Details Page for 0.7361

Complete Solution is Known:

MSV File: q-0.7361.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₃(0.7361):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁷=b⁵, b⁴c²=b⁴, bc³=bc, c⁴=c², b²d=ab², bd³=abd², d⁵=ad⁴, be=b, de=d, e³=e², b²f=ab³, c³f=cf, bdf=b², d²f=bd, ef=f, bf²=b³, f³=ab³, b³g=ab⁵, b²c²g=b²g, c³g=cg, bc²d²g=bd²g, cdfg=bcg, df²g=bfg, bg²=b⁵, c²g²=g², dg²=ab⁶, eg²=g², fg²=ab⁵, g³=ab⁶, b³h=b³, bch=bcd², bdh=abh, d³h=ad²h, bfh=ab²h, cfh=bcd, dfh=bh, f²h=b²h, bgh=bd²g, cdgh=cd³g, ce²gh=cd²g, fgh=bdg, g²h=b⁶, b²h²=b²h, c³h²=ch², dh²=ah², eh²=h², fh²=abh², gh²=c²d⁴g, bh³=bh², h⁴=h³, b³i=b²g, bdi=abi, c²di=ac²i, d³i=ad²i, ei=i, bfi=ab²i, cfi=abci, dfi=bi, b²gi=b⁵, c²gi=gi, dgi=agi, fgi=abgi, g²i=ab⁵, b²hi=b²c²i, c²hi=c²i, d²hi=adhi, fhi=abhi, ghi=gi, h²i=c²i, i²=b⁶, b²j=b³, c³d²j=cd²j, ej=j, bfj=ab³, dfj=bj, f²j=b³, bgj=f²g, cdgj=cfg, d³gj=bc²dg, g²j=b⁵, hj=d²j, bij=b²c²i, c³ij=cij, cdij=acij, d²ij=c²ij, fij=ab²c²i, gij=bgi, c²j²=j², bdj²=abj², fj²=abj², dgj²=c²fgj, dij²=aij², bj³=b⁶, dj³=aj³, gj³=ab⁵, j⁴=b⁶, b⁵k=ab⁵, c³d²k=cd²k, ek=k, dfk=bk, b²hk=b²k, c³hk=chk, cghk=cd²gk, bc²ik=bik, c³ik=cik, cdik=acik, d²ik=c²ik, f²ik=b²ik, gik=agi, hik=c²ik, ij³k=ab²g, b²k²=b⁶, c²k²=k², dk²=ak², fk²=abk², g²k²=b⁶, hk²=k², bjk²=b⁶, gjk²=bgk², bk³=abk², gk³=agk², jk³=abk², k⁴=ak³>

P = {a, b², b⁴, b⁶, c², b²c², acd, ac³d, d², c²d², ad³, ac²d³, d⁴, c²d⁴, e, c²e, e², c²e², af, abcf, f², c²f², adf², ac²df², abg, b²cg, ac²g, c²dg, ad²g, ac²d²g, d³g, c²d³g, ad⁴g, ac²d⁴g, ac²eg, ac²e²g, af²g, ac²f²g, g², h, b²h, c²h, adh, ac²dh, d²h, c²d²h, eh, c²eh, e²h, c²e²h, acgh, dgh, ad²gh, h², c²h², h³, c²h³, ai, ab²i, abc²i, di, acd²i, abcgi, ahi, cdhi, bj, bc²j, abdj, abc²dj, bd²j, bc²d²j, afj, ac²fj, fgj, c²fgj, ac²ij, dij, j², adj², d²j², ad³j², d⁴j², agj², cij³, abk, ab³k, ab⁴ck, ac²k, ab²c²k, bdk, c²dk, abd²k, ac²d²k, c²d³k, ac²d⁴k, fk, bc²fk, ac²f²k, c²gk, ac²dgk, c²d²gk, ac²d³gk, c²d⁴gk, afgk, abc²fgk, c²f²gk, acg²k, abhk, ac²hk, c²dhk, ac²d²hk, fhk, ach²k, ah³k, ac²h³k, bik, ajk, abc²jk, cdjk, bc²djk, abc²d²jk, c²fjk, gjk, adgjk, ac²fgjk, c²ijk, aj²k, dj²k, ad²j²k, d³j²k, ad⁴j²k, gj²k, k², agk², abik², aijk², j²k², ak³}

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

Monoid Structure