degree:11
 order:60
[ 11, 22, 2, 2, 22 ][ 4, 0, 0, 0, 0, 11, 4, 0, 1, 0 ]

minimal polynomial:[ x-11, x+1, x^2-8*x+11, x^2+8*x+11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-30*x^5+143*x^4+810*x^3-1507*x^2-7260*x-5324
x^3-x^2-3*x+2
x^3-x^2-3*x+2
x^6-10*x^5-257*x^4-290*x^3+2893*x^2+2420*x-5324

 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, 2, 8, 0, 0, 0 ], [ 0, 4, 2, 0, 1, 4 ], 
      [ 0, 0, 0, 0, 0, 11 ], [ 0, 0, 11, 0, 0, 0 ], [ 0, 0, 4, 1, 0, 6 ] ], 
  [ [ 0, 0, 22, 0, 0, 0 ], [ 0, 8, 4, 0, 2, 8 ], [ 1, 2, 12, 1, 0, 6 ], 
      [ 0, 0, 11, 0, 0, 11 ], [ 0, 11, 0, 0, 0, 11 ], [ 0, 4, 6, 1, 1, 10 ] ],
  [ [ 0, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 1, 0, 0, 1 ], 
      [ 1, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 1, 1, 0 ], [ 0, 1, 1, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ], 
      [ 0, 0, 0, 1, 1, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 0, 22 ], [ 0, 0, 8, 2, 0, 12 ], [ 0, 4, 6, 1, 1, 10 ], 
      [ 0, 11, 11, 0, 0, 0 ], [ 0, 0, 11, 0, 0, 11 ], [ 1, 6, 10, 0, 1, 4 ] ] 
 ]


 Q-polynomial