degree:8
 order:40
 [ 8, 8, 3, 4, 8, 8 ][ 4, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4 ] 
minimal polynomial:
[ x-8, x, x+8, x^2-4*x-16, x^2+4*x-16 ]1
[ x-8, x, x^2+4*x-16 ]
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-8, x, x^2+4*x-16 ]
[ x-8, x, x+8, x^2-4*x-16, x^2+4*x-16 ]
 SITA:
[ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 8, 0, 0, 0, 0, 0 ], [ 1, 0, 4, 3, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 4 ], [ 0, 8, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 4, 0, 4 ], [ 0, 0, 4, 0, 0, 4, 0 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 4 ], [ 1, 0, 0, 3, 0, 4, 0 ], [ 0, 0, 8, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 4, 0, 0, 4, 0 ], [ 0, 4, 0, 0, 4, 0, 0 ] ],
  [ [ 0, 0, 0, 3, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0 ], [ 1, 0, 0, 2, 0, 0, 0 ],
      [ 0, 0, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 4, 0, 0 ],
      [ 1, 0, 0, 3, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 4, 0, 4 ], [ 0, 0, 4, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 8, 0 ],
      [ 0, 8, 0, 0, 0, 0, 0 ], [ 1, 0, 4, 3, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 4, 0, 0, 4, 0 ], [ 0, 4, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 8 ],
      [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 4 ], [ 1, 0, 0, 3, 0, 4, 0 ] ] ]