degree:6
 order:20
[ 6, 3, 1, 3, 6 ][ 4, 0, 0, 3, 0, 2, 0, 0, 1, 2 ]

minimal polynomial:[ x-6, x-2, x-1, x+1, x+2, x+6 ]x^3-2*x^2-5*x+6
x^2-1
x^6-14*x^4+49*x^2-36
x^3-5*x^2-8*x+12

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