degree:6
 order:32
[ 6, 6, 1, 9, 9 ][ 1, 0, 2, 0, 6, 0, 2, 0, 0, 2 ]

minimal polynomial:[ x-6, x-2, x, x+2, x^2-12 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-6*x^5-16*x^4+96*x^3+48*x^2-288*x
x^2-1
x^4-10*x^3+90*x-81
x^4-10*x^3+90*x-81

 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, 1, 1, 0, 3, 0 ], [ 0, 1, 1, 1, 0, 3 ], 
      [ 0, 0, 6, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 2 ], [ 0, 0, 2, 0, 2, 2 ] ], 
  [ [ 0, 0, 6, 0, 0, 0 ], [ 0, 1, 1, 1, 0, 3 ], [ 1, 1, 1, 0, 3, 0 ], 
      [ 0, 6, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 2, 2 ], [ 0, 2, 0, 0, 2, 2 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 9, 0 ], [ 0, 3, 0, 0, 3, 3 ], [ 0, 0, 3, 0, 3, 3 ], 
      [ 0, 0, 0, 0, 0, 9 ], [ 1, 2, 2, 0, 2, 2 ], [ 0, 2, 2, 1, 2, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 9 ], [ 0, 0, 3, 0, 3, 3 ], [ 0, 3, 0, 0, 3, 3 ], 
      [ 0, 0, 0, 0, 9, 0 ], [ 0, 2, 2, 1, 2, 2 ], [ 1, 2, 2, 0, 2, 2 ] ] ]


 Q-polynomial