Details Page for 0.7135

Complete Solution is Known:

MSV File: q-0.7135.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₄(0.7135):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b³=b, b²c=c, c⁵=ac⁴, bd=ab, cd=ac, d²=b², b²e=e, c²e=abc³, de=ae, ce²=c³, e³=bc⁴, b²f=f, cf=abce, df=af, ef²=abe²f, f³=ac⁴, b²g=g, c²g=ac⁴, dg=ag, ceg=bc⁴, e²g=e²f, efg=abe²f, f²g=ac⁴, g²=fg, b²h=h, ch=abcg, dh=ah, e²h=bc⁴, fh=abfg, gh=abfg, h²=c⁴, b²i=i, ci=cg, di=ai, ei=abeh, fi=abeg, gi=abeg, hi=abeh, i²=eh, b²j=j, cj=be²f, dj=aj, e²j=bc⁴, efj=e²f, f²j=bc⁴, gj=fj, hj=c⁴, ij=abej, j²=c⁴, b²k=k, ck=ae²f, dk=ak, ek=abej, fk=abfj, gk=abfj, hk=abc⁴, ik=ej, jk=abc⁴, k²=c⁴, l=abj, b²m=m, c²m=abe²f, dm=am, cem=e²f, e²m=bc⁴, efm=e²f, f²m=bc⁴, gm=fj, hm=c⁴, im=abej, jm=c⁴, km=abc⁴, m²=c⁴, n=abm, b²o=o, co=cm, do=ao, eo=em, fo=fm, go=fj, ho=c⁴, io=abej, jo=c⁴, ko=abc⁴, mo=c⁴, o²=c⁴, b²p=p, c²p=bcm, dp=ap, cep=acm, fp=abep, cgp=e²f, egp=bc⁴, hp=be²p, ip=gp, jp=abc⁴, kp=c⁴, mp=abc⁴, op=abc⁴, p²=c⁴, b²q=q, cq=abcp, dq=aq, e²q=bgp, efq=agp, f²q=abe²p, gq=abgp, hq=ae²p, iq=abgp, jq=c⁴, kq=abc⁴, mq=c⁴, oq=c⁴, pq=abc⁴, q²=c⁴>

P = {a, b², abc, c², ac³, c⁴, e², aef, f², aeg, fg, bh, eh, aj, am, cm, bp, abcp, ae²p, abeq}

Phi = 1 a b a b c b d b ab² e f e g h i j k j abj m abm o p q

Monoid Structure