Details Page for 0.7076

Complete Solution is Known:

MSV File: q-0.7076.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₄(0.7076):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, c⁴=c², c³d=cd, bc²d²=bd², b²d³=d³, c²d³=d³, d⁴=abcd³, be=abd, c³e=ce, de=ac²d², e²=b²d², c²d²f=d²f, c²df²=df², d³f²=d³, c²ef²=ef², c²f³=f³, f⁵=f³, c³g=cg, b²d²g=d²g, c²d²g=d²g, d³g=ad³f, eg=adg, c²fg=fg, b²f²g=f²g, f³g=ab²f⁴, b²g²=g², c²g²=g², df²g²=b²df², f²g³=f²g, g⁵=g³, b²h=h, c²d²h=d²h, d³h=acd³, eh=adh, c²gh=gh, ch²=b²c, d²h²=b²d², f²h²=b²f², gh²=b²c²g, h³=h, b²i=i, c²d²i=d²i, d³i=cd³, ei=adi, f²i=af²h, c²gi=gi, g⁴i=g²i, h²i=i, i²=ahi, b²d²j=d²j, c²d²j=d²j, d³j=bd³f, ej=ab²dj, bf³j=b²f⁴, d²f³j=bd²f⁴, b²gj=gj, f³hj=bf⁴h, b²j²=j², f²j²=b²f², gij²=gi, j³=b²j, b²k=k, c³k=ck, d²k=ad³, ek=adk, cdfk=ab²cd²f, c²f²k=f²k, df²k=ab²d²f², f³k=ab²df³, cdgk=acd²g, dfgk=ad²fg, dg²k=ad²g², f²g²k=f²k, c²hk=hk, dfhk=ad²fh, dghk=ad²gh, h²k=c²k, c²ik=ik, dfik=ad²fi, dgik=ad²gi, c²k²=k², dk²=d³, fk²=b²d²f³, g³k²=gk², ik²=ahk², gjk²=abg²k², j²k²=k², k³=ad³>

P = {a, b², c, ac², b²c², c³, acd, b²cd, ad², b²d², abcd³, cd²f, f², b²f², c²f², b²c²f², abcdf², b²d²f², cd²f³, f⁴, b²f⁴, abcdf⁴, b²d²f⁴, abcg, abdg, abc²dg, ab²cdfg, ad²fg, g², cdg², d²g², f²g², abcg³, abdg³, acdfg³, ad²fg³, g⁴, cdg⁴, d²g⁴, cdh, fh, c²fh, cd²fh, bdf²h, cf³h, cd²f³h, bdf⁴h, abcgh, ad²gh, af²gh, acdf²gh, cdg²h, fg²h, cd²fg²h, abcg³h, ad²g³h, cdg⁴h, fg⁴h, cd²fg⁴h, h², acdi, afi, ac²fi, acd²fi, bcgi, d²gi, acdg²i, afg²i, acd²fg²i, bcg³i, d²g³i, ahi, ac²hi, acdhi, ad²hi, bcghi, bdghi, cdfghi, d²fghi, ag²hi, acdg²hi, ad²g²hi, bcg³hi, bdg³hi, cdfg³hi, d²fg³hi, cj, b²cj, c³j, b²c³j, dj, b²dj, c²dj, b²c²dj, bd²fj, abgj, abc²gj, abcdgj, abd²gj, abf²gj, abd²f²gj, cg²j, dg²j, bd²fg²j, abg³j, abcdg³j, abd²g³j, cg⁴j, dg⁴j, bd²fg⁴j, chj, c³hj, dhj, bcd²hj, c²dfhj, bf²hj, bc³f²hj, bcd²f²hj, abfghj, abcdfghj, adf²ghj, cg²hj, bd²g²hj, bf²g²hj, abcdg³hj, abfg³hj, abcd²fg³hj, cg⁴hj, bd²g⁴hj, cdfg⁴hj, dh²j, acij, ac³ij, adij, abcd²ij, ac²dfij, bfgij, bcdfgij, acg²ij, abd²g²ij, bcdg³ij, bfg³ij, bcd²fg³ij, achij, ac³hij, adhij, ac²dhij, abd²fhij, bghij, bcdghij, bd²ghij, acg²hij, adg²hij, abd²fg²hij, bg³hij, bcdg³hij, bd²g³hij, j², c²j², cdj², d²j², abcgj², abdgj², abc²dgj², acdfgj², ad²fgj², g²j², cdg²j², d²g²j², abcg³j², abdg³j², acdfg³j², ad²fg³j², g⁴j², cdg⁴j², d²g⁴j², fhj², c²fhj², cdfhj², abcghj², ad²ghj², cdg²hj², fg²hj², cd²fg²hj², abcg³hj², ad²g³hj², fg⁴hj², cdfg⁴hj², h²j², afij², ac²fij², acdfij², ahij², ac²hij², acdhij², ad²hij², ack, adk, ac²dk, bcf²k, bgk, bc²gk, cfgk, acg²k, bg³k, cfg³k, acg⁴k, achk, abf²hk, cf²ghk, acg²hk, acg⁴hk, cik, cg²ik, chik, dhik, abghik, acfghik, cg²hik, abg³hik, acfg³hik, ajk, ac²jk, bdfjk, bcgjk, ag²jk, bcg³jk, ag⁴jk, ahjk, bcdhjk, bcfghjk, f²ghjk, bcg³hjk, acfg⁴hjk, ijk, abcdijk, abcfgijk, abcg³ijk, abcghijk, g²hijk, abcg³hijk, acj²k, adj²k, ac²dj²k, bgj²k, bc²gj²k, cfgj²k, acg²j²k, bg³j²k, cfg³j²k, acg⁴j²k, acfhj²k, acg²hj²k, acfg⁴hj²k, cfij²k, chij²k, dhij²k, k², g²k², aghk², abchjk²}

Phi = 1 a 1 a 1 b ab b ab bd abd bd c ab² d e b ab b f g h i j k

Monoid Structure