degree:10
 order:70
[ 10, 10, 4, 5, 20, 20 ][ 1, 10, 0, 2, 0, 0, 10, 0, 2, 0, 0, 0, 0, 0, 8 ]
minimal polynomial:
[ x-10, x, x+10, x^2-x-40, x^2+x-40 ]1
[ x-10, x, x^2+x-40 ]
[ x-4, x+1 ]
[ x-5, x, x+5 ]
[ x-20, x, x^2+9*x-20 ]
[ x-20, x, x+20, x^2-9*x-20, x^2+9*x-20 ]

 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, 1, 4, 0, 4, 0 ], [ 0, 1, 0, 0, 5, 0, 4 ], [ 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, 1, 0, 0, 5, 0, 4 ], [ 1, 0, 1, 4, 0, 4, 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, 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, 20, 0 ], [ 0, 4, 0, 0, 0, 0, 16 ], [ 0, 0, 4, 0, 0, 16, 0 ], [ 0, 0, 0, 0, 0, 20, 0 ],[ 0, 0, 0, 0, 0, 0, 20 ], [ 1, 0, 8, 4, 0, 7, 0 ], [ 0, 8, 0, 0, 5, 0, 7 ] ],
  [ [ 0, 0, 0, 0, 0, 0, 20 ], [ 0, 0, 4, 0, 0, 16, 0 ], [ 0, 4, 0, 0, 0, 0, 16 ], [ 0, 0, 0, 0, 0, 0, 20 ],[ 0, 0, 0, 0, 0, 20, 0 ], [ 0, 8, 0, 0, 5, 0, 7 ], [ 1, 0, 8, 4, 0, 7, 0 ] ] ]