A few identities (I)
by
Simon Plouffe
Summer 1993


All equations are equal to 0 and where found using pari-Gp with an implementation of the LLL algorithm and an Interface with MapleV.
 
Identities : General case, gamma, Catalan, Zeta(3) and the Polygamma function

        63 Psi(2, 1/3) - 26 Psi(2, 1/4) - 26 Psi(2, 3/4) + 7 Psi(2, 5/6)

_______________________________________________

                    3        3  1/2                          11
               56 Pi  + 32 Pi  3    + Psi(2, 1/12) - Psi(2, ----)
                                                             12

_______________________________________________

                        3  1/2
                 - 64 Pi  3    - 9 Psi(2, 1/6) + 63 Psi(2, 2/3)

_______________________________________________

         3
 - 208 Pi  + 16 Psi(2, 1/6) - 13 Psi(2, 1/8) + 16 Psi(2, 5/6) - 13 Psi(2, 5/8)

_______________________________________________

                     3        3  1/2
                16 Pi  + 12 Pi  2    + Psi(2, 1/8) - Psi(2, 7/8)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                            3
                      - 4 Pi  - Psi(2, 1/4) + Psi(2, 3/4)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                        3  1/2
                  - 8 Pi  3    - 9 Psi(2, 1/3) + 9 Psi(2, 2/3)

_______________________________________________

         3  1/2
     8 Pi  3    + 52 Zeta(3) - 54 Psi(2, 1/3) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                            3
                      - 4 Pi  - Psi(2, 1/4) + Psi(2, 3/4)

_______________________________________________

   27 Psi(2, 1/4) - 8 Psi(2, 1/6) - Psi(2, 3/4) - Psi(2, 5/12) + Psi(2, 7/12)

_______________________________________________

     - 252 Psi(2, 1/3) + 13 Psi(2, 1/8) + 104 Psi(2, 3/4) - 28 Psi(2, 5/6)

          + 13 Psi(2, 5/8)

_______________________________________________

             3        3  1/2
      - 56 Pi  + 32 Pi  3    + Psi(2, 1/6) - 63 Psi(2, 2/3) + Psi(2, 7/12)

                     11
           + Psi(2, ----)
                     12

_______________________________________________

          3       3  1/2
     26 Pi  - 8 Pi  3    - 63 Psi(2, 1/3) + 13 Psi(2, 1/4) + 5 Psi(2, 1/6)

_______________________________________________

                            3
                        2 Pi  + 56 Zeta(3) + Psi(2, 1/4)

_______________________________________________

                   3        3  1/2
            - 26 Pi  - 16 Pi  3    - 13 Psi(2, 1/4) + 4 Psi(2, 5/6)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 1/3) + Psi(2, 1/6)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                  - Psi(2, 1/3) + 8 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                            3
                      - 4 Pi  - Psi(2, 1/4) + Psi(2, 3/4)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

           3  1/2
     608 Pi  3    - 3276 Psi(2, 1/4) + 117 Psi(2, 1/12) + 7056 Psi(2, 2/3)

                        11
          - 117 Psi(2, ----)
                        12

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

              3        3  1/2
       - 16 Pi  + 12 Pi  2    - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 3/8)

_______________________________________________

                 - Psi(2, 1/6) + 63 Psi(2, 2/3) - 8 Psi(2, 5/6)

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

             3  1/2
      - 32 Pi  3    - 364 Psi(2, 1/4) + 13 Psi(2, 1/12) + 14 Psi(2, 5/12)

                     11
           + Psi(2, ----)
                     12

_______________________________________________

       3  1/2         3  1/2                              11
 128 Pi  3    - 156 Pi  2    - 4 Psi(2, 5/12) - 4 Psi(2, ----) + 13 Psi(2, 5/8)
                                                          12

      + 13 Psi(2, 7/8)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

               3  1/2                                                11
       - 512 Pi  3    - 504 Psi(2, 1/3) + 9 Psi(2, 5/12) + 9 Psi(2, ----)
                                                                     12

_______________________________________________

                   416 Zeta(3) + Psi(2, 1/6) + 9 Psi(2, 2/3)

_______________________________________________

                 - Psi(2, 1/6) + 63 Psi(2, 2/3) - 8 Psi(2, 5/6)

_______________________________________________

             3        3  1/2
        16 Pi  + 12 Pi  2    + Psi(2, 1/8) - 8 Psi(2, 3/4) + Psi(2, 3/8)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    - 234 Zeta(3) - 9 Psi(2, 1/3)

_______________________________________________

                   3  1/2
            - 12 Pi  2    + 448 Zeta(3) + Psi(2, 5/8) + Psi(2, 7/8)

_______________________________________________

                             3
                       - 2 Pi  - 56 Zeta(3) - Psi(2, 1/4)

_______________________________________________

             3
      - 14 Pi  + 24 Zeta(3) + 9 Psi(2, 1/3) - 7 Psi(2, 1/4) + Psi(2, 5/6)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                  3  1/2
            - 8 Pi  3    - 8 Psi(2, 1/3) + Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

   - 5824 Psi(2, 1/4) + 215 Psi(2, 1/12) + 504 Psi(2, 2/3) + 208 Psi(2, 5/12)

        + 7 Psi(2, 7/12)

_______________________________________________

                       3  1/2
                 - 8 Pi  3    - 63 Psi(2, 2/3) + 9 Psi(2, 5/6)

_______________________________________________

                3  1/2
            4 Pi  3    + 26 Zeta(3) + 36 Psi(2, 2/3) - 5 Psi(2, 5/6)

_______________________________________________

                       3  1/2
                  64 Pi  3    + 63 Psi(2, 1/3) - 9 Psi(2, 5/6)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

                   416 Zeta(3) + Psi(2, 1/6) + 9 Psi(2, 2/3)

_______________________________________________

                 3  1/2
          - 28 Pi  3    - 26 Zeta(3) - 4 Psi(2, 1/6) + 27 Psi(2, 2/3)

_______________________________________________

                 3  1/2                                          11
          - 64 Pi  3    - 8 Psi(2, 1/6) + Psi(2, 5/12) + Psi(2, ----)
                                                                 12

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 1/3) - Psi(2, 1/6)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

    32 Zeta(3) - 9 Psi(2, 1/3) + 4 Psi(2, 1/4) + 4 Psi(2, 3/4) - Psi(2, 5/6)

_______________________________________________

            3        3  1/2                                           11
     - 52 Pi  + 32 Pi  3    + 26 Psi(2, 3/4) - Psi(2, 5/12) - Psi(2, ----)
                                                                      12

_______________________________________________

     - 252 Psi(2, 1/3) + 28 Psi(2, 1/6) + 364 Psi(2, 3/4) - 13 Psi(2, 7/12)

                       11
          - 13 Psi(2, ----)
                       12

_______________________________________________

                        3  1/2
                    4 Pi  3    + 234 Zeta(3) + 9 Psi(2, 1/3)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                   8 Psi(2, 3/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

        13 Psi(2, 1/4) - 4 Psi(2, 1/6) + 13 Psi(2, 3/4) - 4 Psi(2, 5/6)

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                             3
                       - 2 Pi  - 56 Zeta(3) - Psi(2, 1/4)

_______________________________________________

                             3
                       - 2 Pi  - 56 Zeta(3) - Psi(2, 1/4)

_______________________________________________

                             3
                       - 2 Pi  + 56 Zeta(3) + Psi(2, 3/4)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                        3  1/2
                 - 64 Pi  3    - 63 Psi(2, 1/3) + 9 Psi(2, 5/6)

_______________________________________________

                  3  1/2
             12 Pi  2    - 448 Zeta(3) - Psi(2, 5/8) - Psi(2, 7/8)

_______________________________________________

                       3  1/2
                   8 Pi  3    + 9 Psi(2, 1/3) - 9 Psi(2, 2/3)

_______________________________________________

        - Psi(2, 1/12) + 504 Psi(2, 2/3) - 64 Psi(2, 5/6) - Psi(2, 7/12)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                  3  1/2
            - 8 Pi  3    - 8 Psi(2, 1/3) + Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

          3                                                               11
  - 112 Pi  - 63 Psi(2, 1/3) - 7 Psi(2, 5/6) + 2 Psi(2, 7/12) + 2 Psi(2, ----)
                                                                          12

_______________________________________________

                       3  1/2
                   8 Pi  3    + 9 Psi(2, 1/3) - 9 Psi(2, 2/3)

_______________________________________________

       3  1/2
  32 Pi  3    - 13 Psi(2, 1/4) + Psi(2, 1/12) - 13 Psi(2, 3/4) + Psi(2, 7/12)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 1/3) + Psi(2, 1/6)

_______________________________________________

              3  1/2
      - 864 Pi  3    - 364 Psi(2, 1/4) + 216 Psi(2, 5/6) - 13 Psi(2, 7/12)

                        11
           - 13 Psi(2, ----)
                        12

_______________________________________________

        - Psi(2, 1/12) + 504 Psi(2, 2/3) - 64 Psi(2, 5/6) - Psi(2, 7/12)

_______________________________________________

                       3  1/2
                  64 Pi  3    + 63 Psi(2, 1/3) - 9 Psi(2, 5/6)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

         3  1/2
    12 Pi  2    + 4 Psi(2, 1/4) + 4 Psi(2, 3/4) - Psi(2, 5/8) - Psi(2, 7/8)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                                                                  11
          - Psi(2, 1/6) + 63 Psi(2, 2/3) - Psi(2, 5/12) - Psi(2, ----)
                                                                  12

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

             3
        14 Pi  - 28 Zeta(3) + Psi(2, 1/6) - 7 Psi(2, 3/4) + Psi(2, 5/6)

_______________________________________________

      - 252 Psi(2, 1/3) + 13 Psi(2, 1/4) + 28 Psi(2, 1/6) + 13 Psi(2, 3/4)

_______________________________________________

   - 5824 Psi(2, 1/4) + 215 Psi(2, 1/12) + 504 Psi(2, 2/3) + 208 Psi(2, 5/12)

        + 7 Psi(2, 7/12)

_______________________________________________

  - 13608 Psi(2, 1/3) + 728 Psi(2, 1/4) + 189 Psi(2, 1/12) + 215 Psi(2, 7/12)

                    11
       + 26 Psi(2, ----)
                    12

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 1/3) - Psi(2, 1/6)

_______________________________________________

                3  1/2
           64 Pi  3    + Psi(2, 1/12) - 8 Psi(2, 5/6) + Psi(2, 7/12)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

      - 13 Psi(2, 1/4) + 252 Psi(2, 2/3) - 13 Psi(2, 3/4) - 28 Psi(2, 5/6)

_______________________________________________

        3  1/2
    4 Pi  3    + 70 Zeta(3) + 9 Psi(2, 1/6) - Psi(2, 1/12) - 28 Psi(2, 3/4)

                   11
         + Psi(2, ----)
                   12

_______________________________________________

                 3  1/2                                          11
          - 64 Pi  3    - 8 Psi(2, 1/6) + Psi(2, 5/12) + Psi(2, ----)
                                                                 12

_______________________________________________

                  Psi(2, 1/6) - 63 Psi(2, 2/3) + 8 Psi(2, 5/6)

_______________________________________________

                    3
               32 Pi  + 8 Psi(2, 1/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                     3        3  1/2
              - 56 Pi  + 32 Pi  3    - Psi(2, 5/12) + Psi(2, 7/12)

_______________________________________________

         - 3024 Zeta(3) - Psi(2, 1/12) - 28 Psi(2, 3/4) - Psi(2, 5/12)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

          - 27 Psi(2, 1/4) + Psi(2, 1/12) + Psi(2, 3/4) + Psi(2, 5/12)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

          3  1/2
     20 Pi  3    + 14 Zeta(3) + 5 Psi(2, 1/6) - Psi(2, 1/8) - 8 Psi(2, 3/4)

          - Psi(2, 5/8)

_______________________________________________

                   - 112 Zeta(3) - Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                    3                                           11
            - 108 Pi  - 26 Psi(2, 1/4) + Psi(2, 7/12) + Psi(2, ----)
                                                                12

_______________________________________________

           3  1/2
    - 12 Pi  2    - 448 Zeta(3) - Psi(2, 1/8) - 8 Psi(2, 3/4) + Psi(2, 7/8)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

            3       3  1/2
        8 Pi  + 4 Pi  3    + 10 Zeta(3) + 9 Psi(2, 1/3) - 4 Psi(2, 3/4)

_______________________________________________

                3  1/2         3  1/2
        - 128 Pi  3    - 156 Pi  2    - 32 Psi(2, 1/6) + 13 Psi(2, 5/8)

             + 13 Psi(2, 7/8)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                            3
                        2 Pi  + 56 Zeta(3) + Psi(2, 1/4)

_______________________________________________

                                                         11
                  8 Psi(2, 5/6) - Psi(2, 5/12) - Psi(2, ----)
                                                         12

_______________________________________________

                    3
               32 Pi  + Psi(2, 1/8) - 8 Psi(2, 3/4) + Psi(2, 5/8)

_______________________________________________

                    3
            - 108 Pi  - Psi(2, 1/12) + 26 Psi(2, 3/4) - Psi(2, 5/12)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                   8 Psi(2, 1/4) - Psi(2, 1/8) - Psi(2, 5/8)

_______________________________________________

                        3  1/2
                  - 8 Pi  3    - 9 Psi(2, 1/3) + 9 Psi(2, 2/3)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                  - Psi(2, 1/3) + 8 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                            3
                        2 Pi  + 56 Zeta(3) + Psi(2, 1/4)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

       3  1/2         3  1/2
 128 Pi  3    - 156 Pi  2    - 32 Psi(2, 5/6) + 13 Psi(2, 5/8) + 13 Psi(2, 7/8)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                3  1/2
            4 Pi  3    - 26 Zeta(3) + 27 Psi(2, 2/3) - 4 Psi(2, 5/6)

_______________________________________________

                   416 Zeta(3) + Psi(2, 1/6) + 9 Psi(2, 2/3)

_______________________________________________

                   8 Psi(2, 3/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                  3
          - 104 Pi  - 52 Psi(2, 1/4) + 7 Psi(2, 1/6) + 63 Psi(2, 2/3)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                  - Psi(2, 1/3) + 8 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                        3  1/2
                 - 64 Pi  3    - 9 Psi(2, 1/6) + 63 Psi(2, 2/3)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                  3
              4 Pi  - 26 Psi(2, 1/4) + Psi(2, 1/12) + Psi(2, 5/12)

_______________________________________________

                            3
                        2 Pi  + 56 Zeta(3) + Psi(2, 1/4)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 1/3) + Psi(2, 1/6)

_______________________________________________

                  - 416 Zeta(3) - 9 Psi(2, 1/3) - Psi(2, 5/6)

_______________________________________________

                        3  1/2
                  - 8 Pi  3    - 9 Psi(2, 1/3) + 9 Psi(2, 2/3)

_______________________________________________

                            3
                        2 Pi  - 56 Zeta(3) - Psi(2, 3/4)

_______________________________________________

                       3  1/2
                   8 Pi  3    + 9 Psi(2, 1/3) - 9 Psi(2, 2/3)

_______________________________________________

                        3  1/2
                 - 64 Pi  3    - 9 Psi(2, 1/6) + 63 Psi(2, 2/3)

_______________________________________________

                      3  1/2
                  8 Pi  3    + 63 Psi(2, 2/3) - 9 Psi(2, 5/6)

_______________________________________________

                       3  1/2
                  64 Pi  3    + 63 Psi(2, 1/3) - 9 Psi(2, 5/6)

_______________________________________________

         3         3  1/2                                                11
   504 Pi  + 224 Pi  3    + 504 Psi(2, 1/3) - 9 Psi(2, 7/12) - 9 Psi(2, ----)
                                                                         12

_______________________________________________

                  3        3  1/2
             26 Pi  + 16 Pi  3    + 13 Psi(2, 1/4) - 4 Psi(2, 5/6)

_______________________________________________

                            3
                        2 Pi  - 56 Zeta(3) - Psi(2, 3/4)

_______________________________________________

                     3
              - 32 Pi  - 8 Psi(2, 1/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                            3
                      - 4 Pi  - Psi(2, 1/4) + Psi(2, 3/4)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

             3
      - 16 Pi  - 20 Zeta(3) - 81 Psi(2, 1/3) + 9 Psi(2, 1/6) + Psi(2, 3/8)

           + Psi(2, 7/8)

_______________________________________________

                        3  1/2
                    4 Pi  3    - 234 Zeta(3) - 9 Psi(2, 2/3)

_______________________________________________

                  3         3  1/2
          - 234 Pi  - 112 Pi  3    - 117 Psi(2, 1/4) + 252 Psi(2, 2/3)

_______________________________________________

            3  1/2
     - 84 Pi  2    - 126 Psi(2, 1/3) + 8 Psi(2, 1/6) - 7 Psi(2, 1/8)

          + 2 Psi(2, 1/12) - 6 Psi(2, 5/6) + 2 Psi(2, 5/12) + 7 Psi(2, 7/8)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 1/3) - Psi(2, 1/6)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                  63 Psi(2, 1/3) - 8 Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

            3                                                          11
     - 56 Pi  + 1872 Zeta(3) + 72 Psi(2, 1/3) - Psi(2, 1/12) + Psi(2, ----)
                                                                       12

_______________________________________________

            3
       14 Pi  + 24 Zeta(3) + 9 Psi(2, 1/3) - 7 Psi(2, 3/4) + Psi(2, 5/6)

_______________________________________________

    - 728 Psi(2, 1/4) + 189 Psi(2, 1/6) + 1701 Psi(2, 2/3) - 26 Psi(2, 7/12)

                      11
         - 26 Psi(2, ----)
                      12

_______________________________________________

                          3  1/2
                    - 8 Pi  3    - Psi(2, 1/6) + Psi(2, 5/6)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                            3
                        2 Pi  - 56 Zeta(3) - Psi(2, 3/4)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                3
           26 Pi  - 14 Psi(2, 1/3) + 13 Psi(2, 1/4) - 14 Psi(2, 2/3)

_______________________________________________

                3  1/2
           28 Pi  3    + 26 Zeta(3) + 4 Psi(2, 1/6) - 27 Psi(2, 2/3)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    - 234 Zeta(3) - 9 Psi(2, 1/3)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

              3  1/2
         32 Pi  3    + 13 Psi(2, 1/4) + 13 Psi(2, 3/4) - 8 Psi(2, 5/6)

_______________________________________________

       28 Psi(2, 1/3) - 13 Psi(2, 1/4) + 28 Psi(2, 2/3) - 13 Psi(2, 3/4)

_______________________________________________

      - 13 Psi(2, 1/4) + 252 Psi(2, 2/3) - 13 Psi(2, 3/4) - 28 Psi(2, 5/6)

_______________________________________________

                     52 Zeta(3) + Psi(2, 1/3) + Psi(2, 2/3)

_______________________________________________

             3       3  1/2
         6 Pi  - 4 Pi  3    + 14 Zeta(3) - 3 Psi(2, 3/4) + Psi(2, 5/6)

_______________________________________________

                   8 Psi(2, 3/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

       - 528 Zeta(3) - 28 Psi(2, 1/4) + 432 Psi(2, 2/3) - 6 Psi(2, 5/12)

                                       11
            - Psi(2, 7/12) - 7 Psi(2, ----)
                                       12

_______________________________________________

             3  1/2
       224 Pi  3    + 117 Psi(2, 1/4) - 504 Psi(2, 2/3) + 117 Psi(2, 3/4)

_______________________________________________

                   - 364 Zeta(3) - Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                            3
                        2 Pi  - 56 Zeta(3) - Psi(2, 3/4)

_______________________________________________

              3  1/2                                                11
        512 Pi  3    + 504 Psi(2, 1/3) - 9 Psi(2, 5/12) - 9 Psi(2, ----)
                                                                    12

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                          3  1/2
                    - 4 Pi  3    + 182 Zeta(3) + Psi(2, 5/6)

_______________________________________________

                        3  1/2
                    4 Pi  3    - 234 Zeta(3) - 9 Psi(2, 2/3)

_______________________________________________

            896 Zeta(3) + 8 Psi(2, 1/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                    3        3  1/2                          11
               56 Pi  + 32 Pi  3    + Psi(2, 1/12) - Psi(2, ----)
                                                             12

_______________________________________________

                                                         11
                  8 Psi(2, 5/6) - Psi(2, 5/12) - Psi(2, ----)
                                                         12

_______________________________________________

           63 Psi(2, 1/3) - Psi(2, 1/12) - Psi(2, 5/6) - Psi(2, 7/12)

_______________________________________________

                          3  1/2
                    - 8 Pi  3    - Psi(2, 1/6) + Psi(2, 5/6)

_______________________________________________

               3  1/2                                                11
       - 512 Pi  3    - 504 Psi(2, 1/3) + 9 Psi(2, 5/12) + 9 Psi(2, ----)
                                                                     12

_______________________________________________

                     3
                16 Pi  - 448 Zeta(3) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

                                                                  11
          - Psi(2, 1/4) + 27 Psi(2, 3/4) - Psi(2, 7/12) - Psi(2, ----)
                                                                  12

_______________________________________________

     8 Zeta(3) - 2 Psi(2, 1/3) + Psi(2, 1/4) - 2 Psi(2, 2/3) + Psi(2, 3/4)

_______________________________________________

         3  1/2
   - 4 Pi  3    - 10 Zeta(3) - 9 Psi(2, 1/3) + 2 Psi(2, 1/4) + 2 Psi(2, 3/4)

_______________________________________________

                     3        3  1/2
              - 56 Pi  + 32 Pi  3    - Psi(2, 5/12) + Psi(2, 7/12)

_______________________________________________

                       3  1/2
                   8 Pi  3    + 9 Psi(2, 1/3) - 9 Psi(2, 2/3)

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                   8 Psi(2, 3/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

          64 Psi(2, 1/3) - Psi(2, 1/12) - 8 Psi(2, 2/3) - Psi(2, 7/12)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    + 234 Zeta(3) + 9 Psi(2, 2/3)

_______________________________________________

         - 3024 Zeta(3) - Psi(2, 1/12) - 28 Psi(2, 3/4) - Psi(2, 5/12)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                 3  1/2
          - 28 Pi  3    + 26 Zeta(3) - 27 Psi(2, 1/3) + 4 Psi(2, 5/6)

_______________________________________________

                                                                 11
           Psi(2, 1/4) - 27 Psi(2, 3/4) + Psi(2, 7/12) + Psi(2, ----)
                                                                 12

_______________________________________________

                   8 Psi(2, 3/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                       3  1/2
                  64 Pi  3    + 63 Psi(2, 1/3) - 9 Psi(2, 5/6)

_______________________________________________

                      3        3  1/2
               - 16 Pi  + 12 Pi  2    + Psi(2, 3/8) - Psi(2, 5/8)

_______________________________________________

           63 Psi(2, 1/3) - Psi(2, 1/12) - Psi(2, 5/6) - Psi(2, 7/12)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                   8 Psi(2, 1/4) - Psi(2, 1/8) - Psi(2, 5/8)

_______________________________________________

              3  1/2
      - 864 Pi  3    + 364 Psi(2, 1/4) - 112 Psi(2, 1/6) - 13 Psi(2, 1/12)

                        11
           + 13 Psi(2, ----)
                        12

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

                            3
                        2 Pi  - 56 Zeta(3) - Psi(2, 3/4)

_______________________________________________

                 3         3  1/2
           234 Pi  - 112 Pi  3    - 252 Psi(2, 1/3) + 117 Psi(2, 1/4)

_______________________________________________

                  - Psi(2, 1/3) + 8 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                            3
                      - 4 Pi  - Psi(2, 1/4) + Psi(2, 3/4)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

       3  1/2         3  1/2
 128 Pi  3    + 156 Pi  2    + 13 Psi(2, 1/8) - 32 Psi(2, 5/6) + 13 Psi(2, 3/8)

_______________________________________________

         - 64 Psi(2, 1/3) + Psi(2, 1/12) + 8 Psi(2, 2/3) + Psi(2, 7/12)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 1/3) + Psi(2, 1/6)

_______________________________________________

                       3  1/2
                 - 8 Pi  3    - 63 Psi(2, 2/3) + 9 Psi(2, 5/6)

_______________________________________________

                    - 52 Zeta(3) - Psi(2, 1/3) - Psi(2, 2/3)

_______________________________________________

                  3
          - 104 Pi  - 7 Psi(2, 1/6) - 63 Psi(2, 2/3) + 52 Psi(2, 3/4)

_______________________________________________

                 3  1/2
             8 Pi  3    - 52 Zeta(3) + Psi(2, 1/6) - 9 Psi(2, 2/3)

_______________________________________________

                        3  1/2
                  - 8 Pi  3    - 9 Psi(2, 1/3) + 9 Psi(2, 2/3)

_______________________________________________

              3  1/2
     - 1792 Pi  3    - 117 Psi(2, 1/8) + 4032 Psi(2, 2/3) - 936 Psi(2, 3/4)

          - 117 Psi(2, 5/8)

_______________________________________________

                   3        3  1/2
            - 26 Pi  + 16 Pi  3    - 13 Psi(2, 1/4) + 4 Psi(2, 1/6)

_______________________________________________

                  3  1/2
             12 Pi  2    - 448 Zeta(3) - Psi(2, 5/8) - Psi(2, 7/8)

_______________________________________________

  80 Zeta(3) - 29 Psi(2, 1/4) + Psi(2, 1/12) + 72 Psi(2, 2/3) - 29 Psi(2, 3/4)

       + Psi(2, 7/12)

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

              3  1/2
        324 Pi  2    - 104 Psi(2, 1/4) + 27 Psi(2, 1/8) + 4 Psi(2, 7/12)

                         11
             + 4 Psi(2, ----) - 27 Psi(2, 7/8)
                         12

_______________________________________________

                                                                  11
         - 3328 Zeta(3) - 72 Psi(2, 1/3) - Psi(2, 5/12) - Psi(2, ----)
                                                                  12

_______________________________________________

             3  1/2          3  1/2
       896 Pi  3    - 1404 Pi  2    + 2016 Psi(2, 1/3) - 117 Psi(2, 1/8)

            - 117 Psi(2, 3/8)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

     - 216 Psi(2, 1/6) + 91 Psi(2, 1/8) - 216 Psi(2, 5/6) + 26 Psi(2, 7/12)

                       11
          + 26 Psi(2, ----) + 91 Psi(2, 5/8)
                       12

_______________________________________________

         - 64 Psi(2, 1/3) + Psi(2, 1/12) + 8 Psi(2, 2/3) + Psi(2, 7/12)

_______________________________________________

                    3        3  1/2                          11
               56 Pi  + 32 Pi  3    + Psi(2, 1/12) - Psi(2, ----)
                                                             12

_______________________________________________

                         3  1/2
                     8 Pi  3    + Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                   - 364 Zeta(3) - Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                3  1/2
            4 Pi  3    + 26 Zeta(3) - 27 Psi(2, 1/3) + 4 Psi(2, 1/6)

_______________________________________________

     - 504 Psi(2, 1/3) + 215 Psi(2, 1/4) + 19 Psi(2, 3/4) - 7 Psi(2, 5/12)

          + 7 Psi(2, 7/12)

_______________________________________________

           3                                                           11
     104 Pi  + 8 Psi(2, 1/6) - 52 Psi(2, 3/4) + Psi(2, 5/12) + Psi(2, ----)
                                                                       12

_______________________________________________

        - Psi(2, 1/12) + 504 Psi(2, 2/3) - 64 Psi(2, 5/6) - Psi(2, 7/12)

_______________________________________________

                  Psi(2, 1/6) - 63 Psi(2, 2/3) + 8 Psi(2, 5/6)

_______________________________________________

                                                         11
                  8 Psi(2, 5/6) - Psi(2, 5/12) - Psi(2, ----)
                                                         12

_______________________________________________

        13 Psi(2, 1/4) - 4 Psi(2, 1/6) + 13 Psi(2, 3/4) - 4 Psi(2, 5/6)

_______________________________________________

                             3
                       - 2 Pi  - 56 Zeta(3) - Psi(2, 1/4)

_______________________________________________

         3  1/2
    24 Pi  2    - 8 Psi(2, 1/4) + 2 Psi(2, 1/8) + Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

                 3  1/2
          - 28 Pi  3    + 26 Zeta(3) - 27 Psi(2, 1/3) + 4 Psi(2, 5/6)

_______________________________________________

           3
     112 Pi  + Psi(2, 1/12) - 8 Psi(2, 5/6) + 2 Psi(2, 5/12) - Psi(2, 7/12)

_______________________________________________

                 3
          - 26 Pi  - 14 Psi(2, 1/3) - 14 Psi(2, 2/3) + 13 Psi(2, 3/4)

_______________________________________________

                                                                 11
          3328 Zeta(3) + 72 Psi(2, 1/3) + Psi(2, 5/12) + Psi(2, ----)
                                                                 12

_______________________________________________

     - 504 Psi(2, 2/3) + 728 Psi(2, 3/4) + 7 Psi(2, 5/12) - 26 Psi(2, 7/12)

                       11
          - 19 Psi(2, ----)
                       12

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                  3  1/2
            - 8 Pi  3    - 8 Psi(2, 1/3) + Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                          3  1/2
                    - 4 Pi  3    - 182 Zeta(3) - Psi(2, 1/6)

_______________________________________________

                        3  1/2
                 - 64 Pi  3    - 9 Psi(2, 1/6) + 63 Psi(2, 2/3)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

                 - Psi(2, 1/6) + 63 Psi(2, 2/3) - 8 Psi(2, 5/6)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

       4 Psi(2, 1/6) - 364 Psi(2, 3/4) + 4 Psi(2, 5/6) + 13 Psi(2, 7/12)

                         11
            + 13 Psi(2, ----)
                         12

_______________________________________________

                            3
                        2 Pi  - 56 Zeta(3) - Psi(2, 3/4)

_______________________________________________

             3  1/2          3  1/2
       896 Pi  3    + 1404 Pi  2    + 117 Psi(2, 1/8) - 2016 Psi(2, 2/3)

            + 117 Psi(2, 3/8)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

      - 13 Psi(2, 1/4) + 252 Psi(2, 2/3) - 13 Psi(2, 3/4) - 28 Psi(2, 5/6)

_______________________________________________

                3  1/2
           36 Pi  3    - 26 Zeta(3) + 5 Psi(2, 1/6) - 36 Psi(2, 2/3)

_______________________________________________

          3328 Zeta(3) + Psi(2, 1/12) + 72 Psi(2, 2/3) + Psi(2, 7/12)

_______________________________________________

                   8 Psi(2, 3/4) - Psi(2, 3/8) - Psi(2, 7/8)

_______________________________________________

     - 504 Psi(2, 1/3) + 215 Psi(2, 1/4) + 19 Psi(2, 3/4) - 7 Psi(2, 5/12)

          + 7 Psi(2, 7/12)

_______________________________________________

        63 Psi(2, 1/3) - 26 Psi(2, 1/4) - 26 Psi(2, 3/4) + 7 Psi(2, 5/6)

_______________________________________________

             3                                                        11
     - 104 Pi  + 112 Zeta(3) - 3 Psi(2, 1/8) + Psi(2, 7/12) + Psi(2, ----)
                                                                      12

          - 3 Psi(2, 5/8)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 1/3) + Psi(2, 1/6)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

             3  1/2
        64 Pi  3    - 504 Psi(2, 1/3) + 9 Psi(2, 1/12) + 9 Psi(2, 7/12)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    + 234 Zeta(3) + 9 Psi(2, 2/3)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                 - Psi(2, 1/6) + 63 Psi(2, 2/3) - 8 Psi(2, 5/6)

_______________________________________________
                          3  1/2
                    - 4 Pi  3    + 182 Zeta(3) + Psi(2, 5/6)

                         ______________________________

                 3  1/2
           - 4 Pi  3    + 26 Zeta(3) - 27 Psi(2, 2/3) + 4 Psi(2, 5/6)

_______________________________________________

                                                                  17
          - 27 Psi(2, 1/8) + Psi(2, 3/8) + Psi(2, 1/24) + Psi(2, ----)
                                                                  24

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                                            19
                 - 8 Psi(2, 7/12) + Psi(2, ----) + Psi(2, 7/24)
                                            24

_______________________________________________

                 3         3  1/2
           234 Pi  - 112 Pi  3    - 252 Psi(2, 1/3) + 117 Psi(2, 1/4)

_______________________________________________

                                                   19             11
          - Psi(2, 1/8) + 27 Psi(2, 3/8) - Psi(2, ----) - Psi(2, ----)
                                                   24             24

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                  3        3  1/2
             26 Pi  - 16 Pi  3    + 13 Psi(2, 1/4) - 4 Psi(2, 1/6)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    - 234 Zeta(3) - 9 Psi(2, 1/3)

_______________________________________________

          - 7 Psi(2, 1/3) + Psi(2, 1/6) - 7 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

              3  1/2
     - 1792 Pi  3    - 117 Psi(2, 1/8) + 4032 Psi(2, 2/3) - 936 Psi(2, 3/4)

          - 117 Psi(2, 5/8)

_______________________________________________

                      3  1/2
                  8 Pi  3    - 63 Psi(2, 1/3) + 9 Psi(2, 1/6)

_______________________________________________

                                                          11
                 - 8 Psi(2, 5/6) + Psi(2, 5/12) + Psi(2, ----)
                                                          12

_______________________________________________

                        3  1/2
                  - 8 Pi  3    - 9 Psi(2, 1/3) + 9 Psi(2, 2/3)

_______________________________________________

                                                   23
          - Psi(2, 5/8) + 27 Psi(2, 7/8) - Psi(2, ----) - Psi(2, 7/24)
                                                   24

_______________________________________________

                 - 63 Psi(2, 1/3) + 8 Psi(2, 1/6) + Psi(2, 5/6)

_______________________________________________

       Psi(2, 1/12) - 728 Psi(2, 3/4) + 216 Psi(2, 5/6) - 26 Psi(2, 5/12)

            + 27 Psi(2, 7/12)

_______________________________________________

       - 63 Psi(2, 1/3) + 26 Psi(2, 1/4) + 26 Psi(2, 3/4) - 7 Psi(2, 5/6)

_______________________________________________

                   - 52 Zeta(3) - 9 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                  - 8 Psi(2, 1/3) + Psi(2, 1/6) + Psi(2, 2/3)

_______________________________________________

                  - Psi(2, 1/3) + 8 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    + 234 Zeta(3) + 9 Psi(2, 2/3)

_______________________________________________

                  - 8 Psi(2, 3/4) + Psi(2, 3/8) + Psi(2, 7/8)

_______________________________________________

                       3  1/2
                  64 Pi  3    + 9 Psi(2, 1/6) - 63 Psi(2, 2/3)

_______________________________________________

                                            11                            17
 23296 Zeta(3) + 64 Psi(2, 1/6) + 8 Psi(2, ----) + Psi(2, 5/24) + Psi(2, ----)
                                            12                            24

_______________________________________________

                  3                                           11
              4 Pi  + 26 Psi(2, 3/4) - Psi(2, 7/12) - Psi(2, ----)
                                                              12

_______________________________________________

                 3  1/2
          - 28 Pi  3    + 26 Zeta(3) - 27 Psi(2, 1/3) + 4 Psi(2, 5/6)

_______________________________________________

                  Psi(2, 1/6) - 63 Psi(2, 2/3) + 8 Psi(2, 5/6)

_______________________________________________

           3                                                          11
      56 Pi  - 1872 Zeta(3) - 72 Psi(2, 1/3) + Psi(2, 1/12) - Psi(2, ----)
                                                                      12

_______________________________________________

                       3  1/2
                   8 Pi  3    + 9 Psi(2, 1/3) - 9 Psi(2, 2/3)

_______________________________________________

                                                         11
                  8 Psi(2, 5/6) - Psi(2, 5/12) - Psi(2, ----)
                                                         12

_______________________________________________

                  3         3  1/2
         - 1872 Pi  + 896 Pi  3    - 2016 Psi(2, 2/3) + 117 Psi(2, 3/8)

              + 117 Psi(2, 7/8)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                 - 63 Psi(2, 1/3) + 8 Psi(2, 1/6) + Psi(2, 5/6)

_______________________________________________

                3  1/2
            4 Pi  3    + 26 Zeta(3) - 27 Psi(2, 1/3) + 4 Psi(2, 1/6)

_______________________________________________

                                           19
                  8 Psi(2, 7/12) - Psi(2, ----) - Psi(2, 7/24)
                                           24

_______________________________________________

                   - 112 Zeta(3) - Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                 3
           104 Pi  + 63 Psi(2, 1/3) - 52 Psi(2, 3/4) + 7 Psi(2, 5/6)

_______________________________________________

                       3  1/2
                   8 Pi  3    + 9 Psi(2, 1/3) - 9 Psi(2, 2/3)

_______________________________________________

                    - 52 Zeta(3) - Psi(2, 1/3) - Psi(2, 2/3)

_______________________________________________

       13 Psi(2, 1/4) - 252 Psi(2, 2/3) + 13 Psi(2, 3/4) + 28 Psi(2, 5/6)

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 1/3) - Psi(2, 1/6)

_______________________________________________

                  3        3  1/2
             26 Pi  - 16 Pi  3    + 13 Psi(2, 1/4) - 4 Psi(2, 1/6)

_______________________________________________

                                                           17
                 - 8 Psi(2, 5/12) + Psi(2, 5/24) + Psi(2, ----)
                                                           24

_______________________________________________

                    52 Zeta(3) + 9 Psi(2, 1/3) - Psi(2, 1/6)

_______________________________________________

                 - Psi(2, 1/6) + 63 Psi(2, 2/3) - 8 Psi(2, 5/6)

_______________________________________________

                         3  1/2
                   - 4 Pi  3    + 234 Zeta(3) + 9 Psi(2, 2/3)

_______________________________________________

                    112 Zeta(3) + Psi(2, 1/4) + Psi(2, 3/4)

bytes used=1000340, alloc=262096, time=1.28
_______________________________________________

     - 224 Psi(2, 1/3) + 104 Psi(2, 1/4) - 224 Psi(2, 2/3) + 13 Psi(2, 3/8)

          + 13 Psi(2, 7/8)

_______________________________________________

                    364 Zeta(3) + Psi(2, 1/6) + Psi(2, 5/6)

_______________________________________________

                  63 Psi(2, 1/3) - 8 Psi(2, 1/6) - Psi(2, 5/6)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                       3  1/2
                 - 8 Pi  3    - 63 Psi(2, 2/3) + 9 Psi(2, 5/6)

_______________________________________________

                            3
                      - 4 Pi  - Psi(2, 1/4) + Psi(2, 3/4)

_______________________________________________

                 - 8 Psi(2, 1/6) + Psi(2, 1/12) + Psi(2, 7/12)

_______________________________________________

                                                           13
                 - 8 Psi(2, 1/12) + Psi(2, 1/24) + Psi(2, ----)
                                                           24

_______________________________________________

                  3
              4 Pi  - 26 Psi(2, 1/4) + Psi(2, 1/12) + Psi(2, 5/12)

_______________________________________________

                                            19
                 - 8 Psi(2, 7/12) + Psi(2, ----) + Psi(2, 7/24)
                                            24

_______________________________________________

                                           19
                  8 Psi(2, 7/12) - Psi(2, ----) - Psi(2, 7/24)
                                           24

_______________________________________________

                  - Psi(2, 1/3) + 8 Psi(2, 2/3) - Psi(2, 5/6)

_______________________________________________

                   Psi(2, 1/3) - 8 Psi(2, 2/3) + Psi(2, 5/6)

_______________________________________________

                                                  19             11
           Psi(2, 1/8) - 27 Psi(2, 3/8) + Psi(2, ----) + Psi(2, ----)
                                                  24             24

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                                                           13
                 - 8 Psi(2, 1/12) + Psi(2, 1/24) + Psi(2, ----)
                                                           24

_______________________________________________

            3        3  1/2                                          11
       56 Pi  + 32 Pi  3    + 8 Psi(2, 1/6) - Psi(2, 7/12) - Psi(2, ----)
                                                                     12

_______________________________________________

                   3        3  1/2
            - 26 Pi  - 16 Pi  3    - 4 Psi(2, 1/6) + 13 Psi(2, 3/4)

_______________________________________________

                  Psi(2, 1/6) - 63 Psi(2, 2/3) + 8 Psi(2, 5/6)

_______________________________________________

                       3  1/2
                  64 Pi  3    + 63 Psi(2, 1/3) - 9 Psi(2, 5/6)

_______________________________________________

                                                                           19
24192 Zeta(3) + 28 Psi(2, 1/8) + 27 Psi(2, 5/8) + 27 Psi(2, 7/8) + Psi(2, ----)
                                                                           24

               11
     + Psi(2, ----)
               24

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                  - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

_______________________________________________

                           3
                       4 Pi  + Psi(2, 1/4) - Psi(2, 3/4)

_______________________________________________

                   3
             108 Pi  + Psi(2, 1/12) - 26 Psi(2, 3/4) + Psi(2, 5/12)

_______________________________________________


                 15 Psi(1, 2/3) - Psi(1, 1/6) - 4 Psi(1, 5/6)

________________________________________________
                   2  1/2
             - 2 Pi  2    + Psi(1, 1/8) - Psi(1, 3/8) - 32 Catalan

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
       2  1/2
 - 4 Pi  3    + 15 Psi(1, 1/3) - 7 Psi(1, 1/6) + 5 Psi(1, 1/8) + 5 Psi(1, 5/8)

      - Psi(1, 1/12) - 3 Psi(1, 5/12)

________________________________________________
                                                                      2  1/2
  - 10 Psi(1, 1/4) + 5 Psi(1, 1/5) + 5 Psi(1, 4/5) + 80 Catalan - 2 Pi  5

________________________________________________
        2  1/2
    2 Pi  3    + 30 Psi(1, 2/3) - 8 Psi(1, 5/6) - Psi(1, 1/12) + 40 Catalan

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
        - 15 Psi(1, 1/3) + 16 Psi(1, 3/4) - 3 Psi(1, 5/6) + 128 Catalan

________________________________________________
        2  1/2
    2 Pi  2    + 15 Psi(1, 2/3) - 3 Psi(1, 5/6) - Psi(1, 1/8) - Psi(1, 7/8)

________________________________________________
                 15 Psi(1, 2/3) - Psi(1, 1/6) - 4 Psi(1, 5/6)

________________________________________________

                   - Psi(1, 1/4) + Psi(1, 3/4) + 16 Catalan

________________________________________________
        15 Psi(1, 1/3) - 2 Psi(1, 1/4) - 2 Psi(1, 3/4) - 3 Psi(1, 1/6)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
              2  1/2
        - 8 Pi  3    - 47 Psi(1, 1/3) - 7 Psi(1, 2/3) + 20 Psi(1, 3/4)

             + 4 Psi(1, 1/12)

________________________________________________
                 15 Psi(1, 1/3) - 4 Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
      2  1/2
- 2 Pi  3    + 30 Psi(1, 2/3) - 16 Psi(1, 3/4) - 2 Psi(1, 5/12) + Psi(1, 7/12)

     - 8 Catalan

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
                          2
                    - 4 Pi  + 3 Psi(1, 1/3) + 3 Psi(1, 2/3)

________________________________________________
       40 Psi(1, 1/5) + 40 Psi(1, 4/5) - 20 Psi(1, 5/6) - 5 Psi(1, 1/12)

                                    2  1/2
            - 5 Psi(1, 7/12) - 16 Pi  5

________________________________________________
                            2
                        - Pi  + Psi(1, 3/4) + 8 Catalan

________________________________________________
           2  1/2
     - 2 Pi  2    + 4 Psi(1, 1/4) - Psi(1, 3/8) - Psi(1, 5/8) - 32 Catalan

________________________________________________
                 15 Psi(1, 2/3) - Psi(1, 1/6) - 4 Psi(1, 5/6)

________________________________________________
- 15 Psi(1, 2/3) - 3 Psi(1, 1/6) + 4 Psi(1, 1/8) + 4 Psi(1, 5/8) - 128 Catalan

________________________________________________
        2  1/2
    4 Pi  3    - 15 Psi(1, 1/3) + Psi(1, 5/6) + 2 Psi(1, 7/12) + 80 Catalan

________________________________________________
                   2
            - 16 Pi  + 4 Psi(1, 5/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                    Psi(1, 1/4) - Psi(1, 3/4) - 16 Catalan

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
             2  1/2       2
       - 2 Pi  3    - 4 Pi  - 2 Psi(1, 1/6) + Psi(1, 3/8) + Psi(1, 7/8)

            + Psi(1, 1/12) - 8 Catalan

________________________________________________
          3 Psi(1, 1/3) + 3 Psi(1, 2/3) - 4 Psi(1, 3/4) - 32 Catalan

________________________________________________
      2  1/2                                                            11
  4 Pi  3    - 30 Psi(1, 2/3) + 10 Psi(1, 5/6) + Psi(1, 7/12) - Psi(1, ----)
                                                                        12

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________

        2  1/2
    2 Pi  2    + 15 Psi(1, 1/3) - 3 Psi(1, 1/6) - Psi(1, 1/8) - Psi(1, 7/8)

________________________________________________

                    Psi(1, 1/4) - Psi(1, 3/4) - 16 Catalan

________________________________________________
                            2
                      - 2 Pi  + Psi(1, 1/4) + Psi(1, 3/4)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
        2  1/2
  - 2 Pi  3    + 5 Psi(1, 1/3) - 5 Psi(1, 2/3) + 4 Psi(1, 3/4) - Psi(1, 7/12)

       - 8 Catalan

________________________________________________
 - 4 Psi(1, 5/6) + 2 Psi(1, 1/8) + 2 Psi(1, 5/8) + Psi(1, 5/12) - Psi(1, 7/12)

      - 144 Catalan

________________________________________________
           2  1/2       2
       2 Pi  3    - 5 Pi  + 5 Psi(1, 1/4) - 2 Psi(1, 1/6) + Psi(1, 7/12)

________________________________________________
   - 15 Psi(1, 1/3) + 3 Psi(1, 1/6) + Psi(1, 3/8) + Psi(1, 7/8) + 32 Catalan

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
      2  1/2
  6 Pi  3    - 30 Psi(1, 1/3) + 8 Psi(1, 3/4) + 3 Psi(1, 7/12) + 184 Catalan

________________________________________________
                   - Psi(1, 1/4) + Psi(1, 3/4) + 16 Catalan

________________________________________________
                  2                                           11
             18 Pi  - 10 Psi(1, 1/4) - Psi(1, 7/12) - Psi(1, ----)
                                                              12

________________________________________________
      2  1/2                                                            11
  4 Pi  3    - 10 Psi(1, 1/3) + 10 Psi(1, 2/3) + Psi(1, 7/12) - Psi(1, ----)
                                                                        12

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
                                                                 11
          - Psi(1, 1/4) + 9 Psi(1, 3/4) - Psi(1, 7/12) - Psi(1, ----)
                                                                 12

________________________________________________
                 15 Psi(1, 2/3) - Psi(1, 1/6) - 4 Psi(1, 5/6)

________________________________________________
                 2                                           11
             2 Pi  - 10 Psi(1, 3/4) + Psi(1, 7/12) + Psi(1, ----)
                                                             12

________________________________________________
                - 15 Psi(1, 1/3) + 4 Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
          15 Psi(1, 1/3) - Psi(1, 5/6) - Psi(1, 1/12) - Psi(1, 7/12)

________________________________________________
                          2
                    - 4 Pi  + 3 Psi(1, 1/3) + 3 Psi(1, 2/3)

________________________________________________
        2  1/2
    4 Pi  2    + 4 Psi(1, 1/4) - 2 Psi(1, 1/8) + Psi(1, 3/8) - Psi(1, 7/8)

________________________________________________
                  - Psi(1, 1/3) + 4 Psi(1, 2/3) - Psi(1, 5/6)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                   4 Psi(1, 3/4) - Psi(1, 3/8) - Psi(1, 7/8)

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
                    2
              - 8 Pi  + 4 Psi(1, 3/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
            2  1/2
       20 Pi  3    + 240 Psi(1, 2/3) - 120 Psi(1, 1/4) + 7 Psi(1, 1/12)

                         11
            - 17 Psi(1, ----)
                         12

________________________________________________
                     2       2  1/2
               - 4 Pi  - 2 Pi  2    + Psi(1, 1/8) + Psi(1, 7/8)

________________________________________________
        2  1/2
  - 8 Pi  2    + 4 Psi(1, 5/6) - 4 Psi(1, 3/8) - 4 Psi(1, 5/8) + Psi(1, 1/12)

       + Psi(1, 7/12)

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
          - 9 Psi(1, 1/4) + Psi(1, 3/4) + Psi(1, 1/12) + Psi(1, 5/12)

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
        2
 - 10 Pi  + 60 Psi(1, 1/3) - 30 Psi(1, 1/4) + 3 Psi(1, 5/12) - 3 Psi(1, 7/12)

________________________________________________
                    2
              - 8 Pi  + Psi(1, 1/12) + Psi(1, 5/12) - 80 Catalan

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
        - 3 Psi(1, 1/3) - 3 Psi(1, 2/3) + 2 Psi(1, 1/4) + 2 Psi(1, 3/4)

________________________________________________
                                                                       2  1/2
 - 5 Psi(1, 1/4) - 5 Psi(1, 3/4) + 5 Psi(1, 1/5) + 5 Psi(1, 4/5) - 2 Pi  5

________________________________________________
             2
         4 Pi  - Psi(1, 1/5) - Psi(1, 2/5) - Psi(1, 3/5) - Psi(1, 4/5)

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
       15 Psi(1, 2/3) + 10 Psi(1, 1/5) + 10 Psi(1, 4/5) - 6 Psi(1, 1/6)

                                  2  1/2
            - 9 Psi(1, 5/6) - 4 Pi  5

________________________________________________
       15 Psi(1, 1/3) - 80 Psi(1, 1/4) + 3 Psi(1, 5/6) + 8 Psi(1, 1/12)

            + 8 Psi(1, 5/12)

________________________________________________
              2  1/2
       - 20 Pi  3    + 20 Psi(1, 1/5) + 20 Psi(1, 4/5) - 5 Psi(1, 5/12)

                                   2  1/2
            - 5 Psi(1, 7/12) - 8 Pi  5

________________________________________________
                           2
                       4 Pi  - Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
                           2
                       2 Pi  - Psi(1, 1/4) - Psi(1, 3/4)

________________________________________________
        - 15 Psi(1, 1/3) + 16 Psi(1, 1/4) - 3 Psi(1, 5/6) - 128 Catalan

________________________________________________
                    2                                       2  1/2
             - 10 Pi  + 5 Psi(1, 2/5) + 5 Psi(1, 3/5) + 2 Pi  5

________________________________________________
             2  1/2
        36 Pi  3    - 40 Psi(1, 3/4) - 4 Psi(1, 1/12) + 5 Psi(1, 5/12)

             + 9 Psi(1, 7/12)

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
                            2
                        - Pi  + Psi(1, 1/4) - 8 Catalan

________________________________________________
         2  1/2                                           11
   - 2 Pi  3    - 8 Psi(1, 3/4) + 2 Psi(1, 1/6) + Psi(1, ----) - 24 Catalan
                                                          12

________________________________________________
          - 8 Psi(1, 3/4) + Psi(1, 1/12) + Psi(1, 5/12) - 144 Catalan

________________________________________________
                          2
                   - 16 Pi  + 15 Psi(1, 2/3) + 3 Psi(1, 1/6)

________________________________________________
                 15 Psi(1, 2/3) - Psi(1, 1/6) - 4 Psi(1, 5/6)

________________________________________________
        - 60 Psi(1, 2/3) + 16 Psi(1, 5/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                                                                          11
60 Psi(1, 1/3) - 4 Psi(1, 1/12) - Psi(1, 5/12) - 4 Psi(1, 7/12) - Psi(1, ----)
                                                                          12

________________________________________________
        2  1/2
  - 6 Pi  3    - 30 Psi(1, 1/3) + 4 Psi(1, 1/12) + Psi(1, 5/12) - 200 Catalan

________________________________________________
                   4 Psi(1, 1/4) - Psi(1, 1/8) - Psi(1, 5/8)

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
      2  1/2
 18 Pi  2    - 16 Psi(1, 3/4) - 9 Psi(1, 1/8) + 9 Psi(1, 3/8) + 2 Psi(1, 1/12)

      + 2 Psi(1, 5/12)

________________________________________________
           2  1/2       2
       2 Pi  3    - 5 Pi  + 5 Psi(1, 3/4) - 2 Psi(1, 5/6) + Psi(1, 5/12)

________________________________________________
                    2
                4 Pi  - Psi(1, 1/8) - Psi(1, 5/8) + 32 Catalan

________________________________________________
              2  1/2
       - 32 Pi  3    - 75 Psi(1, 2/3) + 80 Psi(1, 3/4) + 17 Psi(1, 1/6)

            - 16 Psi(1, 7/12)

________________________________________________
   4 Psi(1, 1/4) - 2 Psi(1, 1/6) - 2 Psi(1, 5/6) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
                           2
                         Pi  - Psi(1, 3/4) - 8 Catalan

________________________________________________
       15 Psi(1, 1/3) + 35 Psi(1, 5/6) - 20 Psi(1, 1/8) - 20 Psi(1, 5/8)

                                         11
            + 8 Psi(1, 1/12) - 8 Psi(1, ----)
                                         12

________________________________________________
                    2  1/2       2
              - 4 Pi  3    + 8 Pi  - Psi(1, 5/12) - Psi(1, 7/12)

________________________________________________
                            2
                        - Pi  + Psi(1, 1/4) - 8 Catalan

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
                        2
                    4 Pi  - 15 Psi(1, 1/3) + 3 Psi(1, 1/6)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
                                                  11
           8 Psi(1, 1/4) - Psi(1, 7/12) - Psi(1, ----) - 144 Catalan
                                                  12

________________________________________________
                2  1/2                           11
            2 Pi  3    + 2 Psi(1, 5/6) - Psi(1, ----) - 40 Catalan
                                                 12

________________________________________________
          3 Psi(1, 1/3) + 3 Psi(1, 2/3) - 4 Psi(1, 3/4) - 32 Catalan

________________________________________________
         - 3 Psi(1, 1/3) - 3 Psi(1, 2/3) + 4 Psi(1, 3/4) + 32 Catalan

________________________________________________
                  - Psi(1, 1/3) + 4 Psi(1, 2/3) - Psi(1, 5/6)

________________________________________________
                   4 Psi(1, 3/4) - Psi(1, 3/8) - Psi(1, 7/8)

________________________________________________
                2  1/2
            2 Pi  3    + 2 Psi(1, 1/6) - Psi(1, 1/12) + 40 Catalan

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
         2  1/2
   - 2 Pi  2    - 15 Psi(1, 2/3) + 3 Psi(1, 5/6) + Psi(1, 1/8) + Psi(1, 7/8)

________________________________________________
       2                                                                11
  70 Pi  - 60 Psi(1, 1/3) - 30 Psi(1, 1/4) + 3 Psi(1, 1/12) - 3 Psi(1, ----)
                                                                        12

________________________________________________
                         2
                    16 Pi  - 15 Psi(1, 2/3) - 3 Psi(1, 1/6)

________________________________________________
              2  1/2
        - 8 Pi  3    - 75 Psi(1, 1/3) + 20 Psi(1, 3/4) + 7 Psi(1, 1/6)

             + 4 Psi(1, 1/12)

________________________________________________
               2  1/2
        - 12 Pi  3    - 60 Psi(1, 1/3) - 7 Psi(1, 1/4) + 23 Psi(1, 3/4)

             + 6 Psi(1, 1/12)

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
                   - Psi(1, 1/4) + Psi(1, 3/4) + 16 Catalan

________________________________________________
                           2
                         Pi  - Psi(1, 1/4) + 8 Catalan

________________________________________________
                    2       2  1/2
                4 Pi  + 2 Pi  2    - Psi(1, 1/8) - Psi(1, 7/8)

________________________________________________
        - 15 Psi(1, 1/3) + 16 Psi(1, 3/4) - 3 Psi(1, 5/6) + 128 Catalan

________________________________________________
                                                   11
          - 8 Psi(1, 3/4) + Psi(1, 7/12) + Psi(1, ----) + 16 Catalan
                                                   12

________________________________________________
        - 15 Psi(1, 1/3) + 16 Psi(1, 1/4) - 3 Psi(1, 5/6) - 128 Catalan

________________________________________________
                          2
                   - 16 Pi  + 15 Psi(1, 2/3) + 3 Psi(1, 1/6)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
                           2
                         Pi  - Psi(1, 3/4) - 8 Catalan

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
       2  1/2                                                            11
 - 4 Pi  3    + 10 Psi(1, 1/3) - 10 Psi(1, 2/3) - Psi(1, 7/12) + Psi(1, ----)
                                                                         12

________________________________________________
                           2
                       4 Pi  - Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
                   2
            - 18 Pi  + 10 Psi(1, 3/4) + Psi(1, 1/12) + Psi(1, 5/12)

________________________________________________
                 15 Psi(1, 1/3) - 4 Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
              2
        - 4 Pi  + Psi(1, 1/5) + Psi(1, 2/5) + Psi(1, 3/5) + Psi(1, 4/5)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
              2  1/2
        - 4 Pi  3    - 40 Psi(1, 1/4) + 4 Psi(1, 5/6) + 5 Psi(1, 1/12)

             + 3 Psi(1, 5/12)

________________________________________________
                 2  1/2
           - 2 Pi  3    + 2 Psi(1, 1/6) - Psi(1, 7/12) - 40 Catalan

________________________________________________
                           2
                         Pi  - Psi(1, 1/4) + 8 Catalan

________________________________________________
                          2
                   - 16 Pi  + 15 Psi(1, 1/3) + 3 Psi(1, 5/6)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
       2  1/2
   4 Pi  3    - 6 Psi(1, 1/3) - 6 Psi(1, 2/3) + Psi(1, 5/12) + Psi(1, 7/12)

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
                2  1/2
            2 Pi  3    + 2 Psi(1, 1/6) - Psi(1, 1/12) + 40 Catalan

________________________________________________
       15 Psi(1, 1/3) - 20 Psi(1, 3/4) + 5 Psi(1, 1/6) - 2 Psi(1, 1/12)

                        11
            + 2 Psi(1, ----)
                        12

________________________________________________
      - 240 Psi(1, 1/3) + 140 Psi(1, 1/4) + 5 Psi(1, 3/8) + 5 Psi(1, 7/8)

           - 12 Psi(1, 5/12) + 12 Psi(1, 7/12)

________________________________________________
                                                                 11
         - 15 Psi(1, 2/3) + Psi(1, 1/6) + Psi(1, 5/12) + Psi(1, ----)
                                                                 12

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
             2       2  1/2
       - 2 Pi  + 2 Pi  2    - 6 Psi(1, 3/4) + Psi(1, 5/8) - Psi(1, 7/8)

                                     11
            + Psi(1, 7/12) + Psi(1, ----)
                                     12

________________________________________________
           - 4 Psi(1, 1/4) + Psi(1, 3/8) + Psi(1, 7/8) + 64 Catalan

________________________________________________
                            2
                      - 2 Pi  + Psi(1, 1/4) + Psi(1, 3/4)

________________________________________________
              2  1/2
       - 48 Pi  3    - 240 Psi(1, 2/3) - 28 Psi(1, 3/4) + 23 Psi(1, 1/8)

                                          11
            + 23 Psi(1, 5/8) + 24 Psi(1, ----)
                                          12

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
            4 Psi(1, 3/4) - Psi(1, 1/8) - Psi(1, 5/8) + 64 Catalan

________________________________________________
             2       2  1/2
       - 4 Pi  + 2 Pi  2    + 4 Psi(1, 1/4) - Psi(1, 1/8) + Psi(1, 3/8)

________________________________________________
                    2
              - 4 Pi  + 4 Psi(1, 1/3) - Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
       - 50 Psi(1, 1/4) + 5 Psi(1, 1/5) + 5 Psi(1, 4/5) + 5 Psi(1, 1/12)

                                   2  1/2
            + 5 Psi(1, 5/12) - 2 Pi  5

________________________________________________
                        2
                    4 Pi  - 15 Psi(1, 2/3) + 3 Psi(1, 5/6)

________________________________________________
              2  1/2
       - 28 Pi  3    + 60 Psi(1, 1/3) - 40 Psi(1, 1/4) + 4 Psi(1, 1/12)

                                         11
            - 7 Psi(1, 7/12) + 3 Psi(1, ----)
                                         12

________________________________________________
                   - Psi(1, 1/4) + Psi(1, 3/4) + 16 Catalan

________________________________________________
                          2
                    - 4 Pi  + 3 Psi(1, 1/3) + 3 Psi(1, 2/3)

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
          2        2  1/2
     16 Pi  - 10 Pi  2    - 5 Psi(1, 5/8) + 5 Psi(1, 7/8) - 2 Psi(1, 7/12)

                      11
          - 2 Psi(1, ----)
                      12

________________________________________________
              2  1/2
        - 6 Pi  3    + 15 Psi(1, 1/3) - 16 Psi(1, 3/4) + 9 Psi(1, 5/6)

             - 3 Psi(1, 5/12) - 8 Catalan

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
                            2
                      - 4 Pi  + Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
            4 Psi(1, 1/4) - Psi(1, 1/6) - Psi(1, 5/6) - 32 Catalan

________________________________________________
           2  1/2        2
     - 8 Pi  3    + 20 Pi  + 8 Psi(1, 5/6) - 5 Psi(1, 3/8) - 5 Psi(1, 7/8)

          - 4 Psi(1, 5/12)

________________________________________________
   Psi(1, 1/4) - 9 Psi(1, 3/4) + 4 Psi(1, 5/6) - Psi(1, 5/12) + Psi(1, 7/12)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
           2                                                           11
    - 16 Pi  + 30 Psi(1, 2/3) + 2 Psi(1, 1/6) - Psi(1, 5/12) - Psi(1, ----)
                                                                       12

________________________________________________
          2                                                           11
     18 Pi  - 10 Psi(1, 1/4) - 4 Psi(1, 1/6) + Psi(1, 1/12) - Psi(1, ----)
                                                                      12

________________________________________________
        - 16 Psi(1, 1/3) + 4 Psi(1, 2/3) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                            2
                        - Pi  + Psi(1, 3/4) + 8 Catalan

________________________________________________
   - 15 Psi(1, 2/3) + 3 Psi(1, 5/6) + Psi(1, 3/8) + Psi(1, 7/8) + 32 Catalan

________________________________________________
                                                  11
           8 Psi(1, 1/4) - Psi(1, 7/12) - Psi(1, ----) - 144 Catalan
                                                  12

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
                   4 Psi(1, 1/3) - Psi(1, 2/3) - Psi(1, 1/6)

________________________________________________
         2
     2 Pi  + 15 Psi(1, 1/3) + 6 Psi(1, 3/4) - 3 Psi(1, 1/6) - Psi(1, 1/8)

                                                 11
          - Psi(1, 5/8) - Psi(1, 7/12) - Psi(1, ----)
                                                 12

________________________________________________
                                                                11
           Psi(1, 1/4) - 9 Psi(1, 3/4) + Psi(1, 7/12) + Psi(1, ----)
                                                                12

________________________________________________
         2
    40 Pi  - 60 Psi(1, 2/3) + 3 Psi(1, 5/12) - 3 Psi(1, 7/12) - 240 Catalan

________________________________________________
          2  1/2
    - 4 Pi  3    - 4 Psi(1, 3/4) - Psi(1, 1/8) - Psi(1, 5/8) + Psi(1, 1/12)

                   11
         + Psi(1, ----)
                   12

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
     540 Psi(1, 1/3) - 320 Psi(1, 1/4) + 27 Psi(1, 5/12) - 32 Psi(1, 7/12)

                      11
          - 5 Psi(1, ----)
                      12

________________________________________________
         - 3 Psi(1, 1/3) - 3 Psi(1, 2/3) + 4 Psi(1, 3/4) + 32 Catalan

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
      2  1/2
  8 Pi  2    + 15 Psi(1, 2/3) + 3 Psi(1, 1/6) - 4 Psi(1, 1/8) - 4 Psi(1, 7/8)

________________________________________________
                         2
                   - 4 Pi  + 15 Psi(1, 1/3) - 3 Psi(1, 1/6)

________________________________________________
                 2  1/2
           - 2 Pi  3    + 2 Psi(1, 5/6) - Psi(1, 5/12) + 40 Catalan

________________________________________________
      - 15 Psi(1, 2/3) + 5 Psi(1, 1/6) + 2 Psi(1, 5/12) - 2 Psi(1, 7/12)

           - 160 Catalan

________________________________________________
         2  1/2
   - 4 Pi  2    + 4 Psi(1, 1/4) - Psi(1, 3/8) - 2 Psi(1, 5/8) + Psi(1, 7/8)

________________________________________________
      135 Psi(1, 2/3) - 80 Psi(1, 1/4) + 27 Psi(1, 1/6) - 8 Psi(1, 7/12)

                       11
           - 8 Psi(1, ----)
                       12

________________________________________________
                            2
                      - 2 Pi  + Psi(1, 1/4) + Psi(1, 3/4)

________________________________________________
                 15 Psi(1, 1/3) - 4 Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
                           2
                         Pi  - Psi(1, 3/4) - 8 Catalan

________________________________________________
                   2                                          11
            - 16 Pi  + 4 Psi(1, 1/6) + Psi(1, 5/12) + Psi(1, ----)
                                                              12

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
     - 135 Psi(1, 2/3) + 20 Psi(1, 3/4) + 27 Psi(1, 5/6) + 2 Psi(1, 1/12)

          + 2 Psi(1, 5/12)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
        - 15 Psi(1, 1/3) + 16 Psi(1, 3/4) - 3 Psi(1, 5/6) + 128 Catalan

________________________________________________
        - 16 Psi(1, 1/3) + 4 Psi(1, 2/3) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                           2
                         Pi  - Psi(1, 1/4) + 8 Catalan

________________________________________________
       15 Psi(1, 1/3) - 80 Psi(1, 1/4) + 3 Psi(1, 5/6) + 8 Psi(1, 1/12)

            + 8 Psi(1, 5/12)

________________________________________________
                        2
                    4 Pi  - 15 Psi(1, 2/3) + 3 Psi(1, 5/6)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
                2                                               11
           16 Pi  - 60 Psi(1, 2/3) + 3 Psi(1, 5/12) + 3 Psi(1, ----)
                                                                12

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
            4 Psi(1, 1/4) - Psi(1, 3/8) - Psi(1, 7/8) - 64 Catalan

________________________________________________
                    2  1/2       2                          11
              - 4 Pi  3    - 8 Pi  + Psi(1, 1/12) + Psi(1, ----)
                                                            12

________________________________________________
              2  1/2
       - 32 Pi  3    - 45 Psi(1, 2/3) - 80 Psi(1, 3/4) + 23 Psi(1, 1/6)

                         11
            + 16 Psi(1, ----)
                         12

________________________________________________
              2  1/2
        - 8 Pi  3    - 23 Psi(1, 1/3) + 17 Psi(1, 2/3) + 20 Psi(1, 1/4)

             - 4 Psi(1, 5/12)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
       2  1/2
 - 8 Pi  2    - 15 Psi(1, 1/3) - 3 Psi(1, 5/6) + 4 Psi(1, 1/8) + 4 Psi(1, 7/8)

________________________________________________
                   2
            - 16 Pi  + 4 Psi(1, 5/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                   2  1/2       2
               4 Pi  3    - 8 Pi  + Psi(1, 5/12) + Psi(1, 7/12)

________________________________________________
                    Psi(1, 1/4) - Psi(1, 3/4) - 16 Catalan

________________________________________________
                         2
                    16 Pi  - 15 Psi(1, 2/3) - 3 Psi(1, 1/6)

________________________________________________
                  - 4 Psi(1, 1/3) + Psi(1, 2/3) + Psi(1, 1/6)

________________________________________________
      2  1/2
  8 Pi  2    - 15 Psi(1, 2/3) - 3 Psi(1, 1/6) + 4 Psi(1, 3/8) + 4 Psi(1, 5/8)

________________________________________________
         2
    40 Pi  - 60 Psi(1, 1/3) - 3 Psi(1, 5/12) + 3 Psi(1, 7/12) + 240 Catalan

________________________________________________
- 15 Psi(1, 1/3) - 3 Psi(1, 5/6) + 4 Psi(1, 1/8) + 4 Psi(1, 5/8) - 128 Catalan

________________________________________________
                           2
                         Pi  - Psi(1, 3/4) - 8 Catalan

________________________________________________
                  2  1/2
              2 Pi  2    - Psi(1, 1/8) + Psi(1, 3/8) + 32 Catalan

________________________________________________
                - 15 Psi(1, 2/3) + Psi(1, 1/6) + 4 Psi(1, 5/6)

________________________________________________
                         2
                   - 4 Pi  + 15 Psi(1, 1/3) - 3 Psi(1, 1/6)

________________________________________________
                                                                     11
      - 60 Psi(1, 2/3) + 2 Psi(1, 1/12) + 5 Psi(1, 5/12) + 3 Psi(1, ----)
                                                                     12

           - 160 Catalan

________________________________________________
                         2
                     4 Pi  - 3 Psi(1, 1/3) - 3 Psi(1, 2/3)

________________________________________________
                            2
                      - 2 Pi  + Psi(1, 1/4) + Psi(1, 3/4)

________________________________________________
        - 3 Psi(1, 1/3) - 3 Psi(1, 2/3) + 2 Psi(1, 1/4) + 2 Psi(1, 3/4)

________________________________________________
                 2                                           11
             2 Pi  - 10 Psi(1, 3/4) + Psi(1, 7/12) + Psi(1, ----)
                                                             12

________________________________________________
                2                                               11
           16 Pi  - 60 Psi(1, 2/3) + 3 Psi(1, 5/12) + 3 Psi(1, ----)
                                                                12

________________________________________________
          2  1/2
    - 4 Pi  3    - 4 Psi(1, 1/4) - Psi(1, 3/8) - Psi(1, 7/8) + Psi(1, 1/12)

                   11
         + Psi(1, ----)
                   12

________________________________________________
        50 Psi(1, 3/4) - 5 Psi(1, 1/5) - 5 Psi(1, 4/5) - 5 Psi(1, 7/12)

                         11         2  1/2
             - 5 Psi(1, ----) + 2 Pi  5
                         12

________________________________________________
                  2
             18 Pi  - 10 Psi(1, 3/4) - Psi(1, 1/12) - Psi(1, 5/12)

________________________________________________
                         2
                    16 Pi  - 15 Psi(1, 1/3) - 3 Psi(1, 5/6)

________________________________________________
 - 30 Psi(1, 1/3) + 10 Psi(1, 1/6) + Psi(1, 5/12) - Psi(1, 7/12) - 80 Catalan

________________________________________________
                          2
                   - 16 Pi  + 15 Psi(1, 2/3) + 3 Psi(1, 1/6)

________________________________________________
                   Psi(1, 1/3) - 4 Psi(1, 2/3) + Psi(1, 5/6)

________________________________________________
                 2  1/2
             4 Pi  3    - Psi(1, 1/12) + Psi(1, 7/12) + 80 Catalan

________________________________________________
                    Psi(1, 1/4) - Psi(1, 3/4) - 16 Catalan

________________________________________________
  30 Psi(1, 2/3) - 10 Psi(1, 5/6) + Psi(1, 5/12) - Psi(1, 7/12) - 80 Catalan

________________________________________________
        2  1/2
  - 6 Pi  3    + 30 Psi(1, 2/3) - 8 Psi(1, 3/4) - 3 Psi(1, 5/12) + 56 Catalan

________________________________________________
                         2
                    16 Pi  - 15 Psi(1, 1/3) - 3 Psi(1, 5/6)

________________________________________________
       2  1/2
   6 Pi  3    - 30 Psi(1, 2/3) + 8 Psi(1, 3/4) + 3 Psi(1, 5/12) - 56 Catalan

________________________________________________
                   2
               8 Pi  - 4 Psi(1, 1/4) - Psi(1, 3/8) - Psi(1, 7/8)

________________________________________________
        - 15 Psi(1, 1/3) + 16 Psi(1, 1/4) - 3 Psi(1, 5/6) - 128 Catalan

________________________________________________
                                                                  11
        - 4 Psi(1, 1/3) + 16 Psi(1, 2/3) - Psi(1, 5/12) - Psi(1, ----)
                                                                  12

________________________________________________
           2  1/2        2                                           11
     - 2 Pi  3    - 13 Pi  + 5 Psi(1, 1/4) + 2 Psi(1, 1/6) + Psi(1, ----)
                                                                     12

________________________________________________
                                                          11
                 - 4 Psi(1, 5/6) + Psi(1, 5/12) + Psi(1, ----)
                                                          12

________________________________________________
                   2                                       2  1/2
              10 Pi  - 5 Psi(1, 2/5) - 5 Psi(1, 3/5) - 2 Pi  5

________________________________________________
                         2
                    16 Pi  - 15 Psi(1, 2/3) - 3 Psi(1, 1/6)

________________________________________________
                   4 Psi(1, 1/3) - Psi(1, 2/3) - Psi(1, 1/6)

________________________________________________
                           2
                         Pi  - Psi(1, 1/4) + 8 Catalan

________________________________________________
         3 Psi(1, 1/3) + 3 Psi(1, 2/3) - 2 Psi(1, 1/4) - 2 Psi(1, 3/4)

________________________________________________
                  - 4 Psi(1, 3/4) + Psi(1, 3/8) + Psi(1, 7/8)

________________________________________________
    15 Psi(1, 1/3) - Psi(1, 1/5) - Psi(1, 2/5) - Psi(1, 3/5) - Psi(1, 4/5)

         - 3 Psi(1, 1/6)

________________________________________________
           2  1/2        2
     - 2 Pi  3    + 13 Pi  - 5 Psi(1, 3/4) - 2 Psi(1, 1/6) - Psi(1, 5/12)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                                                                        2  1/2
15 Psi(1, 1/3) + 15 Psi(1, 2/3) - 10 Psi(1, 2/5) - 10 Psi(1, 3/5) - 4 Pi  5

________________________________________________
                 15 Psi(1, 1/3) - 4 Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
        2
 - 70 Pi  + 60 Psi(1, 1/3) + 30 Psi(1, 3/4) + 3 Psi(1, 5/12) - 3 Psi(1, 7/12)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
       - 5 Psi(1, 1/3) + 35 Psi(1, 2/3) - 4 Psi(1, 1/4) - 2 Psi(1, 5/12)

                        11
            - 2 Psi(1, ----) + 32 Catalan
                        12

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
              2  1/2
        - 8 Pi  3    + 15 Psi(1, 1/3) + 3 Psi(1, 5/6) - 2 Psi(1, 5/12)

             - 2 Psi(1, 7/12)

________________________________________________
          15 Psi(1, 2/3) - 4 Psi(1, 3/4) - 3 Psi(1, 5/6) - 32 Catalan

________________________________________________
                           2
                       4 Pi  - Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
                  - Psi(1, 1/3) + 4 Psi(1, 2/3) - Psi(1, 5/6)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
        2  1/2
  - 2 Pi  2    - 28 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 7/8) + 3 Psi(1, 1/12)

       + 3 Psi(1, 5/12) - 16 Catalan

________________________________________________
                - 15 Psi(1, 1/3) + 4 Psi(1, 1/6) + Psi(1, 5/6)

________________________________________________
                            2
                        - Pi  + Psi(1, 1/4) - 8 Catalan

________________________________________________
      - 5 Psi(1, 1/3) + 35 Psi(1, 2/3) - 20 Psi(1, 1/4) + 2 Psi(1, 1/12)

                       11
           - 2 Psi(1, ----)
                       12

________________________________________________
   - 20 Psi(1, 1/4) + Psi(1, 1/5) + Psi(1, 2/5) + Psi(1, 3/5) + Psi(1, 4/5)

        + 2 Psi(1, 1/12) + 2 Psi(1, 5/12)

________________________________________________
                            2
                      - 2 Pi  + Psi(1, 1/4) + Psi(1, 3/4)

________________________________________________
                         2
                     4 Pi  - 3 Psi(1, 1/3) - 3 Psi(1, 2/3)

________________________________________________
        - 20 Psi(1, 3/4) + Psi(1, 1/6) + 9 Psi(1, 5/6) - 2 Psi(1, 5/12)

             + 2 Psi(1, 7/12)

________________________________________________
                2  1/2
            2 Pi  3    - 2 Psi(1, 1/6) + Psi(1, 7/12) + 40 Catalan

________________________________________________
                 15 Psi(1, 2/3) - Psi(1, 1/6) - 4 Psi(1, 5/6)

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                          2
                   - 16 Pi  + 15 Psi(1, 2/3) + 3 Psi(1, 1/6)

________________________________________________
                 15 Psi(1, 1/3) - 4 Psi(1, 1/6) - Psi(1, 5/6)

________________________________________________
       2  1/2
 - 8 Pi  3    - 45 Psi(1, 1/3) + 16 Psi(1, 3/4) - Psi(1, 5/6) + 4 Psi(1, 1/12)

      - 32 Catalan

________________________________________________
        - 16 Psi(1, 1/3) + 4 Psi(1, 2/3) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
       - 15 Psi(1, 1/3) + 8 Psi(1, 1/4) - 3 Psi(1, 5/6) + 2 Psi(1, 3/8)

            + 2 Psi(1, 7/8)

________________________________________________
                            2
                      - 2 Pi  + Psi(1, 1/4) + Psi(1, 3/4)

________________________________________________
                                                                 11
          - Psi(1, 1/4) + 9 Psi(1, 3/4) - Psi(1, 7/12) - Psi(1, ----)
                                                                 12

________________________________________________
                 2  1/2
           - 2 Pi  3    + 2 Psi(1, 5/6) - Psi(1, 5/12) + 40 Catalan

________________________________________________

          2  1/2        2
      6 Pi  3    - 32 Pi  + 30 Psi(1, 1/3) + 3 Psi(1, 5/12) - 120 Catalan

________________________________________________
                  - 4 Psi(1, 1/4) + Psi(1, 1/8) + Psi(1, 5/8)

________________________________________________
                          2
                   - 16 Pi  + 15 Psi(1, 1/3) + 3 Psi(1, 5/6)

________________________________________________
         - 15 Psi(1, 1/3) + 4 Psi(1, 1/4) + 3 Psi(1, 1/6) - 32 Catalan

________________________________________________
                 - 4 Psi(1, 1/6) + Psi(1, 1/12) + Psi(1, 7/12)

________________________________________________