degree:8
 order:30
[ 8, 1, 4, 16 ][ 8, 0, 2, 0, 0, 2 ]

minimal polynomial:[ x-8, x-4, x, x+2, x+4 ]x^2-1
x^3-2*x^2-8*x
x^4-16*x^3-16*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, 1, 0, 4 ], [ 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 8 ], [ 0, 2, 0, 2, 4 ] ], 
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 4 ], [ 0, 0, 0, 4, 0 ], [ 1, 0, 1, 2, 0 ], [ 0, 2, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 16 ], [ 0, 4, 0, 4, 8 ], [ 0, 0, 0, 0, 16 ], [ 0, 8, 0, 0, 8 ], [ 1, 4, 1, 2, 8 ] ] ]