degree:12
 order:64
[ 12, 3, 12, 12, 12, 12 ][ 4, 6, 2, 0, 2, 0, 0, 2, 0, 0, 2, 4, 6, 4, 2 ] 
minimal polynomial:
[ x-12, x, x+4, x^2-24, x^2+8*x-16 ]1
[ x-3, x+1 ]
[ x-12, x-4, x+2, x+4, x^2-8*x-16 ]
[ x-12, x-2, x+4, x^2-8*x-16 ]
[ x-12, x, x+4, x^2-24, x^2+8*x-16 ]
[ x-12, x, 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, 1, 6, 2, 0, 2 ], [ 0, 4, 0, 0, 0, 8, 0 ], [ 0, 6, 0, 0, 0, 2, 4 ],
      [ 0, 2, 0, 0, 0, 6, 4 ], [ 0, 0, 2, 2, 6, 0, 2 ], [ 0, 2, 0, 4, 4, 2, 0 ] ],
  [ [ 0, 0, 3, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 2, 0 ], [ 1, 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 2, 0, 0 ],
      [ 0, 0, 0, 2, 1, 0, 0 ], [ 0, 2, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 12, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 2, 4 ], [ 0, 0, 0, 4, 8, 0, 0 ], [ 1, 0, 1, 5, 3, 0, 2 ],
      [ 0, 0, 2, 3, 5, 0, 2 ], [ 0, 2, 0, 0, 0, 6, 4 ], [ 0, 4, 0, 2, 2, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 12, 0, 0 ], [ 0, 2, 0, 0, 0, 6, 4 ], [ 0, 0, 0, 8, 4, 0, 0 ], [ 0, 0, 2, 3, 5, 0, 2 ],
      [ 1, 0, 1, 5, 3, 0, 2 ], [ 0, 6, 0, 0, 0, 2, 4 ], [ 0, 4, 0, 2, 2, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 2, 2, 6, 0, 2 ], [ 0, 8, 0, 0, 0, 4, 0 ], [ 0, 2, 0, 0, 0, 6, 4 ],
      [ 0, 6, 0, 0, 0, 2, 4 ], [ 1, 0, 1, 6, 2, 0, 2 ], [ 0, 2, 0, 4, 4, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 2, 0, 4, 4, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 4, 0, 2, 2, 4, 0 ],
      [ 0, 4, 0, 2, 2, 4, 0 ], [ 0, 2, 0, 4, 4, 2, 0 ], [ 1, 0, 3, 0, 0, 0, 8 ] ] ]