degree:8
 order:36
[ 8, 8, 1, 2, 16 ][ 1, 0, 4, 2, 8, 4, 2, 0, 0, 0 ]

minimal polynomial:[ x-8, x-2, x, x+4, x^2-8 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-6*x^5-32*x^4+112*x^3+192*x^2-512*x
x^2-1
x^3-4*x
x^4-12*x^3-96*x^2+512*x

 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, 8, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 4 ], [ 0, 1, 1, 1, 1, 4 ], 
      [ 0, 0, 8, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 0 ], [ 0, 2, 2, 0, 0, 4 ] ], 
  [ [ 0, 0, 8, 0, 0, 0 ], [ 0, 1, 1, 1, 1, 4 ], [ 1, 1, 1, 0, 1, 4 ], 
      [ 0, 8, 0, 0, 0, 0 ], [ 0, 4, 4, 0, 0, 0 ], [ 0, 2, 2, 0, 0, 4 ] ], 
  [ [ 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, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 1, 1, 0, 0, 0 ], [ 0, 1, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 16 ], [ 0, 4, 4, 0, 0, 8 ], [ 0, 4, 4, 0, 0, 8 ], 
      [ 0, 0, 0, 0, 0, 16 ], [ 0, 0, 0, 0, 0, 16 ], [ 1, 4, 4, 1, 2, 4 ] ] ]


 Q-polynomial