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 Q₁₇(0.7167):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b³=b, b²c²=c², c³=bc², b²d=d, c²d=ac², cd²=bc², d³=ad², cde=abc²e, d²e=ade, e²=d², b²f=f, c²ef=bcef, def=aef, c²f²=c², d²f²=c², ef²=c²e, f⁴=f², c²g=c²f, cefg=bc²e, f²g=c²f, d²g²=d², eg²=e, g⁴=g², b²h=h, c²h=ac², d²h=ad², eh=de, f²h=ac², h²=d², c²i=cef, d²i=bef, dei=abd²f, dfi=abc²e, efi=bc², f²i=cef, fg²i=fi, g³i=gi, fhi=abc²e, cdghi=cfi, bei²=fi, cfi²=cdfg²h, cdgi²=cdfg², chi²=cfg³h, dhi²=fgi², g²hi²=hi², fi³=bc²e, dgi³=abc²e, hi³=acef, b²i⁴=i⁴, ei⁴=c²e, gi⁴=c²f, i⁵=cef, b²j=j, c²j=acef, d²j=abef, ej=abd²f, fj=abc²e, cgj=cghi, dg³j=dgj, dghj=abefg, g²hj=bef, gij=ghi², hi²j=cef, i³j=ai⁴, gj²=c²f, i²j²=c², hij³=hij, j⁴=j²>

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, 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, bdij, bhij, abdhij, j², bcj², adj², ahj², abchj², bdhj², bcdj³, adhj³, abcdhj³, aij³, dij³}

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

Monoid Structure