degree:8
 order:30
[ 8, 2, 1, 2, 8, 8 ][ 4, 0, 0, 3, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 3 ]
minimal polynomial:
[ x-8, x-4, x-1, x, x+2, x+3, x+4 ]           
[ x-2, x-1, x+1, x+2 ]
[ x-1, x+1 ]
[ x-2, x+1 ]
[ x-8, x, x+2 ]
[ x-8, x-3, x-1, x, x+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, 8, 0, 0, 0, 0, 0 ], [ 1, 2, 1, 0, 0, 3, 1 ], [ 0, 4, 0, 0, 0, 4, 0 ], 
      [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 0, 0, 0, 0, 4, 4 ], [ 0, 3, 1, 0, 1, 0, 3 ], 
      [ 0, 1, 0, 1, 1, 3, 2 ] ], 
  [ [ 0, 0, 2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 0 ], 
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 1 ], 
      [ 0, 0, 0, 0, 0, 1, 1 ] ], 
  [ [ 0, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0 ], 
      [ 0, 1, 0, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1 ], [ 0, 0, 1, 1, 0, 0, 0 ], 
      [ 0, 0, 2, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0, 1 ], 
      [ 0, 1, 0, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 3, 1, 0, 1, 0, 3 ], [ 0, 4, 0, 0, 0, 0, 4 ], 
      [ 0, 0, 0, 0, 0, 8, 0 ], [ 0, 4, 0, 0, 0, 0, 4 ], [ 1, 0, 0, 1, 0, 6, 0 ], 
      [ 0, 3, 1, 0, 1, 0, 3 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 8 ], [ 0, 1, 0, 1, 1, 3, 2 ], [ 0, 0, 0, 0, 0, 4, 4 ], 
      [ 0, 8, 0, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 4, 0 ], [ 0, 3, 1, 0, 1, 0, 3 ], 
      [ 1, 2, 1, 0, 0, 3, 1 ] ] ]