Details Page for 0.7153

Complete Solution is Known:

MSV File: q-0.7153.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₁(0.7153):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b¹⁶=b¹⁴, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹⁵, i²=b¹⁴, b⁷j=b⁶i, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁶j, hj=ab⁶i, ij=b¹⁵, j²=b¹⁴, b⁶k=b⁵j, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁵j, hk=ab⁶j, ik=ab⁶i, jk=b¹⁵, k²=b¹⁴, b⁵l=b⁴k, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁴k, gl=ab⁵k, hl=ab⁵j, il=ab⁶j, jl=ab⁶i, kl=b¹⁵, l²=b¹⁴, b⁴m=b³l, cm=ab²m, dm=ab³m, em=ab³l, fm=ab⁴l, gm=ab⁴k, hm=ab⁵k, im=ab⁵j, jm=ab⁶j, km=ab⁶i, lm=b¹⁵, m²=b¹⁴, b³n=b²m, cn=ab²n, dn=ab²m, en=ab³m, fn=ab³l, gn=ab⁴l, hn=ab⁴k, in=ab⁵k, jn=ab⁵j, kn=ab⁶j, ln=ab⁶i, mn=b¹⁵, n²=b¹⁴, b²o=bn, co=abn, do=ab²n, eo=ab²m, fo=ab³m, go=ab³l, ho=ab⁴l, io=ab⁴k, jo=ab⁵k, ko=ab⁵j, lo=ab⁶j, mo=ab⁶i, no=b¹⁵, o²=b¹⁴, bp=o, cp=abo, dp=abn, ep=ab²n, fp=ab²m, gp=ab³m, hp=ab³l, ip=ab⁴l, jp=ab⁴k, kp=ab⁵k, lp=ab⁵j, mp=ab⁶j, np=ab⁶i, op=b¹⁵, p²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, al, ab²l, ab⁴l, abm, ab³m, an, ab²n, abo, ap}

Phi = 1 a b a b ab b² ab b² c 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 b¹⁴ ab¹⁵ b¹⁴

Monoid Structure