degree:12
 order:40
 [ 12, 3, 4, 4, 4, 12 ][ 8, 0, 0, 6, 7, 0, 3, 0, 0, 0, 3, 3, 3, 2, 0 ]
minimal polynomial:
[ x-12, x-3, x, x+3, x+12, x^2-5 ]1
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-4, x-1, x, x+1, x+4, x^2-5 ]
[ x-4, x+1 ]
[ x-12, x-1, x+3, x+4 ]

 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, 0, 2, 7 ], [ 0, 8, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 3, 9 ],
      [ 0, 0, 3, 0, 0, 3, 6 ], [ 0, 6, 0, 3, 3, 0, 0 ], [ 0, 7, 0, 3, 2, 0, 0 ] ],
  [ [ 0, 0, 3, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 1, 0, 0 ], [ 1, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 3, 0, 0, 0 ],
      [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 0, 0, 1, 2 ] ],
  [ [ 0, 0, 0, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 3 ], [ 0, 0, 0, 4, 0, 0, 0 ], [ 1, 0, 3, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 1, 3 ], [ 0, 3, 0, 0, 1, 0, 0 ], [ 0, 3, 0, 0, 1, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 1, 0, 0, 1, 2 ], [ 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 3 ],
      [ 1, 0, 0, 0, 0, 0, 3 ], [ 0, 3, 0, 1, 0, 0, 0 ], [ 0, 2, 0, 1, 1, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 2, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 3, 0, 0, 1, 0, 0 ],
      [ 0, 3, 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 1, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 7, 0, 3, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 8 ], [ 0, 9, 0, 0, 3, 0, 0 ],
      [ 0, 6, 0, 3, 3, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 9 ], [ 1, 0, 2, 0, 0, 3, 6 ] ] ]