degree:12
 order:60
[ 12, 12, 1, 4, 6, 24 ][ 7, 12, 3, 0, 1, 0, 9, 0, 1, 0, 0, 0, 0, 0, 3 ]
minimal polynomial:
[ x-12, x-9, x-2, x, x+3, x+4, x+9 ]
[ x-12, x-9, x, x+2, x+3, x+4 ]
[ x-1, x+1 ]
[ x-4, x, x+2 ]
[ x-6, x, x+6 ]
[ x-24, x-8, x, x+6, x+18 ]

 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, 7, 1, 1, 0, 2 ], [ 0, 7, 0, 0, 3, 0, 2 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 3, 9, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 1, 1, 0, 0, 3, 7 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 7, 0, 0, 3, 0, 2 ], [ 1, 0, 7, 1, 1, 0, 2 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 9, 3, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 1, 1, 0, 0, 3, 7 ] ],
  [ [ 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, 4, 0, 0 ], [ 0, 1, 3, 0, 0, 0, 0 ], [ 0, 3, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 4, 0, 0 ],
      [ 1, 0, 0, 1, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 6, 0 ],
      [ 0, 0, 0, 0, 0, 6, 0 ], [ 1, 0, 0, 1, 4, 0, 0 ], [ 0, 3, 3, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 24 ], [ 0, 2, 2, 0, 0, 6, 14 ], [ 0, 2, 2, 0, 0, 6, 14 ], [ 0, 0, 0, 0, 0, 0, 24 ],
      [ 0, 0, 0, 0, 0, 0, 24 ], [ 0, 12, 12, 0, 0, 0, 0 ], [ 1, 7, 7, 1, 4, 0, 4 ] ] ]