degree:12
 order:60
[ 12, 12, 3, 4, 14, 14 ][ 1, 12, 0, 6, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, 6 ]
minimal polynomial:
[ x-12, x-8, x-3, x, x+3, x+8, x+12 ]
[ x-12, x-3, x, x+8 ]
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-14, x-4, x, x+7 ]
[ x-14, x-7, x-4, x, x+4, x+7, x+14 ]

 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, 3, 0, 7, 0 ], [ 0, 1, 0, 0, 4, 0, 7 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ], [ 0, 0, 6, 0, 0, 6, 0 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 4, 0, 7 ], [ 1, 0, 1, 3, 0, 7, 0 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 0, 0, 6, 0, 0, 6, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ] ],
  [ [ 0, 0, 0, 3, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0 ], [ 1, 0, 0, 2, 0, 0, 0 ],
      [ 0, 0, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 4, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 4, 0, 0 ],
      [ 1, 0, 0, 3, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 14, 0 ], [ 0, 7, 0, 0, 0, 0, 7 ], [ 0, 0, 7, 0, 0, 7, 0 ], [ 0, 0, 0, 0, 0, 14, 0 ],
      [ 0, 0, 0, 0, 0, 0, 14 ], [ 1, 0, 6, 3, 0, 4, 0 ], [ 0, 6, 0, 0, 4, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 14 ], [ 0, 0, 7, 0, 0, 7, 0 ], [ 0, 7, 0, 0, 0, 0, 7 ], [ 0, 0, 0, 0, 0, 0, 14 ],
      [ 0, 0, 0, 0, 0, 14, 0 ], [ 0, 6, 0, 0, 4, 0, 4 ], [ 1, 0, 6, 3, 0, 4, 0 ] ] ]