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 Q₆₀(0.7012):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b¹⁵=b¹³, 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=b¹³, ci=ab²i, di=ab³i, ei=b⁴i, fi=ab⁵i, gi=b⁶i, hi=ab¹³, i²=b¹⁴, b⁶j=ab⁵i, cj=ab²j, dj=ab³j, ej=b⁴j, fj=ab⁵j, gj=ab⁵i, hj=b⁶i, ij=ab¹³, j²=b¹⁴, b⁵k=ab⁴j, ck=ab²k, dk=ab³k, ek=b⁴k, fk=b⁴j, gk=ab⁵j, hk=ab⁵i, ik=b⁶i, jk=ab¹³, k²=b¹⁴, b⁴l=ab³k, cl=ab²l, dl=ab³l, el=ab³k, fl=b⁴k, gl=b⁴j, hl=ab⁵j, il=ab⁵i, jl=b⁶i, kl=ab¹³, l²=b¹⁴, b³m=ab²l, cm=ab²m, dm=b²l, em=ab³l, fm=ab³k, gm=b⁴k, hm=b⁴j, im=ab⁵j, jm=ab⁵i, km=b⁶i, lm=ab¹³, m²=b¹⁴, b²n=abm, cn=bm, dn=b²m, en=b²l, fn=ab³l, gn=ab³k, hn=b⁴k, in=b⁴j, jn=ab⁵j, kn=ab⁵i, ln=b⁶i, mn=ab¹³, n²=b¹⁴, bo=an, co=bn, do=abm, eo=b²m, fo=b²l, go=ab³l, ho=ab³k, io=b⁴k, jo=b⁴j, ko=ab⁵j, lo=ab⁵i, mo=b⁶i, no=ab¹³, o²=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, 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 bn o b¹³ ab¹³ an

Monoid Structure