degree:6
 order:26
[ 6, 6, 1, 6, 6 ][ 3, 0, 0, 2, 0, 3, 0, 0, 1, 3 ]

minimal polynomial:[ x-6, x+6, x^2-x-3, x^2+x-3 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-5*x^2-9*x+18
x^2-1
x^6-43*x^4+261*x^2-324
x^3-5*x^2-9*x+18

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


 Q-polynomial