In[49]:=
  Expand[CD[%,la,lb,lc,ld,le,lf,lg,lh]]

Out[49]=

                       p                          p
  -(sigma       sigma      )   sigma       sigma
         ;pefgh      ;a bcd         ;pdfgh      ;a bce
  -------------------------- - ----------------------- - 
              2                           2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pdegh      ;a bcf        ;pdefh      ;a bcg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pdefg      ;a bch        ;pcfgh      ;a bde
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pcegh      ;a bdf        ;pcefh      ;a bdg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pcefg      ;a bdh        ;pcdgh      ;a bef
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pcdfh      ;a beg        ;pcdfg      ;a beh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pcdeh      ;a bfg        ;pcdeg      ;a bfh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pcdef      ;a bgh        ;pbfgh      ;a cde
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbegh      ;a cdf        ;pbefh      ;a cdg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbefg      ;a cdh        ;pbdgh      ;a cef
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbdfh      ;a ceg        ;pbdfg      ;a ceh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbdeh      ;a cfg        ;pbdeg      ;a cfh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbdef      ;a cgh        ;pbcgh      ;a def
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbcfh      ;a deg        ;pbcfg      ;a deh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbceh      ;a dfg        ;pbceg      ;a dfh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbcef      ;a dgh        ;pbcdh      ;a efg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbcdg      ;a efh        ;pbcdf      ;a egh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pbcde      ;a fgh        ;pafgh      ;b cde
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;paegh      ;b cdf        ;paefh      ;b cdg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;paefg      ;b cdh        ;padgh      ;b cef
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;padfh      ;b ceg        ;padfg      ;b ceh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;padeh      ;b cfg        ;padeg      ;b cfh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;padef      ;b cgh        ;pacgh      ;b def
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pacfh      ;b deg        ;pacfg      ;b deh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;paceh      ;b dfg        ;paceg      ;b dfh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pacef      ;b dgh        ;pacdh      ;b efg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pacdg      ;b efh        ;pacdf      ;b egh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pacde      ;b fgh        ;pabgh      ;c def
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabfh      ;c deg        ;pabfg      ;c deh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabeh      ;c dfg        ;pabeg      ;c dfh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabef      ;c dgh        ;pabdh      ;c efg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabdg      ;c efh        ;pabdf      ;c egh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabde      ;c fgh        ;pabch      ;d efg
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabcg      ;d efh        ;pabcf      ;d egh
    ----------------------- - ----------------------- - 
               2                         2
   
                       p                         p
    sigma       sigma         sigma       sigma
         ;pabce      ;d fgh        ;pabcd      ;e fgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;f gh      ;pabcde        ;e gh      ;pabcdf
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;e fh      ;pabcdg        ;e fg      ;pabcdh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;d gh      ;pabcef        ;d fh      ;pabceg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;d fg      ;pabceh        ;d eh      ;pabcfg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;d eg      ;pabcfh        ;d ef      ;pabcgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;c gh      ;pabdef        ;c fh      ;pabdeg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;c fg      ;pabdeh        ;c eh      ;pabdfg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;c eg      ;pabdfh        ;c ef      ;pabdgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;c dh      ;pabefg        ;c dg      ;pabefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;c df      ;pabegh        ;c de      ;pabfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b gh      ;pacdef        ;b fh      ;pacdeg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b fg      ;pacdeh        ;b eh      ;pacdfg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b eg      ;pacdfh        ;b ef      ;pacdgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b dh      ;pacefg        ;b dg      ;pacefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b df      ;pacegh        ;b de      ;pacfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b ch      ;padefg        ;b cg      ;padefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b cf      ;padegh        ;b ce      ;padfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;b cd      ;paefgh        ;a gh      ;pbcdef
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a fh      ;pbcdeg        ;a fg      ;pbcdeh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a eh      ;pbcdfg        ;a eg      ;pbcdfh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a ef      ;pbcdgh        ;a dh      ;pbcefg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a dg      ;pbcefh        ;a df      ;pbcegh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a de      ;pbcfgh        ;a ch      ;pbdefg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a cg      ;pbdefh        ;a cf      ;pbdegh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a ce      ;pbdfgh        ;a cd      ;pbefgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a bh      ;pcdefg        ;a bg      ;pcdefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a bf      ;pcdegh        ;a be      ;pcdfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma      sigma          sigma      sigma
         ;a bd      ;pcefgh        ;a bc      ;pdefgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pfgh      ;a bcde        ;pegh      ;a bcdf
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pefh      ;a bcdg        ;pefg      ;a bcdh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pdgh      ;a bcef        ;pdfh      ;a bceg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pdfg      ;a bceh        ;pdeh      ;a bcfg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pdeg      ;a bcfh        ;pdef      ;a bcgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pcgh      ;a bdef        ;pcfh      ;a bdeg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pcfg      ;a bdeh        ;pceh      ;a bdfg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pceg      ;a bdfh        ;pcef      ;a bdgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pcdh      ;a befg        ;pcdg      ;a befh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pcdf      ;a begh        ;pcde      ;a bfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbgh      ;a cdef        ;pbfh      ;a cdeg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbfg      ;a cdeh        ;pbeh      ;a cdfg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbeg      ;a cdfh        ;pbef      ;a cdgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbdh      ;a cefg        ;pbdg      ;a cefh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbdf      ;a cegh        ;pbde      ;a cfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbch      ;a defg        ;pbcg      ;a defh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbcf      ;a degh        ;pbce      ;a dfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pbcd      ;a efgh        ;pagh      ;b cdef
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pafh      ;b cdeg        ;pafg      ;b cdeh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;paeh      ;b cdfg        ;paeg      ;b cdfh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;paef      ;b cdgh        ;padh      ;b cefg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;padg      ;b cefh        ;padf      ;b cegh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pade      ;b cfgh        ;pach      ;b defg
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pacg      ;b defh        ;pacf      ;b degh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pace      ;b dfgh        ;pacd      ;b efgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pabh      ;c defg        ;pabg      ;c defh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pabf      ;c degh        ;pabe      ;c dfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                      p                         p
    sigma      sigma          sigma      sigma
         ;pabd      ;c efgh        ;pabc      ;d efgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;g h      ;pabcdef        ;f h      ;pabcdeg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;f g      ;pabcdeh        ;e h      ;pabcdfg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;e g      ;pabcdfh        ;e f      ;pabcdgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;d h      ;pabcefg        ;d g      ;pabcefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;d f      ;pabcegh        ;d e      ;pabcfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;c h      ;pabdefg        ;c g      ;pabdefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;c f      ;pabdegh        ;c e      ;pabdfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;c d      ;pabefgh        ;b h      ;pacdefg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;b g      ;pacdefh        ;b f      ;pacdegh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;b e      ;pacdfgh        ;b d      ;pacefgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;b c      ;padefgh        ;a h      ;pbcdefg
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;a g      ;pbcdefh        ;a f      ;pbcdegh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;a e      ;pbcdfgh        ;a d      ;pbcefgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma     sigma           sigma     sigma
         ;a c      ;pbdefgh        ;a b      ;pcdefgh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pgh      ;a bcdef        ;pfh      ;a bcdeg
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pfg      ;a bcdeh        ;peh      ;a bcdfg
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;peg      ;a bcdfh        ;pef      ;a bcdgh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pdh      ;a bcefg        ;pdg      ;a bcefh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pdf      ;a bcegh        ;pde      ;a bcfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pch      ;a bdefg        ;pcg      ;a bdefh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pcf      ;a bdegh        ;pce      ;a bdfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pcd      ;a befgh        ;pbh      ;a cdefg
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pbg      ;a cdefh        ;pbf      ;a cdegh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pbe      ;a cdfgh        ;pbd      ;a cefgh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pbc      ;a defgh        ;pah      ;b cdefg
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pag      ;b cdefh        ;paf      ;b cdegh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pae      ;b cdfgh        ;pad      ;b cefgh
    ----------------------- - ----------------------- - 
               2                         2
   
                     p                         p
    sigma     sigma           sigma     sigma
         ;pac      ;b defgh        ;pab      ;c defgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma    sigma            sigma    sigma
         ;h       ;pabcdefg        ;g       ;pabcdefh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma    sigma            sigma    sigma
         ;f       ;pabcdegh        ;e       ;pabcdfgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma    sigma            sigma    sigma
         ;d       ;pabcefgh        ;c       ;pabdefgh
    ----------------------- - ----------------------- - 
               2                         2
   
           p                         p
    sigma    sigma            sigma    sigma
         ;b       ;pacdefgh        ;a       ;pbcdefgh
    ----------------------- - ----------------------- + sigma          - 
               2                         2                   ;abcdefgh
   
                    p                         p
    sigma    sigma            sigma    sigma
         ;ph      ;a bcdefg        ;pg      ;a bcdefh
    ----------------------- - ----------------------- - 
               2                         2
   
                    p                         p
    sigma    sigma            sigma    sigma
         ;pf      ;a bcdegh        ;pe      ;a bcdfgh
    ----------------------- - ----------------------- - 
               2                         2
   
                    p                         p
    sigma    sigma            sigma    sigma
         ;pd      ;a bcefgh        ;pc      ;a bdefgh
    ----------------------- - ----------------------- - 
               2                         2
   
                    p                         p
    sigma    sigma            sigma    sigma
         ;pb      ;a cdefgh        ;pa      ;b cdefgh
    ----------------------- - ----------------------- - 
               2                         2
   
          p                                  p
    sigma   sigma             sigma   sigma
         ;       ;pabcdefgh        ;p      ;a bcdefgh
    ----------------------- - -----------------------
               2                         2

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