degree:10
 order:64
[ 10, 10, 1, 10, 12, 20 ][ 4, 10, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 2, 6 ]
minimal polynomial:
[ x-10, x-6, x, x+6, x+10, x^2-12 ]1
[ x-10, x, x+2 ]
[ x-1, x+1 ]
[ x-10, x-6, x, x+6, x+10, x^2-12 ]
[ x-12, x, x+12 ]
[ x-20, x, x+12 ]

 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, 10, 0, 0, 0, 0, 0 ], [ 1, 0, 4, 1, 0, 0, 4 ], [ 0, 4, 0, 0, 6, 0, 0 ], [ 0, 10, 0, 0, 0, 0, 0 ],[ 0, 0, 6, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 10 ], [ 0, 2, 0, 0, 2, 6, 0 ] ],
  [ [ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 6, 0, 0 ], [ 1, 0, 8, 1, 0, 0, 0 ], [ 0, 0, 10, 0, 0, 0, 0 ],[ 0, 6, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 0, 10, 0 ], [ 0, 0, 0, 0, 0, 0, 10 ] ],
  [ [ 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, 10, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 4 ], [ 0, 6, 0, 0, 4, 0, 0 ], [ 0, 0, 0, 0, 10, 0, 0 ],[ 1, 0, 4, 1, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 0, 10 ], [ 0, 2, 0, 0, 2, 6, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 12, 0 ],[ 0, 0, 0, 0, 0, 0, 12 ], [ 1, 0, 10, 1, 0, 0, 0 ], [ 0, 6, 0, 0, 6, 0, 0 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 20 ], [ 0, 4, 0, 0, 4, 12, 0 ], [ 0, 0, 0, 0, 0, 0, 20 ], [ 0, 0, 0, 0, 0, 0, 20 ],[ 0, 4, 0, 0, 4, 12, 0 ], [ 0, 10, 0, 0, 10, 0, 0 ], [ 1, 0, 10, 1, 0, 0, 8 ] ] ]