degree:6
 order:35
[ 6, 4, 12, 12 ][ 3, 1, 0, 1, 0, 2 ]

minimal polynomial:[ x-6, x-4, x-1, x+1, x+3 ]
[ x-4, x-2, x+1, x+3 ]
[ x-12, x-5, x, x+3 ]
[ x-12, x-2, x, x+2, 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, 6, 0, 0, 0 ], [ 1, 1, 2, 2, 0 ], [ 0, 3, 0, 3, 0 ], [ 0, 1, 1, 2, 2 ], [ 0, 0, 0, 2, 4 ] ],
  [ [ 0, 0, 4, 0, 0 ], [ 0, 2, 0, 2, 0 ], [ 1, 0, 0, 3, 0 ], [ 0, 1, 1, 0, 2 ], [ 0, 0, 0, 2, 2 ] ],
  [ [ 0, 0, 0, 12, 0 ], [ 0, 2, 2, 4, 4 ], [ 0, 3, 3, 0, 6 ], [ 1, 2, 0, 5, 4 ], [ 0, 2, 2, 4, 4 ] ],
  [ [ 0, 0, 0, 0, 12 ], [ 0, 0, 0, 4, 8 ], [ 0, 0, 0, 6, 6 ], [ 0, 2, 2, 4, 4 ], [ 1, 4, 2, 4, 1 ] ] ]