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 Q₃₂(0.4126):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b⁴=b², b²c=c, c⁴=ac³, bd=ab, cd=ac, d³=ad², b³e=be, c²e=ace, de=ae, e²=ac³, b³f=bf, cf=bce, d²f=adf, b²ef=ef, b²f²=f², df²=af², ef²=ace, f³=abce, b³g=bg, c²g=abc³, dg=ag, b²eg=eg, ceg=bce, f²g=abc³, g²=ac³, b²h=h, ch=cg, dh=ah, eh=eg, gh=ac³, h²=ac³, b²i=i, ci=c², di=ai, ei=ce, fi=bce, gi=cg, hi=cg, i²=ac³, b²j=j, cj=ac³, dj=aj, ej=ce, fj=bce, gj=bc³, hj=af²h, ij=ac³, j²=ac³, b²k=k, ck=abce, dk=ak, ek=bc³, f²k=bce, hk=abeg, ik=abce, jk=abce, k²=ac³, bl=be, cl=ce, dl=al, efl=abce, f²l=ace, egl=abc³, hl=eg, il=ce, jl=ce, kl=bc³, l²=ac³, cm=abefg, dm=am, em=eg, f²m=abc³, bgm=abc³, fgm=abce, hm=ac³, im=abefg, jm=bc³, km=gk, lm=gl, m²=gm, dn=an, cn²=c, en²=e, f²n²=f², hn²=h, in²=i, jn²=j, kn²=k, ln²=l, mn²=m, n³=n, b²o=o, co=abce, do=ao, eo=bc³, f²o=bce, go=gk, ho=ce, io=abce, jo=abce, ko=ac³, lo=bc³, mo=ce, n²o=o, o²=ac³, b³p=bp, cp=ce, dp=ap, ep=el, fp=f²h, gp=abce, hp=abce, ip=ce, jp=ce, kp=bc³, lp=ac³, mp=abce, n²p=p, op=bc³, p²=ac³, b²q=q, c³q=ac²q, dq=aq, efq=abcq, 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, efr=abcr, f²r=acr, b²gr=gr, cgr=bcr, egr=ber, hr=abcr, ir=cr, jr=cr, kr=aber, lr=er, mr=abcr, b²nr=nr, gnr=abcnr, or=aber, pr=er, qr=c²nq, r²=bc²q, cs=bef, ds=as, es=ab²e, b²fs=fs, f²s=c³, is=bef, js=efg, gks=beg, ls=ab²e, fms=fhs, gms=ael, ps=ce, kqs=abceq, b²rs=rs, nrs=anr, s²=ab²s, b²t=t, c²t=abf²h, dt=at, et=abeg, f²t=c³, cgt=f²h, fgt=ce, fht=ce, jt=bf²h, kt=bp, lt=abeg, mt=af²h, n²t=t, ot=abce, pt=ce, cqt=c²q, fqt=bceq, iqt=ajq, rt=cr, gst=abc³, hst=abc³, qst=c²q, ct²=c³, ft²=abce, gt²=abc³, ht²=abc³, it²=abf²h, qt²=c²q, st²=c³, t³=c³, b³u=bu, cu=abce, du=au, eu=bc³, f²u=bce, b²gu=gu, hu=ce, iu=abce, ju=abce, ku=ac³, lu=bc³, mu=ce, nu=bcen, ou=ac³, pu=bc³, qu=bceq, ru=aber, b²su=su, tu=abce, u²=ac³>

P = {a, b², abc, c², ac³, d², af, ef, f², bg, abfh, abi, abfgk, al, fgl, bm, b³m, gm, ab²n, bcn, afn, aefn, bin, bjn, bfkn, afln, n², b²n², bgn², ap, bq, bc²q, ab²r, afr, abenr, ab²s, abgs, bfks, ams, ab³ms, ns, b²ns, bfgns, ab²n²s, abgn²s, abqs, bfgrs, abct, abht, abit, ant, abint, t², ab²fu, abfgu, fsu}

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

Monoid Structure