degree:8
 order:30
[ 8, 8, 1, 4, 4, 4 ][ 3, 0, 4, 2, 2, 8, 2, 2, 4, 0, 0, 0, 2, 0, 2 ]
minimal polynomial:
[ x-8, x-2, x-1, x, x+2, x+4, x+5 ]
[ x-8, x-5, x-1, x, x+2, x+4 ]
[ x-1, x+1 ]
[ x-4, x-1, x+1, x+4 ]
[ x-4, x, x+2 ]
[ x-4, x+1 ]

 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, 8, 0, 0, 0, 0, 0 ], [ 1, 0, 3, 0, 2, 1, 1 ], [ 0, 3, 0, 1, 1, 1, 2 ],
      [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 4, 2, 0, 0, 2, 0 ], [ 0, 2, 2, 0, 2, 0, 2 ],
      [ 0, 2, 4, 0, 0, 2, 0 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 3, 0, 1, 1, 1, 2 ], [ 1, 0, 3, 0, 2, 1, 1 ],
      [ 0, 8, 0, 0, 0, 0, 0 ], [ 0, 2, 4, 0, 0, 2, 0 ], [ 0, 2, 2, 0, 2, 0, 2 ],
      [ 0, 4, 2, 0, 0, 2, 0 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ],
      [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 2, 1, 0, 0, 1, 0 ], [ 0, 1, 2, 0, 0, 1, 0 ],
      [ 0, 0, 0, 0, 0, 0, 4 ], [ 1, 0, 0, 0, 0, 0, 3 ], [ 0, 2, 2, 0, 0, 0, 0 ],
      [ 0, 0, 0, 1, 3, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 1, 1, 0, 1, 0, 1 ], [ 0, 1, 1, 0, 1, 0, 1 ],
      [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 2, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 2, 0 ],
      [ 0, 2, 2, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 1, 2, 0, 0, 1, 0 ], [ 0, 2, 1, 0, 0, 1, 0 ],
      [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 1, 3, 0, 0 ], [ 0, 2, 2, 0, 0, 0, 0 ],
      [ 1, 0, 0, 0, 0, 0, 3 ] ] ]