degree:11
 order:48
[ 11, 22, 1, 2, 11 ][ 5, 0, 0, 0, 0, 11, 10, 0, 1, 0 ]

minimal polynomial:[ x-11, x-1, x+1, x+11, x^2-11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-20*x^2-44*x
x^2-1
x^3-4*x
x^6-133*x^4+1463*x^2-1331

 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, 11, 0, 0, 0, 0 ], [ 1, 0, 10, 0, 0, 0 ], [ 0, 5, 0, 0, 1, 5 ], 
      [ 0, 0, 0, 0, 0, 11 ], [ 0, 0, 11, 0, 0, 0 ], [ 0, 0, 10, 1, 0, 0 ] ], 
  [ [ 0, 0, 22, 0, 0, 0 ], [ 0, 10, 0, 0, 2, 10 ], [ 1, 0, 20, 1, 0, 0 ], 
      [ 0, 0, 22, 0, 0, 0 ], [ 0, 11, 0, 0, 0, 11 ], [ 0, 10, 0, 0, 2, 10 ] ],
  [ [ 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, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 0, 2, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 11 ], [ 0, 0, 10, 1, 0, 0 ], [ 0, 5, 0, 0, 1, 5 ], 
      [ 0, 11, 0, 0, 0, 0 ], [ 0, 0, 11, 0, 0, 0 ], [ 1, 0, 10, 0, 0, 0 ] ] ]


 Q-polynomial