degree:9
 order:40
[ 9, 9, 1, 2, 18 ][ 3, 0, 0, 2, 9, 0, 2, 0, 0, 1 ]

minimal polynomial:[ x-9, x-3, x+1, x+3, x^2+2*x-9 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-10*x^5-11*x^4+180*x^3+99*x^2-810*x-729
x^2-1
x^3-4*x
x^5-16*x^4-72*x^3+576*x^2+1296*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, 9, 0, 0, 0, 0 ], [ 1, 1, 3, 0, 0, 4 ], [ 0, 3, 1, 1, 0, 4 ], 
      [ 0, 0, 9, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 9 ], [ 0, 2, 2, 0, 1, 4 ] ], 
  [ [ 0, 0, 9, 0, 0, 0 ], [ 0, 3, 1, 1, 0, 4 ], [ 1, 1, 3, 0, 0, 4 ], 
      [ 0, 9, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 9 ], [ 0, 2, 2, 0, 1, 4 ] ], 
  [ [ 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, 2, 0 ], [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 0, 0, 0, 2 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 18 ], [ 0, 4, 4, 0, 2, 8 ], [ 0, 4, 4, 0, 2, 8 ], 
      [ 0, 0, 0, 0, 0, 18 ], [ 0, 9, 9, 0, 0, 0 ], [ 1, 4, 4, 1, 0, 8 ] ] ]


 Q-polynomial