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