Details Page for 0.2014

Complete Solution is Known:

MSV File: q-0.2014.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₂(0.2014):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b⁴=b², b²c=b³, bc³=bc, c⁴=c², b²d=b³, bcd=b³, cd²=b³, bd³=bd, d⁴=d², b²e=ab³, bce=ab³, bde=ab³, cde=ab³, e²=abe, b²f=b³, bc²f=bf, c³f=cf, bdf=b³, d²f=b³, bef=ab³, def=ab³, f²=b², bg=ab², c²g=g, dg=ab², eg=b², g²=b², b²h=ab², bdh=ab², cdh=adf, d²h=abd, ceh=aef, deh=beh, bfh=ab², c²fh=fh, dfh=ab², efh=b², gh=acfg, h²=b², bi=ad³e, ci=bf, d³i=di, ei=abeh, fi=b², gi=ab², hi=d²e, i²=b², b²j=ab³, bcj=ab³, dj=be, ej=abe, bfj=ab³, gj=b², chj=afj, fhj=b², ij=abeh, j²=abe, b²k²=b², bck²=bc, dk²=d, ek²=e, bfk²=bf, fhk²=fh, ik²=i, cjk²=cj, fjk²=fj, bk³=bk, fk³=fk, gk³=gk, hk³=hk, jk³=jk, k⁴=k², b²l=ab², bdl=abd, d²l=ad², bel=abe, c²el=c²d, del=ade, bfl=bch, cdfl=abcf, efl=df, chl=afl, fhl=b³, dil=adi, cjl=ace, fjl=aef, bcl²=abcl, c²dl²=abc²l, il²=ail, dl³=adl², fgkl³=acfhk, el⁴=ael³, gkl⁴=fhk, fl⁵=afl⁴, bjkl⁵=abek, hjkl⁵=ehkl³, l⁶=al⁵, bm=ab², c²m=m, dm=ab², em=b², fm=ab², gm=b², hm=afh, im=ab², jm=b², k³m=km, lm=cfgl, m²=b², bn=b³k, dn=b³k, en=ab³k, fn=b³k, gn=ab³k, c²hn=hn, in=b³k, jn=ab³k, kn=b², c²ln=hn, hln=b²k, l³n=al²n, mn=ab³k, n²=b², b²o=b², bc²o=bo, c³o=co, bdo=b², d²o=bd, beo=ab², c²eo=eo, deo=ab², c²fo=fo, c²ho=ho, dho=acdfo, eho=acefo, dio=ad³e, bjo=ab², c²jo=jo, hjo=acfjo, bk²o=bo, jk²o=jo, elo=c²do, dflo=abfo, hlo=acflo, jlo=aeo, bl²o=ablo, cdl²o=abclo, c²no=no, lno=hno, o²=b², bp=abeh, cdp=ab³, d²p=abd², cep=b³, dep=b³, fp=fj, gp=b², chp=afj, dhp=beh, ehp=abeh, ip=d³e, jp=ep, ck²p=cp, hk²p=hp, k³p=kp, dlp=adp, elp=aep, l⁵p=al⁴p, mp=b², np=ab³k, c²op=op, dop=ab², eop=b², hop=acfjo, k²op=op, p²=ep>

P = {a, b², c, ac², c³, ad, cd, c³d, ad², ad³, be, ace, ac³e, de, bf, df, c²df, aef, ac²ef, cg, ach, ac³h, ai, ad²i, j, acj, ac³j, afj, ac²fj, bhj, ak, adk, ek, hk, dhk, aehk, aik, jk, ahjk, ak², ck², ac²k², c³k², cgk², achk², ac³hk², jk², bhjk², ak³, l, bcl, c²l, dl, cel, adfl, acgl, il, ajl, abhjl, kl, dkl, aekl, ahkl, adhkl, ehkl, ikl, ajkl, hjkl, k²l, c²k²l, acgk²l, ajk²l, abhjk²l, k³l, al², ac²l², adl², acel², dfl², cgl², jl², bhjl², akl², adkl², ekl², hkl², dhkl², aehkl², jkl², ahjkl², ak²l², ac²k²l², cgk²l², jk²l², bhjk²l², ak³l², l³, c²l³, cel³, acgl³, ajl³, abhjl³, kl³, aekl³, ahkl³, ehkl³, ajkl³, hjkl³, k²l³, c²k²l³, acgk²l³, ajk²l³, abhjk²l³, k³l³, al⁴, ac²l⁴, cgl⁴, jl⁴, bhjl⁴, akl⁴, ac²fkl⁴, hkl⁴, jkl⁴, ahjkl⁴, ak²l⁴, cfk²l⁴, jk²l⁴, bhjk²l⁴, ak³l⁴, ac³k³l⁴, l⁵, c²l⁵, acgl⁵, ajl⁵, abhjl⁵, kl⁵, ahkl⁵, ajkl⁵, k²l⁵, ac²k²l⁵, k³l⁵, c³k³l⁵, acn, ac³n, chn, cln, acl²n, ao, co, ac²o, cdo, aceo, bfo, dfo, aefo, cgo, acho, acjo, afjo, ak²o, ck²o, ac²k²o, cgk²o, achk²o, lo, bclo, c²lo, acglo, k²lo, c²k²lo, acgk²lo, al²o, ac²l²o, cgl²o, ak²l²o, ac²k²l²o, cgk²l²o, l³o, c²l³o, acgl³o, k²l³o, c²k²l³o, acgk²l³o, al⁴o, ac²l⁴o, cgl⁴o, afkl⁴o, cfk²l⁴o, ack³l⁴o, l⁵o, c²l⁵o, acgl⁵o, ac²k²l⁵o, ck³l⁵o, acno, chno, p, acp, ac³p, kp, ahkp, k²p, alp, clp, c³lp, aklp, hklp, ak²lp, l²p, acl²p, ac³l²p, kl²p, ahkl²p, k²l²p, al³p, cl³p, akl³p, hkl³p, ak²l³p, l⁴p, acl⁴p, kl⁴p, ahkl⁴p, acop, clop, acl²op}

Phi = 1 1 a b b² ab² c 1 a d e ab² f g h i j k l m n o p

Monoid Structure