Details Page for 0.1765

Complete Solution is Known:

MSV File: q-0.1765.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₆₉(0.1765):

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

Monoid Structure