Details Page for 0.3771

Complete Solution is Known:

MSV File: q-0.3771.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₃(0.3771):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c³=c³, c⁵=c³, b²cd=cd, c³d=ac⁴, c²d²=b²c², d³=d, be=ab, c³e=ac³, cde=acd, e²=b², b²cf=cf, c³f=ac⁴, b²df=df, ef=ab²f, b²f²=f², cf²=ac²f, d²f²=f², f³=c²f, b²g=g, c³g=c⁴, eg=ag, cd²fg=cfg, cd²g²=cg², d²fg²=fg², f²g²=acfg², cg⁴=cg², g⁵=g³, b²c²h=c²h, b²dh=dh, cd²h=b²ch, eh=ab²h, b²fh=fh, f²h=acfh, d²fgh=fgh, g⁴h=g²h, b²h²=h², c⁴h²=c²h², c²dh²=ac³h², c²fh²=ac³h², d²fh²=fh², c²gh²=c³h², d²h³=h³, cfh³=ac²h³, cg²h³=ch³, fg²h³=ach³, h⁴=bc²h³, b²c²i=c²i, b²di=di, c²ei=ac²i, dei=adi, b²fi=fi, cd²fi=cfi, cd²gi=cgi, d²fgi=fgi, b²chi=chi, d²fhi=fhi, c²h³i=bc³h³, b²i²=i², c⁴i²=c²i², c²di²=ac³i², cd²i²=ci², ei²=ai², c²fi²=ac³i², d²fi²=fi², f²i²=acfi², c²gi²=c³i², fh²i²=ach²i², cg³h²i²=cgh²i², ch³i²=c³h³, g²h³i²=c²h³, cfi³=ac²i³, cg³i³=cgi³, g⁴i³=g²i³, fg³hi³=fghi³, ci⁴=acfgi², d²i⁴=i⁴, fi⁴=ac³i², g³i⁴=gi⁴, h²i⁴=c²h²i², hi⁵=c²hi³, i⁶=c²i²>

P = {a, b², c², b²c², c⁴, ad, bcd, ad², b²d², ce, af, bcf, abdf, c²df, acd²f, f², abcg, dg, ac²dg, bcd²g, ac²fg, abd²fg, g², c²g², bcdg², d²g², acfg², abdfg², c²dfg², bcg³, dg³, ac²dg³, abfg³, ac²fg³, g⁴, d²g⁴, abdfg⁴, b²ch, abc³h, bdh, bc²dh, bfh, bc²fh, cdfh, ad²fh, abc²gh, bd²gh, cdfgh, cg²h, bdg²h, bc²dg²h, afg²h, bc²fg²h, cdfg²h, bg³h, abc²g³h, bd²g³h, cdfg³h, h², c²h², acdh², d²h², acfh², dfh², g²h², acdg²h², d²g²h², acfg²h², dfg²h², bh³, bc²h³, abcdh³, bdfh³, bcgh³, abdgh³, abfgh³, bg²h³, abdg³h³, ci, ab²ci, bc³i, abc²di, abfi, abc²fi, bcdfi, abdf²i, bgi, bc²gi, cdgi, abcfgi, dfgi, bc²dfgi, abc²dg²i, abc²fg²i, bcdfg²i, cg³i, afg³i, bc²dfg³i, ab²hi, ac²hi, ac⁴hi, abcdhi, cfhi, bdfhi, ac²dfhi, bcghi, c²dghi, c²fghi, bdfghi, ac²g²hi, abcdg²hi, abfg²hi, ac²dfg²hi, g³hi, c²dg³hi, d²g³hi, abcfg³hi, bc³h²i, abdh²i, abfh²i, bcdfh²i, bgh²i, cdgh²i, bd²gh²i, abcfgh²i, abdg²h²i, bcdfg²h²i, bg³h²i, cdg³h²i, bd²g³h²i, adfg³h²i, ch³i, adh³i, afh³i, dfgh³i, adg²h³i, i², c²i², acdi², d²i², acfi², cgi², bfgi², cdfgi², g²i², acdg²i², d²g²i², acfg²i², adg³i², cdfg³i², g⁴i², d²g⁴i², dfg⁴i², abchi², abc³hi², adhi², abcdfhi², adghi², bcfghi², cg²hi², afg²hi², abcdfg²hi², abdg³hi², h²i², c²h²i², acdh²i², d²h²i², g²h²i², acdg²h²i², d²g²h²i², bh³i², abdgh³i², bi³, bc²i³, abcdi³, bd²i³, bdfi³, bcgi³, abdgi³, bg²i³, abcdg²i³, bd²g²i³, bdfg²i³, abfg³i³, achi³, ac³hi³, fhi³, aghi³, cdghi³, ad²ghi³, adfghi³, g³hi³, ad²g³hi³, abdh²i³, abgh²i³, abd²gh²i³, bcg²h²i³, abdg²h²i³, bg³h²i³, adh³i³, i⁴, adgi⁴, g²i⁴, bdhi⁴, bg²hi⁴, bi⁵, abdgi⁵}

Phi = 1 a b ab c a d ab b e f g h i

Monoid Structure