degree:8
 order:45
[ 8, 12, 8, 16 ][ 4, 0, 0, 0, 3, 4 ]

minimal polynomial:[ x-8, x-5, x, x+4, x+7 ]
[ x-12, x-3, x+2 ]
[ x-8, x-1, x+4 ]
[ x-16, x-4, x, x+5, x+14 ]

 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, 1, 6, 0, 0 ], [ 0, 4, 0, 0, 4 ], [ 0, 0, 0, 0, 8 ], [ 0, 0, 3, 4, 1 ] ],
  [ [ 0, 0, 12, 0, 0 ], [ 0, 6, 0, 0, 6 ], [ 1, 0, 7, 4, 0 ], [ 0, 0, 6, 6, 0 ], [ 0, 3, 0, 0, 9 ] ],
  [ [ 0, 0, 0, 8, 0 ], [ 0, 0, 0, 0, 8 ], [ 0, 0, 4, 4, 0 ], [ 1, 0, 6, 1, 0 ], [ 0, 4, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 16 ], [ 0, 0, 6, 8, 2 ], [ 0, 4, 0, 0, 12 ], [ 0, 8, 0, 0, 8 ], [ 1, 1, 9, 4, 1 ]
     ] ]