degree:12
 order:39
[ 12, 2, 6, 6, 12 ][ 6, 6, 4, 3, 0, 2, 0, 0, 3, 3 ]

minimal polynomial:[ x-12, x+6, x^2-x-3, x^2+2*x-12 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-x-2
x^3-5*x^2-9*x+18
x^3-5*x^2-9*x+18
x^6-5*x^5-95*x^4+36*x^3+1224*x^2-648*x-2592

 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, 12, 0, 0, 0, 0 ], [ 1, 2, 1, 3, 2, 3 ], [ 0, 6, 0, 0, 6, 0 ], 
      [ 0, 6, 0, 0, 0, 6 ], [ 0, 4, 2, 0, 0, 6 ], [ 0, 3, 0, 3, 3, 3 ] ], 
  [ [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 2 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1 ] ], 
  [ [ 0, 0, 0, 6, 0, 0 ], [ 0, 3, 0, 0, 0, 3 ], [ 0, 0, 0, 0, 0, 6 ], 
      [ 1, 0, 0, 2, 3, 0 ], [ 0, 0, 0, 3, 3, 0 ], [ 0, 3, 1, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 6, 0 ], [ 0, 2, 1, 0, 0, 3 ], [ 0, 6, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 3, 3, 0 ], [ 1, 0, 0, 3, 2, 0 ], [ 0, 3, 0, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 0, 0, 12 ], [ 0, 3, 0, 3, 3, 3 ], [ 0, 0, 0, 6, 0, 6 ], 
      [ 0, 6, 2, 0, 0, 4 ], [ 0, 6, 0, 0, 0, 6 ], [ 1, 3, 1, 2, 3, 2 ] ] ]


 Q-polynomial