Details Page for 0.3072

Complete Solution is Known:

MSV File: q-0.3072.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₂(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a²=1, b¹²=b¹⁰, b²c=ab⁴, c²=b⁴, b²d=ab⁶, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b²f=ab⁷, ef=abdf, f²=b¹⁰, b²g=bcf, cg=abcf, dg=ab¹⁰, eg=b¹¹, fg=ab¹¹, g²=b¹⁰, b³h=abdf, ch=ab²h, dh=b¹¹, eh=ab¹⁰, fh=b¹⁰, gh=ab¹¹, h²=b¹⁰, b⁴i=bdf, ci=ab²i, di=abdf, ei=b¹¹, fi=ab¹¹, gi=b¹⁰, hi=ab¹¹, i²=b¹⁰, b³j=ab²i, cj=ab²j, dj=b³i, ej=abdf, fj=bdf, gj=ab¹¹, hj=b¹⁰, ij=ab¹¹, j²=b¹⁰, b²k=abj, ck=bj, dk=ab²i, ek=b³i, fk=ab³i, gk=bdf, hk=ab¹¹, ik=b¹⁰, jk=ab¹¹, k²=b¹⁰, bl=ak, cl=bk, dl=ab²j, el=ab²i, fl=b²i, gl=ab³i, hl=bdf, il=ab¹¹, jl=b¹⁰, kl=ab¹¹, l²=b¹⁰, bm=al, cm=ak, dm=bj, em=ab²j, fm=b²j, gm=b²i, hm=ab³i, im=bdf, jm=ab¹¹, km=b¹⁰, lm=ab¹¹, m²=b¹⁰, bn=am, cn=al, dn=bk, en=bj, fn=abj, gn=b²j, hn=b²i, in=ab³i, jn=bdf, kn=ab¹¹, ln=b¹⁰, mn=ab¹¹, n²=b¹⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, ae, bf, abg, h, b²h, abi, ab³i, j, b²j, abk, l, n}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b² abc bc abc ab³ d ad d b⁴ e ae e f abe g abe b⁶ bg h bg ab⁷ bh i bh b⁸ bi j bi ab⁹ bj k bj b¹⁰ bk l bk ab¹¹ ak m ak b¹⁰ al n al ab¹¹ am

Monoid Structure