Details Page for 0.7072

Complete Solution is Known:

MSV File: q-0.7072.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀₄(0.7072):

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,y | a²=1, b²⁴=b²², bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=ab⁷, ce=b⁷, de=b⁹, e²=b¹⁰, b³f=b⁹, cf=ab²f, df=ab¹⁰, ef=ab¹¹, f²=b¹², b⁴g=ab¹¹, cg=ab²g, dg=b¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=b¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=ab¹⁵, ci=ab²i, di=ab⁴i, ei=ab⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=b¹⁷, cj=ab²j, dj=ab⁴j, ej=ab⁵j, fj=b⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b²⁰, b⁸k=ab¹⁹, ck=ab²k, dk=ab⁴k, ek=ab⁵k, fk=b⁶k, gk=ab⁷k, hk=ab¹⁹, ik=b²⁰, jk=ab²¹, k²=b²², b⁹l=b²¹, cl=ab²l, dl=ab⁴l, el=ab⁵l, fl=b⁶l, gl=ab⁷l, hl=b⁸l, il=ab²¹, jl=b²², kl=ab²³, l²=b²², b¹⁰m=ab²³, cm=ab²m, dm=ab⁴m, em=ab⁵m, fm=b⁶m, gm=ab⁷m, hm=b⁸m, im=ab⁹m, jm=ab²³, km=b²², lm=ab²³, m²=b²², b¹⁰n=ab⁹m, cn=ab²n, dn=ab⁴n, en=ab⁵n, fn=b⁶n, gn=ab⁷n, hn=b⁸n, in=ab⁹n, jn=ab⁹m, kn=ab²³, ln=b²², mn=ab²³, n²=b²², b⁹o=ab⁸n, co=ab²o, do=ab⁴o, eo=ab⁵o, fo=b⁶o, go=ab⁷o, ho=b⁸o, io=b⁸n, jo=ab⁹n, ko=ab⁹m, lo=ab²³, mo=b²², no=ab²³, o²=b²², b⁸p=ab⁷o, cp=ab²p, dp=ab⁴p, ep=ab⁵p, fp=b⁶p, gp=ab⁷p, hp=ab⁷o, ip=b⁸o, jp=b⁸n, kp=ab⁹n, lp=ab⁹m, mp=ab²³, np=b²², op=ab²³, p²=b²², b⁷q=ab⁶p, cq=ab²q, dq=ab⁴q, eq=ab⁵q, fq=b⁶q, gq=b⁶p, hq=ab⁷p, iq=ab⁷o, jq=b⁸o, kq=b⁸n, lq=ab⁹n, mq=ab⁹m, nq=ab²³, oq=b²², pq=ab²³, q²=b²², b⁶r=ab⁵q, cr=ab²r, dr=ab⁴r, er=ab⁵r, fr=ab⁵q, gr=b⁶q, hr=b⁶p, ir=ab⁷p, jr=ab⁷o, kr=b⁸o, lr=b⁸n, mr=ab⁹n, nr=ab⁹m, or=ab²³, pr=b²², qr=ab²³, r²=b²², b⁵s=ab⁴r, cs=ab²s, ds=ab⁴s, es=b⁴r, fs=ab⁵r, gs=ab⁵q, hs=b⁶q, is=b⁶p, js=ab⁷p, ks=ab⁷o, ls=b⁸o, ms=b⁸n, ns=ab⁹n, os=ab⁹m, ps=ab²³, qs=b²², rs=ab²³, s²=b²², b⁴t=ab³s, ct=ab²t, dt=b³s, et=b⁴s, ft=b⁴r, gt=ab⁵r, ht=ab⁵q, it=b⁶q, jt=b⁶p, kt=ab⁷p, lt=ab⁷o, mt=b⁸o, nt=b⁸n, ot=ab⁹n, pt=ab⁹m, qt=ab²³, rt=b²², st=ab²³, t²=b²², b³u=ab²t, cu=ab²u, du=b³t, eu=ab³s, fu=b⁴s, gu=b⁴r, hu=ab⁵r, iu=ab⁵q, ju=b⁶q, ku=b⁶p, lu=ab⁷p, mu=ab⁷o, nu=b⁸o, ou=b⁸n, pu=ab⁹n, qu=ab⁹m, ru=ab²³, su=b²², tu=ab²³, u²=b²², b²v=abu, cv=bu, dv=ab²t, ev=ab³t, fv=ab³s, gv=b⁴s, hv=b⁴r, iv=ab⁵r, jv=ab⁵q, kv=b⁶q, lv=b⁶p, mv=ab⁷p, nv=ab⁷o, ov=b⁸o, pv=b⁸n, qv=ab⁹n, rv=ab⁹m, sv=ab²³, tv=b²², uv=ab²³, v²=b²², bw=av, cw=bv, dw=ab²u, ew=b²t, fw=ab³t, gw=ab³s, hw=b⁴s, iw=b⁴r, jw=ab⁵r, kw=ab⁵q, lw=b⁶q, mw=b⁶p, nw=ab⁷p, ow=ab⁷o, pw=b⁸o, qw=b⁸n, rw=ab⁹n, sw=ab⁹m, tw=ab²³, uw=b²², vw=ab²³, w²=b²², bx=aw, cx=av, dx=bu, ex=b²u, fx=b²t, gx=ab³t, hx=ab³s, ix=b⁴s, jx=b⁴r, kx=ab⁵r, lx=ab⁵q, mx=b⁶q, nx=b⁶p, ox=ab⁷p, px=ab⁷o, qx=b⁸o, rx=b⁸n, sx=ab⁹n, tx=ab⁹m, ux=ab²³, vx=b²², wx=ab²³, x²=b²², by=ax, cy=aw, dy=bv, ey=abu, fy=b²u, gy=b²t, hy=ab³t, iy=ab³s, jy=b⁴s, ky=b⁴r, ly=ab⁵r, my=ab⁵q, ny=b⁶q, oy=b⁶p, py=ab⁷p, qy=ab⁷o, ry=b⁸o, sy=b⁸n, ty=ab⁹n, uy=ab⁹m, vy=ab²³, wy=b²², xy=ab²³, y²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², e, abf, g, b²g, abh, ab³h, i, b²i, b⁴i, abj, ab³j, ab⁵j, k, b²k, b⁴k, b⁶k, abl, ab³l, ab⁵l, ab⁷l, m, b²m, b⁴m, b⁶m, b⁸m, abn, ab³n, ab⁵n, ab⁷n, ab⁹n, o, b²o, b⁴o, b⁶o, b⁸o, abp, ab³p, ab⁵p, ab⁷p, q, b²q, b⁴q, b⁶q, abr, ab³r, ab⁵r, s, b²s, b⁴s, abt, ab³t, u, b²u, abv, w, y}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b³ ab³ c b² d ad b³ ab³ b⁵ e ab⁴ b⁴ ab⁶ f b⁵ ab⁵ b⁷ g ab⁶ b⁶ ab⁸ h b⁷ ab⁷ b⁹ i ab⁸ b⁸ ab¹⁰ j b⁹ ab⁹ b¹¹ k ab¹⁰ b¹⁰ ab¹² l b¹¹ ab¹¹ b¹³ m ab¹² b¹² ab¹⁴ n b¹³ ab¹³ b¹⁵ o ab¹⁴ b¹⁴ ab¹⁶ p b¹⁵ ab¹⁵ b¹⁷ q ab¹⁶ b¹⁶ ab¹⁸ r b¹⁷ ab¹⁷ b¹⁹ s ab¹⁸ b¹⁸ ab²⁰ t b¹⁹ ab¹⁹ b²¹ u ab²⁰ b²⁰ ab²² v b²¹ ab²¹ b²³ w ab²² b²² ab²² x b²³ ab²³ b²³ y ab²² b²² ab²²

Monoid Structure