degree:6
 order:20
[ 6, 1, 4, 8 ][ 6, 0, 3, 0, 0, 3 ]

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

 minimal polynomial of other basis elements:
 x^2-1
x^5-22*x^3+96*x
x^3-6*x^2-16*x

 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, 1, 0, 4 ], [ 0, 6, 0, 0, 0 ], [ 0, 0, 0, 0, 6 ], [ 0, 3, 0, 3, 0 ] ], 
  [ [ 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 4, 0 ], [ 0, 0, 0, 0, 4 ], [ 0, 0, 0, 4, 0 ], [ 1, 0, 1, 0, 2 ], [ 0, 3, 0, 1, 0 ] ], 
  [ [ 0, 0, 0, 0, 8 ], [ 0, 4, 0, 4, 0 ], [ 0, 0, 0, 0, 8 ], [ 0, 6, 0, 2, 0 ], [ 1, 0, 1, 0, 6 ] ] ]