Details Page for 0.7032

Complete Solution is Known:

MSV File: q-0.7032.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₂(0.7032):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁸=b¹⁶, 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=ab¹⁷, cj=ab²j, dj=ab³j, ej=b⁴j, fj=ab⁵j, gj=b⁶j, hj=ab⁷j, ij=ab¹⁷, j²=b¹⁶, b⁸k=ab⁷j, ck=ab²k, dk=ab³k, ek=b⁴k, fk=ab⁵k, gk=b⁶k, hk=ab⁷k, ik=ab⁷j, jk=ab¹⁷, k²=b¹⁶, b⁷l=ab⁶k, cl=ab²l, dl=ab³l, el=b⁴l, fl=ab⁵l, gl=b⁶l, hl=b⁶k, il=ab⁷k, jl=ab⁷j, kl=ab¹⁷, l²=b¹⁶, b⁶m=ab⁵l, cm=ab²m, dm=ab³m, em=b⁴m, fm=ab⁵m, gm=ab⁵l, hm=b⁶l, im=b⁶k, jm=ab⁷k, km=ab⁷j, lm=ab¹⁷, m²=b¹⁶, b⁵n=ab⁴m, cn=ab²n, dn=ab³n, en=b⁴n, fn=b⁴m, gn=ab⁵m, hn=ab⁵l, in=b⁶l, jn=b⁶k, kn=ab⁷k, ln=ab⁷j, mn=ab¹⁷, n²=b¹⁶, b⁴o=ab³n, co=ab²o, do=ab³o, eo=ab³n, fo=b⁴n, go=b⁴m, ho=ab⁵m, io=ab⁵l, jo=b⁶l, ko=b⁶k, lo=ab⁷k, mo=ab⁷j, no=ab¹⁷, o²=b¹⁶, b³p=ab²o, cp=ab²p, dp=b²o, ep=ab³o, fp=ab³n, gp=b⁴n, hp=b⁴m, ip=ab⁵m, jp=ab⁵l, kp=b⁶l, lp=b⁶k, mp=ab⁷k, np=ab⁷j, op=ab¹⁷, p²=b¹⁶, b²q=abp, cq=bp, dq=b²p, eq=b²o, fq=ab³o, gq=ab³n, hq=b⁴n, iq=b⁴m, jq=ab⁵m, kq=ab⁵l, lq=b⁶l, mq=b⁶k, nq=ab⁷k, oq=ab⁷j, pq=ab¹⁷, q²=b¹⁶, br=aq, cr=bq, dr=abp, er=b²p, fr=b²o, gr=ab³o, hr=ab³n, ir=b⁴n, jr=b⁴m, kr=ab⁵m, lr=ab⁵l, mr=b⁶l, nr=b⁶k, or=ab⁷k, pr=ab⁷j, qr=ab¹⁷, r²=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, ab⁷k, l, b²l, b⁴l, b⁶l, abm, ab³m, ab⁵m, n, b²n, b⁴n, abo, ab³o, p, b²p, abq, r}

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 bq r ab¹⁶ b¹⁶ aq

Monoid Structure