degree:2
 order:9
[ 2, 2, 2, 2 ][ 1, 0, 0, 0, 1, 1 ]

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

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

 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, 1, 1 ], [ 0, 0, 1, 1, 0 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ], [ 1, 0, 0, 1, 0 ], 
      [ 0, 0, 1, 0, 1 ], [ 0, 1, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 2, 0 ], [ 0, 0, 0, 1, 1 ], [ 0, 0, 1, 0, 1 ], 
      [ 1, 1, 0, 0, 0 ], [ 0, 1, 1, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2 ], [ 0, 0, 1, 1, 0 ], [ 0, 1, 0, 1, 0 ], 
      [ 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 1 ] ] ]


 P-polynomial