degree:14
 order:40
[ 14, 2, 2, 7, 14 ][ 7, 0, 12, 6, 0, 0, 1, 2, 1, 0 ]

minimal polynomial:[ x-14, x+2, x^2-x-1, x^2+7*x-49 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-x^2-3*x+2
x^3-x^2-3*x+2
x^2-6*x-7
x^6-6*x^5-157*x^4+558*x^3+1141*x^2-1764*x-1372

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


 Q-polynomial