degree:10
 order:42
[ 10, 20, 1, 10 ][ 3, 0, 0, 0, 6, 1 ]

minimal polynomial:[ x-10, x-5, x-1, x+2, x+4 ]
[ x-20, x-6, x, x+4 ]
[ x-1, x+1 ]
[ x-10, x-2, x-1, x+4, x+5 ]

 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, 3, 6, 0, 0 ], [ 0, 3, 4, 0, 3 ], [ 0, 0, 0, 0, 10 ], [ 0, 0, 6, 1, 3 ] ]
    , [ [ 0, 0, 20, 0, 0 ], [ 0, 6, 8, 0, 6 ], [ 1, 4, 10, 1, 4 ], [ 0, 0, 20, 0, 0 ],
      [ 0, 6, 8, 0, 6 ] ],
  [ [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 10 ], [ 0, 0, 6, 1, 3 ], [ 0, 3, 4, 0, 3 ], [ 0, 10, 0, 0, 0 ], [ 1, 3, 6, 0, 0 ]
     ] ]