degree:8
 order:42
[ 8, 1, 16, 16 ][ 8, 2, 0, 0, 0, 4 ]

minimal polynomial:[ x-8, x, x+4, x^2-4*x-4 ]1
[ x-1, x+1 ]
[ x-16, x-4, x, x^2+8*x+8 ]
[ x-16, x, x+2, x^2-32 ]

 SITA:
[ [ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ],
  [ [ 0, 8, 0, 0, 0 ], [ 1, 2, 1, 4, 0 ], [ 0, 8, 0, 0, 0 ], [ 0, 2, 0, 2, 4 ], [ 0, 0, 0, 4, 4 ] ],
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 16, 0 ], [ 0, 4, 0, 4, 8 ], [ 0, 0, 0, 16, 0 ], [ 1, 2, 1, 4, 8 ], [ 0, 4, 0, 8, 4 ] ]
    , [ [ 0, 0, 0, 0, 16 ], [ 0, 0, 0, 8, 8 ], [ 0, 0, 0, 0, 16 ], [ 0, 4, 0, 8, 4 ],
      [ 1, 4, 1, 4, 6 ] ] ]