degree:12
 order:54
[ 12, 12, 2, 3, 12, 12 ][ 9, 12, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 9 ]
minimal polynomial:
[ x-12, x, x+12, x^2-9*x-9, x^2+9*x-9 ]1
[ x-12, x, x^2-3*x-27 ]
[ x-2, x+1 ]
[ x-3, x, x+3 ]
[ x-12, x, x^2+9*x-9 ]
[ x-12, x, x+12, x^2-3*x-27, x^2+3*x-27 ]

 SITA:

[ [ [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 12, 0, 0, 0, 0, 0 ], [ 1, 0, 9, 2, 0, 0, 0 ], [ 0, 9, 0, 0, 0, 0, 3 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 3, 0, 9 ], [ 0, 0, 3, 0, 0, 9, 0 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 9, 0, 0, 0, 0, 3 ], [ 1, 0, 6, 2, 0, 3, 0 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 3, 0, 0, 9, 0 ], [ 0, 3, 0, 0, 3, 0, 6 ] ],
  [ [ 0, 0, 0, 2, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ],
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 0, 3, 0, 0 ],
      [ 1, 0, 0, 2, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 3, 0, 9 ], [ 0, 0, 3, 0, 0, 9, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 1, 0, 9, 2, 0, 0, 0 ], [ 0, 9, 0, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 3, 0, 0, 9, 0 ], [ 0, 3, 0, 0, 3, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 9, 0, 0, 0, 0, 3 ], [ 1, 0, 6, 2, 0, 3, 0 ] ] ]