degree:10
 order:48
[ 10, 10, 1, 6, 20 ][ 1, 0, 5, 2, 10, 5, 2, 0, 0, 0 ]

minimal polynomial:[ x-10, x-4, x, x+6, x^2-10 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^6-8*x^5-54*x^4+320*x^3+440*x^2-2400*x
x^2-1
x^3-4*x^2-12*x
x^4-8*x^3-304*x^2+1280*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, 1, 1, 0, 3, 4 ], [ 0, 1, 1, 1, 3, 4 ], 
      [ 0, 0, 10, 0, 0, 0 ], [ 0, 5, 5, 0, 0, 0 ], [ 0, 2, 2, 0, 0, 6 ] ], 
  [ [ 0, 0, 10, 0, 0, 0 ], [ 0, 1, 1, 1, 3, 4 ], [ 1, 1, 1, 0, 3, 4 ], 
      [ 0, 10, 0, 0, 0, 0 ], [ 0, 5, 5, 0, 0, 0 ], [ 0, 2, 2, 0, 0, 6 ] ], 
  [ [ 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, 6, 0 ], [ 0, 3, 3, 0, 0, 0 ], [ 0, 3, 3, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 6, 0 ], [ 1, 0, 0, 1, 4, 0 ], [ 0, 0, 0, 0, 0, 6 ] ], 
  [ [ 0, 0, 0, 0, 0, 20 ], [ 0, 4, 4, 0, 0, 12 ], [ 0, 4, 4, 0, 0, 12 ], 
      [ 0, 0, 0, 0, 0, 20 ], [ 0, 0, 0, 0, 0, 20 ], [ 1, 6, 6, 1, 6, 0 ] ] ]


 Q-polynomial