degree:14
 order:48
[ 14, 2, 3, 7, 21 ][ 7, 0, 4, 4, 0, 2, 0, 0, 2, 2 ]

minimal polynomial:[ x-14, x+2, x^2-28, x^2-7 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^2-x-2
x^3-9*x
x^4-6*x^3-14*x^2+42*x+49
x^5-18*x^4-126*x^3+1134*x^2+3969*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, 14, 0, 0, 0, 0 ], [ 1, 4, 1, 0, 2, 6 ], [ 0, 7, 0, 0, 7, 0 ], 
      [ 0, 0, 0, 0, 0, 14 ], [ 0, 4, 2, 0, 2, 6 ], [ 0, 4, 0, 2, 2, 6 ] ], 
  [ [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 1, 0 ], [ 1, 0, 1, 0, 0, 0 ], 
      [ 0, 0, 0, 2, 0, 0 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 3, 0, 0 ], [ 0, 0, 0, 0, 0, 3 ], [ 0, 0, 0, 3, 0, 0 ], 
      [ 1, 0, 2, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 3 ], [ 0, 2, 0, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 7, 0 ], [ 0, 2, 1, 0, 1, 3 ], [ 0, 7, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 0, 0, 7 ], [ 1, 2, 0, 0, 1, 3 ], [ 0, 2, 0, 1, 1, 3 ] ], 
  [ [ 0, 0, 0, 0, 0, 21 ], [ 0, 6, 0, 3, 3, 9 ], [ 0, 0, 0, 0, 0, 21 ], 
      [ 0, 14, 0, 0, 7, 0 ], [ 0, 6, 0, 3, 3, 9 ], [ 1, 6, 2, 0, 3, 9 ] ] ]


 Q-polynomial