degree:6
 order:19
[ 6, 6, 6 ][ 1, 2, 3, 1 ]

minimal polynomial:[ x-6, x^3+x^2-6*x-7 ]
 Galois type:1

 minimal polynomial of other basis elements:
 [ x-6, x^3+x^2-6*x-7 ]
[ x-6, x^3+x^2-6*x-7 ]

 SITA:
[ [ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ], 
  [ [ 0, 6, 0, 0 ], [ 1, 2, 1, 2 ], [ 0, 1, 2, 3 ], [ 0, 2, 3, 1 ] ], 
  [ [ 0, 0, 6, 0 ], [ 0, 1, 2, 3 ], [ 1, 2, 2, 1 ], [ 0, 3, 1, 2 ] ], 
  [ [ 0, 0, 0, 6 ], [ 0, 2, 3, 1 ], [ 0, 3, 1, 2 ], [ 1, 1, 2, 2 ] ] ]