Details Page for 0.7172

Complete Solution is Known:

MSV File: q-0.7172.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₅(0.7172):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁷=b¹⁵, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=b¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=b¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=b¹³, fh=b¹⁴, gh=b¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=b¹⁵, gi=b¹⁶, hi=b¹⁵, i²=b¹⁶, b⁷j=ab¹⁵, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=ab⁶j, gj=b¹⁵, hj=b¹⁶, ij=b¹⁵, j²=b¹⁶, b⁶k=b⁵j, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=ab⁵j, gk=ab⁶j, hk=b¹⁵, ik=b¹⁶, jk=b¹⁵, k²=b¹⁶, b⁵l=b⁴k, cl=ab²l, dl=ab⁴l, el=ab⁴k, fl=ab⁵k, gl=ab⁵j, hl=ab⁶j, il=b¹⁵, jl=b¹⁶, kl=b¹⁵, l²=b¹⁶, b⁴m=b³l, cm=ab²m, dm=ab³l, em=ab⁴l, fm=ab⁴k, gm=ab⁵k, hm=ab⁵j, im=ab⁶j, jm=b¹⁵, km=b¹⁶, lm=b¹⁵, m²=b¹⁶, b³n=b²m, cn=ab²n, dn=ab³m, en=ab³l, fn=ab⁴l, gn=ab⁴k, hn=ab⁵k, in=ab⁵j, jn=ab⁶j, kn=b¹⁵, ln=b¹⁶, mn=b¹⁵, n²=b¹⁶, b²o=bn, co=abn, do=ab²m, eo=ab³m, fo=ab³l, go=ab⁴l, ho=ab⁴k, io=ab⁵k, jo=ab⁵j, ko=ab⁶j, lo=b¹⁵, mo=b¹⁶, no=b¹⁵, o²=b¹⁶, bp=o, cp=abo, dp=ab²n, ep=ab²m, fp=ab³m, gp=ab³l, hp=ab⁴l, ip=ab⁴k, jp=ab⁵k, kp=ab⁵j, lp=ab⁶j, mp=b¹⁵, np=b¹⁶, op=b¹⁵, p²=b¹⁶, bq=p, cq=ao, dq=abn, eq=ab²n, fq=ab²m, gq=ab³m, hq=ab³l, iq=ab⁴l, jq=ab⁴k, kq=ab⁵k, lq=ab⁵j, mq=ab⁶j, nq=b¹⁵, oq=b¹⁶, pq=b¹⁵, q²=b¹⁶, br=q, cr=ap, dr=abo, er=abn, fr=ab²n, gr=ab²m, hr=ab³m, ir=ab³l, jr=ab⁴l, kr=ab⁴k, lr=ab⁵k, mr=ab⁵j, nr=ab⁶j, or=b¹⁵, pr=b¹⁶, qr=b¹⁵, r²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, ae, abf, ag, ab²g, abh, ab³h, ai, ab²i, ab⁴i, abj, ab³j, ab⁵j, ak, ab²k, ab⁴k, abl, ab³l, am, ab²m, abn, ao, aq}

Phi = 1 a b a 1 ab 1 ab b a b c ac ab ac ab³ b³ ab² b³ d b⁴ ab³ b⁴ e b⁵ ab⁴ b⁵ f b⁶ ab⁵ b⁶ g b⁷ ab⁶ b⁷ h b⁸ ab⁷ b⁸ i b⁹ ab⁸ b⁹ j b¹⁰ ab⁹ b¹⁰ k b¹¹ ab¹⁰ b¹¹ l b¹² ab¹¹ b¹² m b¹³ ab¹² b¹³ n b¹⁴ ab¹³ b¹⁴ o b¹⁵ ab¹⁴ b¹⁵ p b¹⁶ ab¹⁵ b¹⁶ q b¹⁵ ab¹⁶ b¹⁵ r b¹⁶ ab¹⁵ b¹⁶

Monoid Structure