degree:4
 order:15
[ 4, 2, 2, 2, 4 ][ 2, 2, 0, 1, 0, 0, 1, 2, 0, 1 ]

minimal polynomial:[ x-4, x+2, x^2-x-1, x^2+2*x-4 ]
 Galois type:1

 minimal polynomial of other basis elements:
 x^3-x^2-3*x+2
x^2-x-2
x^3-x^2-3*x+2
x^6-x^5-17*x^4+8*x^3+56*x^2-24*x-32

 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, 4, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 1 ], [ 0, 2, 0, 0, 0, 2 ], 
      [ 0, 2, 0, 0, 2, 0 ], [ 0, 0, 0, 2, 0, 2 ], [ 0, 1, 1, 0, 1, 1 ] ], 
  [ [ 0, 0, 2, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 1, 0 ], 
      [ 0, 0, 0, 0, 0, 2 ], [ 0, 0, 1, 0, 1, 0 ], [ 0, 1, 0, 1, 0, 0 ] ], 
  [ [ 0, 0, 0, 2, 0, 0 ], [ 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 2 ], 
      [ 1, 0, 0, 1, 0, 0 ], [ 0, 2, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 1, 0, 1 ], [ 0, 0, 1, 0, 1, 0 ], 
      [ 0, 2, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 0, 4 ], [ 0, 1, 1, 0, 1, 1 ], [ 0, 2, 0, 2, 0, 0 ], 
      [ 0, 0, 2, 0, 0, 2 ], [ 0, 2, 0, 0, 0, 2 ], [ 1, 1, 0, 1, 1, 0 ] ] ]


 Q-polynomial