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 Q₇₄(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b¹⁵=b¹³, 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=ab¹³, i²=b¹⁴, b⁶j=ab¹³, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁵j, gj=ab¹³, hj=b¹⁴, ij=ab¹³, j²=b¹⁴, b⁵k=ab⁴j, ck=ab²k, dk=ab⁴k, ek=ab⁴j, fk=b⁴j, gk=ab⁵j, hk=ab¹³, ik=b¹⁴, jk=ab¹³, k²=b¹⁴, b⁴l=ab³k, cl=ab²l, dl=b³k, el=ab⁴k, fl=b⁴k, gl=b⁴j, hl=ab⁵j, il=ab¹³, jl=b¹⁴, kl=ab¹³, l²=b¹⁴, b³m=ab²l, cm=ab²m, dm=b³l, em=b³k, fm=ab³k, gm=b⁴k, hm=b⁴j, im=ab⁵j, jm=ab¹³, km=b¹⁴, lm=ab¹³, m²=b¹⁴, b²n=abm, cn=bm, dn=ab²l, en=b³l, fn=ab³l, gn=ab³k, hn=b⁴k, in=b⁴j, jn=ab⁵j, kn=ab¹³, ln=b¹⁴, mn=ab¹³, n²=b¹⁴, bo=an, co=bn, do=ab²m, eo=ab²l, fo=b²l, go=ab³l, ho=ab³k, io=b⁴k, jo=b⁴j, ko=ab⁵j, lo=ab¹³, mo=b¹⁴, no=ab¹³, o²=b¹⁴, bp=ao, cp=an, dp=bm, ep=ab²m, fp=b²m, gp=b²l, hp=ab³l, ip=ab³k, jp=b⁴k, kp=b⁴j, lp=ab⁵j, mp=ab¹³, np=b¹⁴, op=ab¹³, p²=b¹⁴, bq=ap, cq=ao, dq=bn, eq=bm, fq=abm, gq=b²m, hq=b²l, iq=ab³l, jq=ab³k, kq=b⁴k, lq=b⁴j, mq=ab⁵j, nq=ab¹³, oq=b¹⁴, pq=ab¹³, q²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, 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 bn o bn b¹⁴ an p an ab¹³ ao q ao b¹⁴ ap

Monoid Structure