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

minimal polynomial:
[ x-4, x+1, x^3-6*x+2 ]2
[ x-12, x+3, x^3-12*x+12 ]
[ x-6, x+1 ]
[ x-12, x+3, x^3-12*x-2 ]

 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, 4, 0, 0, 0 ], [ 1, 0, 3, 0, 0 ], [ 0, 1, 1, 1, 1 ], [ 0, 0, 2, 0, 2 ], [ 0, 0, 1, 1, 2 ] ],
  [ [ 0, 0, 12, 0, 0 ], [ 0, 3, 3, 3, 3 ], [ 1, 1, 3, 2, 5 ], [ 0, 2, 4, 0, 6 ], [ 0, 1, 5, 3, 3 ] ],
  [ [ 0, 0, 0, 6, 0 ], [ 0, 0, 3, 0, 3 ], [ 0, 1, 2, 0, 3 ], [ 1, 0, 0, 5, 0 ], [ 0, 1, 3, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 12 ], [ 0, 0, 3, 3, 6 ], [ 0, 1, 5, 3, 3 ], [ 0, 2, 6, 0, 4 ], [ 1, 2, 3, 2, 4 ] ] ]