degree:7
 order:32
[ 7, 14, 1, 2, 7 ][ 3, 0, 0, 0, 0, 7, 6, 0, 1, 0 ]

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

 minimal polynomial of other basis elements:
 x^3-12*x^2-28*x
x^2-1
x^3-4*x
x^6-57*x^4+399*x^2-343

 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, 7, 0, 0, 0, 0 ], [ 1, 0, 6, 0, 0, 0 ], [ 0, 3, 0, 0, 1, 3 ], 
      [ 0, 0, 0, 0, 0, 7 ], [ 0, 0, 7, 0, 0, 0 ], [ 0, 0, 6, 1, 0, 0 ] ], 
  [ [ 0, 0, 14, 0, 0, 0 ], [ 0, 6, 0, 0, 2, 6 ], [ 1, 0, 12, 1, 0, 0 ], 
      [ 0, 0, 14, 0, 0, 0 ], [ 0, 7, 0, 0, 0, 7 ], [ 0, 6, 0, 0, 2, 6 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 0, 0, 1, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 1, 0, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ], 
      [ 0, 0, 0, 0, 2, 0 ], [ 1, 0, 0, 1, 0, 0 ], [ 0, 0, 2, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 7 ], [ 0, 0, 6, 1, 0, 0 ], [ 0, 3, 0, 0, 1, 3 ], 
      [ 0, 7, 0, 0, 0, 0 ], [ 0, 0, 7, 0, 0, 0 ], [ 1, 0, 6, 0, 0, 0 ] ] ]


 Q-polynomial