degree:9
 order:60
 [ 9, 9, 2, 3, 18, 18 ][ 4, 9, 0, 1, 0, 0, 9, 0, 1, 0, 0, 0, 0, 0, 8 ]
minimal polynomial:
[ x-9, x, x+9, x^2-3*x-24, x^2+3*x-24 ]1
[ x-9, x, x^2-3*x-24 ]
[ x-2, x+1 ]
[ x-3, x, x+3 ]
[ x-18, x, x^2+9*x-6 ]
[ x-18, x, x+18, x^2-9*x-6, x^2+9*x-6 ]
 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, 9, 0, 0, 0, 0, 0 ], [ 1, 0, 4, 2, 0, 2, 0 ], [ 0, 4, 0, 0, 3, 0, 2 ], [ 0, 9, 0, 0, 0, 0, 0 ],
      [ 0, 0, 9, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 8 ], [ 0, 0, 1, 0, 0, 8, 0 ] ],
  [ [ 0, 0, 9, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 3, 0, 2 ], [ 1, 0, 4, 2, 0, 2, 0 ], [ 0, 0, 9, 0, 0, 0, 0 ],
      [ 0, 9, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 8, 0 ], [ 0, 1, 0, 0, 0, 0, 8 ] ],
  [ [ 0, 0, 0, 2, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ],
      [ 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, 3, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 3, 0, 0 ],
      [ 1, 0, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 0, 0, 3, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 18, 0 ], [ 0, 2, 0, 0, 0, 0, 16 ], [ 0, 0, 2, 0, 0, 16, 0 ], [ 0, 0, 0, 0, 0, 18, 0 ],
      [ 0, 0, 0, 0, 0, 0, 18 ], [ 1, 0, 8, 2, 0, 7, 0 ], [ 0, 8, 0, 0, 3, 0, 7 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 18 ], [ 0, 0, 2, 0, 0, 16, 0 ], [ 0, 2, 0, 0, 0, 0, 16 ], [ 0, 0, 0, 0, 0, 0, 18 ],
      [ 0, 0, 0, 0, 0, 18, 0 ], [ 0, 8, 0, 0, 3, 0, 7 ], [ 1, 0, 8, 2, 0, 7, 0 ] ] ]