Details Page for 0.3352

Complete Solution is Known:

MSV File: q-0.3352.msv

Growth Pattern:

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Details for Q₄₆₂₄(0.3352):

Q = <a,b,c,d,e,f,g,h | 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>

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 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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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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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abcfh aceh abg ag af def acg abcg deh bcdef bcg aceg aeh acdef dgh cdeg acdeh ag deg abcdeg abcdef bg abdeg acf defg begh abceg abceh g abcg bcdeg bcdef adg bcdfg deg acdg g abcdeh bcf abdef acdeg aceg aeh acdef aeg bdeh cdef ag abcg abh bdg acdefg bdeg bdfh cdef bdef deg def g abeg acdeh cf abg acg aeh abcef acg abcdf bcf bdef dg cdeh ceh abcg ag acf adef abcdef ace abcf bdg bg bdeg abdef bcg g deg acdef bcdef abde acdh bcdef gh bgh acf def aeg bdeh adef dgh bg cdeh bdef bg bcdg deg adef acg ch bef acdgh abde deh abdef cdefg g adeg def ceg bcg cdef cfh acdg aceg abcdef acdefg cg aef bcef bdefg abcde abcef abcdg abeg aeg cef acd abcdg abdf bh abdg bcg bdeg abdg acdg aceg acef dfh ag cdfg abcdeg cefh bg bef ah abcdgh cde aef adef bdg beg cdfh abegh abg abceh ch acdefh bdg ef dfh bcdef abg abef bcdeh bg eg ef bcefh ag aceh abh bdg dg bef h cdg aeg aceh adfh g abdf beh cefh bcde abef ah dg eg ef cgh ag beg abcfh abcdfh bg abcef ef bcef ag bcdf bef acg beg bef bcdfh bcg abcdeg bcdeh bef acg bcdf bh abdg abeg abef bcdfh dg ceg ef bcef abdg cef abh acef bg bef h adg aeg bdeh bef abcdg ef df aef adg cdf ah dg eg abeg abef cg acdeg abdeg ef abceg bcdg aef cdfh cg abceg bef g dg cde aef bcg eg beg bef abcgh ef bef cg abeg aceg ef cgh bcdg acef abef cg beg abh acef adg bef abdf agh aceg deg abcef abcgh bcde abcef aef bceg eg ef dfh abdg adg acdeh aefh dg bcef ef abfg abdeg aef bcef abdfh dg bef ef adg ceg aef bcefh eg beg abcef fg adg aceg bcdfh acgh eg acef abcdgh bcdg abeg adf aefh acdg bef ef bdgh abdg cef abef bdefh beg bef efh cdg aeg cef bcdgh bdg acef bef abdg bcg abef aefh acdg bcgh abcdf abefh abdg cef abef abcgh bg abcef ach dfg aeg ef cdeh bdg ef bef aefh abg abef ah beg bdg ef bh abdg abeg abef abcdfh bg abdg ef abefh cg abceg bef acg abcg bef efh adg eg aef cdfh abce ef bef bgh abg abef ef abcg eg acef bcef ag deg abef efh e bcegh cef bceg aeg cef befh acg beg bef aef abg adef cef abefh acg acef acdh ag abceg bcef abcdfh abceg ceg ef gh cg dg bef g abcg abcef bdeh abef ceg aef bef g acef abef bcdfh bceg bcef aeh bg eg ef abef cg abeg adh bdeh beg bce ach befh ceg abcg abc g abeg bcef cef bdgh adef cef abcefh eg bdef cdh aefh beg bceh bcdeh dfg def aceh abefh abdeg abdef abh efh beg acdefh cef adefh abcdg ceh abcef acefh bceg cdef ah deg g abcdef deg aeg bceg abef efh beg bcdeg bcdefh aegh aeg cef bch abcdeg eh def bdeg abeg abceh cef bcd eg bdef deh afg acdfg abef acefg beg abdeg bdef defh bcdg bcdef acdh abcdfg beg def bcdefh bcef ag abdef abh abcdg bdef acdef bcdefh ae def ah acdeg g bdef cdh ceg abeg cdef bgh dg def abcdh cdfg cg bcdef cdfh bdeg abcg def bdefh abeg cdef abdef gh abcdg bdef dh bcdeg bceg adef aefh abceg g bdef acdh bce abdef cdef adegh bg def bdh adeg ceg bcdef abh abcdg bdef def degh abg adef bcdh bdgh eg bdef cdh cg abg cdef bcdh beg acdef bdef adefh ceg abdef cdef bdeg beg acdef bdefh bcg adef bcdeh gh eg abcdef cdef abdeg abg bcf bdh deg abce bdef dh aeg bceg adef bgh abceg def abcdef adeg abdeg bdef bch bdefh adeg 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befh aceh abg ag abdh acdefh eg cdg bh abgh bceg acdeh bdef abcefh acde abg bh aeg cdeg def bdefh cdeg bcdg h cgh aeg aefh abh aceg abceg bch ach adg abcdeg bcdh bcefh aceg acefh abh aefh abeg g bcdh abceg bgh aceh acdh aceg deg acg bdef beg abch h abeg bdeg bg defh bdg cdg deh bdh bceg acg bcdef beg abdeg abg bh fg bcde abh bdefh beg bcdg bdeh dh ceg beg abh bgh bceg ag h bceg cfg abdh bcefh cf adg beh ah adg abefh ch abfg abdg efh defh fg acdeg bch adgh bcfg bcgh bdh bch fg abcde abch efh adg cde ach acgh acg abdeh abch eg cdeg acdeh cefh acdg acde ach beg abdg abcdeh abh aeg aef acdf abegh adg acdgh afh befh eg ef abceh bgh abde bcef abdfh deg abcdg abcdh befh bcdg aef abef abcgh dg adeh h adg ag bdh dfh bdg dg cdf abdfh adg bcgh bdeh bcdgh bdg cdg df abdeg abeg bcef bcdfh acdg abcef bdf bdgh abdg abcdf bcefh efh dg acde bcdfh adeg bcdg bdf bcefh eg aef df abcegh adg abcdg h abceg abcdeg bdf ade abdeg aef adfh ah abceg abcef abdfh cdfh abdg aef df abcdg acdg bef h abcfg bdg ch aegh bdg bcdegh acdf begh abeg bdg ah abceg abdg abcdf dfh bcdg aef acde dgh dg df bdf bceg abdg bcdf abh bdeg egh abdg bcgh cdg bdg ch deg bdg cdg abfh bcegh dg cdf ch agh abdg bcdf acegh abegh cef cdf abcdf dg acdf bdf adg acfg bcdf befh adgh acef acdf ch abeg bcef abcdf bdgh abdg cdg adf bgh abcg adf abcdf dg abcef h adfh begh dg acdf cdgh defg afgh h deg acg bdf cde dgh cdg df bcdfh abcefg cdf abcde acdfh abdeg abdf adfh abegh dg df bcgh cgh bcdg ach cdfh bce aef acdf cdgh cdg cdf bcdfh acdg bdg acef abch bcdg

Monoid Structure