---------------------------------------

          Here is the Generalized Capsule for the functional equation

                                            q f(q)
                           f(q) = 1 + q + ----------
                                             2     7
                                          (-q  + 1)



          12           10            8             6            4           2
[- (3003 q   + 715260 q   + 7180608 q  + 12055092 q  + 4006674 q  + 176904 q

             /   13    12      11      10       9       8       7       6
     + 28)  /  (q   - q   - 6 q   + 6 q   + 15 q  - 15 q  - 20 q  + 20 q
           /

           5       4      3      2
     + 15 q  - 15 q  - 6 q  + 6 q  + q - 1),

    [0, 1, 0, 8, 0, 2, 0, 1, 0, 7, 0, 10, 0, 16, 0, 15, 0, 9, 0, 16],

    [11, 5, 11, 14, 11, 16, 11, 5, 11, 3, 11, 2, 11, 0, 11, 6, 11, 8, 16, 0]]



                          This took, 0.127, seconds.