degree:12
 order:35
[ 12, 2, 2, 6, 12 ][ 6, 0, 10, 5, 0, 0, 1, 2, 1, 0 ]

minimal polynomial:[ x-12, x+2, x^2-x-1, x^2+6*x-36 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-x^2-3*x+2
x^3-x^2-3*x+2
x^2-5*x-6
x^6-5*x^5-117*x^4+340*x^3+768*x^2-1080*x-864

 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, 0, 1, 0, 5, 5 ], [ 0, 6, 0, 0, 0, 6 ], 
      [ 0, 0, 0, 0, 6, 6 ], [ 0, 10, 0, 2, 0, 0 ], [ 0, 5, 1, 1, 0, 5 ] ], 
  [ [ 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, 6, 0 ], [ 0, 5, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 6 ], 
      [ 0, 6, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 5, 0 ], [ 0, 0, 1, 0, 0, 5 ] ], 
  [ [ 0, 0, 0, 0, 0, 12 ], [ 0, 5, 1, 1, 0, 5 ], [ 0, 6, 0, 0, 6, 0 ], 
      [ 0, 6, 0, 0, 0, 6 ], [ 0, 0, 2, 0, 0, 10 ], [ 1, 5, 0, 1, 5, 0 ] ] ]


 Q-polynomial