degree:5
 order:36
[ 5, 15, 1, 4, 10 ][ 1, 5, 0, 0, 0, 0, 3, 0, 0, 2 ]

minimal polynomial:[ x-5, x-1, x, x+4, x^2-10 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^4-12*x^3-99*x^2+810*x
x^2-1
x^3-2*x^2-8*x
x^6-4*x^5-86*x^4+200*x^3+760*x^2-1600*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, 5, 0, 0, 0, 0 ], [ 1, 0, 3, 1, 0, 0 ], [ 0, 1, 2, 0, 0, 2 ], 
      [ 0, 5, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 5 ], [ 0, 0, 3, 0, 2, 0 ] ], 
  [ [ 0, 0, 15, 0, 0, 0 ], [ 0, 3, 6, 0, 0, 6 ], [ 1, 2, 3, 1, 4, 4 ], 
      [ 0, 0, 15, 0, 0, 0 ], [ 0, 0, 15, 0, 0, 0 ], [ 0, 3, 6, 0, 0, 6 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], [ 0, 0, 1, 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, 4, 0 ], [ 0, 0, 0, 0, 0, 4 ], [ 0, 0, 4, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 4, 0 ], [ 1, 0, 0, 1, 2, 0 ], [ 0, 2, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 10 ], [ 0, 0, 6, 0, 4, 0 ], [ 0, 2, 4, 0, 0, 4 ], 
      [ 0, 0, 0, 0, 0, 10 ], [ 0, 5, 0, 0, 0, 5 ], [ 1, 0, 6, 1, 2, 0 ] ] ]


 Q-polynomial