degree:10
 order:54
[ 10, 6, 2, 5, 10, 20 ][ 5, 10, 0, 2, 1, 0, 6, 0, 0, 0, 0, 0, 0, 1, 4 ] 
minimal polynomial:
[ x-10, x-6, x-4, x, x+3, x+5, x+8 ]
[ x-6, x, x+3 ]
[ x-2, x+1 ]
[ x-5, x-3, x, x+4 ]
[ x-10, x-1, x, x+6 ]
[ x-20, x-6, x-2, x, x+1, x+10, 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, 3, 2, 0, 2, 2 ], [ 0, 5, 0, 0, 5, 0, 0 ], [ 0, 10, 0, 0, 0, 0, 0 ],[ 0, 0, 6, 0, 0, 0, 4 ], [ 0, 2, 0, 0, 0, 0, 8 ], [ 0, 1, 0, 0, 1, 4, 4 ] ],
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 3, 0, 0 ], [ 1, 0, 3, 2, 0, 0, 0 ], [ 0, 0, 6, 0, 0, 0, 0 ],[ 0, 6, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 3, 3 ] ],
  [ [ 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, 5, 0, 0 ], [ 0, 0, 3, 0, 0, 0, 2 ], [ 0, 5, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 5, 0, 0 ],[ 1, 0, 0, 2, 0, 2, 0 ], [ 0, 0, 0, 0, 1, 4, 0 ], [ 0, 1, 0, 0, 0, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 10, 0 ], [ 0, 2, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 0, 10 ], [ 0, 0, 0, 0, 0, 10, 0 ],[ 0, 0, 0, 0, 2, 8, 0 ], [ 1, 0, 0, 2, 4, 3, 0 ], [ 0, 4, 3, 0, 0, 0, 3 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 20 ], [ 0, 2, 0, 0, 2, 8, 8 ], [ 0, 0, 0, 0, 0, 10, 10 ], [ 0, 0, 0, 0, 0, 0, 20 ],[ 0, 4, 0, 0, 0, 0, 16 ], [ 0, 8, 6, 0, 0, 0, 6 ], [ 1, 4, 3, 2, 4, 3, 3 ] ] ]