Details Page for 0.1725

Complete Solution is Known:

MSV File: q-0.1725.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₄₇(0.1725):

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

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 e be b b² e abc bc bc ace ab²c ab²c b²c ab abce b b² bc b²c ab²c ab²c e ab ab ab² e b² abe ab²c ab²c b²c bc ae ab² b² f abe ace ab abc bf ae ab² ab² b² b b ab bf e ab²c ab² ab² ab be b bf e bce bc abc abc be b bf abce ae ab² f abc ace bc bf b b² e ab² f abc abc ab²c aef b²c abf abce ab² b² bc abe ce ab²c cf ae e bce f bcf abe abf b²c bce bc bc e bcf aef ab² f ab b abf ae abcf f b² abe ef acf bce e ab²c acef f abcef abe b ae e bce bef af bc ab²c ace abf ae ab² ab² abce ace g bc bf abf ab²c e bce f abcf abef ce ag b²c ab²c af e b² ace abcf ce bf cf abce e abg bcf abcf b ab²c cf b²c abce bg g be ag ab² bef bf b abce ae abc f be abe bcg cf bf abf abcf g ab²c ag bg acf ef b cg ag af ce be acef abf beg e ag cg af cef bc acef abf abf bce aeg f af bef be ag abf ae b²c e abcg af abe bef bf cf ab²c abc eg eg abe ace be cg aef ae bce bcef bcf ace abe acg ceg cf abce b g f acef abe acf cf bf abcef ef bceg ab²c abc abg acf bg b ef aeg bceg ce acef abc abg bcef e cg ef bceg be ce abg abcef afg e be ag abe f abef ace ceg ag b²c abcef afg af b² bef abef beg abce bce bcf eg abe beg be acg aef aef abcg abceg ab²c abc cef beg afg acf abce bcef abceg abceg ace abc abg e abfg abcg ef f cef abc abe cefg bf e ae b acg ce abef acf bfg ag bcef g abcf f b² ace b²c aefg bf e aef bceg aeg bef b² acefg abce bcef bce abcef aeg bcfg b² bef abef aef ef e bcg aefg bg bef cg b aef ag bce abcef afg abc cef abeg abefg aef abce bcef bcg bcefg bf ce cef e ab²c ab ef bcg cg acef cef bfg bcef ae ab²c abcfg abg cg abe ace abefg bcef cfg f h h b² abef aeg ce abefg abcef abce h h ce ab² abef acefg ef ef aefg acef acg b² abef abefg abfg b²c b abce cf abg bc be cefg aef b abcf abce afg bcfg bef abeg abefg ab b²c b bf abef abef abfg cfg ah abce e b²c bef bh abc cg f acfg ae abcef bcef bh abef ace ce abefg bcef bcg ab b²c efg cef ace acg f b²c ach bcefg cf bf cfg abg f abcg b abce ag bf acg abf h abg f bce b abce cf cef bef abe h abefg bcfg ef ch bcg ce b² af g abcef ef efg bg ach abg ce b² abeg eh b b²c bef bh abfg b² abeg ef ae eg bcfg bh abh acef ce bcf ch abce e eh aefg aceh ace acfg af fg bch abce cf be beh abe ce eh bcfg abce ag abh ach acfg h abefg f bce ae abce aefg bcf cfg abe af bcf b abce acf bf ce b² f bcf g ef e abf beh ceh f abe bcfg ef e aeg h bh bef b² ace ef bfh bce bcef abh acg acfg bceg aceg h abcg e bce g cfg ace be af afh afg fh g b² bceh b²c ce abefg bcfg abce cf ach bfg aefh acfg h bc g ae b²c ch be ce abcf bef abefg bcfg abce bh bf ce cfg abef bch f bf ae abf bfh be afh abcefg abcfg bce e ceh bh b²c bef aceg ace bch ag bce ch abh abceh be f bch h fg b ch ab abe f be abc fg efg bce b b²c acg aeg ce bcg abc ae efh ef ab abg acg be h g ae bh bcef bfh beh abg f abch bcfg ab²c bceg b²c cg acfg bc b² e ab² abcef ab²c abh be abc aeg bef bce g abfh acfh abg ce aeh bcfg b² bcfh afg acefg b²c acg befg f bch h bcg e bf ab cfh h be abef ceh efh ef abcef cfg acg abcefg abeg cef ag abcg beh ef bfg abg abfg b² abef aceh ag b²c abcef ab²c af b² bef abch ag abcg bcef b²c bfg aeh acg bcf bcfg bcg ag ef agh bg cg cgh bef bcg beg ceh b b²c bc abg abef be abcfg bcg acf aceh b bg bfg abcf ag bcg aefg aef ab acfg bef bch aefg abcfh ag b²c acfh bce b b² abeg fg ag abcg h ab²c acf bf bef b² e abcefg g b²c cf abch acg bch ae ace ag ef abgh b²c bfg cfg aefg abcg ch bcg abcfg b²c cf bg abc cef abcfg bcg g abfh b cfh bceh bce bc b² ag bce bfh acfg e eh abef cef abceg abefh g aef ach bf bef acef bcfg cef beh ceg acf bf bceh bce bcfh aeg ag abcg g bf h abg bc acfg abc abcg beh b²c bfh abce abceg cef bceh bcg g b² beh eh bgh bf f be h abcf bfh bce cf abf abceg eh f b²c ag abcg cf bcefh acefg acgh ch egh h be bcef acgh cf cef acg bcefh f abe beh abefg abeg bf cg bcefg ace bcf cefg ef efg bf acg acfg bfh abcf bcf ef beg aceg bef bce h bch abc b² ag ceg acf abg acg b² af abh acefg abcg beh abegh abfg b² bfg eg af bcf ch bce acf abce efh bch f afh bef aceg cf cef efh abg f gh abc abf abcfg abg acf cfg acg abcefg f afg beh be e abg ce aeg f bcf g abce abeg bf e fh abceg cef bceg afg acf aceg cf befg cg agh f cef ag ceg ab cfh acg bcgh abceg aeg bc bf acf cfg bcef acfg bceg abegh abc abcg ag bf ach aeh bceh eg af abegh aefg cfh beg abefg abfg aeg h abcf aefg aceh cf bf acf eh abcfh eg bceg fh bef ceg abcgh bch abcef ef efg acfh aefg begh cf bf ach ab²c f abg bef fg bfh abf cefg aeh abceh afh f abegh abc ceg abgh acfg bceg be abceg cfh f aceh g abefg cf bcf abgh abcefg aefg cef e afg ach bh b aef bc bcg h ceg beg abf abfg aef bef abcefg abc afg beg bf ag eh abceg cef ah abcf ag bh b bg abcef abg bc be abc ceh b bcg egh bcfgh abc begh cg abcefg abeg ef cf abefg abceh abcefg bceg be aefg aceg abcfg abh bceg cfh acg cef f acef abeg be ab bcefh aefh abcf beh afg abeh abefg ab befg fgh abegh aefg abg abeh aceh abeg abefg bceh acfg efg abcefg beh fh abfg bcg abcef abcfgh efg eg abef be acg befg b b²c aefg bcefg abcef acef ach abh b bcg acefg bce bcef cef aefg acef bef b²c acefg abcg bceh agh efg abe acegh cef bcfh ceg bceh eh acg bcefg cg acef abcef aceg e bcf acegh ef cg afg ace fh bcef acfh abeg begh abef eg bef abefh ce abce bceh be abceh acfg cefh b² abfg aceg abeg ef ae abh aefg cef bef abch abeg abce h aceg efg aeg beh bcf g bch abfh eh efg bg abceg ceh beh b²c acefg aceg bfh abcefg efg cgh acefg abefg bgh abch abcef ef bef bcefg abef aceh acefg ab²c b aef afgh bh ce acfg acefg aceg afgh bf abeg bg e eg abeh acfg abeg ab²c bcef abce efg aeg ch bg abfg abefg abeg eh abceh abcegh acg ceh ace befg ae aceg cf fg ch acfg f be g bch abeg ef ach bcefg abceg be ce bf h aceg bfh gh ce abfgh acefg bch h abegh ag ef bcef bcf ace abch h ceg bceh cfh bcfg bh f abe acg aceg bcef bf abcfg abh bcfh abcegh cefg acfg bef bfgh beg afg acg bh bef acfg acefg aceg aegh bce acg bfgh abceg abg cefh abefh abeg aeh bcfg b² acg aeg bgh be abefgh aceg abcgh bcefh bef aeg abfg bch bef abefh abcfg afg cf b² ach abcefg abfg abch ah gh bcfg bh efg eg abc abfgh beh bf f abcg bcef bh ag acfg bef bch beg bcg abcfg abh bceg abcf bceh abg h bce bcfg abf abceg cefgh f befh h abch e fg ag bh abceg ab²c ah acef bc bcfgh e aef ach b² cefh befh aefg aceg bcef bce bceg ef abceg aeh h bch bef bcg e eg ag aeg bef bch h gh bcfg bcg f abh bfg abch h ceg abcef afg aefg eh abcef aeg ce bch beh b² abcfg ab² f eg abceg be cefh bce abcfg abcg cefg aeh ce acef h fg bcef ceh acefg eh abceg cfg ace bch bef begh acegh abh ach aeh bef afh acg abcg e ef cf abcf ce bg cefg fh abeg ceh g abh acg abg bef acfg abeg aceh abcgh bf abcef aeg bceh cef ace abcefg ag ef bcef ab²c bfh ceg

Monoid Structure