A few identities (IV)
with Zeta(3)
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
                   - 8 Psi(2, 1/4) + Psi(2, 1/8) + Psi(2, 5/8)

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

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

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

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

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

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

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

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

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

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

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

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            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

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

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

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

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

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

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

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

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

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

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

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

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

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             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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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       - 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)

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

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

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

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       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)

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

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

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                 - 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)

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         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)

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

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                  - 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)

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                   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)

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

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        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

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

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                 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)

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                    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)

_______________________________________________________________________
                  - 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)

_______________________________________________________________________
                  - 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
             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)

_______________________________________________________________________
                   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)

_______________________________________________________________________
                         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)

_______________________________________________________________________
                   - 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)

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

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

_______________________________________________________________________
                  - 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        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)

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

_______________________________________________________________________
                  - 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        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

_______________________________________________________________________
                  - 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)

_______________________________________________________________________
                   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)

_______________________________________________________________________
       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, 1/6)

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

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

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

_______________________________________________________________________
                 - 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)

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

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

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

_______________________________________________________________________
          3328 Zeta(3) + Psi(2, 1/12) + 72 Psi(2, 2/3) + 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        3  1/2
6 Pi  + 12 Pi  3    - 14 Zeta(3) + 3 Psi(2, 1/4) + Psi(2, 1/6) - 2 Psi(2, 5/6)

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

_______________________________________________________________________
                  - 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                                                11
        64 Pi  3    + 504 Psi(2, 2/3) - 9 Psi(2, 5/12) - 9 Psi(2, ----)
                                                                   12

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

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

_______________________________________________________________________
         3
    56 Pi  - 28 Psi(2, 1/3) + Psi(2, 1/12) - 28 Psi(2, 2/3) + Psi(2, 5/12)

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

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

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

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

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

_______________________________________________________________________
                 - 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)

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

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

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

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

_______________________________________________________________________
              3       3  1/2
       - 16 Pi  - 8 Pi  3    + 20 Zeta(3) - Psi(2, 1/8) + 18 Psi(2, 2/3)

            - Psi(2, 5/8)

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

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

_______________________________________________________________________
                  3  1/2
            - 8 Pi  3    - 52 Zeta(3) - 9 Psi(2, 1/3) + Psi(2, 5/6)

_______________________________________________________________________
                                                                11
          112 Zeta(3) + 28 Psi(2, 3/4) - Psi(2, 7/12) - Psi(2, ----)
                                                                12

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

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

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

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

_______________________________________________________________________
                  3  1/2
             12 Pi  2    + 448 Zeta(3) + Psi(2, 1/8) + Psi(2, 3/8)

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

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

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

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

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

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

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

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

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

_______________________________________________________________________
         3
  - 22 Pi  + 63 Psi(2, 1/3) - 39 Psi(2, 1/4) + 2 Psi(2, 1/6) + 9 Psi(2, 5/6)

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

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

            - Psi(2, 3/4)

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

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

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

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

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

_______________________________________________________________________
           - 896 Zeta(3) - Psi(2, 1/8) - 8 Psi(2, 3/4) - Psi(2, 5/8)

_______________________________________________________________________
  - 64 Zeta(3) + 18 Psi(2, 1/3) - Psi(2, 1/8) - 8 Psi(2, 3/4) + 2 Psi(2, 5/6)

       - Psi(2, 5/8)

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

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

_______________________________________________________________________
      3                                                                  11
 76 Pi  + 504 Psi(2, 1/3) - 7 Psi(2, 1/12) - 234 Psi(2, 3/4) + 7 Psi(2, ----)
                                                                         12

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

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

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

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

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

_______________________________________________________________________
          3
      8 Pi  + 80 Zeta(3) + 72 Psi(2, 1/3) - Psi(2, 1/12) - 32 Psi(2, 3/4)

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

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

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

_______________________________________________________________________
 - 112 Zeta(3) - 28 Psi(2, 1/4) + 8 Psi(2, 1/6) + Psi(2, 5/12) - Psi(2, 7/12)

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

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

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

_______________________________________________________________________
           3                                                         11
     102 Pi  - 168 Zeta(3) + 23 Psi(2, 1/4) - Psi(2, 7/12) - Psi(2, ----)
                                                                     12

_______________________________________________________________________
         3
     4 Pi  + 26 Psi(2, 3/4) - 8 Psi(2, 5/6) + Psi(2, 5/12) - Psi(2, 7/12)

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

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

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

_______________________________________________________________________
         3  1/2                                                        11
    64 Pi  3    + Psi(2, 1/12) - Psi(2, 5/12) + Psi(2, 7/12) - Psi(2, ----)
                                                                       12

_______________________________________________________________________
                  3  1/2
             12 Pi  2    + 448 Zeta(3) + Psi(2, 1/8) + Psi(2, 3/8)

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

_______________________________________________________________________
                - 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, 3/8) + Psi(2, 5/8)

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

_______________________________________________________________________
               3
          26 Pi  + 126 Psi(2, 1/3) - 14 Psi(2, 1/6) - 13 Psi(2, 3/4)

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

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

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

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

_______________________________________________________________________
                                                          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)

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

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

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

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

_______________________________________________________________________
 - 112 Zeta(3) - Psi(2, 1/6) + 63 Psi(2, 2/3) - 28 Psi(2, 3/4) - Psi(2, 5/12)

      + Psi(2, 7/12)

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

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

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

_______________________________________________________________________
                 3  1/2
             8 Pi  3    + 52 Zeta(3) + 9 Psi(2, 1/3) - Psi(2, 5/6)

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

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

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

_______________________________________________________________________
                3
         - 26 Pi  - 13 Psi(2, 1/4) + 126 Psi(2, 2/3) - 14 Psi(2, 5/6)

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

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

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

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

_______________________________________________________________________
          416 Zeta(3) + 72 Psi(2, 1/3) - Psi(2, 1/12) - Psi(2, 7/12)

_______________________________________________________________________
           3
   - 108 Pi  - 8 Psi(2, 1/6) + 26 Psi(2, 3/4) - Psi(2, 5/12) + Psi(2, 7/12)

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

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

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

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

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

_______________________________________________________________________
        3                                                               11
  112 Pi  - 9 Psi(2, 1/6) + 2 Psi(2, 1/12) + 63 Psi(2, 2/3) - 2 Psi(2, ----)
                                                                        12

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

_______________________________________________________________________
                   8 Psi(2, 3/4) - Psi(2, 3/8) - 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    - 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
                  - 4 Pi  3    - 234 Zeta(3) - 9 Psi(2, 1/3)

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

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

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

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

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

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

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

_______________________________________________________________________
                                                                11
          416 Zeta(3) + 72 Psi(2, 2/3) - Psi(2, 5/12) - Psi(2, ----)
                                                                12

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

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

_______________________________________________________________________
       3  1/2        3  1/2
  64 Pi  3    + 84 Pi  2    + 7 Psi(2, 1/8) - 2 Psi(2, 5/12) + 2 Psi(2, 7/12)

       - 7 Psi(2, 7/8)

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

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

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

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

            - 8 Psi(2, 7/12) - 27 Psi(2, 5/8)

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

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

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

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

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

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

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

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

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

_______________________________________________________________________
       3  1/2
  32 Pi  3    + 14 Psi(2, 1/4) - 14 Psi(2, 3/4) - Psi(2, 5/12) + Psi(2, 7/12)

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

_______________________________________________________________________
                   3
              56 Pi  + 1456 Zeta(3) + Psi(2, 1/12) + Psi(2, 5/12)

_______________________________________________________________________
        3  1/2        3  1/2
 - 72 Pi  3    + 84 Pi  2    + 7 Psi(2, 1/8) - 2 Psi(2, 1/12) - 63 Psi(2, 2/3)

                                  11
      + 9 Psi(2, 5/6) + 2 Psi(2, ----) - 7 ps
                                  12

_______________________________________________________________________
                                      7/8

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

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

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

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

_______________________________________________________________________
  304 Zeta(3) + 72 Psi(2, 2/3) - 28 Psi(2, 3/4) - Psi(2, 5/12) + Psi(2, 7/12)

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

_______________________________________________________________________
            896 Zeta(3) + Psi(2, 1/8) + 8 Psi(2, 3/4) + Psi(2, 5/8)

_______________________________________________________________________
           - 896 Zeta(3) - Psi(2, 1/8) - 8 Psi(2, 3/4) - Psi(2, 5/8)

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

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

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

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

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

_______________________________________________________________________
                                                                   11
        6048 Zeta(3) + 2 Psi(2, 1/12) + 16 Psi(2, 5/6) - 2 Psi(2, ----)
                                                                   12

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

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

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

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

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

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

_______________________________________________________________________
                    3
             - 56 Pi  - 1456 Zeta(3) - Psi(2, 1/12) - Psi(2, 5/12)

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

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

_______________________________________________________________________
      3  1/2
 30 Pi  3    + 8 Psi(2, 1/5) + 15 Psi(2, 1/6) - 2 Psi(2, 3/4) - 18 Psi(2, 5/6)

_______________________________________________________________________