\\ \Omega \end{array}}}=
\[\frac{-
        \(G_{d_{1}}\,M_{d_{1}d_{2}}\,M_{d_{1}d_{4}}\,
          M_{d_{2}d_{3}}\,\eta^{d_{1}}\,\eta^{d_{2}}\,
          \eta^{d_{3}}\,\eta^{d_{4}}\,{{\cal P}}_{d_{2}}\,
          {{\cal P}}_{d_{3}}\,{{\cal P}}_{d_{4}}
        \)
        }{
        24}
\]
\cr}$$ $$\displaylines{\qdd
{{\renewcommand{\arraystretch}{.7}     \begin{array}[b]{@{}c@{}} {\scriptscriptstyle (4)} \\ \Omega \end{array}}}=
\[\(G_{d_{1}}\,\eta^{d_{1}}\,\eta^{d_{2}}\,
    \eta^{d_{3}}\,\eta^{d_{4}}\,\eta^{d_{5}}\,
    {{\cal P}}_{d_{2}}\,{{\cal P}}_{d_{3}}\,{{\cal P}}_{d_{4}}\,
    {{\cal P}}_{d_{5}}\,\nl
    \off{3499956}
    \(-
      \(M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\,M_{d_{1}d_{4}}\,
        M_{d_{1}d_{5}}
      \)
      +4\,M_{d_{1}d_{2}}\,M_{d_{1}d_{4}}\,M_{d_{1}d_{5}}\,
      M_{d_{2}d_{3}}\nl
      \off{3827636}
      +2\,M_{d_{1}d_{2}}\,M_{d_{1}d_{4}}\,M_{d_{2}d_{3}}\,
      M_{d_{4}d_{5}}
      +M_{d_{1}d_{2}}\,M_{d_{1}d_{5}}\,M_{d_{2}d_{3}}\nl
      \off{3827636}
      \,M_{d_{2}d_{4}}
      -M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{2}d_{5}}
      -M_{d_{1}d_{4}}\,M_{d_{1}d_{5}}\,\nl
      \off{3827636}
      M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}
      -2\,M_{d_{1}d_{4}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{4}d_{5}}
      +M_{d_{1}d_{5}}\,\nl
      \off{3827636}
      M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,M_{d_{2}d_{5}}
      -M_{d_{1}d_{5}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{4}d_{5}}
    \)
  \)
  /720
\]
\Nl}$$ $$\displaylines{\qdd
{{\renewcommand{\arraystretch}{.7}     \begin{array}[b]{@{}c@{}} {\scriptscriptstyle (5)} \\ \Omega \end{array}}}=
\[\(G_{d_{2}}\,M_{d_{1}d_{2}}\,M_{d_{3}d_{4}}\,
    \eta^{d_{1}}\,\eta^{d_{2}}\,\eta^{d_{3}}\,
    \eta^{d_{4}}\,\eta^{d_{5}}\,\eta^{d_{6}}\,
    {{\cal P}}_{d_{1}}\,{{\cal P}}_{d_{3}}\,{{\cal P}}_{d_{4}}\,
    {{\cal P}}_{d_{5}}\,{{\cal P}}_{d_{6}}\nl
    \off{3499956}
    \,
    \(-
      \(M_{d_{2}d_{3}}\,M_{d_{2}d_{5}}\,M_{d_{2}d_{6}}
      \)
      +2\,M_{d_{2}d_{3}}\,M_{d_{2}d_{5}}\,M_{d_{5}d_{6}}
      +M_{d_{2}d_{3}}\nl
      \off{4100703}
      \,M_{d_{2}d_{6}}\,M_{d_{3}d_{5}}
      -M_{d_{2}d_{3}}\,M_{d_{3}d_{5}}\,M_{d_{3}d_{6}}
      -M_{d_{2}d_{5}}\nl
      \off{4100703}
      \,M_{d_{2}d_{6}}\,M_{d_{3}d_{5}}
      -2\,M_{d_{2}d_{5}}\,M_{d_{3}d_{5}}\,M_{d_{5}d_{6}}\nl
      \off{4100703}
      +M_{d_{2}d_{6}}\,M_{d_{3}d_{5}}\,M_{d_{3}d_{6}}
      -M_{d_{2}d_{6}}\,M_{d_{3}d_{5}}\,M_{d_{5}d_{6}}
    \)
  \)
  /1440
\]
\Nl}$$ $$\displaylines{\qdd
{{\renewcommand{\arraystretch}{.7}     \begin{array}[b]{@{}c@{}} {\scriptscriptstyle (6)} \\ \Omega \end{array}}}=
\[\(G_{d_{3}}\,\eta^{d_{1}}\,\eta^{d_{2}}\,
    \eta^{d_{3}}\,\eta^{d_{4}}\,\eta^{d_{5}}\,
    \eta^{d_{6}}\,\eta^{d_{7}}\,{{\cal P}}_{d_{1}}\,
    {{\cal P}}_{d_{2}}\,{{\cal P}}_{d_{4}}\,{{\cal P}}_{d_{5}}\,
    {{\cal P}}_{d_{6}}\,{{\cal P}}_{d_{7}}\,\nl
    \off{3499956}
    \(-
      \(M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\,M_{d_{1}d_{6}}\,
        M_{d_{2}d_{4}}\,M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}
      \)
      -M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\nl
      \off{3827636}
      \,M_{d_{2}d_{4}}\,M_{d_{2}d_{6}}\,M_{d_{4}d_{5}}\,
      M_{d_{6}d_{7}}
      +2\,M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\,M_{d_{2}d_{4}}\,
      \nl
      \off{3827636}
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{4}d_{7}}
      +M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\,M_{d_{2}d_{6}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\nl
      \off{3827636}
      \,M_{d_{6}d_{7}}
      -2\,M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\,M_{d_{2}d_{7}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{4}d_{7}}\nl
      \off{3827636}
      +2\,M_{d_{1}d_{2}}\,M_{d_{1}d_{3}}\,M_{d_{2}d_{7}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{6}d_{7}}\nl
      \off{3827636}
      -2\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{2}d_{6}}\,M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}\nl
      \off{3827636}
      -13\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,
      M_{d_{2}d_{4}}\,M_{d_{3}d_{6}}\,M_{d_{4}d_{5}}\,
      M_{d_{6}d_{7}}\nl
      \off{3827636}
      +4\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{4}d_{7}}\nl
      \off{3827636}
      +2\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{6}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{6}d_{7}}\nl
      \off{3827636}
      -4\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{7}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{4}d_{7}}\nl
      \off{3827636}
      +4\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{7}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{6}d_{7}}\nl
      \off{3827636}
      -2\,M_{d_{1}d_{2}}\,M_{d_{2}d_{3}}\,M_{d_{3}d_{4}}\,
      M_{d_{3}d_{6}}\,M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}\nl
      \off{3827636}
      +M_{d_{1}d_{3}}\,M_{d_{1}d_{4}}\,M_{d_{1}d_{6}}\,
      M_{d_{2}d_{6}}\,M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}
      -2\,M_{d_{1}d_{3}}\nl
      \off{3827636}
      \,M_{d_{1}d_{4}}\,M_{d_{2}d_{4}}\,M_{d_{4}d_{5}}\,
      M_{d_{4}d_{6}}\,M_{d_{4}d_{7}}
      +5\,M_{d_{1}d_{3}}\,M_{d_{1}d_{4}}\,\nl
      \off{3827636}
      M_{d_{2}d_{7}}\,M_{d_{3}d_{7}}\,M_{d_{4}d_{5}}\,
      M_{d_{4}d_{6}}
      +M_{d_{1}d_{3}}\,M_{d_{1}d_{6}}\,M_{d_{2}d_{3}}\,
      M_{d_{2}d_{4}}\nl
      \off{3827636}
      \,M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}
      -2\,M_{d_{1}d_{3}}\,M_{d_{1}d_{6}}\,M_{d_{2}d_{6}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\nl
      \off{3827636}
      \,M_{d_{6}d_{7}}
      -5\,M_{d_{1}d_{3}}\,M_{d_{1}d_{6}}\,M_{d_{2}d_{7}}\,
      M_{d_{3}d_{7}}\,M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\nl
      \off{3827636}
      +M_{d_{1}d_{3}}\,M_{d_{1}d_{7}}\,M_{d_{2}d_{7}}\,
      M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,M_{d_{4}d_{7}}
      -M_{d_{1}d_{3}}\,M_{d_{1}d_{7}}\nl
      \off{3827636}
      \,M_{d_{2}d_{7}}\,M_{d_{4}d_{5}}\,M_{d_{4}d_{6}}\,
      M_{d_{6}d_{7}}
      -M_{d_{1}d_{3}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{2}d_{6}}\,\nl
      \off{3827636}
      M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}
      -8\,M_{d_{1}d_{3}}\,M_{d_{2}d_{3}}\,M_{d_{2}d_{4}}\,
      M_{d_{3}d_{6}}\,M_{d_{4}d_{5}}\,M_{d_{6}d_{7}}\nl
      \off{3827636}
      