degree:8
 order:28
[  8, 3, 8, 8 ][ 8, 4, 0, 0, 0, 4 ]

minimal polynomial:[ x-8, x, x^3+4*x^2-32*x-64 ]
 Galois type:1

 minimal polynomial of other basis elements:
[ x-3, x+1 ]
[ x-8, x, x^3+4*x^2-32*x-64 ]
[ x-8, x, x^3+4*x^2-32*x-64 ]

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