Details Page for 0.3374

Complete Solution is Known:

MSV File: q-0.3374.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₁₅(0.3374):

Q = <a,b,c,d,e,f,g,h | 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>

P = {a, b²}

Phi = 1 a b ab 1 a b c ab ac d c ab ac bc ab² c ab b e abc ae ac b abc c ae ac e ab ae ab² ac ab c ae ac e c b ab² e ace bce b ce e ace ae ac e ab ace b ce ab ace b ac c ab ace b ce ab ace b ce f ab ace b ce c ae b e f ae af b f abf af b e abc ae bf e abc ae bf b abf ab ae b e abc ae abce e abc ace af ce abe abc be bc e abc ace bc ce f ace af ce ab f be b abe ab ae b ce abf ace bce abce f abf ace bf e f ae bf e cf f acf ce abf f ae af e abf ae af e cf ace bcf ef f cf be bf e f ae be ce abcf ace be ce abf f ae af abe f ace bcf ce abef ace ab cef ce f be bf e abf be ab abce b abcf c bf ac b ae af e cf be c acf ac ace ae bcf e bc ae abc e bc ace abc acf abe bce ace abc ef bc bce be ef f bce aef cef ce f ae bf ef abf bef acf ef cf f acf af abcef abf acef acf abef cf abf acf bf e cf bef acf abe cf bef g abef ag ace be ce bc cf abc g acf ac aef g ef ag bef aef cef acg ag bce g e ag bce ae e acg aef bef abg abef bg bef abg e bg acef cg abcef acg bcef cg abcg ef ag aef g abe bc bcef cg ce e acg be cg acf bg cf abc acf ag bef abg cef acg bcg abeg g ef ag aef g abef ag acef abeg abcef af bg f abg beg ag acef abg ef bcg bcef f abcg e ag aef g ef ag aef g abcef bcg bcef cf cg acf acg ace g abef acf abeg cf aeg acf bcg abf g cef ag bef cf abef acf bef f abef af acg f g abef ag bef f e af ag ae g bcf bcef bef abf abcef acg aef f abcef bf bcef f cg bcf bcef eg f bcf bf bcef f abcef af acg be cg bcf bc eg f aeg af ag be g acf ag cf bceg acf afg cf fg g bf acg ae beg e ace cf cg bcf afg eg abcf cg b acg abcf cg abe abeg abc ce abe ac acg f e af abeg f beg bc afg abeg f abcg acf bcg f bcef af ae cf bcef e afg cf f g af ae ab bceg acf abcef abcf abf acf afg ace abf abcg b eg ab aeg ac afg abc abfg bc acf acg cf aeg bc ae abc beg bc bfg abc cf cg bc ae abc abcg ac abeg acg abcfg cg abcef f cf bcef ac abeg c aefg bc bfg ab abfg e bfg acg ab aeg af eg abc aeg bc abef abc f abg abef cf abc g bc efg cf aefg acf acfg cf cfg cg acfg acg abf abcg acf cef cf abcfg acf abcef bcg cf abcg acf abeg cf aefg cg abefg ab bcef cg bfg abceg bcg aefg acf acg f abcfg beg bcfg acg abcfg abcg bcfg bg h abg ah afg h aefg cg cef abc bcef abg ce bcfg h bcef ce eg h abfg abcg ce bcg ace g ce abcef h ace ah efg eg aefg beg bcfg abeg h g e acg abeg abfg beg bcfg abh ae abcfg ah acfg acef cfg af abcef f befg af abefg abceg acefg g abce cef ace fg bceg afg abh ae h ah abc abch fg ce bcg abceg ace bch ce abeg aeh bch bceg abeg be abfg bh acfg abch cfg ah ce abeg h abfg ah eg acef fg ah acfg ch beh bch eh eg ace aeg cef bfg bce fg abcef acfg ch acefg abcfg abeh afg ae fg bh afg bce bcef ach eh bcfg bcef aeg bh afg aef fg abce bfg abch bcef bch eh acfg bef abfg ce afg bef fg ah bcfg abch acef bfh abcef abeg ace fg abeh abeg ch cg bh abef bcfg bcef bceg ach abeg ace beg abcef afg bef fg bh bcfg aef bcef aeg ce eg bcef fg abe eg aef abfg abcfg bh afg bcef fg eh afg bcef fg bch bcfg abch abcfg aefg abef abeg efg fg cef afg abch abcfg bch abeh abcefg h aefg abcef afg aef fg abcef abceg bcef ch acefg abeg fh ch abfg abcef bfg abh abcfg cef acf bceh abch abcfg ach cefg h abfg abcef bfg ch abf abcef abeg efg abh cfg eg ae bcef aeg abeh eg bcef aeg aefg eg acef h aefg abcef abeg h f ah af cefg h abcfg bch bcef abch abfg ah ag abh h abcef acg bceh h abcef ach bcfg abh cf ach ag ch abh befg ah ace abh bceg ach bfg ch cf af ach abfh abch acefg ach cefg ch abcg acfh bg beh beg ah abeg abfh ch bcefg bch bcef aefh g e eg fh aceg bh bch bcef h fg abefh eg abh aeg efh abeg afg h abcfg acg bcfg abh beg bch abeg abh beg acfh abceh bef abh fg ah abeg h beg abeh ach bfg cg abfg acg bfg abh acfh ah abefg bcef befg efh abceg abcfh aceh abfg bh abcefg h aceg bh abceg befh bceg ach cefg ch abch fg ach abceg abh g bch ag ch aeg afh abeg afg ch beg ach abeg bcef beg ah ag h ch cfg abef abeg beh beg ah bcg h g afh abceg cfh aceh abfg ah abef h beg bh eg fh h afh bh ch beh bceg ah ceg ch g ach ag ch beg efh bh fh aeh beg eh ag aeh bcef afh bfg fh bceh abcefh ach abeg bceh g abceh ag cfh beg afh bch abfh beg abcefh bch eg h g ah eg fh gh afh ace abcfh bcefh ab² cefh acg abc g acfh abceg cfh bceg bcef ach acg abgh g bc ag aeh g bfh ceg cfh abc ac abeh bg abcfh g bfh abeg fh abfg afh bgh acgh cgh b bgh ag aceh aceg afh acg ag abch g cefg ab beh cg bfh acg ch bc aegh abceg abcfh bcefh cg abcefh acg cfh abg abcefh af abcfh g acfh abeh bgh acefh abg abeh ag abcfh g abefh abceh abfh aefg b abefh ag acefh g abeh ag befh cg abeh bcg abcef aefg g abefh ag aefh g abeh acg fh abcg afh acg bgh abfg g efh abc aeh g bef bcg af abcg abefh bgh agh aegh abg abefh acg aeh g afh bef agh g beg abefh ag acf g afh ag befh bcefg aegh agh bgh fh aceg abeh ag aeh g acfh bg beh ae abcefh bgh abcef fg g bcef ag cfh g bcef acg abeg af cf afg abceg abcfh ab efh ag bceh g eh cf abceg acefg cg eh ag fh abcg afh ag fh g abcefh cf abceg aefh aeg ceh bcg b g beg ag cfh fg g acg bcg abfh bceg ceh bc abch fg acfh bcfg bcgh abcfg abgh acfh abceg abfh cg bfh acg bcf acegh cefh bfg acefh abfg aeg acfh cf bceh abfg acfgh afg aeh abfg abgh afh bgh fh beg eh abeg h fg abf abcf bgh g abcef afh acg fh cg bch ag abch fg efgh bfg bcgh bf cgh afh eg ch aeg bh eg bceh bcefg abcgh abc agh aceh cg afh eg acf bceg ab acfg abcfh abfg begh abcf cefg abh aeg bh abeg bceh befg begh bcef beh abfg bcefg afg acf fg beg abgh afg beh aefg gh afg efg cfh abcg cf bcgh abch bceg cf bfg af cfgh gh bfg bceh abch aceg abeh abeg aceh abcef f cefg efg abfh f bcef acg fh aefg ach abceg ch abcfg cg afgh agh fh aeg bcfh eg af cfg bch efg ce acefg acegh bef abcefg fh bceg bfh efg fh aefg eh bcfg bgh bcefg bceg bfh acg abch abcfg afh bcfg beh aeg bcfh bcef h abfh bceg bfh acg abef bceg ach bfg cfh e bh abefg bgh cef bceg afh bfg ef beg aefgh efg aceh befgh gh afgh abeg abcfh acf ach abeg ch abfg ceh cefg abfh cfh acegh ace bgh fh aefg bch bef abch befg beg bfgh abegh ce abcgh abceh abceg fh cg bcef abceg

Monoid Structure