degree:12
 order:60
[ 12, 3, 4, 12, 12, 16 ][ 4, 6, 2, 2, 3, 0, 0, 2, 0, 0, 2, 0, 2, 6, 3 ]
minimal polynomial:
[ x-12, x-4, x-2, x, x+4, x+6, x+8 ]
[ x-3, x+1 ]
[ x-4, x, x+4 ]
[ x-12, x, x+8 ]
[ x-12, x-4, x, x+2, x+6, x+8 ]
[ x-16, x, x+8 ]

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