degree:8
 order:24
[ 8, 6, 1, 8 ][ 4, 0, 2, 0, 3, 1 ]

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

 minimal polynomial of other basis elements:
 x^3-4*x^2-12*x
x^2-1
x^5-4*x^4-40*x^3+32*x^2+256*x

 SITA:
[ [ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 8, 0, 0, 0 ], [ 1, 2, 3, 0, 2 ], [ 0, 4, 0, 0, 4 ], [ 0, 0, 0, 0, 8 ], [ 0, 2, 3, 1, 2 ] ], 
  [ [ 0, 0, 6, 0, 0 ], [ 0, 3, 0, 0, 3 ], [ 1, 0, 4, 1, 0 ], [ 0, 0, 6, 0, 0 ], [ 0, 3, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 8 ], [ 0, 2, 3, 1, 2 ], [ 0, 4, 0, 0, 4 ], [ 0, 8, 0, 0, 0 ], [ 1, 2, 3, 0, 2 ] ] ]


 Q-polynomial