degree:11
 order:60
[ 11, 11, 1, 3, 33 ][ 6, 0, 0, 1, 11, 0, 1, 0, 0, 1 ]

minimal polynomial:[ x-11, x+1, x^2-5*x-11, x^2+5*x-11 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^4-15*x^3+28*x^2+165*x+121
x^2-1
x^3-x^2-6*x
x^5-20*x^4-443*x^3+330*x^2+4356*x

 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, 1, 6, 0, 0, 3 ], [ 0, 6, 1, 1, 0, 3 ], 
      [ 0, 0, 11, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 11 ], [ 0, 1, 1, 0, 1, 8 ] ], 
  [ [ 0, 0, 11, 0, 0, 0 ], [ 0, 6, 1, 1, 0, 3 ], [ 1, 1, 6, 0, 0, 3 ], 
      [ 0, 11, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 11 ], [ 0, 1, 1, 0, 1, 8 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 3, 0 ], [ 1, 0, 0, 1, 1, 0 ], [ 0, 1, 1, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 0, 33 ], [ 0, 3, 3, 0, 3, 24 ], [ 0, 3, 3, 0, 3, 24 ], 
      [ 0, 0, 0, 0, 0, 33 ], [ 0, 11, 11, 0, 0, 11 ], [ 1, 8, 8, 1, 1, 14 ] ] 
 ]


 Q-polynomial