degree:8
 order:25
[ 8, 2, 2, 4, 8 ][ 4, 0, 6, 3, 0, 0, 1, 2, 1, 0 ]

minimal polynomial:[ x-8, x+2, x^2-x-1, x^2+4*x-16 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-x^2-3*x+2
x^3-x^2-3*x+2
x^2-3*x-4
x^6-3*x^5-55*x^4+90*x^3+280*x^2-288*x-256

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


 Q-polynomial