degree:3
 order:16
[ 3, 6, 1, 2, 3 ][ 1, 0, 0, 0, 0, 3, 2, 0, 1, 0 ]

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

 minimal polynomial of other basis elements:
 x^3-4*x^2-12*x
x^2-1
x^3-4*x
x^6-13*x^4+39*x^2-27

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


 Q-polynomial