degree:10
 order:36
[ 10, 1, 10, 14 ][ 10, 3, 0, 0, 0, 5 ]

minimal polynomial:[ x-10, x-7, x, x+2, x+5 ]
[ x-1, x+1 ]
[ x-10, x, x+2 ]
[ x-14, x-2, x, x+7 ]
 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, 10, 0, 0, 0 ], [ 1, 5, 1, 3, 0 ], [ 0, 10, 0, 0, 0 ], [ 0, 3, 0, 0, 7 ], [ 0, 0, 0, 5, 5 ] ]
    , [ [ 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, 10, 0 ], [ 0, 3, 0, 0, 7 ], [ 0, 0, 0, 10, 0 ], [ 1, 0, 1, 8, 0 ], [ 0, 5, 0, 0, 5 ] ]
    , [ [ 0, 0, 0, 0, 14 ], [ 0, 0, 0, 7, 7 ], [ 0, 0, 0, 0, 14 ], [ 0, 7, 0, 0, 7 ],
      [ 1, 5, 1, 5, 2 ] ] ]