degree:10
 order:56
[ 10, 10, 2, 3, 15, 15 ][ 4, 10, 0, 2, 0, 0, 10, 0, 2, 0, 0, 0, 0, 0, 8 ]
minimal polynomial:
[ x-10, x-6, x-4, x, x+4, x+6, x+10 ]
[ x-10, x-6, x, x+4 ]
[ x-2, x+1 ]
[ x-3, x, x+3 ]
[ x-15, x-1, x, x+9 ]
[ x-15, x-9, x-1, x, x+1, x+9, x+15 ]

 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, 2, 0, 3, 0 ], [ 0, 4, 0, 0, 3, 0, 3 ], [ 0, 10, 0, 0, 0, 0, 0 ],[ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 8 ], [ 0, 0, 2, 0, 0, 8, 0 ] ],
  [ [ 0, 0, 10, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 3, 0, 3 ], [ 1, 0, 4, 2, 0, 3, 0 ], [ 0, 0, 10, 0, 0, 0, 0 ],[ 0, 10, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 8, 0 ], [ 0, 2, 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, 15, 0 ], [ 0, 3, 0, 0, 0, 0, 12 ], [ 0, 0, 3, 0, 0, 12, 0 ], [ 0, 0, 0, 0, 0, 15, 0 ],[ 0, 0, 0, 0, 0, 0, 15 ], [ 1, 0, 8, 2, 0, 4, 0 ], [ 0, 8, 0, 0, 3, 0, 4 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 15 ], [ 0, 0, 3, 0, 0, 12, 0 ], [ 0, 3, 0, 0, 0, 0, 12 ], [ 0, 0, 0, 0, 0, 0, 15 ],[ 0, 0, 0, 0, 0, 15, 0 ], [ 0, 8, 0, 0, 3, 0, 4 ], [ 1, 0, 8, 2, 0, 4, 0 ] ] ]