3 ] ],
[ [ 23, -2, -13, -5 ], [ 20, 23, 25, -26 ], [ 20, -9, -22, 2 ],
[ 45, 10, -5, -22 ] ],
[ [ -2, -5, -7, 5 ], [ 50, -2, -25, -14 ], [ -18, -5, 0, 10 ],
[ 25, -9, -25, 0 ] ],
[ [ -5, -4, -2, 6 ], [ 40, -5, -30, -4 ], [ -18, -3, 7, 8 ],
[ 15, -9, -20, 7 ] ] ])),rec(TheMatrixStab:=Group([ [ [ -1, -7, -10, 6 ], [ 70, -1, -30, -20 ], [ -28, -7, 1, 14 ],
[ 35, -14, -35, 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, 7, 10, -6 ], [ -70, 1, 30, 20 ], [ 28, 7, -1, -14 ],
[ -35, 14, 35, -1 ] ] ]),TheRotSubgroup:=Group([ [ [ -1, -7, -10, 6 ], [ 70, -1, -30, -20 ], [ -28, -7, 1, 14 ],
[ 35, -14, -35, 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, 7, 10, -6 ], [ -70, 1, 30, 20 ], [ 28, 7, -1, -14 ],
[ -35, 14, 35, -1 ] ] ]),BoundaryImage:=rec(ListIFace:=[ 4, 5, 5, 4 ],ListSign:=[ 1, -1, -1, 1 ],ListElt:=[ [ [ -13, 3, 10, 1 ], [ -30, -13, -5, 20 ], [ -4, 8, 13, -6 ],
[ -40, -2, 15, 13 ] ],
[ [ -1, -7, -10, 6 ], [ 70, -1, -30, -20 ], [ -28, -7, 1, 14 ],
[ 35, -14, -35, 1 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ],
[ [ -1, -7, -10, 6 ], [ 70, -1, -30, -20 ], [ -28, -7, 1, 14 ],
[ 35, -14, -35, 1 ] ] ]))]];