degree:2
 order:8
[ 2, 2, 1, 2 ][ 1, 0, 0, 0, 1, 1 ]

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

 minimal polynomial of other basis elements:
[x^3-4*x]
[x^2-1]
[x^5-6*x^3+8*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, 2, 0, 0, 0 ], [ 1, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 1 ], 
      [ 0, 0, 0, 0, 2 ], [ 0, 0, 1, 1, 0 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ], [ 1, 0, 0, 1, 0 ], 
      [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ] ], 
  [ [ 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, 2 ], [ 0, 0, 1, 1, 0 ], [ 0, 1, 0, 0, 1 ], 
      [ 0, 2, 0, 0, 0 ], [ 1, 0, 1, 0, 0 ] ] ]


 P-polynomial



 Q-polynomial