degree:9
 order:54
[ 9, 24, 2, 18 ][ 3, 0, 0, 0, 8, 1 ]

minimal polynomial:[ x-9, x-3, x, x+3, x+9 ]
[ x-24, x, x+3 ]
[ x-2, x+1 ]
[ x-18, x-3, x, x+3, x+18 ]
 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, 9, 0, 0, 0 ], [ 1, 0, 8, 0, 0 ], [ 0, 3, 0, 0, 6 ], [ 0, 0, 0, 0, 9 ], [ 0, 0, 8, 1, 0 ] ],
  [ [ 0, 0, 24, 0, 0 ], [ 0, 8, 0, 0, 16 ], [ 1, 0, 21, 2, 0 ], [ 0, 0, 24, 0, 0 ],
      [ 0, 8, 0, 0, 16 ] ],
  [ [ 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 2 ], [ 0, 0, 2, 0, 0 ], [ 1, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 0, 18 ], [ 0, 0, 16, 2, 0 ], [ 0, 6, 0, 0, 12 ], [ 0, 9, 0, 0, 9 ],
      [ 1, 0, 16, 1, 0 ] ] ]