degree:24
 order:56
[ 24, 1, 30 ][ 24, 8, 0, 0 ]

minimal polynomial:[ x-24, x-8, x, x+4 ][ x-1, x+1 ]
[ x-30, x-2, x, x+10 ]

 SITA:
[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 24, 0, 0 ], [ 1, 12, 1, 10 ], [ 0, 24, 0, 0 ], [ 0, 8, 0, 16 ] ], 
  [ [ 0, 0, 1, 0 ], [ 0, 1, 0, 0 ], [ 1, 0, 0, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 30 ], [ 0, 10, 0, 20 ], [ 0, 0, 0, 30 ], [ 1, 16, 1, 12 ] ] ]