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 Q₆₆(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b¹³=b¹¹, 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=b¹², b³h=abdf, ch=ab²h, dh=b¹¹, eh=ab¹², fh=b¹², gh=ab¹¹, h²=b¹², b⁵i=b¹¹, ci=ab²i, di=ab⁴i, ei=b¹¹, fi=ab¹¹, gi=b¹², hi=ab¹¹, i²=b¹², b⁴j=ab³i, cj=ab²j, dj=b³i, ej=ab⁴i, fj=b⁴i, gj=ab¹¹, hj=b¹², ij=ab¹¹, j²=b¹², b³k=ab²j, ck=ab²k, dk=b³j, ek=b³i, fk=ab³i, gk=b⁴i, hk=ab¹¹, ik=b¹², jk=ab¹¹, k²=b¹², b²l=abk, cl=bk, dl=ab²j, el=b³j, fl=ab³j, gl=ab³i, hl=b⁴i, il=ab¹¹, jl=b¹², kl=ab¹¹, l²=b¹², bm=al, cm=bl, dm=ab²k, em=ab²j, fm=b²j, gm=ab³j, hm=ab³i, im=b⁴i, jm=ab¹¹, km=b¹², lm=ab¹¹, m²=b¹², bn=am, cn=al, dn=bk, en=ab²k, fn=b²k, gn=b²j, hn=ab³j, in=ab³i, jn=b⁴i, kn=ab¹¹, ln=b¹², mn=ab¹¹, n²=b¹², bo=an, co=am, do=bl, eo=bk, fo=abk, go=b²k, ho=b²j, io=ab³j, jo=ab³i, ko=b⁴i, lo=ab¹¹, mo=b¹², no=ab¹¹, o²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², 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 bl m bl b¹² al n al ab¹¹ am o am b¹² an

Monoid Structure