In[35]:=
  Riemann80a /. CyclicRule

Out[35]=

  {R     R    , R     R    , (-R     + R    ) R    , 
    afgh  bcde   agfh  bcde     afgh    agfh   bcde
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aegh  bcdf   ageh  bcdf     aegh    ageh   bcdf
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aefh  bcdg   afeh  bcdg     aefh    afeh   bcdg
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aefg  bcdh   afeg  bcdh     aefg    afeg   bcdh
   
    R     R    , R     R    , (-R     + R    ) R    , 
     adgh  bcef   agdh  bcef     adgh    agdh   bcef
   
    R     R    , R     R    , (-R     + R    ) R    , 
     adfh  bceg   afdh  bceg     adfh    afdh   bceg
   
    R     R    , R     R    , (-R     + R    ) R    , 
     adfg  bceh   afdg  bceh     adfg    afdg   bceh
   
    R     R    , R     R    , (-R     + R    ) R    , 
     adeh  bcfg   aedh  bcfg     adeh    aedh   bcfg
   
    R     R    , R     R    , (-R     + R    ) R    , 
     adeg  bcfh   aedg  bcfh     adeg    aedg   bcfh
   
    R     R    , R     R    , (-R     + R    ) R    , 
     adef  bcgh   aedf  bcgh     adef    aedf   bcgh
   
    R     R    , R     R    , (-R     + R    ) R    , 
     afgh  bdce   agfh  bdce     afgh    agfh   bdce
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aegh  bdcf   ageh  bdcf     aegh    ageh   bdcf
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aefh  bdcg   afeh  bdcg     aefh    afeh   bdcg
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aefg  bdch   afeg  bdch     aefg    afeg   bdch
   
    R     R    , R     R    , (-R     + R    ) R    , 
     acgh  bdef   agch  bdef     acgh    agch   bdef
   
    R     R    , R     R    , (-R     + R    ) R    , 
     acfh  bdeg   afch  bdeg     acfh    afch   bdeg
   
    R     R    , R     R    , (-R     + R    ) R    , 
     acfg  bdeh   afcg  bdeh     acfg    afcg   bdeh
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aceh  bdfg   aech  bdfg     aceh    aech   bdfg
   
    R     R    , R     R    , (-R     + R    ) R    , 
     aceg  bdfh   aecg  bdfh     aceg    aecg   bdfh
   
    R     R    , R     R    , (-R     + R    ) R    , 
     acef  bdgh   aecf  bdgh     acef    aecf   bdgh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     afgh    bcde    bdce    agfh    bcde    bdce
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       afgh    agfh     bcde    bdce    adgh  becf
   
    R     R    , (-R     + R    ) R    , R     R    , 
     agdh  becf     adgh    agdh   becf   adfh  becg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afdh  becg     adfh    afdh   becg   adfg  bech
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afdg  bech     adfg    afdg   bech   acgh  bedf
   
    R     R    , (-R     + R    ) R    , R     R    , 
     agch  bedf     acgh    agch   bedf   acfh  bedg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afch  bedg     acfh    afch   bedg   acfg  bedh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afcg  bedh     acfg    afcg   bedh   acdh  befg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adch  befg     acdh    adch   befg   acdg  befh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adcg  befh     acdg    adcg   befh   acdf  begh
   
    R     R    , (-R     + R    ) R    , 
     adcf  begh     acdf    adcf   begh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     aegh    bcdf    bdcf    ageh    bcdf    bdcf
   
    (-R     + R    ) (-R     + R    ), 
       aegh    ageh     bcdf    bdcf
   
    R     (-R     + R    ), R     (-R     + R    ), 
     adgh    bcef    becf    agdh    bcef    becf
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       adgh    agdh     bcef    becf    adeh  bfcg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aedh  bfcg     adeh    aedh   bfcg   adeg  bfch
   
    R     R    , (-R     + R    ) R    , 
     aedg  bfch     adeg    aedg   bfch
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acgh    bdef    bedf    agch    bdef    bedf
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       acgh    agch     bdef    bedf    aceh  bfdg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aech  bfdg     aceh    aech   bfdg   aceg  bfdh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aecg  bfdh     aceg    aecg   bfdh   acdh  bfeg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adch  bfeg     acdh    adch   bfeg   acdg  bfeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adcg  bfeh     acdg    adcg   bfeh   acde  bfgh
   
    R     R    , (-R     + R    ) R    , 
     adce  bfgh     acde    adce   bfgh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     aefh    bcdg    bdcg    afeh    bcdg    bdcg
   
    (-R     + R    ) (-R     + R    ), 
       aefh    afeh     bcdg    bdcg
   
    R     (-R     + R    ), R     (-R     + R    ), 
     adfh    bceg    becg    afdh    bceg    becg
   
    (-R     + R    ) (-R     + R    ), 
       adfh    afdh     bceg    becg
   
    R     (-R     + R    ), R     (-R     + R    ), 
     adeh    bcfg    bfcg    aedh    bcfg    bfcg
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       adeh    aedh     bcfg    bfcg    adef  bgch
   
    R     R    , (-R     + R    ) R    , 
     aedf  bgch     adef    aedf   bgch
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acfh    bdeg    bedg    afch    bdeg    bedg
   
    (-R     + R    ) (-R     + R    ), 
       acfh    afch     bdeg    bedg
   
    R     (-R     + R    ), R     (-R     + R    ), 
     aceh    bdfg    bfdg    aech    bdfg    bfdg
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       aceh    aech     bdfg    bfdg    acef  bgdh
   
    R     R    , (-R     + R    ) R    , 
     aecf  bgdh     acef    aecf   bgdh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acdh    befg    bfeg    adch    befg    bfeg
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       acdh    adch     befg    bfeg    acdf  bgeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adcf  bgeh     acdf    adcf   bgeh   acde  bgfh
   
    R     R    , (-R     + R    ) R    , 
     adce  bgfh     acde    adce   bgfh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     aefg    bcdh    bdch    afeg    bcdh    bdch
   
    (-R     + R    ) (-R     + R    ), 
       aefg    afeg     bcdh    bdch
   
    R     (-R     + R    ), R     (-R     + R    ), 
     adfg    bceh    bech    afdg    bceh    bech
   
    (-R     + R    ) (-R     + R    ), 
       adfg    afdg     bceh    bech
   
    R     (-R     + R    ), R     (-R     + R    ), 
     adeg    bcfh    bfch    aedg    bcfh    bfch
   
    (-R     + R    ) (-R     + R    ), 
       adeg    aedg     bcfh    bfch
   
    R     (-R     + R    ), R     (-R     + R    ), 
     adef    bcgh    bgch    aedf    bcgh    bgch
   
    (-R     + R    ) (-R     + R    ), 
       adef    aedf     bcgh    bgch
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acfg    bdeh    bedh    afcg    bdeh    bedh
   
    (-R     + R    ) (-R     + R    ), 
       acfg    afcg     bdeh    bedh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     aceg    bdfh    bfdh    aecg    bdfh    bfdh
   
    (-R     + R    ) (-R     + R    ), 
       aceg    aecg     bdfh    bfdh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acef    bdgh    bgdh    aecf    bdgh    bgdh
   
    (-R     + R    ) (-R     + R    ), 
       acef    aecf     bdgh    bgdh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acdg    befh    bfeh    adcg    befh    bfeh
   
    (-R     + R    ) (-R     + R    ), 
       acdg    adcg     befh    bfeh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acdf    begh    bgeh    adcf    begh    bgeh
   
    (-R     + R    ) (-R     + R    ), 
       acdf    adcf     begh    bgeh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     acde    bfgh    bgfh    adce    bfgh    bgfh
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       acde    adce     bfgh    bgfh    abgh  cdef
   
    R     R    , (-R     + R    ) R    , R     R    , 
     agbh  cdef     abgh    agbh   cdef   abfh  cdeg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afbh  cdeg     abfh    afbh   cdeg   abfg  cdeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afbg  cdeh     abfg    afbg   cdeh   abeh  cdfg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aebh  cdfg     abeh    aebh   cdfg   abeg  cdfh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aebg  cdfh     abeg    aebg   cdfh   abef  cdgh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aebf  cdgh     abef    aebf   cdgh   abgh  cedf
   
    R     R    , (-R     + R    ) R    , R     R    , 
     agbh  cedf     abgh    agbh   cedf   abfh  cedg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afbh  cedg     abfh    afbh   cedg   abfg  cedh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     afbg  cedh     abfg    afbg   cedh   abdh  cefg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adbh  cefg     abdh    adbh   cefg   abdg  cefh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adbg  cefh     abdg    adbg   cefh   abdf  cegh
   
    R     R    , (-R     + R    ) R    , 
     adbf  cegh     abdf    adbf   cegh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abgh    cdef    cedf    agbh    cdef    cedf
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       abgh    agbh     cdef    cedf    abeh  cfdg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aebh  cfdg     abeh    aebh   cfdg   abeg  cfdh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     aebg  cfdh     abeg    aebg   cfdh   abdh  cfeg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adbh  cfeg     abdh    adbh   cfeg   abdg  cfeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adbg  cfeh     abdg    adbg   cfeh   abde  cfgh
   
    R     R    , (-R     + R    ) R    , 
     adbe  cfgh     abde    adbe   cfgh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abfh    cdeg    cedg    afbh    cdeg    cedg
   
    (-R     + R    ) (-R     + R    ), 
       abfh    afbh     cdeg    cedg
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abeh    cdfg    cfdg    aebh    cdfg    cfdg
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       abeh    aebh     cdfg    cfdg    abef  cgdh
   
    R     R    , (-R     + R    ) R    , 
     aebf  cgdh     abef    aebf   cgdh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abdh    cefg    cfeg    adbh    cefg    cfeg
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       abdh    adbh     cefg    cfeg    abdf  cgeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     adbf  cgeh     abdf    adbf   cgeh   abde  cgfh
   
    R     R    , (-R     + R    ) R    , 
     adbe  cgfh     abde    adbe   cgfh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abfg    cdeh    cedh    afbg    cdeh    cedh
   
    (-R     + R    ) (-R     + R    ), 
       abfg    afbg     cdeh    cedh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abeg    cdfh    cfdh    aebg    cdfh    cfdh
   
    (-R     + R    ) (-R     + R    ), 
       abeg    aebg     cdfh    cfdh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abef    cdgh    cgdh    aebf    cdgh    cgdh
   
    (-R     + R    ) (-R     + R    ), 
       abef    aebf     cdgh    cgdh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abdg    cefh    cfeh    adbg    cefh    cfeh
   
    (-R     + R    ) (-R     + R    ), 
       abdg    adbg     cefh    cfeh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abdf    cegh    cgeh    adbf    cegh    cgeh
   
    (-R     + R    ) (-R     + R    ), 
       abdf    adbf     cegh    cgeh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abde    cfgh    cgfh    adbe    cfgh    cgfh
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       abde    adbe     cfgh    cgfh    abch  defg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbh  defg     abch    acbh   defg   abcg  defh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbg  defh     abcg    acbg   defh   abcf  degh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbf  degh     abcf    acbf   degh   abch  dfeg
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbh  dfeg     abch    acbh   dfeg   abcg  dfeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbg  dfeh     abcg    acbg   dfeh   abce  dfgh
   
    R     R    , (-R     + R    ) R    , 
     acbe  dfgh     abce    acbe   dfgh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abch    defg    dfeg    acbh    defg    dfeg
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       abch    acbh     defg    dfeg    abcf  dgeh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbf  dgeh     abcf    acbf   dgeh   abce  dgfh
   
    R     R    , (-R     + R    ) R    , 
     acbe  dgfh     abce    acbe   dgfh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abcg    defh    dfeh    acbg    defh    dfeh
   
    (-R     + R    ) (-R     + R    ), 
       abcg    acbg     defh    dfeh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abcf    degh    dgeh    acbf    degh    dgeh
   
    (-R     + R    ) (-R     + R    ), 
       abcf    acbf     degh    dgeh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abce    dfgh    dgfh    acbe    dfgh    dgfh
   
    (-R     + R    ) (-R     + R    ), R     R    , 
       abce    acbe     dfgh    dgfh    abcd  efgh
   
    R     R    , (-R     + R    ) R    , R     R    , 
     acbd  efgh     abcd    acbd   efgh   abcd  egfh
   
    R     R    , (-R     + R    ) R    , 
     acbd  egfh     abcd    acbd   egfh
   
    R     (-R     + R    ), R     (-R     + R    ), 
     abcd    efgh    egfh    acbd    efgh    egfh
   
    (-R     + R    ) (-R     + R    )}
       abcd    acbd     efgh    egfh

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