Details Page for 0.3446

Complete Solution is Known:

MSV File: q-0.3446.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₂₇(0.3446):

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

Monoid Structure