degree:7
 order:30
[ 7, 7, 1, 7, 7 ][ 6, 0, 0, 0, 0, 1, 0, 0, 1, 6 ]

minimal polynomial:[ x-7, x+7, x^2-6*x-1, x^2+6*x-1 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-11*x^2+22*x+42
x^2-1
x^6-77*x^4+1408*x^2-1764
x^3-x^2-43*x+7

 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, 6, 0, 0, 1, 0 ], 
      [ 0, 0, 0, 0, 0, 7 ], [ 0, 0, 1, 0, 0, 6 ], [ 0, 0, 0, 1, 6, 0 ] ], 
  [ [ 0, 0, 7, 0, 0, 0 ], [ 0, 6, 0, 0, 1, 0 ], [ 1, 0, 5, 0, 0, 1 ], 
      [ 0, 0, 0, 0, 7, 0 ], [ 0, 1, 0, 1, 5, 0 ], [ 0, 0, 1, 0, 0, 6 ] ], 
  [ [ 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, 7, 0 ], [ 0, 0, 1, 0, 0, 6 ], [ 0, 1, 0, 1, 5, 0 ], 
      [ 0, 0, 7, 0, 0, 0 ], [ 1, 0, 5, 0, 0, 1 ], [ 0, 6, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 0, 7 ], [ 0, 0, 0, 1, 6, 0 ], [ 0, 0, 1, 0, 0, 6 ], 
      [ 0, 7, 0, 0, 0, 0 ], [ 0, 6, 0, 0, 1, 0 ], [ 1, 0, 6, 0, 0, 0 ] ] ]


 P-polynomial



 Q-polynomial