Details Page for 0.7012

Complete Solution is Known:

MSV File: q-0.7012.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₄(0.7012):

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=b⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=ab⁹, f²=b¹⁰, b⁵g=b¹¹, cg=ab²g, dg=ab³g, eg=b⁴g, fg=ab¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=b⁴h, fh=ab⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=ab²i, di=ab³i, ei=b⁴i, fi=ab⁵i, gi=b⁶i, hi=ab¹⁵, i²=b¹⁴, b⁷j=ab⁶i, cj=ab²j, dj=ab³j, ej=b⁴j, fj=ab⁵j, gj=b⁶j, hj=b⁶i, ij=ab¹⁵, j²=b¹⁴, b⁶k=ab⁵j, ck=ab²k, dk=ab³k, ek=b⁴k, fk=ab⁵k, gk=ab⁵j, hk=b⁶j, ik=b⁶i, jk=ab¹⁵, k²=b¹⁴, b⁵l=ab⁴k, cl=ab²l, dl=ab³l, el=b⁴l, fl=b⁴k, gl=ab⁵k, hl=ab⁵j, il=b⁶j, jl=b⁶i, kl=ab¹⁵, l²=b¹⁴, b⁴m=ab³l, cm=ab²m, dm=ab³m, em=ab³l, fm=b⁴l, gm=b⁴k, hm=ab⁵k, im=ab⁵j, jm=b⁶j, km=b⁶i, lm=ab¹⁵, m²=b¹⁴, b³n=ab²m, cn=ab²n, dn=b²m, en=ab³m, fn=ab³l, gn=b⁴l, hn=b⁴k, in=ab⁵k, jn=ab⁵j, kn=b⁶j, ln=b⁶i, mn=ab¹⁵, n²=b¹⁴, b²o=abn, co=bn, do=b²n, eo=b²m, fo=ab³m, go=ab³l, ho=b⁴l, io=b⁴k, jo=ab⁵k, ko=ab⁵j, lo=b⁶j, mo=b⁶i, no=ab¹⁵, o²=b¹⁴, bp=ao, cp=bo, dp=abn, ep=b²n, fp=b²m, gp=ab³m, hp=ab³l, ip=b⁴l, jp=b⁴k, kp=ab⁵k, lp=ab⁵j, mp=b⁶j, np=b⁶i, op=ab¹⁵, p²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, d, abe, f, b²f, abg, ab³g, h, b²h, b⁴h, abi, ab³i, ab⁵i, j, b²j, b⁴j, b⁶j, abk, ab³k, ab⁵k, l, b²l, b⁴l, abm, ab³m, n, b²n, abo, p}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b³ d ab² b² bd e b³ ab³ be f ab⁴ b⁴ bf g b⁵ ab⁵ bg h ab⁶ b⁶ bh i b⁷ ab⁷ bi j ab⁸ b⁸ bj k b⁹ ab⁹ bk l ab¹⁰ b¹⁰ bl m b¹¹ ab¹¹ bm n ab¹² b¹² bn o b¹³ ab¹³ bo p ab¹⁴ b¹⁴ ao

Monoid Structure