Details Page for 0.5276

Complete Solution is Known:

MSV File: q-0.5276.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅(0.5276):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b⁴=b², b²c²=b², bc³=bc, c⁴=c², b²d=b³c, bcd=b², c²d=bc, cd³=b³, bd⁴=b³, d⁶=d⁴, b²e=ab², ce=ac, be²=cd, d³e²=b³c, e³=ae², b²f=ab², bcf=abc, cdf=abc², bd³f=ab²c, d⁵f=d³f, bef=bc², d⁴ef=d²ef, de²f=abc, bf²=bc², cf²=c³, d²f²=b², ef²=ac², f³=c²f, b²g=ab³, d³g=bd³e, beg=acdg, e²g=aeg, cfg=ac³g, efg=c²g, bg²=b³, cg²=b²c, dg²=acd²g, eg²=ag², fg²=ab², g³=ab³, bh=b², ch=bc, d³h=abd³e, eh=acd, dfh=bd³e, f²h=bc², d²gh=abd²fg, fgh=abc²g, g²h=b³, h²=b², b²i=ab²c, bci=abc², d⁴i=ab²c, bd²ei=bdfg, d³ei=d²fg, bdfi=bd²fg, d²fi=b²c, defi=abc², e²fi=aefi, f²i=c²i, c²gi=ac³g, bdgi=b³, cdgi=bgi, d²gi=bdfg, fgi=c³g, g²i=ab²c, fhi=bfi, ghi=bgi, cdi²=bi², bd²i²=b³, d³i²=b³c, bei²=abi², bfi²=abc², c²fi²=ac²i², dfi²=abc, efi²=afi², egi²=agi², hi²=bi², c²i³=ac³i², bdi³=cd²i, d²i³=d²e²i, ei³=ai³, gi³=aegi, i⁴=e²i², bj=abc, cj=c²f, dj=acd, ej=aj, f²j=c³f, gj=acg, hj=abc, i²j=aci², j²=c², b²k=ab³c, cdk=bk, bd²k=ab²c, d⁴k=ab³c, bek=abk, d³ek=bd²fg, bfk=abc²k, c³fk=cfk, d²fk=b³c, efk=ac²fk, bcgk=b³, c²gk=abc²k, egk=agk, fgk=bc²k, hk=bk, bdik=b³c, d²ik=b³, eik=aik, c²fik=fik, dfik=bc²k, gik=bck, fi²k=ac²i²k, fjk=c³k, bk²=b³, c²k²=b², dk²=b³c, ek²=ak², fk²=ab², gk²=ab³, ik²=ad²gk, jk²=ack², k³=ab³c, bl=abi²k, cdl=abi²k, d²l=b³c, del=di²k, c³fl=cfl, dfl=adfk, efl=ac²fl, gl=bi²k, hl=abi²k, dil=adi³k, eil=ail, c²fil=fil, fi²l=ac²i²l, fjl=c³l, dkl=ab³c, ekl=akl, c²fkl=fkl, f²kl=c²kl, c³ikl=cikl, i²kl=bgi², jkl=cfkl, k²l=b³c, l²=b²>

P = {a, b², c², d², d⁴, de, d³e, d⁵e, e², d²e², af, ac²f, ad²f, ad⁴f, ae²f, f², ag, abcg, ad²g, deg, fg, d²fg, g², bi, ac³i, cdi, bd²i, abei, c³fi, hi, d²hi, i², c²i², d²i², aei², e²i², d²e²i², afi², adgi², bi³, adk, ad³k, dfk, adf²k, abgk, cik, bi³k, aijk, k², dl, el, ackl, c³kl, cfkl, afikl}

Phi = 1 a 1 b b c c d e f g h i j k l

Monoid Structure