Details Page for 0.3346

Complete Solution is Known:

MSV File: q-0.3346.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₂(0.3346):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b³=b, b²c²=c², c⁴=c², bd=abc, c²d=ac³, cd³=cd, d⁴=d², b²e=e, c²e=e, de=ace, e³=abe², b²cf=cf, cdf=ac²f, e²f=ce², b²f²=f², c²f²=e², df²=acf², ef²=abe², f³=ce², e²g²=e², bg⁴=bg², c²g⁴=c²g², eg⁴=eg², cfg⁴=cfg², f²g⁴=f²g², g⁶=g⁴, e²h=ae²g, bgh=abe², c²gh=ae², cd²gh=cgh, d³gh=dgh, egh=be², cfgh=ae², d²fgh=fgh, f²gh=ae², fg²h=cg²h, g⁵h=g³h, bh²=be², c²h²=e², cd²h²=ch², d³h²=dh², eh²=abe², cfh²=e², d²fh²=fh², f²h²=e², fgh²=cgh², g⁴h²=g²h², d²h³=h³, fh³=ch³, g²h³=h³, h⁴=agh³, e²i=e²g, g³hi=h³, gh²i=ag²hi, h³i=gh³, bgi²=abh, c²gi²=ac²h, egi²=aeh, cfgi²=acfh, f²gi²=af²h, cd²g²i²=cg²i², d³g²i²=dg²i², d²fg²i²=fg²i², bhi²=bh, c²hi²=c²h, ehi²=eh, cfhi²=cfh, f²hi²=f²h, fg³i³=cg³i³, g⁴i³=g³h², chi³=chi, fhi³=fhi, ghi³=ghi, h²i³=h²i, bi⁴=bi², c²i⁴=c²i², ei⁴=ei², cfi⁴=cfi², f²i⁴=f²i², g²i⁴=aghi², hi⁴=hi², i⁶=i⁴, b²cj=cj, c²j=abc³, cdj=bc³, d²j=abc³, ej=abce, g⁴j=g²j, ghj=bce², h²j=abce², gi²j=ahj, hi²j=hj, i⁴j=i²j, j²=b²>

P = {a, b², c², ad, ad², ad³, abe, e², cf, c³f, abcef, f², ag, cdg, ad²g, dfg, d³fg, ag², b²g², c²g², ad²g², abeg², cfg², c³fg², abcefg², f²g², ag³, cdg³, ad²g³, dfg³, d³fg³, ag⁴, ad²g⁴, ag⁵, cdg⁵, ad²g⁵, dfg⁵, d³fg⁵, gh, d²gh, adg²h, g³h, d²g³h, adg⁴h, ah², adh², ad²h², ag²h², acdg²h², gh³, dgh³, i, di, d²i, d³i, adfi, ad³fi, bgi, c²gi, acdgi, cegi, f²gi, adfg²i, ad³fg²i, bg³i, c²g³i, acdg³i, ceg³i, f²g³i, adfg⁴i, ad³fg⁴i, acdg⁵i, abhi, ac²hi, cdhi, acehi, af²hi, dfghi, g²hi, cdg²hi, adfh²i, ai², b²i², c²i², acdi², abei², cfi², c³fi², abcefi², f²i², ag²i², acdg²i², d²g²i², dfg³i², ag⁴i², acdg⁴i², dfg⁵i², ghi², cdghi², ad²ghi², ah²i², acdh²i², i³, d²i³, adfi³, ad³fi³, acdgi³, d²gi³, adfg²i³, ag³i³, acdg³i³, ad²hi³, ai⁴, acdi⁴, i⁵, d²i⁵, adfi⁵, ad³fi⁵, acdgi⁵, d²gi⁵, abcj, abfj, abcf²j, abcg²j, abfg²j, abcf²g²j, gij, b²gij, cfgij, g³ij, b²g³ij, cfg³ij, ahij, ab²hij, acfhij, abci²j, abfi²j, abcf²i²j}

Phi = 1 a b 1 a b c ac ab a b ab a bc abc d e f g ab h i j be

Monoid Structure