Details Page for 0.3352

Complete Solution is Known:

MSV File: q-0.3352.msv

Growth Pattern:

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Details for Q₁₂₅₄₀(0.3352):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c=c, c²=b², b²d=d, d²=b², b²e=e, e²=b², b²f=f, f²=b², b²g=g, g²=b², b²h=h, h²=b², b²i=i, i²=b²>

P = {a, b²}

Phi = 1 a b ab b² b ab² c b ab² c b b² ab b ab² ab ac c b ac ab bc ab² b bc b² b ab² ac ab ab² abc d b² ab ab² c ab ac c b b² ab d ab² ab ac bd b c ab bc ab² b d b² b ab² bd ab ab² c abc b² ab ab² c ab ac bd b c bd d ab² b d ac b ab² ab bc ab² abc d b² ab b bd ab ac c ab² b² ab ab² c b ac bd b ab² bd b² ab² abc d ab abc ab² ab bc ac b abc b² ab c b bc ac bd abc c bc b² ab² abc d bc abc ab² bd ab ac abc d b² ab c bd bc ac bd c ab² ab d ab² abc ac bd abc ab² bc b² bd abc d ac ab ab² bd bc ac abc ab² b² ab c b d ac bd abc ab² ab b² ab² abc ac ab d ab² bc b² bd abc ab² ac ab ab² abc ad ac abc ab² abd ab b² bd d ac bc abc ab² ab ac bd abc cd b² ad ab² abc bc bd abc ab² abd ab e abc ad ac bc ab² c ab ac bd ad ac b² ad ab² abc ac abd abc c bd ab ab² abc d ac bc b abd ab ac bd ad ac bc d ab² ab ac bd abc ab² b² ab ab² abc d bd b c bd ab e bd abc ac bc cd ab² ab ac bd d ac b² d ab² abc ad ac abc c bcd ab e abc d bd bc c bd ab ac abcd c ab² bc ad ab² abc ac bd abc e bc d c abc acd ac ab c abd ab ac abc c ac be e ab² ab ac abcd c e bc cd ab² be e ac ad e bcd ab e abc c ac ad c b ab e be c abd bc cd ab² be ac ab b e bc ac abcd ab² e bd ab e bcd ab abcd abc c bcd ad e bd be e bd b bcd be ac c be ac bc ad e be ab abcd abc c ac cd c bcd ab bc be b abd d ac c acd ac abcd cd abc be bc bcd be c ac ad e abe d abcd abc ae bcd ad e c ad ce abe b abd ab e bd ab² c bd acd abd be cd abd bce ae abd ad ab² abe d ab be b ab² cd ad c d e abcd ad abc be e bd be ae bd ab ace be de b² ab ae bd ac e c d ae be ace ab² bce ab abe c e bd d abd be ae bc abce e bcd b² e c d abcd be ae bd ad ae ade ad abd be cde bd abe e bd acd ae be b² ace abe de ac bce b bcd ad ce be abc abde abe e abd abce ab bce d ce be bc bd bce e ac ade b bce ab bde be ae abcd bce ae c acd ab be abc ce abe ace bd be e bd d abd be bc abcd c ae b² bce e abde bc bde abe abc bde abe e c acd ae bce cd abd be ace bcd acd ae ac cd ace be bc bde abe ce b² ac e c acd ab bce abc abde abce ace bcd ad e abce ade abc be ab bde ab² ce b² ab e abce bc bd be ace bde ac e ab² abc ab bce d abd be ad bde ab² ae bce ab abc be bc ac de ce abde ad bde ab² de ab bce ace ab² abce ab abe b bde ac ade abc abce bc ac abce ce bcde ab ace bce ae abd abe abc abce de ace bce abc abde bce cde ab² abce ab ac c abde abce ade bde abce ce abcd abe abc bcde d ace ab² abc bd ade ace c de ce f abc abde abce bc bcd acde ce ac ade abde f bc bde ab² acde ab ade ce c de bde ade abc bd de ce c d ce abcde b ab² bce bc bde de bcde abcd ade bcde f ade e cde d ac ade ce c de ab cde abc abde abce ace abcde de ce f cde abde de bc bde de ce bd bc ace c acde ab f abc bcd de ace c abc ab bce ade abde bce bc c ab² abde ac ade bde de cd b² ade ace abde bc abcde c de bde bce ace c de bf f abc abde f ade c acde cd ac ade bf bd bc bde f bf bde ade ace abde ac abcde f abc bcde f cd ab² de bf f de abde bd bc bde de bf abcd ade bf bcde de abcde f bf abde bce bf c de abcde bd ab² abde f cde bde acde cd abcd ade bcde f acde bde f d bc ade ace c de abcde f acd abde cde bf bcde de bf bde cde abde f cde bde de bf abcde ade bf f acde abcde f acde bd ade bf bd de bde f ab² abde af cd bde de bf bd ade abde f d bde cde d af ade abf bcd de bde f bf bcde cde bf af de bf bde abf abde acde cd bde de bf f ade bcf f abf bde f bf af ade abf f de bde f abf abde acde ad bde abc abde f ade ab² af bf bde de bf af ade abcde abd de ac ade bf af ade bf bd de bcde f abf bde de bf abcd de abde f cd bde acde cd bde cde acd bcd de bde f de bde cde abf abde de bf ace c bcde af bce bde acde bf bde de acd af cd bde cf abce bc ade abf abde de bde f abce abde ade bce abde de bcf ace ade abd af ade bde cf abce ab bdf abde af de bde cf de abde ad abf abde de bde abcde abf abde cf bce abcde bdf bf abcd cde abcf cf ac bde cf bf bd ab abf ace de bde f bcf bcde bdf abf af bdf bcf ace ade ab² af bce bde de abce cf cde bcf f abcf ac f bce abde ade bf ace abcf bde abcd abcf abde ae bf acf acd be bd abe abde de abce bde acf abce af ade bcf f abce abcd f bce abde bdf ade cf bdf abcf abcde abf abde ae bce abcd de bf ce abe bde af cd df ade bce ae bdf abe ce c bde ce bce bcd de abce ace bdf df ce bce df cf bce ace ade bce ce cd abf ce be abcd e abce abc de bf e abdf bf ce abe df bdf abe acf bdf be ace ac bde af be abcd bdf be bcde cd bde acf be df e abe df de abe e bdf df ace b² bcd bdf be bc bdf adf ce bdf bd abdf be df bdf bce bcd cd bd e c df abdf abe df af adf bd d abd ae abe df bdf be af bce adf ce bdf df ace be df bdf abe e bdf bd e abdf abd bdf abe adf d be bc bdf df ae be ab abdf be adf ad bef ce cd df e c abc bdf abe ce ab² be e abcdf abd ce abe abd abdf be e ac adf e be bc bdf be bd ad bce e b adf e be ab² abdf be ace ac be e bcdf abd ce be bc abdf be ae ad abe e be bd abcdf be bcd bdf abe e d adf e bef bcd abdf be bd abdf abce e cd df d be abcd bdf be bcd ad adf e d df ace be abd bdf bce e d be e bce abc bdf be abcd bdf abce ae cd df ef d adf bcf abe bcd bdf df e b df ef abe aef bdf be bd d abd ae bc df d be bd ac adf ae abcdf abcd e abce bd ad abe ae bdf adf e acf df ce abe cdf d be abcd bdf abce ae bef abcd abdf be acdf ad bce ae ad adf e be df bcdf abe bcd acd de e cd abd ce abe abd abdf be e ad adf ae cf bd bcdf be bd ad abe ae acd adf e be abd bcdf bce e d be e abcdf abd ae abe abcd bde abce ae ad bce c abef bd ace abc abd bcdf abe ab² d de ce bce ab² c bce ef d de ce ab bcf abde be ac bde bce ef bcdf adf e b de ac f ab² cf abe aef d de ae ab df ae be ac abdf de abde ad bce ef abef abcf ace abe bcd bdf bd ace abc df cef abef ef ce abce ac bdf abce ac ab bcf bdf abce ac bdf bce c bef bce c d abcf abcde abe bf bdf adf ace d bf ef abe abd acef be ac f cdf c acf adf abdf abc ac ad bce abf af ade ace abc abcf abcdf bc bf abc abcef ac f adf ae af bcf acef abce ac acf def c abc df cef abc abcf aef abe bf abc adf ac f abcf acef bc abf d be ac ad df c ab bcf cef abc bf abcde cde ef af bcf ace abc abd bdef abe abd abc cde ac f bf ab² cf ac abdf abc ac bc def ce ab cdf ace abc bf abcdf ab bcf abc cdf ac acf c bdef bc ab² bdef b ac f acdf ae abc ac bdef abc abcf acf def c abc def b² g abcf bdef ade c abc def bde af abcf ce acde ac bdef abef ac bc def bcde af bcf e abef abd bdf abe aef abc def cef ab c ce ade bde abc abce bf bc def ce abc ac ace acde acef bc abe ef abc bf e cde c cf abcef bd abc abcf bdef abcef bf ce be ac bdef def bcde bc def bdef abc ac e abef abd acf bce abf abc be aef bce bcf abc def ac abc be abdef af abe bdef af abf f abef ae bc ac ef abc acdef f bcef abcf cf bef e cf abce ef abe c ef def ac bcdf def abdef bc bcf acef be bcf bdef bef bcdef bc bef abcdef abc abcf cef abe abcf cf def e bc abcf acef g bcf acef def ac acf def ae bc ac bdef g ac bdf abef abcf abc def e abc abcf ef acf ac bdf cf ac g abcf ce acdef ac bdef abc ac bc def bdef g ac e abc bf abdef abe ac cf def e f g ce adef abcde bdef be bcdef cf adef ae g bcf bdef adef abde cf bce abdef cf def acf g abcf abdef adef abcde cf abef abdef abe adef ae ad ace bdef def abcf cf adef abd acde bcf acf be abde abdef abe abcdef ae def bdef g abg bdef ad bde abcdef 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bf abcg bcdf g abd cg bef acf g beg e bce bg abcdf acdeg bcg bdg beg bcdf g beg acef abce f ad abef ce ag abef bcg cg deg abdf df ae bdg abcef ace bdeg b bdf abe cdg abcdf adf acf acef adf ce bcdg ab abdf df ceg bcdf df bcde abcf abcd bdf g abc bdf bce bcg cef adf ce acg cdf ae acg beg acef abce dg bdeg acdf ce ag df abdf abce abeg abdf bce adef abcdg abcef ad acg abeg abcdf bce abg bdf adf acf aeg abef ce df acdef bcdf abce f ad bd adg bcf acdf bdf fg abd bcdf bce bcg cg df f acg adg d cde deg bdf de bfg acg df ce ag bcg bdf bf deg abdef df bcg bdeg acdf bde ag adg bdf bce adeg acg acdf bcdf g cdf acd acdf abg bcdf df abcg cg cde ae ag acdf bcdf acg beg abcdf df bg abcdg cdf abcdf abdg adg bcde df deg g de abcg abcdg cde ce abdeg bg aeg adf bdf bcdef df bdf cg beg bdf ade abcg bcdf abe abceg abcdg df bdf bdg beg bcde acdf adg ceg adf abcdf aeg cdf bcde abcdg beg ad bce abcg bdeg cde abdf acg bceg bde adf bcg abde df cdg eg adf ce acg beg abde cdf dg ceg de abdf cg abcd bdf ag deg e 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abcdf df bg e fg abcdf ag bf e aeg bcf abc df abg abcdeg abce bcdf acg bg ae fg bf cf abce abfg abdg bf bdf ag abg ace fg abcg acf abf abeg bdg abf ace abdeg bcg ce def acdeg aceg abce abfg aeg abcf ae cg bf af adf ab² g abe bfg ag bcf abcd fg bg f bf acdeg abc be ace bc abeg ae acdf abg af bcf bcfg bdeg bf af def beg e fg bg acf abe abcdf cg abf ace cfg bceg f bce abg eg be abdf acg abcf abd cg beg af bcf ab² eg abe ae ag beg e acg bg acf bce bfg ag be f ad beg abd adef abg cf abce bcdef ceg abe ae def abeg e adef bg acf cd cf ag bcf e cdef abeg abd abf abcdef eg d abfg g adg abd acdef beg e d bcd ceg abe af d bg e bf abeg abd abf abcd eg d ace cdef bcg ae bcf abg g bcf cf g ad abd def abceg bdg abf abeg cg abf cf d abcg acf ad bceg af abf abcd bdeg bcf abd ad bcg f bcf bd acg abcf bcd ag beg af acdef abcg ceg bf cdeg cg bf abcd bdeg abcg f def abg af abf bd aeg abcf abdef acdef bcg abcdf abcf deg e abcf bdef cg ade bd bdeg abd acf cd abfg abde bf bd acg acde cf cd ade abcdf d cdeg g adf abd def beg af d abcg acg bcf abcdef ag bcf abcd cfg de aef cd abg cg bcf f cd adf bdef bdeg bcg abcdf acd de cd bdfg af bcde abceg bd cdef acde bdeg acdef abcdef acd abf abcd aeg beg f abf ade abcdf acd bcdef bde bcg abd bcde bcg bcfg bcef bfg ceg bf af abde abcg bd adef bg cef cd abfg eg cfg af abcde abeg bcd bcf beg g d adeg bcdeg cde bcd abde acdf bd abf abg f abf af abde bdfg bcdf abdeg deg bcfg abcef ade abcdg acd abcd bde abg abd bef abceg abcde bf acde bcde fg acef bdeg bef f bf cdg bdf ad abceg abdeg acde aef aeg deg cf def abeg bde bf de bdeg cde bdf afg de bde adf bceg abde df ef eg de f abdeg bdef abde fg ac bde de f abdeg ade ef fg beg bde adf c bcde ade af abcdeg cdeg bcdf cd deg bcde acdf bcfg bdeg cdf bcdf abdeg cde ef b beg bde cdf ef bdeg cde abcdf aceg abdef ag abef bcfg bcde acdf ef aceg de aef bef cde aceg acd acdeg abcde cdeg aef abdfg abg abcdf adf cdeg bde abcf abd bcdg beg acef abdfg bg cef bc abeg cg cfg ac aceg de acf ad cdg cg abcef aef acg afg ef bdeg dg acg abc beg bde cd adfg eg acdg ef ab abcg dfg cd bceg eg abc aef bdg bcef ef b beg acg b c g cdg ef b deg bde bcef dg ag abf adg bdg abcg abcd ab abcg ab² abc beg ag abc cef abdg abg bdf abcef abg acg d cef adfg bf acef abc cdeg cf adef bceg cg abc ac bdg abcg aef aeg abg bcd b acef g abef aef aeg cde cf b adeg abcd cdef ab² ag cfg af bdg abc aef ab cdg cg bef abe cdfg bcf bd bc ade bcd b beg abcde ab c aeg afg abcd b bg abdeg bcef abceg cefg bef ef ag b bcd bc bcg bfg acd aef g abcg c cfg cd bdf abef bg g ab be ag abf acef bcdg bg aef bc deg bdeg bcf bce bdg abcg bcd ace befg abfg d cef acg bf ef cg dg acef abef bceg abdg cd acef ae fg bfg bcef abf ab² bc bcg bdg abcef aef bcdg acfg abce abc dg bfg abef abce ceg ab abce ae abdfg bd ce abcg bfg ad befg abcdg abcg aef bdg bg cef acdf abe bcfg d aef g bcef bdf ce dg bcfg abef adg bcdg ad befg ag fg bd eg cdg f ad bce abfg d aef e fg bcd abcef dg acg abef cef bcdg bf abd bdg acdg bd abef adg abdg ad acef abdg d aef bcdg cdg bcd fg bcg abcdg d aef abdg fg abd ae abg bd abef cdg bcdg cd acef ae dg abfg abef adg bcfg cd bce bdg d bcd bcdg adg abd cd acdg bcfg acd aef abdg ab acef bdg abcg bd e cdg ae ad ef bcdg d aef bcdg adg bdeg bef bce acg b abcfg abdg abe bcd abcef acdg abdg fg acef cg fg dfg bdg abcg cef cefg adg ag bef befg abcdg adg f abdg bcg cdfg acd dg acg bcef bcefg bcdg ad cf abcdg acdg af ad abfg ag def abcdef aefg dg abd abdfg deg abdef acd acef acg acd bcd bcdg ad bd bcf dg abdg bf acef abdg beg acef acfg abcg cef adef adg bcdef d acdfg abdefg adg abd cd cdg bdef d acdg acg fg abfg bdeg dg bd acd cdg bcdef cd abfg cg acdef bd efg cdg bdef ad adg bdg d abcfg abcdg adef abd abcef cdg abcd d acdg bd ad bcd ag cdef bd fg abcg cdfg def acef bcdg adef bd bdg cdg abdef afg abg bdef d adeg abdg bc abd abcdeg acdg abdef acfg bcefg abdef bf bcfg bdg def bd efg cdeg abdef ad cf abcdg abf bd bcdg adef bdef aefg adg abcdef d dg aeg abef acf bcf acdg cf fg f abdef acdef defg bdg cdef abcd efg adg abcdef cd cf bdg bcf abcfg bcdeg adg abd bcdfg beg bcdef def adeg abdg adef abcfg abcdeg cdg bd abcf cdeg c acdef abcefg bdg def abdef bf adg bdef abcef af abcdg bf abd bcdeg def abd bcf dg abdef cdef adg c cdef bfg abcdeg abc abdef bcdeg adeg bdef bcf bfg aefg cdef f bf abefg bdef abf acdfg bcdeg cdef f bcdg def cf efg cdeg bcdg cd cdeg c abcef bd efg acdg bcdf bf bc abcdef d acdeg b² bcef cdfg abdeg bc ef bcf abcg b² cdef befg c adef af abdeg b aef afg adg bdeg acdef cf bcdg cdef abdf aefg abg bdef acdef bg efg abef abfg ag beg cf bcf abc bcdef acdef bcg ag deg bfg eg adeg cef bcdeg abg abcdg df cf abdeg adef acdfg cg dg acef fg abcg h bcef cdeg ab² dg cdfg abdefg bg aef cdef bcefg cg acd abefg ac adg acdfg bcf bc abcdef cdef bfg acg abef dfg c beg ef afg b bcdg acdf adfg bcf acdef bfg g abc abdef abf bc bdeg adf dfg bf cdf bdf bdefg beg acef efg abc aeg deg bdf c beg abdf abcf cdeg abdf df befg bdeg b bcdf ac adg cef efg deg abcdg df acdfg g deg bdf abdfg abc abdf cdf cdeg c ab abcefg eg acdg abdf bf 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dfg ae bf bch bcef cdefg bch abef cdeg bcdeg ah bcfg eg bf bh afg abfg bh ah aef fg abf bfg bcdeg abdh f cfg abceg abch fg bfg afg ch dfg abef abce af cefg bcfg dh ah ag abef ah bh abcef abfg f cfg aef ag h acef ce ch abfg acfg acdg bh h adfg efg def abfg aceg bdh af afg abe acf ch cef bcdefg ch abcfg abcef abcefg bch bcdfg acdeg bch bcf dfg abdeg abcf bch acfg befg bh cfg abeg eg h bcefg e ach bdef cd adg bh bdh cdfg abcdg h abefg bef ach adh acd abefg cfg h abfg bdefg def dh abef abdh bh abcf bce bch bdh af abcdefg adef dh def bce dh abf abce aefg abf abd afg adefg bch abef defg abch abdfg bce dh bdh af ace bcefg dh bf abe bch abf abdef acfg h abcdef acdef bdh abdef abf beg afg def bd efg ah abcdef cdef abcfg bdef cfg abfg abdefg bdh af fg h acf cfg bce dh ch bfg eh bdh bdef afg abcfg cdh def deg abch def abd efg def cf adef abcdh dh def bcefg acfg bcf abdef bdefg abdh abdef cd bdh bh abf bd cefg h abd bdeg abcfg abdef ad abefg abcdg bf bdef fg bdh bdef afg acdg abcdef def acdeg acdh 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bcdefh abdg acdfg abcdefi dh bceg bcefh cdfi bcdh ceg acdefi bdefh deh bfg acdgi bceh bcfg aceg acdfi bdh adf abcegh abcegi dh dg cdgi adefh abdefh abdg abi abdh bcdg bg bdfi acdh cdfg acdgi abcefi abdefh aceg af adefgi bdeg cdeg bcegi cdefh bcfg cei dfi abdh bdg cdfi bcdei dh acdg abegi abhi abdefh ag abdegi abdh abcdg aegi eh cdh bfg bfgi abcfh abcdh bdg bdegi afh bdefg abeg efi acdefh acdg acdegi acegi abdh aeg abfi afh acdh abceg abcdefi defh adg abdefg bcdgi bdh g bcegh abfgi adh bdf bcdfi adefh adfg aceg adefi bcdh cg cdefg bfgi abfh abcg cdgi adefh abdh acdf abi abdefh bcdefg acdefg fi cdh bcg bcdefg bcdgi bdh abcdg abcdgi abcfgi adh bdf bgi abceh bg abcdefg abdegi abdh abdg adefg bcdefh dh dg cefi adefh adfg bdg abfi aceh acg cdefg abdefi cdh adg abegi acdefi abcdh bdg bcefi abdefh aeg bdf afi defh acdg dfgi bcfi abdh cg bfi abegi bcfh cdg bcdefi adefh adeg acg bde bdh abcdg abde cfi dh bdf abdfi defi acdfg fg gi ceh ag abdf bcegi dh bdf ade abfh abdh aeg acdefg abdefh adh abcfg abcegi adh adg g acdefi bdh bdg bei abdefi cdh bg acfi abceh cdfg aeg adefi abdh ag dg acei dh adg abdefi aegi bdh abdefg bfi aceh abdfg abeg cfi dh abfg adf bfi bdh bdg bcfi abfgi acdh dg cdgi dh adfg ag bcfi bdh abcdg agi acei adh abg cfi abhi afh acg abcdgi bdh ceg adefi bgi dh bg aceg dh bcdh ag cdefi acdfgi bcdfg bdefh fi dh bcg bcdefg abfi abcdh g abcfi bfgi cdh cdg abdfi cdh beg eg bfi abdh abf acdi cfi acdh abcdf acei adefi ceh ag gi efh g bcdf cfi cdh cdg cdgi abcfi bdh g gi befgi cg abg abcgi cdh acdfg abgi cegi bcdh bcdg bcei bdefi abceh adefg bgi acefgi bdefh abdefg abcfi hi bdeg acgi abdefi cdh abg abcdefi abcdegi abcdh acg bcfi bcdh bcdg cdefg bcegi abch deg bcdegh adefi acfh df defi bdefi abfh adfg acdgi bch abeg abcgi abcfi h bdeg acgi cfi abefh dfg abcdefi abch acdg bdfg acgi ch aeg bcefg abcdefi abch abcg acei bcfi adeg ag adfi acefh bcdfg abcfg abdi befh abg bgi acdefi bdh g abefi abdi abdeg bcg abcdfi bh beg efg cegi ch cg befi bdefi bh bg cfi bcdfgi aefh cefg abcfi h bcdeg bcg begi abh adg ci abfi efh abcdfg bdgi afi abefh degh acfi afgh adeg ag abfi h abdeg abcefg abcegi bh bcefg aefi abefh bcg g bdegi h fg abg afi bh abg cdgi abch deg cg bcfi bcdh bcdeg bg abgi bh bg cg cegi abeg abcdfg cegi ach abdeg bcg bgi abefh abg cg bh h acg adefi aefh bdeg bcg bdefi abcdegi cdeg ag abefi h bdeg abefg h abh bceg bcdei defi ch acg abdgi cefh abcdeg abg abegi abh bcg efi acdfi ah abdeg abcdgi bcefgi befh bg abegi abch abeg bf cdfi ah bdeg af acdegi bch abcefg cefi bh cdeg acg dfi ch ag adeg bcdfi bh abcg abcdefg abdfgi ch ag cdei achi abdeg dg bdi abh abcg cg cfgi ach abcdeg bg abcefgi abdeg abg efi bch beg ag acfgi ah aeg cgi ci bh abceg efg bh bceg cg cdfi ach abcdg bg abdfi abh abeg g acegi deg acg bfi ai aeg adeg bdei abch abceg acg gi ah ceg cgi aci bh abcg bf abh adeg cg abcefi ach aceg abg bcefgi bh adg bcdei bdgi bcfg cefg abefi bcdh abh adefg acefi bh dg abcgi abefi h cg dfi ahi aceg bg aefi abh bcg g bcdgi h acg acdgh bcdfi abdeg deg aci bh bfg abdeg adfi ah abdeg bg abcgi bh acdg efg befi ah aceg gi h acfg bcg abdfi abh abg acg afgi ach g abefg abcefgi abdeg bg aci bh deg ag bci h bdeg bi abcdh acdeh abg ci abh h g acdfi ach bcdefg abg abcgi bch abefg abcdeg befi ach ag adfi ah bch bg efg bh acdefg ag abcdgi ch g bcefg bdfi abh befg dgi adei abfg g acdefi efh acfg befg cdegi cdeh dg bdfi abch ach ag abcdgi ch cefg bg abcdfi befh dfg begi adfi ah aceg acdei abcdh acfg abg bcdei bch abceg bdg acdh ch abcdg bcg efi abh bg ai abefi ch cefg abi abdefh afg dg abcegi abh abcefg bdi cdfi abcdeh g bi ah cfg befg acefi abch adfg abcdefg dfi ch ceg bdgi efi eg abcg aci abefi adg abdefg cdfi h acg abcefg acdef bch adg abdei abci ach efg abcdegi ahi bcdg abefg efi dh abceg aci bcefi abdeh ag abi abcdh abdfgh acdg i bch abeg bcdefg afgi ach abcdg bcfi def adh cdg fi acdh acdeg bdg abdgi ch aeg abi ci abcefh bg aci cfgi cdeg cfg cfgi abcdh fg defg abcgi cdh abg abcdg acdfi bdh abcdg abfi adgi fg abfg bcdi bh beg bcdg acgi bcdh abdg bfi bdfi dh acdg cfi abh abfg abdefgh cegi ach bdg cdg dgi cdh bcg bcgi bdefgi eh abcdg adefi ah cdefh dg bdh beh acdefg abcdgh adei bcdh abdg abcdegi bcefgi beh cdg afi adh bcfg bdg c ach fg abeg abdh abfh beg abdei dh aceh bcdg acegi abdh ag abceg bcdei acdh bfg afi abh afh bdg cdgh bdh fg cdg abcdefi bceh adg bdg abdegi ceh acfg abeg bcdh bfh abfg fi abceh abcdefh bcdg adefi ceh abdg acdg abcegi abceh abg bdi cdh fh bdg abcefi eh bcdg cdg cdegi bceh acdg abdgh acdh aeh aeg agi acefi afg abcg bdfi beh dg aeg abdgi aceh abcdg acdi bfgi abeh adg afg bcdef adefg bdg c ceh cg cdg bcdh beh acdg bcgi abhi aeh abdg bcfi hi bdg beg fi abh cdg abdg bfi eh acg bfi befgi acefg adg fi bfh bcefg afi di aceh ag aegi abc dh abcg cfi cdh bceg abdg bfi eh acg defg bcdefi adh abg fi fgi aeh acg abcdgi ahi beh adg degi beh abcg bcdg cdefi ah cg bcfi abgi abceh bg ei abhi cdg bcdg cef abcdh acg abcfg def bch adg abdi cef eh bdg gi ceh abdg abfg bdefi dh dg bcdg cdefi abdh aefg bci acdfgi beh adg abcdi abh 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abcdg abcegh ahi abeh abeg cei abeh abfg ceg bcfi ceh aeg beg efi beh abeg aeg abhi cdg aceg bfi eh bdg adeg dgi abeh cdg eg abefi eh abcdg acdei aeh ag adg fi beh dg ceg bcfi eh abdg abceg acdgi abfh abeg abcdi abeh adg aceg defi eh bdg cdi bf abeh adg acfi cefgh bdh fg abfi aeh bcdg abceg fi dh abceg aeg adeh fh abcdefg adei eh bdg abeg bdefi cf dfg eg befi abcdh ceg abeg abegi bcfh abceg bcdefi beh abcfg abdeg cdefi abdh eg beg adfgi beh adeg aeg adh bdh abcdg adi abcefgh beh abeg bdfi bceh beg eg bcde acdf ceg cdefi aeh dh abcg abcdefi beh abdh ceg acdefi aeh eg defi eh adh bceg abdefi adi abeg eg abcfi df abdg abg abdeh dh abfg cfi cdefi bdh aeg abegh abdh abdefg abcg acfi abcfh cdeg cegh defi bdh acg bcde aceh adh abg acde bcdf cdefg eg bei abdh afg cdi bcf dh abcg abcdefi cdefi adg abdg bfi eh aceg bg abdefi adh bcg acegh bcdf aceh eg bcde bf abcdfg bceg bdefi abch bg bdefi abcei ch ag beg bdefi dh beg bdefi adeh bcg ceg abcfi abcdh abcdg cdeg abdefi adh bcg eg cf bdh eg di bcdeh cg bdh bcf abceh bg abcdegh bdf abdh cg adi abcdi g deg cfi adh bcg abdfgh abdgi eh g acdfgh df adh bcg bcdi beh bg aeg bcfi aeh bcdeg cdefg afi dh beg aeg bdf abdh bdfg bfi eh bcdfg abeg df adh bcg cfgh cf bdh bdg dei aeh cdh beg efi acdeh abefg acfgh bdf abdh cg dg abcdefi abcdf deg acei abeh adeg abcdeg di aceh eg acdfg cefi cdeh adeg bdg cdefi bdh aeg abci aeh bdeg beg dgi beh abeg cg cdeh ceh abdeg cdegh cfi beh adfg fi abeh abcdh eg deh abdefi g bcg ei fgh beg efi adefi abdh abdeg cdefi bdefi cg abcg cde acdh cdeg cg abcfi aefh aceg bci abdeh bcdeg bceg abegi abcei efh g egi ch ag bcegh abdeh dh beg afi cdefi cdfg bcdg abcfi acfi acg abcg df cdeh bceg bcdefi af abg acg abcdgi ahi abh adeg efi abch abceg cdgi bcfi ch ag cdegh adf befh abceg acei bhi abcfg bcdfgh abdf h acfgh adei h abh bcg bdegh acdefi adeg aceg gi aeh abdg adeg adgi abch bg abcdi adefi ah ag acdegh adf afg bg abcdegh bch bcg bcdeg defi ach g befi abcfgi abh bcg fi bh abcg abcdegh bdf bfgh afg adfgh degi bh bg abdefi acf abfg ag abi bdeh acg dfg cefi bch abeg fi befi ach g bdf bcdeh abefh cdeg ai abch bg aeg bdf ch ag ace abcdeh abdfg bg abe abh abeg bcdfg bcdf abcdeh g abcg abce abh cdeg abce bdfgi beg bdeg abci ah aeg beg bcf dh dfg abe cgi acefh abdeg abcde bdeh abdfg abg afi bh cdeg eg ce h g abi bcfgi fg deg abce deh acdeg fgh bcefi ah abdeg abcde h deh abcg abcdfgh bch h bdeg ae bdeh bdeg abg cefi adeh deg g bi aefh afg bcefi bcdfi bh abceg abe abceh abcfg bf ace ah ag dfi abcgi bh cdeg i cefgi h acg abcefi h aeg adeg bdfi abch abg g ae h abdfg e ch afg bg bcdfi abhi acdeg ceg cgi h abch ae abcdfi bh bcg bcdfi bhi abfg acg bi ch aeg bcg bcegi abh deg bdfi abdefgi abeg abdg bfi h bdeg bg acefi bh bcg abce abi ach g ae hi aeg abeg abcdei abch beg g adfi ah cg e abdei bh bg abe bcei abeg ag bcefi ah afg abcfgh cefi abh cdg abce acdfi ach acg abci ch aeg abg abgi bh abcg efi abci ah ag adei aceh aceg bg bce abh dfg abdg acdfi h bdg befi cefi abh dg abce acdfi abeg bdg acf ch aeg abfgh 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be bcfi abfg bdg cdi abdh abdeg abefg abdi abch abfg bdg bei abdh abcdg bde bdh acdh dg acei adh abg bcdg abcfi bdh aceg bceg abdefi bcdef cdg abcdi cfgi bdh abcdg bcei abdh adh abfg bcdefi bh deg bdi adh abdh abdg cdi ach dh defg acei adh bdefh bdg acdefgh h abcdg di ch cdh abfg fi acdh abefg cg abfi abdh abcdfgh cdg bdh aceg abcefg abdg cdh abdh aceg abei abcdh abfh bcde abdi abh befg abcdg bcdgi acdeg abdg di bcdh bh acdg acfi adh cfh bcdefg bfi abdh aceg dg bdh abcdef adg abcdi fgi abcdh bdg abfi def bdefg dg bcdh cdh deg abdefi bdgi bdh cg cdi ah cefg dg abgi dh adeg bdg cdh bcdh bdg abcei acdegi adh abg abcdi acdh cdefg acg gi abdh g bceg bcdh abcdeg bcdefh bdi acdh bcdh aeg bcei h abcdeg acdg ei cdh dg acde cef abcdh g abfi abdefi bch cdg cfi dh abceg aefgh acdi abdh bcdg bde fi dh dg acei cdh bcdh cefg bfi bdh abcdeg abcefgh fi adh bcg aefgh acdefi h g di abdh bdfg cdg aei dh bg efgh cdfi ch ag bcei bcef bdeg acdg afi adh cdeg bcdfgh aef bdh acg abcefgh bef abh cdg cei befi deg 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Monoid Structure