degree:10
 order:48
[ 10, 10, 1, 2, 12, 12 ][ 2, 10, 0, 5, 0, 0, 10, 0, 5, 0, 0, 0, 0, 0, 5 ]
minimal polynomial:
[ x-10, x-5, x-2, x, x+2, x+5, x+10 ]
[ x-10, x-2, x, x+5 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-12, x-3, x, x+4 ]
[ x-12, x-4, x-3, x, x+3, x+4, x+12 ]
 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, 10, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 6, 0 ], [ 0, 2, 0, 0, 2, 0, 6 ], [ 0, 10, 0, 0, 0, 0, 0 ],
      [ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 5, 0, 0, 0, 0, 5 ], [ 0, 0, 5, 0, 0, 5, 0 ] ],
  [ [ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 0, 6 ], [ 1, 0, 2, 1, 0, 6, 0 ], [ 0, 0, 10, 0, 0, 0, 0 ],
      [ 0, 10, 0, 0, 0, 0, 0 ], [ 0, 0, 5, 0, 0, 5, 0 ], [ 0, 5, 0, 0, 0, 0, 5 ] ],
  [ [ 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, 12, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ], [ 0, 0, 6, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 0, 0, 0, 0, 0, 12 ], [ 1, 0, 5, 1, 0, 5, 0 ], [ 0, 5, 0, 0, 2, 0, 5 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 6, 0, 0, 6, 0 ], [ 0, 6, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 5, 0, 0, 2, 0, 5 ], [ 1, 0, 5, 1, 0, 5, 0 ] ] ]