degree:6
 order:20
[ 6, 2, 2, 3, 6 ][ 3, 0, 4, 2, 0, 0, 1, 2, 1, 0 ]

minimal polynomial:[ x-6, x+2, x^2-x-1, x^2+3*x-9 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-x^2-3*x+2
x^3-x^2-3*x+2
x^2-2*x-3
x^6-2*x^5-33*x^4+34*x^3+141*x^2-108*x-108

 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, 1, 0, 2, 2 ], [ 0, 3, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 3, 3 ], [ 0, 4, 0, 2, 0, 0 ], [ 0, 2, 1, 1, 0, 2 ] ], 
  [ [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ], [ 1, 0, 0, 1, 0, 0 ], 
      [ 0, 0, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 2 ], [ 0, 1, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 1, 1 ], [ 0, 0, 1, 1, 0, 0 ], 
      [ 1, 0, 1, 0, 0, 0 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 3, 0 ], [ 0, 2, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 3 ], 
      [ 0, 3, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 2, 0 ], [ 0, 0, 1, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 6 ], [ 0, 2, 1, 1, 0, 2 ], [ 0, 3, 0, 0, 3, 0 ], 
      [ 0, 3, 0, 0, 0, 3 ], [ 0, 0, 2, 0, 0, 4 ], [ 1, 2, 0, 1, 2, 0 ] ] ]


 Q-polynomial