degree:12
 order:60
[ 12, 16, 1, 6, 12, 12 ][ 6, 12, 0, 0, 2, 0, 8, 4, 0, 0, 0, 0, 0, 2, 8 ]
minimal polynomial:
[ x-12, x-6, x-2, x, x+2, x+6, x+12 ]
[ x-16, x-4, x, x+4 ]
[ x-1, x+1 ]
[ x-6, x-4, x, x+4, x+6 ]
[ x-12, x-6, x-2, x, x+2, x+6, x+12 ]
[ x-12, x-2, x, x+6 ]

 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, 8, 1, 0, 0, 2 ], [ 0, 6, 0, 0, 3, 3, 0 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 8, 0, 0, 0, 4 ], [ 0, 0, 4, 0, 0, 0, 8 ], [ 0, 2, 0, 0, 2, 8, 0 ] ],
  [ [ 0, 0, 16, 0, 0, 0, 0 ], [ 0, 8, 0, 0, 4, 4, 0 ], [ 1, 0, 8, 1, 0, 0, 6 ], [ 0, 0, 16, 0, 0, 0, 0 ],
      [ 0, 8, 0, 0, 0, 8, 0 ], [ 0, 4, 0, 0, 4, 8, 0 ], [ 0, 0, 8, 0, 0, 0, 8 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 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, 6, 0, 0 ], [ 0, 0, 4, 0, 0, 0, 2 ], [ 0, 3, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 6, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 4 ], [ 0, 0, 4, 0, 0, 0, 2 ], [ 0, 2, 0, 0, 2, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 4, 0, 0, 0, 8 ], [ 0, 3, 0, 0, 3, 6, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 8, 0, 0, 0, 4 ], [ 1, 0, 8, 1, 0, 0, 2 ], [ 0, 8, 0, 0, 2, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 2, 0, 0, 2, 8, 0 ], [ 0, 0, 6, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 4, 0, 0, 4, 4, 0 ], [ 0, 8, 0, 0, 2, 2, 0 ], [ 1, 0, 8, 1, 0, 0, 2 ] ] ]