degree:8
 order:52
 [ 8, 8, 1, 2, 16, 16 ][ 4, 8, 0, 1, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 7 ]
minimal polynomial:
[ x-8, x, x+8, x^2-3*x-14, x^2+3*x-14 ]1
[ x-8, x, x^2-3*x-14 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-16, x, x^2+7*x-4 ]
[ x-16, x, x+16, x^2-7*x-4, x^2+7*x-4 ]
 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, 4, 1, 0, 2, 0 ], [ 0, 4, 0, 0, 2, 0, 2 ], [ 0, 8, 0, 0, 0, 0, 0 ],
      [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 7 ], [ 0, 0, 1, 0, 0, 7, 0 ] ],
  [ [ 0, 0, 8, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 2, 0, 2 ], [ 1, 0, 4, 1, 0, 2, 0 ], [ 0, 0, 8, 0, 0, 0, 0 ],
      [ 0, 8, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 7, 0 ], [ 0, 1, 0, 0, 0, 0, 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, 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, 16, 0 ], [ 0, 2, 0, 0, 0, 0, 14 ], [ 0, 0, 2, 0, 0, 14, 0 ], [ 0, 0, 0, 0, 0, 16, 0 ],
      [ 0, 0, 0, 0, 0, 0, 16 ], [ 1, 0, 7, 1, 0, 7, 0 ], [ 0, 7, 0, 0, 2, 0, 7 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 16 ], [ 0, 0, 2, 0, 0, 14, 0 ], [ 0, 2, 0, 0, 0, 0, 14 ], [ 0, 0, 0, 0, 0, 0, 16 ],
      [ 0, 0, 0, 0, 0, 16, 0 ], [ 0, 7, 0, 0, 2, 0, 7 ], [ 1, 0, 7, 1, 0, 7, 0 ] ] ]