degree:17
 order:52
[ 17, 17, 17 ][ 4, 6, 7, 4 ]

minimal polynomial:[ x-17, x^3+x^2-17*x-25 ]
 Galois type:1

 minimal polynomial of other basis elements:
 [ x-17, x^3+x^2-17*x-25 ]
[ x-17, x^3+x^2-17*x-25 ]

 SITA:
[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 17, 0, 0 ], [ 1, 6, 4, 6 ], [ 0, 4, 6, 7 ], [ 0, 6, 7, 4 ] ], 
  [ [ 0, 0, 17, 0 ], [ 0, 4, 6, 7 ], [ 1, 6, 6, 4 ], [ 0, 7, 4, 6 ] ], 
  [ [ 0, 0, 0, 17 ], [ 0, 6, 7, 4 ], [ 0, 7, 4, 6 ], [ 1, 4, 6, 6 ] ] ]