Details Page for 0.7165

Complete Solution is Known:

MSV File: q-0.7165.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₅(0.7165):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | 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, ehj=bc⁴, ij=abej, j²=hj, b²k=k, ck=ae²f, dk=ak, e²k=ac⁴, efk=abe²f, f²k=ac⁴, gk=fk, ehk=ac⁴, ik=abek, jk=eg, k²=abhk, b²l=l, cl=be²f, dl=al, e²l=bc⁴, efl=e²f, f²l=bc⁴, gl=fl, hl=c⁴, il=abel, jl=hj, kl=hk, l²=c⁴, m=abl, n=l, b²o=o, co=ae²f, do=ao, eo=abel, fo=abfl, go=abfl, ho=abc⁴, io=el, jo=abhj, lo=abc⁴, o²=c⁴, b²p=p, c²p=abe²f, dp=ap, cep=e²f, e²p=bc⁴, efp=e²f, f²p=bc⁴, gp=fl, hp=c⁴, ip=abel, ejp=bc⁴, fjp=ac⁴, kp=abko, lp=c⁴, op=abc⁴, p²=c⁴, b²q=q, cq=abcp, dq=aq, e²q=ac⁴, fq=abeq, gq=ae²f, hq=abc⁴, iq=ae²f, jq=be²f, kq=ae²f, lq=abc⁴, oq=c⁴, pq=abc⁴, q²=c⁴, b²r=r, cr=cp, dr=ar, er=abeq, fr=eq, gr=be²f, hr=c⁴, ir=be²f, jr=ae²f, kr=be²f, lr=c⁴, or=abc⁴, pr=c⁴, qr=abc⁴, r²=c⁴, b²s=s, c²s=bcp, ds=as, ces=acp, fs=abes, gs=abeq, hs=be²s, is=abeq, js=be²f, ks=c⁴, ls=abc⁴, os=c⁴, ps=abc⁴, qs=c⁴, rs=abc⁴, s²=c⁴>

P = {a, b², abc, c², ac³, c⁴, e², aef, f², aeg, fg, bh, eh, hj, abhk, al, bo, cp, bq, bs, abcs, ae²s}

Phi = 1 a b a b c b d b d e f e g h i j k l abl l o p q r s

Monoid Structure