degree:8
 order:36
[ 8, 1, 10, 16 ][ 8, 0, 3, 0, 0, 5 ]

minimal polynomial:[ x-8, x, x+8, x^2-10 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-1
x^5-110*x^3+1000*x
x^3-14*x^2-32*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, 0, 1, 0, 6 ], [ 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 8 ], [ 0, 3, 0, 5, 0 ] ], 
  [ [ 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, 10, 0 ], [ 0, 0, 0, 0, 10 ], [ 0, 0, 0, 10, 0 ], [ 1, 0, 1, 0, 8 ], [ 0, 5, 0, 5, 0 ] ], 
  [ [ 0, 0, 0, 0, 16 ], [ 0, 6, 0, 10, 0 ], [ 0, 0, 0, 0, 16 ], [ 0, 8, 0, 8, 0 ], [ 1, 0, 1, 0, 14 ] ] ]