degree:3
 order:28
[ 3, 6, 6, 12 ][ 1, 0, 0, 0, 1, 1 ]

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

 minimal polynomial of other basis elements:
[ x-6, x-1, x+2, x^2-8 ]
[ x-6, x+2, x^2-4*x+2 ]
[ x-12, x-4, x+2 ]

 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, 1, 2 ], [ 0, 0, 1, 1, 1 ] ], 
  [ [ 0, 0, 6, 0, 0 ], [ 0, 2, 0, 0, 4 ], [ 1, 0, 1, 2, 2 ], 
      [ 0, 0, 2, 0, 4 ], [ 0, 1, 1, 2, 2 ] ], 
  [ [ 0, 0, 0, 6, 0 ], [ 0, 0, 0, 2, 4 ], [ 0, 0, 2, 0, 4 ], 
      [ 1, 1, 0, 2, 2 ], [ 0, 1, 2, 1, 2 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 0, 4, 4, 4 ], [ 0, 2, 2, 4, 4 ], 
      [ 0, 2, 4, 2, 4 ], [ 1, 1, 2, 2, 6 ] ] ]


 P-polynomial