degree:12
 order:28
[ 12, 2, 1, 12 ][ 6, 0, 5, 0, 1, 1 ]

minimal polynomial:[ x-12, x, x+2, x^2-12 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-4*x
x^2-1
x^5-10*x^4-36*x^3+120*x^2+288*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, 12, 0, 0, 0 ], [ 1, 5, 1, 0, 5 ], [ 0, 6, 0, 0, 6 ], [ 0, 0, 0, 0, 12 ], [ 0, 5, 1, 1, 5 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ], [ 1, 0, 0, 1, 0 ], [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 12 ], [ 0, 5, 1, 1, 5 ], [ 0, 6, 0, 0, 6 ], [ 0, 12, 0, 0, 0 ], [ 1, 5, 1, 0, 5 ] ] ]


 Q-polynomial