degree:11
 order:60
[ 11, 22, 2, 2, 22 ][ 3, 0, 0, 1, 0, 11, 4, 0, 1, 0 ]

minimal polynomial:[ x-11, x+1, x^2-7*x+11, x^2+7*x+11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-25*x^5+28*x^4+835*x^3+253*x^2-4840*x-5324
x^3-x^2-3*x+2
x^3-x^2-3*x+2
x^6-15*x^5-172*x^4+285*x^3+2453*x^2-5324

 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, 6, 0, 0, 2 ], [ 0, 3, 3, 0, 1, 4 ], 
      [ 0, 0, 0, 0, 0, 11 ], [ 0, 0, 11, 0, 0, 0 ], [ 0, 1, 4, 1, 0, 5 ] ], 
  [ [ 0, 0, 22, 0, 0, 0 ], [ 0, 6, 6, 0, 2, 8 ], [ 1, 3, 10, 1, 0, 7 ], 
      [ 0, 0, 11, 0, 0, 11 ], [ 0, 11, 0, 0, 0, 11 ], [ 0, 4, 7, 1, 1, 9 ] ], 
  [ [ 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, 2, 8, 2, 0, 10 ], [ 0, 4, 7, 1, 1, 9 ], 
      [ 0, 11, 11, 0, 0, 0 ], [ 0, 0, 11, 0, 0, 11 ], [ 1, 5, 9, 0, 1, 6 ] ] ]


 Q-polynomial