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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:=[true];
HAP_GCOMPLEX_LIST:=
[ [ rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1 ],
ListSign := [ 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, -1, 0, 2, 1, 0, 0, -1, 0 ],
[ 0, 0, 1, 0, 0, -1, -1, 0, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, -1, 0, 2, 1, 0, 0, -1, 0 ],
[ 0, 0, 1, 0, 0, -1, -1, 0, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -1, -3, 2, -1, 0, 1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, -1, 1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ -2, 1, 0, 0, 1, -1, -1, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ], [ 2, -2, 0, 2, -1,
-2, -2, 1, 2 ], [ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ], [ 2, -1, -2, 2, -1, 2,
2, -1, 2 ], [ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 2, 2, 2 ],
ListSign := [ 1, 1, 1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ], [ 2, -2, 0, 2, -1, 0,
0, 1, 0 ], [ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 0, 0, 1, 0, -1, 0, -1,
0, 2 ], [ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 3, 3, 3 ],
ListSign := [ 1, 1, 1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ], [ 0, 0, 1, 0, 0, -1,
-1, -1, 2 ], [ 2, -1, 0, 0, -1, -2, -1, 1, 2 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 1, -1, 0, -1, 0, 2, 0, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 1, 0, -2, -1, -1, 0, 1, 2 ],
[ -2, 2, 1, -2, 1, 1, 1, -2, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 5, -4, -2, 4, -3, 1, 2, 2, 2 ],
[ 6, -4, -3, 4, -3, 2, 3, 1, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -3, -1, 4, -2, 1, 2, 2, 2 ],
[ 4, -3, -3, 4, -3, 0, 2, 2, 2 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -2, -1, 2, -2, 1, 2, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ], [ 0, 0, 1, 0, 0, -1,
-1, -1, 2 ], [ 2, -1, 0, 0, -1, -2, -1, 1, 2 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 1, -1, 0, -1, 0, 2, 0, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 1, 0, -2, -1, -1, 0, 1, 2 ],
[ -2, 2, 1, -2, 1, 1, 1, -2, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 4, 4, 4, 4 ],
ListSign := [ 1, 1, 1, 1, -1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 0, 0, 1, 0, 0, -1, -1, -1, 2 ],
[ 2, -1, 0, 0, -1, -2, -1, 1, 2 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 1, -1, 0, -1, 0, 2, 0, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 1, 0, -2, -1, -1, 0, 1, 2 ],
[ -2, 2, 1, -2, 1, 1, 1, -2, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 5, -4, -2, 4, -3, 1, 2, 2, 2 ],
[ 6, -4, -3, 4, -3, 2, 3, 1, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -3, -1, 4, -2, 1, 2, 2, 2 ],
[ 4, -3, -3, 4, -3, 0, 2, 2, 2 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -2, -1, 2, -2, 1, 2, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 5, -4, -2, 4, -4, -2, 0, 4, 4 ],
[ 8, -7, -4, 8, -5, -3, 0, 6, 4 ],
[ 6, -4, -3, 4, -5, -1, 2, 4, 4 ],
[ 5, -4, -3, 5, -3, -1, 1, 3, 2 ],
[ 0, 0, 0, 0, -2, -1, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, -2, -2, 0, 0 ],
[ 0, 0, 0, 0, -2, 1, 2, 1, 2 ],
[ 0, 0, 0, 0, -1, -2, -1, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 0, 0, 1, 0, 0, -1, -1, -1, 2 ],
[ 2, -1, 0, 0, -1, -2, -1, 1, 2 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 1, -1, 0, -1, 0, 2, 0, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 1, 0, -2, -1, -1, 0, 1, 2 ],
[ -2, 2, 1, -2, 1, 1, 1, -2, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 5, -4, -2, 4, -3, 1, 2, 2, 2 ],
[ 6, -4, -3, 4, -3, 2, 3, 1, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -3, -1, 4, -2, 1, 2, 2, 2 ],
[ 4, -3, -3, 4, -3, 0, 2, 2, 2 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -2, -1, 2, -2, 1, 2, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 5, -4, -2, 4, -4, -2, 0, 4, 4 ],
[ 8, -7, -4, 8, -5, -3, 0, 6, 4 ],
[ 6, -4, -3, 4, -5, -1, 2, 4, 4 ],
[ 5, -4, -3, 5, -3, -1, 1, 3, 2 ],
[ 0, 0, 0, 0, -2, -1, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, -2, -2, 0, 0 ],
[ 0, 0, 0, 0, -2, 1, 2, 1, 2 ],
[ 0, 0, 0, 0, -1, -2, -1, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3, 3, 4 ],
ListSign := [ 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 3 ],
ListSign := [ 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3, 4 ],
ListSign := [ 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 3, 3 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ], [ 4, -2, -2, 2, -1, 1,
1, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ], [ 2, -2, -1, 2, -2, 0,
1, 2, 2 ], [ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2 ],
ListSign := [ 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3, 4 ],
ListSign := [ 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, -1, 0, 1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 3, 3 ],
ListSign := [ 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -1, -3, 2, -1, 0, 1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, -1, 1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 2, 0, 0, 0,
0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0,
0, 0 ], [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 3, 3 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 4, 4 ],
ListSign := [ 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, -2, 1, 2, 0, 2 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0,
0, 0 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0,
0, 0 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 4, 4 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, -1, 0, 1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ], [ 4, -2, -2, 2, -1, 1,
1, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, -2, 1, 2, 1, 2 ],
[ 2, -1, -2, 2, -1, 0, 1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 2, 0, -1, 0, -2, 0, 1, 0, 2 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, -1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, -1, 1, -1, 0, 1, 0, 1 ], [ 2, 0, -1, 0, -2, 0,
1, 0, 2 ], [ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, -1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4 ],
ListSign := [ 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, -2, 1, 2, 1, 2 ],
[ 2, -1, -2, 2, -1, 0, 1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 2, 0, -1, 0, -2, 0, 1, 0, 2 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, -1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ], [ 2, -2, 0, 2, -1,
-2, -2, 1, 2 ], [ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ], [ 2, -1, -2, 2, -1, 2,
2, -1, 2 ], [ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 12, 12, 12, 14 ],
ListSign := [ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 0, -1, 0, 2, 1, 0, 0, -1, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 2, -1, -2, 2, -2, 2, 3, 0, 2 ],
[ 2, -2, -1, 2, 0, 0, 0, 1, -2 ],
[ 0, 1, -1, 0, -1, 1, 2, -1, 2 ],
[ 0, -1, -1, 2, 1, 1, 1, 0, -2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, -1, 2 ],
[ 0, 0, -1, 2, 1, 1, 0, -2, 0 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 1, 0, -1, 1 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 0, -1, 1, 0, -1, 2 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -2, 0, 0, 0, 4 ],
[ 0, 0, 1, 0, -1, -1, -2, 0, 4 ],
[ 2, -1, 0, 0, -3, -1, 0, 2, 4 ],
[ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, 0, -1, 0, -3, 0, 2, 0, 4 ],
[ 0, 1, 0, 0, 0, 1, 0, -2, 0 ],
[ 2, -1, -1, 0, -2, -1, 1, 2, 2 ],
[ 0, 1, 1, -2, -1, 0, 0, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ], [ 2, -2, 0, 2, -2,
-1, -1, 2, 2 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ], [ 2, -2, 0, 2, -2,
-1, -1, 2, 2 ], [ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 2, 5, 5, 5, 8 ],
ListSign := [ 1, 1, 1, -1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -1, 0, 2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ], [ 4, -1, 0, 0, -3,
-3, -1, 1, 4 ], [ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2, 2, 3, 6, 6, 7, 9, 9 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 5, -3, -1, 2, -3, -1, 0, 2, 2 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 4, -3, 0, 2, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 0, 0, 1, 0, 0, -1, -1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, -1, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, 0, 0, -1, 0 ],
[ 2, -1, 0, 0, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 5, -4, -3, 5, -3, -1, 1, 3, 2 ],
[ 4, -4, -3, 6, -3, 0, 2, 3, 2 ],
[ 2, -1, -2, 2, -2, -1, 1, 2, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 8, -5, -5, 6, -4, -1, 2, 3, 2 ],
[ 4, -3, -1, 2, -3, 0, 1, 2, 2 ],
[ 0, 1, -1, 0, 0, -1, 0, 0, 0 ],
[ 4, -3, -3, 4, -3, 0, 2, 2, 2 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 1, -1, -1, 0, 0 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ -2, 2, 1, -2, 2, 1, 0, -2, -2 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -4, -2, 5, -2, 0, 1, 2, 1 ],
[ 8, -7, -4, 8, -4, -1, 1, 4, 2 ],
[ 4, -4, -1, 4, -1, 0, 0, 1, 0 ],
[ 5, -4, -2, 4, -2, -1, 0, 2, 1 ],
[ 4, -3, -3, 4, -3, 1, 3, 2, 2 ],
[ 4, -3, -1, 2, -3, -1, 0, 3, 2 ],
[ -2, 1, 0, 0, 2, 2, 1, -2, -2 ],
[ 6, -4, -3, 4, -4, 0, 2, 3, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, 0, -2, 2, -1, 1, 1, -1, 1 ],
[ 2, 0, -2, 2, -2, 1, 2, -1, 2 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 2, -1, -3, 4, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, 1, 0, 0, 2 ],
[ 0, 0, 1, 0, -1, 0, -1, 1, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ], [ 2, 0, -1, 0, -2, -1,
1, 1, 2 ], [ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2, 2, 2, 2, 2, 2, 10, 10, 10, 10, 11, 11 ],
ListSign := [ 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, 0, -2, 2, -1, 1, 1, -1, 1 ],
[ 2, 0, -2, 2, -2, 1, 2, -1, 2 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 2, -1, -3, 4, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, 1, 0, 0, 2 ],
[ 0, 0, 1, 0, -1, 0, -1, 1, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -3, -1, 4, 0, -1, -1, 1, 0 ],
[ 2, -1, -1, 0, -1, 0, 1, 1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -2, 0, 0, 0, 4 ],
[ 2, -1, 0, 0, -3, -1, 0, 2, 4 ],
[ 2, 0, -1, 0, -3, 1, 2, 0, 4 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 4 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 2, 0, 0, -1, -1, 1 ],
[ 0, 0, 0, 2, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 2, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 4, 1, 0, -1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, 0, -2, 2, -1, 1, 1, -1, 1 ],
[ 2, 0, -2, 2, -2, 1, 2, -1, 2 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 2, -1, -3, 4, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -2, 0, 0, 0, 4 ],
[ 2, -1, 0, 0, -3, -1, 0, 2, 4 ],
[ 2, 0, -1, 0, -3, 1, 2, 0, 4 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 4 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ], [ 2, -2, 0, 2, -1, 0,
0, 1, 0 ], [ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 4, -3, -1, 2, -3, -1, 0, 3, 2 ],
[ 0, 1, 1, -2, -1, -1, -1, 0, 2 ],
[ 2, -2, -1, 2, 0, 0, 0, 1, -2 ],
[ 2, -1, 0, 0, -2, -2, -1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 5, -4, -3, 5, -2, 1, 2, 1, 1 ],
[ 8, -5, -5, 6, -4, 1, 3, 2, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -4, -3, 6, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ], [ 0, 0, -1, 2, 1, 0, -1,
0, 0 ], [ 0, -1, 0, 2, 0, -1, -2, 1, 2 ],
[ 1, -1, -1, 2, 0, -1, -1, 1, 1 ],
[ 0, 1, 0, 0, 0, 1, 0, -2, 0 ],
[ 0, 0, -1, 2, 1, 0, 0, 0, -2 ],
[ -2, 1, 2, -2, 1, 1, -1, -2, 0 ],
[ 0, 0, -1, 2, 1, 1, 0, -1, -2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, 1, 0, -1, 0, -1, 0, 2 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 13,
13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 4, -3, -1, 2, -3, -1, 0, 3, 2 ],
[ 0, 1, 1, -2, -1, -1, -1, 0, 2 ],
[ 2, -2, -1, 2, 0, 0, 0, 1, -2 ],
[ 2, -1, 0, 0, -2, -2, -1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 5, -4, -3, 5, -2, 1, 2, 1, 1 ],
[ 8, -5, -5, 6, -4, 1, 3, 2, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -4, -3, 6, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, 0, 0 ],
[ 0, -1, 0, 2, 0, -1, -2, 1, 2 ],
[ 1, -1, -1, 2, 0, -1, -1, 1, 1 ],
[ 0, 1, 0, 0, 0, 1, 0, -2, 0 ],
[ 0, 0, -1, 2, 1, 0, 0, 0, -2 ],
[ -2, 1, 2, -2, 1, 1, -1, -2, 0 ],
[ 0, 0, -1, 2, 1, 1, 0, -1, -2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, 1, -1, 2 ],
[ 0, 0, -1, 2, -1, 1, 3, -1, 4 ],
[ 0, -1, 0, 2, 1, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, -1, 1, 2, 0, 2 ],
[ 0, 1, 0, 0, -1, -1, 1, 0, 2 ],
[ 0, 0, -1, 2, -1, 1, 2, -1, 2 ],
[ -2, 1, 2, -2, 2, -1, -2, 0, -2 ],
[ 0, 0, -1, 2, -1, 0, 2, 0, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, -2, -1, 0, 0, 5 ],
[ 2, -1, 0, 0, -3, -2, -1, 2, 6 ],
[ 2, 0, -1, 0, -4, -1, 2, 1, 8 ],
[ 2, -1, -1, 1, -3, -1, 1, 2, 5 ],
[ -2, 1, 1, 0, 2, 1, -1, -3, 0 ],
[ 0, -1, 1, 0, 1, -2, -3, 1, 0 ],
[ -2, 2, 1, -2, 1, 2, 1, -3, 0 ],
[ -2, 1, 2, -2, 2, -1, -3, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 5, -2, -4, 4, -2, 1, 2, 0, 1 ],
[ 8, -4, -7, 8, -4, 1, 4, 1, 2 ],
[ 4, -1, -4, 4, -1, 0, 1, 0, 0 ],
[ 4, -2, -4, 5, -2, 0, 2, 1, 1 ],
[ 2, 0, -1, 0, -2, 2, 2, -1, 2 ],
[ 6, -3, -4, 4, -4, 0, 3, 2, 2 ],
[ -4, 3, 3, -4, 3, 1, -2, -3, -2 ],
[ 4, -1, -3, 2, -3, 1, 3, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 4, -2, -4, 5, -4, 2, 5, 0, 5 ],
[ 4, -1, -4, 4, -6, 1, 6, 1, 8 ],
[ 8, -4, -7, 8, -7, 2, 7, 2, 6 ],
[ 5, -2, -4, 4, -5, 0, 4, 2, 5 ],
[ 0, 0, 0, 0, 0, 2, 1, -2, 2 ],
[ 0, 0, 0, 0, -2, 0, 2, 1, 4 ],
[ 0, 0, 0, 0, 1, 2, 0, -2, -2 ],
[ 0, 0, 0, 0, -2, 1, 2, 0, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -1, -2, -1, 2, 2 ],
[ 2, -1, 0, 0, -2, -1, 0, 1, 2 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 0, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 0, 0, 1, 0, 0, -1, -2, -1, 2 ],
[ 0, -1, 0, 2, 1, 0, -1, 0, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, -2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ -4, 3, 3, -4, 1, 0, -1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 1, -1, -1, 1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ 1, -1, -1, 2, -1, -1, 0, 2, 2 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 2, 0, -2, -2 ],
[ -2, 2, 1, -2, 2, 1, 0, -2, -2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
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[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
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[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
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[ 2, -1, 0, 0, -1, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 1, 0, 0, -1, 0, 1 ],
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[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 5, -4, -3, 5, -2, 1, 2, 1, 1 ],
[ 8, -5, -5, 6, -4, 1, 3, 2, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -4, -3, 6, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 1, 0, 0, 1, -1, 2 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 0, 1, 0, 0, -1, -1, 1, -1, 4 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 0, 0, -1, 2, -1, 1, 3, 0, 2 ],
[ 0, -1, 0, 2, 1, 1, 0, -1, -2 ],
[ 0, 1, -1, 0, -1, 0, 2, 0, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, -2, -1, 0, 0, 5 ],
[ 0, 1, 0, 0, -1, 0, 1, -2, 4 ],
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[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
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[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 5, -2, -4, 4, -2, 1, 2, 0, 1 ],
[ 2, 0, -1, 0, 0, 1, 0, -1, 0 ],
[ 6, -3, -4, 4, -3, 2, 3, 0, 2 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -1, -4, 4, -3, 1, 3, 0, 2 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -2, 1, 2, 0, 2 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 4, -2, -4, 5, -2, -2, 1, 3, 2 ],
[ 4, -3, -4, 6, -3, -3, 1, 5, 4 ],
[ 0, 0, -1, 2, 1, -1, -1, 1, 0 ],
[ 1, -1, -1, 2, -1, -1, 0, 2, 2 ],
[ 4, -1, -3, 2, -2, -2, 1, 2, 2 ],
[ 4, -3, -3, 4, -2, -2, 0, 3, 2 ],
[ -2, 2, 1, -2, 2, 1, 0, -2, -2 ],
[ 2, -1, -2, 2, -1, -2, 0, 2, 2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 5, -4, -3, 5, -4, -3, 0, 5, 5 ],
[ 2, -3, -1, 4, -1, -2, -2, 3, 2 ],
[ 6, -5, -5, 8, -4, -3, 1, 6, 4 ],
[ 2, -2, -2, 4, -1, -1, 0, 2, 1 ],
[ 6, -4, -3, 4, -6, -2, 2, 5, 6 ],
[ -2, 1, 2, -2, 0, 0, -1, 0, 2 ],
[ 4, -3, -3, 4, -3, -1, 2, 3, 2 ],
[ 0, -1, 1, 0, -1, -1, -1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 4, -2, -4, 5, -4, 2, 5, 0, 5 ],
[ 4, -3, -4, 6, -2, 3, 4, -1, 2 ],
[ 0, 0, -1, 2, -1, 2, 3, -2, 4 ],
[ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 4, -1, -3, 2, -5, 1, 4, 1, 6 ],
[ 4, -3, -3, 4, -3, 1, 3, 2, 2 ],
[ -2, 2, 1, -2, 0, 0, 0, -1, 2 ],
[ 2, -1, -2, 2, -2, 2, 3, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 10, -6, -8, 10, -7, -1, 5, 5, 5 ],
[ 10, -6, -8, 10, -6, -3, 3, 6, 4 ],
[ 10, -6, -8, 10, -5, 0, 4, 3, 2 ],
[ 5, -3, -4, 5, -2, -1, 1, 2, 1 ],
[ 6, -5, -5, 8, -5, 0, 4, 4, 4 ],
[ 2, -1, -3, 4, -2, -1, 2, 2, 2 ],
[ 2, -2, -1, 2, -1, 1, 1, 0, 0 ],
[ 4, -3, -4, 6, -3, -1, 2, 3, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 5, -2, -4, 4, -6, -2, 4, 4, 8 ],
[ 2, 0, -1, 0, -4, -2, 2, 2, 8 ],
[ 6, -3, -4, 4, -6, -4, 2, 6, 8 ],
[ 2, -1, -1, 1, -2, -2, 0, 2, 4 ],
[ 4, -1, -4, 4, -4, -1, 4, 2, 4 ],
[ 2, 0, -1, 0, -3, 0, 2, 0, 4 ],
[ 2, -1, -2, 2, -1, -1, 1, 2, 0 ],
[ 2, 0, -1, 0, -3, -1, 2, 1, 4 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 5, 6, 7, 10 ],
ListSign := [ 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 6, 10, 12, 13 ],
ListSign := [ 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, 0, -1, 0, 0, 1, 0, -1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 7, 11, 11, 13 ],
ListSign := [ 1, 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 6, 8, 9, 14 ],
ListSign := [ 1, 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, -2, -1, 1, 2, 2 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 5, 7, 9, 10 ],
ListSign := [ 1, -1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 9, 10, 12, 13 ],
ListSign := [ 1, -1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 6, 9, 11, 12 ],
ListSign := [ 1, -1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ], [ 0, -1, 0, 2, 0, 0,
0, 1, 0 ], [ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ], [ 0, -1, 0, 2, 0, 0,
0, 1, 0 ], [ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 5, 7, 8, 8 ],
ListSign := [ 1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 5, 6, 9 ],
ListSign := [ 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 9, 12, 12 ],
ListSign := [ 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 10, 10, 10, 10, 11, 11 ],
ListSign := [ 1, 1, 1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, 1, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 2, -2, 0, 0, -1, 0, 0 ],
[ 0, 2, 0, -2, 0, 0, 0, -1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -1, -3, 2, -1, 0, 1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, -1, 1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0,
0, 0 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0,
0, 0 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 12, 13, 14, 14 ],
ListSign := [ 1, 1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, 0, -1, 0, -2, 0, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 2, 0, 0, -1, -1, 1 ],
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[ 0, 0, 0, 2, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 4, 1, 0, -1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2, 2, 3, 3, 3, 3, 4, 6, 6, 9, 9, 10, 10,
12, 12, 15, 15 ],
ListSign := [ 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1,
1, 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 2, 0, 0, -1, -1, 1 ],
[ 0, 0, 0, 2, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 2, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 4, 1, 0, -1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 2, 0, 0, -1, -1, 1 ],
[ 0, 0, 0, 2, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 2, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 4, 1, 0, -1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, -1, 0, 2, 2 ],
[ 2, -2, -2, 4, -2, -1, 1, 3, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, -1, -2, 2, 2 ],
[ 0, 0, -1, 2, 1, 0, 0, 0, -2 ],
[ 0, 0, 1, -2, -1, 0, 0, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 2, 0 ],
[ 0, 0, 0, 1, 0, 0, -1, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
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[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 8, -2, -6, 5, -6, 2, 5, 0, 5 ],
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[ 12, -3, -8, 6, -10, 1, 7, 2, 8 ],
[ 5, -1, -3, 2, -5, 0, 3, 1, 5 ],
[ 8, -1, -7, 6, -5, 3, 5, -2, 4 ],
[ 0, 1, 1, -2, -1, 1, 0, -1, 2 ],
[ 6, -1, -5, 4, -4, 1, 4, 0, 2 ],
[ 2, 1, -1, 0, -3, 2, 2, -2, 4 ],
[ 2, 0, -2, 2, -1, 1, 1, -1, 1 ] ],
[ [ 8, -2, -6, 5, -6, 2, 5, 0, 5 ],
[ 4, 0, -3, 2, -5, 2, 4, -1, 6 ],
[ 12, -3, -8, 6, -10, 1, 7, 2, 8 ],
[ 5, -1, -3, 2, -5, 0, 3, 1, 5 ],
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[ 0, 1, 1, -2, -1, 1, 0, -1, 2 ],
[ 6, -1, -5, 4, -4, 1, 4, 0, 2 ],
[ 2, 1, -1, 0, -3, 2, 2, -2, 4 ],
[ 2, 0, -2, 2, -1, 1, 1, -1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ], [ 4, -1, 0, 0, -3,
-3, -1, 1, 4 ], [ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 8, -2, -6, 5, -6, 2, 5, 0, 5 ],
[ 4, 0, -3, 2, -5, 2, 4, -1, 6 ],
[ 12, -3, -8, 6, -10, 1, 7, 2, 8 ],
[ 5, -1, -3, 2, -5, 0, 3, 1, 5 ],
[ 8, -1, -7, 6, -5, 3, 5, -2, 4 ],
[ 0, 1, 1, -2, -1, 1, 0, -1, 2 ],
[ 6, -1, -5, 4, -4, 1, 4, 0, 2 ],
[ 2, 1, -1, 0, -3, 2, 2, -2, 4 ],
[ 2, 0, -2, 2, -1, 1, 1, -1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4,
5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 11, 11, 11, 11,
11, 11, 11, 11, 17, 17, 17, 17 ],
ListSign := [ 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1,
1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1,
-1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, 0, 1, -2, -2, -1, 1, 2 ],
[ 4, -1, 0, 0, -3, -3, -1, 1, 4 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 4, -3, 1, 2, -2, -2, -2, 1, 2 ],
[ 4, -3, -1, 2, -2, -2, -1, 2, 2 ],
[ -2, 1, 1, 0, 2, 1, 0, -2, -2 ],
[ 2, -1, 1, 0, -1, -2, -2, 0, 2 ],
[ 2, -2, 0, 2, -1, -1, -1, 1, 1 ] ],
[ [ 2, -3, -1, 5, -1, -1, -1, 2, 1 ],
[ 0, -1, 1, 2, 0, 0, -1, 0, 0 ],
[ 0, -1, -1, 4, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 6, -7, -4, 10, -3, -2, 0, 5, 2 ],
[ 2, -2, 1, 0, -2, -1, -1, 2, 2 ],
[ 0, -1, -2, 4, 0, 0, 1, 1, 0 ],
[ 0, -2, 1, 2, 0, 0, -1, 1, 0 ],
[ 5, -4, -3, 5, -3, -1, 1, 3, 2 ] ],
[ [ 1, 0, 0, 0, -2, -1, 0, 0, 5 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 2, 0, 0, 0, -3, -2, 0, 0, 6 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 0, 1, 0, 0, -2, 1, 1, -2, 6 ],
[ -2, 0, 1, 0, 3, 0, -2, -1, -2 ],
[ 0, 1, 0, 0, -2, 0, 1, -1, 4 ],
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[ 5, -1, -3, 2, -5, 0, 3, 1, 5 ],
[ 8, -1, -7, 6, -5, 3, 5, -2, 4 ],
[ 0, 1, 1, -2, -1, 1, 0, -1, 2 ],
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[ 2, 1, -1, 0, -3, 2, 2, -2, 4 ],
[ 2, 0, -2, 2, -1, 1, 1, -1, 1 ] ],
[ [ 9, -3, -3, 2, -9, -3, 2, 4, 10 ],
[ 12, -4, -6, 4, -11, -2, 5, 5, 10 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 0, 1, 0, 0, -1, -1, -1, 2 ],
[ 0, -1, 0, 2, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 0, 1, 0, 0, -1, -1, -1, 2 ],
[ 0, -1, 0, 2, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ], [ 0, -1, 0, 2, 0, 0,
0, 1, 0 ], [ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2, 2, 3, 3, 13, 13, 14, 14, 14, 14 ],
ListSign := [ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 0, 1, 0, 0, -1, -1, -1, 2 ],
[ 0, -1, 0, 2, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, -1, -1, 1, 2 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 0, 0, 0, 0, -1, 0, 0, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -1, -2, -1, 2, 2 ],
[ 2, -1, 0, 0, -2, -1, 0, 1, 2 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, -1, 0, 0, 1 ],
[ 2, 0, 0, 0, -1, -2, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 2 ],
[ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 2, -1, 0, 0, 1, -1, -1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 2, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, 0, -2, -1, 1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 0, 0, 0, 1, 0, 0, 0, -1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, 0, -2, 2, -1, 1, 1, -1, 1 ],
[ 2, 0, -2, 2, -1, 2, 1, -2, 2 ],
[ 2, 0, -2, 2, -2, 1, 2, -1, 2 ],
[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 2, -1, -3, 4, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 0, 0, -1, 2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, 0, 0, 0, -1, -1, 0, 0, 1 ],
[ 2, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, -1, 0, -2, -1, 1, 0, 2 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 2, -2, -2, 4, -1, 1, 2, 0, 1 ],
[ 2, -2, -2, 4, -2, 1, 3, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -3, -1, 4, 0, 1, 1, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, 0, 2, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ], [ 2, 0, -1, 0, -2, -1,
1, 1, 2 ], [ 0, 1, 0, 0, -1, 0, 1, -1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, 1, 0, 1, -1, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, -1, 0 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, -1, 0, 2, 2 ],
[ 2, -2, -2, 4, -2, -1, 1, 3, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -2, -1, 2, -2, -2, -1, 3, 4 ],
[ 0, -1, 0, 2, 0, 0, -1, 1, 0 ],
[ 0, 1, 0, -2, -1, 0, 1, 0, 2 ],
[ 2, -2, -1, 2, -2, -1, 0, 3, 2 ],
[ 1, -1, 0, 1, -1, -1, -1, 1, 2 ] ],
[ [ 1, -1, -1, 2, -1, -1, 0, 2, 2 ],
[ 2, -2, -2, 4, -2, -1, 1, 3, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -1, -2, 0, 2, 2 ],
[ 2, -2, -1, 2, -2, -1, 0, 2, 2 ],
[ -2, 2, 1, -2, 1, 0, 0, -1, 0 ],
[ 2, -1, -2, 2, -2, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 5, -3, -1, 2, -3, -1, 0, 2, 2 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ],
[ 4, -3, 0, 2, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 0, 0, 1, 0, 0, -1, -1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -2, -2, 8, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 4, 0, 0, 0,
0, 0 ], [ 0, 0, -1, 4, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -5, -2, 12, 0, -1, -2, 2, 0 ],
[ -2, 2, 3, -4, 1, 0, -2, -2, 0 ],
[ 0, -1, -1, 4, 0, 0, 0, 1, 0 ],
[ 0, -1, 1, 2, 0, 0, -1, 0, 0 ],
[ 2, -3, -1, 5, -1, -1, -1, 2, 1 ] ],
[ [ 1, -2, 0, 4, -1, -1, -2, 2, 2 ],
[ 2, -3, 0, 4, -2, -1, -1, 3, 2 ],
[ 0, 0, 1, 0, -1, 0, -1, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, -2, -1, 8, 1, -1, -3, 1, 0 ],
[ 2, -3, -2, 4, -1, -1, 1, 3, 0 ],
[ -2, 2, 2, -2, 1, 0, -2, -1, 0 ],
[ 0, -2, 0, 4, 0, -1, -1, 2, 0 ],
[ 1, -1, -2, 5, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 16, 16, 16, 16, 16, 16, 16, 16, 16,
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16 ]
,
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1 ]
,
ListElt :=
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 7, 10, 11, 12, 12, 16 ],
ListSign := [ 1, -1, -1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
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TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 7, 8, 8, 10, 11, 16 ],
ListSign := [ 1, -1, -1, 1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
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[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
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[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 9, 9, 10, 13, 13, 14 ],
ListSign := [ 1, 1, -1, -1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0,
0, 0 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 10, 10, 14, 14 ],
ListSign := [ 1, -1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 7, 10, 11, 14, 15 ],
ListSign := [ 1, 1, -1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 9, 9, 11, 15, 17, 17 ],
ListSign := [ 1, -1, 1, -1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0,
0, 0 ], [ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 11, 11, 15, 15 ],
ListSign := [ 1, -1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
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[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
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[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
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[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 8, 9, 9, 12, 12, 13, 17 ],
ListSign := [ 1, -1, -1, -1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 12, 14, 14, 15, 15 ],
ListSign := [ 1, -1, -1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, -1, 0,
1, 2 ], [ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 16, 16, 16, 16, 16, 16, 16, 16 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -2, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 5, -4, -2, 4, -3, 1, 2, 2, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 4, -4, -1, 4, -3, 0, 1, 3, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 4, -4, -1, 4, -1, 1, 1, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 1, -1, 0 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, 1, 0, 0, 2 ],
[ 0, 0, 1, 0, -1, 0, -1, 1, 2 ],
[ 2, -1, 0, 0, -2, 1, 1, 1, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 0, 1, 0, 0, 1, 1, -1, -1, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, 0, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, -1, 0, 2, 2 ],
[ 2, -2, -2, 4, -2, -1, 1, 3, 2 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, -1, -2, 2, 2 ],
[ 0, 0, -1, 2, 1, 0, 0, 0, -2 ],
[ 0, 0, 1, -2, -1, 0, 0, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 2, 0 ],
[ 0, 0, 0, 1, 0, 0, -1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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TheRotSubgroup :=
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10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
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[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
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[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
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[ 0, 0, -1, 2, 1, 1, 0, -2, 0 ],
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[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 0, 0, -1, 2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ 2, -1, 0, 0, -2, -1, 0, 1, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -2, 0, 0, 0, 4 ],
[ 2, 0, -1, 0, -3, 1, 2, 0, 4 ],
[ 0, 1, 0, 0, -1, 1, 0, -2, 4 ],
[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 2, 0, 0, 0, -3, 0, 0, 0, 4 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, -1, 0, 0, -1, 2 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ], [ 0, 0, -1, 2, 0, 1,
1, -2, 2 ], [ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 0, 0, -1, 2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 7, 7, 7, 7,
7, 7, 8, 8, 8, 13, 13, 13, 13, 13, 13 ],
ListSign := [ 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1,
1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, -1, -1, 1, 1 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ 2, -2, -1, 2, -1, -2, -1, 2, 2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, 1, -1, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
[ 0, 0, -1, 2, 0, 1, 1, -2, 2 ],
[ 2, -1, -2, 2, -1, 2, 2, -1, 2 ],
[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 0, 0, -1, 2, 1, 1, 0, -2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 2, -1, 1, 0, -2, -1, -1, 1, 2 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 0, 0, 1, 0, -1, -1, -1, 0, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 2, -2, 0, 2, -2, -1, -1, 2, 2 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -3, -1, 4, 0, -1, -1, 1, 0 ],
[ 2, -1, -1, 0, -1, 0, 1, 1, 0 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, 1, 0, -1, -1, 1 ],
[ 0, 0, -1, 2, 1, 1, -1, -2, 2 ],
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[ 1, 0, -1, 1, 0, 1, 0, -1, 1 ],
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[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
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[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
[ 2, -1, 0, 0, -1, -2, -1, 1, 2 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
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[ 0, 0, 0, 0, -1, 0, 0, 0, 2 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ 2, -1, 0, 0, -2, -1, 0, 1, 2 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
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[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, 0, -2, 2, -1, 1, 1, -1, 1 ],
[ 2, 0, -2, 2, -1, 2, 1, -2, 2 ],
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[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
[ 2, -1, -3, 4, 0, 1, 1, -1, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
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[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
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[ [ 2, 0, -2, 2, -1, 1, 1, -1, 1 ],
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[ 1, 0, -1, 1, -1, 1, 1, -1, 2 ],
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[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, -1, -1, 0, 0, 2 ],
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[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, -1, -1, 1, 1 ],
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[ 0, 0, 0, 0, 1, 0, -1, -1, 0 ],
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[ 0, 0, 0, 0, 1, -1, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
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[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
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[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
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[ 0, 1, 1, -2, -1, -1, -1, 0, 2 ],
[ 2, -2, -1, 2, 0, 0, 0, 1, -2 ],
[ 2, -1, 0, 0, -2, -2, -1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 1, -1, 0, 1, -2, -1, -1, 2, 5 ],
[ 2, -1, 0, 0, -4, -1, 0, 2, 8 ],
[ 0, 0, 1, 0, -1, 0, -2, 0, 4 ],
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[ 0, 0, 0, 0, -1, 0, 0, 0, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 1, 0, 0, 0, -2, 4 ], [ 0, -1, 0, 2, 2, 0, -1,
-2, 0 ], [ 0, 0, 1, 0, 0, -2, -2, -1, 4 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 4 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 1, 0, 0, 1, -1, 2 ],
[ 0, 0, -1, 2, -1, 1, 3, -1, 4 ],
[ 0, -1, 0, 2, 1, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, -1, 1, 2, 0, 2 ],
[ 0, 1, 0, 0, -1, -1, 1, 0, 2 ],
[ 0, 0, -1, 2, -1, 1, 2, -1, 2 ],
[ -2, 1, 2, -2, 2, -1, -2, 0, -2 ],
[ 0, 0, -1, 2, -1, 0, 2, 0, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3,
3, 3, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 12, 12 ],
ListSign := [ 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1,
1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1,
-1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1,
-1, -1, -1, 1, 1, 1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -2, 0, 2, -1, -1, -1, 1, 1 ],
[ 2, -2, 0, 2, -1, -2, -2, 1, 2 ],
[ 2, -2, 0, 2, 0, -1, -1, 0, 0 ],
[ 1, -1, 0, 1, 0, -1, -1, 0, 1 ],
[ 4, -3, -1, 2, -3, -1, 0, 3, 2 ],
[ 0, 1, 1, -2, -1, -1, -1, 0, 2 ],
[ 2, -2, -1, 2, 0, 0, 0, 1, -2 ],
[ 2, -1, 0, 0, -2, -2, -1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
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[ 8, -5, -5, 6, -4, 1, 3, 2, 2 ],
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[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -4, -3, 6, -1, 0, 1, 1, 0 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, -1, 1, 0, 0, 2 ],
[ 2, 0, -1, 0, -1, 2, 1, -1, 2 ],
[ 0, 1, 0, 0, 0, 1, -1, -1, 2 ],
[ 1, 0, -1, 1, 0, 1, 0, -1, 1 ],
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[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
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[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
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[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
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[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
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[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, -2, 2, 0, 0, 1, 0, 0 ],
[ 0, -2, 0, 2, 0, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0,
0, 0 ], [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 5, 5, 5, 6, 6, 6, 6, 14 ],
ListSign := [ 1, 1, 1, 1, -1, -1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, -2, 2, 0, 0, 1, 0, 0 ],
[ 0, -2, 0, 2, 0, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, -2, 2, 0, 0, 1, 0, 0 ],
[ 0, -2, 0, 2, 0, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 6, 7, 7, 10, 10, 12, 12, 13 ],
ListSign := [ 1, 1, -1, -1, 1, 1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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BoundaryImage := rec(
ListIFace := [ 5, 5, 8, 9, 9, 11, 13, 13 ],
ListSign := [ 1, -1, -1, 1, -1, -1, -1, 1 ],
ListElt :=
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[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ] ) ), rec(
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TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 6, 6, 8, 9, 9, 11 ],
ListSign := [ 1, -1, -1, 1, -1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ], [ 2, -1, -2, 2, -2, 0,
2, 1, 2 ], [ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 8, 8, 8 ],
ListSign := [ 1, -1, -1, 1, 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -2, 4, -1, 0, 1, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ], [ 2, -2, -1, 2, -2, 0,
1, 2, 2 ], [ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ], [ 2, -2, -1, 2, -2, 0,
1, 2, 2 ], [ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 9, 9, 9, 10, 10, 10 ],
ListSign := [ 1, 1, 1, -1, -1, -1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, -1, 0, 2, 0, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -3, 2, -3, 0, 2, 1, 2 ],
[ 0, 1, 1, -2, 0, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -1, -1, 0, 1, 0 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -3, 0, 1, 1, 2 ],
[ 0, -1, 1, 0, 0, -1, -1, 1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ], [ 4, -2, -2, 2, -1, 1,
1, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, 0, -1, 0, 0, 1, 0, -1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, 0, -1, 0, 0, 1, 0, -1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, 0, -1, 0, 0, 1, 0, -1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, 0, -1, 0, 0, 1, 0, -1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, -1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ], [ 2, -2, -1, 2, -2, 0,
1, 2, 2 ], [ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 10, 10, 10, 10, 10, 10, 11, 11, 11 ],
ListSign := [ 1, 1, -1, 1, -1, -1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
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[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
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TheMatrixStab :=
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[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
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[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
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[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
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[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ -2, 1, 0, 0, 1, -1, -1, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 13, 13, 13, 13, 13, 13 ],
ListSign := [ 1, -1, 1, 1, -1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
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[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ] ],
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[ 0, 2, 0, -2, 0, 0, 0, -1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
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[ [ 1, 0, -1, 1, 0, 1, 0, -1, 1 ],
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[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 4, -1, -3, 2, -2, 2, 2, -1, 2 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -2, -1, 5, 0, -1, -2, 1, 1 ], [ 0, -1, 1, 2, 0, -1,
-3, 0, 2 ], [ 0, -1, -1, 6, 1, 0, -2, -1, 0 ],
[ 0, 0, 0, 2, 0, 0, -1, -1, 1 ],
[ 0, -1, 0, 4, 0, -1, -3, 1, 2 ],
[ 0, 0, -1, 2, 1, 0, -1, -1, 0 ],
[ 0, 0, 0, 2, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 2, 0, 0, -2, -1, 2 ],
[ 0, 0, 0, 1, 0, 0, -1, 0, 1 ] ],
[ [ 1, -2, 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 4, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -4, -2, 8, 0, 1, 2, 0, 0 ],
[ 2, -2, 0, 0, -1, 0, 0, 2, 0 ],
[ 0, -1, -1, 4, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -2, -2, 4, -1, 1, 2, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 ],
ListSign := [ 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1,
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[ [ 1, -1, -1, 2, 1, -1, -2, 0, 2 ],
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[ 2, -1, -2, 2, 2, 0, -1, -1, 0 ],
[ 2, -2, -1, 2, 0, -2, -1, 1, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -1, 0 ],
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[ [ 2, 0, 0, 0, -3, -1, 0, 0, 5 ],
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[ 2, 0, 0, 0, -2, -1, 0, 0, 2 ],
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[ [ 1, 0, 0, 0, -2, 1, 0, 0, 5 ],
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[ 2, 0, -1, 0, -2, 2, 2, -1, 2 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
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[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ] ],
[ [ 2, -2, -2, 4, 1, 1, 0, -2, 1 ],
[ 2, -2, -2, 4, 1, 2, 1, -3, 2 ],
[ 2, -2, -2, 4, 0, 1, 1, -1, 0 ],
[ 1, -1, -1, 2, 0, 1, 1, -1, 1 ],
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[ 0, -1, 1, 0, 1, -1, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, -2, -1, 2, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, -1, 2, -1, 1, 0, -2, 2 ],
[ 0, 1, -1, 4, 0, 1, -1, -3, 2 ],
[ 0, 1, 1, 0, -1, 0, -1, -1, 2 ],
[ 0, 0, 0, 2, 0, 0, -1, -1, 1 ],
[ 2, 1, -2, 2, -2, 1, 2, -2, 2 ],
[ 0, 0, -1, 2, 1, 0, 0, 0, -2 ],
[ 0, 1, 1, -2, -1, 0, 0, -1, 2 ],
[ 0, 1, -1, 2, 0, 1, 1, -2, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
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[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
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[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
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[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
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[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
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[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
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[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
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[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
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[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
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[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
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[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
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[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
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[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, -1, 1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0,
0, 0 ], [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 11 ],
ListSign := [ 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -2, 0, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, -1, 1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
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[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0,
0, 0 ], [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 6, 6, 6, 6, 7, 7, 7, 7 ],
ListSign := [ 1, -1, -1, -1, -1, -1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
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[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
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[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ -2, 0, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
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[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 5, 5, 5, 6, 6, 7, 8, 9, 9, 10 ],
ListSign := [ 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, -2, 1, 2, 1, 2 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
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[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, -1, 0, 1, 1, 2 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 2, -1, -2, 2, -2, 0, 2, 1, 2 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
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[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
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[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 2, 0, -2, 0, 0, 0, -1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0,
0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 6, 6, 6, 6, 6, 6, 11, 11 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, -1, -1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
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[ -2, 1, 2, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ -2, 0, 1, 0, 1, 0, 0, 0, 0 ],
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[ -2, 1, 2, -2, 1, -1, -1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
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2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
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[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
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[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
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[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
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[ -2, 0, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ 0, -2, 0, 2, 0, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, -1, 0,
1, 2 ], [ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, -1, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6 ],
ListSign := [ 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ],
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[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
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[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
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[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
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[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, -2, 0, 2, 0, 0, 0, 1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
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[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
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[ 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, -1, 2, 0, 1, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 1, -1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, -1, 0, 1, 1 ],
[ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 0, 0, 0, 0, -1, -1, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, -2, 2, 0, -1, 0, 1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 2, -1, -2, 2, -1, -1, 1, 1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, -1, -1, 2, -1, 0, 1, 1, 1 ],
[ 0, -1, 0, 2, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, -2, -1, 1, 2, 2 ],
[ 2, -2, -1, 2, -1, 0, 0, 1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 2, 0, 0, 0, 1, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ], [ 2, 0, -1, 0, 0, 0, 0,
0, 0 ], [ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, -1, 0, 1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ -2, 1, 0, 0, 1, -1, -1, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ], [ 2, -1, -2, 2, 0, 0,
0, 0, 0 ], [ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, -1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, -1, 0, 1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -2, 2, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 2, 0, -1, 0, -1, -1, 0, 1, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 0, 1, 0, -1, 0, 0 ],
[ 0, 1, 1, -2, 0, 1, 0, -1, 0 ],
[ -2, 1, 0, 0, 1, -1, -1, 0, 0 ],
[ -2, 2, 1, -2, 1, 1, 0, -1, 0 ],
[ 1, -1, 0, 1, -1, 0, 0, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 4, -1, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, 1, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 2, -2, 0, 0, -1, 0, 0 ],
[ 0, 2, 0, -2, 0, 0, 0, -1, 0 ],
[ 4, -2, -2, 2, -2, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, -1, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -2, -1, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 1, 1, -1, 0 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 4, -2, -2, 2, -2, 0, 1, 1, 1 ], [ 4, -2, -2, 2, -3, 1,
2, 1, 2 ], [ 4, -2, -2, 2, -3, -1, 1, 2, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 4, -3, -3, 4, -1, 0, 1, 1, 0 ],
[ 0, 1, -1, 0, 0, 1, 1, -1, 0 ],
[ 2, -2, -1, 2, -1, -1, 0, 2, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
[ 1, -1, -1, 2, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, 0, 0, 0, 1, 0, 0, 0 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, -1, 0, 0 ],
[ 2, -1, -1, 1, -1, 1, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, -1, 0, 1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, -2, 1, 2, 0, 2 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, -1, 0,
1, 2 ], [ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 1, -1, -1, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 1, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, -1, -1, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -1, 0, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, -1, -1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0
], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, 1, 1, 0, 2 ],
[ 2, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 2, 0, -1, 0, 1, 0 ],
[ -2, 1, 2, -2, 1, 0, -1, 0, 0 ],
[ 2, -1, -2, 2, -1, -1, 0, 1, 0 ],
[ -2, 2, 1, -2, 1, -1, -1, 0, 0 ],
[ 1, -1, -1, 2, -1, 0, 1, 1, 1 ] ],
[ [ 1, 0, -1, 1, -1, 0, 1, 0, 1 ],
[ 0, 0, -1, 2, 0, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, -2, -1, 1, 1, 2 ],
[ 2, -1, -2, 2, -1, 0, 1, 1, 0 ],
[ 0, 1, 1, -2, 0, 0, 0, -1, 0 ],
[ 0, 1, -1, 0, 0, 0, 1, 0, 0 ],
[ 2, -1, -1, 1, -1, -1, 0, 1, 1 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 4, -2, -2, 2, -1, 1, 1, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, -2, 1, 2, 0, 2 ],
[ 2, 0, -1, 0, -1, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 1, 1, 0, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 1, 0, 0 ],
[ 1, 0, -1, 1, -1, 0, 1, 0, 1 ] ],
[ [ 1, 0, -1, 1, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, -1, -2, 2, 0, 0, 0, 0, 0 ],
[ 2, -1, -1, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 0, 1, 0, 0 ],
[ -2, 1, 0, 0, 1, 1, 0, -1, 0 ],
[ 2, 0, -1, 0, -1, 1, 1, 0, 0 ],
[ 1, 0, 0, 0, -1, 0, 0, 0, 1 ] ],
[ [ 1, -1, 0, 1, -1, 0, 0, 1, 1 ],
[ 2, -2, -1, 2, -2, 0, 1, 2, 2 ],
[ 2, -1, 0, 0, -2, 0, 0, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -2, 0, 2, -1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0 ],
[ 2, -1, 0, 0, -1, -1, -1, 1, 0 ],
[ 2, -2, -1, 2, -1, 1, 1, 1, 0 ],
[ 1, -1, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 2, -1, -1, 1, -1, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, -1, 1, 1, 0, 2 ],
[ 4, -2, -2, 2, -3, 1, 2, 1, 2 ],
[ 2, -1, -1, 1, -2, 0, 1, 1, 2 ],
[ 2, -1, -2, 2, 0, 1, 1, -1, 0 ],
[ -2, 2, 1, -2, 1, 0, -1, -1, 0 ],
[ 2, -1, -2, 2, -1, 1, 2, 0, 0 ],
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