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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: 418384HAP_GCOMPLEX_SETUP:=[true];
HAP_GCOMPLEX_LIST:=
[ [ rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1 ],
ListSign := [ 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 1, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ -2, -3, -3, -1, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 3, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, -1, -4, -3, -2 ],
[ 0, -2, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 2, 4, 2, 6, 9, 5, 12, 7, 4 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -4, -2, 0, 1, 0, 2, 2, 4, 3, 2 ],
[ 4, 3, 1, 0, 0, -3, -3, -6, -5, -4 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ],
[ -8, -10, -10, -6, -12, -12, -7, -12, -7, -4 ],
[ 4, 6, 6, 4, 9, 9, 6, 9, 6, 4 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, -1, -1, 0, -2,
-2, -6, -5, -4 ], [ 0, 0, 2, 2, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, -2, -2, 0, -1, -1, -2, -1, 0 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -4, -6, -8, -5, -8, -10, -6, -12, -7, -4 ],
[ 4, 5, 7, 4, 4, 5, 2, 6, 2, 0 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ],
[ -8, -6, -6, -2, -4, -4, -1, -4, -1, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -4, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1 ],
ListSign := [ 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 2 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, -2, -2, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 2, 4, 2, 4, 6, 3, 8, 4, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -6, -6, -3, -8, -8, -4, -8, -4, -2 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, -2, -1,
-1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1 ],
ListSign := [ 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2 ],
ListSign := [ 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 2, 2 ],
ListSign := [ 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 2, 2 ],
ListSign := [ 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 3, 3 ],
ListSign := [ 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 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, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -2, -1,
0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2 ],
ListSign := [ 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, -2, -1,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2 ],
ListSign := [ 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 4, 4 ],
ListSign := [ 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0,
2, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 4, 4 ],
ListSign := [ 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -2, 0, 0 ], [ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 4 ],
ListSign := [ 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1,
2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 4, 4 ],
ListSign := [ 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 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, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 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, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4 ],
ListSign := [ 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ -2, -1, -1, -1, 0,
0, 0, 0, 0, 0 ], [ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -2, 0, -4, -3, 0, -2, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1,
0, 0, 0 ], [ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4, 4 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -2, 0, -4, -3, 0, -2, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, -2, -2, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 4, 3, 4, 3, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 5 ],
ListSign := [ 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2, 2 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 3, 3 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 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, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 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, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 2, 3, 6 ],
ListSign := [ 1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 4, 4, 4, 4, 7, 8, 10, 10 ],
ListSign := [ 1, -1, -1, 1, 1, -1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3, 5, 6 ],
ListSign := [ 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 3, 3 ],
ListSign := [ 1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 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, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 1, 1, 0, -1,
-1, -2, -2, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 3, 3, 4, 4, 4, 4, 7, 7, 7, 7, 9, 9, 11, 11
],
ListSign := [ 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, -1, 0, 0, 0, 1, 0, 1, 2 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 1, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -3, -1, 0, -1, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, -1, 0, 0, 0, 1, 0, 1, 2 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 1, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -3, -1, 0, -1, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ -2, -1, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 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, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 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, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 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, -1, 0, -2, -1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 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, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 12, 12, 12, 12 ],
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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 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, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 6, 6 ],
ListSign := [ 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 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, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, -1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -2, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, -1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 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, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
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[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 2, 2, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -3, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 8, 8, 8, 8, 8, 8 ],
ListSign := [ 1, -1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 8, 9, 10, 10, 11 ],
ListSign := [ 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 8, 9, 9, 11, 11, 13 ],
ListSign := [ 1, -1, -1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 9, 10, 11, 12, 13 ],
ListSign := [ 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, -2, -1,
-1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 9, 9, 9, 9, 9, 9 ],
ListSign := [ 1, -1, -1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 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 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 1, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 10, 10, 10, 12 ],
ListSign := [ 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -2, -1,
0, 0, 0, 0 ], [ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 11, 11, 11, 11, 11, 11 ],
ListSign := [ 1, -1, -1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 2, 2, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 2, 1, 4, 4, 1, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, -1,
-1, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 13, 13, 13, 13 ],
ListSign := [ 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 2, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -2, -2, -2, -4, -4, -3, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -4, -4, -4, -1, -4, -4, -1, -4, -1, 0 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 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 ],
[ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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 ],
[ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 2, 3, 4, 6 ],
ListSign := [ 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 9, 12, 17, 17, 17,
17 ],
ListSign := [ 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 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, 0, 0, 1, 1, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2, 2, 2 ],
ListSign := [ 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 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, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3, 4, 4, 7 ],
ListSign := [ 1, 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 4, 4, 6, 6 ],
ListSign := [ 1, 1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2, 3, 3, 3, 5, 5, 5, 5, 5, 5, 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 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
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[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -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, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 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, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 4, 4, 6, 6 ],
ListSign := [ 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 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, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 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, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -2, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 3, 3, 3 ],
ListSign := [ 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 6, 6, 10 ],
ListSign := [ 1, 1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, 0, -4, -1, 0, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ -2, -4, -3, -1, -8, -6, -2, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -2, 0,
0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, -1, -2, 0, -1, -2, -4, -6, -8 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -2, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 2, 0, 1, 2, 0, -1, -4 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6,
6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 11, 11, 14, 14,
14, 14, 15, 15, 15, 15, 15, 15, 15, 15 ],
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 ],
ListElt :=
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[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
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[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
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[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ],
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[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
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[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
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[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 6, 6, 7 ],
ListSign := [ 1, 1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 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, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, -1, -1, -1, -4,
-4, -3, -4, -3, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 2, 2, 2, 4, 3, 3, 2, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ -4, -6, -5, -3, -8, -6, -4, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 2, 0, 0, 2, 0, 2, 1, 0 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 1, 0, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 2, 2, 1, 1, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -3, -3, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18 ],
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 :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
[ 0, 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, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 2, 2, 1, 1, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, 0, -1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ 0, 0, -1, -1, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
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[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -4, -4, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
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[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ 0, -2, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ -4, -2, 1, -1, 0, 2, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -3, -3, -2, -2, -2 ],
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[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
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[ 0, -1, -2, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 4, 2, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ 4, 2, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
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[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 1, 1, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 1, 0, 1, 2, 1, 2, 0, 1, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ], [ 0, -1, -2, -1, -2,
-4, -2, -8, -4, -2 ], [ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ], [ 0, -1, 0, 0, -4, -2,
-1, 0, 0, 0 ], [ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 13, 13, 13, 13, 14, 14 ],
ListSign := [ 1, -1, 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -4, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 13, 13, 13, 13 ],
ListSign := [ 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 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 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 15, 15, 17, 17 ],
ListSign := [ 1, -1, 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
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[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, -2, -1,
-1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
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[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, -2, -1,
-1, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 14, 14, 15, 15, 16 ],
ListSign := [ 1, 1, -1, -1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 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, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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 ],
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[ 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 1, 1, 2, 2, 1,
2, 1, 0 ], [ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
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[ 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 1, 1, 2, 2, 1,
2, 1, 0 ], [ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 14, 14, 15, 15, 18 ],
ListSign := [ 1, 1, 1, 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ -2, -2, -3, -2, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, -2, -2, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 4, 3, 4, 3, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 15, 15, 15, 15 ],
ListSign := [ 1, 1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
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[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
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TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
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[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 14, 14, 15, 15, 15, 15, 19 ],
ListSign := [ 1, 1, 1, 1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
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[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
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[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
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[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
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[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ] ) ) ], [ rec(
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[ [ 1, 0, 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 3, 4, 4, 5 ],
ListSign := [ 1, 1, 1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 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, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 9, 9 ],
ListSign := [ 1, 1, -1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 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, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 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, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -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 ],
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[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
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[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 4, 4, 7, 8 ],
ListSign := [ 1, 1, 1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
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[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
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TheRotSubgroup :=
Group([ [ [ 1, 0, 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, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 4, 5, 7, 11 ],
ListSign := [ 1, -1, -1, 1, 1, -1 ],
ListElt :=
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[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
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[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
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[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 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, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 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 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, -1, 0, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6,
6, 6, 10, 10, 10, 13, 13, 13, 13, 13, 13, 15, 15, 15, 15,
15, 15, 15, 15, 15, 15, 15, 15 ],
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, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 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, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
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[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 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, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -2, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ -2, -1, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -4, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
8, 8, 8, 8, 8, 8, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14 ],
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 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
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[ [ 1, 0, 0, 0, 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, 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, 0, 1, 0, 0 ],
[ 0, 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 ],
[ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 5, 7, 9, 9, 11 ],
ListSign := [ 1, -1, -1, 1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -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, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -2, 0, 0 ], [ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
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[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4, 4, 4, 4 ],
ListSign := [ 1, -1, -1, 1, -1, 1 ],
ListElt :=
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[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
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TheMatrixStab :=
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[ 0, -1, -2, -2, 0, 1, 1, 4, 4, 4 ],
[ 1, -1, -2, -2, 1, 2, 2, 4, 4, 4 ],
[ -2, 1, 3, 3, 0, -1, -1, -4, -4, -4 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, -1, 0, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ -2, -3, -1, 1, -4, -1, 2, 0, 1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 0, -1, -1, 0, 0, 1, 2, 2, 2, 0 ],
[ 0, 1, 1, 0, 2, 1, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, -1, -2, -4, -6, -8 ],
[ 0, -1, -2, -2, -2, -2, -1, 0, 2, 4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ],
[ -2, -1, 1, 3, 0, 1, 2, 0, -1, -4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 0, -1, -1, 0, 0, 1, 2, 2, 2, 0 ],
[ 0, 1, 1, 0, 2, 1, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, -1, -2, -4, -6, -8 ],
[ 0, -1, -2, -2, -2, -2, -1, 0, 2, 4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ],
[ -2, -1, 1, 3, 0, 1, 2, 0, -1, -4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 0, 1, 1, 0, 2, 3, 2, 4, 2, 0 ],
[ 0, -1, -1, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -4, -4, -8, -8, -8 ],
[ 0, 1, 2, 2, 2, 3, 3, 4, 4, 4 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ],
[ -2, -2, -3, -3, -2, -3, -3, -4, -4, -4 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 2, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -2, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, -2, -4, -6, -8 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 4 ],
[ 0, 0, 0, 0, 0, 1, 2, 0, -1, -4 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 0, 1, 1, 0, 2, 3, 2, 4, 2, 0 ],
[ 0, -1, -1, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -4, -4, -8, -8, -8 ],
[ 0, 1, 2, 2, 2, 3, 3, 4, 4, 4 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ],
[ -2, -2, -3, -3, -2, -3, -3, -4, -4, -4 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -2, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -4, -4, -8, -8, -8 ],
[ 0, 1, 2, 2, 0, 1, 1, 4, 4, 4 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ],
[ -2, -1, -3, -3, 0, -1, -1, -4, -4, -4 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, -2, -1,
0, 0, 0, 0 ], [ 0, -1, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 16,
16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17,
17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18,
18, 18, 18, 18, 18 ],
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, -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, -1, 1, -1,
1, -1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, -1, 0, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ -2, -3, -1, 1, -4, -1, 2, 0, 1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, -1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, 1, -1, -1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 0, 1, 1, 0, 2, 3, 2, 4, 2, 0 ],
[ 0, -1, -1, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -4, -4, -8, -8, -8 ],
[ 0, 1, 2, 2, 2, 3, 3, 4, 4, 4 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ],
[ -2, -2, -3, -3, -2, -3, -3, -4, -4, -4 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -3, -1, 0, -1, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -2, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 3, 2, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -4, -7, -6, -12, -10, -8 ],
[ 0, 0, 0, 0, 2, 4, 3, 8, 6, 4 ],
[ 0, 0, 0, 0, 4, 6, 4, 9, 6, 4 ],
[ 0, 0, 0, 0, -4, -7, -4, -12, -7, -4 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -2, -1, 0, -4, -3, 0, -2, 0, 0 ],
[ 0, 1, 0, -1, 2, 1, -1, 0, -1, 0 ],
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[ 0, 0, 0, 0, 2, 0, -1, 0, 0, 0 ],
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[ 0, 0, 0, 0, -4, -1, 2, 0, 1, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
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[ 0, -1, -2, -2, 0, 1, 1, 4, 4, 4 ],
[ 1, -1, -2, -2, 1, 2, 2, 4, 4, 4 ],
[ -2, 1, 3, 3, 0, -1, -1, -4, -4, -4 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 0, -1, -1, 0, 0, 1, 2, 2, 2, 0 ],
[ 0, 1, 1, 0, 2, 1, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, -1, -2, -4, -6, -8 ],
[ 0, -1, -2, -2, -2, -2, -1, 0, 2, 4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ],
[ -2, -1, 1, 3, 0, 1, 2, 0, -1, -4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 2, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -2, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, -2, -4, -6, -8 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 4 ],
[ 0, 0, 0, 0, 0, 1, 2, 0, -1, -4 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -2, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
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[ 0, 1, 2, 2, 0, 1, 1, 4, 4, 4 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ],
[ -2, -1, -3, -3, 0, -1, -1, -4, -4, -4 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -2, -2, -2, -3, -2, -4, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -2, -2, -2, -3, -2, -4, -2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ 0, -1, -1, -1, 0, 1, 1, 2, 2, 2 ],
[ 0, 1, 2, 2, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 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 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 1, 1, 2, 1, 0, 0, -1, -2 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -2, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, -1, -1, -2, -1, 0, 0, 1, 2 ],
[ 0, 1, 2, 2, 2, 2, 1, 0, -2, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 2, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 1, 2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, -2, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 2, 3, 2, 4, 2, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 2, 0, 0, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, -1, -2, -2, -4, -6, -5, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 11, 11, 11, 11, 11, 11 ],
ListSign := [ 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 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, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 14, 16, 16, 17, 17, 18 ],
ListSign := [ 1, 1, 1, -1, -1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 15, 15, 15, 15, 19, 19 ],
ListSign := [ 1, 1, 1, 1, 1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -4, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -4, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 14, 15, 15, 15, 18, 18, 18 ],
ListSign := [ 1, -1, -1, -1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -1, -1, -1, 0, 1, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 2, 2, 1,
2, 1, 0 ], [ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, -1, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 0,
2, 1, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 15, 15, 15, 15, 16, 16, 16, 16 ],
ListSign := [ 1, 1, 1, -1, -1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
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[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 1, 1, 2, 2, 1,
2, 1, 0 ], [ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, -2, -2, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 4, 3, 4, 3, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 1, 1, 0, 1, 1,
2, 1, 0 ], [ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 2, 2, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 2, 1, 4, 4, 1, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 15, 15, 15, 15, 17, 17, 17, 17 ],
ListSign := [ 1, 1, 1, -1, -1, 1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, -2, -2, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 4, 3, 4, 3, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 16, 16, 17, 17, 18, 18, 19, 19 ],
ListSign := [ 1, -1, -1, 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
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[ 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, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 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, 0, 1, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
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[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
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[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 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, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 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, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2, 4, 4, 7, 7 ],
ListSign := [ 1, -1, -1, 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
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[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
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[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
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[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
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[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 3, 3, 4, 4, 8 ],
ListSign := [ 1, -1, -1, 1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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TheRotSubgroup :=
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
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5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6,
9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10,
10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
11, 11, 11, 11, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13,
13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13,
13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14,
14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15,
15 ],
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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,
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1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1,
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[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ -2, -1, -3, 1, 0, -1, 1, -4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3, 3, 4, 4, 7, 7 ],
ListSign := [ 1, -1, 1, 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 4, 4, 4, 7, 7, 7, 10 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -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, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 1,
0, 1, 0 ], [ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -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, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -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, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -2, 0, 0 ], [ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 8 ],
ListSign := [ 1, -1, -1, 1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -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, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 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, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 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, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 11, 11, 12, 13, 13, 14, 15, 16, 16 ],
ListSign := [ 1, -1, -1, -1, 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
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TheMatrixStab :=
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[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 2, 2, 1, 1, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, 0, -1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
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[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ], [ 0, -1, -2, -1, -2,
-4, -2, -8, -4, -2 ], [ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 11, 11, 11, 11, 11, 11, 16, 16, 16 ],
ListSign := [ 1, -1, -1, 1, -1, 1, -1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -1, -1, -1, 0, 1, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 2, 2, 1, 1, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, 0, -1, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 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, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -2, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 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, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ -2, -1, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 1, 1, 1, 2, 2, 1,
2, 1, 0 ], [ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -1, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 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 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 1, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 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 ],
[ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 1, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 2, 1, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ -2, -2, -1, 0, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 4, 3, 4, 3, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 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, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2, 4, 4, 5, 5, 6 ],
ListSign := [ 1, -1, -1, 1, -1, -1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 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, 0, 1, 0, 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, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
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[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
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[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 2, 2, 2, 2, 4, 4 ],
ListSign := [ 1, -1, -1, 1, 1, -1, -1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
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[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
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[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
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[ 0, -1, -1, 0, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ -2, -3, -3, -1, -4, -3, -1, 0, 0, 0 ],
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[ 0, -1, -1, 0, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
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[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ -2, -3, -3, -1, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 3, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ -2, -2, -1, -1, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -4, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -4, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1,
0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -4, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 8, 8, 8, 10 ],
ListSign := [ 1, -1, -1, -1, 1, 1, -1, 1, 1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ -2, -3, -3, -1, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 3, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -4, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ -2, -2, -1, -1, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ -2, -3, -3, -1, -4, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 3, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
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[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 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, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 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, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, -2, -1, 0, -4, -2, -8, -4, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 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, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -1, 0, 0, 0,
0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 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, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 7, 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 ], [ 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0 ],
[ 0, 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 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 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, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 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, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 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, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
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[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0,
0, -1, -2 ], [ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 2, 2, 2 ],
ListSign := [ 1, 1, 1, 1, 1, 1, -1, -1, -1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -2, 0, 0 ], [ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -2, 0, -2, -2, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -2, 0, -4, -3, 0, -2, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 1, 2, 1, 4, 5, 2, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 0, 0, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
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[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 2, 2, 1, 4, 4, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 2, 3, 2, 1, 4, 3, 2, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -1, -8, -6, -2, -4, -1, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 2, 2, 1, 4, 4, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -2, 0, -4, -3, 0, -2, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, -1,
0, -4, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -2, 0, -2, -2, -4, -3, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -2, 0, -4, -3, 0, -2, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 2, 3, 2, 1, 4, 3, 2, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -1, -8, -6, -2, -4, -1, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 2, 1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 4, 3, 2, 2, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -3, 0, -2, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ] ] ] ) ) ], [ rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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, -1, 0, 0, -1, 0, -2, -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, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 0, 0, 0, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, -1, 0, 0,
-1, 0, -1, -2 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 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, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 0, -2, 0,
0, 0, 0, 0 ], [ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
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[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, -2, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 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, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 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, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, -1, 0, 0, -1,
0, -4, -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, -1, -1, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -2, -2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ -2, -2, -1, -1, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
ListElt :=
[ [ [ 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0 ],
[ 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, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 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, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -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 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
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[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, -1, 0, -4, -1, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ] ] ) ) ] ];