degree:5
 order:24
[ 5, 5, 1, 2, 5, 5 ][ 3, 5, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 3 ]
minimal polynomial:
[ x-5, x-4, x-1, x, x+1, x+4, x+5 ]           
[ x-5, x-2, x, x+3 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-5, x-3, x-2, x, x+2, x+3, x+5 ]
[ x-5, x-1, x, 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, 5, 0, 0, 0, 0, 0 ], [ 1, 0, 3, 1, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 2, 0 ], 
      [ 0, 5, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 5 ], [ 0, 0, 2, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 2, 3, 0 ] ], 
  [ [ 0, 0, 5, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 2, 0 ], [ 1, 0, 1, 1, 0, 0, 2 ], 
      [ 0, 0, 5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 5, 0 ], [ 0, 2, 0, 0, 2, 1, 0 ], 
      [ 0, 0, 2, 0, 0, 0, 3 ] ], 
  [ [ 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, 0, 2 ], [ 0, 0, 0, 0, 0, 2, 0 ], 
      [ 0, 0, 0, 0, 2, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], 
      [ 0, 2, 0, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 5, 0 ], [ 0, 0, 2, 0, 0, 0, 3 ], [ 0, 2, 0, 0, 2, 1, 0 ], 
      [ 0, 0, 0, 0, 0, 5, 0 ], [ 0, 0, 5, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 2 ], 
      [ 0, 3, 0, 0, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 5 ], [ 0, 0, 0, 0, 2, 3, 0 ], [ 0, 0, 2, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 0, 0, 5 ], [ 0, 5, 0, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 2, 0 ], 
      [ 1, 0, 3, 1, 0, 0, 0 ] ] ]