Details Page for 0.1751

Complete Solution is Known:

MSV File: q-0.1751.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₆(0.1751):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b¹⁹=b¹⁷, 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=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁷, j²=b¹⁸, b⁸k=b¹⁷, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁷, ik=b¹⁸, jk=ab¹⁷, k²=b¹⁸, b⁷l=ab⁶k, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=ab⁶k, hl=b⁷k, il=ab¹⁷, jl=b¹⁸, kl=ab¹⁷, l²=b¹⁸, b⁶m=ab⁵l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=b⁵l, gm=ab⁶l, hm=ab⁶k, im=b⁷k, jm=ab¹⁷, km=b¹⁸, lm=ab¹⁷, m²=b¹⁸, b⁵n=ab⁴m, cn=ab²n, dn=ab⁴n, en=ab⁴m, fn=b⁵m, gn=b⁵l, hn=ab⁶l, in=ab⁶k, jn=b⁷k, kn=ab¹⁷, ln=b¹⁸, mn=ab¹⁷, n²=b¹⁸, b⁴o=ab³n, co=ab²o, do=b³n, eo=ab⁴n, fo=ab⁴m, go=b⁵m, ho=b⁵l, io=ab⁶l, jo=ab⁶k, ko=b⁷k, lo=ab¹⁷, mo=b¹⁸, no=ab¹⁷, o²=b¹⁸, b³p=ab²o, cp=ab²p, dp=b³o, ep=b³n, fp=ab⁴n, gp=ab⁴m, hp=b⁵m, ip=b⁵l, jp=ab⁶l, kp=ab⁶k, lp=b⁷k, mp=ab¹⁷, np=b¹⁸, op=ab¹⁷, p²=b¹⁸, b²q=abp, cq=bp, dq=ab²o, eq=b³o, fq=b³n, gq=ab⁴n, hq=ab⁴m, iq=b⁵m, jq=b⁵l, kq=ab⁶l, lq=ab⁶k, mq=b⁷k, nq=ab¹⁷, oq=b¹⁸, pq=ab¹⁷, q²=b¹⁸, br=aq, cr=bq, dr=ab²p, er=ab²o, fr=b³o, gr=b³n, hr=ab⁴n, ir=ab⁴m, jr=b⁵m, kr=b⁵l, lr=ab⁶l, mr=ab⁶k, nr=b⁷k, or=ab¹⁷, pr=b¹⁸, qr=ab¹⁷, r²=b¹⁸, bs=ar, cs=aq, ds=bp, es=ab²p, fs=ab²o, gs=b³o, hs=b³n, is=ab⁴n, js=ab⁴m, ks=b⁵m, ls=b⁵l, ms=ab⁶l, ns=ab⁶k, os=b⁷k, ps=ab¹⁷, qs=b¹⁸, rs=ab¹⁷, s²=b¹⁸, bt=as, ct=ar, dt=bq, et=bp, ft=ab²p, gt=ab²o, ht=b³o, it=b³n, jt=ab⁴n, kt=ab⁴m, lt=b⁵m, mt=b⁵l, nt=ab⁶l, ot=ab⁶k, pt=b⁷k, qt=ab¹⁷, rt=b¹⁸, st=ab¹⁷, t²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, am, ab²m, ab⁴m, bn, b³n, ao, ab²o, bp, aq, as}

Phi = 1 a a b b a a b b c c b³ b³ d d b⁵ e ab⁶ f b⁷ g ab⁸ h b⁹ i ab¹⁰ j b¹¹ k ab¹² l b¹³ m ab¹⁴ n b¹⁵ o ab¹⁶ p b¹⁷ q ab¹⁸ r b¹⁷ s ab¹⁸ t b¹⁷

Monoid Structure