degree:8
 order:42
[ 8, 1, 16, 16 ][ 8, 2, 1, 0, 0, 6 ]

minimal polynomial:[ x-8, x-3, x, x+4, x+6 ]
[ x-1, x+1 ]
[ x-16, x, x+2 ]
[ x-16, x-4, x, x+3, x+12 ]

 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, 0, 1, 4, 2 ], [ 0, 8, 0, 0, 0 ], [ 0, 2, 0, 0, 6 ], [ 0, 1, 0, 6, 1 ] ],
  [ [ 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, 0, 12 ], [ 0, 0, 0, 16, 0 ], [ 1, 0, 1, 14, 0 ],
      [ 0, 6, 0, 0, 10 ] ],
  [ [ 0, 0, 0, 0, 16 ], [ 0, 2, 0, 12, 2 ], [ 0, 0, 0, 0, 16 ], [ 0, 6, 0, 0, 10 ],
      [ 1, 1, 1, 10, 3 ] ] ]