degree:12
 order:50
[ 12, 4, 3, 6, 24 ][ 9, 0, 4, 3, 4, 0, 0, 0, 1, 2 ]

minimal polynomial:[ x-12, x-4, x-2, x+1, x+3, x+8 ]x^2-3*x-4
x^3-2*x^2-5*x+6
x^3-5*x^2-8*x+12
x^6-15*x^5-236*x^4+276*x^3+5104*x^2-4608*x-9216

 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, 12, 0, 0, 0, 0 ], [ 1, 0, 3, 0, 2, 6 ], [ 0, 9, 0, 3, 0, 0 ], 
      [ 0, 0, 4, 0, 0, 8 ], [ 0, 4, 0, 0, 0, 8 ], [ 0, 3, 0, 1, 2, 6 ] ], 
  [ [ 0, 0, 4, 0, 0, 0 ], [ 0, 3, 0, 1, 0, 0 ], [ 1, 0, 3, 0, 0, 0 ], 
      [ 0, 4, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 1, 3 ] ], 
  [ [ 0, 0, 0, 3, 0, 0 ], [ 0, 0, 1, 0, 0, 2 ], [ 0, 3, 0, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 2, 0 ], [ 0, 0, 0, 1, 2, 0 ], [ 0, 1, 0, 0, 0, 2 ] ], 
  [ [ 0, 0, 0, 0, 6, 0 ], [ 0, 2, 0, 0, 0, 4 ], [ 0, 0, 0, 0, 0, 6 ], 
      [ 0, 0, 0, 2, 4, 0 ], [ 1, 0, 0, 2, 3, 0 ], [ 0, 2, 1, 0, 0, 3 ] ], 
  [ [ 0, 0, 0, 0, 0, 24 ], [ 0, 6, 0, 2, 4, 12 ], [ 0, 0, 0, 0, 6, 18 ], 
      [ 0, 8, 0, 0, 0, 16 ], [ 0, 8, 4, 0, 0, 12 ], [ 1, 6, 3, 2, 3, 9 ] ] ]


 Q-polynomial