degree:4
 order:20
[ 4, 8, 1, 2, 4 ][ 1, 0, 2, 0, 0, 0, 2, 0, 1, 1 ]

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

 minimal polynomial of other basis elements:
 x^4-4*x^3-48*x^2+128*x
x^2-1
x^3-4*x
x^6-2*x^5-16*x^4+24*x^3+48*x^2-64*x

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