degree:3
 order:18
[ 3, 6, 2, 6 ][ 1, 0, 0, 0, 2, 1 ]

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

 minimal polynomial of other basis elements:
[ x-6, x, x+3 ]
[ x-2, x+1 ]
[ x-6, x, x+6, x^2-3 ]

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


 P-polynomial



 Q-polynomial