degree:6
 order:20
[ 6, 1, 3, 9 ][ 6, 0, 2, 0, 0, 2 ]

minimal polynomial:[ x-6, x-3, x, x+2, x+4 ]x^2-1
x^3-x^2-6*x
x^4-10*x^3-3*x^2+108*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, 1, 1, 0, 3 ], [ 0, 6, 0, 0, 0 ], [ 0, 0, 0, 0, 6 ], [ 0, 2, 0, 2, 2 ] ], 
  [ [ 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, 3, 0 ], [ 0, 0, 0, 0, 3 ], [ 0, 0, 0, 3, 0 ], [ 1, 0, 1, 1, 0 ], [ 0, 2, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 9 ], [ 0, 3, 0, 3, 3 ], [ 0, 0, 0, 0, 9 ], [ 0, 6, 0, 0, 3 ], [ 1, 2, 1, 1, 4 ] ] ]