degree:12
 order:54
[ 12, 8, 3, 6, 12, 12 ][ 3, 0, 8, 0, 5, 8, 0, 4, 0, 0, 0, 1, 2, 0, 6 ]
minimal polynomial:
[ x-12, x, x+12, x^2-24, x^2-3 ]1
[ x-8, x-2, x+1, x+4 ]
[ x-3, x, x+3, x^2-6, x^2-3 ]
[ x-6, x-3, x, x+3 ]
[ x-12, x, x+12, x^2-12, x^2-6 ]
[ x-12, x-3, x, x+3 ]

 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, 2, 0, 4, 0, 5 ], [ 0, 3, 0, 3, 0, 6, 0 ], [ 0, 0, 8, 0, 0, 0, 4 ],
      [ 0, 8, 0, 0, 0, 4, 0 ], [ 0, 0, 4, 0, 2, 0, 6 ], [ 0, 5, 0, 1, 0, 6, 0 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 2, 0, 2, 0, 4, 0 ], [ 1, 0, 1, 0, 3, 0, 3 ], [ 0, 8, 0, 0, 0, 0, 0 ],
      [ 0, 0, 4, 0, 0, 0, 4 ], [ 0, 4, 0, 0, 0, 4, 0 ], [ 0, 0, 2, 0, 2, 0, 4 ] ],
  [ [ 0, 0, 0, 3, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 1 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 2, 0, 0 ],
      [ 0, 0, 0, 1, 0, 2, 0 ], [ 0, 0, 0, 0, 1, 0, 2 ], [ 0, 1, 0, 0, 0, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 6, 0, 0 ], [ 0, 4, 0, 0, 0, 2, 0 ], [ 0, 0, 3, 0, 0, 0, 3 ], [ 0, 0, 0, 2, 0, 4, 0 ],
      [ 1, 0, 0, 0, 1, 0, 4 ], [ 0, 2, 0, 1, 0, 3, 0 ], [ 0, 0, 2, 0, 2, 0, 2 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 4, 0, 2, 0, 6 ], [ 0, 6, 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 4, 0, 8 ],
      [ 0, 4, 0, 2, 0, 6, 0 ], [ 1, 0, 4, 0, 3, 0, 4 ], [ 0, 6, 0, 2, 0, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 5, 0, 1, 0, 6, 0 ], [ 0, 0, 3, 0, 3, 0, 6 ], [ 0, 4, 0, 0, 0, 8, 0 ],
      [ 0, 0, 4, 0, 4, 0, 4 ], [ 0, 6, 0, 2, 0, 4, 0 ], [ 1, 0, 4, 0, 2, 0, 5 ] ] ]