Details Page for 0.4145

Complete Solution is Known:

MSV File: q-0.4145.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₄(0.4145):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b³=b, b²c=c, c³=ac², c²d=ac², b²d²=d², cd²=acd, d³=ad², b²e=e, ce=c², de=c², e²=c², b²f=f, c²f=ac², cdf=ac², ef=cf, df²=cf², f³=af², b²g=g, cf²g=acfg, c²g²=c², cdg³=cdg, cfg³=cfg, dfg³=dfg, f²g³=f²g, g⁵=g, b²h=h, dh=ac²h, eh=ch, fh=ch, g⁴h=h, h²=c², b²i=i, c²i=bc²gh, cgi=bcg²h, d²gi=adgi, egi=bcg²h, fgi=bcg²h, hi=bc²g, gi²=c²g, cdi³=cdi, cfi³=cfi, dfi³=dfi, f²i³=f²i, i⁴=i², b²j=j, c²j=bc², cfj=aej, dfj=aej, f²j=afj, g³j=gj, hj=bc²h, cdij=abd²fi, gij=c²h, i³j=ij, j²=c², b²k=k, ck=bd²f, dk=ak, ek=abc², fk=abc², g³k=gk, hk=bc²h, gik=c²h, i³k=ik, jk=c², k²=c², b²l=l, cl=abcdgj, dl=al, el=ac²g, fl=ac²g, g²l=l, hl=c²gh, il=bc²h, jl=bc²g, kl=bc²g, l²=c², b²m=m, c²m=bc²gh, cdm=acm, d²m=adm, em=abc²gh, cfm=bc²gh, gm=abch, hm=bc²g, ci²m=cm, di²m=dm, fi²m=fm, i³m=im, cjm=abdfm, fjm=eij, i²jm=jm, km=adjm, lm=bc²h, m²=c², b²n=n, c²n=bc²gh, cdn=acm, d²n=adm, cf²n=cf²i, gn=abch, hn=bc²g, ci²n=cn, di²n=dn, ei²n=en, fi²n=fn, i³n=in, djn=ajm, ejn=eij, i²jn=jn, kn=adjm, ln=bc²h, mn=aein, cn²=cf²i², dn²=cf²i², en²=cf²i², i²n²=n², jn²=afijn, n³=f²in², b²o=o, c²o=bc², cdo=bc², eo=co, cfo=aco, dfo=aco, f²o=afo, g³o=go, ho=bc²h, gio=c²h, i³o=io, d²ijo=dfm, ko=d²jo, lo=bc²g, mo=acio, no=afio, o²=c², b²p=p, c²p=abc²g, cdp=acp, d²p=adp, ep=bc²g, cfp=abc²g, f²p=egj, cg²p=cp, dg²p=dp, fg²p=fp, g⁴p=p, hp=abc²gh, ip=cg²h, cjp=abdfp, djp=ajp, fjp=c²g, g²jp=jp, g²kp=kp, lp=bgkp, mp=ac²h, np=ac²h, op=cgjo, p²=c², b²q=q, c²q=c²h, cdq=c²h, d²q=adq, eq=cq, fq=cq, g⁴q=q, ciq=bcghq, i²q=c²h, jq=bc²h, kq=bc²h, lq=c²gh, mq=abcg³hq, nq=abcg³hq, oq=bc²h, cpq=bc²gh, dpq=bc²gh, q²=c²>

P = {a, b², abc, c², ab²d, bcd, d², ae, cf, f², acf², acg, cdg, afg, dfg, ad²fg, g², abcg², adg², bcdg², d²g², aeg², cfg², f²g², acg³, afg³, g⁴, abcg⁴, adg⁴, d²g⁴, aeg⁴, bci, abcdi, bfi, abdfi, bd²fi, i², abci², adi², bcdi², d²i², aei², cfi², f²i², acf²i², bci³, bfi³, abj, bfj, bgj, abdgj, bd²gj, abegj, abfgj, aij, cij, dij, ad²ij, fij, abi²j, bfi²j, bk, bg²k, bi²k, gl, bim, abcim, abdim, bin, abcin, abdin, aein, fin, abijn, bfijn, n², f²n², abo, bfo, bgo, abcgo, abdgo, bd²go, abfgo, abi²o, bfi²o, ajo, fjo, gjo, acgjo, adgjo, d²gjo, afgjo, ai²jo, fi²jo, abp, bdp, bfp, cgp, abg²p, agkp, bg²q, abcg²q, abdg²q, cg³q, hq, achq, g²hq, bg³iq, abdg³iq, agpq}

Phi = 1 1 a a g³i g³i ag³i b b c d bg³i abg³i bch adg³i g³i e f g bdg³i c²h h i j k c²g l ac²g m n bcgh bc² o p q ach ac²h

Monoid Structure