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 Q₅₆(0.7012):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b¹⁴=b¹², 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=b¹², b⁶i=ab⁵h, ci=ab²i, di=ab³i, ei=b⁴i, fi=ab⁵i, gi=ab⁵h, hi=ab¹³, i²=b¹², b⁵j=ab⁴i, cj=ab²j, dj=ab³j, ej=b⁴j, fj=b⁴i, gj=ab⁵i, hj=ab⁵h, ij=ab¹³, j²=b¹², b⁴k=ab³j, ck=ab²k, dk=ab³k, ek=ab³j, fk=b⁴j, gk=b⁴i, hk=ab⁵i, ik=ab⁵h, jk=ab¹³, k²=b¹², b³l=ab²k, cl=ab²l, dl=b²k, el=ab³k, fl=ab³j, gl=b⁴j, hl=b⁴i, il=ab⁵i, jl=ab⁵h, kl=ab¹³, l²=b¹², b²m=abl, cm=bl, dm=b²l, em=b²k, fm=ab³k, gm=ab³j, hm=b⁴j, im=b⁴i, jm=ab⁵i, km=ab⁵h, lm=ab¹³, m²=b¹², bn=am, cn=bm, dn=abl, en=b²l, fn=b²k, gn=ab³k, hn=ab³j, in=b⁴j, jn=b⁴i, kn=ab⁵i, ln=ab⁵h, mn=ab¹³, n²=b¹²>

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

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 am

Monoid Structure