degree:40
 order:55
[ 40, 4, 10 ][ 30, 36, 4, 0 ]

minimal polynomial:[ x-40, x-1, x+4, x+10 ][ x-4, x+1 ]
[ x-10, x+1 ]

 SITA:
[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 40, 0, 0 ], [ 1, 27, 3, 9 ], [ 0, 30, 0, 10 ], [ 0, 36, 4, 0 ] ], 
  [ [ 0, 0, 4, 0 ], [ 0, 3, 0, 1 ], [ 1, 0, 3, 0 ], [ 0, 4, 0, 0 ] ], 
  [ [ 0, 0, 0, 10 ], [ 0, 9, 1, 0 ], [ 0, 10, 0, 0 ], [ 1, 0, 0, 9 ] ] ]