Details Page for 0.1746

Complete Solution is Known:

MSV File: q-0.1746.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₄₃(0.1746):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c=c, c²=b², bd=ab, cd=ac, d²=b², b²e=e, de=ae, e²=b², b²f=f, df=af, f²=b², b²g=g, dg=ag, g²=b², b²h=h, dh=ah, h²=b², b²i=i, di=ai, i²=b²>

P = {a, b²}

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bceg e f f aeg ag bf bcf abeg abg abg f aceg ac bf abf beg bg fg acf eg bcf bf bf bcg beg cf f eg eg bcf bcef abeg abeg fg af aeg cg bfg bfg beg e e cf eg be be bf abg abg af f ag cg abe ac bg beg bc af abc eg bf bcf abcg beg e af aeg abc be abce bcfg acef acf af ab bc bcf bf ac bg ce cf ceg aeg bfg abfg abeg afg acf af ag befg abcef bcf aef aef f cf acg eg bf abg ac aef ab² bc bc eg abfg abcf bcg bceg f abc ag abcef abfg abg cef aef afg acg acg abef bfg abg ac c efg f abc bcef bcef bcg abg cefg cf ag ag abcef abfg abcfg h aef fg acefg bcefg bcef befg abfg beg aef fg acg h abefg bfg bcg acef aef aef bcef bcef abef abfg bcg h beg cfg acg abc bcef abefg abcg h cef acefg h aeg bcef bcg ch ch efg efg cg h bcef befg bceg aeh ef efg acg abch bef ce h h ef efg acg aeg abcfg ace bcg cef cef efg h h bef abcg abch abch afg cefg cg aeh abcef abcefg h h cef abce abce bcef bcef abcg aeh efg fg h h bcfg bfg ach ch afg cef efg abf abfg abef h f f ef ach bf abcefg bfg bef cf cfg cfg abeh bf abfg 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cegh abceg cefgh cefgh bcefg aefgh ceg cefg aef ef bcg bef bfgh acg aeg eh abcefgh abeg bcf bcef e eg aeg be cefg bg bg beh ace ag f f cef abceg abeg i i acg aeg bi abefgh bg ci ae ae cg aeg bi ah abcg i bcegh abceh ceg ceg h be be i i e aeg acgh bi abci abg bcf abcef i ag fg b beg beg ei ce ceg ag aeh aeh be beg beh ab² ab² ae abc bi abcg abg bf cfgh bcefh eg f f bi bceg bf cfgh g ceg af af beg beg bf i cg eg cf b bg bcf abcf ab² ag acg af bcg ab beg abf ab² g g cf abe abcg i bcf ae aceg aeh f cefh abg abeh bf cg g af af bce bce beg abeh ag cg gh f f bcg abcg i i ci bci acf af bg bcf abcf abf g gh acf ab bg abeh abcf abcfh g cef eh ai abg beh abcf bcf ag abcefgh befh bg bcg ci i acg cg ceh abcefgh abcg abceg ei ci c cg bcei f abc bcg beh bceh abf cg h ach bg i i cegh ce acei ceh be beg bg abh abceh aefg c bi abi bceg bcg bh ceg ab² ab² bi bei abcg b abceh ae cg g ah abce bc abcg bef e c aceh ceh abce abce i ai ace e abefgh cef cef abc bceh abch bef aeg h ach be abg ai i e ae h bi abeg 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bcefi bf abefh abefh ab agi f abci abcf bgi beg abceg cefi beh ce acefh abcei abcei bce bce efi abeh ce ce bcefi bcgi abeg beg ab acf cf bfi bfi abgi abgi bfh efi f ae e befi abegi bceg bcfgh agi f ef ab² ab² abf be bcfgh efi f e ceg abcef abf abf abe abeh af ace abefg ah bcf abce abce bh f bei cfgh ah abf bcefh acefg acef af acfgh e abgi bf abe acfi cgi f eg befg abgi bcf abe be af af abcei e bcef bcf bcefh cefg cgi bei bei bcfi abcef bcf ai aefg acef f cfgh abfi abegi begi bcfgh cefg ef cf aeg abcef abcef bc bcfh efg bei cfh bcefg bfi begi cei bcfgh aefg aef cfgh acfh abefg abegi bf abg cefg acef cefgh afgh bcef aei bcg abcfgh cefi acef cefgh cefgh bcgi abcf bcg abcg cefg abei acg fgh bcefg ci bcefh afi acef c abei fh bcefg ei cegh acfi cef cegi ag acfgh bgi bgi bcg cfg efg cfh g acfgh abcfgi acei bfh cfg cegi acg ag abcfi abf abefgh abcg abg cgi cg abfgi aefh bcegi abcegi bcg bg acef cgi cg cg abcef bcef abg abcg f acefh ag cg acei acei bcg bcg acegi acfgh cfgh bfg abef acei bfgh efg aefg acef acefgh bfg abcef acei afg bg acefg afgh g bcf bcegi ehi abefgh acef abchi ef acg bcf bcegi cei abefh bcg cef bcei cfh cg abfg ei befh fg fg abcei acg bcf bcf abcfgh befgh f behi abcegh g g abfg bcefgh abcefgh cfg behi acfgh cfgh abe bef befgh abcg fg cfg abcei cg abcf abcfg abfgh bcg bg bcehi afgh efgh ag bcfg befgh abefgh fg cfh cfh acg abf abfg aci fgi af fg bfgi bfgi abcf bcfh bcfh fgi cf fg abei befi afi bfg abcfgh fgi bchi bchi acfh abcefg bcfg bfg abefh abefh cfg acfg efh bcefg abcef bfh bfh aefg bfi aefh afgh afgh bcfg abcfgh abcfh bchi abfi acfgh cfh bfg afi bcfg abch efg afg afg cfgh abefg hi ahi abcefgh efg fg fg bfgi chi chi ehi fgi fgi bcfi cfh cfh bcefg afi afi bcfh cefg cfg afgh bfgi bcefg ahi abefgh bfh aefg bfi efgh bfgi bcefg cfi cfi abcfgh acefg behi fgh abci befg cehi abfgh afgi efg bgi fh bcef befg afi afi bfgh efg efhi acfgh cfgh abcefg cefgi bcfgh bcfgh cefg abchi abci bceh abcefg ei abefgh afgi cefg abefi cfgh bceh eg gi abfgh afgi abcefi bgi bfgi bcfgi bcefg agi befgh acfgi efg bfi aefgh afgh cefi abefgh befgh agh befi fh fh abfgi befg cgi abcfgh agh aefg bf acfgh abeh abeh gi bcfgh bcfgh cefg bgi abefgi hi cgi abefgh cf ghi aefg aefg acfh bcefg abefg befgh bfh acfg acef efgh efgh abch gi gi abefgh cef bgi bgi abeh bch efi befgh cf bcegi abgi cefgh bcfgi abeh acegi bcefgh cefgi h efg aefgh bcgh abfg aefi abcefh abcefh ah efg fgh bf abgh gi cefgi bcefh acgh bcfi abefgi abcfg egi cfi cefgi egh ach abgi aefgh abgh bf efi bcfh cefgi agh abgi efgh bgh bh abch bcefgh gh cegh bcegi acefh abcegh beh cegi chi afg f cfgh cfgh abceh bf efi bcefgh aceh afg bcgi acfgh abf cegi ai abcefgh ch agh abcegi aefhi abgh bceh bfgh cef egh bcegi bcegi abeg abeg begh egi acef acef bgi cefh bchi abgh bh ehi hi fg afg acfhi bchi bfg afi afi bcefh cegh bcgi cei abehi bh abh chi egh ch bcfi bceghi acefh abegh cgi cg agh cf afg bcg ei abgh abf acehi egh bghi bgi fhi fhi bch bceh egi abfhi ach bgi cfhi ghi beh gi abcefhi ceghi agh abefi abhi abhi bh acegi aegi efg bcgi bgi abchi abcegh bh bcf aehi agh eh abcfi abhi bch bcegh agi abcei cefg ach abgi abchi bcefg begh fi cg ef begi bg abchi abcgh abch agi hi aceh abcgi abcefi abhi beh abceh aeg ahi acefg acegh fhi bg abcef befg acg achi efg aegh abchi abchi abcefg befg abefhi abfhi h bgi bchi ci bcef acei abcefhi acefg aegh abcei bcg cfhi abcg bcef cehi ahi ceh bcei abcgi ci ce ce ghi g aceh acefg bchi abg bceh acei ehi fg acg abgi fghi bchi bcegh acgi ghi abefhi acef abeg abeghi bhi bh gi chi abefhi ch bcgi abghi

Monoid Structure