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 Q₇₀(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b¹⁴=b¹², 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=ab¹³, h²=b¹², b⁵i=b¹³, ci=ab²i, di=ab⁴i, ei=b¹³, fi=ab¹³, gi=b¹², hi=ab¹³, i²=b¹², b⁵j=ab⁴i, cj=ab²j, dj=ab⁴j, ej=ab⁴i, fj=b⁴i, gj=ab¹³, hj=b¹², ij=ab¹³, j²=b¹², b⁴k=ab³j, ck=ab²k, dk=b³j, ek=ab⁴j, fk=b⁴j, gk=b⁴i, hk=ab¹³, ik=b¹², jk=ab¹³, k²=b¹², b³l=ab²k, cl=ab²l, dl=b³k, el=b³j, fl=ab³j, gl=b⁴j, hl=b⁴i, il=ab¹³, jl=b¹², kl=ab¹³, l²=b¹², b²m=abl, cm=bl, dm=ab²k, em=b³k, fm=ab³k, gm=ab³j, hm=b⁴j, im=b⁴i, jm=ab¹³, km=b¹², lm=ab¹³, m²=b¹², bn=am, cn=bm, dn=ab²l, en=ab²k, fn=b²k, gn=ab³k, hn=ab³j, in=b⁴j, jn=b⁴i, kn=ab¹³, ln=b¹², mn=ab¹³, n²=b¹², bo=an, co=am, do=bl, eo=ab²l, fo=b²l, go=b²k, ho=ab³k, io=ab³j, jo=b⁴j, ko=b⁴i, lo=ab¹³, mo=b¹², no=ab¹³, o²=b¹², bp=ao, cp=an, dp=bm, ep=bl, fp=abl, gp=b²l, hp=b²k, ip=ab³k, jp=ab³j, kp=b⁴j, lp=b⁴i, mp=ab¹³, np=b¹², op=ab¹³, p²=b¹²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², ae, bf, abg, h, b²h, abi, ab³i, j, b²j, b⁴j, abk, ab³k, l, b²l, abm, n, p}

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 bm n bm ab¹³ am o am b¹² an p an ab¹³ ao

Monoid Structure