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 Q₇₈(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁶=b¹⁴, 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=b¹⁴, b⁵i=b¹³, ci=ab²i, di=ab⁴i, ei=b¹³, fi=ab¹³, gi=b¹⁴, hi=ab¹⁵, i²=b¹⁴, b⁶j=ab¹⁵, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁵j, gj=ab¹⁵, hj=b¹⁴, ij=ab¹⁵, j²=b¹⁴, b⁶k=ab⁵j, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁵k, gk=ab⁵j, hk=ab¹⁵, ik=b¹⁴, jk=ab¹⁵, k²=b¹⁴, b⁵l=ab⁴k, cl=ab²l, dl=ab⁴l, el=ab⁴k, fl=b⁴k, gl=ab⁵k, hl=ab⁵j, il=ab¹⁵, jl=b¹⁴, kl=ab¹⁵, l²=b¹⁴, b⁴m=ab³l, cm=ab²m, dm=b³l, em=ab⁴l, fm=b⁴l, gm=b⁴k, hm=ab⁵k, im=ab⁵j, jm=ab¹⁵, km=b¹⁴, lm=ab¹⁵, m²=b¹⁴, b³n=ab²m, cn=ab²n, dn=b³m, en=b³l, fn=ab³l, gn=b⁴l, hn=b⁴k, in=ab⁵k, jn=ab⁵j, kn=ab¹⁵, ln=b¹⁴, mn=ab¹⁵, n²=b¹⁴, b²o=abn, co=bn, do=ab²m, eo=b³m, fo=ab³m, go=ab³l, ho=b⁴l, io=b⁴k, jo=ab⁵k, ko=ab⁵j, lo=ab¹⁵, mo=b¹⁴, no=ab¹⁵, o²=b¹⁴, bp=ao, cp=bo, dp=ab²n, ep=ab²m, fp=b²m, gp=ab³m, hp=ab³l, ip=b⁴l, jp=b⁴k, kp=ab⁵k, lp=ab⁵j, mp=ab¹⁵, np=b¹⁴, op=ab¹⁵, p²=b¹⁴, bq=ap, cq=ao, dq=bn, eq=ab²n, fq=b²n, gq=b²m, hq=ab³m, iq=ab³l, jq=b⁴l, kq=b⁴k, lq=ab⁵k, mq=ab⁵j, nq=ab¹⁵, oq=b¹⁴, pq=ab¹⁵, q²=b¹⁴, br=aq, cr=ap, dr=bo, er=bn, fr=abn, gr=b²n, hr=b²m, ir=ab³m, jr=ab³l, kr=b⁴l, lr=b⁴k, mr=ab⁵k, nr=ab⁵j, or=ab¹⁵, pr=b¹⁴, qr=ab¹⁵, r²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ae, bf, abg, h, b²h, abi, ab³i, j, b²j, b⁴j, abk, ab³k, ab⁵k, l, b²l, b⁴l, abm, ab³m, n, b²n, abo, p, r}

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 bn o bn b¹⁴ bo p bo ab¹⁵ ao q ao b¹⁴ ap r ap ab¹⁵ aq

Monoid Structure