degree:12
 order:70
[ 12, 12, 4, 5, 18, 18 ][ 1, 12, 0, 0, 4, 0, 12, 4, 0, 0, 0, 0, 0, 0, 8 ]
minimal polynomial:
[ x-12, x-8, x-5, x, x+5, x+8, x+12 ]
[ x-12, x-5, x, x+8 ]
[ x-4, x+1 ]
[ x-5, x, x+5 ]
[ x-18, x-10, x-3, x, x+3, x+10, x+18 ]
[ x-18, x-3, x, x+10 ]

 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, 1, 4, 0, 0, 6 ], [ 0, 1, 0, 0, 5, 6, 0 ], [ 0, 12, 0, 0, 0, 0, 0 ],
      [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 0, 8 ], [ 0, 4, 0, 0, 0, 8, 0 ] ],
  [ [ 0, 0, 12, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 5, 6, 0 ], [ 1, 0, 1, 4, 0, 0, 6 ], [ 0, 0, 12, 0, 0, 0, 0 ],
      [ 0, 12, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 8, 0 ], [ 0, 0, 4, 0, 0, 0, 8 ] ],
  [ [ 0, 0, 0, 4, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 0, 0 ], [ 1, 0, 0, 3, 0, 0, 0 ],
      [ 0, 0, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 5, 0, 0 ], [ 0, 0, 5, 0, 0, 0, 0 ], [ 0, 5, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 5, 0, 0 ],
      [ 1, 0, 0, 4, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 5 ], [ 0, 0, 0, 0, 0, 5, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 18, 0 ], [ 0, 0, 6, 0, 0, 0, 12 ], [ 0, 6, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 18, 0 ],
      [ 0, 0, 0, 0, 0, 0, 18 ], [ 1, 0, 8, 4, 0, 0, 5 ], [ 0, 8, 0, 0, 5, 5, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 18 ], [ 0, 6, 0, 0, 0, 12, 0 ], [ 0, 0, 6, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 0, 0, 18 ],
      [ 0, 0, 0, 0, 0, 18, 0 ], [ 0, 8, 0, 0, 5, 5, 0 ], [ 1, 0, 8, 4, 0, 0, 5 ] ] ]