degree:8
 order:60
[ 8, 8, 1, 18, 24 ][ 3, 0, 0, 1, 8, 0, 1, 0, 0, 3 ]

minimal polynomial:[ x-8, x-5, x-2, x, x+2, x+4 ]x^5-15*x^4+58*x^3+24*x^2-320*x
x^2-1
x^5-13*x^4-138*x^3+756*x^2+1944*x
x^5-17*x^4-188*x^3+384*x^2+2304*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, 8, 0, 0, 0, 0 ], [ 1, 1, 3, 0, 0, 3 ], [ 0, 3, 1, 1, 0, 3 ], 
      [ 0, 0, 8, 0, 0, 0 ], [ 0, 0, 0, 0, 4, 4 ], [ 0, 1, 1, 0, 3, 3 ] ], 
  [ [ 0, 0, 8, 0, 0, 0 ], [ 0, 3, 1, 1, 0, 3 ], [ 1, 1, 3, 0, 0, 3 ], 
      [ 0, 8, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 4, 4 ], [ 0, 1, 1, 0, 3, 3 ] ], 
  [ [ 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 0 ], 
      [ 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ] ], 
  [ [ 0, 0, 0, 0, 18, 0 ], [ 0, 0, 0, 0, 9, 9 ], [ 0, 0, 0, 0, 9, 9 ], 
      [ 0, 0, 0, 0, 18, 0 ], [ 1, 4, 4, 1, 4, 4 ], [ 0, 3, 3, 0, 3, 9 ] ], 
  [ [ 0, 0, 0, 0, 0, 24 ], [ 0, 3, 3, 0, 9, 9 ], [ 0, 3, 3, 0, 9, 9 ], 
      [ 0, 0, 0, 0, 0, 24 ], [ 0, 4, 4, 0, 4, 12 ], [ 1, 3, 3, 1, 9, 7 ] ] ]


 Q-polynomial