Details Page for 0.7137

Complete Solution is Known:

MSV File: q-0.7137.msv

Growth Pattern:

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Details for Q₁₁₁₇(0.7137):

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}

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adf de abe abf abcd abd abcd bcd be bcf ab² bd e f abe ac bc acd e ab² df ad be c de abe bcf abcf ab de bdf be abcdf cd acd de abc abe ae aef f e bc acdf bcd be bcf ade bd bf f c ac acf acd abf ab² bd ae bdf c abc bc abcf d be ef abf abe abf acdf bde e bef ab de adf ef e bc acd de acf aef ade bd abf abcd c abcef bcd be de ab² bd ae abc c e bc abcdf de ab² bdf ad b aef abc abe ae bef ab e bdf be abcdf bc cdef bc abc ab d aef f acd bc abcdf bc be bcf bef d acdef f bde e acf acd ade ab² bd ae abc ac abc bc bcdf bef ab b ad be adf bc abe e abcef ab bef cdef ef e bc acd bc acdef abcdf abcef be bdf abef cd ac bcef be de bdef bde ab² abc aef e bc bcdf g ab² bdf bc bg ac acdf bde ae d abd b bdf be e acdef bcdef bc acf abcdf d ag bdf abc acdef ac cdf bde ce ag abd ae abc bde abcd acf abcdf bcdf acdef adef ae g bcef ade bce bg cdf ab bd adf abde bcf abcd adef e acf aef d cdef bdf de acf bcf cdf ag abd bdef abd abcdf abc cd abcd ag acd bcdf ab² bg ab² abf c ade cf abcdf bef ag bg ag g adf dg bde bcdf d abd d ad be adf cdf abcdf e abcg abd ag cdg bdf abdef cd bg cf abde abdg g ef ae abc acdef abcdef acf aef abdg ag adef ab² g bg acf abde abcf g ab d ad def cd acdef adef abcdef adg abd d abf bg bcdef cef abcg abcef eg bcf dg abd abcdf ag aef ac dg acd bcdef ag abe f abc c abcd cd acf abeg ag bd ag aeg cd cg cd abdg adg abdg d cdef be bcdef bce abcg abcdef dg bg d abd bdg abc cd bg ag bdg bcdef abcde bg f abc aeg bdef ag ace abeg be bg abcef eg ac abeg cd bg abef ab d g acdef cdg cg bcf abcdef bce bg df eg bdg bcdef cdef bg abeg eg abd bdef aeg f abc deg beg ag ac abeg acf af f eg c abcdef cdef acf g abcde bd dg aeg c abc cdeg abcdef d aef d cdef be bcef eg abdg abcef cdef cdeg d abd fg ag eg bcef abcdeg cdef bcdef abcde af beg abc bg ac bcde abcg adg abcde abdg df ac cd abcdf bc acd dg abdg d bdf be abeg abc bcf abcef abce bg abceg cdef bdg abeg eg abeg e cef cde fg abd bde cef cd acd bcde bdg bcf acf abd f acdef abcg adg acdeg ef dg deg ace e acdef bdeg dg bcdg bdef d abdg df bce abcg cdg acef abdg abcdf aeg cde bf bdf bde fg adeg bcef bceg abfg bcf abcde af beg cef abe abdeg bcdg acfg adg acf adfg acg aeg c abc cdf b bcdf abdg f cg be cdg abcd abe abcef bcde abfg fg eg b bcfg abcg ace fg adeg abeg dg abfg bdeg cef cd acd bce abe bcf eg acfg abcdef acdef abe bcf bcd abeg adfg aeg bdeg cg cdef abdeg abc cdf abcdef adeg bdfg abdeg eg abcg cdg abc bdfg abcf eg abd dfg abcdg bde e acf bdeg bceg acfg ab bf aefg f bcd acfg bcf aeg bdfg adfg bdf cde acg acdef bdeg abcdf cf bceg adfg bef adf abdf abcg cd acef cf ac cdf abfg adfg cef acd e abc abeg abcdf befg bdeg abcdfg adf b abdf bde bcf bcefg acfg aefg abcdg af bdf abdf abeg abcdf bcd ace bcf acef abeg bcd bde abcef deg cdf ac bcfg bdfg cdg aeg abeg bcf acf cf abcf deg abd bf bce acg cdg acf acd eg befg adfg e acfg abcdef abc cdfg abcf acdeg bd aefg d cde adfg cef c abcdf bcd bdeg aef befg bcef abdf cefg c deg cdf abcf cdf acdefg aefg abf b bcf acef ce bdf befg abeg d abf b bcfg acf abeg fg abfg aefg bf af acg abcg acfg bcf deg cde acdefg acef bdeg abdf befg efg acg cf acd adg dg aefg eg beg bcf acf cde abcf bce abeg d adg cg bcfg acf bcf cdeg abefg abeg h af f abc acfg bcdfg abce b defg abcdg h fg h c deg cf ac dfg bdef h aeg h c acdf cdf abcf bce bfg bdf h beg bcfg abcd bcdf h cefg cg fg abd f bcdg befg cd h acdefg aefg bce af abcef abdf abdeg abc cf bceg fg bdefg cde h befg bcdf fg adh ac bce dg bcef d abceg bcf acdf abeg abcf cdf h ceg cdef c bcfg acf bcf abcefg abceg fg h af h abce cdfg bcf bcd abfg h acef abdeg abch cdef cdg adfg cf h bch dg abf acdeg cefg h abcde abfg abcf bcde h ceg h acdg abcdfg deg bcf ceg bcde cefg fg abdefg f bcde acf cd adeg abceg aefg h acdefg abcef acdf acefg bcdf cf h dfg bdf abfg adh e h fg bcdeg acd cf h bcef abcdefg ae aefg acdf cdh bg bcd abeg ceg cef abdfg bcdefg abc c abcdefg cf adh fg cefg bde adeg cdfg abcf abcde bg c bce abdf bcdefg abcd h bch cdf cde fg bdef cefg h cdh abcef abcde aeh abcdf cf beg aceg bcd acefg adh ach bch bcdefg cf cdh adfg cdh abcef bcdefg abceg bcf acf bcdeg h dg cdef ac cef bdfg bcdf cf h dfg acdef bch be ade abcef adfg cef abcdef abcde bdfg bcef h abfg c ach bcdf be cdf bg abcdefg ceh aeh abcdh acf cde abcdefg bcdeg abcdf h cdef abcef bch abcdeg abde acdf cefg abcdf bdf abdf abcdef bce h bcdefg ae abcdf abcdefg acef bcdef df ae bcdf h bceg abcf bcd befg adf h cefg aceg acdf bcf abcdf ae aeh bcdefg bcdeg abcf bcefg abcdg cde abcde bcdeg abcdf h bdfg bceh bce acefg aceg cdf abcef ceg bdf aceh df acdefg bcdf adfg cf abcdf bcdg bdfg bcef df abfg c acf afh abcf abcdeg bfh af bdh bcdh bch abc bcef abcefg cef abcdf afg abf abcdef cg abcdeg bcf abcde cefg aceg acef abf bcdefg bceg acfg adfg bcdeg h bcdefg acef bcef df cdef bcdf h cdf abcdf abceh bfg adf acdef cdefg cdeg acf h abcefg cdf bdh abcdefg cdef bcef bcdh cefg cd abcdeh acdefg abe h abfg acg cdf acfg c abcde cefg acdeg bcd adeh f acdef acde h cefg h abceh acdef adh df h abcef bdeh abdef bcefg abdh ceh bcef cdeh abcdh bcefg abc bcf acg bcd adfg afg ceh abceh bceh cefg abcf abh acdefg ac ae abdf f cdf ach bcefg abc cdfg abcefg acef abf f bceg bcdf bcfg acdefg bcefg abdfg bf bcef acdef h afh ae acfg acg bcd c abcdefg ceh abcef h abc bcf dfh cefg ac acfh bfg bde bcdfg cdefg c abc h bcefg acdef dfh f aceh cdfg bcfg acdeh h ag bdfg abe abcdfg cdefg afh bcfg cdf bceh bcd cdeh adf acdef cfg abcefg ceh adfg abcdefg cdf abcef abdfh ceh abcdf ag acf c h abcfh bcdeh abh abdf h cdef acfg bcdf abc cdfg abcefg abcdg cfh df cdefg abceh bcfg abdh ac afh cefg bcef e cfg abcef cdef cdfg abceh cdf h abcdeh cdeh abceh bcdh acf abdg abcfg ceh bceh abd cdeh abceh cdh acfg bceh h cfg adf acdef abdg df h abcfh bcfg acf cd afh ceh abdf abcdfg cef abcef acefh abdf adh cfh cfg cde f bcdg bcdh ceh adfg acdg cdf bceh bcdfh bdf cdeg bcfg aceh c abcd cfg bcdeh h cefg abcef acdeh bceg bcdfg abcd abcfh abd ceh bfh abcdfg cefg dfh bcfg abceg ac abc abcg abcef f abf aefg ceh cfg abcfg cdeh bg adf h abcdeh abcdfg abcg abcdf abc abdfh bceh bcdfg cefg f cdeh abcdg bceh abcd abdef dfh ade cfg df acdeh h bcfg acf cfh abd bdf abceh fh abefh abcef cfh abdf acd ceh abcg abcdeh df abf cdg ceh adfh acdg cdeh h abd bdf acd bcfg cfg bceh abcfg cdfg ace acdeh acdfg abceh bcde acfg bcfg abcd h abd ceh abceh f bfh abcfh aef acdef bcf bdfh bfh abcef df ad aceg ceh abdefg bcdh abdg abceh adf ceh defh abcfg cfg abceh abgh abcg abcdeh aefg acfg bceh abgh bdg bcfg abcd cfg aceg h aefh abcdfg cdeh ach bcfg acf cd abd cdfg abceh bfh abf abcef adef bcefh bcfg ceh d bcdefg acdef abef b ceh efh acdg abgh cdfh adf bdf cgh adef abdef defh bcdfh acdfg ace befh h bde cdeh bdef bcdfg ceh bcfh h cdeh dgh bd bce abceh bcfg abce h abc bdf abceh df cfg bcdeh ceh bfh abcefg abh d adf cdeh abgh bcfg befh cgh acdg cdfg h abgh bdf bceh bcefh abcg afh abcd abf bcdfg abdefh bdf abcdfg cdeh adefh abeg acf cdgh bde h bcdeh bfh ade efh cdeh abgh cde bcdefg d bcfg acdfg cgh abcfg ceh ah aefg abgh efh bcefg d afh cdg abcg abh acf acdef bceh acdeh acefg adgh h abcg bcfg abcd cdgh bcdefg cdeh gh abch bce acdgh cg acdh h bcdefg bdf bcdh abgh bce abcfg bdefh bef abcefg abgh bf bdeg begh acgh abcdfg bdg abh cdg cdfg h af bdf aegh bcgh ab² acgh abfh cfg beg abe aefh abeg bce h cg bfh defh bcdefg h abgh bdg d dg bcgh acdefg bcdeh begh bdf bcfg ceh ad b abgh defh cfh bce acdefg abgh cdfg h cg abdf bch abgh deg acdgh begh bcg adf ceh cdefg bcfg abdefh defh ef abcegh bdf abcefg d h aef abcde abceh acdg bdf bcdh acdeh bcg abcdfg ceh acdefg abeg abefh bf abde d abf def abcfh cegh acg abdf h abcdegh adeg abgh abh abcg adf h cefg acgh abdefh bcdeh adegh cdh h cg h adefh abcfg acdeh dfh f abdf abcdfg cdh bcdg abdh acdeh bf abcdegh bdg abf abcefg abgh acdefg def adegh e acdegh acefg ade acdfh abf aefh bh adgh adegh abdg acef abcefg begh cefg abcdefg afgh abcdeh bcdefg abdf acgh bcefg d abcefh bcdfg h defh acg ade bch f abdef b h abc bcef abgh bdfg bcefg abdfh abcdeg df afgh acegh abcefg acefg afh abe abcdeg cegh befh abc afgh h bcd abcdefg abe ae b begh acgh adf bdf abdef f bcgh adefh abgh abf afgh bfgh acdfg c abcegh e abcdegh bg ab² df h abdfg f abcdgh bceh adfg dgh abef ef cfg abfg h bfgh bdfg abe bdf cfh abg cefg abcefg bg abdfg bde abdf bch af d afgh bcdfg bdf abh ceg ade bcdefg bcgh cdfg dg h acdefg f abdg bdf af bg abcdeg df adegh h f acefg afgh adf e adegh bfgh bcdeg afh bg abcdeg bcdeh bcdfh de ace bfgh adefh bcefg h abh f acdeh ag abe cfg abcfgh bdfh abceg c acd ade af bg cde bcdefg h abc abd abcdgh g afg acefg abcfgh abcde cfg abh bg abcdeg dg abe bf ab abg abceg bcdgh bdg bcdeg abcdfg abfh efh abcdefg bfgh acdgh c acfg bcefgh aceg ade dfh b cefg abdfgh adfg acefg abe abdg bdf afg bcdfgh bceg df dfgh h aceg cdefg dg ceg ab² dfh aceg bcdeg abcfgh bdg abf bcdefg afg bdf af acdeh bef bcdefg abcdgh adg aceg adh g abe bfh cfgh aef de bcefgh abe abf abcdegh acdeh bcdeg acdeg adh e abcefg acdeh g adf bfgh afh df cdeh adegh cdeg cdfg f abe bf dfh bdg bcd abcdefg befh bdf df adefgh e af bcgh dg abe acefg abdfg bg cdegh dfh f ab² acgh bcgh bef cdeg afg bdf bcefg

Monoid Structure