degree:10
 order:48
[ 10, 5, 2, 10, 20 ][ 2, 10, 0, 3, 0, 4, 0, 0, 0, 3 ]

minimal polynomial:[ x-10, x-2, x, x+8, x^2-24 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-2*x^2-15*x
x^2-x-2
x^6-4*x^5-100*x^4+256*x^3+1824*x^2-3840*x
x^4-16*x^3-176*x^2+1920*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, 1, 2, 0, 6 ], [ 0, 2, 0, 0, 8, 0 ], 
      [ 0, 10, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 6 ], [ 0, 3, 0, 0, 3, 4 ] ], 
  [ [ 0, 0, 5, 0, 0, 0 ], [ 0, 1, 0, 0, 4, 0 ], [ 1, 0, 2, 2, 0, 0 ], 
      [ 0, 0, 5, 0, 0, 0 ], [ 0, 4, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 5 ] ], 
  [ [ 0, 0, 0, 2, 0, 0 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 0, 2, 0, 0, 0 ], 
      [ 1, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 10, 0 ], [ 0, 0, 4, 0, 0, 6 ], [ 0, 8, 0, 0, 2, 0 ], 
      [ 0, 0, 0, 0, 10, 0 ], [ 1, 0, 1, 2, 0, 6 ], [ 0, 3, 0, 0, 3, 4 ] ], 
  [ [ 0, 0, 0, 0, 0, 20 ], [ 0, 6, 0, 0, 6, 8 ], [ 0, 0, 0, 0, 0, 20 ], 
      [ 0, 0, 0, 0, 0, 20 ], [ 0, 6, 0, 0, 6, 8 ], [ 1, 4, 5, 2, 4, 4 ] ] ]


 Q-polynomial