Solve[%==0,CD[sigma,la,lb,lc,ld,le,lf]]
Out[29]=
{{sigma ->
;abcdef
(-9 R - 9 R - 9 R - 9 R - 9 R -
acbd;ef acbe;df acbf;de adbc;ef adbe;cf
9 R - 9 R - 9 R - 9 R - 9 R -
adbf;ce aebc;df aebd;cf aebf;cd afbc;de
p p p
9 R - 9 R + R R + R R + R R +
afbd;ce afbe;cd pdcf abe pdce abf pecd abf
p p p p p
R R + R R + R R + R R + R R +
pdbf ace pdbe acf pebd acf pcbf ade pcbe adf
p p p p p
R R + R R + R R + R R + R R +
pebc adf pcbf aed pcbd aef pdbc aef pcbe afd
p p p p
R R + R R + 3 R R + 3 R R +
pcbd afe pdbc afe pedf a bc pfde a bc
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
pecf a bd pfce a bd pdcf a be pfcd a be
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
pdce a bf pecd a bf pebf a cd pfbe a cd
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
pdbf a ce pfbd a ce pdbe a cf pebd a cf
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
pcbf a de pfbc a de pcbe a df pebc a df
p p p p
3 R R + 3 R R + R R + R R +
pcbd a ef pdbc a ef pdaf bce pdae bcf
p p p p p
R R + R R + R R + R R + R R +
pead bcf pcaf bde pcae bdf peac bdf pcaf bed
p p p p p
R R + R R + R R + R R + R R +
pcad bef pdac bef pcae bfd pcad bfe pdac bfe
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
peaf b cd pfae b cd pdaf b ce pfad b ce
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
pdae b cf pead b cf pcaf b de pfac b de
p p p p
3 R R + 3 R R + 3 R R + 3 R R +
pcae b df peac b df pcad b ef pdac b ef
p p p p p
R R + R R + R R + R R + R R +
pbaf cde pbae cdf peab cdf pbaf ced pbad cef
p p p p
R R + R R + R R + R R -
pdab cef pbae cfd pbad cfe pdab cfe
p p p p
6 R R + 3 R R - 6 R R + 3 R R -
pbaf c de pfab c de pbae c df peab c df
p p p p
6 R R + 3 R R + R R + R R +
pbad c ef pdab c ef pbac def pcab def
p p p p
R R + R R - 6 R R + 3 R R ) / 45}}
pbac dfe pcab dfe pbac d ef pcab d ef