degree:6
 order:20
 [ 6, 6, 3, 4 ][ 4, 2, 0, 0, 3, 3 ]

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

 minimal polynomial of other basis elements:
[ x-6, x-1, x+2 ]
[ x-3, x-1, x+2 ]
[ x-4, x, x+4, x^2-6 ]
 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, 6, 0, 0, 0 ], [ 1, 0, 4, 1, 0 ], [ 0, 4, 0, 0, 2 ], [ 0, 2, 0, 0, 4 ], [ 0, 0, 3, 3, 0 ] ], 
  [ [ 0, 0, 6, 0, 0 ], [ 0, 4, 0, 0, 2 ], [ 1, 0, 3, 2, 0 ], [ 0, 0, 4, 2, 0 ], [ 0, 3, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 3, 0 ], [ 0, 1, 0, 0, 2 ], [ 0, 0, 2, 1, 0 ], [ 1, 0, 2, 0, 0 ], [ 0, 3, 0, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 4 ], [ 0, 0, 2, 2, 0 ], [ 0, 2, 0, 0, 2 ], [ 0, 4, 0, 0, 0 ], [ 1, 0, 3, 0, 0 ] ] ]