degree:6
 order:33
[ 6, 6, 2, 6, 6, 6 ][ 3, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3 ]
minimal polynomial:
[ x-6, x, x^5+3*x^4-36*x^3-81*x^2+243*x+243 ]1        
[ x-6, x, x^5+3*x^4-36*x^3-81*x^2+243*x+243 ]
[ x-2, x+1 ]
[ x-6, x, x^5+3*x^4-36*x^3-81*x^2+243*x+243 ]
[ x-6, x, x^5+3*x^4-36*x^3-81*x^2+243*x+243 ]
[ x-6, x, x^5+3*x^4-36*x^3-81*x^2+243*x+243 ]

 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, 0, 3, 2, 0, 0, 0 ], [ 0, 3, 0, 0, 3, 0, 0 ], 
      [ 0, 6, 0, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 3, 0, 3 ], 
      [ 0, 0, 0, 0, 0, 3, 3 ] ], 
  [ [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 3, 0, 0 ], [ 1, 0, 0, 2, 0, 3, 0 ], 
      [ 0, 0, 6, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 0, 3 ], [ 0, 0, 3, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 3, 3, 0 ] ], 
  [ [ 0, 0, 0, 2, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0, 0 ], 
      [ 1, 0, 0, 1, 0, 0, 0 ], [ 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, 6, 0, 0 ], [ 0, 0, 3, 0, 0, 3, 0 ], [ 0, 3, 0, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 6, 0, 0 ], [ 1, 0, 0, 2, 0, 0, 3 ], [ 0, 3, 0, 0, 0, 3, 0 ], 
      [ 0, 0, 3, 0, 3, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 0, 0, 0, 3, 0, 3 ], [ 0, 0, 3, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 0, 6, 0 ], [ 0, 3, 0, 0, 0, 3, 0 ], [ 1, 0, 0, 2, 3, 0, 0 ], 
      [ 0, 3, 3, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 0, 0, 0, 3, 3 ], [ 0, 0, 0, 0, 3, 3, 0 ], 
      [ 0, 0, 0, 0, 0, 0, 6 ], [ 0, 0, 3, 0, 3, 0, 0 ], [ 0, 3, 3, 0, 0, 0, 0 ], 
      [ 1, 3, 0, 2, 0, 0, 0 ] ] ]