degree:10
 order:44
[ 10, 10, 1, 2, 10, 10 ][ 5, 10, 0, 3, 0, 0, 0, 0, 5, 0, 0, 0, 2, 0, 5 ]
minimal polynomial:
[ x-10, x, x+10, x^2-2*x-10, x^2+2*x-10 ]1
[ x-10, x, x^2+2*x-10 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-10, x, x^2+2*x-10 ]
[ x-10, x, x+10, x^2-2*x-10, x^2+2*x-10 ]
 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, 5, 1, 0, 3, 0 ], [ 0, 5, 0, 0, 0, 0, 5 ], [ 0, 10, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 10, 0 ], [ 0, 3, 0, 0, 2, 0, 5 ], [ 0, 0, 5, 0, 0, 5, 0 ] ],
  [ [ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 5, 0, 0, 0, 0, 5 ], [ 1, 0, 3, 1, 0, 5, 0 ], [ 0, 0, 10, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 10 ], [ 0, 0, 5, 0, 0, 5, 0 ], [ 0, 5, 0, 0, 2, 0, 3 ] ],
  [ [ 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, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 2, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 10, 0 ], [ 0, 3, 0, 0, 2, 0, 5 ], [ 0, 0, 5, 0, 0, 5, 0 ], [ 0, 0, 0, 0, 0, 10, 0 ],
      [ 0, 10, 0, 0, 0, 0, 0 ], [ 1, 0, 5, 1, 0, 3, 0 ], [ 0, 5, 0, 0, 0, 0, 5 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 10 ], [ 0, 0, 5, 0, 0, 5, 0 ], [ 0, 5, 0, 0, 2, 0, 3 ], [ 0, 0, 0, 0, 0, 0, 10 ],
      [ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 5, 0, 0, 0, 0, 5 ], [ 1, 0, 3, 1, 0, 5, 0 ] ] ]