degree:4
 order:21
[ 4, 8, 4, 4 ][ 1, 1, 0, 0, 2, 2 ]

minimal polynomial:[ x-4, x^2-2, x^2+x-5 ]
 Galois type:1

 minimal polynomial of other basis elements:
[ x-8, x-2, x^2+4*x+2 ]
[ x-4, x^2-2, x^2+x-5 ]
[ x-4, x+2, x^2-2*x-1 ]

 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, 2, 1, 0 ], [ 0, 1, 2, 0, 1 ], [ 0, 1, 0, 1, 2 ], [ 0, 0, 2, 2, 0 ] ], 
  [ [ 0, 0, 8, 0, 0 ], [ 0, 2, 4, 0, 2 ], [ 1, 2, 2, 2, 1 ], [ 0, 0, 4, 2, 2 ], [ 0, 2, 2, 2, 2 ] ], [ [ 0, 0, 0, 4, 0 ], [ 0, 1, 0, 1, 2 ], [ 0, 0, 2, 1, 1 ], [ 1, 1, 2, 0, 0 ], [ 0, 2, 2, 0, 0 ] ], 
  [ [ 0, 0, 0, 0, 4 ], [ 0, 0, 2, 2, 0 ], [ 0, 1, 1, 1, 1 ], [ 0, 2, 2, 0, 0 ], [ 1, 0, 2, 0, 1 ] ] ]