degree:10
 order:48
[ 10, 20, 3, 4, 10 ][ 3, 10, 0, 0, 0, 0, 6, 0, 0, 4 ]

minimal polynomial:[ x-10, x-2, x, x+8, x^2-40 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^4-16*x^3-176*x^2+1920*x
x^2-2*x-3
x^3-16*x
x^6-4*x^5-116*x^4+320*x^3+3040*x^2-6400*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, 10, 0, 0, 0, 0 ], [ 1, 0, 6, 3, 0, 0 ], [ 0, 3, 4, 0, 0, 3 ], 
      [ 0, 10, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 10 ], [ 0, 0, 6, 0, 4, 0 ] ], 
  [ [ 0, 0, 20, 0, 0, 0 ], [ 0, 6, 8, 0, 0, 6 ], [ 1, 4, 4, 3, 4, 4 ], 
      [ 0, 0, 20, 0, 0, 0 ], [ 0, 0, 20, 0, 0, 0 ], [ 0, 6, 8, 0, 0, 6 ] ], 
  [ [ 0, 0, 0, 3, 0, 0 ], [ 0, 3, 0, 0, 0, 0 ], [ 0, 0, 3, 0, 0, 0 ], 
      [ 1, 0, 0, 2, 0, 0 ], [ 0, 0, 0, 0, 3, 0 ], [ 0, 0, 0, 0, 0, 3 ] ], 
  [ [ 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, 3, 0, 0 ], [ 0, 4, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 10 ], [ 0, 0, 6, 0, 4, 0 ], [ 0, 3, 4, 0, 0, 3 ], 
      [ 0, 0, 0, 0, 0, 10 ], [ 0, 10, 0, 0, 0, 0 ], [ 1, 0, 6, 3, 0, 0 ] ] ]


 Q-polynomial