Details Page for 0.1525

Complete Solution is Known:

MSV File: q-0.1525.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₂(0.1525):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b⁴=b², b²c²=b², bc⁴=bc², c⁵=c³, b²d=ab², bcd=abc³, c²d=ac⁴, cd²=c³, d³=ad², be=abd², ce=ac³, d²e=ade, e²=d², b²f=b³c, bcf=b², c³f=bc², bdf=abf, cdf=abc², def=d²f, bf²=b³, cf²=b²c, d²f²=b², ef²=ab², f⁴=f², b²g=ab³, cdg=ac³g, bd²g=abdg, deg=aeg, cfg=bc²g, d²fg=adfg, efg=dfg, f²g=ab³, bc²g²=b³, c⁴g²=c²g², bdg²=ab³, eg²=ad²g², bfg²=b²c, dfg²=bfg, bg³=ab², cg³=abcg², d²g³=ab³, fg³=ab²c, g⁴=b², b²h=ab³, bch=ab²c, c²h=abc², bdh=b², d²h=abd², eh=bd², bfh=ab³c, dfh=bf, f²h=ab³, fgh=abfg, bg²h=cfh, cg²h=ab³c, g³h=acfh, dh²=bh, cfh²=dg²h, cgh²=ab³c, bh³=bh, g²h³=g²h, h⁴=h², b²i=b²c, c³i=ci, cdi=aci, d²i=c²i, ei=ac²i, bfi=b², cfi=bc²i, dfi=abci, f²i=b²c, bdgi=abc²gi, fgi=bcgi, bg²i=bcg², dg³i=bcg², bhi=ab²c, chi=abci, dhi=abdi, fhi=cfh, ghi=abc²gi, h²i=ch², bi²=b³, c²i²=i², di²=ai², fi²=b³c, gi²=abci, hi²=ab³, i³=b²c, bj=bc³, c²j=c³, dj=ac³, ej=ac³, cfj=bc³, f²j=b²c, cgj=c²g, fgj=bc²g, g²j=c³g², chj=abc², gh²j=ab³c, fh³j=fhj, ij=ci, j²=c⁴, bk=abc³, c²k=ac³, dk=c³, ek=c³, fk=abc², cg²k=ac²g², g³k=b³c, cghk=bc²g, g²hk=b³c, h²k=fh³, cik=ac²i, g²ik=acg²i, hik=fi, i²k=aci², cjk=ac³, gjk=ac⁴g, hjk=fj, k²=c⁴, b²l=ab³c, cl=abc², bdl=abl, del=ael, efl=ad²fl, d²gl=adgl, dfgl=afgl, bg²l=ab²c, dg²l=bgl, fg²l=abfgl, g³l=b²c, bhl=b³c, dhl=bl, ghl=abgl, h²l=h³j, il=abci, jl=abc², kl=fj, l²=af³l, b²m=b³c, bc²m=b²c, c³m=bc², bd²m=b²c, dem=d²m, bfm=b³, efm=dfm, f²m=b³c, bdgm=b³c, egm=ad²gm, fgm=bcgm, c²g²m=b³c, d²g²m=b³c, bhm=ab³c, fhm=ab³, ghm=b³c, h²m=fh², cim=bc²i, bdim=ac²fm, fim=b²c, bgim=bcgm, dg²im=bcgm, i²m=b³c, fjm=b²c, hjm=fhj, cgkm=aghk, g²km=ab³, hkm=cdhm, ikm=abc²i, jkm=abc³, blm=ab³, d²lm=ad²fm, elm=d²fm, flm=ab³c, glm=abcgm, hlm=fh²j, m²=b², bn=b²c, cn=bc², en=ad²n, d²fn=b², gn=bcg, hn=ab²c, in=bci, jn=bc², kn=abc², dln=adfn, fln=af²n, dmn=ad²fm, fmn=b³c, lmn=ab³c, n²=b², f²o=b²o, cdho=c²fo, ghjo=cgho, d²lo=adlo, d²fmo=bfglo, himo=chmo, dlmo=bfglo, d²no=adno, fno=b²o, lno=ab²o, b²o²=b², bc²o²=bc², c³o²=c³, efo²=dfo², c²g²o²=c²g², cfho²=fhj, cgho²=ghj, dg²ho²=fh²j, ch²o²=h²j, cio²=ci, i²o²=i², fjo²=fj, hjo²=hj, chko²=fj, jko²=jk, bfglo²=d²fm, d²mo²=d²m, dno²=ad²n, bd²o³=bd²o, bfo³=bfo, d²fo³=d²fo, bcgo³=bcgo, bdgo³=bdgo, fgo³=fgo, cg²o³=cg²o, d²g²o³=d²g²o, dg³o³=dg³o, bgio³=bgio, dgio³=dgio, g²io³=g²io, cko³=jko, g²ko³=ac³g²o, ghko³=bc³go, blo³=blo, flo³=flo, g²lo³=g²lo, hlo³=hlo, bgmo³=bgmo, dgmo³=dgmo, g²mo³=g²mo, kmo³=cdmo³, no³=no, c²o⁴=c², d²o⁴=d²o², deo⁴=deo², bgo⁴=bgo², dgo⁴=dgo², ego⁴=ego², g³o⁴=g³o², bho⁴=bho², fho⁴=fho², bdio⁴=bdi, fio⁴=fio², gjo⁴=gj, gko⁴=ac³g, dlo⁴=dlo², elo⁴=elo², glo⁴=glo², bdmo⁴=bdm, emo⁴=em, cfmo⁴=cfm, dfmo⁴=dfm, jmo⁴=jm, bco⁵=bco, bdo⁵=bdo, cdo⁵=cdo, dfo⁵=efo, g²o⁵=g²o³, gho⁵=gho³, h²o⁵=h²o³, bio⁵=bio, dio⁵=dio, jo⁵=jo, bmo⁵=bmo, dmo⁵=dmo, fmo⁵=fmo, gimo⁵=gimo, lmo⁵=lmo, bo⁶=bo², do⁶=do², eo⁶=eo², fo⁶=fo², cho⁶=cho², hio⁶=hio², iko⁶=iko⁴, lo⁶=lo², hmo⁶=hmo², imo⁶=imo², co⁷=co³, ho⁷=ho³, mo⁷=mo³, o⁸=o⁴>

P = {a, b², c², c⁴, d², ae, de, df, f², df³, ag, abcg, abc³g, dfg, cg², c³g², ah, acfh, cgh, ah², agh², ah³, agh³, ci, ag²i, ac²g²i, dg²i, i², aj, ahj, ah³j, ack, ag²k, aik, al, ad²l, el, dfl, af³l, df³l, bfgl, bm, ac²m, ad²m, adfm, ac²gm, bcg²m, cdhm, abim, gim, ag³im, him, gkm, dlm, an, adfn, af³n, aln, afo, ad²fo, efo, dgo, ad²go, ego, abgho, g²ho, abh²o, gh²o, cgio, afh²jo, agko, ahko, aglo, dglo, eglo, afhlo, mo, gmo, adgmo, d²gmo, o², c²o², ado², d²o², aeo², deo², abcgo², afgo², dfgo², cg²o², acho², ag²ho², h²o², ag²h²o², ag²io², dg²io², ahio², cjo², alo², dlo², elo², fglo², amo², bcmo², dmo², emo², c²fmo², acgmo², bg²mo², ag³mo², bimo², g³imo², agjmo², gkmo², lmo², afo³, dfo³, ago³, dgo³, ad²go³, ego³, abg²o³, g³o³, abgho³, g²ho³, abh²o³, gh²o³, agko³, ahko³, glo³, adglo³, eglo³, acmo³, aimo³, ajmo³, o⁴, ado⁴, aeo⁴, acho⁴, h²o⁴, ag²h²o⁴, ahio⁴, cjo⁴, alo⁴, bmo⁴, chmo⁴, abimo⁴, gimo⁴, afo⁵, ago⁵, ahko⁵, mo⁵, aimo⁵, o⁶, amo⁶, acgmo⁶, ago⁷}

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

Monoid Structure