Details Page for 0.7073

Complete Solution is Known:

MSV File: q-0.7073.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₅(0.7073):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a²=1, b¹⁹=b¹⁷, bc=ab³, c²=b⁴, b²d=ab⁵, cd=b⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=ab⁹, cf=ab²f, df=ab³f, ef=b⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=ab³g, eg=ab⁴g, fg=b¹¹, g²=b¹², b⁶h=ab¹³, ch=ab²h, dh=ab³h, eh=ab⁴h, fh=ab⁵h, gh=b¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=ab³i, ei=ab⁴i, fi=ab⁵i, gi=ab⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=ab¹⁷, cj=ab²j, dj=ab³j, ej=ab⁴j, fj=ab⁵j, gj=ab⁶j, hj=ab⁷j, ij=b¹⁷, j²=b¹⁸, b⁹k=ab¹⁷, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁶k, hk=ab⁷k, ik=ab⁸k, jk=b¹⁷, k²=b¹⁸, b⁸l=b⁷k, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁶l, hl=ab⁷l, il=ab⁷k, jl=ab⁸k, kl=b¹⁷, l²=b¹⁸, b⁷m=b⁶l, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁵m, gm=ab⁶m, hm=ab⁶l, im=ab⁷l, jm=ab⁷k, km=ab⁸k, lm=b¹⁷, m²=b¹⁸, b⁶n=b⁵m, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁵m, hn=ab⁶m, in=ab⁶l, jn=ab⁷l, kn=ab⁷k, ln=ab⁸k, mn=b¹⁷, n²=b¹⁸, b⁵o=b⁴n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁴n, go=ab⁵n, ho=ab⁵m, io=ab⁶m, jo=ab⁶l, ko=ab⁷l, lo=ab⁷k, mo=ab⁸k, no=b¹⁷, o²=b¹⁸, b⁴p=b³o, cp=ab²p, dp=ab³p, ep=ab³o, fp=ab⁴o, gp=ab⁴n, hp=ab⁵n, ip=ab⁵m, jp=ab⁶m, kp=ab⁶l, lp=ab⁷l, mp=ab⁷k, np=ab⁸k, op=b¹⁷, p²=b¹⁸, b³q=b²p, cq=ab²q, dq=ab²p, eq=ab³p, fq=ab³o, gq=ab⁴o, hq=ab⁴n, iq=ab⁵n, jq=ab⁵m, kq=ab⁶m, lq=ab⁶l, mq=ab⁷l, nq=ab⁷k, oq=ab⁸k, pq=b¹⁷, q²=b¹⁸, b²r=bq, cr=abq, dr=ab²q, er=ab²p, fr=ab³p, gr=ab³o, hr=ab⁴o, ir=ab⁴n, jr=ab⁵n, kr=ab⁵m, lr=ab⁶m, mr=ab⁶l, nr=ab⁷l, or=ab⁷k, pr=ab⁸k, qr=b¹⁷, r²=b¹⁸, bs=r, cs=abr, ds=abq, es=ab²q, fs=ab²p, gs=ab³p, hs=ab³o, is=ab⁴o, js=ab⁴n, ks=ab⁵n, ls=ab⁵m, ms=ab⁶m, ns=ab⁶l, os=ab⁷l, ps=ab⁷k, qs=ab⁸k, rs=b¹⁷, s²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, ab⁷k, al, ab²l, ab⁴l, ab⁶l, abm, ab³m, ab⁵m, an, ab²n, ab⁴n, abo, ab³o, ap, ab²p, abq, ar}

Phi = 1 a 1 a b ab b ab 1 c ac c b ab³ b³ d b² bd b⁴ e b³ be b⁵ f b⁴ bf b⁶ g b⁵ bg b⁷ h b⁶ bh b⁸ i b⁷ bi b⁹ j b⁸ bj b¹⁰ k b⁹ bk b¹¹ l b¹⁰ bl b¹² m b¹¹ bm b¹³ n b¹² bn b¹⁴ o b¹³ bo b¹⁵ p b¹⁴ bp b¹⁶ q b¹⁵ bq b¹⁷ r b¹⁶ br b¹⁸ s b¹⁷ r b¹⁷

Monoid Structure