degree:4
 order:14
[ 4, 1, 4, 4 ][ 4, 2, 0, 0, 0, 2 ]

minimal polynomial:[ x-4, x, x^3+2*x^2-8*x-8 ]
 Galois type:1

 minimal polynomial of other basis elements:
[ x-1, x+1 ]
[ x-4, x, x^3+2*x^2-8*x-8 ]
[ x-4, x, x^3+2*x^2-8*x-8 ]

 SITA:
[ [ [ 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 0 ], 
      [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 4, 0, 0, 0 ], [ 1, 0, 1, 2, 0 ], [ 0, 4, 0, 0, 0 ], 
      [ 0, 2, 0, 0, 2 ], [ 0, 0, 0, 2, 2 ] ], 
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], 
      [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 4, 0 ], [ 0, 2, 0, 0, 2 ], [ 0, 0, 0, 4, 0 ], 
      [ 1, 0, 1, 0, 2 ], [ 0, 2, 0, 2, 0 ] ], 
  [ [ 0, 0, 0, 0, 4 ], [ 0, 0, 0, 2, 2 ], [ 0, 0, 0, 0, 4 ], 
      [ 0, 2, 0, 2, 0 ], [ 1, 2, 1, 0, 0 ] ] ]