Details Page for 0.4126

Complete Solution is Known:

MSV File: q-0.4126.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₀(0.4126):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b⁴=b², b²c=c, c³=ac², bd=ab, cd=ac, d³=ad², b³e=be, c²e=ace, de=ae, e²=c², b³f=bf, cf=bce, d²f=adf, ef=abc, b²f²=f², df²=af², f³=abce, b³g=bg, c²g=bc², dg=ag, b²eg=eg, ceg=bce, f²g=bc², g²=c², b²h=h, ch=cg, dh=ah, eh=eg, gh=c², h²=c², i=c, b²j=j, cj=c², dj=aj, ej=ce, fj=bce, gj=abc², hj=af²h, j²=c², b²k=k, ck=abce, dk=ak, ek=abc², f²k=bce, hk=abeg, jk=abce, k²=c², bl=be, cl=ce, dl=al, f²l=ace, egl=bc², hl=eg, jl=ce, kl=abc², l²=c², cm=cg, dm=am, em=eg, f²m=bc², bgm=bc², fgm=abce, hm=c², jm=abc², km=gk, lm=gl, m²=gm, dn=an, cn²=c, en²=e, f²n²=f², hn²=h, jn²=j, kn²=k, ln²=l, mn²=m, n³=n, b²o=o, co=abce, do=ao, eo=abc², f²o=bce, go=gk, ho=ce, jo=abce, ko=c², lo=abc², mo=ce, n²o=o, o²=c², b³p=bp, cp=ce, dp=ap, ep=el, fp=f²h, gp=abce, hp=abce, jp=ce, kp=abc², lp=c², mp=abce, n²p=p, op=abc², p²=c², b²q=q, dq=aq, f²q=c²q, gq=bc²q, hq=bc²q, fkq=jq, lq=eq, mq=bc²q, n²q=q, oq=bceq, pq=aceq, q²=bc²q, b³r=br, c²r=acr, dr=ar, b²er=er, cer=aer, f²r=acr, b²gr=gr, cgr=bcr, egr=ber, hr=abcr, jr=cr, kr=aber, lr=er, mr=abcr, b²nr=nr, gnr=abcnr, or=aber, pr=er, qr=c²nq, r²=bc²q, cs=ac, ds=as, es=ab²e, b²fs=fs, f²s=ac², js=abcg, gks=beg, ls=ab²e, fms=fhs, gms=ael, ps=ce, kqs=abceq, b²rs=rs, nrs=anr, s²=ab²s>

P = {a, b², abc, c², d², af, f², bg, abfh, abfgk, al, fgl, bm, b³m, gm, ab²n, bcn, afn, bjn, bfkn, afln, n², b²n², bgn², ap, bq, bc²q, ab²r, afr, abenr, ab²s, abgs, bfks, ams, ab³ms, ns, b²ns, bfgns, ab²n²s, abgn²s, abqs, bfgrs}

Phi = 1 1 a a abe abe be b b c d bce e f g h c j k l b²e m n c bcg o p b²e q r s

Monoid Structure