degree:4
 order:20
[ 4, 4, 1, 2, 4, 4 ][ 2, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2 ]
minimal polynomial:
[ x-4, x, x+4, x^2-2*x-4, x^2+2*x-4 ]1        
[ x-4, x, x^2+2*x-4 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-4, x, x^2+2*x-4 ]
[ x-4, x, x+4, x^2-2*x-4, x^2+2*x-4 ]

 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, 4, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2 ], 
      [ 0, 4, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 2, 0, 2 ], 
      [ 0, 0, 2, 0, 0, 2, 0 ] ], 
  [ [ 0, 0, 4, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2 ], [ 1, 0, 0, 1, 0, 2, 0 ], 
      [ 0, 0, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 2, 0, 0, 2, 0 ], 
      [ 0, 2, 0, 0, 2, 0, 0 ] ], 
  [ [ 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, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 0, 2 ], 
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], 
      [ 0, 0, 2, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 2, 0, 2 ], [ 0, 0, 2, 0, 0, 2, 0 ], 
      [ 0, 0, 0, 0, 0, 4, 0 ], [ 0, 4, 0, 0, 0, 0, 0 ], [ 1, 0, 2, 1, 0, 0, 0 ], 
      [ 0, 2, 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 2, 0, 0, 2, 0 ], [ 0, 2, 0, 0, 2, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 0, 4 ], [ 0, 0, 4, 0, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 2 ],