degree:2
 order:12
[ 2, 2, 1, 2, 2, 2 ][ 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1 ]

minimal polynomial:
[ x-2, x-1, x, x+1, x+2, x^2-3 ]1  
[ x-2, x-1, x+1, x+2 ]
[ x-1, x+1 ]
[ x-2, x, x+2 ]
[ x-2, x+1 ]
[ x-2, x-1, x, x+1, x+2, x^2-3 ]

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