Details Page for 0.5174

Complete Solution is Known:

MSV File: q-0.5174.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₅₈(0.5174):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b¹⁶=b¹⁴, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁴, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁴, hi=ab¹⁵, i²=b¹⁴, b⁶j=ab⁵i, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=b⁵i, gj=ab¹⁵, hj=b¹⁴, ij=ab¹⁵, j²=b¹⁴, b⁵k=ab⁴j, ck=ab²k, dk=ab⁴k, ek=ab⁴j, fk=b⁵j, gk=b⁵i, hk=ab¹⁵, ik=b¹⁴, jk=ab¹⁵, k²=b¹⁴, b⁴l=ab³k, cl=ab²l, dl=b³k, el=ab⁴k, fl=ab⁴j, gl=b⁵j, hl=b⁵i, il=ab¹⁵, jl=b¹⁴, kl=ab¹⁵, l²=b¹⁴, b³m=ab²l, cm=ab²m, dm=b³l, em=b³k, fm=ab⁴k, gm=ab⁴j, hm=b⁵j, im=b⁵i, jm=ab¹⁵, km=b¹⁴, lm=ab¹⁵, m²=b¹⁴, b²n=abm, cn=bm, dn=ab²l, en=b³l, fn=b³k, gn=ab⁴k, hn=ab⁴j, in=b⁵j, jn=b⁵i, kn=ab¹⁵, ln=b¹⁴, mn=ab¹⁵, n²=b¹⁴, bo=an, co=bn, do=ab²m, eo=ab²l, fo=b³l, go=b³k, ho=ab⁴k, io=ab⁴j, jo=b⁵j, ko=b⁵i, lo=ab¹⁵, mo=b¹⁴, no=ab¹⁵, o²=b¹⁴, bp=ao, cp=an, dp=bm, ep=ab²m, fp=ab²l, gp=b³l, hp=b³k, ip=ab⁴k, jp=ab⁴j, kp=b⁵j, lp=b⁵i, mp=ab¹⁵, np=b¹⁴, op=ab¹⁵, p²=b¹⁴, bq=ap, cq=ao, dq=bn, eq=bm, fq=ab²m, gq=ab²l, hq=b³l, iq=b³k, jq=ab⁴k, kq=ab⁴j, lq=b⁵j, mq=b⁵i, nq=ab¹⁵, oq=b¹⁴, pq=ab¹⁵, q²=b¹⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, bl, b³l, am, ab²m, bn, ao, aq}

Phi = 1 a a a b b b a a c b b b³ c c d b³ b³ b⁵ d d ab⁶ e e b⁷ f f ab⁸ g g b⁹ h h ab¹⁰ i i b¹¹ j j ab¹² k k b¹³ l l ab¹⁴ m m b¹⁵ n n ab¹⁴ o o b¹⁵ p p ab¹⁴ q q b¹⁵

Monoid Structure