#### Green Polynomials for A1

####  W-rep key:
#  x[1] = [1, 1]       ,   orbit = [1, 1]    ,   A-rep = []    
#  x[2] = [2]          ,   orbit = [2]       ,   A-rep = []    


###   Green Polynomials by Orbit

orbit #1 : [1, 1]
  dim = 0
  A(O) = 1  ,  |A(O)_0| = 1
  g_s = 3*V[0]
  Z_G(x)_0 = A1

  # Green Polys by orbit reps
    #1.1 : x[1]  :  [1, 1],[]  : [2]     
        Qxi[A1,1,1] = (x[1])*q
                    + x[2]

  # Green Polys by conj class in A(O)
    #1.1  :  c = ()
        |O_x_c^F| = 1
        Qxc[A1,1,1] = (x[1])*q
                     + x[2]


orbit #2 : [2]
  dim = 2
  A(O) = 1  ,  |A(O)_0| = 1
  g_s = V[2]
  Z_G(x)_0 = GL1

  # Green Polys by orbit reps
    #2.1 : x[2]  :  [2],[]  : [2]     
        Qxi[A1,2,1] = x[2]


  # Green Polys by conj class in A(O)
    #2.1  :  c = ()
        |O_x_c^F| = q^2-1
        Qxc[A1,2,1] = x[2]