Details Page for 0.3465

Complete Solution is Known:

MSV File: q-0.3465.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₁₇₈(0.3465):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, c²=b², bd=bc, d²=b², b²e=e, de=ce, e²=b², b²f=f, df=cf, f²=b², b²g=g, dg=cg, g²=b², b²h=h, dh=ch, h²=b², b²i=i, di=ci, i²=b²>

P = {a, b², ad}

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bef bg abg bc bf ef g bcg f af bg abg ef abf aef bcg ag ab abcf acef abg eg cf abf g ag fg cef acef cg abce bfg ace cf ace g f af f abg eg abf abcg ab g acef af f bg abg abf ef abeg g abeg f fg bg ce bceg ce bfg beg bcg f bef acg bg abg cf bcef g ag beg f cef ace cg ace acf cfg beg ae f af ace ce ace bf abce bce g f bef bcfg be bf ef bfg bcg abcg bef acef cef be bg abcef aef bcg bce abce abcf abef bcfg aeg eg aef abfg h bcg fg abcf bef aeg abc acf ef cfg abce bcg ab bef ace acg bc ef efg beg b af f cefg aeg h bfg cfg abeg ceg fg abcf befg abg abceg bfg acf ag b²c ab²c bcfg abg befg acg bf acfg bf bcefg beg bce bcf befg bceg abceg cfg bf ceg beg abeg fg afg abc h efg abf ceg aceg f af fg eg h acf abf efg aceg bh af abefg cefg h bf abf abfg ceg bce af bce abcfg bceg h abf bfg abcg aceg ach befg bcfg eg abceg efg bfg abeg aceg bh acefg fg eg abceg h aefg cfg beg bh abh fg afg h aef ah cfg acfg bh abh befg fg bceg h ah cfg abfg aef abh bcfg fg bceg h ah bfg abfg aef bh abh fg abcfg befg h bfg abfg bcefg bh abh fg bcfg bceg h ah cfg acfg bh bef fg bcfg abcfg h ef cfg acfg efg abce abh eh acg h aef beh cfg aefg bf abh eh fg cefg h ah abfg bfg bh abh bcfg abcfg befg ah abch abcefg bfg bcefg ch ach bg abcef befg abch beh bf abfg ch bh af afg af abch acf cfg bfg fh abh bh fg befg ah h g cfg acfg eh bh acefg fg cefg h abeh acfg cfg eh bh eh bcfg fg abch ah abcefg bfg efg bh ch bceg afg abch ah ceh bfg abfg eh bh abg bcfg bfh ah abeh bfg abfg abceh bh eh bceg bcfg abch ah ag acfg bcefg abh eg bcfg abcfg ah beh cfg acfg efg eh bceg bceh afg bfh ah ceg abcg efg eh bceg bef afg cefg h ceg bfg abfg cfg bceg cg afg abcfg h ah ceh cfg fh bh bceg abg abcfg abeh beh beg ag fh afh abh f bfh abefg bch ceg ag bcfh abe ach bceh bg bfh aceh bcg bf abce bcfh abh cg bg bfh abfh ah abf acfg cfg aeh abh af afg bfh h abcg aceh bcfh aeh befh abcef abg fg h abef ag abcg afh bceh abg cg bceg abfh abch bcg ceg bfg abh cg eg fg abfh ceh beh aceg bcfh fh acg bceg eg bef abef beh ag bcfh fh eh abg abef bceg ah ceh ag beg fh aeh eg cg aeg bfh abfh agh bcg fh abf eh cg eg abeh abfh gh ef abcg abceh eh ce abg bfh f abeh beg abeg cf bceh eg bceg bfh af beh beg aceg afh aeh eh bg af aceh ceh bcg abeg cf afh ce bg abg abfh bce bcefh abeg abf bf abcfh bceg bg abeh abfh cfh ag abcg bf abf bg abg bg abeh abcf abef bcg abcgh abcfh befh bg abceg abc ceh abef ag ceg fh ef acgh cg aefh bfh acef g ag abcfh ef cefh bg cg bef acef ag g agh ce ch bg cg bef abef efh ag beg ef abc bceg acg abef bef abef bcg ag beg fh afh cg bg bef bfh abcg g ef bf abcfh cg abg b²c abef af g beg aef fh acg abg cef af abcf cfg abeg ef bf ef eg abef bef f af g ceg ef acf abg acg bfh abfh abcf beg aceg bf abcfg acgh bg beh bef bfh abcg bc ce bf abf ae bg abce bcf g ce agh bf bcfg bf abce af f bcefg ceg acf cf bf ef bce ae f af ag be ach eh aef abce ae abce f abcefg g bf abf befh bgh abce bce af abcefg g ce fh ef bg abg aeg abef abcefg abef abe bh abcef aegh cg ae ah abcefg abef ace abeg acf abcfh abcfg h b²c af abef be g ch eh aeg ah aeg h bfh aceg ce bc eh fg bce abce abeh acfg cfg be abe abcfh bf cf e abef abeh f gh ch bh bf cgh bch beh abeh cfh gh abeg aeh bcfh abcegh ae abeh aceh cfh bcf ace bc bcfh abcfh acgh bce ceh cfh agh abcgh ace eh fgh egh bce beh aceh bfgh agh ce bceh bf egh cgh ae abch abfgh bcgh abcgh abceh bcfh egh cefg abeh h abfgh agh gh eh ch afgh egh aegh bce abeh bcgh bcg ce ach ch bcegh egh bce abce abfh g abcgh aeh bh fgh egh bce beh abfgh abcgh acegh ce aeh afgh acgh abeh abce acfgh acegh cfgh befh i fgh cgh cefgh bi abfh begh beg abegh i ach aegh acgh bi abeh abfgh gh acfgh abceh ai fgh bcfgh bi abi efgh abegh abeg eh ach bcfh abcegh cgh beh bch efgh cegh cefh ai abci abcegh aeg beh bi abfgh begh abcgh ef ch bgh aegh beh h ceh agh abegh i ai aegh egh ci bi abi bcgh bcfh i bcfh aegh egh abi bfh abi abfgh bcgh bcfh bcef bcfh egh fgh bi aceh ci cegh acegh i aeh abcfgh abcegh cefgh ceh ei abegh abfgh bci ai aeh bcegh afgh bg cfh agh bcgh i ai aeh aegh afgh bi h abegh agh aef ai 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abefi bgi eg ace bci gi egh fg fi afi abcefgh begh abfi bfi cei bcfgh abgh bcfi abcfi abcei gh agh bfi abei bgh aceg abce aceg bgi abegh agh efi bfi gi beg abce afi bcei cfgh cegh bg bfi acfi abcegh bcegh beg fi bgi abcgh bfi abfi efi aceg bce egh fg acefg gh agh eg acfi ceg egh ceg afi afg abegh bgi abfi bfi abfg aegh aceg bcfi fi efgh abcgh acegh abei bfi egh bcegh fi abceh cefg bceg gh bceg cfg efg acgh aegh fi afi abcfg abcefgh acei cei efg bgh gi fi afi bfgh agh begh abfi cfg afgh f bcfi abefg befg abefg abgi acg cfg bcefg cgh bh bcei abefg acefg abegh bch bfi fgh acgh bcei abcei acefg bfgh befg bci abci efg acfg cefgh ci fi acefg gh abgi ai abcfgh befgh aegh bcfh aci befg abcgh abfgh ai acfi aefg aegh ei abi cefg befg bef abci bfi abcefg egh aegh abcei abcfi abefg abfgh bf bfi aefg abcefg aegh aci fi cefg gh cgi bfi abfi aefg aegh acefh afi abcfi efgh acegh ah abch abcefg egh aegh acefh bi abegh begh h acei bcefg fgh afgh aci abcei acefg bcgh ceh h bfi abcfgh abgh cefgh bcfh fi abegh cfgh abfi ceh abcfgh abgh bh eh abcfh acefg bfgh beh ceh cefgh abcefg abgh abceh abcei egi agh bch abei bfh abegi acgh ach aci fgi abegh aefgh h acei bcefi bgh eh abh bceh acefg ceh ah cfi abfgi abgh aeh ch aeh acfgh cgi h aceh acfh egh bgh eh bcfh ci gh bfgh h abch bcgi fgh acefh aeh ach agh abgi h acfh bcefg abf afgh befh ci aefgh agh acei bch beh cefgh bcegh abceg aei cgi agh cfgh abcg bch aegh abcfgh aeh eh aei agh abfgh aceg h bfi abcegh abcfgh ach abh abcei agh bfh h acei abgh egh ach bh fi bcgh abegh h beh bfgi fgh bcei abh aeh egi aegi bef ah abegi cgh fh afh ach abceh efgh cfh h bfi cgh abcfgh abceh bceh bfgh cfgh cfh aceg ceh fgh abegi acefh abh bcei acfgh abef bfh abeh abcgi egh bcei abh aeh agh abgi bfh af acfi abegi abcfi aeg abh aegi fgi abefgi acei bei cgh bfgi abcfh abh fi agh bcfgi ceh aceh abci abcgi acgh aeh ach abgi af bfh abch abci aegh abcgi ch ach egi aegi cfh aceg cegi abcgi cegi cf eh egi cgi bfh abeh acfi aefi abcgi fh ach bceh bgi cfh ceg f abfgi gi afh ch bhi acgi abgi acfh ah acfgi bei bcfh abcfh eh ei abcei acfh bcefh beh cei abf bcfh bceh bcfi abgi abcefh efh bfi cfi gi fh bh aeh cgi aegi acef ah bfi agi cefi aef eh ei bcei bfh bcefh aceh cei bfgi fh bceh fi bcei bcefh abfh aceh bfi bcgi afh abcfh abcfi acgi abcegi cfh beh abfi begi befh abceh fh fi bgi cfh abeh bfi gi cefh bf bceh acgi bgi abef af bcf gi cegi abcfh bceh abcfi abgi abef abeh abef abci gi aef afh bcfh cgi f af beh acfi aefi aeh ef eh acgi bgi hi af cfi bcgi begi aef acf befh abgi bef bfh abcefh cfi gi bcef abf cefh afi egi bef cfh agi bfi abcfh abf bcfh ci fi bcefh ab ahi ace abhi ef aef bf abcfi cfhi bef abef agi bfi aef ef ehi bgi abcefg f abfh cfi abfi abf ef acf abgi bgi abcefg cef abcgi acfi acefg abcef abf acgi bgi abcegi bef bcf gi begi bcef abf abcfh abce b²c bef af abef gi cegi abf acf cgi egi bcefh bcf bef bc abc bf abf afgi acgi ab²c bef acfh begi abe ch cf acf acgi bcegi beh bfh abcefi abg acf bcfh bf bcegi abcegi ah abef cef acegi ace bf fh egi bcg abfh f af abci ce aeh fh bcfgi bce abeg beh bef aeg gi eg fh ef bce abgi ae cfh abef agi ace abf ch abf bgi bcefg h acfh bcgi acegi abh befh abefh abgi bgi bef f begi gi abh ef abf cgi ag bch acfh f abe cg ch abcfh cefgi bgi ceh h acfh abceg cg bh abcfh abcfgi abgi ceh ah bfh gi abg cefg bh befgi aceg egi h bch abfgi aeg bg bh ef fgi acgi bcg h efgi acg eg ch bceh bcfgi bgi bcg h beh aeg begi bh aef acefgi bcg ag h aefgh abfgi cg bfi ch abceh cgi abcg ceg beh bcefgi abegi abefh aeh abceh abgi bgi g h behi gi cg bh abh abcfh ci g ah beh acefg bcfg abh eh abceh egi g hi aceh acfgi cei aeh abh bh abefgh abi befi h behi fg acg abcfh bh aegh aceg acfh aceh ceh abegi abei aeh bh abcehi cfg ahi abeh beh abfgh abfgi abcfh abh ch abcfgi bgi acfh hi abegh agi abci bh abh acefhi abcei bchi beh abfgh abcfg abei eh ach afgh acfg aei h bcfg abcefgh agi bei ch abh befgh abcei h ah bcefgh abcgi abcefgi bceh abh efg abfg bcei ah behi afg bcefgh aeh abh bfg bgi bcefg ah h bcefgh abcefgh abh ch aeh bcg acfg h hi abcfg bfgh acefg bh eh bcg efg abch h ceh befg afg bh eh abcg cfg aefg bcefh abeh abcgh abcfg bci ch aeh efg abfg acfh bch abeh aeg acfgh bh eh ag bcefg abi ah abeh abfgh afg ch eh aefg efg abi fi beh afg bcfg ch eh aeh aefg fgh abeh ceh fg afg bci abci ach efg acfg abi beh bcefgh fg afg abceh bceh fgh abfg acfh abeh ah abcfg afg abci abh bcefg abfg efg ci ah abegh bcfg ai bfi abh bcg bfg abi ah aeg afg bcefgh bei abeg g abfg abi ceh ah gh befg bci ch abcg cfg abcfi abch bch fg efgh bci abh g efg befgh abi ah aeg gh bci abh ceg abgh befgh aci bch aeg eg bfi abci bh ag cgh bfg ah bcgh bg fg cei abcefi bcg abcg fi bi abg cg efgh abci cei abeg bgh abcfgh aei ci acg abg abei abci abgh g acgh ci bcei abg acg abfi abci acgh ag efg abcei abcfi abcgh bg abfgh abfi abei g beg abefi beh ahi abg eg efi bci abgh g cefi ci behi gh bceg begh bci abhi abeg ceg abcei ci hi eg abg bci aefi abgh g afi ci gh bg bfgh cei bci bhi g abeg bcei acehi abcgh acg abfi bci aehi cgh abeg bcei abcei begh acg bceg abci aehi ceg abcg abcegh ci behi aeg bg bfi acei abcegh bcegh fi aei afi aeg gh cei bci abhi bgh bghi aci befi hi abceg aefi cfi bcehi bcegh beg afi aci abehi abg cg cei bfi abcg bcg abcg afi cehi abg cg aefi abci bhi abcg abeg abcei befi ahi cg bg aefi bcehi bcg g abcfi cefi ahi cg abceg bei agi beg abeg beg fi hi acfgh abceg bcefi abci acefgh bcefg g beg ci abcgh abceg aefi cei afhi bcfhi g beg abcfi abfhi abg eg efi bcefgi aefg g abcegh abcfi hi fg ghi bei agi cefgh bcg aceg aei abefi aefgh cfgh efi abci bcefgi afhi bghi bcg ci acfgh abceg ghi cfi acei bcfgh abcg abcegh ci bfgh abfgh eg cfi agi efg g abefi ci acfgh aeg aghi abfi bcefi efg abcefg g afi acfgh abfgh cg ghi cg acfi afgh ehi abcfi bcfi cfgh aefgh ghi bfi acei afgh aceg beg befi abgi ahi ghi cei agi afgh beg bghi aeghi cefi acfgh ghi aghi ai bfg cfg bghi abcg ci abehi efgh ghi befhi aefi fgh abefgh abghi ci ahi efgh bfi ceghi abci abefgh befgh aci abcefhi acefgi ceghi abcefgh abci bci agi begi aehi abefi ci aefgh hi acefg efi abfgi cefgh bghi abghi bcfi egi bfhi ghi bci cfgi bhi abhi cghi aci cgi behi ghi bceg abci acfi agi abefgh befi cgi acgi bfhi bcghi bci aefi gi cghi befi abcfi abcfgi ahi aghi bfi bcgi abhi eghi abghi bcfi befi bfgh abcefgh ghi abfi acefgh bcfhi bghi

Monoid Structure