degree:6
 order:40
[ 6, 24, 1, 2, 6 ][ 1, 0, 3, 0, 0, 0, 4, 0, 1, 1 ]

minimal polynomial:[ x-6, x-2, x, x+4, x^2-6 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^4-20*x^3-128*x^2+768*x
x^2-1
x^3-4*x
x^6-4*x^5-26*x^4+72*x^3+120*x^2-288*x

 SITA:
[ [ [ 1, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 6, 0, 0, 0, 0 ], [ 1, 0, 4, 0, 1, 0 ], [ 0, 1, 4, 0, 0, 1 ], 
      [ 0, 0, 0, 0, 0, 6 ], [ 0, 3, 0, 0, 0, 3 ], [ 0, 0, 4, 1, 1, 0 ] ], 
  [ [ 0, 0, 24, 0, 0, 0 ], [ 0, 4, 16, 0, 0, 4 ], [ 1, 4, 12, 1, 2, 4 ], 
      [ 0, 0, 24, 0, 0, 0 ], [ 0, 0, 24, 0, 0, 0 ], [ 0, 4, 16, 0, 0, 4 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 1, 0, 0, 0, 1 ], [ 0, 0, 2, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 0, 6 ], [ 0, 0, 4, 1, 1, 0 ], [ 0, 1, 4, 0, 0, 1 ], 
      [ 0, 6, 0, 0, 0, 0 ], [ 0, 3, 0, 0, 0, 3 ], [ 1, 0, 4, 0, 1, 0 ] ] ]


 Q-polynomial