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 Q₄₁₃(0.1726):

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 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

Monoid Structure