degree:10
 order:42
[ 10, 10, 1, 10, 10 ][ 8, 0, 0, 1, 0, 2, 0, 0, 1, 8 ]

minimal polynomial:[ x-10, x+10, x^2-7*x-2, x^2+7*x-2 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-15*x^2+42*x+80
x^2-1
x^6-141*x^4+4164*x^2-6400
x^3-3*x^2-72*x+20

 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, 8, 0, 0, 1 ], [ 0, 8, 0, 0, 2, 0 ], 
      [ 0, 0, 0, 0, 0, 10 ], [ 0, 0, 2, 0, 0, 8 ], [ 0, 1, 0, 1, 8, 0 ] ], 
  [ [ 0, 0, 10, 0, 0, 0 ], [ 0, 8, 0, 0, 2, 0 ], [ 1, 0, 7, 0, 0, 2 ], 
      [ 0, 0, 0, 0, 10, 0 ], [ 0, 2, 0, 1, 7, 0 ], [ 0, 0, 2, 0, 0, 8 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 10, 0 ], [ 0, 0, 2, 0, 0, 8 ], [ 0, 2, 0, 1, 7, 0 ], 
      [ 0, 0, 10, 0, 0, 0 ], [ 1, 0, 7, 0, 0, 2 ], [ 0, 8, 0, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 10 ], [ 0, 1, 0, 1, 8, 0 ], [ 0, 0, 2, 0, 0, 8 ], 
      [ 0, 10, 0, 0, 0, 0 ], [ 0, 8, 0, 0, 2, 0 ], [ 1, 0, 8, 0, 0, 1 ] ] ]


 Q-polynomial