Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.
Real-time collaboration for Jupyter Notebooks, Linux Terminals, LaTeX, VS Code, R IDE, and more,
all in one place.
| Download
GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418386HAP_GCOMPLEX_SETUP:=[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 ] ] ]),
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 ] ] ]),
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 ] ],
[ [ 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, 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 := [ 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, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 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, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 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, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 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 ], [ -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, 3 ],
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([ [ [ 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([ [ [ 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ -2, -1, -1, 0, 0, 1, 1, 4, 3, 2 ],
[ 4, 4, 5, 2, 4, 5, 2, 4, 1, 0 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ 2, 2, 2, 1, 0, -2, -2, -6, -5, -4 ],
[ -4, -6, -7, -4, -8, -8, -4, -6, -2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -4, -2, 1, 2, 0, 2, 2, 2, 1, 0 ],
[ 4, 4, 2, 0, 4, 2, 0, 1, 0, 0 ] ] ]),
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 ] ],
[ [ 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, 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 := [ 2, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ -2, -1, -1, 0, 0, 1, 1, 4, 3, 2 ],
[ 4, 4, 5, 2, 4, 5, 2, 4, 1, 0 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ 2, 2, 2, 1, 0, -2, -2, -6, -5, -4 ],
[ -4, -6, -7, -4, -8, -8, -4, -6, -2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -4, -2, 1, 2, 0, 2, 2, 2, 1, 0 ],
[ 4, 4, 2, 0, 4, 2, 0, 1, 0, 0 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 2, 3 ],
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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ] ]),
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 ],
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, 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 ] ] ] ) ) ], [ 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 2, 4, 5, 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, 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, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 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, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 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, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, -1, -1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, -1, -2, 0, 0, 1, 1, 4, 2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 2, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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 ] ] ]),
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 := [ 1, 1, 1, 1, 3, 3, 6, 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 ] ],
[ [ 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, 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 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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 ] ],
[ [ 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, 3, 1, 4, 1, 0 ],
[ 0, -2, -2, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 2, 4, 2, 4, 6, 3, 8, 4, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -4, -4, -6, -3, -4, -6, -3, -8, -4, -2 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 2, 1, 0, -2, 0, -1, -1, -2, 0, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 2, 0, 0, 1, 0, 1, -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, 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 := [ 2, 2, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
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 := [ 2, 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 ] ],
[ [ 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, 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, 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 ] ] ]),
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 := [ 3, 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 ],
[ 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, 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([ [ [ 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 := [ 3, 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 ] ],
[ [ 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([ [ [ 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 5, 5, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ] ] ) ), 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ],
[ [ 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 ] ] ]),
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 := [ 5, 5, 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, 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, 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 ] ],
[ [ 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 ] ] ]),
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 := [ 5, 5, 6 ],
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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 5, 5, 5, 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, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 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 ],
[ 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, 1, 2, 1, 4, 2, 1 ], [ 0, -1, -2, -1, -4,
-6, -3, -8, -4, -2 ], [ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ], [ 0, -1, -2, -1, -4,
-6, -3, -8, -4, -2 ], [ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ] ]),
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, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -3, -2, -1, -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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 1, 1, 0, 1, 1,
2, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -3, -2, -1, -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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 6, 6, 6 ],
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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ] ] ) ) ], [ 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 ],
[ -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 ],
[ -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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ] ]),
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, 1, 1, 2, 3, 3, 10, 10, 11 ],
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, 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, 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, 0, 0, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, -2, -1, 0, 0, 0, -2, -1, 0 ],
[ 2, 1, 3, 1, 0, 1, 1, 4, 2, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -3, 0, 0, -1, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, -1, -2, -2, 0, 1, 0, 4, 2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ 0, 1, 2, 2, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 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([ [ [ 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 ] ],
[ [ 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, -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 ],
[ 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 5, 5, 8, 8, 9, 9 ],
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, 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 ],
[ -2, -1, -2, -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, -1, 0, 0, -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 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -1, 0 ],
[ -2, -1, 0, 1, 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, -1, 0, 0, 0, 0, 1, 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 ],
[ -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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 ],
[ -2, -1, -2, -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, -1, 0, 0, -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 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -1, 0 ],
[ -2, -1, 0, 1, 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, -1, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2 ],
[ 0, 0, 1, 1, 0, -1, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, -1, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, -2, 0, -2, 0, 0, -2 ],
[ 1, -1, 0, -1, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 0, 0, -2, -2, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 2, 2, 0, 1, 1, 4, 2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -4, -1, 1, 2, 0, 1, 1, 2, 1, 0 ],
[ 4, 1, 0, -2, 0, -1, -1, -4, -2, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -8, -4, -6, 0, -2, -3, 0, -4, 0, 0 ],
[ 4, 2, 4, 0, 1, 2, 0, 4, 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, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 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, 1, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, -1, -1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, -1, -2, 0, 0, 1, 1, 4, 2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 2, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ] ]),
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 := [ 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 13, 13, 13, 13 ],
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 ] ],
[ [ 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, 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 ] ],
[ [ 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, 1, -1, 0, 0, 0, 0, 1, 0 ],
[ 2, 1, 0, 2, 0, -1, 0, -2, -2, 0 ],
[ 1, 0, 0, 1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, -3, 0, 0, -1, 0, -1, -4 ],
[ 1, 1, 1, 2, 1, 1, 2, 1, 2, 4 ] ],
[ [ 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, -1, 0, 0, 1, 2 ],
[ 0, 1, 1, 1, 2, 2, 0, 2, 0, -2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 1, 2, 0, 1, 1, 0, -1, -2 ],
[ 2, 1, 0, -2, 0, -1, -1, -2, 0, 2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 2, -2, -1, 2, 0, 1, -2 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 2, 0, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ -2, 0, 3, 2, 2, 3, 2, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 1, 3, 1, 0, -1, 0, -4, -1, 0 ],
[ 2, -1, -4, -2, 0, 1, 0, 6, 2, 0 ],
[ 1, -1, -2, -1, 1, 2, 1, 4, 2, 1 ],
[ -2, 2, 5, 3, -2, -5, -3, -12, -7, -4 ],
[ 1, -1, -3, -2, 1, 3, 2, 9, 6, 4 ] ] ] ) ), 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 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 ] ] ]),
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 := [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7,
7, 7, 7, 7, 12, 12, 12, 12, 12, 12 ],
ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
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 ] ],
[ [ 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 ] ],
[ [ 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, 2, 1, 1, 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 ],
[ -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 ] ],
[ [ 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 ] ],
[ [ 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, 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 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 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, 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 ] ],
[ [ 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, 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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 2, 1, 1, 4, 1, 1, 0, 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, 2, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 4, 2, 2, 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, 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, 0, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 2, 1, 0, 4, 2, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, -1, 0 ],
[ 0, 0, 2, 0, 0, 2, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, -1, -3, 0, -1, -2 ],
[ 0, 2, 0, 2, 4, 1, 3, 0, 1, 2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -4, -6, -3, -3, -8, -4, -4, -2, -2, -2 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 2, 1, 0, -2, 0, -1, -1, -2, 0, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 2, 0, 0, 1, 0, 1, -2 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -4, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -6, -3, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 0, 0, -8, -6, -4, -4, -3, -2 ],
[ 0, 2, 1, 1, 12, 9, 5, 6, 4, 2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -12, -12, -5, -12, -5, -2 ],
[ 1, 3, 3, 1, 9, 9, 3, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, -1, -1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 2, 2, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 2, 2, 1, -4, -4, -3, -4, -3, -2 ],
[ 0, -4, -4, -2, 0, 2, 2, 4, 3, 2 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -4, 2, 3, 3, 0, -1, -1, -2, -2, -2 ],
[ 4, 0, -2, -2, 0, 0, 0, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ 0, 2, 1, 1, -4, -3, -3, -2, -2, -2 ],
[ 0, -2, 0, -1, 4, 2, 3, 0, 1, 2 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 0, 0, -8, -2, -4, 0, -1, -2 ],
[ 0, 0, 0, 0, 4, 0, 2, 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 ] ],
[ [ 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 ],
[ -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, -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 := [ 3, 3, 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 ] ],
[ [ 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, 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([ [ [ 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 := [ 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 ] ],
[ [ 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 := [ 3, 3, 5, 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, 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 ],
[ -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 ],
[ -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 ] ] ] ) ), 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 := [ 3, 4, 5, 7 ],
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, 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, 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, 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 := [ 4, 4, 5, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 4, 5, 6, 7 ],
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, 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 ], [ -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, 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 := [ 7, 7, 7, 7 ],
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 ],
[ -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, 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 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 3, 1, 4, 3, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 8, 8, 9, 9, 11, 12 ],
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, 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, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 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 ] ],
[ [ 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 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ] ]),
TheRotSubgroup :=
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, 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 := [ 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, 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, 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 ] ],
[ [ 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, 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, 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, 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 ] ],
[ [ 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, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 3, 6, 4, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -4, -5, -3, -6, -4, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -4, -1, -4, -5, -1, -6, -1, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ], [ 0, -1, -2, -1, -4,
-6, -3, -8, -4, -2 ], [ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 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 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 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 ] ] ]),
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 ] ],
[ [ 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, 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 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 3, 6, 4, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -4, -5, -3, -6, -4, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -4, -1, -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 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 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, 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, 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 ] ] ]),
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 := [ 10, 10, 10, 13 ],
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, 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, 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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 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, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 4, 2, 1, 0, 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, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, -4, -1, -4, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -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 ] ] ]),
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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 4, 2, 1, 0, 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, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 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, 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, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 2, 2, 1, 4, 2, 1, 0, 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, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -3, -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, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ], [ 0, 0, -1, 0, 0, -1,
0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ] ]),
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, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -4, -2, -8, -4, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 12, 12, 12, 12, 12 ],
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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 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, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 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, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -5, -2, -6, -2, 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, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ] ],
[ [ 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 ] ] ] ) ) ], [ 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, 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, 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, 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, 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 ],
[ -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, -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 ],
[ 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 ],
[ -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, 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 ],
[ -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, 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, 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, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 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 ] ],
[ [ 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, 1, 1, 3, 5, 5, 5, 5, 17, 17, 17, 17,
18 ],
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, 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, 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, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 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, 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, 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, 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, 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, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 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, 0, 1, 0, 2, 1, 0 ],
[ 0, -1, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 1, 1, 1, 0, 0, 1, 0, 1, 2 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, -2, -1, 0, 0, 0, -2, -1, 0 ],
[ 2, 0, 1, 1, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, -1, -2, 0, 0, 0, 0, -1, -2 ],
[ 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, 2, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -4, -2, -1, -8, -4, -2, -2, -1, 0 ],
[ 2, 3, 1, 0, 4, 1, -1, 0, -1, -2 ],
[ 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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 1, 0, 1, 1, 2, 1, 0 ],
[ 2, 1, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, -1, 0, -1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 2, 0, -1, 0, 0, 0, 0, 0, -1, -2 ],
[ 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, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 2, 3, 4, 2, 4, 5, 3, 6, 4, 2 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -2, 0 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -2, -4, -6, -3, -8, -12, -6, -18, -9, -4 ],
[ 2, 3, 5, 2, 4, 7, 2, 12, 4, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -3, -5, -1, -4, -7, -1, -12, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 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, 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([ [ [ 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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 ],
[ 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 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 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, 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 ] ] ]),
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 := [ 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 7, 7, 7, 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 ],
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, 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, 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, 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 ] ],
[ [ 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 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 ] ],
[ [ 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, -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 ] ],
[ [ 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 ] ],
[ [ 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, 2, 2, 4, 3, 2 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -2, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 2, 1, -1, 0, 0, -1, -1, 0, -1, -2 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, 1, -1, 0, 1, 0, 0, 1, 0 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 0, -1, -1, -1, 0, -2, -1, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -2, -2, 0, -1, -1, -2, -2, -2 ],
[ 2, 1, 3, 2, 0, 2, 1, 4, 3, 2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, -3, -2, 0, 0, 0, -4, -3, -2 ],
[ 1, 0, 2, 1, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 0, 1, 1, 1, 2, 4, 2, 6, 4, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 2, 1, 3, 0, 0, 0, -1, 0, -3, -2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -5, -1, -2, -5, -1, -12, -2, 0 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, -1, 0, 0, 1, 0, 4, 2, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 1, 0, 1, 0, 1, 0, 2, 1, 0 ],
[ 2, -1, -1, -2, 0, -1, 0, -4, -2, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -2, 2, 3, 3, -2, -3, -3, -4, -4, -4 ],
[ 1, -1, -2, -2, 1, 2, 2, 4, 4, 4 ] ],
[ [ 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, 0, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -2, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 2, 1, -1, -2, 0, -1, -2, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 1, 3, 0, 1, 2, 0, -1, -4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ] ] ] ) ), 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, 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 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ],
[ 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 ] ],
[ [ 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 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 1, 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 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, -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 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -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 ],
[ -2, -1, -2, -1, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, -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 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -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, 1, 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 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 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 ] ],
[ [ 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, 0, 0, 0,
0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -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, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4,
8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 12,
12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13 ],
ListSign := [ 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1,
-1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, -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 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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 ] ],
[ [ 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 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 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 ] ],
[ [ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, -2, 0, 0, -2 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, -1, 0 ],
[ 2, 3, 2, 2, 4, 2, 3, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 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, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, -2, 0, 0, -2 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -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 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, 0, -2, -4, 0, -8, 0, 0 ],
[ 0, 1, 2, 0, 2, 3, 1, 4, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 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, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, 0, -2, -4, 0, -8, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -2, 0 ],
[ 2, 3, 4, 1, 4, 6, 1, 8, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 2, 0, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, -2, 0, -4, -6, -1, -8, -2, 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, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 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, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 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 ] ],
[ [ 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, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 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, 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 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, -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 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, -1, -2, 0, -4, -6, -1, -8, -2, 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, 0, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 2, 2, 3, 1, 0, 2, 0, 4, 1, 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, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, 0, -1, 0, 1, 0, 2, 1, 0 ],
[ 2, 2, 1, 1, 0, -2, 0, -4, -1, 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, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, -1, 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, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 1, 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, 0, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ -2, -2, -1, -1, 0, 2, 0, 4, 1, 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, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, -1, 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, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 1, 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 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 2, 1, 3, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 2, 2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, -3, -2, 0, 0, 0, -4, -3, -2 ],
[ 1, 0, 2, 1, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 2, 1, -1, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 2, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 3, 2, 0, 0, 0, -4, -3, -2 ],
[ 1, 0, -2, -1, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 2, 0, 4, 3, 1, 2, 1, 0 ],
[ 0, -2, -2, 0, -4, -2, -1, 0, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -6, -5, -3, -8, -6, -4, -4, -3, -2 ],
[ 4, 6, 4, 3, 8, 4, 4, 0, 2, 2 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ -8, -8, -2, -4, -8, -2, -4, 0, -1, -2 ],
[ 4, 4, 0, 2, 4, 0, 2, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 1, 1, 4, 3, 3, 2, 2, 2 ],
[ 0, -2, 0, -1, -4, -2, -3, 0, -1, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -1, -1, -8, -6, -4, -4, -3, -2 ],
[ 0, 2, 0, 1, 8, 4, 4, 0, 2, 2 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 0, 0, -8, -2, -4, 0, -1, -2 ],
[ 0, 0, 0, 0, 4, 0, 2, 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, 0, -1, 1, -2, 0, 2 ],
[ 0, -1, -1, -1, 0, 2, -1, 4, 1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 1, -2 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, -2, 2 ],
[ 1, 0, -1, 1, 0, 0, 0, 1, -1, 1 ],
[ -2, 0, 3, -2, 0, 0, 0, -4, 3, -2 ],
[ 1, 0, -2, 1, 0, 0, 0, 4, -2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 2, 4, 5, 3, 6, 4, 2 ],
[ 0, -2, -2, -2, -4, -6, -3, -8, -5, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -6, -7, -3, -8, -10, -4, -12, -5, -2 ],
[ 4, 6, 8, 3, 8, 12, 4, 16, 6, 2 ],
[ 4, 4, 6, 2, 4, 6, 2, 9, 3, 1 ],
[ -8, -8, -14, -4, -8, -14, -4, -24, -7, -2 ],
[ 4, 4, 8, 2, 4, 8, 2, 16, 4, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 1, 0, 0, 1, -1, 2, -1, 0 ],
[ 0, -1, -1, 0, 0, -2, 1, -4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 1, -2 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, -2, 2 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 0, -3, 2, 0, 0, 0, -4, 3, -2 ],
[ 1, 0, 2, -1, 0, 0, 0, 4, -2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 3, 1, 4, 5, 1, 6, 1, 0 ],
[ 0, -2, -4, -1, -4, -6, -1, -8, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -3, -1, -8, -10, -4, -12, -5, -2 ],
[ 0, 2, 4, 1, 8, 12, 4, 16, 6, 2 ],
[ 0, 0, 0, 0, 4, 6, 2, 9, 3, 1 ],
[ 0, 0, 0, 0, -8, -14, -4, -24, -7, -2 ],
[ 0, 0, 0, 0, 4, 8, 2, 16, 4, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ -2, -3, -3, -2, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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, 1, 1, 0, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -2, -2, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 1, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, -1, -4, 0, -1, -4 ],
[ 1, 2, 1, 2, 4, 2, 4, 1, 2, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 0, 1, 1, 1, 4, 5, 2, 6, 3, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 2, 1, 0, 2, 0 ],
[ 0, -1, 0, -1, -4, -3, -2, 0, -3, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -5, 0, -4, -7, 0, -12, 0, 0 ],
[ 1, 2, 3, 0, 4, 6, 0, 9, 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, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, -1, -1, -4, -5, -2, -6, -3, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -4, -1, -8, -2, 0 ],
[ 0, 1, 2, 1, 4, 7, 2, 12, 3, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, 0, -4, -7, 0, -12, 0, 0 ],
[ 1, 2, 3, 0, 4, 6, 0, 9, 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, 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, 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, -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, 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, 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, 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 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 1, 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, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 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, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 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, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 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, 0, 0, 0, -1, -2 ],
[ 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, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 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([ [ [ 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 := [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16 ],
ListSign := [ 1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1,
-1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1,
-1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1
],
ListElt :=
[ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -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, 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, 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, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 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, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 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, 0, 0, 0, -1, -2 ],
[ 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, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 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 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -1, -1, 0, 0, 0, 1, 0, 1, 2 ],
[ 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, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 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, -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 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 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 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -4, -4, -3, -3, -4, -3, -3, -2, -2, -2 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 2, 1, 0, 1, 0, -1, 0, -2, -1, 0 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ -4, -4, -3, -1, -4, -3, -1, -2, -1, 0 ],
[ -4, -2, 1, -1, 0, 2, 0, 2, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 2, 1, 0, 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, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -2, -2, -2, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 2, 4, 2, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -4, -3, -2, 0, -2, -1, 0, 0, 0, 0 ],
[ 4, 2, 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, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, -1, 0 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -2, -4, -1, -3, 0, -1, -2 ],
[ 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, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, 0, -2, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 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, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 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 ],
[ -4, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -4, -3, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ -4, -3, -5, -2, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 2, 1, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, -1, 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, -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, 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, 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, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 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, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 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, 0, 0, 0, -1, -2 ],
[ 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, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 2, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -4, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -4, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ -4, -1, 1, 2, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -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 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, 1, 0, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -4, -4, -1, -1, -4, -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 ],
[ 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 ] ],
[ [ 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 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 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, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -2, -2, -2, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 2, 4, 2, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -4, -3, -2, 0, -2, -1, 0, 0, 0, 0 ],
[ 4, 2, 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, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, -1, 0 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -2, -4, -1, -3, 0, -1, -2 ],
[ 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, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -1, 0, -2, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 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, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 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 ],
[ -4, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -4, -3, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ -4, -3, -5, -2, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 4, 4, 3, 1, 4, 3, 1, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -4, -6, -5, -3, -8, -6, -4, -4, -3, -2 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -4, -2, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -4, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 2, 0, 0, 1, 0, 0, 0, 0 ],
[ -8, -6, -4, -2, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -2, 0, 0, -2, 0, -4, -1, 0 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ] ],
[ [ 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, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 0, -1, 1, 0, 0, 0, 1, 0, -1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, -1, 0, 0, 1, 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, -1, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, -2, 0, -1, -2 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -3, -1, -2, -4, -1, -3, 0, -1, -2 ],
[ 0, 2, 1, 1, 4, 1, 3, 0, 1, 2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ 0, -2, -1, -1, -8, -4, -4, -2, -2, -2 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ] ],
[ [ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 2, 0, 0, -1, 0, 0, 0, -2, -1, 0 ],
[ -4, -1, 0, 1, 0, 1, 1, 4, 3, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 4, 1, 2, -1, 0, 0, -1, 0, -2, -2 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -4, -1, -4, -1, 0, -1, 0, -4, -1, 0 ],
[ 4, 2, 4, 2, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -4, -1, 2, 0, 0, 1, 0, 0, 0, 0 ],
[ 4, 2, 0, 1, 0, -2, 0, -4, -1, 0 ],
[ -4, -3, -1, -2, 0, 3, 0, 6, 2, 0 ],
[ 4, 2, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -8, -6, -4, -2, -4, -2, -1, 0, 0, 0 ],
[ 8, 8, 6, 4, 6, 3, 2, 0, 0, 0 ],
[ 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 ] ],
[ [ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -4, -6, -3, -3, -8, -4, -4, -2, -2, -2 ],
[ 2, 2, 0, 1, 0, -2, 0, -2, -1, 0 ],
[ 0, 1, 2, 0, 4, 5, 1, 4, 2, 0 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ -4, -2, 1, -1, 0, 2, 0, 2, 1, 0 ],
[ 0, -2, -4, 0, -4, -5, -1, -4, -2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 2, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -4, -4, -6, -3, -4, -6, -3, -8, -4, -2 ],
[ 4, 3, 4, 2, 2, 2, 1, 0, 0, 0 ],
[ -4, -2, -3, -1, 0, 1, 1, 4, 3, 2 ],
[ 4, 4, 4, 2, 4, 4, 2, 4, 2, 1 ],
[ -8, -6, -4, -2, -4, -2, -1, 0, 0, 0 ],
[ 8, 4, 2, 0, 0, -2, -2, -4, -3, -2 ],
[ 4, 2, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -8, -2, 2, 2, 0, 1, 1, 0, 0, 0 ],
[ 4, 0, -2, -2, 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, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 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, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, -1, -2, -2, 0, 1, 0, 4, 2, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ 0, 1, 2, 2, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -4, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -4, -2, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -8, -6, -4, -2, -4, -3, -1, -2, -1, 0 ],
[ 8, 6, 2, 2, 4, 2, 1, 0, 1, 0 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ -8, -8, -2, -4, -8, -2, -4, 0, -1, -2 ],
[ 4, 4, 0, 2, 4, 0, 2, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 2, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, -2, 0, 0, -3, 0, -6, -2, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -4, -2, -4, -1, 0, -2, 0, -4, -1, 0 ],
[ 4, 3, 5, 2, 0, 3, 0, 6, 2, 0 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ -4, -1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, 2, 1, 0, 0, 0, -2, -1, 0 ],
[ 4, 1, -2, -1, 0, -1, 0, 0, 1, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -4, -1, 2, 3, 0, 1, 1, 0, -1, -2 ],
[ 4, 2, 0, -2, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -4, -4, -3, -3, -4, -3, -3, -2, -2, -2 ],
[ 4, 3, 3, 2, 2, 2, 1, 2, 1, 0 ],
[ -4, -3, -4, -2, -2, -3, -1, -4, -2, 0 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ -8, -6, -4, -2, -4, -3, -1, -2, -1, 0 ],
[ 8, 6, 6, 2, 4, 5, 1, 4, 2, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -8, -4, -6, 0, -2, -3, 0, -4, 0, 0 ],
[ 4, 2, 4, 0, 1, 2, 0, 4, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 5, 6, 7, 8, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -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, 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 := [ 6, 6, 6, 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 ] ],
[ [ 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, 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, 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, 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 := [ 6, 8, 8, 10, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 := [ 6, 7, 8, 8, 9 ],
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 ] ],
[ [ 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 ],
[ -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, 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 := [ 7, 7, 7, 7, 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, 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, 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 := [ 7, 8, 8, 10, 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 ],
[ -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, 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, 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 ],
[ -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 ],
[ -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 := [ 8, 8, 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 ],
[ -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, -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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 9, 10, 10, 10, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 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, -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, 0, 0, 0, 1, 1, 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 ] ] ] ) ), 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ], [ -2, -2, -3, -1, -2,
-3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 12, 13, 13, 14, 14, 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 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 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, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 2, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -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 ] ] ] ) ), 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ],
[ [ 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 ] ] ]),
TheRotSubgroup :=
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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 12, 12, 12, 14, 14 ],
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, 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, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 2, 2, 3, 1, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -1, -2, -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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ] ] ) ), 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, 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, 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 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ] ]),
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 := [ 12, 12, 14, 14, 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, 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, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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, 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, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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, 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 ] ] ]),
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 := [ 12, 12, 12, 12, 13, 13, 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 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ -2, -3, -3, -1, -4, -5, -2, -4, -1, 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, 2, 0, 2, 0, 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 ] ],
[ [ 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 ] ] ] ) ), 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 ] ],
[ [ 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ] ]),
TheRotSubgroup :=
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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 12, 12, 13, 13, 14, 14, 15 ],
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, 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, 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, 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ],
[ [ 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, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 14, 14, 14, 14, 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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 2, 6, 2, 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, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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 ] ],
[ [ 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 ] ] ] ) ), 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 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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 := [ 14, 14, 14, 14, 14, 14 ],
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, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 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, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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 ] ] ] ) ) ], [ 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, -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, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ] ]),
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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3,
3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15,
15, 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 ],
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, 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, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 2, 4, 2, 8, 4, 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, 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, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 2 ],
[ 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, 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, -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, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, -1, -2, -1, -2, -2, 0, 0, 2, 2 ],
[ 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, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, 0, 0, -2, -2, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, -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, 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 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, -1, -2, -1, -2, -2, 0, 0, 2, 2 ],
[ 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 1, 0, 0, 4, 2, 1, 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, -2, -2, -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, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, 0, 0, -2, -2, 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 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 0, -1, -2, -1, 0, 0, 1, 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, -2, -2, -1, 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, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, 0, 0, -2, -2, -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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 2, 4, 2, 8, 4, 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, 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, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 2, 1, 2, 2, 0, 0, -2, -2 ],
[ 0, -1, -1, 0, -2, -1, 1, 0, 1, 0 ],
[ 0, 1, 0, 0, 2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 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, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 2 ],
[ 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, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 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, -2, -2 ],
[ 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, 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 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 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, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, -1, -2, -1, -4, -6, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, 0, 0 ],
[ 0, 1, 2, 1, 4, 6, 2, 8, 2, 0 ],
[ 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, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, 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, 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, 0, 0, -1, 0, -1, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 0, -2, -2, -2, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 2, 0, 0, 1, 0, 2, 2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -4, -1, -4, -3, 0, -1, -1, -4, -3, -2 ],
[ 4, 2, 4, 2, 1, 2, 1, 4, 2, 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, -2, 0, -6, -2, 0 ],
[ 0, 0, 2, 0, 0, 3, 0, 8, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -3, -4 ],
[ 0, 0, 0, 2, 0, 0, 3, 0, 4, 4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -4, -7, -10, -6, -12, -17, -10, -24, -14, -8 ],
[ 4, 6, 8, 4, 9, 12, 6, 16, 8, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, 0, -4, -3, -1, -2, -1, 0 ],
[ 0, 2, 2, 0, 6, 5, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -1, -2 ],
[ 0, 0, 0, 2, 0, 0, 3, 0, 2, 2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -4, -7, -4, -3, -12, -7, -5, -4, -3, -2 ],
[ 4, 6, 4, 2, 9, 6, 3, 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, 0, 0, 2, 2, 2 ],
[ 0, 2, 2, 2, 4, 2, 1, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 1, 0, -4, -3, -2 ],
[ 0, -2, -4, -2, -4, -4, -1, 0, 2, 2 ],
[ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ],
[ -4, -4, 2, 3, -4, 2, 3, 0, -1, -2 ],
[ 4, 4, 0, -2, 4, 0, -2, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -2, -2, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 2, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -4, -1, 2, 0, 0, 1, 0, 0, 0, 0 ],
[ 4, 2, 0, 0, 1, 0, 0, 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, 1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, -2, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, -2, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -4, 2, 2, 3, 0, 0, -1, 0, -1, -2 ],
[ 4, 0, 0, -2, 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, 1, 1, 0, 0, 0, 2, 0, -2 ],
[ 0, 0, -2, -2, 0, -1, -1, -4, -1, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, -1, 0, 0, 0 ],
[ 0, -2, 0, 0, -2, -2, 1, 0, 0, 0 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -4, -1, -4, 3, 0, -1, 1, -4, 3, -2 ],
[ 4, 2, 4, -2, 1, 2, -1, 4, -2, 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, 0, 1, 2, 2, 2, 0 ],
[ 0, 2, 2, 0, 2, 1, -2, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, -2, -4, -5, -4 ],
[ 0, -2, -4, -2, -2, -2, 1, 0, 4, 4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ],
[ -4, -1, 2, 6, 0, 1, 2, 0, -2, -8 ],
[ 4, 2, 0, -4, 1, 0, -2, 0, 0, 4 ] ],
[ [ 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, -3, -3, -6, -4, -2 ],
[ 0, 0, 2, 2, 0, 4, 4, 8, 5, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -6, -3, -1, 0, 0, 0 ],
[ 0, 2, 0, 0, 8, 4, 1, 0, 0, 0 ],
[ 1, 3, 3, 1, 9, 9, 3, 9, 3, 1 ],
[ -4, -10, -10, -3, -24, -24, -7, -24, -7, -2 ],
[ 4, 8, 8, 2, 16, 16, 4, 16, 4, 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, -4, -1, -6, -1, 0 ],
[ 0, 2, 2, 0, 4, 6, 1, 8, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 3, 1, 0, 0, 0 ],
[ 0, -2, 0, 0, -4, -4, -1, 0, 0, 0 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ],
[ -4, -4, -10, -3, -4, -10, -3, -24, -7, -2 ],
[ 4, 4, 8, 2, 4, 8, 2, 16, 4, 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, -2, 0, -2, 1, 0 ],
[ 0, 0, 2, 0, 0, 3, 0, 4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 1, 0, 0, 0 ],
[ 0, 2, 0, 0, 6, 2, -1, 0, 0, 0 ],
[ 1, 2, 1, -1, 4, 2, -2, 1, -1, 1 ],
[ -4, -7, -4, 3, -12, -7, 5, -4, 3, -2 ],
[ 4, 6, 4, -2, 9, 6, -3, 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, 4, 5, 2, 6, 3, 0 ],
[ 0, -2, -2, -2, -6, -7, -3, -8, -4, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -7, -2, -12, -3, 0 ],
[ 0, 2, 4, 2, 6, 10, 3, 16, 4, 0 ],
[ 1, 2, 3, 0, 4, 6, 0, 9, 0, 0 ],
[ -4, -7, -10, 0, -12, -17, 0, -24, 0, 0 ],
[ 4, 6, 8, 0, 9, 12, 0, 16, 0, 0 ] ],
[ [ 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, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, -1, 0, 0, 0, 0, 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, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, -1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 0 ],
[ 2, 1, 3, 1, 0, 1, 1, 4, 2, 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, -1, -1, 0, -4, -4, 0, -4, 0, 0 ],
[ 0, 1, 1, 0, 2, 1, -1, 0, -1, 0 ],
[ 0, -1, -1, 0, -2, 0, 1, 2, 1, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -2, 1, -4, -2, 2, 0, 2, 0 ],
[ 2, 3, 1, -1, 4, 0, -2, -4, -2, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, 1, 2, -2, 1, 2, 0, -1, -2 ],
[ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, 0, -4, 0, 0 ],
[ 0, 1, 1, 0, 4, 4, 1, 4, 1, 0 ],
[ 0, -1, -1, 0, -4, -5, -2, -6, -2, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 2, 4, 5, 2, 8, 10, 4, 12, 4, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -3, -8, -10, -6, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, 0, -4, 0, 0 ],
[ 0, 1, 1, 0, 2, 3, 0, 4, 0, 0 ],
[ 0, -1, -1, 0, 0, -1, 1, -2, 1, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -6, 0, -8, 0, 0 ],
[ 2, 2, 3, -1, 0, 2, -2, 4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -1, -3, 1, 0, -1, 1, -4, 2, 0 ],
[ 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 ] ],
[ [ 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 ] ],
[ [ 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 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, -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, 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 ],
[ -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 ] ] ]),
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 := [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6,
9, 9, 9, 9, 9, 9, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19 ],
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 ] ],
[ [ 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, 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, 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, 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 ] ],
[ [ 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, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 2, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 2, 1, 0, -1, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -2, -1, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ],
[ [ 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, 2, 1, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 1, 1, 0, 0, 0, -1, 0, -1, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 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, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, -1, -1, -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, 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, 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 ] ],
[ [ 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, 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, 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 ] ],
[ [ 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, 1, 0, 2, 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, -2, -2, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, -1, 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 ],
[ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 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, -1, -2, -1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 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, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 2, 2, 1, 4, 2, 1, 0, 0, 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 ] ],
[ [ 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 ],
[ 2, 2, 3, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -2, -3, -2, -4, -2, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, -3, -3, 0, -1, -1, -4, -4, -4 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, 0, -1, -2, -1, -2, 0, -1, -2 ],
[ 0, 1, -1, 0, 2, 0, 1, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, 1, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, -1, 0, 1, 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, 0, 2, 1, 4, 3, 2 ],
[ 0, 1, 1, 1, 2, 0, 0, -2, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, -1, -2, -1, -2, -1, 0, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, -4, -3, -2 ],
[ 1, 1, -1, -1, 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, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, -1, -1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -2, 2, 3, 2, -2, -3, -2, -4, -3, -2 ],
[ 1, -1, -2, -1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 2, 3, 1, 4, 2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, 0, -1, 0, 1, 0, 2, 1, 0 ],
[ 0, -1, -2, 0, -2, -3, -1, -4, -2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 2, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 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, 0, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -2, 0, -2, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, -1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 2, -2, -1, 2, 0, 1, -2 ],
[ 1, 1, 1, -1, 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, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 2, 0, 0, 1, 0, 4, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -4, -3, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 4, 3, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -8, -4, -6, -2, -2, -3, -1, -4, -1, 0 ],
[ 4, 2, 4, 2, 1, 2, 1, 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, 1, 4, 2, 0 ],
[ 0, -2, -2, -2, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 2, 4, 2, 2, 4, 1, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -4, -3, -6, 0, -2, -4, 0, -8, 0, 0 ],
[ 4, 2, 4, 0, 1, 2, 0, 4, 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, 1, 0, 4, 2, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -4, -3, -8, -6, -4 ],
[ 0, 1, 2, 1, 2, 4, 3, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -4, -4, -8, -8, -8 ],
[ 1, 1, 2, 2, 1, 2, 2, 4, 4, 4 ] ] ] ) ), 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 ] ],
[ [ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 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 ],
[ -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 ] ],
[ [ 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 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 2, 1, 0, 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, 0, -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 ] ],
[ [ 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 ] ],
[ [ 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, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 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 ] ],
[ [ 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -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 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 2, 0, 0, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, 1, 2, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 1, 0, 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, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 1, 1, 0, 4, 4, 1, 4, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 1, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 2, 0, 0, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, 1, 2, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 1, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 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, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 1, 1, 0, 4, 4, 1, 4, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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 ] ],
[ [ 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, 0, 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, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 2, 2, 1, 4, 4, 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, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 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, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, -1, -1, 0, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, 0, -1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, -1, -1, 0, -2,
-1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 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 := [ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 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,
8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13,
13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14,
14, 14, 14, 14, 14, 14, 14, 14, 17, 17, 17, 17, 17, 17, 17,
17, 17, 17, 17, 17 ],
ListSign := [ 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1,
-1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, 1,
-1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1,
1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1,
-1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1,
-1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1,
-1, 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, 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 ] ],
[ [ 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, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 2, 1, 0, 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, 0, -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, 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, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 1, 1, 0, 4, 4, 1, 4, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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 ] ],
[ [ 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, 0, 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, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 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, 2, 2, 1, 4, 4, 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, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 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 ],
[ 0, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 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, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 3, 0, 4, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, 1, 0, 1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, -1, 0, -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 ] ],
[ [ 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, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 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, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -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, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 2, 0, 0, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, 1, 2, 1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 1, 0, 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, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 1, 1, 0, 4, 4, 1, 4, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, 0, 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 ],
[ 0, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 2, 0, 2, 3, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 2, 3, 1, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 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, -2, -2, -1, -2, -1, 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, -1, -1, -2, -2, -2 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -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, -3, -2, -1, -4, -3, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -3, -3, -2, -2, -2 ],
[ 0, -1, 0, 0, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 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, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 1, 1, 0, 0, 0, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 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 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 2, 1, 0, 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, 0, -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, 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, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 1, 1, 0, 4, 4, 1, 4, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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 ] ],
[ [ 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, 0, 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, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 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, 2, 2, 1, 4, 4, 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, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, 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 ],
[ 0, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 0, 4, 1, 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, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 0, 2, 3, 0, 4, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ -2, 1, 0, 1, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, -1, 0, -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 ],
[ 0, 1, 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 ],
[ 0, -1, -2, -1, -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 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 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 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 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, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 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, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, -1, -2, -1, 0, 1, 0, 4, 1, 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 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 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, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 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, 0, 0, 0, 2, 1, 1, 0, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 0, 1, 2, 1, 2, 0, 1, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 0, 0, 0, 2, 3, 1, 4, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -2, -1, 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 ],
[ 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, 0, -2, -3, 0, -4, 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, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 2, 4, 1, 8, 2, 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, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 2, 3, 1, 4, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 1, 2, 1, 0, 1, 0, 4, 1, 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 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, 0, -1, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, -1, 0, -1, 0, -1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 2, 2, 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, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 6, 3, 8, 4, 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 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 1, 0, 1, 0, -1, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 0, 1, 4, 2, 3, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 2, 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 ],
[ -2, 0, 0, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, -2, -2, -2, -2, -2, -2 ],
[ 0, -1, -2, -1, 2, 3, 2, 4, 3, 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 ] ],
[ [ 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, 0, 0, 0, -2, -1, -1, 0, -1, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, -2, -2, -2, -2, -2, -2 ],
[ 0, -1, 0, -1, 2, 1, 2, 0, 1, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 2, 1, 1, 0, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, -1, 0, -1, -2, -2, -1, 0, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, 0, 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 ],
[ 0, -1, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 2, 3, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 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 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -3, -1, 0, -1, 0, -4, -1, 0 ],
[ 2, 1, 2, 1, 0, 1, 0, 2, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -3, -1, -1, -4, -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, -1, -1, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 1, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 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 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 2, 2, 1, 1, 2, 1, 1, 0, 1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, 1, -1, 0, 1, 0, 0, 1, 0 ],
[ 2, 1, 0, 1, 0, -1, 0, -2, -1, 0 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -2, -1, -2, -2, -1, -2, 0, -1, -2 ],
[ 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, -1, 0, -2, 0, 0 ],
[ 0, -1, -1, 0, 2, 3, 1, 4, 1, 0 ],
[ 0, 1, 1, 0, -2, -2, -1, -2, -1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 1, 3, 1, 0, -1, 0, -4, -1, 0 ],
[ 2, -1, -2, -1, 0, 1, 0, 2, 1, 0 ],
[ 1, -1, -2, -1, 1, 2, 1, 4, 2, 1 ],
[ -2, 2, 3, 2, -2, -3, -2, -4, -3, -2 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 4, 5, 1, 6, 1, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 2, 3, 4, 1, 4, 6, 1, 8, 2, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -3, -5, -1, -4, -7, -1, -12, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, 0, 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, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 1, -4, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, 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, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 1, 1, 4, 3, 1, 2, 1, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 0, 0, -8, -6, -4, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -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, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -3, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 0, 0, -8, -10, -4, -12, -5, -2 ],
[ 0, 0, 0, 0, 4, 6, 1, 8, 2, 0 ],
[ 0, 0, 0, 0, 4, 6, 2, 9, 3, 1 ],
[ 0, 0, 0, 0, -4, -7, -1, -12, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 1, 1, 0, 0, 1, -1, 2, -1, 0 ],
[ 0, -1, -1, 0, 0, 0, 1, 0, 1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -1, -3, 1, 0, -1, 1, -4, 2, 0 ],
[ 2, 1, 2, -1, 0, 0, -1, 0, -2, 0 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 0, -1, 2, 0, 0, 0, 0, 1, -2 ],
[ 1, 0, 0, -1, 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, 1, 0, 1, 0 ],
[ 0, 1, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -2, 2, 1, 2, -2, -1, -2, 0, -1, -2 ],
[ 2, -1, 0, -1, 0, -1, 0, -2, -1, 0 ],
[ 1, -1, 0, -1, 1, 0, 1, 0, 0, 1 ],
[ -2, 1, -1, 1, 0, 1, 0, 0, 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, -2, -2, -2, -2, -2, -2 ],
[ 0, 0, 0, 0, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -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, 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, -4, -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, -2, -1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 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, 2, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -2, -1, -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, 0, 0, -2, -1, 0, 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, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -2, -1, -2, -1, 0 ],
[ 0, 1, 1, 1, 0, -1, 0, -2, -1, 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, 0, 0, 1, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, 0, 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, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 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, 0, 0, -1, 0, 0, 0, 0, 0, 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, 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, 2, 0, 4, 0, 0 ],
[ 0, 1, 2, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, 0, 0, 0, 1, 0, 2, 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, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 2, 1, 0, 2, 0, 4, 1, 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, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, 0, 1, 1, 0, 0, 0, 0, -1, 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, 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, 0, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 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, 1, 1, 1, -2, -2, -2, -2, -2, -2 ],
[ 0, 0, 0, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 0, -2, -2, -1, -2, -1, 0 ],
[ -2, 0, -1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 1, 2, 0, -2, -3, -1, -4, -2, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, 0, 0, 1, 2, 2, 1, 2, 1, 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, -4, -4, -3, -4, -3, -2 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -2, -1, -4, -6, -1, -8, -2, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 0, -1, -1, -2, -3, -1, -4, -1, 0 ],
[ -2, 1, 2, 2, 4, 5, 2, 6, 2, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, 0, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 2, -1, -3, -2, -4, -3, -2, 0, 0, 0 ],
[ 1, -1, -2, -1, 1, 2, 1, 4, 2, 1 ],
[ -2, 3, 5, 3, -4, -7, -4, -12, -7, -4 ],
[ 1, -2, -3, -2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -4, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 2, 3, 5, 2, 4, 6, 3, 8, 5, 2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -4, -7, -2, -8, -14, -4, -24, -7, -2 ],
[ 1, 2, 4, 1, 4, 8, 2, 16, 4, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 2, 3, 1, 4, 5, 1, 6, 1, 0 ],
[ 0, -2, -4, -1, -4, -6, -1, -8, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -3, -1, -8, -10, -4, -12, -5, -2 ],
[ 0, 2, 4, 1, 8, 12, 4, 16, 6, 2 ],
[ 0, 0, 0, 0, 4, 6, 2, 9, 3, 1 ],
[ 0, 0, 0, 0, -8, -14, -4, -24, -7, -2 ],
[ 0, 0, 0, 0, 4, 8, 2, 16, 4, 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, 1, 0, 1, 0 ],
[ 0, 1, 1, 0, -4, -3, -2, -2, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 4, 1, 2, 0, 0, 0 ],
[ 1, -1, 0, -1, 1, 0, 1, 0, 0, 1 ],
[ -2, 3, 1, 3, -4, -1, -4, 0, -1, -4 ],
[ 1, -2, -1, -2, 4, 2, 4, 1, 2, 4 ] ],
[ [ 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, -1, -2, -1, 0 ],
[ 0, -1, -1, 0, 2, 3, 2, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, -2, -2, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 1, 3, 3, 0, -1, -1, -4, -4, -4 ],
[ 1, -1, -2, -2, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -2, -3, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 3, 4, 2, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 2, 3, 1, 0, -2, 0, -6, -1, 0 ],
[ 0, -3, -4, -2, 0, 3, 0, 8, 2, 0 ],
[ 0, 0, 0, 0, 4, 6, 2, 9, 3, 1 ],
[ 0, 0, 0, 0, -12, -17, -7, -24, -10, -4 ],
[ 0, 0, 0, 0, 9, 12, 6, 16, 8, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 1, 0, 0, 1, -1, 2, -1, 0 ],
[ 0, -1, -1, 0, 0, -2, 1, -4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 1, -2 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, -2, 2 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 0, -3, 2, 0, 0, 0, -4, 3, -2 ],
[ 1, 0, 2, -1, 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, 1, 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, -1, 0, 1, -1, 2, 0, -2 ],
[ 0, 0, -2, 1, 0, -2, 1, -4, -1, 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 ] ],
[ [ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -1, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 2, 4, 1, 6, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -5, -2, -2, -5, -2, -12, -5, -2 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 2, 0, 1, -1, -2, -1, -1, 0, -1, 0 ],
[ -2, 0, -2, 1, 2, 0, 1, -2, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 1, 0, 2, 0, 0, -1, 0, 0, -2 ],
[ 2, -1, 1, -2, 0, 0, 1, 0, -1, 2 ],
[ 1, -1, 0, -1, 1, 0, 1, 0, 0, 1 ],
[ -2, 2, -1, 2, -2, 1, -2, 0, 1, -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 ],
[ 0, 2, 1, 1, 4, 3, 1, 2, 1, 0 ],
[ 0, -3, -2, -2, -6, -5, -2, -4, -2, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -2, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 0, 3, 2, 2, 6, 2, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 0, 0, -12, -7, -7, -4, -4, -4 ],
[ 0, 0, 0, 0, 9, 6, 6, 4, 4, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -3, -2, -2, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -2, 0, -1, 0, 2, 0, 2, 1, 0 ],
[ 2, 3, 1, 2, 0, -3, 0, -4, -2, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -5, -3, -3, -12, -7, -7, -4, -4, -4 ],
[ 1, 3, 2, 2, 9, 6, 6, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 0, -1, -1, -1, 0, -2, -1, -4, -3, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -1, -2, -2, 0, -1, -1, -2, -2, -2 ],
[ 2, 1, 3, 2, 0, 2, 1, 4, 3, 2 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, -3, -2, 0, 0, 0, -4, -3, -2 ],
[ 1, 0, 2, 1, 0, 0, 0, 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, -1, 0, 0, 1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, -2, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 2, 1, -1, -2, 0, -1, -2, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 1, 3, 0, 1, 2, 0, -1, -4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ 0, 2, 2, 2, 4, 3, 3, 2, 2, 2 ],
[ 0, -2, -2, -2, -4, -2, -3, 0, -1, -2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -4, -4, -3, -3, -4, -3, -3, -2, -2, -2 ],
[ 4, 4, 2, 3, 4, 2, 3, 0, 1, 2 ],
[ 4, 4, 2, 2, 4, 2, 2, 1, 1, 1 ],
[ -8, -8, -2, -4, -8, -2, -4, 0, -1, -2 ],
[ 4, 4, 0, 2, 4, 0, 2, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 2, 4, 5, 3, 6, 4, 2 ],
[ 0, -2, -2, -2, -4, -6, -3, -8, -5, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -6, -7, -3, -8, -10, -4, -12, -5, -2 ],
[ 4, 6, 8, 3, 8, 12, 4, 16, 6, 2 ],
[ 4, 4, 6, 2, 4, 6, 2, 9, 3, 1 ],
[ -8, -8, -14, -4, -8, -14, -4, -24, -7, -2 ],
[ 4, 4, 8, 2, 4, 8, 2, 16, 4, 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, -3, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 4, 0, 6, 2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -6, -2, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 8, 3, 2, 0, 0, 0 ],
[ 1, 3, 2, 1, 9, 6, 3, 4, 2, 1 ],
[ -2, -7, -5, -3, -24, -17, -10, -12, -7, -4 ],
[ 1, 4, 3, 2, 16, 12, 8, 9, 6, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, -1, 0, 0, 2, 0, 6, 1, 0 ],
[ 0, 0, 1, 0, 0, -3, 0, -8, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 2, 0, -4, -7, -1, -12, -2, 0 ],
[ 0, -1, -2, 0, 6, 10, 2, 16, 4, 0 ],
[ 1, -2, -3, -1, 4, 6, 2, 9, 3, 1 ],
[ -2, 5, 7, 3, -12, -17, -7, -24, -10, -4 ],
[ 1, -3, -4, -2, 9, 12, 6, 16, 8, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -2, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 2, 0, 0, -1, 0, -4, -2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -4, 0, 3, 1, 0, 0, 0, -2, -1, 0 ],
[ 4, -1, -4, -2, 0, 1, 0, 4, 2, 0 ],
[ 4, 0, -2, -2, 0, 0, 0, 1, 1, 1 ],
[ -8, 2, 6, 6, 0, -1, -1, -4, -4, -4 ],
[ 4, -2, -4, -4, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 1, 1, 6, 7, 4, 8, 5, 2 ],
[ 0, -1, -1, -1, -6, -8, -4, -10, -6, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -12, -14, -5, -16, -6, -2 ],
[ 0, 2, 2, 1, 12, 16, 5, 20, 7, 2 ],
[ 1, 3, 4, 1, 9, 12, 3, 16, 4, 1 ],
[ -2, -6, -9, -2, -18, -27, -6, -40, -9, -2 ],
[ 1, 3, 5, 1, 9, 15, 3, 25, 5, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 2, -1, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 2, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, 2, -1, 0, 0, 0, -2, 1, 0 ],
[ 2, 1, -1, 2, 0, -1, 0, 0, -2, 0 ],
[ 1, 0, -1, 1, 0, 0, 0, 1, -1, 1 ],
[ -2, -1, 1, -3, 0, 1, -1, 0, 2, -4 ],
[ 1, 1, 0, 2, 1, 0, 2, 0, 0, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -3, 0, -4, -1, 2 ],
[ 0, 1, 1, 1, 2, 4, 0, 6, 2, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -2, 2, 0, 0, 1, 0, 2, -2 ],
[ 2, 1, 3, -2, 0, 0, -1, 0, -3, 2 ],
[ 1, 1, 2, -1, 1, 2, -1, 4, -2, 1 ],
[ -2, -2, -5, 2, -2, -5, 2, -12, 5, -2 ],
[ 1, 1, 3, -1, 1, 3, -1, 9, -3, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -2, 0, 0 ],
[ 0, 0, 1, 0, 0, -2, 0, -2, -1, 0 ],
[ 0, 0, -1, 0, 0, 3, 0, 4, 2, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 2, 0, 1, 0, 2, 0, 2, 1, 0 ],
[ 2, -3, -1, -2, 0, -3, 0, -4, -2, 0 ],
[ 1, -2, -1, -1, 4, 2, 2, 1, 1, 1 ],
[ -2, 5, 3, 3, -12, -7, -7, -4, -4, -4 ],
[ 1, -3, -2, -2, 9, 6, 6, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, -2, -2, -2, -2, -2, -2 ],
[ 0, -2, -2, -2, 0, -1, 1, -2, 0, 2 ],
[ 0, 2, 2, 2, 0, 2, -1, 4, 1, -2 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -4, 2, 1, 3, 0, 1, -1, 2, 0, -2 ],
[ 4, -2, 0, -3, 0, -2, 1, -4, -1, 2 ],
[ 4, 0, 2, -2, 0, 0, 0, 1, -1, 1 ],
[ -8, 0, -6, 4, 0, 0, 0, -4, 3, -2 ],
[ 4, 0, 4, -2, 0, 0, 0, 4, -2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 0, 0, 1, 1, 2, 2, 2 ],
[ 2, 1, -1, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 2, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 3, 2, 0, 0, 0, -4, -3, -2 ],
[ 1, 0, -2, -1, 0, 0, 0, 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, 0, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, -2, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 2, 3, 1, 2, 4, 1, 2, 0, 0, 0 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -3, -1, -3, -4, -1, -4, 0, -1, -4 ],
[ 1, 2, 1, 2, 4, 2, 4, 1, 2, 4 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 6, 4, 2, 0, 0, 0 ],
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -2, -4, -1, 0, -2, 0, -6, -1, 0 ],
[ 2, 3, 5, 2, 0, 3, 0, 8, 2, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -5, -7, -3, -12, -17, -7, -24, -10, -4 ],
[ 1, 3, 4, 2, 9, 12, 6, 16, 8, 4 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 1, 1, 4, 3, 3, 2, 2, 2 ],
[ 0, -2, 0, -1, -4, -2, -3, 0, -1, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -1, -1, -8, -6, -4, -4, -3, -2 ],
[ 0, 2, 0, 1, 8, 4, 4, 0, 2, 2 ],
[ 0, 0, 0, 0, 4, 2, 2, 1, 1, 1 ],
[ 0, 0, 0, 0, -8, -2, -4, 0, -1, -2 ],
[ 0, 0, 0, 0, 4, 0, 2, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 1, 1, 2, 0, 0, -1, 0, -1, -2 ],
[ 0, -2, -3, -1, 0, 0, 2, 0, 3, 2 ],
[ 0, 2, 4, 1, 0, 0, -2, 0, -4, -2 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ 0, 2, 3, 1, -4, -5, -3, -6, -4, -2 ],
[ 0, -2, -4, -1, 4, 6, 3, 8, 5, 2 ],
[ 0, 0, 0, 0, 4, 6, 2, 9, 3, 1 ],
[ 0, 0, 0, 0, -8, -14, -4, -24, -7, -2 ],
[ 0, 0, 0, 0, 4, 8, 2, 16, 4, 1 ] ],
[ [ 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, 1, 0, 2, 2 ],
[ 0, 0, 0, 1, 0, 0, -1, 0, -3, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 1, 2, 2, 0, 0, -1, 0, -2, -2 ],
[ 2, -1, -3, -2, 0, 0, 1, 0, 3, 2 ],
[ 1, -1, -2, -1, 1, 2, 1, 4, 2, 1 ],
[ -2, 2, 5, 2, -2, -5, -2, -12, -5, -2 ],
[ 1, -1, -3, -1, 1, 3, 1, 9, 3, 1 ] ],
[ [ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, -1, -3, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 2, 3, 1, 0, 2, 0, 6, 1, 0 ],
[ 0, -3, -4, -2, 0, -3, 0, -8, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -2, -3, -1, -4, -7, -1, -12, -2, 0 ],
[ 0, 3, 4, 2, 6, 10, 2, 16, 4, 0 ],
[ 0, 0, 0, 0, 4, 6, 2, 9, 3, 1 ],
[ 0, 0, 0, 0, -12, -17, -7, -24, -10, -4 ],
[ 0, 0, 0, 0, 9, 12, 6, 16, 8, 4 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ -2, -1, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 2, 1, -1, 0, 0, 0, -1, 0, 1, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, -1, 2 ],
[ 1, 1, 0, 1, 1, 0, 1, 0, 0, 1 ],
[ -2, -2, 1, -2, -2, 1, -2, 0, 1, -2 ],
[ 1, 1, -1, 1, 1, -1, 1, 1, -1, 1 ] ],
[ [ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 2, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 2, -1, 0 ],
[ 2, -1, -1, -2, 0, 1, 0, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, 0, 0, -1, 1, -4, 2, 0 ],
[ 0, 1, 2, 0, -2, -2, -2, 0, -4, 0 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 1, -1, 3, 0, 1, -1, 0, 2, -4 ],
[ 1, -1, 0, -2, 1, 0, 2, 0, 0, 4 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -2, -2, -1, -8, -8, -4, -8, -4, -2 ],
[ -2, -1, -2, 0, 4, 2, 3, 0, 2, 2 ],
[ 2, 1, 3, 0, -4, 0, -3, 4, -1, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 1 ],
[ 0, 2, 2, 1, -4, -2, -3, 0, -2, -2 ],
[ 0, -2, -2, -1, 4, 0, 3, -4, 1, 2 ],
[ 1, -1, 0, -1, 1, 0, 1, 0, 0, 1 ],
[ -2, 2, -1, 2, -2, 1, -2, 0, 1, -2 ],
[ 1, -1, 1, -1, 1, -1, 1, 1, -1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, 0, -2, -4, 0, -8, 0, 0 ],
[ 0, 1, 2, 0, -2, -2, -1, 0, -2, 0 ],
[ 0, -1, -2, 0, 4, 5, 2, 4, 4, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, 0, -2, 1, 2, 2, 1, 0, 2, 0 ],
[ 2, -1, 1, -2, -4, -5, -2, -4, -4, 0 ],
[ 1, -1, 0, -1, 1, 0, 1, 0, 0, 1 ],
[ -2, 3, 1, 3, -4, -1, -4, 0, -1, -4 ],
[ 1, -2, -1, -2, 4, 2, 4, 1, 2, 4 ] ] ] ) ), 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 := [ 5, 5, 6, 7, 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, 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, -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 ] ],
[ [ 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 ] ] ] ) ), 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, 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 ] ] ]),
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 := [ 5, 5, 5, 5, 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, 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([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 5, 5, 7, 8, 10, 12 ],
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 ],
[ -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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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, -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 ] ] ] ) ), 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ] ]),
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 := [ 5, 5, 8, 8, 9, 10 ],
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 ] ],
[ [ 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, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -1, 0 ],
[ 0, 0, -1, -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, 0 ],
[ 0, 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, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 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 ] ],
[ [ 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 ] ] ] ) ), 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 := [ 7, 8, 10, 11, 11, 12 ],
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, 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 ] ],
[ [ 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, 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, 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 ] ],
[ [ 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, -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 ] ] ]),
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 := [ 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, 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 ] ],
[ [ 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, -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 ] ] ] ) ), 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, 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, 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 ] ] ]),
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 := [ 12, 12, 12, 12, 12, 12 ],
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, 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, 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, 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 ] ] ] ) ), 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ],
[ [ 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, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ] ]),
TheRotSubgroup :=
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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 14, 17, 17, 18, 18, 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 ] ],
[ [ 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -2, -2, -2, -2, -2 ],
[ -2, -2, -2, -1, -2, -2, -1, -2, -1, 0 ],
[ 2, 3, 4, 2, 4, 5, 3, 6, 4, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, -1, -4, -5, -3, -6, -4, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -4, -1, -4, -5, -1, -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, 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, -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, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 5, 3, 4, 3, 2 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ],
[ [ 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 5, 3, 4, 3, 2 ],
[ 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 ] ] ]),
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 ] ],
[ [ 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 13, 13, 15, 15, 15, 15 ],
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, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 5, 3, 4, 3, 2 ],
[ 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, 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, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 5, 3, 4, 3, 2 ],
[ 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, 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([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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 ] ] ]),
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 := [ 13, 13, 14, 14, 16, 16, 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 ] ],
[ [ 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 2, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -1, 0, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 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, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -3, -2, -1, -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, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 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, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ], [ 0, -1, -2, -1, -4,
-6, -3, -8, -4, -2 ], [ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, -1, -1, 0, -1,
-1, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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 := [ 14, 14, 14, 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 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -2, -3, -1, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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 ] ] ] ) ), rec(
TheMatrixStab :=
Group([ [ [ 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, 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, 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, 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, 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, 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, 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, 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([ [ [ 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 := [ 15, 15, 15, 15, 16, 16, 18, 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, 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, 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, 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, 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, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ -2, -3, -3, -1, -4, -5, -2, -4, -1, 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, 2, 0, 2, 0, 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 ] ],
[ [ 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 ] ] ] ) ), 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 ] ],
[ [ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 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 ] ],
[ [ 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([ [ [ 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, 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, 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, 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, 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 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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 ] ],
[ [ 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 ] ],
[ [ 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 ], [ -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 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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, 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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 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 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 2, 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 ] ],
[ [ 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -4 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 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 ] ],
[ [ 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -3, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -2, -2, 0, 0, 0 ],
[ 2, 4, 2, 1, 8, 4, 2, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 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 ] ],
[ [ 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -4 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -4 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 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 ] ],
[ [ 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -4 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 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 ] ],
[ [ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -3, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -2, -2, 0, 0, 0 ],
[ 2, 4, 2, 1, 8, 4, 2, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -4 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 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 ] ],
[ [ 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, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -6, -6, -8, -8, -8 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 4, 3, 4, 6, 4, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 2, 1, 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -3, -2, -2, -4, -2, -2, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -4, -4 ],
[ 2, 3, 4, 3, 4, 6, 4, 8, 6, 4 ],
[ 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 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, 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 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -3, -6, -3, -4, -8, -4, -16, -8, -4 ],
[ 0, -1, -1, -1, -4, -6, -4, -8, -6, -4 ],
[ 0, 1, 2, 2, 4, 8, 6, 16, 12, 8 ],
[ 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, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, -2, -1, -8, -4, -2, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 4, 0, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 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, -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, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -3, -6, -3, -4, -8, -4, -16, -8, -4 ],
[ 0, -1, -1, -1, -4, -6, -4, -8, -6, -4 ],
[ 0, 1, 2, 2, 4, 8, 6, 16, 12, 8 ],
[ 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -4 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -6, 0, -8, 0, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 2, 1, 4, 6, 2, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -6, 0, -8, 0, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 2, 1, 4, 6, 2, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 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, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ 0, 0, 2, 1, 0, 0, 0, -8, -6, -4 ],
[ -2, -1, 1, 2, 0, 2, 2, 4, 2, 0 ],
[ 2, 1, -2, -2, 0, -2, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 2, 1, 0, 2, 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 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -3, -6, -2, -4, -8, -2, -16, -4, 0 ],
[ 0, -1, -1, -1, -4, -6, -4, -8, -6, -4 ],
[ 2, 4, 6, 3, 8, 12, 6, 16, 8, 4 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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 ] ],
[ [ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, -2, -1, -8, -4, -2, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 0, 0, 0 ],
[ 2, 3, 0, -1, 4, 0, -2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ -2, -3, -2, 0, -4, -2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ], [ -2, -1, -2, 2, 0,
0, 2, 0, 4, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, -2, -4 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 4 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 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, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, -1, -2, 2, 0, 0, 2, 0, 4, 0 ],
[ 0, 1, 1, 1, 0, 0, -2, 0, -2, -4 ],
[ 2, 0, 0, -3, 0, 0, 0, 0, 0, 4 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, -1, 0, 3, 0, 0, 2, 0, 0, -4 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 2, 0 ],
[ 2, 1, 2, -2, 0, 0, -2, 0, -4, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12,
12, 12, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14,
14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14,
14, 14, 14, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
16 ],
ListSign := [ 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1,
-1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1,
-1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1,
-1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1,
-1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1,
-1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1,
-1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1,
-1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1,
1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1,
-1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1,
1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1,
1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1,
-1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1,
-1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1,
-1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1,
-1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1,
-1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1,
-1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1,
-1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1,
-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, 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, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 2, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -6, -6, -8, -8, -8 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 4, 3, 4, 6, 4, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -6, 0, -8, 0, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 2, 1, 4, 6, 2, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 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, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ 0, 0, 2, 1, 0, 0, 0, -8, -6, -4 ],
[ -2, -1, 1, 2, 0, 2, 2, 4, 2, 0 ],
[ 2, 1, -2, -2, 0, -2, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 2, 1, 0, 2, 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 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ 0, -1, -2, -1, -4, -8, -4, -16, -8, -4 ],
[ 0, 0, -1, -1, 0, -2, -2, -8, -6, -4 ],
[ 0, 1, 2, 2, 4, 8, 6, 16, 12, 8 ],
[ 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, -4, -3, -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 ] ],
[ [ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ 0, 0, 2, 1, 0, 4, 2, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -2, -2, 0, 0, 0 ],
[ 0, 1, 0, 1, 4, 0, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, -1, 2, 3, 0, 2, 2, 0, -2, -4 ],
[ 0, 1, 1, 1, 0, -2, -2, -4, -4, -4 ],
[ 2, 0, -2, -3, 0, 0, 0, 0, 2, 4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, -1, -1, -2, -1, 0, 0, 1, 2 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, -1, -4, 0, 0, -2, 0, -8, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -4, -2, 0 ],
[ 2, 1, 4, 1, 0, 2, 0, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -2, 1, -4, -2, 2, 0, 2, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -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, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, -1, 0, -1, -4, -2, -4, 0, -2, -4 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -4, -4 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -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, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ 0, 1, 0, 1, 0, 2, 0, 0, 2, 0 ],
[ -2, -1, -3, 0, 0, -2, 0, -4, 0, 0 ],
[ 2, 0, 2, -1, 0, 0, 0, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, -1, 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, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -3, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -2, -2, 0, 0, 0 ],
[ 2, 4, 2, 1, 8, 4, 2, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 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 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -3, -6, -3, -4, -8, -4, -16, -8, -4 ],
[ 0, -1, -1, -1, -4, -6, -4, -8, -6, -4 ],
[ 0, 1, 2, 2, 4, 8, 6, 16, 12, 8 ],
[ 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, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ 0, 0, 2, 1, 0, 0, 0, -8, -6, -4 ],
[ -2, -1, 1, 2, 0, 2, 2, 4, 2, 0 ],
[ 2, 1, -2, -2, 0, -2, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 2, 1, 0, 2, 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 ] ],
[ [ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, -1, -4, 0, 0, -2, 0, -8, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -4, -2, 0 ],
[ 2, 1, 4, 1, 0, 2, 0, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 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, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 0, 0, 3, 0, 0, 0, 0, 0, -4 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -2, -4 ],
[ 2, 1, 0, -3, 0, 0, -2, 0, 0, 4 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ -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, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 0, -1, -2, -1, 0, 0, 1, 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, -2, -2, -1, 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, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, 1, 2, 2, 2, 4, 3, 8, 6, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 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, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, -2, -1, 0, -2, -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, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, -1, -2 ],
[ 0, 1, 0, 1, 2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 2, 1, 0, 2, 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, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, 1, 0, 0, 2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 2, 3, 2, 2, 4, 2, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 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, 1, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 1, 0, 0, 4, 2, 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, 0, 0, -4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 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, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -3, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -2, -2, 0, 0, 0 ],
[ 2, 4, 2, 1, 8, 4, 2, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -6, -6, -8, -8, -8 ],
[ -2, -3, -3, -2, -4, -4, -2, -4, -2, 0 ],
[ 2, 3, 4, 3, 4, 6, 4, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 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, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -3, -6, -3, -4, -8, -4, -16, -8, -4 ],
[ 0, -1, -1, -1, -4, -6, -4, -8, -6, -4 ],
[ 0, 1, 2, 2, 4, 8, 6, 16, 12, 8 ],
[ 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, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, -2, -1, -8, -4, -2, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 0, 0, 0 ],
[ 0, 1, 0, 1, 4, 0, 2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -6, 0, -8, 0, 0 ],
[ 0, -1, -1, -1, -4, -4, -2, -4, -2, 0 ],
[ 0, 1, 2, 1, 4, 6, 2, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 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, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ 0, 0, 2, 1, 0, 0, 0, -8, -6, -4 ],
[ -2, -1, 1, 2, 0, 2, 2, 4, 2, 0 ],
[ 2, 1, -2, -2, 0, -2, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 2, 1, 0, 2, 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 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -3, -6, -2, -4, -8, -2, -16, -4, 0 ],
[ 0, -1, -1, -1, -4, -6, -4, -8, -6, -4 ],
[ 2, 4, 6, 3, 8, 12, 6, 16, 8, 4 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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 ] ],
[ [ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, -2, -1, -8, -4, -2, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 0, 0, 0 ],
[ 2, 3, 0, -1, 4, 0, -2, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ -2, -3, -2, 0, -4, -2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -3, -2, -2, -4, -2, -2, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -4, -4, -4, -4, -4 ],
[ 0, 1, 0, 1, 4, 2, 4, 0, 2, 4 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, 0, 0, 0, 0 ],
[ -2, -3, -3, 0, -4, -4, 0, -4, 0, 0 ],
[ 2, 3, 2, -1, 4, 2, -2, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -3, -4, -3, -4, -6, -4, -8, -6, -4 ],
[ 0, -1, -1, -1, -4, -4, -4, -4, -4, -4 ],
[ 2, 4, 4, 3, 8, 8, 6, 8, 6, 4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -3, -4, -3, -4, -6, -4, -8, -6, -4 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 2, 0 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 4 ],
[ 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, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, -4, 0, -2, 0, 0, 0 ],
[ -2, -3, -1, 0, -4, -2, 0, 0, 0, 0 ],
[ 2, 3, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, -1, 0, -1, -2, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, -1, -2, -1, -4, -6, -2, -8, -2, 0 ],
[ -2, -3, -3, 0, -4, -4, 0, -4, 0, 0 ],
[ 2, 4, 4, 1, 8, 8, 2, 8, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 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 ] ],
[ [ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, -1, 2, 2, 0, 2, 2, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, -4, -4, -4 ],
[ 2, 1, -2, -3, 0, -2, -2, 0, 2, 4 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, 0, 0, 0 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -4, -6, -3, -8, -12, -6, -16, -8, -4 ],
[ 0, 0, -1, 0, 0, -2, 0, -8, -2, 0 ],
[ 0, 1, 2, 1, 4, 8, 4, 16, 8, 4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -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, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -3, 0, 1, -4, 0, 2, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -2, -2, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 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 ] ],
[ [ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ 0, -1, -2, -1, -4, -6, -2, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 2, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, 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 ] ],
[ [ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -4, -4 ],
[ 0, 1, 2, 2, 4, 6, 6, 8, 8, 8 ],
[ 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 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -4, -6, -3, -8, -12, -6, -16, -8, -4 ],
[ 0, 0, -1, -1, 0, -2, -2, -8, -6, -4 ],
[ 2, 3, 6, 3, 4, 8, 4, 16, 8, 4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 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, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, 0, 0 ],
[ 2, 3, 4, 0, 4, 6, 0, 8, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, -1, 2, 3, 0, 2, 2, 0, -2, -4 ],
[ 0, 0, 1, 0, 0, 0, 0, -4, -2, 0 ],
[ 0, 0, -2, -1, 0, 0, 0, 8, 6, 4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, -2, -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, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ 0, -1, -2, -1, -4, -8, -4, -16, -8, -4 ],
[ -2, -3, -5, -2, -4, -6, -2, -8, -2, 0 ],
[ 2, 3, 6, 2, 4, 8, 2, 16, 4, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -4, -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, 2, 1, 0, 0, 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, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ 0, 1, 2, 1, 0, -2, -2, -8, -6, -4 ],
[ -2, -1, 1, 2, 0, 2, 2, 4, 2, 0 ],
[ 2, 0, -2, -3, 0, 0, 0, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, -1, -4, 0, 0, -2, 0, -8, 0, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -4, -2, 0 ],
[ 2, 1, 4, 1, 0, 2, 0, 8, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 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, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, -2, -2, -8, -8, -8 ],
[ 0, 0, 1, 0, 0, 0, 0, -4, -2, 0 ],
[ 0, -1, -2, -1, 0, 2, 2, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, 1, 0, 4, 2, 0 ],
[ 0, 0, 0, 0, -2, -4, -3, -8, -6, -4 ],
[ 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, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ 0, 0, -2, -1, 0, 0, 0, -8, -2, 0 ],
[ 0, 1, 1, 1, 0, 2, 0, 4, 2, 0 ],
[ 0, -1, 0, 0, 0, -2, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 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, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, -1, -4, -1, 0, -2, 0, -8, -2, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -4, 0, 0 ],
[ 0, 0, 2, 1, 0, 0, 0, 8, 2, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -4, -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, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ 0, 1, 0, 1, 0, 2, 0, 0, 2, 0 ],
[ -2, -1, -3, 0, 0, -2, 0, -4, 0, 0 ],
[ 2, 0, 2, -1, 0, 0, 0, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, 0, 2, 3, 0, 0, 0, 0, -2, -4 ],
[ 0, 0, 1, 1, 0, 0, 0, -4, -4, -4 ],
[ 0, -1, -2, -2, 0, 2, 2, 8, 8, 8 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ 0, 1, 2, 2, 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 ] ],
[ [ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ 0, -1, -2, -2, -4, -8, -6, -16, -12, -8 ],
[ 0, 0, -1, 0, 0, -2, 0, -8, -2, 0 ],
[ 0, 0, 2, 1, 0, 4, 2, 16, 8, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, 1, 0, 4, 2, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -6, -4 ],
[ 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, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 0, 0, 3, 0, 0, 0, 0, 0, -4 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -2, -4 ],
[ 2, 1, 0, -3, 0, 0, -2, 0, 0, 4 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -4 ],
[ 0, 1, 1, 1, 0, 0, -2, 0, -2, -4 ],
[ 0, -1, 0, -1, 0, 0, 2, 0, 0, 4 ],
[ 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, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ 0, 1, 2, 2, 0, 0, -2, 0, -4, -8 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 2, 0 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 0, 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, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, -1, 0, 3, 0, 0, 2, 0, 0, -4 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 2, 0 ],
[ 2, 1, 2, -2, 0, 0, -2, 0, -4, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, -1, 0, 3, 0, 0, 2, 0, 0, -4 ],
[ 0, 1, 1, 1, 0, 0, -2, 0, -2, -4 ],
[ 0, -1, -2, -2, 0, 0, 2, 0, 4, 8 ],
[ 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, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, -1, -2, 2, 0, 0, 2, 0, 4, 0 ],
[ 0, 1, 1, 1, 0, 0, -2, 0, -2, -4 ],
[ 2, 0, 0, -3, 0, 0, 0, 0, 0, 4 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ 0, 1, 0, 0, 0, 2, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, -4, 0, 0 ],
[ 0, -1, 0, -1, 0, -2, 0, 0, -2, 0 ],
[ 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, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ 0, 0, -2, -1, 0, 0, 0, -8, -2, 0 ],
[ -2, -1, -3, 0, 0, -2, 0, -4, 0, 0 ],
[ 2, 1, 4, 0, 0, 2, 0, 8, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -2, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ -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, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, -1, -2, -1, -2, -2, -1, 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, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 0, -1, -2, -1, 0, 0, 1, 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, -2, -2, -1, 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, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 0, 1, 0, 0, 4, 2, 1, 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, -2, -2, -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 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 2, 1, 2, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 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, 1, 2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 2, 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 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ -2, -3, -2, 0, -4, -2, 1, 0, 2, 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, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, 1, 2, 2, 2, 4, 3, 8, 6, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 0, 1, 2, 2, 2, 4, 3, 8, 6, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 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, 1, 0, 1, 4, 2, 3, 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, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 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, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, -2, -1, 0, -2, -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, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ 2, 3, 4, 1, 4, 6, 1, 8, 2, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ -2, -3, -4, -2, -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 ] ],
[ [ 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 ],
[ 2, 3, 2, 0, 4, 2, -1, 0, -2, -2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, 0, 0, -2, -2, -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, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 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, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 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, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 2, 4, 3, 8, 6, 4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, -1, -2, -2, -4, -6, -5, -8, -6, -4 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, -2, -2 ],
[ 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 ] ],
[ [ 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, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 2, 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, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ -2, -2, 0, 1, -2, 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, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -4, -3, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 1, 0, 4, 2, 0 ],
[ 0, 1, 2, 2, 4, 6, 5, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 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, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 2, 2 ],
[ 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, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 1, 0, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 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, 1, 2, 0, 1, 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, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2 ],
[ 0, 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, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, -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, 1, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 2, 3, 4, 2, 4, 6, 3, 8, 4, 2 ],
[ 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 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, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, -1, -2 ],
[ 0, 1, 0, 1, 2, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 2, 1, 0, 2, 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, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, -1, 0, 0, 0 ],
[ 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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 2, 2, 0, -1, 2, 0, -1, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, 0, 0, 1, 2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -2, -4, -6, -5, -8, -6, -4 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, -2, -4, -3, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 0, 1, 0, 0, 2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 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, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -2, -3, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2 ],
[ 0, 1, 0, 1, 4, 2, 3, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, -1, -2, -2, -4, -6, -5, -8, -6, -4 ],
[ 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 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 2, 3, 2, 0, 4, 2, -1, 0, -2, -2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 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, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 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 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 1, 2, 2, 4, 6, 5, 8, 6, 4 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, -2, -2, -3, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 1, 0 ],
[ 2, 3, 4, 2, 4, 6, 3, 8, 4, 2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -2, 0, -4, -2, 1, 0, 2, 2 ],
[ 0, 0, -1, -1, 0, -2, -2, -4, -3, -2 ],
[ 2, 3, 4, 1, 4, 6, 1, 8, 2, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 2, 2, 2, 2, 1, 0, -2, -4 ],
[ 0, -1, -1, -1, -2, -1, 0, 0, 1, 2 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -6, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 1, 1, 4, 3, 2 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -2, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 4, 2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -4, -3, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 1, 1, 4, 3, 2 ],
[ 0, -1, -2, -1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 1, 2, 2, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 2, 1, 0, -2, 0, 0, -1, 0, 0, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -1, 0, 1, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 2, 2, 4, 1, 2, 4, 1, 8, 2, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, 0, -1, 0, -2, -4 ],
[ 0, -1, -2, -2, -2, -3, -2, -4, -2, 0 ],
[ 0, 0, 0, 0, 2, 4, 3, 8, 6, 4 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, -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, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, -1, 0, 0, 0 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 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 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 4, 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, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 4, 2 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, 0, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 0, 1, 0, 1, 2, 1, 1, 0, 1, 0 ],
[ 0, 0, 0, 0, 2, 0, 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 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -6, -5, -8, -6, -4 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, 0, 0, 0, 2, 2, 3, 0, 2, 4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, -1, 0, -1, -4, -2, -3, 0, -2, -2 ],
[ 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, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 2, 2, 2, -1, 2, 2, -1, 0, -2, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -2, 0, -4, -2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 1, 0, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -3, -2, 0, -4, -2, 1, 0, 2, 2 ],
[ 0, 1, 1, 1, 2, 1, 0, 0, -1, -2 ],
[ 2, 2, 0, -1, 2, 0, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -2, -1, -4, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 1, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 1, 0, 4, 2, 0 ],
[ 0, -1, -2, -2, -2, -2, -1, 0, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, 0, 1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, -1, -2 ],
[ 0, -1, 0, -1, 0, 0, 1, 0, 0, 2 ],
[ 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, 0, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, 0, -1, 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 ],
[ 2, 2, 4, 1, 2, 4, 1, 8, 2, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, 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, -2, -4, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 2, 1, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, -1, -2, -2, 0, 0, 1, 0, 2, 4 ],
[ 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, -4, -3, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 4, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 6, 4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -4, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 1, 1, 1, 2, 3, 1, 4, 2, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 2, 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, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -6, -4 ],
[ 0, 0, 0, 0, 0, 2, 1, 4, 3, 2 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, -1, -2, -2, -2, -4, -3, -8, -6, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 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, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, -2, 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, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 2, 1, 0, 2, 0 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, -2, -2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -2, 0 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 4, 1, 0 ],
[ 2, 1, 2, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 2, 1, 0, -2, 0, 0, -1, 0, 0, 2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 2 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 1, 2, 2, 2, 2, 1, 0, -2, -4 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -1, 0, 0, 1, 2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 1, 0, 1, 2, 2, 1, 0, 2, 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 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 2, 2, 1, 0, -2, -4 ],
[ 0, -1, -2, -2, -2, -3, -2, -4, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, 0, -2, -2 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 6, 4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, 1, 2, 2, 2, 2, 1, 0, -2, -4 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -2, -2, -3, -2, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 2, 2, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ 0, -1, 0, -1, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 0, 0, -2, -2, -3, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, -1, -1, -1, -2, -1, 0, 0, 1, 2 ],
[ 2, 2, 2, -1, 2, 2, -1, 0, -2, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ -2, -1, -2, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, -1, 0 ],
[ 0, -1, -2, -2, -2, -2, -1, 0, 2, 4 ],
[ 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, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 3, 0, 2, 4 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 2, 2, 0, 0, -1, 0, -2, -4 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, -1, -2, -2, -2, -3, -2, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 0, 1, 2, 2, 1, 0, 2, 0 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -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, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 2, 1, 2, -1, 0, 0, -1, 0, -2, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ -2, -1, 0, 2, 0, 0, 1, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 1, 2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 2 ],
[ 0, -1, 0, -1, -2, -2, -1, 0, -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, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 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 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -2, -3, 0, -2, -4 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 0, -1, -2, -2, 0, 0, 1, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 1, 0, 1, 0, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -8, -2, 0 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ 0, -1, 0, -1, -2, -2, -1, 0, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, -2, -1, -4, -3, -2 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 2, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 1, 0, 1, 2, 2, 1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, -2, 0, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 1, 1, 0, 0, 0, 0, -1, -2 ],
[ 2, 1, 2, -1, 0, 0, -1, 0, -2, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ -2, -2, -4, -1, -2, -4, -1, -8, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 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, 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, -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, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -2 ],
[ -2, -1, -1, 0, 0, 0, 1, 0, 1, 2 ],
[ 2, 1, 0, -1, 0, 0, -1, 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, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 0, 1, 2, 2, 2, 0, 2, 2 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 2, 2, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, -1, -3, 0, -1, -2 ],
[ 0, 1, 0, 1, 2, 0, 1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -3, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 2, 0, 0, -2, -2 ],
[ 0, -1, -2, -1, -4, -5, -2, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -3, -1, 1, -4, -1, 2, 0, 1, 0 ],
[ 0, 1, 0, 0, 2, 0, -1, 0, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ -2, -1, -1, 0, 0, 1, 1, 4, 3, 2 ],
[ 2, 1, 2, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -1, -1, -4, -3, -2 ],
[ 0, -1, -2, -1, 0, 0, 1, 0, 2, 2 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, 0, -1, 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 ],
[ -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, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 0, 0, 0, 0, -2 ],
[ -2, -3, -1, 0, -4, -1, 1, 0, 1, 2 ],
[ 2, 3, 2, 0, 4, 2, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, -1, -3, 0, -1, -2 ],
[ 0, 1, 0, 1, 4, 2, 3, 0, 2, 2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -3, -4 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -3, -8, -10, -6, -12, -7, -4 ],
[ 2, 3, 4, 2, 4, 6, 3, 8, 4, 2 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 4, 2, 8, 4, 2 ],
[ 0, 0, -2, -1, 0, -4, -2, -12, -7, -4 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 6, 4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -3, -8, -10, -6, -12, -7, -4 ],
[ 0, 1, 2, 2, 4, 6, 5, 8, 6, 4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ 0, -1, -2, -2, -4, -7, -6, -12, -10, -8 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 2, 0, 1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 0, 1, 0, 1, 2, 0, 1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ 0, -1, 0, -1, -4, -1, -3, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ 0, -1, -2, -1, -4, -7, -3, -12, -5, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -2, 0, 0, 2, 2 ],
[ 0, 1, 2, 1, 2, 1, 0, -4, -3, -2 ],
[ 0, -1, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, 1, 2, -2, 1, 2, 0, -1, -2 ],
[ 2, 2, 0, -1, 2, 0, -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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 4, 2, 8, 4, 2 ],
[ -2, -3, -5, -2, -4, -7, -3, -12, -5, -2 ],
[ 2, 3, 4, 2, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -7, -3, -12, -5, -2 ],
[ 0, 1, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, 0, -4, -1, 0, 0, 0, 0 ],
[ 2, 2, 0, -1, 2, 0, -1, 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, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 2, 2 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -1, -2 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 0, 1, 0, 1, 4, 2, 3, 0, 2, 2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ 0, -1, 0, -1, -4, -1, -3, 0, -1, -2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -2, 0, -2, -2 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -1, -8, -6, -2, -4, -1, 0 ],
[ 2, 3, 2, 0, 4, 2, -1, 0, -2, -2 ],
[ 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, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 2, 2, 2, 2, 2, 0, 0, 0 ],
[ -2, -3, -3, -2, -4, -3, -2, 0, 0, 0 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -7, -6, -12, -10, -8 ],
[ 0, 1, 2, 2, 4, 6, 5, 8, 6, 4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -2, -4, -5, -3, -8, -10, -6, -12, -7, -4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 2, 2, 2, 0, 0, 0 ],
[ 0, -1, -2, -2, -2, -3, -3, -4, -4, -4 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 4 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, -1, -2, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 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, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -4, -2, -8, -4, -2 ],
[ 0, 0, 2, 1, 0, 4, 2, 4, 3, 2 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 2, 3, 2, 1, 4, 2, 1, 0, 0, 0 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -2, -3, -1, -1, -4, -1, -1, 0, 0, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -5, -1, -4, -7, -1, -12, -2, 0 ],
[ 2, 3, 4, 1, 4, 6, 1, 8, 2, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -2, -1, 0, 0, 0, 0, 2, 2 ],
[ -2, -1, 1, 2, 0, 0, 1, 0, -1, -2 ],
[ 2, 1, 0, -2, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, -4, -3, -2 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 2, 2 ],
[ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ],
[ -2, -2, 1, 2, -2, 1, 2, 0, -1, -2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 2, 4, 2, 8, 4, 0 ],
[ 0, -1, -2, -2, -4, -7, -5, -12, -8, -4 ],
[ 0, 0, 0, 0, 2, 4, 3, 8, 6, 4 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -5, -1, -4, -7, -1, -12, -2, 0 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 2, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ 0, -1, -2, -1, -4, -7, -3, -12, -5, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -4, -2, -8, -4, -2 ],
[ 0, 0, 2, 1, 0, 4, 2, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -1, -8, -6, -2, -4, -1, 0 ],
[ 0, 1, 0, 0, 4, 2, 1, 0, 0, 0 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -2, 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, 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, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 2, 2, 0, 2, 2 ],
[ 0, -1, 0, -1, -4, -3, -4, 0, -3, -4 ],
[ 0, 0, 0, 0, 2, 2, 3, 0, 2, 4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 0, 1, 2, 2, 2, 4, 3, 8, 6, 4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ 0, -1, -2, -2, -4, -7, -6, -12, -10, -8 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 1, 2, 2, 2, 4, 2, 8, 4, 0 ],
[ -2, -3, -5, -2, -4, -7, -2, -12, -4, 0 ],
[ 2, 2, 4, 1, 2, 4, 1, 8, 2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -7, -6, -12, -10, -8 ],
[ 0, 1, 2, 2, 2, 4, 3, 8, 6, 4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 2, 1, 2, 2, 0, 0, -2, -2 ],
[ -2, -3, -3, 0, -4, -3, 1, 0, 3, 2 ],
[ 2, 2, 2, -1, 2, 2, -1, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -7, -3, -12, -5, -2 ],
[ 0, 1, 2, 1, 2, 4, 1, 8, 2, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -3, -5, -1, -4, -7, -1, -12, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -2, -2, 0, 0, 0 ],
[ 0, 1, 2, 2, 2, 1, 1, -4, -4, -4 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 6, 4 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, 1, 1, -2, 1, 1, 0, 0, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 0, 0 ],
[ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ],
[ 0, 0, 2, 1, 0, 2, 1, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 4, 2, 8, 4, 2 ],
[ 0, 0, -2, -1, 0, -4, -2, -12, -5, -2 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 2, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 2, 3, 4, 1, 4, 6, 1, 8, 2, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -3, -5, -1, -4, -7, -1, -12, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 0, 0, 0, 0, -2 ],
[ 0, -1, 1, 0, -2, 1, 1, 0, -1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, 1, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -2, -2, 0, 0, 0 ],
[ 0, 1, 2, 2, 0, -1, -1, -4, -4, -4 ],
[ 0, -1, -2, -2, 0, 0, 1, 0, 2, 4 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 2, 1, 0, -1, 0, 0, -1, 0, 0, 0 ],
[ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, 0, 1, 2, 0, 0, 0, 0, -1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 2, 1, 0, 0, 0, 0, -2, -2 ],
[ -2, -1, -3, 0, 0, 0, 1, 0, 3, 2 ],
[ 2, 1, 2, 0, 0, 0, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -12, -5, -2 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 4, 2 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ],
[ -2, -2, -5, -2, -2, -5, -2, -12, -5, -2 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, -2, -1, 0, 0, 0, 0, 2, 2 ],
[ 0, 1, 3, 2, 0, 0, -1, 0, -3, -4 ],
[ 0, -1, -2, -1, 0, 0, 1, 0, 2, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -12, -7, -4 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 3, 2, 9, 6, 4 ],
[ 0, 0, 0, 0, -2, -5, -3, -12, -7, -4 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, 0, -1, -2, -2, -2, 0, -2, -2 ],
[ 0, 1, -1, 0, 2, 1, 1, -4, -1, 0 ],
[ 0, -1, 0, 0, -2, -2, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, 1, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 2, 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 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -2, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 3, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -2, -5, -1, -2, -5, -1, -12, -2, 0 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 2, 0 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ],
[ 0, 0, -2, -1, 0, -2, -1, -12, -5, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -2, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -1, -3, 1, 0, -1, 1, -4, 2, 0 ],
[ 2, 1, 2, -1, 0, 0, -1, 0, -2, 0 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 0, -1, 2, 0, 0, 0, 0, 1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -2, 0, 0, 2, 2 ],
[ 0, 1, 2, 1, 0, -1, -2, -4, -5, -4 ],
[ 0, 0, 0, 0, 2, 4, 3, 8, 6, 4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 1, 3, 0, 1, 2, 0, -1, -4 ],
[ 0, -1, -2, -2, -2, -2, -1, 0, 2, 4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ],
[ 0, 1, 2, 2, 0, -1, -2, -4, -6, -8 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 2, 4, 2, 8, 4, 2 ],
[ 0, -1, -3, -2, -2, -5, -3, -12, -7, -4 ],
[ 0, 0, 2, 1, 0, 2, 1, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -5, -3, -12, -7, -4 ],
[ 0, 0, 0, 0, 0, 2, 1, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 3, 2, 9, 6, 4 ],
[ 0, 0, 0, 0, 0, -2, -1, -12, -7, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, -2, -2, -4, -2, -8, -4, 0 ],
[ -2, -1, -1, 2, 0, 1, 2, 4, 4, 0 ],
[ 2, 2, 2, -1, 2, 2, -1, 0, -2, 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, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, -1, -2, -2, -2, -4, -2, -8, -4, 0 ],
[ 0, 1, 1, 2, 2, 3, 2, 4, 4, 0 ],
[ 0, -1, 0, -1, -2, -2, -1, 0, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 0, 0, 0, -2, -3, -4, -4, -6, -8 ],
[ 0, 0, 0, 0, 2, 2, 3, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, 1, 2, 1, 2, 4 ],
[ 0, 0, 0, 0, -2, -1, -3, 0, -1, -4 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, 0, 0, 0, 2 ],
[ 0, 1, 1, 2, 2, 1, 1, 0, -1, -4 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, -2, -1, -3, 0, -1, -4 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 1, 2, 1, 2, 4 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -1, -4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 2 ],
[ -2, -1, -1, 2, 0, 0, 1, 0, 1, -2 ],
[ 2, 1, 2, -1, 0, 0, -1, 0, -2, 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, -1, 0, -2, 0 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ],
[ -2, -2, -3, 1, -2, -3, 1, -4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 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, -4 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 4 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 1, 3, 0, 0, 0, 0, -1, -4 ],
[ 0, -1, -2, -2, 0, 0, 1, 0, 2, 4 ],
[ 1, 0, -1, -2, 0, 0, 0, 1, 2, 4 ],
[ 0, 1, 2, 2, 0, -1, -2, -4, -6, -8 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 0, 0, 0, 0, 2 ],
[ -2, -1, -1, 2, 0, -1, 1, 0, 1, -2 ],
[ 2, 1, 0, -2, 0, 0, -1, 0, 0, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 1, -1, 0, 1, -2 ],
[ 0, -1, 0, -1, 0, 0, 1, 0, 0, 2 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 0, -1, 2, 0, 0, 0, 0, 1, -2 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 2, 1, 0, 0, 0, 0, -2, -2 ],
[ 0, 1, -1, 0, 0, 0, -1, 0, 1, 0 ],
[ 0, -1, 0, -1, 0, 0, 1, 0, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, 2, 1, -4, -1, 0 ],
[ 0, 0, 0, 0, 0, -2, -1, 0, -2, -2 ],
[ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, 1, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, -2, -2, 0, -2, -2 ],
[ 0, 1, 0, 1, 2, 3, 2, 0, 3, 2 ],
[ 0, -1, 0, -1, -2, -2, -1, 0, -2, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -5, -2, -2, -5, -2, -12, -5, -2 ],
[ 2, 2, 4, 1, 2, 4, 1, 8, 2, 0 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ],
[ -2, -2, -5, -1, -2, -5, -1, -12, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, -2, -1, 0, -2, -1, -4, -1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 0, 2, 1, 0, 4, 2, 8, 4, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -4, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, 1, 0, 0, 2, 1, 0, 0, 0, 0 ],
[ 0, -1, 0, -1, -2, -1, -1, 0, -1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 1, 0, 1, 2, 0, 0, 0, 0, -2 ],
[ 0, 0, 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, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, 0 ],
[ 0, 1, 2, 2, 2, 3, 2, 4, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 1, 0, 2, 0 ],
[ 0, -1, -2, -2, -2, -4, -2, -8, -4, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, -1, 0, -2, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 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, 0, -1, -2 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, 0, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -2, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 2, 2, 1, 0, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 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, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -2, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -2, 0, 1, -2, 0, 1, 0, 0, 0 ],
[ 0, -1, -2, -2, -2, -2, -2, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, 1, 2, 2, 2, 2, 1, 0, -2, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ] ],
[ [ 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, 0, 0, -1, -2 ],
[ 0, -1, -1, -1, -2, -3, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 0, 0, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -2, -2, 1, -2, -2, 1, 0, 2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 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, 1, 0, 4, 2, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -2, -1, -8, -6, -4 ],
[ 0, 0, -2, -1, 0, 0, 0, 0, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, 0, -1, 0, -2, -4 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -6, -5, -8, -6, -4 ],
[ 0, 1, 2, 2, 2, 4, 2, 8, 4, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -4, -1, -4, -6, -1, -8, -2, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 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, 0, 0, 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, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, 1, 0, 0, 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, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, -1, 0, -1, -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 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 1, 1, 2, 2, 2 ],
[ 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, -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, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 1, 0, 2, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 1, 1, 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 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 3, 3, 2, 4, 4, 2, 4, 2, 0 ],
[ -2, -3, -2, -2, -4, -3, -2, -2, -2, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 2, 4, 3, 3, 8, 6, 6, 4, 5, 4 ],
[ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -3, -4, -8, -6, -8, -4, -6, -8 ],
[ 1, 2, 1, 2, 4, 2, 4, 1, 2, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 1, 1, 4, 4, 2, 4, 2, 0 ],
[ 0, -1, -1, -1, -4, -3, -1, -2, 0, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 2, 4, 3, 0, 8, 6, 0, 4, -1, -2 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -3, 1, -8, -6, 2, -4, 2, 0 ],
[ 1, 2, 1, -1, 4, 2, -2, 1, -1, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, 0, 0, 1, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, -1, -1, -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, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 2, 1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 0, -1, -1, -2, -1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 2, 0, 1, 0, 0, 0, 0, 0, -1, -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, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 1, 0, 4, 2, 0, 0, 0, 0 ],
[ -2, -4, -2, -1, -6, -4, -1, -2, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 2, 4, 1, 1, 6, 1, 1, 0, 0, 0 ],
[ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -5, -1, -1, -12, -2, -2, 0, 0, 0 ],
[ 1, 3, 1, 1, 9, 3, 3, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 4, 4 ],
[ 0, 0, -2, -2, 0, -3, -3, -6, -5, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -6, -6, -8, -8, -8 ],
[ 0, 2, 4, 4, 6, 9, 8, 12, 10, 8 ],
[ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -4, -7, -7, -6, -12, -12, -10, -12, -10, -8 ],
[ 4, 6, 6, 4, 9, 9, 6, 9, 6, 4 ] ],
[ [ 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, 2, 2, 8, 6, 4 ],
[ 0, 0, -1, -1, 0, -3, -3, -10, -8, -6 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -6, -3, -4, -8, -4, -16, -8, -4 ],
[ 2, 4, 7, 4, 6, 11, 6, 20, 11, 6 ],
[ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -5, -9, -5, -12, -22, -12, -40, -22, -12 ],
[ 1, 3, 5, 3, 9, 15, 9, 25, 15, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 1, 1, 4, 2, 2, 0, 0, 0 ],
[ 0, -1, -1, -1, -4, -1, -2, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -2, -1, -8, -4, -2, 0, 0, 0 ],
[ 2, 4, 1, 1, 8, 2, 2, -4, -1, 0 ],
[ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, 1, 0, -8, 2, 0, 0, 0, 0 ],
[ 1, 2, -1, 0, 4, -2, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, 0, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -3, 0, -6, -1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -6, 0, -8, 0, 0 ],
[ 2, 4, 5, 1, 6, 9, 1, 12, 2, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -5, -5, -1, -12, -12, -2, -12, -2, 0 ],
[ 1, 3, 3, 1, 9, 9, 3, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 4, 2, 0 ],
[ 0, 0, 2, 0, 0, 1, 0, -2, -2, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 0, 0, -8, -6, -4 ],
[ 0, 0, -4, -2, 0, -2, -1, 4, 5, 4 ],
[ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -4, -1, 5, 6, 0, 2, 2, -4, -6, -8 ],
[ 4, 2, -2, -4, 1, -1, -2, 1, 2, 4 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 2, 3, 5, 2, 4, 6, 2, 8, 2, 0 ],
[ -2, -4, -6, -3, -6, -8, -3, -10, -3, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -6, -2, -4, -8, -2, -16, -4, 0 ],
[ 2, 4, 7, 3, 6, 11, 3, 20, 6, 0 ],
[ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -5, -9, -5, -12, -22, -12, -40, -22, -12 ],
[ 1, 3, 5, 3, 9, 15, 9, 25, 15, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 3, 1, 0, 4, 2, 0, 0, 0, 0 ],
[ -2, -3, 0, 1, -4, -1, 1, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -2, -1, -8, -4, -2, 0, 0, 0 ],
[ 2, 4, 1, 0, 8, 2, 0, -4, -3, -2 ],
[ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, 1, 1, -8, 2, 2, 0, 0, 0 ],
[ 1, 2, -1, -1, 4, -2, -2, 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, -2, 0, -4, -2, 0 ],
[ 0, 0, 1, 0, 0, 3, 0, 6, 3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -2, -2, -4, -2, -2, 0, 0, 0 ],
[ 2, 4, 3, 3, 6, 3, 3, 0, 0, 0 ],
[ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -5, -5, -5, -12, -12, -12, -12, -12, -12 ],
[ 1, 3, 3, 3, 9, 9, 9, 9, 9, 9 ] ],
[ [ 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, -2, -2, -4, -2, 0 ],
[ 0, 0, 2, 2, 0, 3, 3, 6, 3, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -2, 0, 0, 0, 0 ],
[ 0, 2, 0, 0, 6, 3, 0, 0, 0, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -4, -7, -7, 0, -12, -12, 0, -12, 0, 0 ],
[ 4, 6, 6, 0, 9, 9, 0, 9, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 3, 3, 2, 4, 4, 2, 4, 2, 0 ],
[ -2, -4, -4, -3, -6, -6, -3, -6, -3, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -3, -4, -6, -4, -8, -6, -4 ],
[ 2, 4, 5, 4, 6, 9, 6, 12, 9, 6 ],
[ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -5, -5, -5, -12, -12, -12, -12, -12, -12 ],
[ 1, 3, 3, 3, 9, 9, 9, 9, 9, 9 ] ],
[ [ 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, 2, 2, 4, 4, 4 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -3, -4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -3, -4, -6, -4, -8, -6, -4 ],
[ 2, 3, 3, 3, 4, 5, 4, 4, 5, 4 ],
[ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -3, -4, -8, -6, -8, -4, -6, -8 ],
[ 1, 2, 1, 2, 4, 2, 4, 1, 2, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, 0, 0, 0 ],
[ 0, 0, 2, 0, 0, 3, 0, 2, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, 0, -2, 0, 0, 0 ],
[ 0, 2, 0, 2, 6, 1, 3, 0, 1, 0 ],
[ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -4, -7, -1, 0, -12, -2, 0, 0, 0, 0 ],
[ 4, 6, 2, 0, 9, 3, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 1, 1, 4, 4, 2, 4, 2, 0 ],
[ 0, -2, -2, -2, -6, -6, -3, -6, -3, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -2, -8, -2, 0 ],
[ 0, 2, 4, 2, 6, 9, 3, 12, 3, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -4, -7, -7, 0, -12, -12, 0, -12, 0, 0 ],
[ 4, 6, 6, 0, 9, 9, 0, 9, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 1, -1, -2, 0, -2, -2, -4, -2, 0 ],
[ -2, -1, 2, 3, 0, 3, 3, 6, 3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 2, 2, 0, 2, 2, 0, 0, 0 ],
[ 2, 1, -3, -3, 0, -3, -3, 0, 0, 0 ],
[ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, 0, 5, 5, 0, 0, 0, -12, -12, -12 ],
[ 1, 0, -3, -3, 0, 0, 0, 9, 9, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 1, 1, 1, 4, 6, 4, 8, 6, 4 ],
[ 0, -1, -1, -1, -4, -7, -4, -10, -7, -4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -6, -3, -8, -12, -6, -16, -8, -4 ],
[ 2, 4, 7, 3, 8, 14, 6, 20, 9, 4 ],
[ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -4, -9, -4, -8, -18, -8, -40, -18, -8 ],
[ 1, 2, 5, 2, 4, 10, 4, 25, 10, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 0, 0, -1, -1, 0, -2, -2, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 3, 3, 2, 2, 2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -3, 0, 1, -4, 0, 2, 0, 0, 0 ],
[ 2, 4, 1, 0, 6, 1, -2, 0, -1, -2 ],
[ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -5, -1, -1, -12, -2, -2, 0, 0, 0 ],
[ 1, 3, 1, 1, 9, 3, 3, 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, 1, 0, 0, 2, 0, 4, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, -2, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -2, -8, -2, 0 ],
[ 0, 1, 2, 1, 4, 5, 1, 4, -1, -2 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -3, 1, -8, -6, 2, -4, 2, 0 ],
[ 1, 2, 1, -1, 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, 4, 4, 4, 4, 4, 4 ],
[ 0, -1, -1, -1, -4, -5, -5, -6, -6, -6 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -4, -3, -8, -8, -6, -8, -6, -4 ],
[ 2, 4, 5, 4, 8, 10, 8, 12, 9, 6 ],
[ 1, 2, 2, 2, 4, 4, 4, 4, 4, 4 ],
[ -2, -4, -5, -5, -8, -10, -10, -12, -12, -12 ],
[ 1, 2, 3, 3, 4, 6, 6, 9, 9, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 3, 5, 2, 4, 6, 2, 8, 2, 0 ],
[ -2, -3, -6, -3, -4, -7, -3, -10, -3, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -6, -3, -8, -12, -6, -16, -8, -4 ],
[ 2, 4, 7, 4, 8, 14, 8, 20, 11, 6 ],
[ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -4, -9, -5, -8, -18, -10, -40, -22, -12 ],
[ 1, 2, 5, 3, 4, 10, 6, 25, 15, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 3, 3, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -3, -4, 0, -4, -5, 0, -6, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -4, -1, -8, -8, -2, -8, -2, 0 ],
[ 2, 4, 5, 1, 8, 10, 2, 12, 3, 0 ],
[ 1, 2, 2, 0, 4, 4, 0, 4, 0, 0 ],
[ -2, -4, -5, 0, -8, -10, 0, -12, 0, 0 ],
[ 1, 2, 3, 0, 4, 6, 0, 9, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 4, 4, 4 ],
[ 0, 0, 1, 1, 0, 0, 0, -6, -5, -4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 2, 3, 0, 2, 2, 0, -2, -4 ],
[ 2, 1, -3, -3, 0, -3, -2, 0, 3, 4 ],
[ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, 0, 5, 4, 0, 0, 0, -12, -10, -8 ],
[ 1, 0, -3, -2, 0, 0, 0, 9, 6, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 8, 2, 0 ],
[ 0, 0, -2, 0, 0, -3, 0, -10, -2, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -8, -4, -16, -8, -4 ],
[ 0, 2, 4, 2, 6, 11, 5, 20, 9, 4 ],
[ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -4, -7, -13, -6, -12, -22, -10, -40, -18, -8 ],
[ 4, 6, 10, 4, 9, 15, 6, 25, 10, 4 ] ],
[ [ 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, -2, -2, 0, 0, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, -2, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, -1, 0, 0, 0, 0 ],
[ 1, 2, 0, 0, 4, 0, 0, 0, 0, 0 ],
[ -2, -4, 1, 0, -8, 2, 0, 0, 0, 0 ],
[ 1, 2, -1, 0, 4, -2, 0, 1, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, -1, -1, -1, 0, 2, 2, 4, 4, 4 ],
[ 0, 2, 2, 2, 2, 0, -1, -2, -3, -4 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 1, 2, 1, 0, -2, -2, -8, -6, -4 ],
[ 0, -2, -4, -2, -2, -1, 1, 4, 5, 4 ],
[ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -4, -1, 5, 6, 0, 2, 2, -4, -6, -8 ],
[ 4, 2, -2, -4, 1, -1, -2, 1, 2, 4 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 2, 1, 3, 0, 0, 2, 0, 4, 0, 0 ],
[ -2, -1, -4, -1, 0, -3, -1, -6, -1, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -1, -4, 0, 0, -2, 0, -8, 0, 0 ],
[ 2, 1, 5, 1, 0, 3, 1, 12, 2, 0 ],
[ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, 0, -5, -1, 0, 0, 0, -12, -2, 0 ],
[ 1, 0, 3, 1, 0, 0, 0, 9, 3, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, -1, -1, -1, 0, 2, 2, 4, 4, 4 ],
[ 0, 1, 1, 1, 0, -3, -2, -6, -5, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, -2, -2, -8, -8, -8 ],
[ 0, -1, -2, -2, 0, 3, 2, 12, 10, 8 ],
[ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, 0, 5, 4, 0, 0, 0, -12, -10, -8 ],
[ 1, 0, -3, -2, 0, 0, 0, 9, 6, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 4, 2, 0 ],
[ 0, 0, -1, -1, 0, 1, 1, -2, 0, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, 0, 0, -8, -2, 0 ],
[ 0, 0, 2, 1, 0, -2, -1, 4, -1, -2 ],
[ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, 1, -3, 1, 0, 2, 0, -4, 2, 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, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 4, 2, 0 ],
[ 0, 0, -1, -1, 0, 0, 0, -6, -3, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -4, -1, 0, -2, 0, -8, -2, 0 ],
[ 2, 1, 5, 1, 0, 3, 0, 12, 3, 0 ],
[ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, 0, -5, 0, 0, 0, 0, -12, 0, 0 ],
[ 1, 0, 3, 0, 0, 0, 0, 9, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, -1, -1, -1, 0, -2, 0, -4, -2, 0 ],
[ 0, 2, 2, 2, 2, 4, 1, 6, 3, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 2, 0, 0, 2, 0 ],
[ 0, -2, 0, -2, -2, -3, -1, 0, -3, 0 ],
[ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -4, -1, -7, 0, 0, -2, 0, -12, 0, 0 ],
[ 4, 2, 6, 0, 1, 3, 0, 9, 0, 0 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 1, 1, 1, 0, 0, -1, 0, -1, -2 ],
[ 0, -1, -1, -1, 0, 2, 2, 4, 4, 4 ],
[ 0, 1, 1, 1, 0, -3, -3, -6, -6, -6 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 2, 3, 0, 0, 0, 0, -2, -4 ],
[ 2, 0, -3, -4, 0, 0, 0, 0, 3, 6 ],
[ 1, 0, -2, -2, 0, 0, 0, 4, 4, 4 ],
[ -2, 0, 5, 5, 0, 0, 0, -12, -12, -12 ],
[ 1, 0, -3, -3, 0, 0, 0, 9, 9, 9 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 1, 1, 0, 2, 2, 8, 6, 4 ],
[ 0, 0, -1, -1, 0, -2, -2, -10, -7, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -8, -6, -16, -12, -8 ],
[ 0, 1, 2, 2, 4, 9, 6, 20, 14, 8 ],
[ 1, 2, 4, 2, 4, 8, 4, 16, 8, 4 ],
[ -2, -4, -9, -4, -8, -18, -8, -40, -18, -8 ],
[ 1, 2, 5, 2, 4, 10, 4, 25, 10, 4 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 2, 1, 1, -2, 0, 0, -2, 0, -2, 0 ],
[ -2, -1, 0, 3, 0, 1, 3, 2, 3, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 0, 0, 3, 0, 0, 0, 0, 0, -4 ],
[ 2, 0, -1, -4, 0, 0, 0, 0, 1, 6 ],
[ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 0, 1, 5, 0, 0, 0, 0, -2, -12 ],
[ 1, 0, -1, -3, 0, 0, 0, 1, 3, 9 ] ],
[ [ 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, 0, 0, 0, -2, 0 ],
[ 0, 0, -1, 0, 0, 1, 0, 2, 3, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, -4 ],
[ 0, 0, 0, -1, 0, 0, 1, 0, 1, 6 ],
[ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 1, 1, 5, 0, 0, -2, 0, -2, -12 ],
[ 1, -1, -1, -3, 1, 1, 3, 1, 3, 9 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 2, 4 ],
[ 0, 0, 1, 1, 0, 0, 0, 2, -1, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, 0, -2, 0, -4, -8 ],
[ 0, -1, -2, -2, 0, -1, 2, -4, 2, 8 ],
[ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 0, -1, 4, 0, 0, 0, 0, 2, -8 ],
[ 1, 0, 1, -2, 0, 0, 0, 1, -2, 4 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 2, 1, 1, -2, 0, 0, -2, 0, -2, 0 ],
[ -2, -1, -2, 2, 0, -1, 2, -2, 2, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 0, 3, 0, 0, 2, 0, 0, -4 ],
[ 2, 1, 1, -3, 0, 1, -2, 0, -1, 4 ],
[ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 0, -1, 4, 0, 0, 0, 0, 2, -8 ],
[ 1, 0, 1, -2, 0, 0, 0, 1, -2, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 0, 0, -1, -1, 0, 0, 0, 0, 2, 4 ],
[ 0, 0, 1, 1, 0, -1, -1, -2, -4, -6 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 0, 3, 0, 0, 2, 0, 0, -4 ],
[ 2, 0, -1, -4, -2, -1, -2, 0, 1, 6 ],
[ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 1, 1, 5, 0, 0, -2, 0, -2, -12 ],
[ 1, -1, -1, -3, 1, 1, 3, 1, 3, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 2, 1, 1, -2, 0, 0, -2, 0, -2, 0 ],
[ -2, 0, 0, 3, 2, 2, 3, 2, 3, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -1, -2, 2, 0, 0, 2, 0, 4, 0 ],
[ 2, 0, 1, -3, -2, -3, -3, -4, -6, 0 ],
[ 1, 0, 0, -2, 0, 0, 0, 0, 0, 4 ],
[ -2, 1, 1, 5, 0, 0, -2, 0, -2, -12 ],
[ 1, -1, -1, -3, 1, 1, 3, 1, 3, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, -1, -1, 0, -2, 0, -4, -2, 0 ],
[ 0, 1, 1, 1, 0, 3, 0, 6, 3, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 2, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, -3, 0, 0, 0, 0 ],
[ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -2, 0, -5, 0, 0, 0, 0, -12, 0, 0 ],
[ 1, 0, 3, 0, 0, 0, 0, 9, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 4, 0, 0 ],
[ 0, 0, -2, 0, 0, -1, 0, -6, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, 0, 0, -8, -2, 0 ],
[ 0, 0, 4, 2, 0, 2, 1, 12, 3, 0 ],
[ 1, 0, 2, 0, 0, 0, 0, 4, 0, 0 ],
[ -4, -1, -7, 0, 0, -2, 0, -12, 0, 0 ],
[ 4, 2, 6, 0, 1, 3, 0, 9, 0, 0 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -4, -2 ],
[ 0, 0, 1, 1, 0, 3, 3, 8, 6, 4 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 3, 2 ],
[ 0, 0, 0, -1, 0, 0, -3, 0, -4, -4 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -5, -7, -3, -12, -17, -7, -24, -10, -4 ],
[ 1, 3, 4, 2, 9, 12, 6, 16, 8, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 0, 1, 0, 0, 2, 0, 2, 0, 0 ],
[ 0, 0, -1, 0, 0, -2, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -5, -2, -4, -1, 0 ],
[ 0, 1, 2, 1, 4, 4, 1, 0, -2, -2 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ -2, -4, -1, 1, -8, -2, 2, 0, 1, 0 ],
[ 1, 2, 0, -1, 4, 0, -2, 0, 0, 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, 2, 0, 2, 0, -2 ],
[ 0, -1, -1, -1, -2, -3, 0, -4, -1, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, -1, 0, 0, 0 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ],
[ -2, -2, -3, 2, -2, -3, 2, -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, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 2, 2, 2, 2, 2, 2, 0 ],
[ 0, -1, -2, -3, -2, -3, -3, -4, -3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, -1, -2, -2, -1, -2, 0, 0, 0 ],
[ 0, 1, 2, 3, 2, 2, 3, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 2, 1, 2, 4 ],
[ 0, 0, 0, 0, -2, -3, -5, -4, -7, -12 ],
[ 0, 0, 0, 0, 1, 2, 3, 4, 6, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, -1, 0, 2, 0, 0, -2, 0, 0 ],
[ 0, -2, 0, -1, -4, -2, -1, 0, -1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 1, 0, -2, 1, 0, 0, 0, 0 ],
[ 0, 2, 0, 1, 4, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, 2, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 4, 0, 2, 0, 0, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 0, -1, -3, -2, -2, -4, -2, -6, -2, 0 ],
[ 0, 1, 4, 2, 2, 5, 2, 8, 2, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 3, 2, 0, 0, -1, 0, -3, -4 ],
[ 0, -1, -4, -2, 0, 0, 1, 0, 4, 4 ],
[ 0, 0, 0, 0, 1, 3, 2, 9, 6, 4 ],
[ 0, 0, 0, 0, -2, -7, -4, -24, -14, -8 ],
[ 0, 0, 0, 0, 1, 4, 2, 16, 8, 4 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 1, 1, 2, 2, 2, 2, 2, 2, 0 ],
[ 0, -1, 0, -2, -2, -1, -2, 0, -2, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -2, -4, -4, -5, -4, -5, -4 ],
[ 0, 1, 0, 2, 4, 2, 5, 0, 4, 4 ],
[ 0, 0, 0, 0, 1, 1, 2, 1, 2, 4 ],
[ 0, 0, 0, 0, -2, -1, -4, 0, -2, -8 ],
[ 0, 0, 0, 0, 1, 0, 2, 0, 0, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 1, 1, 0, 2, 2, 2, 2, 2 ],
[ 0, 0, -2, -2, 0, -3, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -5, -5, -4, -4, -4 ],
[ 0, 2, 4, 4, 6, 8, 7, 8, 6, 4 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ],
[ -4, -7, -4, -3, -12, -7, -5, -4, -3, -2 ],
[ 4, 6, 4, 2, 9, 6, 3, 4, 2, 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, 4, 2, 6, 4, 2 ],
[ 0, -1, -1, -1, -2, -5, -2, -8, -5, -2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -5, -2, -4, -8, -3, -12, -5, -2 ],
[ 2, 3, 6, 2, 4, 10, 3, 16, 6, 2 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ],
[ -2, -2, -7, -2, -2, -7, -2, -24, -7, -2 ],
[ 1, 1, 4, 1, 1, 4, 1, 16, 4, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 0, 1, -1, 0, 2, 0, 0, -2, 0, 0 ],
[ 0, -1, 2, 0, -2, 1, 0, 4, 0, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, 1, 0, -2, 1, 1, 0, -1, 0 ],
[ 0, 1, -2, 0, 2, -2, -1, 0, 2, 0 ],
[ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, 3, 0, -4, 0, 0 ],
[ 0, 0, 0, 0, 1, -2, 0, 4, 0, 0 ] ],
[ [ 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, 2, 0, 2, 0, -2 ],
[ 0, -2, -2, -2, -4, -4, -1, -4, -1, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, 0, -4, 1, 2 ],
[ 0, 2, 4, 2, 4, 6, 1, 8, 0, -2 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ],
[ -4, -4, -4, 3, -4, -4, 3, -4, 3, -2 ],
[ 4, 4, 4, -2, 4, 4, -2, 4, -2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 1, 1, 1, 2, 4, 2, 6, 4, 2 ],
[ 0, -2, -2, -2, -4, -6, -3, -8, -5, -2 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -2, -5, -3, -12, -8, -4 ],
[ 0, 2, 4, 4, 4, 8, 5, 16, 10, 4 ],
[ 1, 1, 3, 1, 1, 3, 1, 9, 3, 1 ],
[ -4, -4, -10, -3, -4, -10, -3, -24, -7, -2 ],
[ 4, 4, 8, 2, 4, 8, 2, 16, 4, 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, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 0, 0, -1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 0, 1, 0, 0, -1, 0, 0, 0 ],
[ 1, 0, 1, 1, 0, 0, 0, 1, 1, 1 ],
[ -2, 1, -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, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -2, -2, 0, -1, -1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 2, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, -1, 0, 0, 0, 0, 1, 0, 0 ],
[ -4, -1, 2, 0, 0, 1, 0, 0, 0, 0 ],
[ 4, 2, 0, 0, 1, 0, 0, 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, 1, 1, 0, -1, -1, -2, -2, -2 ],
[ 0, 0, -1, -1, 0, 1, 1, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, -1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
[ -2, 2, 3, 2, -2, -3, -2, -4, -3, -2 ],
[ 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, 0, 0, 0 ],
[ 0, 0, -2, 0, 0, -1, 0, -2, 0, 0 ],
[ 0, 0, 2, 0, 0, 1, 0, 4, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -4, -3, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 4, 3, 2, 1, 2, 2, 1, 0, 0, 0 ],
[ 4, 2, 2, 0, 1, 1, 0, 1, 0, 0 ],
[ -8, -4, -6, -2, -2, -3, -1, -4, -1, 0 ],
[ 4, 2, 4, 2, 1, 2, 1, 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, -2, 0, 0, -3, 0, -6, -2, 0 ],
[ 0, 0, 2, 0, 0, 4, 0, 8, 3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -4, -5, -3, -2, -6, -3, -2, 0, 0, 0 ],
[ 4, 6, 4, 3, 8, 4, 3, 0, 0, 0 ],
[ 4, 6, 6, 4, 9, 9, 6, 9, 6, 4 ],
[ -8, -14, -14, -10, -24, -24, -17, -24, -17, -12 ],
[ 4, 8, 8, 6, 16, 16, 12, 16, 12, 9 ] ],
[ [ 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, -3, -3, -6, -4, -2 ],
[ 0, 0, 2, 2, 0, 4, 4, 8, 5, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -6, -3, -1, 0, 0, 0 ],
[ 0, 2, 0, 0, 8, 4, 1, 0, 0, 0 ],
[ 1, 3, 3, 1, 9, 9, 3, 9, 3, 1 ],
[ -4, -10, -10, -3, -24, -24, -7, -24, -7, -2 ],
[ 4, 8, 8, 2, 16, 16, 4, 16, 4, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 3, 2, 2, 4, 3, 2, 2, 2, 0 ],
[ -2, -3, -3, -3, -4, -4, -3, -4, -3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -1, -2, -4, -1, -2, 0, 0, 0 ],
[ 2, 3, 2, 3, 4, 2, 3, 0, 0, 0 ],
[ 1, 2, 1, 2, 4, 2, 4, 1, 2, 4 ],
[ -2, -4, -3, -5, -8, -6, -10, -4, -7, -12 ],
[ 1, 2, 2, 3, 4, 4, 6, 4, 6, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 1, 1, 4, 3, 1, 2, 0, -2 ],
[ 0, -1, -1, -1, -4, -4, -1, -4, -1, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -1, 1, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 2, -1, 0, 0, 0 ],
[ 1, 2, 1, -1, 4, 2, -2, 1, -1, 1 ],
[ -2, -4, -3, 2, -8, -6, 4, -4, 3, -2 ],
[ 1, 2, 2, -1, 4, 4, -2, 4, -2, 1 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 2, 6, 4, 3, 2, 1, 0 ],
[ 0, -2, -2, -2, -6, -3, -3, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -7, -5, -2, -12, -8, -3, -4, -1, 0 ],
[ 4, 7, 4, 2, 12, 6, 3, 0, 0, 0 ],
[ 4, 6, 2, 0, 9, 3, 0, 1, 0, 0 ],
[ -8, -12, -2, 0, -18, -3, 0, 0, 0, 0 ],
[ 4, 6, 0, 0, 9, 0, 0, 0, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 2, 3, 4, 3, 4, 5, 3, 6, 3, 0 ],
[ -2, -4, -5, -4, -6, -7, -4, -8, -4, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -4, -4, -7, -5, -12, -9, -6 ],
[ 2, 4, 6, 5, 6, 10, 7, 16, 12, 8 ],
[ 1, 2, 3, 3, 4, 6, 6, 9, 9, 9 ],
[ -2, -5, -7, -7, -12, -17, -17, -24, -24, -24 ],
[ 1, 3, 4, 4, 9, 12, 12, 16, 16, 16 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -3, -3, -4, -4, -4 ],
[ 0, 1, 1, 1, 4, 7, 5, 10, 8, 6 ],
[ 0, -2, -2, -2, -6, -9, -6, -12, -9, -6 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -4, -9, -7, -20, -16, -12 ],
[ 0, 2, 4, 4, 6, 12, 9, 24, 18, 12 ],
[ 1, 2, 5, 3, 4, 10, 6, 25, 15, 9 ],
[ -4, -7, -16, -9, -12, -27, -15, -60, -33, -18 ],
[ 4, 6, 12, 6, 9, 18, 9, 36, 18, 9 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, -1, 0, 0, -3, 0, -2, -1, 0 ],
[ 0, 0, 2, 0, 0, 4, 0, 4, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -6, -1, -4, 0, -1, -2 ],
[ 0, 2, 0, 2, 8, 2, 5, 0, 2, 2 ],
[ 1, 3, 1, 1, 9, 3, 3, 1, 1, 1 ],
[ -4, -10, -4, -3, -24, -10, -7, -4, -3, -2 ],
[ 4, 8, 4, 2, 16, 8, 4, 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, 4, 5, 2, 6, 3, 0 ],
[ 0, -2, -2, -2, -6, -7, -3, -8, -4, 0 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -7, -2, -12, -3, 0 ],
[ 0, 2, 4, 2, 6, 10, 3, 16, 4, 0 ],
[ 1, 2, 3, 0, 4, 6, 0, 9, 0, 0 ],
[ -4, -7, -10, 0, -12, -17, 0, -24, 0, 0 ],
[ 4, 6, 8, 0, 9, 12, 0, 16, 0, 0 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 0, -2, -1, 0, 0, 0, 0 ],
[ 2, 1, -2, -2, 0, -3, -2, -6, -2, 0 ],
[ -2, -1, 3, 3, 0, 4, 3, 8, 3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -1, 3, 2, 0, 3, 2, 0, 0, 0 ],
[ 2, 1, -4, -3, 0, -4, -3, 0, 0, 0 ],
[ 1, 0, -3, -2, 0, 0, 0, 9, 6, 4 ],
[ -2, 0, 7, 5, 0, 0, 0, -24, -17, -12 ],
[ 1, 0, -4, -3, 0, 0, 0, 16, 12, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 2, 6, 8, 5, 10, 7, 4 ],
[ 0, -2, -2, -2, -6, -9, -5, -12, -8, -4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -7, -9, -4, -12, -16, -7, -20, -9, -4 ],
[ 4, 7, 10, 4, 12, 18, 7, 24, 10, 4 ],
[ 4, 6, 10, 4, 9, 15, 6, 25, 10, 4 ],
[ -8, -12, -22, -8, -18, -33, -12, -60, -22, -8 ],
[ 4, 6, 12, 4, 9, 18, 6, 36, 12, 4 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -4, -4 ],
[ 0, 0, 1, 1, 0, 3, 3, 10, 8, 6 ],
[ 0, 0, -1, -1, 0, -3, -3, -12, -9, -6 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, -1, -2, -2, -6, -11, -9, -20, -16, -12 ],
[ 0, 1, 2, 2, 6, 12, 9, 24, 18, 12 ],
[ 1, 3, 5, 3, 9, 15, 9, 25, 15, 9 ],
[ -2, -6, -11, -6, -18, -33, -18, -60, -33, -18 ],
[ 1, 3, 6, 3, 9, 18, 9, 36, 18, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, 1, 1, 1, 4, 1, 2, -2, -1, 0 ],
[ 0, -1, -1, -1, -4, 0, -1, 4, 3, 2 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, 1, -2, 0, 1, 0 ],
[ 0, 1, 0, 1, 4, -2, 1, 0, -2, -2 ],
[ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, -2, 0, 0, -1, 0, 2, 2, 0 ],
[ 0, 0, 2, 0, 0, 0, 0, -4, -3, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -4, -3, 1, 2, -2, 1, 2, 0, 0, 0 ],
[ 4, 2, -2, -3, 0, -2, -3, 0, 0, 0 ],
[ 4, 2, -2, -4, 1, -1, -2, 1, 2, 4 ],
[ -8, -2, 6, 10, 0, 2, 3, -4, -7, -12 ],
[ 4, 0, -4, -6, 0, 0, 0, 4, 6, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 2, 3, 0, -1, 4, 1, -1, -2, -1, 0 ],
[ -2, -3, 1, 1, -4, 0, 1, 4, 1, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -3, 1, 2, -4, 1, 3, 0, -1, -2 ],
[ 2, 3, -2, -2, 4, -2, -3, 0, 2, 2 ],
[ 1, 2, -1, -1, 4, -2, -2, 1, 1, 1 ],
[ -2, -4, 3, 2, -8, 6, 4, -4, -3, -2 ],
[ 1, 2, -2, -1, 4, -4, -2, 4, 2, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 2, 4, 4, 3, 6, 6, 3, 6, 3, 0 ],
[ -2, -4, -3, -3, -6, -5, -3, -4, -3, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -5, -5, -4, -12, -12, -9, -12, -9, -6 ],
[ 2, 5, 4, 4, 12, 10, 9, 8, 8, 6 ],
[ 1, 3, 3, 3, 9, 9, 9, 9, 9, 9 ],
[ -2, -6, -5, -6, -18, -15, -18, -12, -15, -18 ],
[ 1, 3, 2, 3, 9, 6, 9, 4, 6, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 2, 2, 2, 6, 6, 3, 6, 3, 0 ],
[ 0, -2, -2, -2, -6, -5, -2, -4, -1, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -4, -7, -7, -2, -12, -12, -3, -12, -3, 0 ],
[ 4, 7, 6, 1, 12, 10, 1, 8, 0, -2 ],
[ 4, 6, 6, 0, 9, 9, 0, 9, 0, 0 ],
[ -8, -12, -10, 2, -18, -15, 3, -12, 3, 0 ],
[ 4, 6, 4, -2, 9, 6, -3, 4, -2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -1, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 6, 3, 0 ],
[ 0, 0, 2, 0, 0, 1, 0, -4, -3, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, 2, 1, 0, 0, 0, -12, -9, -6 ],
[ 0, 0, -4, -2, 0, -2, -1, 8, 8, 6 ],
[ 1, 0, -3, -3, 0, 0, 0, 9, 9, 9 ],
[ -4, -1, 8, 9, 0, 3, 3, -12, -15, -18 ],
[ 4, 2, -4, -6, 1, -2, -3, 4, 6, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -3, 0, -2, -3, 0, -4, 0, 0 ],
[ 2, 3, 6, 2, 4, 7, 2, 10, 2, 0 ],
[ -2, -4, -7, -3, -6, -9, -3, -12, -3, 0 ],
[ 1, 1, 2, 0, 1, 2, 0, 4, 0, 0 ],
[ -2, -3, -7, -2, -4, -9, -2, -20, -4, 0 ],
[ 2, 4, 8, 3, 6, 12, 3, 24, 6, 0 ],
[ 1, 2, 5, 2, 4, 10, 4, 25, 10, 4 ],
[ -2, -5, -11, -5, -12, -27, -12, -60, -27, -12 ],
[ 1, 3, 6, 3, 9, 18, 9, 36, 18, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 2, 0, -2, -3, -2, -4, -3, -6, -3, 0 ],
[ -2, 0, 3, 3, 2, 5, 3, 8, 3, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 1, 3, 4, 0, 0, -1, 0, -3, -6 ],
[ 2, -1, -4, -4, 0, 0, 1, 0, 4, 6 ],
[ 1, -1, -3, -3, 1, 3, 3, 9, 9, 9 ],
[ -2, 2, 7, 6, -2, -7, -6, -24, -21, -18 ],
[ 1, -1, -4, -3, 1, 4, 3, 16, 12, 9 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -1, -1, -4, -3, -2 ],
[ 0, 0, 2, 2, 0, 1, 1, 6, 3, 0 ],
[ 0, 0, -2, -2, 0, -1, -1, -8, -4, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -4, -3, -7, -2, -2, -5, -1, -12, -3, 0 ],
[ 4, 3, 8, 2, 2, 6, 1, 16, 4, 0 ],
[ 4, 2, 6, 0, 1, 3, 0, 9, 0, 0 ],
[ -8, -4, -14, 0, -2, -7, 0, -24, 0, 0 ],
[ 4, 2, 8, 0, 1, 4, 0, 16, 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, 0, -3, -1, -6, -4, -2 ],
[ 0, 1, 1, 1, 0, 4, 1, 8, 5, 2 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 3, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, 0, -4, -1, 0, 0, 0 ],
[ 1, 0, 3, 1, 0, 0, 0, 9, 3, 1 ],
[ -2, 0, -7, -2, 0, 0, 0, -24, -7, -2 ],
[ 1, 0, 4, 1, 0, 0, 0, 16, 4, 1 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -1, -1, 1, 0, 0, 1, 0, 1, 0 ],
[ 2, 0, 2, -1, -2, 0, -1, 2, -1, 0 ],
[ -2, 0, -3, 1, 2, -1, 1, -4, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, 1, -1, 2, 0, 0, -1, 0, 1, -2 ],
[ 2, -1, 2, -2, 0, 0, 1, 0, -2, 2 ],
[ 1, -1, 1, -1, 1, -1, 1, 1, -1, 1 ],
[ -2, 2, -3, 2, -2, 3, -2, -4, 3, -2 ],
[ 1, -1, 2, -1, 1, -2, 1, 4, -2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 0, 0, 6, 3, 0 ],
[ 0, 0, -1, -1, 0, 1, 1, -4, -1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 1 ],
[ 0, 0, -2, -1, 0, 0, 0, -12, -3, 0 ],
[ 0, 0, 2, 1, 0, -2, -1, 8, 0, -2 ],
[ 1, 0, 3, 0, 0, 0, 0, 9, 0, 0 ],
[ -2, 1, -5, 1, 0, 3, 0, -12, 3, 0 ],
[ 1, -1, 2, -1, 1, -2, 1, 4, -2, 1 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 0, -1, -2 ],
[ 0, 0, -2, -2, 0, -1, -1, -2, 1, 4 ],
[ 0, 0, 2, 2, 0, 0, 0, 0, -3, -6 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -4, -3, -1, 4, -2, -1, 3, 0, 1, -4 ],
[ 4, 2, 0, -5, 0, 0, -3, 0, 0, 6 ],
[ 4, 2, 2, -4, 1, 1, -2, 1, -2, 4 ],
[ -8, -2, -2, 10, 0, 0, 3, 0, 3, -12 ],
[ 4, 0, 0, -6, 0, 0, 0, 0, 0, 9 ] ],
[ [ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ -2, -2, -1, 1, -2, -1, 1, 0, 1, 0 ],
[ 2, 1, 0, -3, 0, -1, -3, -2, -3, 0 ],
[ -2, -1, -1, 3, 0, 0, 3, 0, 3, 0 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -1, 1, 4, 0, 1, 3, 0, -1, -6 ],
[ 2, 1, 0, -4, 0, 0, -3, 0, 0, 6 ],
[ 1, 0, -1, -3, 0, 0, 0, 1, 3, 9 ],
[ -2, 0, 1, 6, 0, 0, 0, 0, -3, -18 ],
[ 1, 0, 0, -3, 0, 0, 0, 0, 0, 9 ] ],
[ [ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -2, -1, -2, 0, -1, -2 ],
[ 0, -1, -1, -1, 0, -1, 2, -2, 1, 4 ],
[ 0, 1, 1, 1, 0, 0, -3, 0, -3, -6 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, 0, 1, -2, 0, 1, -4 ],
[ 0, -1, 0, -1, 0, 0, 3, 0, 0, 6 ],
[ 1, 0, 1, -2, 0, 0, 0, 1, -2, 4 ],
[ -2, 0, -1, 5, 0, 0, 0, 0, 3, -12 ],
[ 1, 0, 0, -3, 0, 0, 0, 0, 0, 9 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ],
[ 0, 0, 1, 0, 0, -1, 0, -2, -3, 0 ],
[ 0, 0, -2, 0, 0, 0, 0, 0, 3, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, 1, 0, 1, -2, -1, -4, 0, -1, -6 ],
[ 0, -2, 0, -2, 0, 0, 3, 0, 0, 6 ],
[ 1, -1, -1, -3, 1, 1, 3, 1, 3, 9 ],
[ -4, 2, 2, 9, 0, 0, -3, 0, -3, -18 ],
[ 4, 0, 0, -6, 0, 0, 0, 0, 0, 9 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ -2, -3, -2, -1, -4, -3, -2, -2, -1, 0 ],
[ 2, 4, 3, 2, 6, 5, 4, 4, 3, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 0, 2, 0, 1, 0 ],
[ 0, 0, 0, -1, 0, 0, -3, 0, -2, -2 ],
[ 1, 2, 1, 0, 4, 2, 0, 1, 0, 0 ],
[ -2, -5, -3, -1, -12, -7, -2, -4, -1, 0 ],
[ 1, 3, 2, 1, 9, 6, 3, 4, 2, 1 ] ],
[ [ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ 0, 1, 2, 1, 0, -1, -1, -4, -3, -2 ],
[ -2, -1, 0, 2, 0, 1, 1, 2, 0, -2 ],
[ 2, 1, -1, -3, 0, -1, -1, 0, 2, 4 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -3, 0, -4, 1, 2 ],
[ 0, 1, 2, 1, 2, 2, -1, 0, -4, -4 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ],
[ -2, -2, -1, 3, -2, -1, 3, 0, 2, -4 ],
[ 1, 1, 0, -2, 1, 0, -2, 0, 0, 4 ] ],
[ [ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ -2, -2, -4, -1, 0, -2, 0, -6, -1, 0 ],
[ 2, 2, 5, 1, 0, 2, 0, 8, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 4, 1, 0, 0, 0 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -4, -7, -2, -8, -14, -4, -24, -7, -2 ],
[ 1, 2, 4, 1, 4, 8, 2, 16, 4, 1 ] ],
[ [ 1, 0, -1, -1, 0, 0, 0, 1, 1, 1 ],
[ -2, -1, 1, 1, 0, 1, 1, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, -2, -2, -6, -5, -4 ],
[ -2, -2, -3, -2, 0, 2, 2, 8, 7, 6 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ -2, -3, -3, -2, -4, -3, -2, 0, 0, 0 ],
[ 2, 3, 4, 3, 4, 4, 3, 0, 0, 0 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -2, -4, -7, -5, -8, -14, -10, -24, -17, -12 ],
[ 1, 2, 4, 3, 4, 8, 6, 16, 12, 9 ] ],
[ [ 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ],
[ -2, 0, -1, 1, 0, 0, 0, 0, 1, 0 ],
[ 2, 1, 0, -1, 0, 1, 0, -2, -1, 0 ],
[ -2, -1, 1, 1, 0, -1, 0, 4, 1, 0 ],
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1 ],
[ -2, -1, 1, 2, 0, 0, 1, 0, -1, -2 ],
[ 2, 1, -2, -2, 0, 0, -1, 0, 2, 2 ],
[ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ],
[ -2, -2, 3, 2, -2, 3, 2, -4, -3, -2 ],
[ 1, 1, -2, -1, 1, -2, -1, 4, 2, 1 ] ],
[ [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -2, -3, -2, -2, -3, -2, -4, -3, -2 ],
[ 2, 1, 2, 0, 0, 1, -1, 2, 0, -2 ],
[ -2, 0, -1, 1, 2, 1, 3, 0, 2, 4 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -1, -3, 0, 0, -1, 1, -4, 1, 2 ],
[ 2, 0, 2, -1, -2, -2, -3, 0, -4, -4 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -2, 1, -1, 3, 0, 1, -1, 0, 2, -4 ],
[ 1, -1, 0, -2, 1, 0, 2, 0, 0, 4 ] ],
[ [ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, 1, -1, 0, 1, 0 ],
[ 0, 1, -1, 0, 4, 1, 2, -6, -2, 0 ],
[ 0, -2, 2, 0, -6, -1, -2, 8, 2, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -4, -3, -4, 0, -3, -4 ],
[ 0, 2, 0, 2, 6, 4, 5, 0, 4, 4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -4, -7, -10, -6, -12, -17, -10, -24, -14, -8 ],
[ 4, 6, 8, 4, 9, 12, 6, 16, 8, 4 ] ],
[ [ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ],
[ -2, -4, -5, -3, -8, -10, -6, -12, -7, -4 ],
[ 2, 3, 4, 1, 4, 5, 0, 6, -1, -4 ],
[ -2, -3, -5, -1, -4, -7, 0, -12, -1, 4 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, 0, -4, -4, 1, -4, 1, 2 ],
[ 2, 3, 4, 0, 4, 6, -1, 8, 0, -2 ],
[ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ],
[ -2, -2, -3, 2, -2, -3, 2, -4, 3, -2 ],
[ 1, 1, 2, -1, 1, 2, -1, 4, -2, 1 ] ],
[ [ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ],
[ -2, -2, 1, 2, -2, 1, 2, 0, -1, -2 ],
[ 2, 3, 2, 0, 4, 1, -1, -6, -4, -2 ],
[ -2, -4, -3, -1, -6, -1, 1, 8, 6, 4 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ -2, -3, -3, 0, -4, -3, 1, 0, 3, 2 ],
[ 2, 4, 4, 1, 6, 4, -1, 0, -4, -4 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ],
[ -2, -5, -7, -3, -12, -17, -7, -24, -10, -4 ],
[ 1, 3, 4, 2, 9, 12, 6, 16, 8, 4 ] ],
[ [ 0, 0, 0, 0, 1, 1, 2, 1, 2, 4 ],
[ 0, 0, 0, 0, -2, -1, -3, 0, -1, -4 ],
[ 0, 1, 1, 2, 2, 0, 1, -2, -3, -4 ],
[ 0, -2, -2, -4, -4, -2, -3, 0, 1, 4 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ],
[ 0, -1, 0, -1, -2, 1, 0, 0, 1, 2 ],
[ 0, 2, 0, 2, 4, 0, 1, 0, 0, -2 ],
[ 1, 1, -1, -1, 1, -1, -1, 1, 1, 1 ],
[ -4, -4, 2, 3, -4, 2, 3, 0, -1, -2 ],
[ 4, 4, 0, -2, 4, 0, -2, 0, 0, 1 ] ],
[ [ 1, 1, 1, -1, 1, 1, -1, 1, -1, 1 ],
[ -2, -2, -1, 2, -2, -1, 2, 0, 1, -2 ],
[ 0, 1, -1, 0, 2, 0, -1, -2, 1, 0 ],
[ 0, -2, 0, -1, -4, -2, 1, 0, -1, 2 ],
[ 1, 1, 0, -1, 1, 0, -1, 0, 0, 1 ],
[ 0, -1, 1, 0, -2, 1, 1, 0, -1, 0 ],
[ 0, 2, 0, 1, 4, 0, -1, 0, 0, -2 ],
[ 0, 0, 0, 0, 1, -1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -4, 2, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 4, 0, 2, 0, 0, 1 ] ],
[ [ 0, 0, 0, 0, 1, 3, 2, 9, 6, 4 ],
[ 0, 0, 0, 0, -2, -5, -4, -12, -10, -8 ],
[ 0, -1, -3, -2, 0, -1, 1, -6, 1, 4 ],
[ 0, 2, 6, 4, 2, 5, 1, 12, 1, -4 ],
[ 0, 0, 0, 0, 1, 2, 2, 4, 4, 4 ],
[ 0, 1, 2, 2, 0, 1, -1, 4, 0, -4 ],
[ 0, -2, -4, -4, -2, -4, -1, -8, -2, 4 ],
[ 1, 0, 1, -1, 0, 0, 0, 1, -1, 1 ],
[ -4, -1, -4, 3, 0, -1, 1, -4, 3, -2 ],
[ 4, 2, 4, -2, 1, 2, -1, 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 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ] ] ]),
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, 4, 5, 6, 6, 8, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 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, 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([ [ [ 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, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 4, 6, 6, 7, 7, 9 ],
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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 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 ] ] ] ) ), 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 := [ 5, 6, 6, 7, 7, 8, 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, 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 ] ],
[ [ 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 ] ],
[ [ 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, 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, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, -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 ] ],
[ [ 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 ] ],
[ [ 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, -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 := [ 6, 6, 6, 8, 8, 8, 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 ] ],
[ [ 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 ] ],
[ [ 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, 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, 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 ] ],
[ [ 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, -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 := [ 8, 8, 8, 8, 8, 8, 9 ],
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 ],
[ 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 14, 15, 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 ] ],
[ [ 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, 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, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 2, 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 ],
[ 0, 1, 1, 0, 4, 5, 2, 6, 2, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -3, -8, -10, -6, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 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 ] ],
[ [ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -2, -4, -2, -8, -4, -2 ],
[ 0, 1, 1, 1, 2, 3, 2, 4, 3, 2 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, 1, 2, 1, 4, 5, 3, 4, 3, 2 ],
[ 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 ] ] ] ) ), 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, 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, 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, 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 ],
[ -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, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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, 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 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 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 ],
[ -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, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, -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, 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, -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, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 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, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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([ [ [ 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, 13, 13, 13 ],
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, 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, -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, 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, 2, 1, 4, 2, 1 ],
[ 0, -1, -2, -1, -4, -6, -3, -8, -4, -2 ],
[ 0, 1, 2, 1, 2, 3, 1, 4, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 2, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -1, -4, -4, -1, -4, -1, 0 ],
[ 0, 0, 0, -1, 0, 0, -2, 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, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, 1, 1, 0, 2, 3, 1, 4, 1, 0 ],
[ -2, -3, -3, -1, -4, -5, -2, -4, -1, 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, 2, 0, 2, 0, 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 ] ],
[ [ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 1, 1, 0, 2, 2, 4, 3, 2 ],
[ -2, -2, -3, -2, 0, -2, -2, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -2, -2, -2 ],
[ 0, 1, 1, 1, 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, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, -1, -1, 0, 0, 0 ],
[ 0, 1, 0, 0, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 0, -1, -1, 0, -4, -5, -2, -6, -2, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -4, -3, -4, -5, -4, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ] ] ) ), 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 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, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 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, 2, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 1 ] ],
[ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -2, -4, -3, -2 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 4, 5, 2, 4, 1, 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, -4, -3, -2, -2, -1, 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, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 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, 2, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 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, 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 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ], [ 0, 0, 0, 0, -2, -3,
-2, -4, -3, -2 ],
[ 0, -1, -2, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, 1, 2, 1, 4, 5, 2, 4, 1, 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, -4, -3, -2, -2, -1, 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, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 13, 13, 13, 13, 13, 13, 13, 13, 13 ],
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, 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, 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, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, -1, -4, -3, -2 ],
[ 0, 1, 2, 1, 2, 3, 2, 4, 3, 2 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 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, 2, 2, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ -2, -3, -2, -2, -4, -3, -3, -2, -2, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 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, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -2, -3, -1, -2, -3, -1, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 2, 3, 3, 2, 4, 5, 3, 4, 3, 2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 1, 1, 1, 2, 2, 1, 2, 1, 0 ],
[ -2, -3, -2, -1, -4, -3, -1, -2, -1, 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, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 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 ] ],
[ [ 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 ],
[ -2, -2, -1, -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 ],
[ 2, 3, 2, 1, 4, 3, 1, 2, 1, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -3, -2, -8, -6, -4, -4, -3, -2 ],
[ 1, 2, 1, 1, 4, 2, 2, 1, 1, 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 ] ] ] ) ), 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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ 0, -1, -1, -1, -4, -4, -3, -4, -3, -2 ],
[ 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, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -3, -2, -1, -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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 2, 2, 3, 1, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -1, -2, -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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, -1, -1, 0, -1,
-1, -2, -2, -2 ], [ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 6, 4, 2 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -3, -4, -2, -4, -5, -3, -6, -4, -2 ],
[ 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, -4, -3, -2 ],
[ 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ],
[ 0, 0, 1, 1, 0, 2, 2, 2, 2, 2 ],
[ 0, 0, 0, 0, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 14, 14, 14, 14, 14, 14, 14, 14 ],
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 ],
[ 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 ] ],
[ [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -3, -2, -1, -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, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -3, -3, -2, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, -1, 0, 0, -2, 0, -4, -1, 0 ],
[ 2, 2, 3, 1, 0, 2, 0, 4, 1, 0 ],
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 2, 1, 0 ],
[ -2, -1, -2, -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, 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, 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, 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 ] ] ] ) ) ], [ 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 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 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, 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, 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, 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, 3, 3, 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,
0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 1, 1, 0, 2, 2, 1, 2, 1, 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, -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, 0, 0, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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 ],
[ -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 ] ] ]),
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, 2, 3, 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 ] ],
[ [ 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 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ] ],
[ [ 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, 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([ [ [ 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, -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 ] ],
[ [ 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, 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 ] ],
[ [ 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 ] ],
[ [ 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 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 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 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 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, 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, 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 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -2, -1, -2, -1, 0,
0, 0, 0, 0, 0 ], [ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -4, -2, -4, -6, -3, -8, -4, -2 ],
[ 2, 3, 3, 1, 4, 5, 2, 4, 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, 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 7, 7, 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 ] ],
[ [ 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, -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, 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, 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, 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 ] ],
[ [ 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 ] ],
[ [ 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, 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 ] ],
[ [ 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, 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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -2, 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, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -2, 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, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ],
[ -2, -2, -3, -2, 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, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ],
[ -2, -2, -3, -2, 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, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 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, 4, 3, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, 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 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 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, 4, 3, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 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, 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 ] ],
[ [ 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 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0,
0, 0, 0 ], [ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 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, 4, 3, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 7, 7, 7, 7, 7, 7, 8, 8, 8, 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, 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 ] ],
[ [ 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 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 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 ],
[ -2, -2, -3, -2, 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, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 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, 4, 3, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 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, 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 ] ],
[ [ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, -2, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, -2, -2, -1, 0, 0, 0 ],
[ 2, 3, 3, 2, 4, 3, 2, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ -2, -3, -5, -3, -4, -7, -4, -12, -7, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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 ] ] ] ) ) ], [ 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, 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 ] ],
[ [ 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, -1, -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, 1, 1, 0, 1, 1, 2, 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, 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 ],
[ 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, 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, -1, -1, -1, -2, -2, -1, -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, 1, 1, 0, 1, 1, 2, 1, 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 ] ],
[ [ 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 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 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, 1, 1, 0, 1, 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 ],
[ 0, 0, -1, -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, 1, 1, 0, 1, 1, 2, 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, 0, 0, 1, 1, 1 ] ],
[ [ 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 ] ],
[ [ 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, -1, -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, 1, 1, 0, 1, 1, 2, 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, 0, 0, 1, 1, 1 ] ],
[ [ 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, -1, -1, -1, -2, -2, -1, -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, 1, 1, 0, 1, 1, 2, 1, 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 ] ],
[ [ 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, -1, -1, -1, -2, -2, -1, -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, 1, 1, 0, 1, 1, 2, 1, 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 ] ],
[ [ 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 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 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, 1, 1, 0, 1, 0, 0 ] ] ]),
TheRotSubgroup :=
Group([ [ [ 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, 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, -1, -1, -1, -2, -2, -1, -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, 1, 1, 0, 1, 1, 2, 1, 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 ] ] ]),
BoundaryImage := rec(
ListIFace := [ 1, 1, 1, 2, 2, 2, 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 ] ],
[ [ 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 ] ],
[ [ 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, -1, -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, 1, 1, 0, 1, 1, 2, 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, 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, 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, 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 ] ],
[ [ 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, -1, -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, 1, 1, 0, 1, 1, 2, 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, 0, 0, 1, 1, 1 ] ],
[ [ 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, -1, -1, -1, -2, -2, -1, -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, 1, 1, 0, 1, 1, 2, 1, 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 ] ],
[ [ 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 ],
[ 0, 1, 1, 0, 2, 2, 1, 2, 1, 0 ],
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, -1, -1, 0, -2, -1, 0, 0, 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, 1, 1, 0, 1, 0, 0 ] ] ] ) ), 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 ] ],
[ [ 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, 3, 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, -3, -1, -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, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -2, 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, -1, 0, 0, -4, -3, -2, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, -1, -1, 0, -2, -2, -6, -5, -4 ],
[ 1, 2, 3, 2, 4, 6, 4, 9, 6, 4 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 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, 4, 3, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 0, 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 ],
[ 0, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 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, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 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, -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 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -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 ],
[ 2, 3, 4, 2, 4, 5, 3, 6, 4, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 1 ] ],
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 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 ] ] ]),
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, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 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 ],
[ -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 := [ 3, 3, 3, 4, 4, 4, 4, 4, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -2, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 1, 0, 0, 0, 0, 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, 4, 3, 1, 0, 0, 0 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 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, 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 ],
[ -2, -1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 3, 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, -3, -1, -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, 1, 1, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -1, 0, 0, 0, 0, 0, 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, -4, -5, -3, -6, -4, -2 ],
[ 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 ],
[ -2, -1, -2, -1, 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 ],
[ 1, 1, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ -2, -3, -3, -2, -4, -5, -3, -4, -3, -2 ],
[ 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 ],
[ -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 ],
[ -2, -1, -1, -1, 0, 0, 0, 0, 0, 0 ],
[ 2, 2, 2, 1, 0, 0, 0, 0, 0, 0 ],
[ -2, -2, -3, -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 ],
[ 2, 3, 4, 2, 4, 5, 3, 6, 4, 2 ],
[ 1, 2, 2, 1, 4, 4, 2, 4, 2, 1 ],
[ -2, -4, -5, -2, -8, -10, -4, -12, -5, -2 ],
[ 1, 2, 3, 1, 4, 6, 2, 9, 3, 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 ], [ -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, 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, 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, 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 ] ],
[ [ 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 ] ],
[ [ 0, 0, 0, 0, 1, 0, 0, 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, -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, -1, 0, 0, -1, 0, -2, -1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, -1, 0, 0, -1, 0, -1, -2 ],
[ 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 ] ],
[ [ 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, 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 ] ],
[ [ 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -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, 0, 0, 0, 1, 1, 1 ],
[ 0, 0, 1, 1, 0, 1, 1, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, -2, -1, 0 ],
[ 0, 0, -1, -1, 0, -2, -2, -2, -2, -2 ],
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, -1, 0, 0, -1, 0, -2, 0, 0 ],
[ -2, -3, -2, -1, -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 ] ] ]),
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 ] ],
[ [ 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 ] ],
[ [ 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, 2, 1, 1, 2, 1, 4, 2, 1 ],
[ 0, 0, -1, 0, 0, -1, 0, -4, -1, 0 ],
[ 0, -1, -1, -1, -2, -3, -2, -4, -3, -2 ],
[ 0, 2, 2, 1, 4, 6, 3, 8, 4, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 1, 0, 2, 1, 0 ],
[ 0, 0, 0, 0, 0, -2, 0, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, -4, -4, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 4, 4, 2, 4, 2, 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, 2, 1, 4, 2, 1 ],
[ 0, 0, 0, 0, -2, -3, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 2, 2, 1, 0, 0, 0 ],
[ 0, -1, -2, -1, -4, -5, -3, -4, -3, -2 ],
[ 0, 0, 0, 0, 1, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, -2, -1, 0, 0, 0, 0 ],
[ 0, 1, 1, 0, 4, 3, 1, 2, 1, 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, 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 ] ],
[ [ 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, 2, 1, 0, 2, 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, 0, -2, -1, -4, -1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 2, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 4, 2, 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 ] ],
[ [ 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, 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 ] ] ] ) ) ] ];