degree:8
 order:36
 [ 8, 8, 1, 2, 8, 8 ][ 4, 8, 0, 2, 0, 0, 8, 0, 2, 0, 0, 0, 0, 0, 6 ]
minimal polynomial:
[ x-8, x, x+8, x^2-2*x-12, x^2+2*x-12 ]1
[ x-8, x, x^2-2*x-12 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-8, x, x^2+6*x-4 ]
[ x-8, x, x+8, x^2-6*x-4, x^2+6*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, 2, 0, 0, 0, 0, 6 ], [ 0, 0, 2, 0, 0, 6, 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, 2, 0, 0, 6, 0 ], [ 0, 2, 0, 0, 0, 0, 6 ] ],
  [ [ 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, 8, 0 ], [ 0, 2, 0, 0, 0, 0, 6 ], [ 0, 0, 2, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 0, 8, 0 ],
      [ 0, 0, 0, 0, 0, 0, 8 ], [ 1, 0, 6, 1, 0, 0, 0 ], [ 0, 6, 0, 0, 2, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 2, 0, 0, 6, 0 ], [ 0, 2, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 0, 8 ],
      [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 6, 0, 0, 2, 0, 0 ], [ 1, 0, 6, 1, 0, 0, 0 ] ] ]