Details Page for 0.7167

Complete Solution is Known:

MSV File: q-0.7167.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₈(0.7167):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c²=c², c³=bc², b²cd=cd, c²d=ac², b²d²=d², cd²=bc², d³=ad², cde=abc²e, d²e=ab²de, e²=d², b²f=f, c²ef=bcef, def=aef, c²f²=c², d²f²=c², ef²=c²e, f⁴=f², c²g=c²f, b²dg=dg, cefg=bc²e, f²g=c²f, d²g²=d², beg²=be, ceg²=ce, deg²=b²de, efg²=ef, eg³=eg, g⁴=g², b²h=h, c²h=ac², d²h=ad², eh=b²de, f²h=ac², h²=d², c²i=cef, d²i=bef, bdei=ad²f, dfi=abc²e, efi=bc², f²i=cef, degi=abd²fg, fg²i=fi, g³i=gi, fhi=abc²e, cdghi=cfi, b²di²=di², bei²=fi, dei²=ac²e, cfi²=cdfg²h, cdgi²=cdfg², eg²i²=ei², chi²=cfg³h, dhi²=fgi², g²hi²=hi², fi³=bc²e, dgi³=abc²e, hi³=acef, b²i⁴=i⁴, ei⁴=c²e, gi⁴=c²f, i⁵=cef, b²cj=cj, c²j=acef, d²j=abef, bej=ad²f, cej=ac²f, fj=abc²e, b²gj=gj, cgj=cghi, egj=abd²fg, dg³j=dgj, dghj=abefg, g²hj=bef, gij=ghi², b²i²j=i²j, ei²j=abc²f, hi²j=cef, i³j=ai⁴, gj²=c²f, i²j²=c², deij³=deij, hij³=hij, j⁴=j², ck=abc²e, d²k=ab²dk, bdek=abek, f²k=ac²e, b²gk=gk, degk=aegk, dg²k=b²dk, eg²k=b²ek, dhk=ab²dk, bdik=aefk, beik=adfk, fik=abc², dgik=abefgk, egik=abdfgk, g²ik=b²ik, hik=abefk, i²k=acfi, bjk=aefk, gjk=abefgk, hjk=befk, dij³k=dijk, k²=c²>

P = {a, b², bc, c², abd, d², bdf, f², bcf², abdf², bdf³, dg, acdg, bcfg, befg, g², b²g², bcg², abdg², dg³, acdg³, bcfg³, ah, abch, bcdh, bdgh, abcfgh, bcdfgh, ag²h, abcg²h, bdg²h, bdg³h, cdg³h, abcfg³h, di, b²di, gi, b²gi, abdgi, cegi, b²cegi, dg²i, aghi, i², b²i², bci², abdi², dgi², bfgi², g²i², b²g²i², bcg²i², abdg²i², ahi², di³, gi³, acgi³, b²cgi³, cegi³, i⁴, bci⁴, abdi⁴, bcdj, agj, bdgj, ag³j, adhj, bghj, aij, ab²ij, bdij, bhij, abdhij, j², b²j², bcj², adj², ab²dj², ahj², abchj², bdhj², bcdj³, adhj³, abcdhj³, aij³, ab²ij³, dij³, b²dij³, aek, ab²ek, dek, abfgk, abfg³k, bfg³hk, adijk, eijk, dj²k, aej²k, ij³k}

Phi = 1 a be a be abe b ab c d e aeg² f be g h i j k

Monoid Structure