degree:6
 order:40
[ 6, 6, 1, 6, 8, 12 ][ 2, 6, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 3, 2 ]
minimal polynomial:
[ x-6, x, x+6, x^2-12, x^2-6 ]1
[ x-6, x-2, x, x+4 ]
[ x-1, x+1 ]
[ x-6, x, x+6, x^2-12, x^2-6 ]
[ x-8, x, x+8, x^2-24 ]
[ x-12, x-2, x, 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, 6, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 0, 2 ], [ 0, 2, 0, 0, 0, 4, 0 ], [ 0, 6, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 3, 0, 0, 0, 3 ], [ 0, 1, 0, 0, 3, 2, 0 ] ],
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 4, 0 ], [ 1, 0, 0, 1, 0, 0, 4 ], [ 0, 0, 6, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 2, 4, 0 ], [ 0, 3, 0, 0, 3, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 4 ] ],
  [ [ 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, 6, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 2, 4, 0 ], [ 0, 0, 0, 0, 6, 0, 0 ],
      [ 1, 0, 2, 1, 0, 0, 2 ], [ 0, 0, 3, 0, 0, 0, 3 ], [ 0, 3, 0, 0, 1, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 0, 4, 0, 0, 0, 4 ], [ 0, 4, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 8, 0 ],
      [ 0, 0, 4, 0, 0, 0, 4 ], [ 1, 0, 0, 1, 0, 0, 6 ], [ 0, 2, 0, 0, 2, 4, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 2, 0, 0, 6, 4, 0 ], [ 0, 0, 4, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 12 ],
      [ 0, 6, 0, 0, 2, 4, 0 ], [ 0, 3, 0, 0, 3, 6, 0 ], [ 1, 0, 4, 1, 0, 0, 6 ] ] ]