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

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

 minimal polynomial of other basis elements:
 x^3-2*x^2-8*x
x^2-1
x^6-2*x^5-29*x^4+40*x^3+190*x^2-200*x
x^4-12*x^3-99*x^2+810*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, 2, 1, 0, 6 ], [ 0, 5, 0, 0, 5, 0 ], 
      [ 0, 10, 0, 0, 0, 0 ], [ 0, 0, 4, 0, 0, 6 ], [ 0, 4, 0, 0, 2, 4 ] ], 
  [ [ 0, 0, 4, 0, 0, 0 ], [ 0, 2, 0, 0, 2, 0 ], [ 1, 0, 2, 1, 0, 0 ], 
      [ 0, 0, 4, 0, 0, 0 ], [ 0, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 4 ] ], 
  [ [ 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, 5, 0 ], [ 0, 0, 2, 0, 0, 3 ], [ 0, 5, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 5, 0 ], [ 1, 0, 0, 1, 0, 3 ], [ 0, 2, 0, 0, 1, 2 ] ], 
  [ [ 0, 0, 0, 0, 0, 15 ], [ 0, 6, 0, 0, 3, 6 ], [ 0, 0, 0, 0, 0, 15 ], 
      [ 0, 0, 0, 0, 0, 15 ], [ 0, 6, 0, 0, 3, 6 ], [ 1, 4, 4, 1, 2, 3 ] ] ]


 Q-polynomial