autYrec1:=rec(
  Drecs := [ rec(
          D0toD := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
          DtoD0 := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
          ampleD := [ 4, -6, 2, 0, -2, -1, 1, 1, -2, 1 ],
          autYD := [ rec(
                  gX := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  gY := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec(
                  gX := [ [ 5, -8, 4, 2, 0, 8, 12, 12, 4, 8, 0, -4, -6, -6, -2, -4 ], [ -4, 5, -2, 0, 4, 0, -4, -4, 0, -4, -2, 0, 2, 2, 0, 2 ], 
                      [ -6, 8, -5, -2, 0, -8, -12, -12, -4, -8, 0, 4, 6, 6, 2, 4 ], [ 0, 0, 0, -1, 0, -2, -2, -2, -2, 0, 0, 1, 1, 1, 1, 0 ], [ 3, -4, 2, 1, -1, 3, 5, 5, 1, 4, 1, -1, -2, -2, 0, -2 
                         ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 1, -1, -1, -2, -4, -5, -4, -2, -2, 1, 2, 3, 2, 1, 1 ], 
                      [ -1, 2, 0, 1, 4, 4, 2, 1, 1, -1, -2, -2, -1, 0, 0, 1 ], [ 2, -3, 1, 0, -2, 1, 3, 3, 1, 3, 1, -1, -2, -2, -1, -2 ], [ -2, 3, -1, 0, 2, -1, -3, -3, 0, -2, -1, 1, 2, 2, 0, 1 ],
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ] ],
                  gY := [ [ 5, -8, 4, 2, 0, 4, 6, 6, 2, 4 ], [ -4, 5, -2, 0, 2, 0, -2, -2, 0, -2 ], [ -6, 8, -5, -2, 0, -4, -6, -6, -2, -4 ], 
                      [ 0, 0, 0, -1, 0, -1, -1, -1, -1, 0 ], [ 6, -8, 4, 2, -1, 3, 5, 5, 1, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ -2, 2, -2, -2, -2, -4, -5, -4, -2, -2 ], 
                      [ -2, 4, 0, 2, 4, 4, 2, 1, 1, -1 ], [ 4, -6, 2, 0, -2, 1, 3, 3, 1, 3 ], [ -4, 6, -2, 0, 2, -1, -3, -3, 0, -2 ] ] ), rec(
                  gX := [ [ 7, -12, 4, 0, -8, -8, 0, 0, -12, 0, 4, 4, 0, 0, 6, 0 ], [ -4, 7, -2, 0, 4, 4, 0, 0, 8, 0, -2, -2, 0, 0, -4, 0 ], 
                      [ -6, 12, -3, 0, 8, 8, 0, 0, 12, 0, -4, -4, 0, 0, -6, 0 ], [ -2, 4, -2, -1, 0, -2, -2, -2, 2, -2, 0, 1, 1, 1, -1, 1 ], 
                      [ 2, -4, 1, 0, -3, -3, -1, -1, -5, -1, 2, 2, 1, 1, 3, 1 ], [ 1, -2, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, -1, -1, 0, -1 ], 
                      [ -1, 2, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 1, 0, -1, 0 ], [ -2, 3, -1, 0, 2, 2, 0, -1, 3, 0, -1, -1, 0, 1, -1, 0 ], [ 4, -6, 2, 0, -4, -4, 0, 0, -7, 0, 2, 2, 0, 0, 3, 0 ], 
                      [ -2, 3, -1, 0, 2, 3, 1, 1, 4, 0, -1, -2, -1, -1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0 ] ],
                  gY := [ [ 7, -12, 4, 0, -4, -4, 0, 0, -6, 0 ], [ -4, 7, -2, 0, 2, 2, 0, 0, 4, 0 ], [ -6, 12, -3, 0, 4, 4, 0, 0, 6, 0 ], 
                      [ -2, 4, -2, -1, 0, -1, -1, -1, 1, -1 ], [ 4, -8, 2, 0, -3, -3, -1, -1, -5, -1 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ -2, 4, -2, 0, 0, 0, -1, 0, 2, 0 ], 
                      [ -4, 6, -2, 0, 2, 2, 0, -1, 3, 0 ], [ 8, -12, 4, 0, -4, -4, 0, 0, -7, 0 ], [ -4, 6, -2, 0, 2, 3, 1, 1, 4, 0 ] ] ), rec(
                  gX := [ [ 11, -16, 4, -2, -16, -12, 0, 0, -16, 4, 8, 6, 0, 0, 8, -2 ], [ -8, 11, -4, 0, 8, 4, -4, -4, 8, -4, -4, -2, 2, 2, -4, 2 ], 
                      [ -12, 16, -5, 2, 16, 12, 0, 0, 16, -4, -8, -6, 0, 0, -8, 2 ], [ -2, 2, 0, 1, 4, 6, 2, 2, 4, 0, -2, -3, -1, -1, -2, 0 ], 
                      [ 5, -7, 2, -1, -7, -5, 1, 1, -6, 2, 4, 3, 0, 0, 3, -1 ], [ 1, -1, 0, 0, -2, -2, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0 ], 
                      [ -2, 3, 0, 1, 6, 6, 3, 2, 4, 0, -3, -3, -1, -1, -2, 0 ], [ -3, 4, -2, -1, 0, -3, -5, -4, 2, -2, 0, 1, 2, 2, -1, 1 ], [ 6, -9, 3, 0, -6, -3, 3, 3, -7, 3, 3, 2, -1, -1, 4, -1 
                         ], [ -4, 6, -2, 0, 4, 2, -2, -2, 4, -3, -2, -1, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ],
                  gY := [ [ 11, -16, 4, -2, -8, -6, 0, 0, -8, 2 ], [ -8, 11, -4, 0, 4, 2, -2, -2, 4, -2 ], [ -12, 16, -5, 2, 8, 6, 0, 0, 8, -2 ], 
                      [ -2, 2, 0, 1, 2, 3, 1, 1, 2, 0 ], [ 10, -14, 4, -2, -7, -5, 1, 1, -6, 2 ], [ 2, -2, 0, 0, -2, -2, -1, -1, -2, 0 ], [ -4, 6, 0, 2, 6, 6, 3, 2, 4, 0 ], 
                      [ -6, 8, -4, -2, 0, -3, -5, -4, 2, -2 ], [ 12, -18, 6, 0, -6, -3, 3, 3, -7, 3 ], [ -8, 12, -4, 0, 4, 2, -2, -2, 4, -3 ] ] ) ],
          no := 0,
          orbitrecs := [ rec(
                  innout := "inner",
                  isnew := rec(
                      flag := true,
                      no := 1 ),
                  orbit := [ [ 1, -3, 2, 2, 2, 4, 4, 4, 2, 2 ], [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 3, -5, 0, -2, -4, -4, -2, -2, -4, 0 ], [ 3, -5, 2, 0, -2, -2, 0, 0, -2, 0 ] ],
                  orbitnumber := 1,
                  reflection := [ [ 4, -9, 6, 6, 6, 12, 12, 12, 6, 6 ], [ -1, 4, -2, -2, -2, -4, -4, -4, -2, -2 ], [ -2, 6, -3, -4, -4, -8, -8, -8, -4, -4 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -6, 4, 4, 5, 8, 8, 8, 4, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -2, 6, -4, -4, -4, -8, -8, -7, -4, -4 ], [ 2, -6, 4, 4, 4, 8, 8, 8, 5, 4 ], [ -2, 6, -4, -4, -4, -8, -8, -8, -4, -3 ] ],
                  representative := [ 1, -3, 2, 2, 2, 4, 4, 4, 2, 2 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 7, -12, 6, 4, 4, 16, 20, 24, 8, 12, -2, -8, -10, -12, -4, -6 ], [ -4, 7, -2, 0, 4, 0, -4, -8, 0, -4, -2, 0, 2, 4, 0, 2 ], 
                              [ -6, 10, -5, -2, -2, -10, -14, -18, -4, -8, 1, 5, 7, 9, 2, 4 ], [ 0, 0, 0, -1, -2, -4, -2, -2, 0, 0, 1, 2, 1, 1, 0, 0 ], 
                              [ 3, -5, 2, 1, 0, 4, 7, 9, 2, 4, 0, -2, -3, -4, -1, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 5, -2, -1, 1, -3, -5, -7, -1, -4, 0, 2, 3, 4, 1, 2 ], 
                              [ 3, -5, 2, 1, -1, 3, 5, 8, 2, 4, 0, -2, -3, -4, -1, -2 ], [ -2, 4, -1, 0, 2, 0, -2, -5, -1, -3, -1, 0, 1, 2, 0, 1 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1 ] ],
                          gY := [ [ 7, -12, 6, 4, 2, 8, 10, 12, 4, 6 ], [ -4, 7, -2, 0, 2, 0, -2, -4, 0, -2 ], [ -6, 10, -5, -2, -1, -5, -7, -9, -2, -4 ], 
                              [ 0, 0, 0, -1, -1, -2, -1, -1, 0, 0 ], [ 6, -10, 4, 2, 0, 4, 7, 9, 2, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, -1, -1, -1, 0 ], 
                              [ -6, 10, -4, -2, 1, -3, -5, -7, -1, -4 ], [ 6, -10, 4, 2, -1, 3, 5, 8, 2, 4 ], [ -4, 8, -2, 0, 2, 0, -2, -5, -1, -3 ] ] ),
                      flag := false,
                      isomwith := 1 ),
                  orbit := [ [ 0, 0, -2, -2, -3, -4, -3, -2, -1, 0 ], [ 0, 0, 2, 2, 3, 4, 3, 2, 2, 1 ], [ 2, -4, 2, 2, 1, 3, 4, 3, 0, 1 ], [ 2, -2, 0, -2, -3, -4, -3, -2, -3, -1 ] ],
                  orbitnumber := 2,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, -2, -3, -4, -3, -2, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 2, 2, 3, 4, 3, 2, 1, 1 ] ],
                  representative := [ 0, 0, -2, -2, -3, -4, -3, -2, -1, 0 ] ), rec(
                  innout := [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
                  isnew := "null",
                  orbit := [ [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 2, -4, 0, -2, -4, -4, -2, -1, -2, 0 ], [ 2, -2, 2, 2, 2, 4, 4, 3, 1, 2 ] ],
                  orbitnumber := 3,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ] ), rec(
                  innout := [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0 ],
                  isnew := "null",
                  orbit := [ [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ 2, -2, 0, 0, -2, -2, -1, -1, -2, 0 ] ],
                  orbitnumber := 4,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ], [ 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, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ] ],
                  representative := [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 7, -12, 8, 8, 12, 28, 28, 28, 12, 16, -6, -14, -14, -14, -6, -8 ], [ -4, 7, -4, -4, -4, -12, -12, -12, -4, -8, 2, 6, 6, 6, 2, 4 ], 
                              [ -6, 10, -7, -6, -8, -20, -20, -20, -8, -12, 4, 10, 10, 10, 4, 6 ], [ -2, 2, -2, -3, -4, -8, -8, -8, -4, -4, 2, 4, 4, 4, 2, 2 ], 
                              [ 3, -5, 3, 3, 3, 10, 10, 10, 4, 6, -1, -5, -5, -5, -2, -3 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 4, -2, -2, -2, -6, -7, -7, -3, -5, 1, 3, 4, 4, 2, 3 ], 
                              [ 3, -5, 3, 3, 4, 10, 10, 10, 4, 7, -2, -5, -5, -5, -2, -4 ], [ -3, 5, -3, -3, -4, -10, -10, -10, -3, -6, 2, 5, 5, 5, 1, 3 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
                          gY := [ [ 7, -12, 8, 8, 6, 14, 14, 14, 6, 8 ], [ -4, 7, -4, -4, -2, -6, -6, -6, -2, -4 ], [ -6, 10, -7, -6, -4, -10, -10, -10, -4, -6 ], 
                              [ -2, 2, -2, -3, -2, -4, -4, -4, -2, -2 ], [ 6, -10, 6, 6, 3, 10, 10, 10, 4, 6 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                              [ -4, 8, -4, -4, -2, -6, -7, -7, -3, -5 ], [ 6, -10, 6, 6, 4, 10, 10, 10, 4, 7 ], [ -6, 10, -6, -6, -4, -10, -10, -10, -3, -6 ] ] ),
                      flag := false,
                      isomwith := 1 ),
                  orbit := [ [ 0, 0, 1, 3, 3, 5, 4, 3, 2, 1 ], [ 2, -4, -1, -3, -5, -7, -4, -3, -4, -1 ], [ 2, -2, 1, -1, -1, -1, 0, 1, 0, 1 ], [ 4, -6, 3, 1, -1, 1, 2, 1, -2, 1 ] ],
                  orbitnumber := 5,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 3, 5, 4, 3, 2, 1 ], 
                      [ 0, 0, -1, -2, -3, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 0, 0, 1, 3, 3, 5, 4, 3, 2, 1 ] ), rec(
                  innout := [ 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, 1, 1, 1, 1, 1, 0 ],
                  isnew := "null",
                  orbit := [ [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ 2, -2, 0, -2, -3, -4, -2, -2, -2, 0 ], [ 2, -2, 2, 2, 1, 3, 3, 3, 1, 1 ] ],
                  orbitnumber := 6,
                  reflection := [ [ 1, -4, 0, 0, -2, -2, -2, -2, -2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 1, 0, 1, 1, 1, 1, 1, 0 ], 
                      [ 0, 2, 0, 1, 1, 1, 1, 1, 1, 0 ], [ 0, -2, 0, 0, 0, -1, -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, 0, 1, 0, 0 ],
                      [ 0, -2, 0, 0, -1, -1, -1, -1, 0, 0 ], [ 0, 2, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
                  representative := [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 21, -36, 6, -8, -36, -24, 4, -4, -32, 12, 18, 12, -2, 2, 16, -6 ], [ -12, 21, -4, 4, 20, 12, -4, 0, 16, -8, -10, -6, 2, 0, -8, 4 ], 
                              [ -18, 30, -5, 6, 30, 18, -6, 0, 24, -12, -15, -9, 3, 0, -12, 6 ], [ -2, 4, -2, -1, -2, -6, -6, -4, 0, -4, 1, 3, 3, 2, 0, 2 ], 
                              [ 9, -15, 3, -3, -14, -9, 3, 0, -12, 6, 7, 5, -1, 0, 6, -3 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], 
                              [ -1, 1, 0, 1, 3, 3, 2, 2, 2, 0, -1, -1, -1, -1, -1, 0 ], [ -7, 13, -2, 3, 13, 9, -1, 1, 11, -4, -7, -5, 0, -1, -6, 2 ], 
                              [ 10, -18, 3, -4, -18, -12, 2, -2, -15, 6, 9, 6, -1, 1, 8, -3 ], [ -8, 14, -3, 2, 12, 6, -4, 0, 11, -5, -6, -3, 2, 0, -6, 2 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ] ],
                          gY := [ [ 21, -36, 6, -8, -18, -12, 2, -2, -16, 6 ], [ -12, 21, -4, 4, 10, 6, -2, 0, 8, -4 ], [ -18, 30, -5, 6, 15, 9, -3, 0, 12, -6 ], 
                              [ -2, 4, -2, -1, -1, -3, -3, -2, 0, -2 ], [ 18, -30, 6, -6, -14, -9, 3, 0, -12, 6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 2, 0, 2, 3, 3, 2, 2, 2, 0 ], 
                              [ -14, 26, -4, 6, 13, 9, -1, 1, 11, -4 ], [ 20, -36, 6, -8, -18, -12, 2, -2, -15, 6 ], [ -16, 28, -6, 4, 12, 6, -4, 0, 11, -5 ] ] ),
                      flag := false,
                      isomwith := 1 ),
                  orbit := [ [ 1, -3, 1, 0, 0, 1, 2, 1, 0, 1 ], [ 1, -1, -1, -2, -4, -5, -4, -3, -2, -1 ], [ 3, -5, 1, 0, -2, -1, 0, 1, -2, 1 ], [ 3, -3, 3, 2, 2, 3, 4, 3, 0, 1 ] ],
                  orbitnumber := 7,
                  reflection := [ [ 4, -9, 3, 0, 0, 3, 6, 3, 0, 3 ], [ -1, 4, -1, 0, 0, -1, -2, -1, 0, -1 ], [ -2, 6, -1, 0, 0, -2, -4, -2, 0, -2 ], 
                      [ 1, -3, 1, 1, 0, 1, 2, 1, 0, 1 ], [ 2, -6, 2, 0, 1, 2, 4, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 6, -2, 0, 0, -2, -3, -2, 0, -2 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, -6, 2, 0, 0, 2, 4, 2, 1, 2 ], [ -2, 6, -2, 0, 0, -2, -4, -2, 0, -1 ] ],
                  representative := [ 1, -3, 1, 0, 0, 1, 2, 1, 0, 1 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 21, -36, 20, 6, -4, 8, 24, 24, -16, 4, 2, -4, -12, -12, 8, -2 ], [ -12, 21, -12, -4, 0, -8, -16, -16, 8, -4, 0, 4, 8, 8, -4, 2 ], 
                              [ -20, 34, -19, -6, 2, -10, -24, -24, 16, -4, -1, 5, 12, 12, -8, 2 ], [ -4, 8, -4, -1, 2, -2, -4, -4, 4, 0, -1, 1, 2, 2, -2, 0 ], 
                              [ 8, -14, 8, 3, 0, 5, 10, 10, -6, 2, 0, -2, -5, -5, 3, -1 ], [ 2, -4, 2, 0, -1, 0, 2, 2, -2, 0, 1, 0, -1, -1, 1, 0 ], 
                              [ -2, 4, -2, 0, 1, 1, -1, -2, 2, 0, -1, -1, 0, 1, -1, 0 ], [ -6, 10, -6, -2, 0, -4, -8, -7, 4, -2, 0, 2, 4, 3, -2, 1 ], 
                              [ 9, -15, 9, 3, 0, 6, 12, 12, -5, 3, 0, -3, -6, -6, 2, -2 ], [ -8, 14, -8, -3, 0, -6, -12, -12, 4, -3, 0, 3, 6, 6, -2, 2 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                          gY := [ [ 21, -36, 20, 6, -2, 4, 12, 12, -8, 2 ], [ -12, 21, -12, -4, 0, -4, -8, -8, 4, -2 ], [ -20, 34, -19, -6, 1, -5, -12, -12, 8, -2 ], 
                              [ -4, 8, -4, -1, 1, -1, -2, -2, 2, 0 ], [ 16, -28, 16, 6, 0, 5, 10, 10, -6, 2 ], [ 4, -8, 4, 0, -1, 0, 2, 2, -2, 0 ], [ -4, 8, -4, 0, 1, 1, -1, -2, 2, 0 ], 
                              [ -12, 20, -12, -4, 0, -4, -8, -7, 4, -2 ], [ 18, -30, 18, 6, 0, 6, 12, 12, -5, 3 ], [ -16, 28, -16, -6, 0, -6, -12, -12, 4, -3 ] ] ),
                      flag := false,
                      isomwith := 1 ),
                  orbit := [ [ 1, -3, 2, 1, 1, 2, 2, 2, 0, 0 ], [ 1, -1, 0, -1, -1, -2, -2, -2, -2, 0 ], [ 3, -5, 2, 1, -1, 0, 2, 2, 0, 2 ], [ 3, -3, 0, -1, -3, -2, 0, 0, -2, 0 ] ],
                  orbitnumber := 8,
                  reflection := [ [ 4, -9, 6, 3, 3, 6, 6, 6, 0, 0 ], [ -1, 4, -2, -1, -1, -2, -2, -2, 0, 0 ], [ -3, 9, -5, -3, -3, -6, -6, -6, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -6, 4, 2, 3, 4, 4, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -2, 6, -4, -2, -2, -4, -4, -3, 0, 0 ], [ 2, -6, 4, 2, 2, 4, 4, 4, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 1, -3, 2, 1, 1, 2, 2, 2, 0, 0 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 7, -20, -6, -18, -52, -72, -48, -32, -36, -12, 26, 36, 24, 16, 18, 6 ], [ -4, 11, 2, 8, 24, 32, 20, 12, 16, 4, -12, -16, -10, -6, -8, -2 ], 
                              [ -6, 16, 5, 14, 42, 58, 38, 24, 28, 8, -21, -29, -19, -12, -14, -4 ], [ 0, 2, 0, 1, 2, 4, 4, 2, 2, 0, -1, -2, -2, -1, -1, 0 ], 
                              [ 3, -8, -2, -7, -20, -28, -18, -11, -13, -4, 10, 14, 9, 6, 7, 2 ], [ 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 8, 2, 7, 20, 27, 18, 12, 14, 4, -10, -14, -9, -6, -7, -2 ], 
                              [ 3, -9, -2, -7, -20, -27, -17, -11, -14, -4, 10, 14, 9, 6, 7, 2 ], [ -2, 6, 1, 4, 12, 16, 10, 6, 9, 3, -6, -8, -5, -3, -4, -1 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ],
                          gY := [ [ 7, -20, -6, -18, -26, -36, -24, -16, -18, -6 ], [ -4, 11, 2, 8, 12, 16, 10, 6, 8, 2 ], [ -6, 16, 5, 14, 21, 29, 19, 12, 14, 4 ], 
                              [ 0, 2, 0, 1, 1, 2, 2, 1, 1, 0 ], [ 6, -16, -4, -14, -20, -28, -18, -11, -13, -4 ], [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 2, 0, 0, 1, 1, 0, 0, 0, 0 ], 
                              [ -6, 16, 4, 14, 20, 27, 18, 12, 14, 4 ], [ 6, -18, -4, -14, -20, -27, -17, -11, -14, -4 ], [ -4, 12, 2, 8, 12, 16, 10, 6, 9, 3 ] ] ),
                      flag := false,
                      isomwith := 1 ),
                  orbit := [ [ 0, -1, -1, -3, -3, -5, -4, -3, -2, -1 ], [ 2, -3, 1, 1, -1, 1, 2, 1, 0, 1 ], [ 2, -3, 3, 3, 3, 5, 4, 3, 0, 1 ], [ 4, -5, 1, -1, -3, -3, 0, 1, -2, 1 ] ],
                  orbitnumber := 9,
                  reflection := [ [ 1, -1, -1, -3, -3, -5, -4, -3, -2, -1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 2, 3, 3, 5, 4, 3, 2, 1 ], 
                      [ 0, -1, -1, -2, -3, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 0, -1, -1, -3, -3, -5, -4, -3, -2, -1 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 23, -36, -4, -16, -76, -84, -44, -20, -52, -8, 38, 42, 22, 10, 26, 4 ], [ -12, 19, 2, 8, 40, 44, 24, 12, 28, 4, -20, -22, -12, -6, -14, -2 ], 
                              [ -20, 32, 3, 14, 66, 74, 40, 20, 48, 8, -33, -37, -20, -10, -24, -4 ], [ -2, 4, 0, 1, 6, 6, 4, 0, 4, 0, -3, -3, -2, 0, -2, 0 ], 
                              [ 10, -16, -2, -7, -34, -37, -20, -10, -24, -4, 17, 19, 10, 5, 12, 2 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ -2, 3, 1, 2, 9, 11, 7, 4, 6, 2, -4, -5, -3, -2, -3, -1 ], [ -6, 9, 1, 4, 19, 21, 11, 5, 13, 1, -10, -11, -6, -3, -7, -1 ], 
                              [ 9, -14, -2, -7, -32, -36, -20, -10, -21, -3, 16, 18, 10, 5, 11, 2 ], [ -8, 13, 1, 5, 26, 28, 14, 6, 17, 2, -13, -14, -7, -3, -9, -1 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
                          gY := [ [ 23, -36, -4, -16, -38, -42, -22, -10, -26, -4 ], [ -12, 19, 2, 8, 20, 22, 12, 6, 14, 2 ], [ -20, 32, 3, 14, 33, 37, 20, 10, 24, 4 ], 
                              [ -2, 4, 0, 1, 3, 3, 2, 0, 2, 0 ], [ 20, -32, -4, -14, -34, -37, -20, -10, -24, -4 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ -4, 6, 2, 4, 9, 11, 7, 4, 6, 2 ], 
                              [ -12, 18, 2, 8, 19, 21, 11, 5, 13, 1 ], [ 18, -28, -4, -14, -32, -36, -20, -10, -21, -3 ], [ -16, 26, 2, 10, 26, 28, 14, 6, 17, 2 ] ] ),
                      flag := false,
                      isomwith := 1 ),
                  orbit := [ [ 1, -2, -1, -1, -3, -3, -2, -1, -2, -1 ], [ 1, -2, 1, 1, 1, 1, 2, 1, 0, 1 ], [ 3, -4, 1, -1, -3, -3, -2, -1, -2, 1 ], [ 3, -4, 3, 1, 1, 3, 4, 3, 0, 1 ] ],
                  orbitnumber := 10,
                  reflection := [ [ 3, -4, -2, -2, -6, -6, -4, -2, -4, -2 ], [ -1, 3, 1, 1, 3, 3, 2, 1, 2, 1 ], [ -1, 2, 2, 1, 3, 3, 2, 1, 2, 1 ], 
                      [ -1, 2, 1, 2, 3, 3, 2, 1, 2, 1 ], [ 2, -4, -2, -2, -5, -6, -4, -2, -4, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -2, 4, 2, 2, 6, 6, 4, 3, 4, 2 ], [ 2, -4, -2, -2, -6, -6, -4, -2, -3, -2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 1, -2, -1, -1, -3, -3, -2, -1, -2, -1 ] ) ],
          walls := [ [ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 2, 3, 4, 3, 2, 2, 1 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 3, 3, 5, 4, 3, 2, 1 ], [ 0, 0, -2, -2, -3, -4, -3, -2, -1, 0 ], 
              [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ 1, -1, -1, -2, -4, -5, -4, -3, -2, -1 ], [ 1, -1, 0, -1, -1, -2, -2, -2, -2, 0 ], [ 0, -1, -1, -3, -3, -5, -4, -3, -2, -1 ], 
              [ 2, -2, 2, 2, 1, 3, 3, 3, 1, 1 ], [ 2, -2, 0, -2, -3, -4, -3, -2, -3, -1 ], [ 2, -2, 0, -2, -3, -4, -2, -2, -2, 0 ], [ 2, -2, 1, -1, -1, -1, 0, 1, 0, 1 ], 
              [ 2, -2, 0, 0, -2, -2, -1, -1, -2, 0 ], [ 2, -2, 2, 2, 2, 4, 4, 3, 1, 2 ], [ 1, -2, 1, 1, 1, 1, 2, 1, 0, 1 ], [ 1, -2, -1, -1, -3, -3, -2, -1, -2, -1 ], 
              [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 3, -3, 3, 2, 2, 3, 4, 3, 0, 1 ], [ 3, -3, 0, -1, -3, -2, 0, 0, -2, 0 ], [ 2, -3, 3, 3, 3, 5, 4, 3, 0, 1 ], 
              [ 2, -3, 1, 1, -1, 1, 2, 1, 0, 1 ], [ 1, -3, 2, 1, 1, 2, 2, 2, 0, 0 ], [ 1, -3, 2, 2, 2, 4, 4, 4, 2, 2 ], [ 1, -3, 1, 0, 0, 1, 2, 1, 0, 1 ], 
              [ 3, -4, 1, -1, -3, -3, -2, -1, -2, 1 ], [ 3, -4, 3, 1, 1, 3, 4, 3, 0, 1 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ 2, -4, 0, -2, -4, -4, -2, -1, -2, 0 ], 
              [ 2, -4, -1, -3, -5, -7, -4, -3, -4, -1 ], [ 2, -4, 2, 2, 1, 3, 4, 3, 0, 1 ], [ 4, -5, 1, -1, -3, -3, 0, 1, -2, 1 ], 
              [ 3, -5, 2, 0, -2, -2, 0, 0, -2, 0 ], [ 3, -5, 2, 1, -1, 0, 2, 2, 0, 2 ], [ 3, -5, 1, 0, -2, -1, 0, 1, -2, 1 ], [ 3, -5, 0, -2, -4, -4, -2, -2, -4, 0 ], 
              [ 4, -6, 3, 1, -1, 1, 2, 1, -2, 1 ] ] ), rec(
          D0toD := [ [ 4, -9, 6, 6, 6, 12, 12, 12, 6, 6 ], [ -1, 4, -2, -2, -2, -4, -4, -4, -2, -2 ], [ -2, 6, -3, -4, -4, -8, -8, -8, -4, -4 ], 
              [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -6, 4, 4, 5, 8, 8, 8, 4, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -2, 6, -4, -4, -4, -8, -8, -7, -4, -4 ], 
              [ 2, -6, 4, 4, 4, 8, 8, 8, 5, 4 ], [ -2, 6, -4, -4, -4, -8, -8, -8, -4, -3 ] ],
          DtoD0 := [ [ 4, -9, 6, 6, 6, 12, 12, 12, 6, 6 ], [ -1, 4, -2, -2, -2, -4, -4, -4, -2, -2 ], [ -2, 6, -3, -4, -4, -8, -8, -8, -4, -4 ], 
              [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -6, 4, 4, 5, 8, 8, 8, 4, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ -2, 6, -4, -4, -4, -8, -8, -7, -4, -4 ], 
              [ 2, -6, 4, 4, 4, 8, 8, 8, 5, 4 ], [ -2, 6, -4, -4, -4, -8, -8, -8, -4, -3 ] ],
          ampleD := [ 6, -12, 6, 4, 2, 7, 9, 9, 2, 5 ],
          autYD := [ rec(
                  gX := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  gY := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec(
                  gX := [ [ 13, -20, 14, 12, 20, 48, 52, 52, 24, 28, -10, -24, -26, -26, -12, -14 ], [ -8, 13, -8, -6, -8, -24, -28, -28, -12, -16, 4, 12, 14, 14, 6, 8 ], 
                      [ -12, 18, -13, -10, -16, -40, -44, -44, -20, -24, 8, 20, 22, 22, 10, 12 ], [ 0, 0, 0, -1, 0, -2, -2, -2, -2, 0, 0, 1, 1, 1, 1, 0 ], 
                      [ 6, -9, 6, 5, 7, 19, 21, 21, 9, 12, -3, -9, -10, -10, -4, -6 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
                      [ -1, 1, -1, -1, -2, -4, -5, -4, -2, -2, 1, 2, 3, 2, 1, 1 ], [ -4, 7, -4, -3, -4, -12, -14, -15, -7, -9, 2, 6, 7, 8, 4, 5 ], 
                      [ 5, -8, 5, 4, 6, 17, 19, 19, 9, 11, -3, -9, -10, -10, -5, -6 ], [ -5, 8, -5, -4, -6, -17, -19, -19, -8, -10, 3, 9, 10, 10, 4, 5 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ] ],
                  gY := [ [ 13, -20, 14, 12, 10, 24, 26, 26, 12, 14 ], [ -8, 13, -8, -6, -4, -12, -14, -14, -6, -8 ], [ -12, 18, -13, -10, -8, -20, -22, -22, -10, -12 ], 
                      [ 0, 0, 0, -1, 0, -1, -1, -1, -1, 0 ], [ 12, -18, 12, 10, 7, 19, 21, 21, 9, 12 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ -2, 2, -2, -2, -2, -4, -5, -4, -2, -2 ], 
                      [ -8, 14, -8, -6, -4, -12, -14, -15, -7, -9 ], [ 10, -16, 10, 8, 6, 17, 19, 19, 9, 11 ], [ -10, 16, -10, -8, -6, -17, -19, -19, -8, -10 ] ] ), rec(
                  gX := [ [ 27, -60, 26, 16, 12, 56, 76, 76, 8, 44, -6, -28, -38, -38, -4, -22 ], [ -12, 27, -12, -8, -8, -28, -36, -36, -4, -20, 4, 14, 18, 18, 2, 10 ], 
                      [ -20, 46, -19, -12, -8, -40, -56, -56, -4, -32, 4, 20, 28, 28, 2, 16 ], [ -2, 4, -2, -1, 0, -2, -2, -2, 2, -2, 0, 1, 1, 1, -1, 1 ], 
                      [ 9, -21, 9, 6, 5, 21, 27, 27, 3, 15, -2, -10, -13, -13, -1, -7 ], [ 1, -2, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, -1, -1, 0, -1 ], 
                      [ -2, 5, -3, -2, -4, -8, -9, -8, -2, -4, 2, 4, 5, 4, 1, 2 ], [ -8, 17, -7, -4, -2, -14, -20, -21, -1, -12, 1, 7, 10, 11, 1, 6 ], 
                      [ 12, -26, 12, 8, 8, 28, 36, 36, 5, 20, -4, -14, -18, -18, -3, -10 ], [ -9, 20, -9, -6, -6, -21, -27, -27, -4, -16, 3, 10, 13, 13, 2, 8 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0 ] ],
                  gY := [ [ 27, -60, 26, 16, 6, 28, 38, 38, 4, 22 ], [ -12, 27, -12, -8, -4, -14, -18, -18, -2, -10 ], [ -20, 46, -19, -12, -4, -20, -28, -28, -2, -16 ], 
                      [ -2, 4, -2, -1, 0, -1, -1, -1, 1, -1 ], [ 18, -42, 18, 12, 5, 21, 27, 27, 3, 15 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ -4, 10, -6, -4, -4, -8, -9, -8, -2, -4 ], 
                      [ -16, 34, -14, -8, -2, -14, -20, -21, -1, -12 ], [ 24, -52, 24, 16, 8, 28, 36, 36, 5, 20 ], [ -18, 40, -18, -12, -6, -21, -27, -27, -4, -16 ] ] ), rec(
                  gX := [ [ 31, -64, 32, 20, 16, 64, 88, 88, 16, 48, -8, -32, -44, -44, -8, -24 ], [ -16, 31, -16, -10, -8, -32, -44, -44, -8, -24, 4, 16, 22, 22, 4, 12 ], 
                      [ -28, 56, -29, -18, -16, -60, -80, -80, -16, -44, 8, 30, 40, 40, 8, 22 ], [ -4, 8, -4, -3, -4, -10, -14, -14, -4, -8, 2, 5, 7, 7, 2, 4 ], 
                      [ 12, -24, 12, 7, 5, 23, 33, 33, 6, 18, -2, -11, -16, -16, -3, -9 ], [ 2, -4, 2, 2, 2, 6, 7, 7, 2, 4, -1, -3, -4, -4, -1, -2 ], 
                      [ -3, 6, -2, -1, 2, -2, -5, -6, 0, -4, -1, 1, 3, 3, 0, 2 ], [ -9, 18, -10, -7, -8, -23, -29, -28, -6, -14, 4, 11, 14, 14, 3, 7 ], 
                      [ 13, -26, 13, 8, 6, 25, 35, 35, 5, 19, -3, -12, -17, -17, -2, -9 ], [ -10, 20, -10, -6, -4, -18, -26, -26, -4, -15, 2, 9, 13, 13, 2, 7 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ],
                  gY := [ [ 31, -64, 32, 20, 8, 32, 44, 44, 8, 24 ], [ -16, 31, -16, -10, -4, -16, -22, -22, -4, -12 ], [ -28, 56, -29, -18, -8, -30, -40, -40, -8, -22 ], 
                      [ -4, 8, -4, -3, -2, -5, -7, -7, -2, -4 ], [ 24, -48, 24, 14, 5, 23, 33, 33, 6, 18 ], [ 4, -8, 4, 4, 2, 6, 7, 7, 2, 4 ], [ -6, 12, -4, -2, 2, -2, -5, -6, 0, -4 ], 
                      [ -18, 36, -20, -14, -8, -23, -29, -28, -6, -14 ], [ 26, -52, 26, 16, 6, 25, 35, 35, 5, 19 ], [ -20, 40, -20, -12, -4, -18, -26, -26, -4, -15 ] ] ) ],
          no := 1,
          orbitrecs := [ rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                          gY := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ -1, 3, -2, -2, -2, -4, -4, -4, -2, -2 ], [ 3, -5, 4, 4, 4, 8, 8, 8, 4, 4 ], [ 5, -11, 4, 2, 0, 4, 6, 6, 0, 4 ], [ 5, -11, 6, 4, 2, 6, 8, 8, 2, 4 ] ],
                  orbitnumber := 1,
                  reflection := [ [ 4, -9, 6, 6, 6, 12, 12, 12, 6, 6 ], [ -1, 4, -2, -2, -2, -4, -4, -4, -2, -2 ], [ -2, 6, -3, -4, -4, -8, -8, -8, -4, -4 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -6, 4, 4, 5, 8, 8, 8, 4, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -2, 6, -4, -4, -4, -8, -8, -7, -4, -4 ], [ 2, -6, 4, 4, 4, 8, 8, 8, 5, 4 ], [ -2, 6, -4, -4, -4, -8, -8, -8, -4, -3 ] ],
                  representative := [ -1, 3, -2, -2, -2, -4, -4, -4, -2, -2 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 7, -12, 6, 4, 4, 16, 20, 24, 8, 12, -2, -8, -10, -12, -4, -6 ], [ -4, 7, -2, 0, 4, 0, -4, -8, 0, -4, -2, 0, 2, 4, 0, 2 ], 
                              [ -6, 10, -5, -2, -2, -10, -14, -18, -4, -8, 1, 5, 7, 9, 2, 4 ], [ 0, 0, 0, -1, -2, -4, -2, -2, 0, 0, 1, 2, 1, 1, 0, 0 ], 
                              [ 3, -5, 2, 1, 0, 4, 7, 9, 2, 4, 0, -2, -3, -4, -1, -2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 5, -2, -1, 1, -3, -5, -7, -1, -4, 0, 2, 3, 4, 1, 2 ], 
                              [ 3, -5, 2, 1, -1, 3, 5, 8, 2, 4, 0, -2, -3, -4, -1, -2 ], [ -2, 4, -1, 0, 2, 0, -2, -5, -1, -3, -1, 0, 1, 2, 0, 1 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1 ] ],
                          gY := [ [ 7, -12, 6, 4, 2, 8, 10, 12, 4, 6 ], [ -4, 7, -2, 0, 2, 0, -2, -4, 0, -2 ], [ -6, 10, -5, -2, -1, -5, -7, -9, -2, -4 ], 
                              [ 0, 0, 0, -1, -1, -2, -1, -1, 0, 0 ], [ 6, -10, 4, 2, 0, 4, 7, 9, 2, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, -1, -1, -1, 0 ], 
                              [ -6, 10, -4, -2, 1, -3, -5, -7, -1, -4 ], [ 6, -10, 4, 2, -1, 3, 5, 8, 2, 4 ], [ -4, 8, -2, 0, 2, 0, -2, -5, -1, -3 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ 0, 0, -2, -2, -3, -4, -3, -2, -1, 0 ], [ 0, 0, 2, 2, 3, 4, 3, 2, 2, 1 ], [ 2, -4, 2, 2, 1, 3, 4, 3, 0, 1 ], [ 4, -8, 4, 2, 1, 4, 5, 6, 1, 3 ] ],
                  orbitnumber := 2,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, -2, -3, -4, -3, -2, -1, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 2, 2, 3, 4, 3, 2, 1, 1 ] ],
                  representative := [ 0, 0, -2, -2, -3, -4, -3, -2, -1, 0 ] ), rec(
                  innout := [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ],
                  isnew := "null",
                  orbit := [ [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 2, -6, 4, 4, 4, 8, 8, 7, 3, 3 ], [ 2, -4, 0, -2, -4, -4, -2, -1, -2, 0 ], [ 2, -2, 2, 2, 2, 4, 4, 3, 1, 2 ] ],
                  orbitnumber := 3,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ] ), rec(
                  innout := [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0 ],
                  isnew := "null",
                  orbit := [ [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ 4, -8, 4, 4, 2, 6, 7, 7, 2, 4 ] ],
                  orbitnumber := 4,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ], [ 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, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ] ],
                  representative := [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 7, -12, 8, 8, 12, 28, 28, 28, 12, 16, -6, -14, -14, -14, -6, -8 ], [ -4, 7, -4, -4, -4, -12, -12, -12, -4, -8, 2, 6, 6, 6, 2, 4 ], 
                              [ -6, 10, -7, -6, -8, -20, -20, -20, -8, -12, 4, 10, 10, 10, 4, 6 ], [ -2, 2, -2, -3, -4, -8, -8, -8, -4, -4, 2, 4, 4, 4, 2, 2 ], 
                              [ 3, -5, 3, 3, 3, 10, 10, 10, 4, 6, -1, -5, -5, -5, -2, -3 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 4, -2, -2, -2, -6, -7, -7, -3, -5, 1, 3, 4, 4, 2, 3 ], 
                              [ 3, -5, 3, 3, 4, 10, 10, 10, 4, 7, -2, -5, -5, -5, -2, -4 ], [ -3, 5, -3, -3, -4, -10, -10, -10, -3, -6, 2, 5, 5, 5, 1, 3 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
                          gY := [ [ 7, -12, 8, 8, 6, 14, 14, 14, 6, 8 ], [ -4, 7, -4, -4, -2, -6, -6, -6, -2, -4 ], [ -6, 10, -7, -6, -4, -10, -10, -10, -4, -6 ], 
                              [ -2, 2, -2, -3, -2, -4, -4, -4, -2, -2 ], [ 6, -10, 6, 6, 3, 10, 10, 10, 4, 6 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                              [ -4, 8, -4, -4, -2, -6, -7, -7, -3, -5 ], [ 6, -10, 6, 6, 4, 10, 10, 10, 4, 7 ], [ -6, 10, -6, -6, -4, -10, -10, -10, -3, -6 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ 0, 0, 1, 3, 3, 5, 4, 3, 2, 1 ], [ 2, -2, 1, -1, -1, -1, 0, 1, 0, 1 ], [ 4, -10, 3, 1, -1, 1, 4, 5, 0, 3 ], [ 6, -12, 7, 5, 3, 9, 10, 9, 2, 5 ] ],
                  orbitnumber := 5,
                  reflection := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 3, 3, 5, 4, 3, 2, 1 ], 
                      [ 0, 0, -1, -2, -3, -5, -4, -3, -2, -1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 0, 0, 1, 3, 3, 5, 4, 3, 2, 1 ] ), rec(
                  innout := [ 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ],
                  isnew := "null",
                  orbit := [ [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ 2, -2, 2, 2, 1, 3, 3, 3, 1, 1 ], [ 4, -8, 4, 2, 1, 4, 6, 6, 2, 4 ] ],
                  orbitnumber := 6,
                  reflection := [ [ 1, -4, 0, 0, -2, -2, -2, -2, -2, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 2, 1, 0, 1, 1, 1, 1, 1, 0 ], 
                      [ 0, 2, 0, 1, 1, 1, 1, 1, 1, 0 ], [ 0, -2, 0, 0, 0, -1, -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, 0, 1, 0, 0 ],
                      [ 0, -2, 0, 0, -1, -1, -1, -1, 0, 0 ], [ 0, 2, 0, 0, 1, 1, 1, 1, 1, 1 ] ],
                  representative := [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 17, -36, 16, 8, 8, 40, 56, 48, 12, 32, -4, -20, -28, -24, -6, -16 ], [ -12, 25, -10, -4, 0, -20, -32, -28, -4, -20, 0, 10, 16, 14, 2, 10 ], 
                              [ -16, 32, -13, -6, -2, -30, -46, -40, -8, -28, 1, 15, 23, 20, 4, 14 ], [ -2, 4, -2, -1, -2, -6, -6, -4, 0, -4, 1, 3, 3, 2, 0, 2 ], 
                              [ 8, -16, 7, 3, 2, 15, 23, 20, 4, 14, -1, -7, -11, -10, -2, -7 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], 
                              [ -2, 4, -2, -1, -1, -5, -6, -6, -2, -4, 1, 3, 3, 3, 1, 2 ], [ -5, 11, -4, -1, 1, -7, -13, -11, -1, -8, -1, 3, 6, 5, 0, 4 ], 
                              [ 10, -22, 9, 4, 2, 20, 30, 26, 5, 18, -1, -10, -15, -13, -2, -9 ], [ -7, 15, -7, -4, -4, -18, -24, -20, -5, -13, 2, 9, 12, 10, 2, 6 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ] ],
                          gY := [ [ 17, -36, 16, 8, 4, 20, 28, 24, 6, 16 ], [ -12, 25, -10, -4, 0, -10, -16, -14, -2, -10 ], [ -16, 32, -13, -6, -1, -15, -23, -20, -4, -14 ], 
                              [ -2, 4, -2, -1, -1, -3, -3, -2, 0, -2 ], [ 16, -32, 14, 6, 2, 15, 23, 20, 4, 14 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -4, 8, -4, -2, -1, -5, -6, -6, -2, -4 ], 
                              [ -10, 22, -8, -2, 1, -7, -13, -11, -1, -8 ], [ 20, -44, 18, 8, 2, 20, 30, 26, 5, 18 ], [ -14, 30, -14, -8, -4, -18, -24, -20, -5, -13 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ 1, -3, 1, 0, 0, 1, 2, 1, 0, 1 ], [ 3, -7, 3, 2, 0, 3, 4, 5, 2, 3 ], [ 3, -5, 1, 0, -2, -1, 0, 1, -2, 1 ], [ 5, -9, 7, 6, 6, 11, 12, 11, 4, 5 ] ],
                  orbitnumber := 7,
                  reflection := [ [ 4, -9, 3, 0, 0, 3, 6, 3, 0, 3 ], [ -1, 4, -1, 0, 0, -1, -2, -1, 0, -1 ], [ -2, 6, -1, 0, 0, -2, -4, -2, 0, -2 ], 
                      [ 1, -3, 1, 1, 0, 1, 2, 1, 0, 1 ], [ 2, -6, 2, 0, 1, 2, 4, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 6, -2, 0, 0, -2, -3, -2, 0, -2 ], 
                      [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 2, -6, 2, 0, 0, 2, 4, 2, 1, 2 ], [ -2, 6, -2, 0, 0, -2, -4, -2, 0, -1 ] ],
                  representative := [ 1, -3, 1, 0, 0, 1, 2, 1, 0, 1 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 17, -36, 24, 16, 28, 60, 64, 64, 16, 24, -14, -30, -32, -32, -8, -12 ], [ -12, 25, -16, -10, -16, -36, -40, -40, -8, -16, 8, 18, 20, 20, 4, 8 ], 
                              [ -20, 42, -27, -18, -30, -66, -72, -72, -16, -28, 15, 33, 36, 36, 8, 14 ], [ -6, 14, -8, -5, -6, -18, -20, -20, -4, -8, 3, 9, 10, 10, 2, 4 ], 
                              [ 7, -15, 10, 7, 12, 25, 26, 26, 6, 10, -6, -12, -13, -13, -3, -5 ], [ 3, -7, 4, 2, 3, 8, 10, 10, 2, 4, -1, -4, -5, -5, -1, -2 ], 
                              [ -3, 7, -4, -2, -3, -7, -9, -10, -2, -4, 1, 3, 4, 5, 1, 2 ], [ -4, 8, -6, -4, -8, -16, -16, -15, -4, -6, 4, 8, 8, 7, 2, 3 ], 
                              [ 8, -16, 11, 7, 12, 26, 28, 28, 7, 11, -6, -13, -14, -14, -4, -6 ], [ -6, 12, -8, -5, -8, -18, -20, -20, -4, -7, 4, 9, 10, 10, 2, 4 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                          gY := [ [ 17, -36, 24, 16, 14, 30, 32, 32, 8, 12 ], [ -12, 25, -16, -10, -8, -18, -20, -20, -4, -8 ], [ -20, 42, -27, -18, -15, -33, -36, -36, -8, -14 ], 
                              [ -6, 14, -8, -5, -3, -9, -10, -10, -2, -4 ], [ 14, -30, 20, 14, 12, 25, 26, 26, 6, 10 ], [ 6, -14, 8, 4, 3, 8, 10, 10, 2, 4 ], 
                              [ -6, 14, -8, -4, -3, -7, -9, -10, -2, -4 ], [ -8, 16, -12, -8, -8, -16, -16, -15, -4, -6 ], [ 16, -32, 22, 14, 12, 26, 28, 28, 7, 11 ], 
                              [ -12, 24, -16, -10, -8, -18, -20, -20, -4, -7 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ 1, -3, 2, 1, 1, 2, 2, 2, 0, 0 ], [ 3, -7, 4, 3, 3, 6, 6, 6, 2, 4 ], [ 3, -5, 2, 1, -1, 0, 2, 2, 0, 2 ], [ 5, -9, 4, 3, 1, 6, 8, 8, 2, 4 ] ],
                  orbitnumber := 8,
                  reflection := [ [ 4, -9, 6, 3, 3, 6, 6, 6, 0, 0 ], [ -1, 4, -2, -1, -1, -2, -2, -2, 0, 0 ], [ -3, 9, -5, -3, -3, -6, -6, -6, 0, 0 ], 
                      [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 2, -6, 4, 2, 3, 4, 4, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -2, 6, -4, -2, -2, -4, -4, -3, 0, 0 ], [ 2, -6, 4, 2, 2, 4, 4, 4, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
                  representative := [ 1, -3, 2, 1, 1, 2, 2, 2, 0, 0 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 7, -20, 6, 0, -4, 0, 12, 16, 0, 12, 2, 0, -6, -8, 0, -6 ], [ -4, 11, -2, 2, 8, 8, 0, -4, 4, -4, -4, -4, 0, 2, -2, 2 ], 
                              [ -6, 16, -3, 2, 10, 10, -2, -8, 4, -8, -5, -5, 1, 4, -2, 4 ], [ 0, 2, 0, 1, 2, 4, 4, 2, 2, 0, -1, -2, -2, -1, -1, 0 ], 
                              [ 3, -8, 2, -1, -4, -4, 2, 5, -1, 4, 2, 2, -1, -2, 1, -2 ], [ 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 8, -2, 1, 4, 3, -2, -4, 2, -4, -2, -2, 1, 2, -1, 2 ], 
                              [ 3, -9, 2, -1, -4, -3, 3, 5, -2, 4, 2, 2, -1, -2, 1, -2 ], [ -1, 3, -1, 0, 0, 0, -2, -2, 1, -1, 0, 0, 1, 1, 0, 1 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ],
                          gY := [ [ 7, -20, 6, 0, -2, 0, 6, 8, 0, 6 ], [ -4, 11, -2, 2, 4, 4, 0, -2, 2, -2 ], [ -6, 16, -3, 2, 5, 5, -1, -4, 2, -4 ], 
                              [ 0, 2, 0, 1, 1, 2, 2, 1, 1, 0 ], [ 6, -16, 4, -2, -4, -4, 2, 5, -1, 4 ], [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 2, 0, 0, 1, 1, 0, 0, 0, 0 ], 
                              [ -6, 16, -4, 2, 4, 3, -2, -4, 2, -4 ], [ 6, -18, 4, -2, -4, -3, 3, 5, -2, 4 ], [ -2, 6, -2, 0, 0, 0, -2, -2, 1, -1 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ 1, -4, 1, -1, -1, -1, 0, 1, 0, 1 ], [ 3, -6, 3, 3, 1, 5, 6, 5, 2, 3 ], [ 3, -6, 5, 5, 5, 9, 8, 7, 2, 3 ], [ 5, -8, 3, 1, -1, 1, 4, 5, 0, 3 ] ],
                  orbitnumber := 9,
                  reflection := [ [ 5, -16, 4, -4, -4, -4, 0, 4, 0, 4 ], [ -1, 5, -1, 1, 1, 1, 0, -1, 0, -1 ], [ -3, 12, -2, 3, 3, 3, 0, -3, 0, -3 ], 
                      [ 1, -4, 1, 0, -1, -1, 0, 1, 0, 1 ], [ 2, -8, 2, -2, -1, -2, 0, 2, 0, 2 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -2, 8, -2, 2, 2, 2, 0, -1, 0, -2 ], [ 2, -8, 2, -2, -2, -2, 0, 2, 1, 2 ], [ -2, 8, -2, 2, 2, 2, 0, -2, 0, -1 ] ],
                  representative := [ 1, -4, 1, -1, -1, -1, 0, 1, 0, 1 ] ), rec(
                  innout := "inner",
                  isnew := rec(
                      by := rec(
                          gX := [ [ 15, -36, 10, 4, -12, 8, 24, 36, 0, 20, 6, -4, -12, -18, 0, -10 ], [ -12, 27, -8, -4, 8, -8, -20, -28, 0, -16, -4, 4, 10, 14, 0, 8 ], 
                              [ -18, 42, -13, -6, 10, -14, -32, -44, 0, -24, -5, 7, 16, 22, 0, 12 ], [ -2, 4, 0, 1, 6, 6, 4, 0, 4, 0, -3, -3, -2, 0, -2, 0 ], 
                              [ 9, -21, 6, 3, -6, 7, 16, 22, 0, 12, 3, -3, -8, -11, 0, -6 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
                              [ -4, 9, -3, -2, 1, -5, -9, -12, -2, -6, 0, 3, 5, 6, 1, 3 ], [ -2, 5, -1, 0, 3, 1, -1, -3, 1, -3, -2, -1, 0, 1, -1, 1 ], 
                              [ 7, -16, 4, 1, -8, 0, 8, 14, -1, 9, 4, 0, -4, -7, 1, -4 ], [ -5, 12, -3, -1, 6, 0, -6, -10, 1, -6, -3, 0, 3, 5, -1, 3 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], 
                              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
                          gY := [ [ 15, -36, 10, 4, -6, 4, 12, 18, 0, 10 ], [ -12, 27, -8, -4, 4, -4, -10, -14, 0, -8 ], [ -18, 42, -13, -6, 5, -7, -16, -22, 0, -12 ], 
                              [ -2, 4, 0, 1, 3, 3, 2, 0, 2, 0 ], [ 18, -42, 12, 6, -6, 7, 16, 22, 0, 12 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ -8, 18, -6, -4, 1, -5, -9, -12, -2, -6 ], 
                              [ -4, 10, -2, 0, 3, 1, -1, -3, 1, -3 ], [ 14, -32, 8, 2, -8, 0, 8, 14, -1, 9 ], [ -10, 24, -6, -2, 6, 0, -6, -10, 1, -6 ] ] ),
                      flag := false,
                      isomwith := 0 ),
                  orbit := [ [ 2, -5, 1, 1, -1, 1, 2, 3, 0, 1 ], [ 2, -5, 3, 3, 3, 5, 6, 5, 2, 3 ], [ 4, -7, 3, 1, -1, 1, 2, 3, 0, 3 ], [ 4, -7, 5, 3, 3, 7, 8, 7, 2, 3 ] ],
                  orbitnumber := 10,
                  reflection := [ [ 11, -25, 5, 5, -5, 5, 10, 15, 0, 5 ], [ -4, 11, -2, -2, 2, -2, -4, -6, 0, -2 ], [ -6, 15, -2, -3, 3, -3, -6, -9, 0, -3 ], 
                      [ -2, 5, -1, 0, 1, -1, -2, -3, 0, -1 ], [ 8, -20, 4, 4, -3, 4, 8, 12, 0, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
                      [ -8, 20, -4, -4, 4, -4, -8, -11, 0, -4 ], [ 8, -20, 4, 4, -4, 4, 8, 12, 1, 4 ], [ -4, 10, -2, -2, 2, -2, -4, -6, 0, -1 ] ],
                  representative := [ 2, -5, 1, 1, -1, 1, 2, 3, 0, 1 ] ) ],
          walls := [ [ 3, -5, 4, 4, 4, 8, 8, 8, 4, 4 ], [ 0, 0, 2, 2, 3, 4, 3, 2, 2, 1 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
              [ 2, -6, 4, 4, 4, 8, 8, 7, 3, 3 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 3, 3, 5, 4, 3, 2, 1 ], [ 0, 0, -2, -2, -3, -4, -3, -2, -1, 0 ], 
              [ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ 3, -7, 3, 2, 0, 3, 4, 5, 2, 3 ], [ 3, -7, 4, 3, 3, 6, 6, 6, 2, 4 ], 
              [ 1, -4, 1, -1, -1, -1, 0, 1, 0, 1 ], [ 2, -2, 2, 2, 1, 3, 3, 3, 1, 1 ], [ 4, -8, 4, 2, 1, 4, 5, 6, 1, 3 ], [ 4, -8, 4, 2, 1, 4, 6, 6, 2, 4 ], [ 2, -2, 1, -1, -1, -1, 0, 1, 0, 1 ], 
              [ 4, -8, 4, 4, 2, 6, 7, 7, 2, 4 ], [ 2, -2, 2, 2, 2, 4, 4, 3, 1, 2 ], [ 2, -5, 3, 3, 3, 5, 6, 5, 2, 3 ], [ 2, -5, 1, 1, -1, 1, 2, 3, 0, 1 ], 
              [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 5, -9, 7, 6, 6, 11, 12, 11, 4, 5 ], [ 5, -9, 4, 3, 1, 6, 8, 8, 2, 4 ], [ 3, -6, 5, 5, 5, 9, 8, 7, 2, 3 ], [ 3, -6, 3, 3, 1, 5, 6, 5, 2, 3 ],
              [ 1, -3, 2, 1, 1, 2, 2, 2, 0, 0 ], [ -1, 3, -2, -2, -2, -4, -4, -4, -2, -2 ], [ 1, -3, 1, 0, 0, 1, 2, 1, 0, 1 ], [ 4, -7, 3, 1, -1, 1, 2, 3, 0, 3 ], 
              [ 4, -7, 5, 3, 3, 7, 8, 7, 2, 3 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ 2, -4, 0, -2, -4, -4, -2, -1, -2, 0 ], [ 4, -10, 3, 1, -1, 1, 4, 5, 0, 3 ], 
              [ 2, -4, 2, 2, 1, 3, 4, 3, 0, 1 ], [ 5, -8, 3, 1, -1, 1, 4, 5, 0, 3 ], [ 5, -11, 6, 4, 2, 6, 8, 8, 2, 4 ], [ 3, -5, 2, 1, -1, 0, 2, 2, 0, 2 ], 
              [ 3, -5, 1, 0, -2, -1, 0, 1, -2, 1 ], [ 5, -11, 4, 2, 0, 4, 6, 6, 0, 4 ], [ 6, -12, 7, 5, 3, 9, 10, 9, 2, 5 ] ] ) ],
  GramL26 := [ [ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, -1, 0, 0, 0 ], [ -2, -2, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, -1, 1, 0, -1, 0, 0 ], 
      [ -1, -1, -6, 0, 2, -1, 1, -1, 1, -1, -1, -2, 2, -2, 2, -2, -1, 1, -1, 0, 0, 1, -1, -1, 0, 0 ], [ -1, -1, 0, -6, -3, 1, -1, 1, -1, 0, -1, 1, -2, 2, -2, 0, -1, 1, 0, -1, 0, 1, -1, -1, -1, 0 ]
        , [ 0, 0, 2, -3, -4, 1, -1, 1, -1, 0, -1, 1, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, -1, 1, 1, -2, 1, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
      [ 0, 0, 1, -1, -1, 1, -2, 1, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 1, 1, 0, 1, -2, 1, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
      [ 0, 0, 1, -1, -1, 0, 0, 1, -2, 1, 0, 0, 0, 1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -1, 0, 0, 0, 0, 0, 1, -2, -1, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
      [ 0, 0, -1, -1, -1, 0, 0, 0, 0, -1, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, -2, 1, 1, -2, 1, 0, 0, 0, 0, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
      [ 0, 0, 2, -2, -2, 1, -2, 1, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -2, 2, 2, 0, 1, -2, 1, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
      [ 0, 0, 2, -2, -2, 0, 0, 1, -2, 1, 0, 0, 0, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, -2, 0, 0, 0, 0, 0, 1, -2, -2, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
      [ 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, 0, 0, 0, 0, 0, 0 ], 
      [ -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0 ], [ -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0 ], 
      [ -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, 1, 0, 0 ], 
      [ -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0 ], [ 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0 ], 
      [ 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -4 ] ],
  GramP := [ [ -8, -9, -8, -9, -2, -2, -2, -4, -2, -4, -8, 0, -2, -4, 2, 0 ], [ -9, -88, -82, -93, 6, -6, 0, -8, 0, -6, -4, -4, 2, -4, 2, -7 ], 
      [ -8, -82, -102, -92, -4, -14, -10, -26, -10, -26, -37, -4, 2, 0, 0, -6 ], [ -9, -93, -92, -108, 4, -8, -2, -12, -2, -10, -9, -6, 6, 0, 0, -7 ], 
      [ -2, 6, -4, 4, -8, -2, -6, -8, -6, -10, -16, 0, 0, 0, 0, 0 ], [ -2, -6, -14, -8, -2, -6, -2, -8, -4, -8, -13, 0, 0, 0, 0, 0 ], 
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  No := 1,
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          [ -10, 13, -4, 2, 8, 7, 1, 1, 7, 0 ], [ -3, 4, 0, 2, 4, 4, 2, 1, 3, 0 ], [ 8, -10, 4, 0, -4, -2, 2, 1, -5, 0 ], [ 2, -4, 0, -2, -4, -4, -2, -1, -2, 0 ], 
          [ -2, 4, 0, 2, 4, 4, 2, 2, 3, 1 ], [ -6, 8, -4, -2, 1, -2, -5, -4, 1, -2 ], [ 10, -14, 4, 0, -7, -4, 2, 1, -6, 1 ], [ -6, 8, -2, 0, 5, 3, 0, 0, 4, 0 ] ], 
      [ [ 10, -14, 6, 1, -3, 0, 4, 2, -6, 2 ], [ -6, 8, -3, 0, 2, 1, -2, -1, 4, -1 ], [ -10, 13, -4, 2, 6, 5, 0, 1, 8, -1 ], [ -3, 4, -2, 0, 1, 1, -1, -1, 1, -1 ], 
          [ 8, -10, 4, 0, -3, -1, 3, 1, -5, 1 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ -2, 4, -2, 0, 0, 0, -1, 0, 2, 0 ], [ -6, 8, -4, -2, 0, -3, -5, -4, 2, -2 ], 
          [ 10, -14, 6, 2, -2, 1, 5, 3, -6, 2 ], [ -6, 8, -4, -2, 0, -2, -4, -2, 3, -2 ] ], [ [ 7, -12, 7, 4, 2, 7, 8, 5, -2, 3 ], [ -3, 6, -4, -3, -3, -6, -6, -4, 0, -2 ], 
          [ -5, 9, -7, -5, -5, -10, -9, -6, 0, -3 ], [ -1, 2, -2, -2, -2, -4, -4, -3, -2, -2 ], [ 4, -8, 6, 4, 4, 8, 8, 5, 0, 2 ], [ 2, -2, 2, 2, 2, 4, 4, 3, 1, 2 ], 
          [ -2, 2, -2, -2, -2, -4, -4, -2, 0, -1 ], [ -4, 8, -4, -2, -1, -4, -5, -4, 1, -2 ], [ 6, -12, 6, 4, 2, 7, 8, 5, -2, 3 ], [ -4, 8, -4, -2, -1, -3, -4, -2, 2, -2 ] ], 
      [ [ 7, -12, 6, 3, -1, 4, 6, 4, -2, 2 ], [ -3, 6, -3, -2, 0, -3, -4, -3, 0, -1 ], [ -5, 9, -5, -3, 0, -5, -6, -4, 0, -2 ], [ -1, 2, -2, -2, -2, -4, -3, -3, -1, -1 ], 
          [ 4, -8, 4, 2, 0, 4, 5, 3, -1, 1 ], [ 2, -2, 2, 2, 1, 3, 3, 3, 1, 1 ], [ -2, 2, -2, -2, -1, -3, -3, -2, 0, 0 ], [ -4, 8, -4, -2, 0, -3, -5, -4, 0, -2 ], 
          [ 6, -12, 6, 4, 0, 5, 7, 5, -1, 2 ], [ -4, 8, -2, 0, 4, 2, 0, 0, 3, 0 ] ] ],
  ampleY := [ 4, -6, 2, 0, -2, -1, 1, 1, -2, 1 ],
  autYgenerators := [ rec(
          gX := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
          gY := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ] ), rec(
          gX := [ [ 5, -8, 4, 2, 0, 8, 12, 12, 4, 8, 0, -4, -6, -6, -2, -4 ], [ -4, 5, -2, 0, 4, 0, -4, -4, 0, -4, -2, 0, 2, 2, 0, 2 ], 
              [ -6, 8, -5, -2, 0, -8, -12, -12, -4, -8, 0, 4, 6, 6, 2, 4 ], [ 0, 0, 0, -1, 0, -2, -2, -2, -2, 0, 0, 1, 1, 1, 1, 0 ], [ 3, -4, 2, 1, -1, 3, 5, 5, 1, 4, 1, -1, -2, -2, 0, -2 ], 
              [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0 ], [ -1, 1, -1, -1, -2, -4, -5, -4, -2, -2, 1, 2, 3, 2, 1, 1 ], [ -1, 2, 0, 1, 4, 4, 2, 1, 1, -1, -2, -2, -1, 0, 0, 1 ], 
              [ 2, -3, 1, 0, -2, 1, 3, 3, 1, 3, 1, -1, -2, -2, -1, -2 ], [ -2, 3, -1, 0, 2, -1, -3, -3, 0, -2, -1, 1, 2, 2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ] ],
          gY := [ [ 5, -8, 4, 2, 0, 4, 6, 6, 2, 4 ], [ -4, 5, -2, 0, 2, 0, -2, -2, 0, -2 ], [ -6, 8, -5, -2, 0, -4, -6, -6, -2, -4 ], 
              [ 0, 0, 0, -1, 0, -1, -1, -1, -1, 0 ], [ 6, -8, 4, 2, -1, 3, 5, 5, 1, 4 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ -2, 2, -2, -2, -2, -4, -5, -4, -2, -2 ], 
              [ -2, 4, 0, 2, 4, 4, 2, 1, 1, -1 ], [ 4, -6, 2, 0, -2, 1, 3, 3, 1, 3 ], [ -4, 6, -2, 0, 2, -1, -3, -3, 0, -2 ] ] ), rec(
          gX := [ [ 7, -20, -6, -18, -52, -72, -48, -32, -36, -12, 26, 36, 24, 16, 18, 6 ], [ -4, 11, 2, 8, 24, 32, 20, 12, 16, 4, -12, -16, -10, -6, -8, -2 ], 
              [ -6, 16, 5, 14, 42, 58, 38, 24, 28, 8, -21, -29, -19, -12, -14, -4 ], [ 0, 2, 0, 1, 2, 4, 4, 2, 2, 0, -1, -2, -2, -1, -1, 0 ], 
              [ 3, -8, -2, -7, -20, -28, -18, -11, -13, -4, 10, 14, 9, 6, 7, 2 ], [ 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], 
              [ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 8, 2, 7, 20, 27, 18, 12, 14, 4, -10, -14, -9, -6, -7, -2 ], 
              [ 3, -9, -2, -7, -20, -27, -17, -11, -14, -4, 10, 14, 9, 6, 7, 2 ], [ -2, 6, 1, 4, 12, 16, 10, 6, 9, 3, -6, -8, -5, -3, -4, -1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ],
          gY := [ [ 7, -20, -6, -18, -26, -36, -24, -16, -18, -6 ], [ -4, 11, 2, 8, 12, 16, 10, 6, 8, 2 ], [ -6, 16, 5, 14, 21, 29, 19, 12, 14, 4 ], 
              [ 0, 2, 0, 1, 1, 2, 2, 1, 1, 0 ], [ 6, -16, -4, -14, -20, -28, -18, -11, -13, -4 ], [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 2, 0, 0, 1, 1, 0, 0, 0, 0 ], 
              [ -6, 16, 4, 14, 20, 27, 18, 12, 14, 4 ], [ 6, -18, -4, -14, -20, -27, -17, -11, -14, -4 ], [ -4, 12, 2, 8, 12, 16, 10, 6, 9, 3 ] ] ), rec(
          gX := [ [ 7, -20, 6, 0, -4, 0, 12, 16, 0, 12, 2, 0, -6, -8, 0, -6 ], [ -4, 11, -2, 2, 8, 8, 0, -4, 4, -4, -4, -4, 0, 2, -2, 2 ], 
              [ -6, 16, -3, 2, 10, 10, -2, -8, 4, -8, -5, -5, 1, 4, -2, 4 ], [ 0, 2, 0, 1, 2, 4, 4, 2, 2, 0, -1, -2, -2, -1, -1, 0 ], [ 3, -8, 2, -1, -4, -4, 2, 5, -1, 4, 2, 2, -1, -2, 1, -2 ], 
              [ 0, -1, 0, 0, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 8, -2, 1, 4, 3, -2, -4, 2, -4, -2, -2, 1, 2, -1, 2 ], 
              [ 3, -9, 2, -1, -4, -3, 3, 5, -2, 4, 2, 2, -1, -2, 1, -2 ], [ -1, 3, -1, 0, 0, 0, -2, -2, 1, -1, 0, 0, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ] ],
          gY := [ [ 7, -20, 6, 0, -2, 0, 6, 8, 0, 6 ], [ -4, 11, -2, 2, 4, 4, 0, -2, 2, -2 ], [ -6, 16, -3, 2, 5, 5, -1, -4, 2, -4 ], 
              [ 0, 2, 0, 1, 1, 2, 2, 1, 1, 0 ], [ 6, -16, 4, -2, -4, -4, 2, 5, -1, 4 ], [ 0, -2, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 2, 0, 0, 1, 1, 0, 0, 0, 0 ], 
              [ -6, 16, -4, 2, 4, 3, -2, -4, 2, -4 ], [ 6, -18, 4, -2, -4, -3, 3, 5, -2, 4 ], [ -2, 6, -2, 0, 0, 0, -2, -2, 1, -1 ] ] ), rec(
          gX := [ [ 7, -12, 4, 0, -8, -8, 0, 0, -12, 0, 4, 4, 0, 0, 6, 0 ], [ -4, 7, -2, 0, 4, 4, 0, 0, 8, 0, -2, -2, 0, 0, -4, 0 ], 
              [ -6, 12, -3, 0, 8, 8, 0, 0, 12, 0, -4, -4, 0, 0, -6, 0 ], [ -2, 4, -2, -1, 0, -2, -2, -2, 2, -2, 0, 1, 1, 1, -1, 1 ], [ 2, -4, 1, 0, -3, -3, -1, -1, -5, -1, 2, 2, 1, 1, 3, 1 ], 
              [ 1, -2, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, -1, -1, 0, -1 ], [ -1, 2, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 1, 0, -1, 0 ], [ -2, 3, -1, 0, 2, 2, 0, -1, 3, 0, -1, -1, 0, 1, -1, 0 ], 
              [ 4, -6, 2, 0, -4, -4, 0, 0, -7, 0, 2, 2, 0, 0, 3, 0 ], [ -2, 3, -1, 0, 2, 3, 1, 1, 4, 0, -1, -2, -1, -1, -2, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0 ] ],
          gY := [ [ 7, -12, 4, 0, -4, -4, 0, 0, -6, 0 ], [ -4, 7, -2, 0, 2, 2, 0, 0, 4, 0 ], [ -6, 12, -3, 0, 4, 4, 0, 0, 6, 0 ], 
              [ -2, 4, -2, -1, 0, -1, -1, -1, 1, -1 ], [ 4, -8, 2, 0, -3, -3, -1, -1, -5, -1 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ -2, 4, -2, 0, 0, 0, -1, 0, 2, 0 ], 
              [ -4, 6, -2, 0, 2, 2, 0, -1, 3, 0 ], [ 8, -12, 4, 0, -4, -4, 0, 0, -7, 0 ], [ -4, 6, -2, 0, 2, 3, 1, 1, 4, 0 ] ] ), rec(
          gX := [ [ 7, -12, 6, 4, 4, 16, 20, 24, 8, 12, -2, -8, -10, -12, -4, -6 ], [ -4, 7, -2, 0, 4, 0, -4, -8, 0, -4, -2, 0, 2, 4, 0, 2 ], 
              [ -6, 10, -5, -2, -2, -10, -14, -18, -4, -8, 1, 5, 7, 9, 2, 4 ], [ 0, 0, 0, -1, -2, -4, -2, -2, 0, 0, 1, 2, 1, 1, 0, 0 ], [ 3, -5, 2, 1, 0, 4, 7, 9, 2, 4, 0, -2, -3, -4, -1, -2 ], 
              [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0 ], [ -3, 5, -2, -1, 1, -3, -5, -7, -1, -4, 0, 2, 3, 4, 1, 2 ], 
              [ 3, -5, 2, 1, -1, 3, 5, 8, 2, 4, 0, -2, -3, -4, -1, -2 ], [ -2, 4, -1, 0, 2, 0, -2, -5, -1, -3, -1, 0, 1, 2, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1 ] ],
          gY := [ [ 7, -12, 6, 4, 2, 8, 10, 12, 4, 6 ], [ -4, 7, -2, 0, 2, 0, -2, -4, 0, -2 ], [ -6, 10, -5, -2, -1, -5, -7, -9, -2, -4 ], 
              [ 0, 0, 0, -1, -1, -2, -1, -1, 0, 0 ], [ 6, -10, 4, 2, 0, 4, 7, 9, 2, 4 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, -1, -1, -1, -1, 0 ], 
              [ -6, 10, -4, -2, 1, -3, -5, -7, -1, -4 ], [ 6, -10, 4, 2, -1, 3, 5, 8, 2, 4 ], [ -4, 8, -2, 0, 2, 0, -2, -5, -1, -3 ] ] ), rec(
          gX := [ [ 7, -12, 8, 8, 12, 28, 28, 28, 12, 16, -6, -14, -14, -14, -6, -8 ], [ -4, 7, -4, -4, -4, -12, -12, -12, -4, -8, 2, 6, 6, 6, 2, 4 ], 
              [ -6, 10, -7, -6, -8, -20, -20, -20, -8, -12, 4, 10, 10, 10, 4, 6 ], [ -2, 2, -2, -3, -4, -8, -8, -8, -4, -4, 2, 4, 4, 4, 2, 2 ], 
              [ 3, -5, 3, 3, 3, 10, 10, 10, 4, 6, -1, -5, -5, -5, -2, -3 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ -2, 4, -2, -2, -2, -6, -7, -7, -3, -5, 1, 3, 4, 4, 2, 3 ], [ 3, -5, 3, 3, 4, 10, 10, 10, 4, 7, -2, -5, -5, -5, -2, -4 ], 
              [ -3, 5, -3, -3, -4, -10, -10, -10, -3, -6, 2, 5, 5, 5, 1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
          gY := [ [ 7, -12, 8, 8, 6, 14, 14, 14, 6, 8 ], [ -4, 7, -4, -4, -2, -6, -6, -6, -2, -4 ], [ -6, 10, -7, -6, -4, -10, -10, -10, -4, -6 ], 
              [ -2, 2, -2, -3, -2, -4, -4, -4, -2, -2 ], [ 6, -10, 6, 6, 3, 10, 10, 10, 4, 6 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
              [ -4, 8, -4, -4, -2, -6, -7, -7, -3, -5 ], [ 6, -10, 6, 6, 4, 10, 10, 10, 4, 7 ], [ -6, 10, -6, -6, -4, -10, -10, -10, -3, -6 ] ] ), rec(
          gX := [ [ 11, -16, 4, -2, -16, -12, 0, 0, -16, 4, 8, 6, 0, 0, 8, -2 ], [ -8, 11, -4, 0, 8, 4, -4, -4, 8, -4, -4, -2, 2, 2, -4, 2 ], 
              [ -12, 16, -5, 2, 16, 12, 0, 0, 16, -4, -8, -6, 0, 0, -8, 2 ], [ -2, 2, 0, 1, 4, 6, 2, 2, 4, 0, -2, -3, -1, -1, -2, 0 ], [ 5, -7, 2, -1, -7, -5, 1, 1, -6, 2, 4, 3, 0, 0, 3, -1 ], 
              [ 1, -1, 0, 0, -2, -2, -1, -1, -2, 0, 1, 1, 0, 0, 1, 0 ], [ -2, 3, 0, 1, 6, 6, 3, 2, 4, 0, -3, -3, -1, -1, -2, 0 ], [ -3, 4, -2, -1, 0, -3, -5, -4, 2, -2, 0, 1, 2, 2, -1, 1 ], 
              [ 6, -9, 3, 0, -6, -3, 3, 3, -7, 3, 3, 2, -1, -1, 4, -1 ], [ -4, 6, -2, 0, 4, 2, -2, -2, 4, -3, -2, -1, 1, 1, -2, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ],
          gY := [ [ 11, -16, 4, -2, -8, -6, 0, 0, -8, 2 ], [ -8, 11, -4, 0, 4, 2, -2, -2, 4, -2 ], [ -12, 16, -5, 2, 8, 6, 0, 0, 8, -2 ], 
              [ -2, 2, 0, 1, 2, 3, 1, 1, 2, 0 ], [ 10, -14, 4, -2, -7, -5, 1, 1, -6, 2 ], [ 2, -2, 0, 0, -2, -2, -1, -1, -2, 0 ], [ -4, 6, 0, 2, 6, 6, 3, 2, 4, 0 ], 
              [ -6, 8, -4, -2, 0, -3, -5, -4, 2, -2 ], [ 12, -18, 6, 0, -6, -3, 3, 3, -7, 3 ], [ -8, 12, -4, 0, 4, 2, -2, -2, 4, -3 ] ] ), rec(
          gX := [ [ 13, -20, 14, 12, 20, 48, 52, 52, 24, 28, -10, -24, -26, -26, -12, -14 ], [ -8, 13, -8, -6, -8, -24, -28, -28, -12, -16, 4, 12, 14, 14, 6, 8 ], 
              [ -12, 18, -13, -10, -16, -40, -44, -44, -20, -24, 8, 20, 22, 22, 10, 12 ], [ 0, 0, 0, -1, 0, -2, -2, -2, -2, 0, 0, 1, 1, 1, 1, 0 ], 
              [ 6, -9, 6, 5, 7, 19, 21, 21, 9, 12, -3, -9, -10, -10, -4, -6 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, -1, -1, -1, 0 ], 
              [ -1, 1, -1, -1, -2, -4, -5, -4, -2, -2, 1, 2, 3, 2, 1, 1 ], [ -4, 7, -4, -3, -4, -12, -14, -15, -7, -9, 2, 6, 7, 8, 4, 5 ], 
              [ 5, -8, 5, 4, 6, 17, 19, 19, 9, 11, -3, -9, -10, -10, -5, -6 ], [ -5, 8, -5, -4, -6, -17, -19, -19, -8, -10, 3, 9, 10, 10, 4, 5 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ] ],
          gY := [ [ 13, -20, 14, 12, 10, 24, 26, 26, 12, 14 ], [ -8, 13, -8, -6, -4, -12, -14, -14, -6, -8 ], [ -12, 18, -13, -10, -8, -20, -22, -22, -10, -12 ], 
              [ 0, 0, 0, -1, 0, -1, -1, -1, -1, 0 ], [ 12, -18, 12, 10, 7, 19, 21, 21, 9, 12 ], [ 0, 0, 0, 0, 0, 0, 1, 1, 1, 0 ], [ -2, 2, -2, -2, -2, -4, -5, -4, -2, -2 ], 
              [ -8, 14, -8, -6, -4, -12, -14, -15, -7, -9 ], [ 10, -16, 10, 8, 6, 17, 19, 19, 9, 11 ], [ -10, 16, -10, -8, -6, -17, -19, -19, -8, -10 ] ] ), rec(
          gX := [ [ 15, -36, 10, 4, -12, 8, 24, 36, 0, 20, 6, -4, -12, -18, 0, -10 ], [ -12, 27, -8, -4, 8, -8, -20, -28, 0, -16, -4, 4, 10, 14, 0, 8 ], 
              [ -18, 42, -13, -6, 10, -14, -32, -44, 0, -24, -5, 7, 16, 22, 0, 12 ], [ -2, 4, 0, 1, 6, 6, 4, 0, 4, 0, -3, -3, -2, 0, -2, 0 ], 
              [ 9, -21, 6, 3, -6, 7, 16, 22, 0, 12, 3, -3, -8, -11, 0, -6 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
              [ -4, 9, -3, -2, 1, -5, -9, -12, -2, -6, 0, 3, 5, 6, 1, 3 ], [ -2, 5, -1, 0, 3, 1, -1, -3, 1, -3, -2, -1, 0, 1, -1, 1 ], [ 7, -16, 4, 1, -8, 0, 8, 14, -1, 9, 4, 0, -4, -7, 1, -4 ], 
              [ -5, 12, -3, -1, 6, 0, -6, -10, 1, -6, -3, 0, 3, 5, -1, 3 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
          gY := [ [ 15, -36, 10, 4, -6, 4, 12, 18, 0, 10 ], [ -12, 27, -8, -4, 4, -4, -10, -14, 0, -8 ], [ -18, 42, -13, -6, 5, -7, -16, -22, 0, -12 ], 
              [ -2, 4, 0, 1, 3, 3, 2, 0, 2, 0 ], [ 18, -42, 12, 6, -6, 7, 16, 22, 0, 12 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ -8, 18, -6, -4, 1, -5, -9, -12, -2, -6 ], 
              [ -4, 10, -2, 0, 3, 1, -1, -3, 1, -3 ], [ 14, -32, 8, 2, -8, 0, 8, 14, -1, 9 ], [ -10, 24, -6, -2, 6, 0, -6, -10, 1, -6 ] ] ), rec(
          gX := [ [ 17, -36, 16, 8, 8, 40, 56, 48, 12, 32, -4, -20, -28, -24, -6, -16 ], [ -12, 25, -10, -4, 0, -20, -32, -28, -4, -20, 0, 10, 16, 14, 2, 10 ], 
              [ -16, 32, -13, -6, -2, -30, -46, -40, -8, -28, 1, 15, 23, 20, 4, 14 ], [ -2, 4, -2, -1, -2, -6, -6, -4, 0, -4, 1, 3, 3, 2, 0, 2 ], 
              [ 8, -16, 7, 3, 2, 15, 23, 20, 4, 14, -1, -7, -11, -10, -2, -7 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], 
              [ -2, 4, -2, -1, -1, -5, -6, -6, -2, -4, 1, 3, 3, 3, 1, 2 ], [ -5, 11, -4, -1, 1, -7, -13, -11, -1, -8, -1, 3, 6, 5, 0, 4 ], 
              [ 10, -22, 9, 4, 2, 20, 30, 26, 5, 18, -1, -10, -15, -13, -2, -9 ], [ -7, 15, -7, -4, -4, -18, -24, -20, -5, -13, 2, 9, 12, 10, 2, 6 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ] ],
          gY := [ [ 17, -36, 16, 8, 4, 20, 28, 24, 6, 16 ], [ -12, 25, -10, -4, 0, -10, -16, -14, -2, -10 ], [ -16, 32, -13, -6, -1, -15, -23, -20, -4, -14 ], 
              [ -2, 4, -2, -1, -1, -3, -3, -2, 0, -2 ], [ 16, -32, 14, 6, 2, 15, 23, 20, 4, 14 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -4, 8, -4, -2, -1, -5, -6, -6, -2, -4 ], 
              [ -10, 22, -8, -2, 1, -7, -13, -11, -1, -8 ], [ 20, -44, 18, 8, 2, 20, 30, 26, 5, 18 ], [ -14, 30, -14, -8, -4, -18, -24, -20, -5, -13 ] ] ), rec(
          gX := [ [ 17, -36, 24, 16, 28, 60, 64, 64, 16, 24, -14, -30, -32, -32, -8, -12 ], [ -12, 25, -16, -10, -16, -36, -40, -40, -8, -16, 8, 18, 20, 20, 4, 8 ], 
              [ -20, 42, -27, -18, -30, -66, -72, -72, -16, -28, 15, 33, 36, 36, 8, 14 ], [ -6, 14, -8, -5, -6, -18, -20, -20, -4, -8, 3, 9, 10, 10, 2, 4 ], 
              [ 7, -15, 10, 7, 12, 25, 26, 26, 6, 10, -6, -12, -13, -13, -3, -5 ], [ 3, -7, 4, 2, 3, 8, 10, 10, 2, 4, -1, -4, -5, -5, -1, -2 ], 
              [ -3, 7, -4, -2, -3, -7, -9, -10, -2, -4, 1, 3, 4, 5, 1, 2 ], [ -4, 8, -6, -4, -8, -16, -16, -15, -4, -6, 4, 8, 8, 7, 2, 3 ], 
              [ 8, -16, 11, 7, 12, 26, 28, 28, 7, 11, -6, -13, -14, -14, -4, -6 ], [ -6, 12, -8, -5, -8, -18, -20, -20, -4, -7, 4, 9, 10, 10, 2, 4 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
          gY := [ [ 17, -36, 24, 16, 14, 30, 32, 32, 8, 12 ], [ -12, 25, -16, -10, -8, -18, -20, -20, -4, -8 ], [ -20, 42, -27, -18, -15, -33, -36, -36, -8, -14 ], 
              [ -6, 14, -8, -5, -3, -9, -10, -10, -2, -4 ], [ 14, -30, 20, 14, 12, 25, 26, 26, 6, 10 ], [ 6, -14, 8, 4, 3, 8, 10, 10, 2, 4 ], [ -6, 14, -8, -4, -3, -7, -9, -10, -2, -4 ], 
              [ -8, 16, -12, -8, -8, -16, -16, -15, -4, -6 ], [ 16, -32, 22, 14, 12, 26, 28, 28, 7, 11 ], [ -12, 24, -16, -10, -8, -18, -20, -20, -4, -7 ] ] ), rec(
          gX := [ [ 21, -36, 6, -8, -36, -24, 4, -4, -32, 12, 18, 12, -2, 2, 16, -6 ], [ -12, 21, -4, 4, 20, 12, -4, 0, 16, -8, -10, -6, 2, 0, -8, 4 ], 
              [ -18, 30, -5, 6, 30, 18, -6, 0, 24, -12, -15, -9, 3, 0, -12, 6 ], [ -2, 4, -2, -1, -2, -6, -6, -4, 0, -4, 1, 3, 3, 2, 0, 2 ], 
              [ 9, -15, 3, -3, -14, -9, 3, 0, -12, 6, 7, 5, -1, 0, 6, -3 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], 
              [ -1, 1, 0, 1, 3, 3, 2, 2, 2, 0, -1, -1, -1, -1, -1, 0 ], [ -7, 13, -2, 3, 13, 9, -1, 1, 11, -4, -7, -5, 0, -1, -6, 2 ], 
              [ 10, -18, 3, -4, -18, -12, 2, -2, -15, 6, 9, 6, -1, 1, 8, -3 ], [ -8, 14, -3, 2, 12, 6, -4, 0, 11, -5, -6, -3, 2, 0, -6, 2 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ] ],
          gY := [ [ 21, -36, 6, -8, -18, -12, 2, -2, -16, 6 ], [ -12, 21, -4, 4, 10, 6, -2, 0, 8, -4 ], [ -18, 30, -5, 6, 15, 9, -3, 0, 12, -6 ], 
              [ -2, 4, -2, -1, -1, -3, -3, -2, 0, -2 ], [ 18, -30, 6, -6, -14, -9, 3, 0, -12, 6 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ -2, 2, 0, 2, 3, 3, 2, 2, 2, 0 ], 
              [ -14, 26, -4, 6, 13, 9, -1, 1, 11, -4 ], [ 20, -36, 6, -8, -18, -12, 2, -2, -15, 6 ], [ -16, 28, -6, 4, 12, 6, -4, 0, 11, -5 ] ] ), rec(
          gX := [ [ 21, -36, 20, 6, -4, 8, 24, 24, -16, 4, 2, -4, -12, -12, 8, -2 ], [ -12, 21, -12, -4, 0, -8, -16, -16, 8, -4, 0, 4, 8, 8, -4, 2 ], 
              [ -20, 34, -19, -6, 2, -10, -24, -24, 16, -4, -1, 5, 12, 12, -8, 2 ], [ -4, 8, -4, -1, 2, -2, -4, -4, 4, 0, -1, 1, 2, 2, -2, 0 ], 
              [ 8, -14, 8, 3, 0, 5, 10, 10, -6, 2, 0, -2, -5, -5, 3, -1 ], [ 2, -4, 2, 0, -1, 0, 2, 2, -2, 0, 1, 0, -1, -1, 1, 0 ], 
              [ -2, 4, -2, 0, 1, 1, -1, -2, 2, 0, -1, -1, 0, 1, -1, 0 ], [ -6, 10, -6, -2, 0, -4, -8, -7, 4, -2, 0, 2, 4, 3, -2, 1 ], [ 9, -15, 9, 3, 0, 6, 12, 12, -5, 3, 0, -3, -6, -6, 2, -2 ], 
              [ -8, 14, -8, -3, 0, -6, -12, -12, 4, -3, 0, 3, 6, 6, -2, 2 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ] ],
          gY := [ [ 21, -36, 20, 6, -2, 4, 12, 12, -8, 2 ], [ -12, 21, -12, -4, 0, -4, -8, -8, 4, -2 ], [ -20, 34, -19, -6, 1, -5, -12, -12, 8, -2 ], 
              [ -4, 8, -4, -1, 1, -1, -2, -2, 2, 0 ], [ 16, -28, 16, 6, 0, 5, 10, 10, -6, 2 ], [ 4, -8, 4, 0, -1, 0, 2, 2, -2, 0 ], [ -4, 8, -4, 0, 1, 1, -1, -2, 2, 0 ], 
              [ -12, 20, -12, -4, 0, -4, -8, -7, 4, -2 ], [ 18, -30, 18, 6, 0, 6, 12, 12, -5, 3 ], [ -16, 28, -16, -6, 0, -6, -12, -12, 4, -3 ] ] ), rec(
          gX := [ [ 23, -36, -4, -16, -76, -84, -44, -20, -52, -8, 38, 42, 22, 10, 26, 4 ], [ -12, 19, 2, 8, 40, 44, 24, 12, 28, 4, -20, -22, -12, -6, -14, -2 ], 
              [ -20, 32, 3, 14, 66, 74, 40, 20, 48, 8, -33, -37, -20, -10, -24, -4 ], [ -2, 4, 0, 1, 6, 6, 4, 0, 4, 0, -3, -3, -2, 0, -2, 0 ], 
              [ 10, -16, -2, -7, -34, -37, -20, -10, -24, -4, 17, 19, 10, 5, 12, 2 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
              [ -2, 3, 1, 2, 9, 11, 7, 4, 6, 2, -4, -5, -3, -2, -3, -1 ], [ -6, 9, 1, 4, 19, 21, 11, 5, 13, 1, -10, -11, -6, -3, -7, -1 ], 
              [ 9, -14, -2, -7, -32, -36, -20, -10, -21, -3, 16, 18, 10, 5, 11, 2 ], [ -8, 13, 1, 5, 26, 28, 14, 6, 17, 2, -13, -14, -7, -3, -9, -1 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ] ],
          gY := [ [ 23, -36, -4, -16, -38, -42, -22, -10, -26, -4 ], [ -12, 19, 2, 8, 20, 22, 12, 6, 14, 2 ], [ -20, 32, 3, 14, 33, 37, 20, 10, 24, 4 ], 
              [ -2, 4, 0, 1, 3, 3, 2, 0, 2, 0 ], [ 20, -32, -4, -14, -34, -37, -20, -10, -24, -4 ], [ 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ -4, 6, 2, 4, 9, 11, 7, 4, 6, 2 ], 
              [ -12, 18, 2, 8, 19, 21, 11, 5, 13, 1 ], [ 18, -28, -4, -14, -32, -36, -20, -10, -21, -3 ], [ -16, 26, 2, 10, 26, 28, 14, 6, 17, 2 ] ] ), rec(
          gX := [ [ 27, -60, 26, 16, 12, 56, 76, 76, 8, 44, -6, -28, -38, -38, -4, -22 ], [ -12, 27, -12, -8, -8, -28, -36, -36, -4, -20, 4, 14, 18, 18, 2, 10 ], 
              [ -20, 46, -19, -12, -8, -40, -56, -56, -4, -32, 4, 20, 28, 28, 2, 16 ], [ -2, 4, -2, -1, 0, -2, -2, -2, 2, -2, 0, 1, 1, 1, -1, 1 ], 
              [ 9, -21, 9, 6, 5, 21, 27, 27, 3, 15, -2, -10, -13, -13, -1, -7 ], [ 1, -2, 1, 0, 0, 0, 1, 1, -1, 1, 0, 0, -1, -1, 0, -1 ], 
              [ -2, 5, -3, -2, -4, -8, -9, -8, -2, -4, 2, 4, 5, 4, 1, 2 ], [ -8, 17, -7, -4, -2, -14, -20, -21, -1, -12, 1, 7, 10, 11, 1, 6 ], 
              [ 12, -26, 12, 8, 8, 28, 36, 36, 5, 20, -4, -14, -18, -18, -3, -10 ], [ -9, 20, -9, -6, -6, -21, -27, -27, -4, -16, 3, 10, 13, 13, 2, 8 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0 ] ],
          gY := [ [ 27, -60, 26, 16, 6, 28, 38, 38, 4, 22 ], [ -12, 27, -12, -8, -4, -14, -18, -18, -2, -10 ], [ -20, 46, -19, -12, -4, -20, -28, -28, -2, -16 ], 
              [ -2, 4, -2, -1, 0, -1, -1, -1, 1, -1 ], [ 18, -42, 18, 12, 5, 21, 27, 27, 3, 15 ], [ 2, -4, 2, 0, 0, 0, 1, 1, -1, 1 ], [ -4, 10, -6, -4, -4, -8, -9, -8, -2, -4 ], 
              [ -16, 34, -14, -8, -2, -14, -20, -21, -1, -12 ], [ 24, -52, 24, 16, 8, 28, 36, 36, 5, 20 ], [ -18, 40, -18, -12, -6, -21, -27, -27, -4, -16 ] ] ), rec(
          gX := [ [ 31, -64, 32, 20, 16, 64, 88, 88, 16, 48, -8, -32, -44, -44, -8, -24 ], [ -16, 31, -16, -10, -8, -32, -44, -44, -8, -24, 4, 16, 22, 22, 4, 12 ], 
              [ -28, 56, -29, -18, -16, -60, -80, -80, -16, -44, 8, 30, 40, 40, 8, 22 ], [ -4, 8, -4, -3, -4, -10, -14, -14, -4, -8, 2, 5, 7, 7, 2, 4 ], 
              [ 12, -24, 12, 7, 5, 23, 33, 33, 6, 18, -2, -11, -16, -16, -3, -9 ], [ 2, -4, 2, 2, 2, 6, 7, 7, 2, 4, -1, -3, -4, -4, -1, -2 ], 
              [ -3, 6, -2, -1, 2, -2, -5, -6, 0, -4, -1, 1, 3, 3, 0, 2 ], [ -9, 18, -10, -7, -8, -23, -29, -28, -6, -14, 4, 11, 14, 14, 3, 7 ], 
              [ 13, -26, 13, 8, 6, 25, 35, 35, 5, 19, -3, -12, -17, -17, -2, -9 ], [ -10, 20, -10, -6, -4, -18, -26, -26, -4, -15, 2, 9, 13, 13, 2, 7 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ], 
              [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1 ] ],
          gY := [ [ 31, -64, 32, 20, 8, 32, 44, 44, 8, 24 ], [ -16, 31, -16, -10, -4, -16, -22, -22, -4, -12 ], [ -28, 56, -29, -18, -8, -30, -40, -40, -8, -22 ], 
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  embQSX := [ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], 
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      [ -2, 2, -2, 0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 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 ], 
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  embSY2SX := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
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      [ 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -1 ] ],
  generatorsAutQ := [ [ [ 1, 1, 1, 1, 1, 1 ], [ 0, -1, -1, -1, -1, -1 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ] ], 
      [ [ 1, 1, 1, 1, 1, 1 ], [ 0, -1, -1, -1, -1, -1 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, -1, 0 ] ], 
      [ [ 1, 1, 1, 1, 1, 1 ], [ -1, -1, -1, -1, -1, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ] ] ],
  invol := [ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], 
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  iotaYtype := "40B",
  weyl0 := [ 38, -39, 39, 5, 13, 7, 0, -7, -6, -1, 31, -32, -27, -42, -38, -57, -21, 1, -13, -5, 2, -3, -38, -6, -16, -13 ] );