CoCalc -- PGL3Eisenstein

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / Hap1.12 / lib / Perturbations / Gcomplexes / PGL3Eisenstein_Integers
⁶¹⁰⁹⁸⁹ views
HAP_GCOMPLEX_SETUP:=[true];


HAP_GCOMPLEX_LIST:=


[ [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1 ],
              ListSign := [ 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1 ],
              ListSign := [ 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1 ],
              ListSign := [ 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 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, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                      [ 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, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 2 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 3 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 3, 3 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 3, 3 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                      [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 3, 3 ],
              ListSign := [ 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], [ 1, -3, -1, 2, -1, 1, 
                      3, 2, 1 ], [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                  [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                  [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                  [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], [ 1, -3, -1, 2, -1, 1, 
                      3, 2, 1 ], [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 2, 2, 2 ],
              ListSign := [ 1, 1, 1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -3, -1, 2, -1, 1, 3, 2, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -3, -1, 2, -1, 1, 3, 2, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], [ 2, -5, 0, 4, -3, -1, 
                      1, 4, 1 ], [ -1, 3, 1, -2, 1, 1, 0, -1, 0 ], 
                  [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 2, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -2, -2, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 2, -5, 0, 4, -2, 1, 3, 4, 1 ], 
                  [ -1, 3, 1, -2, 2, 0, -2, -3, -1 ], 
                  [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -2, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 2, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 3, 3, 3 ],
              ListSign := [ 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 2, -5, 0, 4, -3, -1, 1, 4, 1 ], 
                      [ -1, 3, 1, -2, 1, 1, 0, -1, 0 ], 
                      [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                      [ 0, 0, 0, 0, -1, 1, 2, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -2, -2, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 4, -6, 0, 3, -2, 2, 3, 3, 1 ], 
                      [ 4, -5, 0, 2, -3, 1, 2, 3, 1 ], 
                      [ -2, 3, 1, -1, 2, -1, -2, -2, -1 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 2, 2, 1, -1, 0 ], 
                      [ 0, 0, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 1, 2, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 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, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 4, 4, 5, 5, 8 ],
              ListSign := [ 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 1, -2, 1, 2, -2, -1, -1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 1, 0, -2, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, -1, -1, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 2, 3 ],
              ListSign := [ 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 1, 0, 1, 0, -2, -1, 
                      -1, 0, 1 ], [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 1, 0, 1, 0, -2, -1, 
                      -1, 0, 1 ], [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 2 ],
              ListSign := [ 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 4, 4, 7 ],
              ListSign := [ 1, 1, -1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 1, 0, 1, 0, -1, 1, 0, 
                      1, 1 ], [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 1, -2, -1, 1, -1, 
                      -1, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 2, 2 ],
              ListSign := [ 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 3, 4, 4, 6 ],
              ListSign := [ 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 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, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 5, 5, 6, 10 ],
              ListSign := [ 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 5, 5, 7, 9 ],
              ListSign := [ 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 6, 7, 7 ],
              ListSign := [ 1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 7, 7, 7 ],
              ListSign := [ 1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 
                      1, 0 ], [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, -1, -1, 1, 0, 0, 
                      1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 7, 7, 7 ],
              ListSign := [ 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 1, 0, 0, -1, -1, 0, 
                      -1, 1 ], [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 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 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 1, 0, 0, -1, -1, 0, 
                      -1, 1 ], [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 8, 8, 8, 9, 9, 9 ],
              ListSign := [ 1, 1, 1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 1, 1, -1, -1, 
                      -2, 0, 1 ], [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ],
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                  [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 8, 8, 8, 10, 10, 10 ],
              ListSign := [ 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 9, 9 ],
              ListSign := [ 1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 9, 10 ],
              ListSign := [ 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                      [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 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 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 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, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 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, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 9, 9 ],
              ListSign := [ 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 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, 1, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], [ 2, -4, -1, 2, -2, 1, 
                      3, 3, 1 ], [ -1, 3, 1, -2, 0, -1, -2, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, 1, 2, -1, 0, 0, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                  [ 1, -2, -1, 1, -2, 1, 3, 2, 2 ], 
                  [ -1, 2, 1, -1, 2, 0, -2, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -1, 0, 0, -3, -1, 0, 2, 2 ], 
                  [ 0, -1, 0, 1, 1, 1, 1, 1, -1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                  [ 1, -2, -1, 1, -2, 1, 3, 2, 2 ], 
                  [ -1, 2, 1, -1, 2, 0, -2, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -1, 0, 0, -3, -1, 0, 2, 2 ], 
                  [ 0, -1, 0, 1, 1, 1, 1, 1, -1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                  [ 2, -4, -1, 2, -2, 1, 3, 3, 1 ], 
                  [ -1, 3, 1, -2, 0, -1, -2, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, 1, 2, -1, 0, 0, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                  [ 2, -4, -1, 2, -2, 1, 3, 3, 1 ], 
                  [ -1, 3, 1, -2, 0, -1, -2, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, 1, 2, -1, 0, 0, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                  [ 1, -2, -1, 1, -2, 1, 3, 2, 2 ], 
                  [ -1, 2, 1, -1, 2, 0, -2, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -1, 0, 0, -3, -1, 0, 2, 2 ], 
                  [ 0, -1, 0, 1, 1, 1, 1, 1, -1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 0, 1, 0, 0, -1, 
                      0, 0 ], [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 1, 1, 1, 2, 2, 4, 4, 4, 4, 4, 4 ],
              ListSign := [ 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                      [ 2, -4, -1, 2, -2, 1, 3, 3, 1 ], 
                      [ -1, 3, 1, -2, 0, -1, -2, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, 1, 2, -1, 0, 0, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                      [ 1, -2, -1, 1, -2, 1, 3, 2, 2 ], 
                      [ -1, 2, 1, -1, 2, 0, -2, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -1, 0, 0, -3, -1, 0, 2, 2 ], 
                      [ 0, -1, 0, 1, 1, 1, 1, 1, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                      [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                      [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 1, -3, -1, 2, -2, -1, 1, 3, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, -1, 0, 0, 2, 1 ], 
                      [ -1, 2, -1, -2, 2, 0, -1, -3, -1 ], 
                      [ 1, -2, 0, 1, -2, 0, 1, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                      [ 2, -4, -1, 2, -2, 1, 3, 3, 1 ], 
                      [ -1, 3, 1, -2, 0, -1, -2, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, 1, 2, -1, 0, 0, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                      [ 1, -2, -1, 1, -2, 1, 3, 2, 2 ], 
                      [ -1, 2, 1, -1, 2, 0, -2, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -1, 0, 0, -3, -1, 0, 2, 2 ], 
                      [ 0, -1, 0, 1, 1, 1, 1, 1, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                      [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                      [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 1, 0, 1, 0, -2, -1, 
                      -1, 0, 1 ], [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 1, 0, 1, 0, -2, -1, 
                      -1, 0, 1 ], [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 3, 3, 3, 5, 6, 6, 6, 10, 10, 10, 14 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -3, -1, 2, -1, 1, 3, 2, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -3, 0, 0, 3, 3 ], 
                      [ 1, -1, 1, 1, -2, 1, 1, 3, 2 ], 
                      [ -1, 1, -1, -1, 2, 0, 0, -2, -1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -3, -1, 1, 3, 2 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -2, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 2, 1, 0, 1 ], 
                      [ 0, 0, 1, 0, 0, -1, 0, 1, -1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -3, 0, 0, 3, 3 ], 
                      [ 1, -1, 1, 1, -3, -1, -1, 2, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -1, 0, 0, -2, 1, 2, 2, 2 ], 
                      [ -1, 2, 0, -1, 2, 0, -2, -3, -1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -2, -1, 0, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, -1, -1, 0, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 2, 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, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], [ 1, -3, -1, 2, -1, 1, 
                      3, 2, 1 ], [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 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, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 2, 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, 1, 0, -1, -2, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -2, 1, 2, -1, 1, 2, 3, 1 ], 
                      [ -1, 2, 0, -1, 1, -1, -2, -2, -1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -3, -1, 2, -1, 0, 1, 1, 0 ], 
                      [ 0, 1, 1, -1, 1, 1, 0, -1, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 2, 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, 1, 0, -1, -2, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -2, 1, 2, -1, 1, 2, 3, 1 ], 
                      [ -1, 2, 0, -1, 1, -1, -2, -2, -1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -3, -1, 2, -1, 0, 1, 1, 0 ], 
                      [ 0, 1, 1, -1, 1, 1, 0, -1, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, 1, 2, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, -1, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 1, 1, -1, 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, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 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, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], [ 2, -5, 0, 4, -3, -1, 
                      1, 4, 1 ], [ -1, 3, 1, -2, 1, 1, 0, -1, 0 ], 
                  [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 2, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -2, -2, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 2, -5, 0, 4, -2, 1, 3, 4, 1 ], 
                  [ -1, 3, 1, -2, 2, 0, -2, -3, -1 ], 
                  [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -2, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 2, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 3, 3, 3, 8, 8, 8, 9, 9, 9, 15 ],
              ListSign := [ 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 2, -5, 0, 4, -3, -1, 1, 4, 1 ], 
                      [ -1, 3, 1, -2, 1, 1, 0, -1, 0 ], 
                      [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                      [ 0, 0, 0, 0, -1, 1, 2, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -2, -2, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 4, -6, 0, 3, -2, 2, 3, 3, 1 ], 
                      [ 4, -5, 0, 2, -3, 1, 2, 3, 1 ], 
                      [ -2, 3, 1, -1, 2, -1, -2, -2, -1 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 2, 2, 1, -1, 0 ], 
                      [ 0, 0, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 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, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 1, -2, 1, 2, -2, -1, -1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 1, 0, -2, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, -1, -1, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 4, 4, 4, 4 ],
              ListSign := [ 1, 1, 1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 5, 5, 7 ],
              ListSign := [ 1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 5, 6, 6, 8, 11 ],
              ListSign := [ 1, 1, -1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 6, 6, 6, 7, 12 ],
              ListSign := [ 1, 1, 1, 1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 6, 6, 6, 6, 6, 6, 13, 13 ],
              ListSign := [ 1, -1, -1, 1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 2, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, -1, -1, 0, 0, 0, -1, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 10, 10, 11, 17 ],
              ListSign := [ 1, -1, -1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 10, 10, 10, 12, 16 ],
              ListSign := [ 1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 
                      1, 0 ], [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, -1, -1, 1, 0, 0, 
                      1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 10, 10, 10, 13, 18 ],
              ListSign := [ 1, 1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 11, 11, 12, 12 ],
              ListSign := [ 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 11, 11, 11, 11 ],
              ListSign := [ 1, 1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 11, 11, 12, 13 ],
              ListSign := [ 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 12, 12, 12, 13 ],
              ListSign := [ 1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 
                      1, 0 ], [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, -1, -1, 1, 0, 0, 
                      1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 12, 12, 12, 13 ],
              ListSign := [ 1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], [ 0, 0, 0, 0, 1, 1, 0, 
                      -1, 1 ], [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], [ 1, -2, 1, 2, 0, 0, 0, 
                      0, 0 ], [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 14, 14, 14, 14, 16, 16, 16, 16 ],
              ListSign := [ 1, -1, -1, 1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], [ 0, 0, -1, 1, 0, 0, 
                      0, -1, 0 ], [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ],
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                  [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ],
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                  [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                  [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ],
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                  [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                  [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 
                      0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                  [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 14, 14, 14, 15, 17, 17, 17, 18 ],
              ListSign := [ 1, 1, 1, -1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                      [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                      [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 16, 16, 16, 18 ],
              ListSign := [ 1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 16, 16, 17, 17 ],
              ListSign := [ 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 16, 17, 17, 18 ],
              ListSign := [ 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 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, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 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, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 16, 16, 16, 18 ],
              ListSign := [ 1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 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, 1, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 
                      1, 1 ], [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                  [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                  [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], [ 1, -1, -1, 0, -2, 1, 
                      2, 1, 2 ], [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 17, 17, 17, 17 ],
              ListSign := [ 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                      [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, 0, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 1, 2, 1, -1, 1, -1, 1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, -1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 1, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 0, 1, 0, 0, -1, 
                      0, 0 ], [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
                  1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 
                  5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 ],
              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, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, -1, 1, -1, 1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, -1, 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, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -2, 0, 1, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 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, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -1, 1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, -1, -1, -1, 1, 1 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 1, 0, -2, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
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                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
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                      [ -1, 0, -1, 0, 1, 0, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 1, 2, 1, -1, 1, -1, 1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 0, -2, -1, 1, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 1, 1, 0, 1, 0, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 3, 3, -2, -1, -3, 0, 1 ], 
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                      [ 0, -1, -1, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -2, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 1, -1, -1 ], 
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                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 3, 3, -1, 1, 0, 3, 1 ], 
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                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
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                      [ 0, 1, 0, -2, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -2, 0, 1, 3, 1 ], 
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                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
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                  [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
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                  [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
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                  [ 0, 0, 0, 0, -1, 0, 1, 1, 1 ], 
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                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                  [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                  [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -6, 0, 4, -6, 0, 4, 8, 4 ], 
                  [ 2, -3, 1, 2, -4, -1, 0, 4, 2 ], 
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                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -4, -1, 2, -3, 1, 4, 4, 2 ], 
                  [ -1, 3, 1, -2, 1, 0, -2, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -6, 0, 4, -6, 0, 4, 8, 4 ], 
                  [ 2, -3, 1, 2, -4, -1, 0, 4, 2 ], 
                  [ -1, 1, 0, 0, 3, 1, 0, -2, -2 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -4, -1, 2, -3, 1, 4, 4, 2 ], 
                  [ -1, 3, 1, -2, 1, 0, -2, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                  [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                  [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                  [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -6, 0, 4, -6, 0, 4, 8, 4 ], 
                  [ 2, -4, -1, 2, -3, 1, 4, 4, 2 ], 
                  [ -1, 3, 1, -2, 1, 0, -2, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, 1, 2, -4, -1, 0, 4, 2 ], 
                  [ -1, 1, 0, 0, 3, 1, 0, -2, -2 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 1, 2, 1, -3, 0, -3, 0, 3 ], 
                  [ 1, 0, 2, 1, -3, -1, -2, 1, 2 ], 
                  [ 0, 0, -1, -1, 1, 1, 2, 0, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -2, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 1, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                  [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 1, 2, 1, -3, 0, -3, 0, 3 ], 
                  [ 1, 0, 2, 1, -3, -1, -2, 1, 2 ], 
                  [ 0, 0, -1, -1, 1, 1, 2, 0, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -2, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 1, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -6, 0, 4, -6, 0, 4, 8, 4 ], 
                  [ 2, -4, -1, 2, -3, 1, 4, 4, 2 ], 
                  [ -1, 3, 1, -2, 1, 0, -2, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, 1, 2, -4, -1, 0, 4, 2 ], 
                  [ -1, 1, 0, 0, 3, 1, 0, -2, -2 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 6, 6, 
                  6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 11, 11, 11, 11, 11, 11, 11, 
                  11, 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 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
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                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 0, 1, 0, 0, -1, 
                      0, 0 ], [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 2, 2, 2, 2, 2, 2, 4, 4, 7, 7, 7, 7, 7, 7, 9, 
                  10, 10, 10, 10, 10, 10, 12, 12, 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 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -3, -1, 2, -1, 1, 3, 2, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 2, -1, -2, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -3, -1, 2, -1, 1, 3, 2, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 1, 2, -1, 0, 0, 2, 0 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -3, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, -2, 0, 0, 1, 1 ], 
                      [ 0, -1, -1, 0, 1, 0, 1, 0, -1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                      [ 1, -3, -1, 2, -1, 1, 3, 2, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, -2, -1, 0, 3, 1 ], 
                      [ 1, -3, -1, 2, -2, -1, 1, 3, 1 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, -1, 0, 0, 2, 1 ], 
                      [ -1, 2, -1, -2, 2, 0, -1, -3, -1 ], 
                      [ 1, -2, 0, 1, -2, 0, 1, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 2, 2, 1, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, 0, 0, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -6, 0, 4, -3, 0, 2, 4, 1 ], 
                      [ 2, -4, -1, 2, -2, 1, 3, 3, 1 ], 
                      [ -1, 3, 1, -2, 0, -1, -2, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, 1, 2, -1, 0, 0, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                      [ 1, -2, -1, 1, -2, 1, 3, 2, 2 ], 
                      [ -1, 2, 1, -1, 2, 0, -2, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -1, 0, 0, -3, -1, 0, 2, 2 ], 
                      [ 0, -1, 0, 1, 1, 1, 1, 1, -1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                      [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                      [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, -1, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -2, -2, -1, 1, 1 ], 
                      [ -1, 2, 0, -1, 1, 1, 1, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 0, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
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                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
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                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
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                      [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 5, 6, 6, 7, 7, 8, 8, 13 ],
              ListSign := [ 1, -1, 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 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, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                  [ -1, 0, -1, 0, 1, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 
                      0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 5, 5, 5, 5, 5, 5, 5, 5 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, -1, 0, 1, -1, 0, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ -1, 0, -1, 0, 1, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 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, 0, -1, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
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                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
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                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 5, 8, 8, 8, 8, 8, 8, 9, 16, 17 ],
              ListSign := [ 1, 1, 1, 1, -1, -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 2, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, -1, -1, 0, 0, 0, -1, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], [ 2, -2, 1, 1, -3, -1, 
                      0, 2, 1 ], [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 6, 6, 7, 7, 7, 7, 14 ],
              ListSign := [ 1, -1, -1, 1, 1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], [ 0, 0, 0, 0, -1, -1, 
                      -1, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 7, 7, 7, 7, 8, 8, 9, 15, 15 ],
              ListSign := [ 1, -1, -1, 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 10, 10, 11, 11, 13, 21 ],
              ListSign := [ 1, -1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 10, 10, 10, 10, 14, 24 ],
              ListSign := [ 1, 1, -1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
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                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 10, 10, 11, 12, 15, 22 ],
              ListSign := [ 1, 1, 1, 1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 11, 11, 11, 12, 16, 20 ],
              ListSign := [ 1, 1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 0, 0, 1, 1, 0, 0, 0, 
                      1, 0 ], [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, -1, -1, 1, 0, 0, 
                      1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 11, 11, 11, 12, 17, 23 ],
              ListSign := [ 1, 1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 13, 13, 13, 16, 17 ],
              ListSign := [ 1, 1, 1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 13, 13, 14, 15, 15 ],
              ListSign := [ 1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 13, 15, 15, 16, 17 ],
              ListSign := [ 1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 18, 18, 18, 19, 19, 20, 21, 21, 21, 23 ],
              ListSign := [ 1, 1, 1, -1, 1, -1, -1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 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, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, -1, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, -1, 0, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 0, 1, 1, 1, 0, 0, -1, 0 ], 
                      [ 0, 1, 0, -1, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, -1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 1, 1, 0, -1, 0 ], 
                      [ -1, 2, 1, -1, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], [ 0, 0, 0, 0, 1, 1, 0, 
                      -1, 1 ], [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], [ 1, -2, 1, 2, 0, 0, 0, 
                      0, 0 ], [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 18, 19, 19, 19, 19, 22, 22, 22, 22, 24 ],
              ListSign := [ 1, -1, 1, 1, -1, -1, 1, 1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 20, 21, 21, 21, 23 ],
              ListSign := [ 1, -1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 20, 21, 22, 22, 23 ],
              ListSign := [ 1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 21, 21, 22, 22, 24 ],
              ListSign := [ 1, 1, -1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
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                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
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                  [ 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, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
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              [ [ 1, 0, 3, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, 0, 1, 1, 2, 0 ], 
                  [ 0, 1, 0, -1, -1, -1, -2, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, -1, -1, 1, 0, 0, 2, 1, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -2, 1, 2, 4, 2 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 0, 0, -1, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, -1, -1, 1, 0, 0, 2, 1, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -2, 1, 2, 4, 2 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 0, 0, -1, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -2, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, -3, -1, -1, 1, 2 ], 
                  [ 0, -1, -1, 0, 1, 1, 2, 1, -1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -2, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -2, 1, 1, 2, 2 ], 
                  [ -1, 0, -1, 0, 2, 0, 1, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                  [ 0, 0, -1, 0, 0, 0, 1, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -2, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 3, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, 0, 1, 1, 2, 0 ], 
                  [ 0, 1, 0, -1, -1, -1, -2, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 3, 3, -3, 0, -3, 3, 3 ], 
                  [ 0, 0, 1, 2, 0, 0, -1, 1, 0 ], 
                  [ 0, -1, -1, -1, 0, 0, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -3, -1, -2, 2, 2 ], 
                  [ 0, 1, 0, -1, 1, 1, 1, -1, -1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 1, 2, 1, -3, 0, -3, 0, 3 ], 
                  [ 0, 1, 1, 1, 0, 0, -2, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, 0, -1, 0, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 
                      0, 0 ], [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
                  2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 
                  9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 
                  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 
                  13, 13, 13, 13, 13, 13, 13, 13, 13, 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, -1, -1, -1, -1, 1, -1, 1, 
                  1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 
                  -1, -1, -1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -2, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 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, 1 ] ], 
                  [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, 0, 1, 0, 1, 0 ], 
                      [ 0, 0, -1, -1, -1, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
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                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -6, 0, 4, -6, 0, 4, 8, 4 ], 
                  [ 2, -4, -1, 2, -3, 1, 4, 4, 2 ], 
                  [ -1, 3, 1, -2, 1, 0, -2, -2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, 1, 2, -4, -1, 0, 4, 2 ], 
                  [ -1, 1, 0, 0, 3, 1, 0, -2, -2 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, 2, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                  [ -1, 2, -1, -2, 1, 0, 0, -2, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, 2, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                  [ -1, 2, -1, -2, 1, 0, 0, -2, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 1, 2, 1, -3, 0, -3, 0, 3 ], 
                  [ 1, 0, 2, 1, -3, -1, -2, 1, 2 ], 
                  [ 0, 0, -1, -1, 1, 1, 2, 0, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -2, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 1, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -4, -2, 4, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -2, 2, 0, 1, 2, 0, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, 2, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                  [ -1, 2, -1, -2, 1, 0, 0, -2, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                  [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -4, -2, 4, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -2, 2, 0, 1, 2, 0, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -4, -2, 4, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -2, 2, 0, 1, 2, 0, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -4, -2, 4, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 2, 0, 0, 
                      0, 0, 0 ], [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -2, 2, 0, 1, 2, 0, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 2, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -4, -2, 4, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -2, 2, 0, 1, 2, 0, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 2, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 0, -2, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 
                  7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 18, 18, 
                  18, 18, 18, 18 ],
              ListSign := [ 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 
                  -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 
                  -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 
                  1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 
                  -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, 2, 4, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                      [ -1, 2, -1, -2, 1, 0, 0, -2, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                      [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 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, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -6, 0, 4, -6, 0, 4, 8, 4 ], 
                      [ 2, -4, -1, 2, -3, 1, 4, 4, 2 ], 
                      [ -1, 3, 1, -2, 1, 0, -2, -2, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, 1, 2, -4, -1, 0, 4, 2 ], 
                      [ -1, 1, 0, 0, 3, 1, 0, -2, -2 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, 2, 4, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                      [ -1, 2, -1, -2, 1, 0, 0, -2, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 1, 2, 3, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 2, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -3, -1, 2, 0, 2, 3, 1, 1 ], 
                      [ 0, 1, 1, -1, 0, -1, -2, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, 2, 0, 0, 4 ], 
                      [ 1, -1, -1, 0, -1, 2, 2, 0, 2 ], 
                      [ -1, 1, 0, 0, 2, -1, -2, -2, -2 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
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              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 4, 4, 7, 7, 8, 8, 15, 15 ],
              ListSign := [ 1, -1, -1, 1, 1, -1, 1, 1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 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, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
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                  [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 0, 
                      0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 4, 4, 4, 4, 5, 6, 6, 14, 14 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
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                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                  [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                  [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                  [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                  [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                  [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 1, 0, -1, 
                      -1, 0, 0 ], [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 4, 6, 6, 6, 8, 8, 8, 16, 16, 16 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                      [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -2, 1, 1, 2, 1 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                      [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -2, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 2, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, -1, -1, 0, 0, 0, -1, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 9, 9, 12, 13, 14, 19 ],
              ListSign := [ 1, 1, 1, -1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 9, 10, 11, 11, 15, 21 ],
              ListSign := [ 1, 1, -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 11, 11, 12, 13, 16, 20 ],
              ListSign := [ 1, 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 14, 15, 15, 16, 16, 16 ],
              ListSign := [ 1, -1, -1, -1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 1, -2, -1, 1, -2, 
                      0, 2, 2, 1 ], [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 15, 15, 15, 15, 15, 15 ],
              ListSign := [ 1, -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                  [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                  [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 1, 1, -1, -1, 
                      -2, 0, 1 ], [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ],
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 1, 2, 0, 1 ], 
                  [ 0, 0, 1, 0, 1, 0, -1, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 17, 17, 17, 17, 17, 17, 19, 19, 19, 19, 19, 19 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 0, 1, 0, 0, -1, 0, -1, -2, 2 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 1, -1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, -1, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 0, 1, 0, 0, -1, 0, -1, -2, 2 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 1, -1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], [ 1, 0, 0, 0, -2, 1, 0, 
                      0, 2 ], [ -1, 0, 0, 0, 2, 0, 0, 0, -1 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
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                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
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              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, 0, 0, 0, -2, 1, 0, 0, 2 ], 
                  [ -1, 0, 0, 0, 2, 0, 0, 0, -1 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], [ 0, -1, 0, 2, 1, 0, -1, 
                      -2, 0 ], [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 17, 17, 17, 18, 18, 18, 20, 20, 20, 21, 21, 21 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, 0, 0, 0, -2, 1, 0, 0, 2 ], 
                      [ -1, 0, 0, 0, 2, 0, 0, 0, -1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
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                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, 0, 0, 0, -2, 1, 0, 0, 2 ], 
                      [ -1, 0, 0, 0, 2, 0, 0, 0, -1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
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                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
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                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, 0, 0, 0, -2, 1, 0, 0, 2 ], 
                      [ -1, 0, 0, 0, 2, 0, 0, 0, -1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, 0, 2, 1, 0, -1, -2, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 2, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 19, 20, 20, 20, 21, 21 ],
              ListSign := [ 1, -1, 1, -1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], [ 2, -3, -1, 1, -2, 1, 
                      2, 2, 1 ], [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                  [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 0, 1, 0, 0, -1, 
                      0, 0 ], [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 21, 21, 21, 21, 21, 21 ],
              ListSign := [ 1, -1, 1, -1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 1, -2, -1, 1, 0, 2, 2, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 0, -2, 1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 
                      0, 1 ], [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 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 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 2, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -3, 0, 3, 3, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 1, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 2, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, -2, 0, 0, 1, 1 ], 
                  [ 0, -1, -1, 0, 1, 0, 1, 0, -1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
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              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
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                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
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              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 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, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 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, 1 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
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                  [ 1, 0, 1, 0, -3, -1, -1, 1, 2 ], 
                  [ 0, -1, -1, 0, 1, 1, 2, 1, -1 ], 
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                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ],
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -2, 0, 0, 1, 1 ], 
                  [ 0, -1, -1, 0, 1, 0, 1, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -1, -2, -3, 0, 1 ], 
                  [ 1, -2, 1, 2, -2, -2, -2, 1, 1 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, 0, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -3, -1, -1, 1, 2 ], 
                  [ 0, -1, -1, 0, 1, 1, 2, 1, -1 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 1, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -4, -2, 0, 0, 4 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -2 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -3, -2, -2, 0, 2 ], 
                  [ 0, -1, -1, 0, 0, 1, 2, 2, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 3, 3, -3, 0, -3, 3, 3 ], 
                  [ 0, 0, 1, 2, 0, 0, -1, 1, 0 ], 
                  [ 0, -1, -1, -1, 0, 0, 2, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -3, -1, -2, 2, 2 ], 
                  [ 0, 1, 0, -1, 1, 1, 1, -1, -1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 3, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -2, -1, 0 ], 
                  [ -1, 1, -2, -2, 1, 0, 1, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -1, 1, 3, 3, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 2, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, -1, 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, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -3, 0, 3, -3, -3, -3, 3, 3 ], 
                  [ 1, -2, 1, 2, -3, -2, -2, 2, 2 ], 
                  [ -1, 2, 0, -1, 2, 2, 1, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 2 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, 2, 4, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                  [ -1, 2, -1, -2, 1, 0, 0, -2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 3, 3, -1, 1, 0, 3, 1 ], [ 0, 0, 1, 2, 0, 0, 0, 1, 0 ],
                  [ 0, -1, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 2, 2, -2, 0, -1, 2, 1 ], 
                  [ 0, 1, 0, -1, 1, 0, 0, -2, -1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, -3, 0, 0, 3 ], 
                  [ 0, 0, 0, 0, 0, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -2 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -2, -2, -2, -1, 1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, -3, -3, 3, 3 ], 
                  [ 1, -2, 1, 2, -3, -2, -2, 2, 2 ], 
                  [ -1, 2, 0, -1, 2, 2, 1, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 2 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -3, 0, 3, 6, 3 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, 0, 2, 0, 0, 1, 2, 0 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -3, 0, 3, -4, -2, 0, 6, 4 ], [ 0, -1, -1, 1, 0, 0, 
                      2, 2, 0 ], [ 0, 1, 0, -2, 0, 0, 0, -2, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, 0, 1, 2, 2 ], 
                  [ 0, 0, 0, 0, 0, -1, -2, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, -4, -2, 0, 6, 4 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 1, 2 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -2, -2 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -3, -2, -1, 2, 2 ], 
                  [ 0, 0, 1, 1, 0, 1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
                  1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
                  2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 
                  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
                  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
                  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
                  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
                  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
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                      [ 1, 0, 3, 3, 0, -1, -1, -2, 0 ], 
                      [ -1, 0, -3, -3, 1, 1, 2, 1, 0 ], 
                      [ 1, 0, 3, 3, -1, -2, -3, -3, 1 ], 
                      [ 1, -1, 2, 2, -1, 0, -1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, -1, -1, -2, 0 ], 
                      [ -1, 0, -2, -1, 2, 2, 3, 1, -1 ], 
                      [ 1, -1, 2, 2, -1, -1, -2, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, -3, -3, -3, 3, 3 ], 
                      [ 1, -3, 1, 4, -3, -3, -5, 2, 3 ], 
                      [ -1, 2, -1, -2, 3, 3, 4, -1, -3 ], 
                      [ 1, -2, 2, 4, -3, -3, -6, 0, 3 ], 
                      [ 1, -2, 0, 1, -2, -2, -1, 1, 1 ], 
                      [ 0, 0, 1, 1, -1, 0, -1, 1, 1 ], 
                      [ -1, 1, -2, -2, 3, 2, 3, -1, -2 ], 
                      [ 1, -2, 1, 2, -2, -2, -2, 1, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -3, -3, 0, 3, 3 ], 
                      [ 1, -3, -1, 2, -3, -3, -1, 4, 3 ], 
                      [ -1, 2, 0, -1, 3, 3, 2, -2, -3 ], 
                      [ 1, -3, 0, 3, -3, -3, -3, 3, 3 ], 
                      [ 1, -1, 0, 0, -2, -2, -1, 0, 1 ], 
                      [ 0, -1, 0, 1, -1, 0, 0, 2, 1 ], 
                      [ -1, 2, -1, -2, 3, 2, 2, -2, -2 ], 
                      [ 1, -2, 0, 1, -2, -2, -1, 1, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -3, -3, 0, 3, 3 ], 
                      [ 1, -1, -1, 0, -2, -3, 0, 1, 2 ], 
                      [ 0, 0, 1, 0, 0, 1, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -1, -2, 0, 0, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 2, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 1, 2, 1, -4, -2, -4, -2, 4 ], 
                      [ 1, 1, 1, 0, -4, -2, -2, -2, 4 ], 
                      [ -1, 0, -1, 0, 4, 2, 2, 0, -4 ], 
                      [ 1, 0, 0, 0, -4, -2, 0, 0, 4 ], 
                      [ 0, 0, 0, 0, -1, 0, -1, 0, 2 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -2 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 3, 3, -4, -2, -6, 0, 4 ], 
                      [ 1, 0, 3, 3, -4, -1, -5, 2, 4 ], 
                      [ -1, 0, -3, -3, 3, 1, 4, -1, -2 ], 
                      [ 1, 0, 3, 3, -3, 0, -3, 3, 3 ], 
                      [ 0, 1, 1, 1, 0, 0, -2, -2, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 2, 0 ], 
                      [ 0, 0, -1, -2, 0, 0, 1, -1, 0 ], 
                      [ 0, 1, 1, 1, 0, 0, -2, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, 2, 4, -3, 0, 0, 6, 3 ], 
                      [ 1, -1, 3, 4, -3, 0, -2, 5, 3 ], 
                      [ -1, 1, -2, -2, 3, 0, 1, -4, -3 ], 
                      [ 1, 0, 3, 3, -3, 0, -3, 3, 3 ], 
                      [ 0, 0, 0, 0, 0, 1, 2, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -2, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 1, -1, -2 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 1, 2, 1, -1, 1, -1, 1, 1 ], 
                      [ 1, 1, 3, 2, -2, 1, -2, 2, 2 ], 
                      [ 0, -1, -1, -1, 0, -1, 1, -1, -1 ], 
                      [ 1, 0, 3, 3, -3, 0, -3, 3, 3 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 1, -1, -2 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -4, -2, 0, 0, 4 ], 
                      [ 1, 1, 1, 0, -4, -3, -2, -2, 4 ], 
                      [ 0, -1, 0, 0, 1, 1, 0, 2, -2 ], 
                      [ 1, 1, 2, 1, -3, -3, -3, -3, 3 ], 
                      [ 0, 0, -1, 0, 0, 0, 2, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, -2, -2, 0 ], 
                      [ 0, -1, -1, -1, 0, 0, 1, 2, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 1, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, -1, -1, 1, 0, 0, 
                      1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 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, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 3, 3, 3, 3, 3, 3, 3, 3, 3, 10, 10, 10 ],
              ListSign := [ 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 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, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 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, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -1, 1, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, -1, -1, 1, 0, 0, 1, 
                      0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
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                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
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                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
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                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
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                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
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                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                  [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], [ 2, -3, -1, 1, -2, 1, 
                      2, 2, 1 ], [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 9, 9, 9, 9 ],
              ListSign := [ 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, -1, 1, 1, 1, 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, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
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                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 
                      0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 6, 7, 7, 8, 8, 8, 9, 13 ],
              ListSign := [ 1, -1, -1, -1, 1, 1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 
                      0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 1, -2, -1, 1, -2, 
                      0, 2, 2, 1 ], [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 7, 7, 7, 7, 7, 7, 10, 14 ],
              ListSign := [ 1, -1, -1, 1, 1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 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, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], [ 2, -1, 0, 0, -2, 1, 
                      1, 1, 1 ], [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 1, -2, -1, 1, -2, 
                      0, 2, 2, 1 ], [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 9, 9, 9, 9, 9, 9, 10 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
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                  [ 0, 1, 1, -1, -1, -1, 0, 1, 0 ], 
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                  [ 1, -2, -2, 1, -1, 1, 2, 0, 1 ], 
                  [ -1, 1, 1, 0, 1, -1, -1, 0, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 1, 1, 1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                  [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                  [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                  [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                  [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                  [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 1, 1, -1, -1, 
                      -2, 0, 1 ], [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 
                  13, 14 ],
              ListSign := [ 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 0, 0, -1, 1, 0, 1, 0, -2, 1 ], 
                      [ 0, 1, 1, -1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, -2, -2, 1, -1, 1, 2, 0, 1 ], 
                      [ -1, 1, 1, 0, 1, -1, -1, 0, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 0, 0, -1, 1, 0, 1, 0, -2, 1 ], 
                      [ 0, 1, 1, -1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, -2, -2, 1, -1, 1, 2, 0, 1 ], 
                      [ -1, 1, 1, 0, 1, -1, -1, 0, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 0, -1, -1, 1, 1, 1, 1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -1, -1, 0, -1, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 1, 2, 1, 0 ], 
                      [ 0, 1, 1, -1, -1, -1, -1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, -1, 0, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], [ 0, 1, 1, 1, 0, 0, 
                      -1, -1, 0 ], [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, 0, 0, 1, 0, 0, -1, 
                      0, 0 ], [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 13, 13, 13, 13, 13, 13, 14 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
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                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 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, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 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, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ],
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 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, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 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, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 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, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 1, 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, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -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, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                  [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, -1, -1, 1, 0, 0, 
                      1, 1, 0 ], [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                  [ -1, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, -1, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 
                  6 ],
              ListSign := [ 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 
                  -1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -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, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 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, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
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              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 1, -2, -1, 1, -2, 
                      0, 2, 2, 1 ], [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 4, 4, 4, 4, 5, 6, 8 ],
              ListSign := [ 1, 1, 1, -1, -1, -1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -1, 0, 1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -3, -1, 0, 1, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 1, -1, 1 ], 
                      [ 0, 1, 0, 0, -1, -1, 0, -1, 1 ], 
                      [ 0, -1, -1, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, 0, 0, 0, -1, -1, 
                      0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 6, 6, 6, 6, 6, 6, 6, 6 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], [ 1, -1, 1, 1, -2, 
                      -2, -2, 0, 1 ], [ -1, 1, -1, -1, 1, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                  [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                  [ 1, 0, 2, 1, -2, -1, -2, 0, 1 ], 
                  [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, 1, 1, 0, -2, 0, -1, 0, 1 ], 
                  [ -1, 0, -1, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 1, 1, 0, -1, 0, -1, 0, 1 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                  [ 1, -2, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ 0, 1, 0, -1, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -2, -2, 0, 1 ], 
                  [ -1, 1, -1, -1, 1, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                  [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                  [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                  [ 0, 0, 1, 1, 0, -1, -2, -2, 1 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 1, -1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 1, -1, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 1, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                  [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                  [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                  [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                  [ 0, 0, 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 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 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, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, -1, -1, 1, 1, 0, 
                      -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -2, -2, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, -1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 0, -1, -1, 1, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8 ],
              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, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, -1, 1, 1, -2, -2, -2, 0, 1 ], 
                      [ -1, 1, -1, -1, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 0, 1, 1, 1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 2, 1, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, -1, 0, 1, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, -1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                      [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 1, 2, 1, -2, -1, -2, -1, 1 ], 
                      [ 1, 0, 2, 1, -2, -1, -2, 0, 1 ], 
                      [ 0, 0, -1, -1, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, 1, 1, 0, -2, 0, -1, 0, 1 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 1, 1, 0, -1, 0, -1, 0, 1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, -1, -2, -2, 1 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 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 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, -1, 1, 1, -2, -2, -2, 0, 1 ], 
                      [ -1, 1, -1, -1, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 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 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, -2, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -2, -2, 0, 1 ], 
                      [ -1, 1, -1, -1, 1, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, 0, 1, 0, -2, -2, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 0, 0, 1, 1, 0, -1, -2, -2, 1 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 1, -1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, -1, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, -1, -2, -2, 1 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, -1, 1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                  [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                  [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 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, 0, 0, 1 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, 0, 0, 1, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, 0, 0, 1, 0, 0, -2, -2, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, -1 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                  [ 0, 0, 1, 1, -1, -1, -2, 0, 1 ], 
                  [ 0, 1, 0, -1, 0, 1, 1, 0, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 0, 1, 1, 0, -1, -1, -2, -1, 1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 8, 8, 8, 8, 8, 8, 8, 8 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                      [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 0, 1, 0, 0, -1, 0, -1, -2, 2 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 1, -1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, 0, -1, 0, 0, -1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 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, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ] ) ) ], [ rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 0, -1, 
                      -1, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                  [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                  [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 0, 1, 0, -1, 0, -1, -1, -1, 0 ], 
                  [ 1, -2, 0, 1, -1, 0, 0, 1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 1, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                  [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -2, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, 0, 0, 0, -2, 0, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                  [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                  [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, 0, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                  [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, -1, -1, -1, 
                      0, 1 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 1, 1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, -1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], 
              [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                  [ -1, 0, -1, 0, 1, 0, 1, 0, 0 ], 
                  [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 
                  3, 3, 3, 3, 3 ],
              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, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 0, -1, 0, 1, 1, 0, -1, 0 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -1, 0, 0, 1, 0 ], 
                      [ -1, 0, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, 0, 0, 0, -2, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, -1 ], 
                      [ 0, -1, -1, 0, -1, 0, 1, 1, 1 ], 
                      [ 1, 0, 1, 0, -1, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ -1, 1, 1, 0, 2, 0, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -2, -1, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 0, 1, 0, -1, 1, 1, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 2, -1, 0, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 0, 1, 2, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, -1, -1, 0, 0, 0, -1, 0 ], 
                      [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ] ], 
                  [ [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 0, 1, 1, 0, -1, 0, -1, 0, 1 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, 0, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -3, -1, 1, -3, -1, 1, 2, 1 ], 
                      [ -1, 2, 0, -1, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 2, -1, 0, 0, -2, 1, 1, 1, 1 ], 
                      [ -1, 1, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 0, 0, -1, -1, -1, 0, 1 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, -1, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 0, 1, 1, 0, 1, 1, 0, 0, 0 ], 
                      [ -1, 0, -1, 0, 0, -1, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ -1, 0, -1, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, 0, 0, 1, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 1, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 1, 0 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, 1, 1, 0, 0, -1, 0, 0 ], 
                      [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                      [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 3, -3, 0, 1, -3, 0, 1, 2, 1 ], 
                      [ 2, -2, 1, 1, -3, -1, 0, 2, 1 ], 
                      [ -1, 0, -1, 0, 2, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 2, -3, -1, 1, -2, 1, 2, 2, 1 ], 
                      [ -1, 2, 0, -1, 0, -1, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 0, 0, -1, 0, -1, 0, 1, 0, 1 ], 
                      [ 1, -1, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 0, 1, 1 ], 
                      [ -1, 0, -1, 0, 1, 0, 1, 0, 0 ], 
                      [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ] ], 
                  [ [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, 0, 1, 0, -2, -1, -1, 0, 1 ], 
                      [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ -1, 1, 0, 0, 1, 1, 0, -1, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, -1, -1, 0, 0, 0, 0, 
                      0, 0 ], [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                  [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                  [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                  [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, 0, 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 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                  [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                  [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                  [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                  [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                  [ 1, -1, 1, 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, 0, 1, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, 1, 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, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                  [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                  [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                  [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                  [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                  [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], [ 0, 0, 0, 0, -1, -1, 
                      0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, -1, -1, -1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 0, -1, -1, 1, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, -1, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
              [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -2, 0, 2, 2, 1 ], 
                  [ -1, 2, 1, -1, 1, 0, -1, -1, 0 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, -2, 0, 1, -2, -1, 0, 2, 1 ], 
                  [ -1, 1, 0, 0, 2, 1, 0, -1, -1 ], 
                  [ 0, 1, 0, -1, -1, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 0, 1, 2, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 2, 2, 2, 2, 2, 2, 2, 2, 3, 5 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -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, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 0, 1, 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, 1, 1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 0, 0, -1, 0, 0, 1, 1, 0, 0 ], 
                      [ 1, -1, 0, 0, -1, -1, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, -2, -1, 1, 2, 1 ], 
                      [ 1, -1, -1, 0, -2, -1, 1, 1, 1 ], 
                      [ 0, 0, 1, 0, 0, 0, -1, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -2, -1, 1, -1, -1, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, 0, 1, 1, 1, 0 ], 
                      [ -1, 1, -1, -1, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 1, 0, 1, 1 ], 
                      [ -1, 1, 0, 0, 1, -1, -1, -1, -1 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 0, 0 ], 
                      [ 1, 0, 1, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, 0, 0, 0, -1, 1, 0, 0, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ -1, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 1, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, -1, 0, -1, 0, 1, 1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -2, -1, 1, 1, 2, 1, -1, 1 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, -1, 1 ], 
                      [ 0, 0, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                      [ 1, -2, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ -1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ] ] ] ) ), rec(
          TheMatrixStab := 
           Group([ [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], [ 1, -1, 1, 1, -2, 0, 
                      0, 2, 1 ], [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                  [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                  [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                  [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                  [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                  [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                  [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
              [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
                  [ 0, 0, 0, 0, -1, -1, -1, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ], 
                  [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                  [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 0, 1, 1, 0, 1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
              [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                  [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                  [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                  [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                  [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                  [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                  [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                  [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
              [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                  [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                  [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                  [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                  [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                  [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                  [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                  [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ] ]),
          TheRotSubgroup := 
           Group([ [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], [ 0, -1, -1, 1, 1, 0, 
                      -1, -1, 0 ], [ 0, 0, 1, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, -1, 0, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                  [ 0, 0, 0, 0, -1, -1, 0, 1, 0 ], 
                  [ 0, 0, 0, 0, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
              [ [ 0, 0, 0, 1, 0, 0, -2, -1, 1 ], 
                  [ 0, -1, -1, 1, 1, 0, -1, -1, 0 ], 
                  [ 0, 0, 1, 0, -1, -1, 0, 1, 0 ], 
                  [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -2, -2, 1 ], 
                  [ 0, 0, 0, 0, 0, 0, 1, 1, -1 ], 
                  [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                  [ 0, -1, -1, 1, 1, 1, 0, -1, 0 ], 
                  [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ] ] ]),
          BoundaryImage := rec(
              ListIFace := [ 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 
                  5, 5 ],
              ListSign := [ 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 
                  -1, -1, -1, -1 ],
              ListElt := 
               [ [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0 
                         ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, 1, 1, 2, 1 ], 
                      [ 1, -1, 1, 1, -2, 0, 0, 2, 1 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, -1, -1 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ], 
                      [ 1, -2, 0, 1, -1, 1, 2, 2, 1 ], 
                      [ 0, 1, 0, -1, 0, 0, -1, -1, 0 ], 
                      [ 0, -1, 0, 1, 1, 0, 0, 0, -1 ], 
                      [ 1, -1, 0, 0, -2, 0, 1, 2, 1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 1, -1, -1, 0, -2, 1, 2, 1, 2 ], 
                      [ -1, 1, 0, 0, 2, 0, -1, -2, -1 ], 
                      [ 1, -2, -1, 1, -1, 1, 2, 1, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ -1, 1, 0, 0, 1, 0, 0, -1, 0 ], 
                      [ 1, -1, -1, 0, -2, 0, 1, 1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, 0, -1, 0, -2, 0, 1, 0, 1 ], 
                      [ 0, -1, 0, 0, 1, 0, 0, 1, -1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 1, 1, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ] ], 
                  [ [ 1, 0, 0, 0, -3, 0, 0, 0, 3 ], 
                      [ 0, 1, 0, 0, -1, 0, -1, -2, 2 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 1, -1 ], 
                      [ 0, 0, 0, 1, 0, 0, -1, -2, 1 ], 
                      [ 1, 0, 0, 0, -3, -1, 0, 0, 2 ], 
                      [ 0, 0, 0, 0, 1, 1, 0, 0, -1 ], 
                      [ 0, 0, 1, 0, 0, -1, -1, 0, 0 ], 
                      [ 0, 1, 0, 0, -1, 0, 0, -1, 1 ], 
                      [ 1, 0, 0, 0, -2, -1, 0, 0, 1 ] ], 
                  [ [ 1, -1, -2, 1, -1, 1, 1, -1, 1 ], 
                      [ 1, -2, -2, 1, 0, 1, 1, 0, 0 ], 
                      [ -1, 1, 1, 0, 1, 0, -1, -1, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, -1, 1, 0, 0, 0, -1, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, -1, 0, 0 ], 
                      [ 0, -1, 0, 1, 0, 0, 0, 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, 0, 0, 0 ], 
                      [ 1, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, -1, -1, 0, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, 0, 0, 0, 0, 0 ], 
                      [ -1, 2, 0, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 1, 1, 0 ], 
                      [ 1, -1, 1, 1, -1, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ], 
                  [ [ 1, -3, 0, 3, 0, 0, 0, 0, 0 ], 
                      [ 1, -3, -1, 2, 0, 0, 0, 0, 0 ], 
                      [ 0, 1, 1, -1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, -1, 1, 0, 0, 0, 0, 0 ], 
                      [ 1, -2, 1, 2, -1, -1, -1, 1, 0 ], 
                      [ -1, 2, 0, -1, 1, 0, -1, -2, 0 ], 
                      [ 1, -1, 0, 0, -1, 0, 1, 1, 0 ], 
                      [ 0, -1, 0, 1, 0, -1, -1, 0, 0 ], 
                      [ 1, -1, 1, 1, -2, -1, -1, 1, 1 ] ], 
                  [ [ 1, -1, 1, 1, -1, -2, -2, -1, 1 ], 
                      [ 1, -1, 1, 1, 0, -1, -1, -1, 0 ], 
                      [ 0, 0, 0, 0, -1, 0, 0, 1, 0 ], 
                      [ 1, -1, 1, 1, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 1, 0, -1, -2, -2, 1 ], 
                      [ 0, -1, -1, 0, 1, 1, 1, 1, -1 ], 
                      [ 0, 1, 1, 0, -1, -1, -1, 0, 0 ], 
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