Details Page for 0.7022

Complete Solution is Known:

MSV File: q-0.7022.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₈(0.7022):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b¹⁷=b¹⁵, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=b⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=ab⁹, f²=b¹⁰, b⁵g=b¹¹, cg=ab²g, dg=ab³g, eg=b⁴g, fg=ab¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=b⁴h, fh=ab⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=ab²i, di=ab³i, ei=b⁴i, fi=ab⁵i, gi=b⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=ab¹⁵, cj=ab²j, dj=ab³j, ej=b⁴j, fj=ab⁵j, gj=b⁶j, hj=ab⁷j, ij=ab¹⁵, j²=b¹⁶, b⁷k=ab⁶j, ck=ab²k, dk=ab³k, ek=b⁴k, fk=ab⁵k, gk=b⁶k, hk=b⁶j, ik=ab⁷j, jk=ab¹⁵, k²=b¹⁶, b⁶l=ab⁵k, cl=ab²l, dl=ab³l, el=b⁴l, fl=ab⁵l, gl=ab⁵k, hl=b⁶k, il=b⁶j, jl=ab⁷j, kl=ab¹⁵, l²=b¹⁶, b⁵m=ab⁴l, cm=ab²m, dm=ab³m, em=b⁴m, fm=b⁴l, gm=ab⁵l, hm=ab⁵k, im=b⁶k, jm=b⁶j, km=ab⁷j, lm=ab¹⁵, m²=b¹⁶, b⁴n=ab³m, cn=ab²n, dn=ab³n, en=ab³m, fn=b⁴m, gn=b⁴l, hn=ab⁵l, in=ab⁵k, jn=b⁶k, kn=b⁶j, ln=ab⁷j, mn=ab¹⁵, n²=b¹⁶, b³o=ab²n, co=ab²o, do=b²n, eo=ab³n, fo=ab³m, go=b⁴m, ho=b⁴l, io=ab⁵l, jo=ab⁵k, ko=b⁶k, lo=b⁶j, mo=ab⁷j, no=ab¹⁵, o²=b¹⁶, b²p=abo, cp=bo, dp=b²o, ep=b²n, fp=ab³n, gp=ab³m, hp=b⁴m, ip=b⁴l, jp=ab⁵l, kp=ab⁵k, lp=b⁶k, mp=b⁶j, np=ab⁷j, op=ab¹⁵, p²=b¹⁶, bq=ap, cq=bp, dq=abo, eq=b²o, fq=b²n, gq=ab³n, hq=ab³m, iq=b⁴m, jq=b⁴l, kq=ab⁵l, lq=ab⁵k, mq=b⁶k, nq=b⁶j, oq=ab⁷j, pq=ab¹⁵, q²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, d, abe, f, b²f, abg, ab³g, h, b²h, b⁴h, abi, ab³i, ab⁵i, j, b²j, b⁴j, b⁶j, abk, ab³k, ab⁵k, l, b²l, b⁴l, abm, ab³m, n, b²n, abo, p}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b³ d ab² b² bd e b³ ab³ be f ab⁴ b⁴ bf g b⁵ ab⁵ bg h ab⁶ b⁶ bh i b⁷ ab⁷ bi j ab⁸ b⁸ bj k b⁹ ab⁹ bk l ab¹⁰ b¹⁰ bl m b¹¹ ab¹¹ bm n ab¹² b¹² bn o b¹³ ab¹³ bo p ab¹⁴ b¹⁴ bp q b¹⁵ ab¹⁵ ap

Monoid Structure