degree:8
 order:34
[ 8, 8, 1, 8, 8 ][ 4, 0, 0, 3, 0, 4, 0, 0, 1, 4 ]

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

 minimal polynomial of other basis elements:
 x^3-7*x^2-12*x+32
x^2-1
x^6-73*x^4+592*x^2-1024
x^3-7*x^2-12*x+32

 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, 0, 4, 0, 0, 3 ], [ 0, 4, 0, 0, 4, 0 ], 
      [ 0, 0, 0, 0, 0, 8 ], [ 0, 0, 4, 0, 0, 4 ], [ 0, 3, 0, 1, 4, 0 ] ], 
  [ [ 0, 0, 8, 0, 0, 0 ], [ 0, 4, 0, 0, 4, 0 ], [ 1, 0, 3, 0, 0, 4 ], 
      [ 0, 0, 0, 0, 8, 0 ], [ 0, 4, 0, 1, 3, 0 ], [ 0, 0, 4, 0, 0, 4 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 8, 0 ], [ 0, 0, 4, 0, 0, 4 ], [ 0, 4, 0, 1, 3, 0 ], 
      [ 0, 0, 8, 0, 0, 0 ], [ 1, 0, 3, 0, 0, 4 ], [ 0, 4, 0, 0, 4, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 8 ], [ 0, 3, 0, 1, 4, 0 ], [ 0, 0, 4, 0, 0, 4 ], 
      [ 0, 8, 0, 0, 0, 0 ], [ 0, 4, 0, 0, 4, 0 ], [ 1, 0, 4, 0, 0, 3 ] ] ]


 Q-polynomial