Details Page for 0.1726

Complete Solution is Known:

MSV File: q-0.1726.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₉₄(0.1726):

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}

Phi = 1 a a 1 b b ab c c 1 acd acd ab b b ab²c b²c d bc bc abc ab b b ab²c ab²c e bc bc abc be be b b² e abc bc bc abe ab²c ab²c b²c ab e b b² bc b²c ab²c ab²c ae ab ab ab² be b² ce ab²c ab²c b²c bc abe ab² ab² f ce ae ab abc bce bce be f ce b bf bf abce ab²c ab²c abc ab² ce b bf bce bce f f abc abc bcf be ab ab bce f f ace abc be abe cf ab²c e ab² f bf abc be cf cf e e b b² af be ab²c ace ae ae abcf bcf bef ab² ab² f bf e aef bce bcf abe abe af ab e bf ab²c bce bcf f acf ce ab bce abce abce bcef abc cef ace aef abf bf bce abce abef af abc ab²c abcf acf bce bef f f ce be g g abc cf ae ae ef cef be be abc acf e e acef abef abe ab² f bcef g e e be abcf abe ce ce bf bf ae ag be abe abe bef acf ef abf bce bce bef g acef bcg bcg aef bf aeg ab ag ce e abeg bcg cf abce acg aeg f ce ace ag acf bcef bce cg e ce ce ace g abcef bcef cf acg ab²c cef af ag abcef bcef bcef bg bcf acef cg bef abef ab ab ef bg eg af abe acg bcg ag abf bcef ab² abg abe bef bc abc ef afg afg bg f abe abcf bcf abcg abcg b²c cg cg abg acef abcf ce acfg abceg cf aeg cg abg abg b² ab² ce abcef abcef acg bg abcf af f g cf bcef bfg abg cg ab²c acg af bef abf b abg fg bg bef f abc abcg ceg bce abcef abg ab² af abcf abcg abcg bcg e efg abg ab² ce be abcf bc bcg b²c cfg abg bcfg ab abcf acef abcg ae aefg cg abcefg acef be cef g abcef abeg ab²c be acg abc befg ce ag bcef aceg bcefg bg abc abc bef f ab² abce b abg bg bceg abef ab²c ab²c bcg abcg ab b abg ace ab² abef bcg abf e aef acfg cg abceg acef cefg ceg bcg ef abcef acg h aefg abcf ceg aceg bh bcef cf h aeg abcf abcf fg abcef g bcef ab²c acg bg abcf g ag ab abcef bce bf h abcfg abcfg acefg f bh abh abf bfg acg h bef bcfg ab²c ab²c abh abf bce bceg abef b² acefg ach ab²c bf ef abcef abg afg acef af bcg bh e acg acf abceg ab² bce abh aceg ab ae acfg acf abch abcf ceg b bcef bcef eh cfg cfg h eg ch fg bcef abcef abcef acg cfg abch beh abcg ag g abf aeh abg abch aeg ceh befg bh efg aefg bceh bf abc beh bcfg ch abcg abh ae fh bceg bceg fg fg ch ceg aeh eh ah fh abeh afg ace cefg cefg bch cfg acg acg eg bh ceh abefg bceh bf bce aef be bcf aceh abefg abh bceh cf afh bg abg abeh abcfg abcf befg bfh abcef afh bg abch beh cfh abfh befg eh aeh abg bfg beh af abeh bcfg aefh eh ah aeg abceg beh ab² cefg cefg acefg eh cf e bfg ceh abefg ag ag acefg eh acfg acfg cfg ceh aceh cefg abceh abcefh bceh bcfh bcefg abeh bef aceg afg beg bce abcefh bcefg bceg ce aefh abfh abeg bceh gh eg abcefg abfg abeh bcf abefg cfh abcg aeh abg aefg abfg ace g abfh bce aeh cf e aeg beh abeh bfh bce cfh abf e aef bfg be abch gh aceg aceg aefh ef bceg cfg be aceh bcf acefg ae bh bcef bceg beh ceh bfh bfh e eh ch agh acfg abceg beh abefh abcfg abefg bceh aef bcefg bf ab ace bcgh cfh cf cgh bcefh aefg abg gh gh agh b² aeh aeh ach fh ceh aceh abch ab² bce ceg cgh cgh eg ace cfg h bcefh abcfg eh acfh ach bcefg cg beg gh aegh bcfg aefh ef fh abceg cf abefh bcf abeg bcefh abcefh bgh abcefg bfg bcegh bcgh bch bcfg ae ach afgh bceg bce ce abcgh befg abcf abeg aefh abgh abfg abg aceg acefh ag aeh efh b²c abcfgh efg h gh gh afg afg ch bcf cg egh cfg be agh fg cfh bgh acgh cgh abefh abefh ah abeg abcfg b eh aef abceg cg befh bch abfgh abegh abceh cfh bce bg bceg bcgh bcf bcg beg beg abgh abgh abceg ace fh ceg bcfg efh ach acfg abgh abg bcefg efgh ce fg g cfh egh aeg aefg acefgh abceh acef af efh bfh befgh abg cfg abeg bcfh ag f acegh cefg bfg eg acf be abeg beg af bh abgh bfg b² acg h bcfh abcg cfh abefg bcefh b² acg fh beh g ceg bc cfh abceh bcegh acefh acefh befh fg ceg abcfg bgh acfh e abefgh abfg cegh aceg acfgh cfh i acf e abg bcfgh abcg abcgh aceg cefg eh cgh bg abcfgh bcfh aceh af befg bfgh i abg aeg bcf bcfh begh abef aef i bfh abf bce bcfgh abcfgh abcfg cfh ae abfgh abceh abgh bfg b² ceg i i befg abef abi cg bfg abcfh aceg bcf bcfg aeh abe efgh acg fh fh abcef ceg abcgh acfh aeh acf acg efg afh acegh ag g bcefgh i bg acg ci abeh cegh abefg bgh acefg acfgh acef aefg abefh abcef g abeg efgh aceg ace bg cf bi bi ai aef cfh ci bgh bceg bceg fh ei cefg bcg i bcefgh cg bceg b h ag ceg acfh b²c egh cf bci ci fh abf g acfh ei bfh acfg bcei bch cefh ceh ab² acfgh acfh f abg ef fgh abcg abef ag bceh abi bcef abfg abeh abcfh aei abefg bci abfh abh ceh abg abceg abeh acegh abcg bci bcefh cei bcefgh acfg abcef befh bi ceg bei cfh bcf acg abg acefgh bcfgh ai ceg aefh efh abfgh cg acfg fh cefgh acefg b² cfh cfh bfi efg abcfh befgh agh abei g ag aefh aefgh abi aef aci beg befg abei i bcegh bg ef abi cegh abcg beg cei abcefh abcefh bg abg abi abefh g cfh bci aci bcefgh abgh ei aei befgh fi abcg aeh bci acfgh efg acefgh bcef afg ceg ceg aefgh efh acg acg ci acfi cefgh i ceg aefh b² abcefg eg eg acefh abcfi abefi aceg bfh acfh bcefg ci begh bcg beg acfi abcefh abcfi bfgh aefgh abfg afgh cefg eh beg bcf abfgh abefi abg abfg agh abefgh cefg cfh abei abfgh acfi acef abce bceg abefgh afg bcg bei eg acfg bi ci acfi afh afi ai abci acfgh eg acfg aei cefh ceg ceg aceg af aegh abcei aci abcfh acefh cgi g abcefh f cfh bcefg abefh cf ae agh befg abh bfgh abfg abfg abfi beh abegh afg abefg ai ace bf abfg bi acefgh ef beg bcfi bfh efg bgh bi afgh bcfh cefg fi acef efh aefgh aeg abfg abcef ceh afg abeg acef bfh abcei cg bi fh cegh aceg i afi cfh cfgh cg beh ci fh bcf i ace bfh bcefg abch bcei abcfh aef abeg abh bei abgh abcefg ei bcgh cefgh abefh bci cei bcegh bfgh aci aci abfg abegh begh befg ach acfgh aeg aceh ah ceh bcef bci abcfi ach cfgh aefg cfi ei ef afh fi fi afi cfgh acfgh aei acfi abch acefgh acefh abceh afi acfgh abgi bcei aei b²c bcgh abcg bh bceh cfgh ab² abi ab²c abefgh befgh bcfi abci bcegh abceg abcefg bg abgi ceg befgh abefg bci efgh bgh abcefgh h bf bgi afi abef bcfi eg acfi acfi ceh aceh gh bgi ai begi cfh cfi aci aci egi befg acefg bceh gi ch efh ei abcfh fh abci cefg abh abcefgh bceg acfi acfg bch abegh bei fi bfgh bgh bcefg abi bi bcgh acgi abcg afi abh bfh ab² abi abfg abcegi g befg abcg bci cgh bcefh h ah ab befh abefh ab² bcf bc egh bfi bcei gh cefi bcfi abcgi efh eh ci aei agh efi ag i i gi cgh acfi ei abcgh ceh bcegi fi cef ace cgh aei abch abefh e cfgi abcfi bceh bceh bfgh bi abegh abcgh bcg afi abci abefi f bcefg abcegh g agh bcfgh cgi eh acgh abcefg begi abi bf abefh cei afi afi aegh bcf ci aei ceh begh abfgi acei aeh aefgh egh ae ci abegh g acefh ce bceh ab² bcefi abch cf bcg egi cefi abefi ace aefgh acegi abcefi aei beg acgi abci ace bfh f abcei bfi bf abcg abegh bci abefi acgh bfgh aei gh bcei bcgh abci fi bci cfgh acfg ei abi acegh befgh cegi i aeh abef efi eg acfi bce afh afi bcefg ach bcf gi abi acfi bcef cegh bcfi cefi abfg agi cfgh aei abcgi abeg fgh bgi befgi acegi abceh abcei abfgi bcgh abegh abcg bcfgi aegh ce bcefgh aefi abi abegh begh abcefgi fi afgi eg abfgh abceg bce abcef abeh abei afi abcfi acfg ci bceh efi abcg befi cei bchi aeg eh abcgi cfi fgh h g acefi fi acfgh eg abegi cfi abcgh acegh efgi ai fi bcegh aeh cg acfgi begh abcfg bcfi bci ce bh agi abfi beh abcgh bchi acegh bcfi ce abgh efi cefgi afg abeh bcfh bcegi befgi ach ace aefgi bfi cefg begh beh i cefgi bcgi be aefi fh cegh ahi hi ai abe ab² abhi bhi acgi afgh ah i fgi acfh ach egh efgh ab begh abei bci afgi bcfgi abegi cgh aehi abeh ab abcfi afh bci acef acef bhi abcefi aehi bch g abci abef abc cfi abhi bhi begh abegh abch abchi abei begi abh aefi bfi bi cefgh afi fi acefgi aeh aci bhi efi acefh h fi afi gi cegi bcgi efi bci cfi afh i fi abceg ach aefi aei cfgi abcg egi hi ah abhi abfh abcefi bcei beg abeh abef bcfi fgi acef bcegh aehi abfi bgi gh abci abci cfg bgh bcegh aefi bfgi abcef abch acefi cehi ace acgh abh aehi abce acegh ah bcgh agi fgi abcegh begi abhi bfi gh afhi fi ace acgh ach cgh afhi cgi cfgi ah befi afi gi acfh aehi bcfgh fhi efgi afhi abehi abcgi abfgh achi bi abcei abegh abch ah acehi efg bcefh bceh achi bcefi cegh abcgh abcfi bei acfg acef abceh bceh acegh abeg befh bcgh fgi aefg bcegh ci efgi ceh abgi i bcfgh abegi aeg begi chi ei abgi agh afi ahi acefgi acgh be abeg bcg ab agh ceh cehi bfg cfgh abhi abfi bcfgh ci ah abefi abcefh abgh aegh bfh bcefgi abcefi begh acghi efgi acg ace abceh bcei abcehi befgh abch abch acg befgi cegi bceh cefg aceg bcegi bfgi abcgh befi be acgh efhi bhi abgi fgh acefgh bfgi acefi cfgh efg aehi abhi bgi bcg afgh afh bcefg acfh acfh ehi befg abgi afgh h efg bfgh bfgh bgh abcefi efh bcfgh ab²c bci ceh aghi abegi abcei aehi g cfgi bcgh behi cefgi bcgi bcfgi abceh bcehi abfgi e afhi beh abcfi agi abfh aefhi abhi acgi acegh bcfgh bcfh acefi aefg efhi ehi bcehi acghi fgh ceh abehi afgi aeh aefgh eghi acfhi ei fgh ahi bg gi afgi eh aehi egi egi befhi cegh bcf ai befgi ag abghi bgi bcegi befhi hi abefgi bceg bgh abceh abh abcegi begh begh abcfhi acg ce cfhi abcegh acefg abgi acefgh bcgh acg bcgi aei abcefgh bceh aceg afg ai ah bg cefi abc afgi bceh bghi cefh afg gh i abfg cfgh ef achi aef bei ceh abefhi bceg agi fgi ach aefhi abeg bei cefgh cef afgi abfg cfh aefhi aefhi ef abehi abcgh abei befgi abfh bceh abcefh afg abi bcfgh bcgh cg abcgi bcgi bcefhi bh abhi ceg befgh beh abehi acegi aefh acfhi bcefgh bcegi bghi ah abehi bef cegi aefh cfhi efh acghi fgh acf aeg acefgi gi aefg eh abcg beg egi ceh fhi abfg abfg

Monoid Structure