degree:12
 order:70
[ 12, 12, 1, 8, 12, 24 ][ 4, 0, 3, 1, 2, 0, 0, 4, 2, 0, 1, 0, 2, 2, 2 ]
minimal polynomial:
[ x-12, x-3, x-2, x, x+2, x+4, x+7 ]
[ x-12, x-8, x-2, x, x+2, x+6 ]
[ x-1, x+1 ]
[ x-8, x-4, x, x+2, x+6 ]
[ x-12, x-4, x-2, x, x+2, x+3, x+7 ]
[ x-24, x-10, x, 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, 12, 0, 0, 0, 0, 0 ], [ 1, 0, 4, 0, 2, 1, 4 ], [ 0, 4, 0, 0, 0, 4, 4 ], [ 0, 0, 0, 0, 0, 12, 0 ],
      [ 0, 3, 0, 0, 0, 3, 6 ], [ 0, 1, 4, 1, 2, 0, 4 ], [ 0, 2, 2, 0, 2, 2, 4 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 4, 4 ], [ 1, 0, 2, 1, 4, 0, 4 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 0, 6, 0, 0, 0, 6 ], [ 0, 4, 0, 0, 0, 4, 4 ], [ 0, 2, 2, 0, 2, 2, 4 ] ],
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ] ],
  [ [ 0, 0, 0, 0, 8, 0, 0 ], [ 0, 2, 0, 0, 0, 2, 4 ], [ 0, 0, 4, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 8, 0, 0 ],
      [ 1, 0, 0, 1, 0, 0, 6 ], [ 0, 2, 0, 0, 0, 2, 4 ], [ 0, 2, 2, 0, 2, 2, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 1, 4, 1, 2, 0, 4 ], [ 0, 4, 0, 0, 0, 4, 4 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 3, 0, 0, 0, 3, 6 ], [ 1, 0, 4, 0, 2, 1, 4 ], [ 0, 2, 2, 0, 2, 2, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 24 ], [ 0, 4, 4, 0, 4, 4, 8 ], [ 0, 4, 4, 0, 4, 4, 8 ], [ 0, 0, 0, 0, 0, 0, 24 ],
      [ 0, 6, 6, 0, 6, 6, 0 ], [ 0, 4, 4, 0, 4, 4, 8 ], [ 1, 4, 4, 1, 0, 4, 10 ] ] ]