Details Page for 0.1062

Complete Solution is Known:

MSV File: q-0.1062.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₅(0.1062):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b⁵=b³, bc²=b³, c³=b⁴c, b³d=b⁴c, bcd=b⁴, b²d²=b⁴, c²d²=b⁴, bd⁴=cd³, cd⁴=bd³, d⁶=d⁴, b²e=ab⁴, c²e=ab⁴, cde=ab³, bd²e=ab³, d⁵e=d³e, e²=b⁴, bf=ab, cf=ac, df=ad, ef=ae, f²=af, b³g=ab⁴, b²cg=ab²d, c²g=ab³, b²dg=bde, bd²g=d²e, cd³g=d⁴e, bdeg=b³c, d²eg=cd³, cd²g²=bdg², d³g²=d⁵, bceg²=ab²d, deg²=cd²g, b²g³=ab³, bdg³=d³e, cdg³=d⁴e, d²g³=d⁴g, fg³=ag³, bg⁴=cd³, dg⁴=d⁵, ceg⁴=bde, eg⁵=cd³, g⁷=g⁵, b³h=b³c, bch=b³, c²h=b⁴c, bdh=b⁴, cdh=b³c, d²h=cd², ceh=ab⁴, deh=ab³, b²gh=ab²d, cgh=ab³, dgh=cdg, begh=b⁴c, fgh=agh, bg²h=ceg³, eg⁴h=ab⁴c, g⁶h=g⁴h, h²=b⁴, b²i=b²d, d²i=b²d, bcei=ab⁴, dei=ac²di, fi=ai, bcgi=abdi, bdgi=ac²di, cdgi=ab²d, begi=b³c, ceg²i=abdi, bg³i=ab³c, dg³i=ab³, cg⁴i=b³, eg⁴i=ab³c, g⁶i=g⁴i, chi=c²d, dhi=b²h, bghi=abdi, eghi=abehi, g³hi=ab⁴, c²i²=b⁴, bdi²=b⁴c, cdi²=b³, bgi²=ac²di, dgi²=bde, cegi²=bci², g²i²=b⁴, bhi²=acgi², ghi²=cgi², bci³=c²di, di³=c²di, cgi³=cg³i, i⁴=b⁴, b²j=b⁴, bcj=abce, c²j=b⁴, bdj=abde, cdj=b³, d²j=ad⁴e, ej=abeg, fj=aj, dgj=adeg, bg²j=abeg², g³j=aeg³, chj=b⁴, dhj=b³, bghj=bde, g²hj=aeg²h, bij=abei, dij=c²di, gij=aegi, i²j=aei², j²=beg, b²k=ab⁴, bck=ab³c, c²k=ab⁴, bdk=bde, cdk=ab³, d³k=ab³c, bek=b³, cek=b⁴c, dek=eg³h, fk=ak, bgk=b⁴, dgk=abde, egk=ab³, g²k=ab²g², hk=ab²c, bik=ab⁴c, cik=ab³, dik=ac²di, eik=b³c, gik=abde, i²k=ac²di, jk=aek, k²=b⁴, b³l=ab³c, c²l=ab⁴c, b²dl=abdi, bd²l=ab²d, cd²l=b²cl, d³l=abd², bdel=c²di, d²el=abde, degl=bcegl, b²g²l=aegi³, bdg²l=ac²di, eg⁴l=abeg³l, chl=ab⁴c, dhl=cdl, ehl=ab²cl, g⁴hl=cg⁶l, bcil=bde, bdil=ab³c, cdil=b²hl, beil=abehi, ceil=c²d, bgil=aceg³l, dgil=b²gl, egil=bcegl, g³il=acg⁴l, bhil=bde, ghil=cgil, bi²l=cgi², ci²l=cg³i, di²l=abdi, hi²l=ab⁴, gi³l=c²di, bhjl=abdi, cijl=ac²d, hijl=ab³c, bkl=c²i, ckl=ab²cl, d²kl=abde, ekl=ab⁴c, gkl=ab²gl, ikl=bdi, b²l²=b²g², bcl²=ceg³, cel²=bde, del²=cg²il, bdgl²=cg²il, cdgl²=ac²di, d²gl²=ag²hi, egl²=b³, fgl²=agl², g²l²=b⁴, hl²=cl², bil²=bg²i, cil²=g²hi, dil²=dg²i, eil²=ab³c, gil²=ab⁴c, i²l²=b⁴, bjl²=abel², cjl²=abde, djl²=b³c, gjl²=ab³, ijl²=b³c, kl²=bgl², bdl³=ac²di, bel³=eg³h, bgl³=egi³, jl³=ael³, l⁴=b⁴, bm=beg²l, c²m=b⁴c, dm=bd², em=ab⁴c, fm=am, cgm=ceg³l, g⁴m=bd³, hm=b⁴, cim=bci², gim=ac²di, i³m=b³, jm=eg³i, km=ab⁴c, clm=ab⁴c, glm=abk, ilm=ab³c, l³m=ab⁴, m²=b⁴, b²n=ab³, bcn=ab⁴c, c²n=ab³, cdn=bn, bd²n=bn, d⁴n=d²n, ben=b⁴, cen=abeh, d³en=den, fn=an, bgn=d²en, d³gn=dgn, egn=bn, dg²n=d³n, cg³n=cgn, g⁵n=g³n, bhn=ab⁴c, chn=ab³, dhn=bn, ehn=abeh, g³hn=ghn, bin=ab³c, din=ab³, cgin=b³, g³in=gin, ghin=b³, ci²n=cgi², gi²n=b⁴, hi²n=cgi², bjn=ab⁴, djn=aden, gjn=abn, hjn=cjn, kn=b³, bln=b⁴c, d²ln=abdn, eln=cjn, dgln=ad²en, cg²ln=cln, hln=cln, ciln=b⁴c, giln=acln, i²ln=acgi², jln=acjn, cl²n=ab³c, dl²n=bde, gl²n=b⁴, il²n=ab⁴c, cmn=ab³, gmn=den, imn=ac²di, lmn=b³, n²=b⁴, bo=ab², c²o=ab³, cdo=ac²di, d⁴o=acd³, deo=abde, fo=ao, d³go=ag³m, ego=abeg, dg²o=abd³, cg³o=abcg³, g⁴o=acd³, cho=ab³, dho=ab⁴, eho=abeh, g³ho=b⁴c, cio=abhi, dio=abdi, g³io=b³c, hio=abhi, ei²o=ei²n, gi²o=c²di, i³o=i³n, jo=aeo, ko=abk, d²lo=b²d, celo=abcel, g²hlo=cgl³, eilo=behi, gilo=acgl³, i²lo=acgi², dl²o=al²m, el²o=b³, cgl²o=b⁴c, il²o=aegi³, cl³o=cgl³, gl³o=ab⁴c, cmo=abdi, gmo=abeg³l, imo=ac²di, lmo=b³, no=abn, o²=b⁴, bp=ab², c²p=ab³, dp=abd, fp=ap, gp=abg, chp=ab³, ehp=b³c, eip=abeg³l, hip=abci, ci²p=abci², i³p=abg²i, cjp=acep, hjp=ab²d, ijp=aeg³i, kp=abk, celp=abcel, hlp=abhl, cilp=abde, i²lp=bci², cl²p=aceg³, el²p=b³, il²p=abg²i, jl²p=ab³, mp=abeg²l, np=abn, cop=b²h, eop=ab⁴, hop=b²h, iop=b²d, l²op=b²g², p²=op, b²q=b³c, bcq=ab²cl, c²q=c²i, bd³q=cd²q, cd³q=bd²q, bdeq=ab³, d⁴eq=d²eq, fq=aq, cd²gq=d³eq, begq=b³c, cegq=abcegl, degq=cd²q, bdg²q=cd²q, d²g²q=d⁴q, bg³q=d²eq, dg³q=d⁵gq, eg⁴q=d²eq, g⁶q=g⁴q, bhq=ab²hl, chq=bci², eg²hq=abdi, g⁴hq=cd²q, biq=bdi, diq=b³c, ceiq=bde, cgiq=ab²d, egiq=b³, g²iq=b²g², hiq=cdi, i²q=b²d, bjq=abeq, cjq=aceq, gjq=aegq, hjq=aehq, ijq=aeiq, bkq=ab⁴c, ckq=abdi, d²kq=ab³c, ekq=c²i, gkq=abeg³l, ikq=ac²di, bdlq=ab²d, cdlq=aeghq, d²lq=abdq, belq=ad²k, celq=bci², delq=abde, eglq=ab⁴, bg²lq=ac²di, cg²lq=agi²l, dg²lq=aeg³q, g³lq=ad³eq, ghlq=cglq, eilq=abeg³l, djlq=ab⁴c, klq=abk, bgl²q=ac²i, cgl²q=ab⁴, dgl²q=dglo, il²q=b²g², bl³q=cg³i, cl³q=abci², dl³q=al²m, cmq=b³c, imq=b⁴c, lmq=ab³c, d³nq=dnq, d²enq=enq, cg²nq=cnq, g³nq=gnq, hnq=bdnq, inq=ab³, jnq=aenq, clnq=b⁴c, dlnq=abnq, glnq=adenq, l²nq=bde, mnq=bdnq, d³oq=ag²mq, eoq=abeg³l, cgoq=bdi, g²oq=aeg³q, hoq=bcegl, ioq=abdi, loq=ad²k, moq=ab⁴, cpq=b²cl, epq=b⁴c, hpq=b²hl, ipq=abdi, jpq=ab⁴c, l³pq=c²di, opq=b³c, bq²=b³, dq²=b²d, eq²=ab⁴, cgq²=ab²d, g²q²=b²g², hq²=cq², iq²=b³c, jq²=b⁴, kq²=ab⁴, clq²=aeghq, l²q²=b⁴, mq²=b⁴c, nq²=ab³, oq²=ab³, pq²=ab³, q³=b³c>

P = {a, b², b⁴, c², d², d⁴, ade, ad³e, f, g, abdg, acd²g, beg, afg, ag², b²g², d²g², fg², g³, beg³, ag⁴, g⁵, ag⁶, ch, agh, ag³h, ag⁵h, bi, acdi, dgi, egi, bg²i, cg³i, abhi, i², agi², ahi², bi³, dj, abgj, ak, ad²k, ek, al, bcl, ad²l, del, acgl, bdgl, cegl, ag²l, bcg²l, ad²g²l, ceg³l, ag⁴l, g⁵l, ag⁶l, ab²hl, fhl, ghl, bil, acg²il, gi²l, djl, acgjl, ahjl, l², d²l², afl², agl², jl², al³, ad²l³, am, ag²m, ai²m, alm, n, abdn, agn, d²gn, g²n, ag³n, g⁴n, ahn, ag²hn, acin, ein, acijn, agln, ag³ln, g⁴ln, amn, d²go, ag²io, ailo, gl²o, cip, op, abq, acdq, ad³q, ad⁵q, cg²q, acg³q, acg⁵q, eghq, g³hq, iq, dkq, ablq, dglq, cilq, dl²q, agmq, ag³mq, acnq, adgnq, coq, pq, lpq, q²}

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

Monoid Structure