degree:12
 order:60
[ 12, 12, 1, 2, 16, 16 ][ 6, 12, 0, 3, 0, 0, 12, 0, 3, 0, 0, 0, 0, 0, 9 ]
minimal polynomial:
[ x-12, x-6, x-3, x, x+3, x+6, x+12 ]
[ x-12, x-6, x, x+3 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-16, x-1, x, x+8 ]
[ x-16, x-8, x-1, x, x+1, x+8, x+16 ]

 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, 6, 1, 0, 4, 0 ], [ 0, 6, 0, 0, 2, 0, 4 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 9 ], [ 0, 0, 3, 0, 0, 9, 0 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 2, 0, 4 ], [ 1, 0, 6, 1, 0, 4, 0 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 9, 0 ], [ 0, 3, 0, 0, 0, 0, 9 ] ],
  [ [ 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, 2, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 2, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 16, 0 ], [ 0, 4, 0, 0, 0, 0, 12 ], [ 0, 0, 4, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 16, 0 ],
      [ 0, 0, 0, 0, 0, 0, 16 ], [ 1, 0, 9, 1, 0, 5, 0 ], [ 0, 9, 0, 0, 2, 0, 5 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 0, 4, 0, 0, 12, 0 ], [ 0, 4, 0, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 0, 0, 16 ],
      [ 0, 0, 0, 0, 0, 16, 0 ], [ 0, 9, 0, 0, 2, 0, 5 ], [ 1, 0, 9, 1, 0, 5, 0 ] ] ]