degree:12
 order:36
[ 12, 2, 6, 15 ][ 6, 0, 8, 2, 0, 4 ]

minimal polynomial:[ x-12, x, x+12, x^2-6 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-x-2
x^5-42*x^3+216*x
x^3-12*x^2-45*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, 0, 1, 0, 10 ], [ 0, 6, 0, 6, 0 ], [ 0, 0, 2, 0, 10 ], [ 0, 8, 0, 4, 0 ] ], 
  [ [ 0, 0, 2, 0, 0 ], [ 0, 1, 0, 1, 0 ], [ 1, 0, 1, 0, 0 ], [ 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 6, 0 ], [ 0, 0, 1, 0, 5 ], [ 0, 6, 0, 0, 0 ], [ 1, 0, 0, 0, 5 ], [ 0, 4, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 15 ], [ 0, 10, 0, 5, 0 ], [ 0, 0, 0, 0, 15 ], [ 0, 10, 0, 5, 0 ], [ 1, 0, 2, 0, 12 ] ] 
 ]


 Q-polynomial