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 Q₉₅(0.7073):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x | a²=1, b²⁴=b²², 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=ab¹⁹, ck=ab²k, dk=ab³k, ek=ab⁴k, fk=ab⁵k, gk=ab⁶k, hk=ab⁷k, ik=ab⁸k, jk=b¹⁹, k²=b²⁰, b¹⁰l=ab²¹, cl=ab²l, dl=ab³l, el=ab⁴l, fl=ab⁵l, gl=ab⁶l, hl=ab⁷l, il=ab⁸l, jl=ab⁹l, kl=b²¹, l²=b²², b¹¹m=ab²³, cm=ab²m, dm=ab³m, em=ab⁴m, fm=ab⁵m, gm=ab⁶m, hm=ab⁷m, im=ab⁸m, jm=ab⁹m, km=ab¹⁰m, lm=b²³, m²=b²², b¹¹n=b¹⁰m, cn=ab²n, dn=ab³n, en=ab⁴n, fn=ab⁵n, gn=ab⁶n, hn=ab⁷n, in=ab⁸n, jn=ab⁹n, kn=ab¹⁰n, ln=ab¹⁰m, mn=b²³, n²=b²², b¹⁰o=b⁹n, co=ab²o, do=ab³o, eo=ab⁴o, fo=ab⁵o, go=ab⁶o, ho=ab⁷o, io=ab⁸o, jo=ab⁹o, ko=ab⁹n, lo=ab¹⁰n, mo=ab¹⁰m, no=b²³, o²=b²², b⁹p=b⁸o, cp=ab²p, dp=ab³p, ep=ab⁴p, fp=ab⁵p, gp=ab⁶p, hp=ab⁷p, ip=ab⁸p, jp=ab⁸o, kp=ab⁹o, lp=ab⁹n, mp=ab¹⁰n, np=ab¹⁰m, op=b²³, p²=b²², b⁸q=b⁷p, cq=ab²q, dq=ab³q, eq=ab⁴q, fq=ab⁵q, gq=ab⁶q, hq=ab⁷q, iq=ab⁷p, jq=ab⁸p, kq=ab⁸o, lq=ab⁹o, mq=ab⁹n, nq=ab¹⁰n, oq=ab¹⁰m, pq=b²³, q²=b²², b⁷r=b⁶q, cr=ab²r, dr=ab³r, er=ab⁴r, fr=ab⁵r, gr=ab⁶r, hr=ab⁶q, ir=ab⁷q, jr=ab⁷p, kr=ab⁸p, lr=ab⁸o, mr=ab⁹o, nr=ab⁹n, or=ab¹⁰n, pr=ab¹⁰m, qr=b²³, r²=b²², b⁶s=b⁵r, cs=ab²s, ds=ab³s, es=ab⁴s, fs=ab⁵s, gs=ab⁵r, hs=ab⁶r, is=ab⁶q, js=ab⁷q, ks=ab⁷p, ls=ab⁸p, ms=ab⁸o, ns=ab⁹o, os=ab⁹n, ps=ab¹⁰n, qs=ab¹⁰m, rs=b²³, s²=b²², b⁵t=b⁴s, ct=ab²t, dt=ab³t, et=ab⁴t, ft=ab⁴s, gt=ab⁵s, ht=ab⁵r, it=ab⁶r, jt=ab⁶q, kt=ab⁷q, lt=ab⁷p, mt=ab⁸p, nt=ab⁸o, ot=ab⁹o, pt=ab⁹n, qt=ab¹⁰n, rt=ab¹⁰m, st=b²³, t²=b²², b⁴u=b³t, cu=ab²u, du=ab³u, eu=ab³t, fu=ab⁴t, gu=ab⁴s, hu=ab⁵s, iu=ab⁵r, ju=ab⁶r, ku=ab⁶q, lu=ab⁷q, mu=ab⁷p, nu=ab⁸p, ou=ab⁸o, pu=ab⁹o, qu=ab⁹n, ru=ab¹⁰n, su=ab¹⁰m, tu=b²³, u²=b²², b³v=b²u, cv=ab²v, dv=ab²u, ev=ab³u, fv=ab³t, gv=ab⁴t, hv=ab⁴s, iv=ab⁵s, jv=ab⁵r, kv=ab⁶r, lv=ab⁶q, mv=ab⁷q, nv=ab⁷p, ov=ab⁸p, pv=ab⁸o, qv=ab⁹o, rv=ab⁹n, sv=ab¹⁰n, tv=ab¹⁰m, uv=b²³, v²=b²², b²w=bv, cw=abv, dw=ab²v, ew=ab²u, fw=ab³u, gw=ab³t, hw=ab⁴t, iw=ab⁴s, jw=ab⁵s, kw=ab⁵r, lw=ab⁶r, mw=ab⁶q, nw=ab⁷q, ow=ab⁷p, pw=ab⁸p, qw=ab⁸o, rw=ab⁹o, sw=ab⁹n, tw=ab¹⁰n, uw=ab¹⁰m, vw=b²³, w²=b²², bx=w, cx=abw, dx=abv, ex=ab²v, fx=ab²u, gx=ab³u, hx=ab³t, ix=ab⁴t, jx=ab⁴s, kx=ab⁵s, lx=ab⁵r, mx=ab⁶r, nx=ab⁶q, ox=ab⁷q, px=ab⁷p, qx=ab⁸p, rx=ab⁸o, sx=ab⁹o, tx=ab⁹n, ux=ab¹⁰n, vx=ab¹⁰m, wx=b²³, x²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², ad, abe, af, ab²f, abg, ab³g, ah, ab²h, ab⁴h, abi, ab³i, ab⁵i, aj, ab²j, ab⁴j, ab⁶j, abk, ab³k, ab⁵k, ab⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, abm, ab³m, ab⁵m, ab⁷m, ab⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, ab¹⁰n, abo, ab³o, ab⁵o, ab⁷o, ab⁹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, abq, ab³q, ab⁵q, ab⁷q, ar, ab²r, ab⁴r, ab⁶r, abs, ab³s, ab⁵s, at, ab²t, ab⁴t, abu, ab³u, av, ab²v, abw, ax}

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 bs b¹⁹ t b¹⁸ bt b²⁰ u b¹⁹ bu b²¹ v b²⁰ bv b²² w b²¹ bw b²³ x b²² w b²²

Monoid Structure