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 Q₄₈(0.7012):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b¹²=b¹⁰, 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=b¹⁰, b⁵h=ab⁴g, ch=ab²h, dh=ab³h, eh=b⁴h, fh=b⁴g, gh=ab¹¹, h²=b¹⁰, b⁴i=ab³h, ci=ab²i, di=ab³i, ei=ab³h, fi=b⁴h, gi=b⁴g, hi=ab¹¹, i²=b¹⁰, b³j=ab²i, cj=ab²j, dj=b²i, ej=ab³i, fj=ab³h, gj=b⁴h, hj=b⁴g, ij=ab¹¹, j²=b¹⁰, b²k=abj, ck=bj, dk=b²j, ek=b²i, fk=ab³i, gk=ab³h, hk=b⁴h, ik=b⁴g, jk=ab¹¹, k²=b¹⁰, bl=ak, cl=bk, dl=abj, el=b²j, fl=b²i, gl=ab³i, hl=ab³h, il=b⁴h, jl=b⁴g, kl=ab¹¹, l²=b¹⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, d, abe, f, b²f, abg, ab³g, h, b²h, b⁴h, abi, ab³i, j, b²j, abk, l}

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 ak

Monoid Structure