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 Q₁₀₀(0.7022):

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, b²⁵=b²³, 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=b¹⁸, b⁹k=b¹⁹, ck=ab²k, dk=ab³k, ek=b⁴k, fk=ab⁵k, gk=b⁶k, hk=ab⁷k, ik=b⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=ab²¹, cl=ab²l, dl=ab³l, el=b⁴l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=b⁸l, jl=ab⁹l, kl=ab²¹, l²=b²², b¹¹m=b²³, cm=ab²m, dm=ab³m, em=b⁴m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=b⁸m, jm=ab⁹m, km=b¹⁰m, lm=ab²³, m²=b²⁴, b¹²n=ab²³, cn=ab²n, dn=ab³n, en=b⁴n, fn=ab⁵n, gn=b⁶n, hn=ab⁷n, in=b⁸n, jn=ab⁹n, kn=b¹⁰n, ln=ab¹¹n, mn=ab²³, n²=b²⁴, b¹¹o=ab¹⁰n, co=ab²o, do=ab³o, eo=b⁴o, fo=ab⁵o, go=b⁶o, ho=ab⁷o, io=b⁸o, jo=ab⁹o, ko=b¹⁰o, lo=b¹⁰n, mo=ab¹¹n, no=ab²³, o²=b²⁴, b¹⁰p=ab⁹o, cp=ab²p, dp=ab³p, ep=b⁴p, fp=ab⁵p, gp=b⁶p, hp=ab⁷p, ip=b⁸p, jp=ab⁹p, kp=ab⁹o, lp=b¹⁰o, mp=b¹⁰n, np=ab¹¹n, op=ab²³, p²=b²⁴, b⁹q=ab⁸p, cq=ab²q, dq=ab³q, eq=b⁴q, fq=ab⁵q, gq=b⁶q, hq=ab⁷q, iq=b⁸q, jq=b⁸p, kq=ab⁹p, lq=ab⁹o, mq=b¹⁰o, nq=b¹⁰n, oq=ab¹¹n, pq=ab²³, q²=b²⁴, b⁸r=ab⁷q, cr=ab²r, dr=ab³r, er=b⁴r, fr=ab⁵r, gr=b⁶r, hr=ab⁷r, ir=ab⁷q, jr=b⁸q, kr=b⁸p, lr=ab⁹p, mr=ab⁹o, nr=b¹⁰o, or=b¹⁰n, pr=ab¹¹n, qr=ab²³, r²=b²⁴, b⁷s=ab⁶r, cs=ab²s, ds=ab³s, es=b⁴s, fs=ab⁵s, gs=b⁶s, hs=b⁶r, is=ab⁷r, js=ab⁷q, ks=b⁸q, ls=b⁸p, ms=ab⁹p, ns=ab⁹o, os=b¹⁰o, ps=b¹⁰n, qs=ab¹¹n, rs=ab²³, s²=b²⁴, b⁶t=ab⁵s, ct=ab²t, dt=ab³t, et=b⁴t, ft=ab⁵t, gt=ab⁵s, ht=b⁶s, it=b⁶r, jt=ab⁷r, kt=ab⁷q, lt=b⁸q, mt=b⁸p, nt=ab⁹p, ot=ab⁹o, pt=b¹⁰o, qt=b¹⁰n, rt=ab¹¹n, st=ab²³, t²=b²⁴, b⁵u=ab⁴t, cu=ab²u, du=ab³u, eu=b⁴u, fu=b⁴t, gu=ab⁵t, hu=ab⁵s, iu=b⁶s, ju=b⁶r, ku=ab⁷r, lu=ab⁷q, mu=b⁸q, nu=b⁸p, ou=ab⁹p, pu=ab⁹o, qu=b¹⁰o, ru=b¹⁰n, su=ab¹¹n, tu=ab²³, u²=b²⁴, b⁴v=ab³u, cv=ab²v, dv=ab³v, ev=ab³u, fv=b⁴u, gv=b⁴t, hv=ab⁵t, iv=ab⁵s, jv=b⁶s, kv=b⁶r, lv=ab⁷r, mv=ab⁷q, nv=b⁸q, ov=b⁸p, pv=ab⁹p, qv=ab⁹o, rv=b¹⁰o, sv=b¹⁰n, tv=ab¹¹n, uv=ab²³, v²=b²⁴, b³w=ab²v, cw=ab²w, dw=b²v, ew=ab³v, fw=ab³u, gw=b⁴u, hw=b⁴t, iw=ab⁵t, jw=ab⁵s, kw=b⁶s, lw=b⁶r, mw=ab⁷r, nw=ab⁷q, ow=b⁸q, pw=b⁸p, qw=ab⁹p, rw=ab⁹o, sw=b¹⁰o, tw=b¹⁰n, uw=ab¹¹n, vw=ab²³, w²=b²⁴, b²x=abw, cx=bw, dx=b²w, ex=b²v, fx=ab³v, gx=ab³u, hx=b⁴u, ix=b⁴t, jx=ab⁵t, kx=ab⁵s, lx=b⁶s, mx=b⁶r, nx=ab⁷r, ox=ab⁷q, px=b⁸q, qx=b⁸p, rx=ab⁹p, sx=ab⁹o, tx=b¹⁰o, ux=b¹⁰n, vx=ab¹¹n, wx=ab²³, x²=b²⁴, by=ax, cy=bx, dy=abw, ey=b²w, fy=b²v, gy=ab³v, hy=ab³u, iy=b⁴u, jy=b⁴t, ky=ab⁵t, ly=ab⁵s, my=b⁶s, ny=b⁶r, oy=ab⁷r, py=ab⁷q, qy=b⁸q, ry=b⁸p, sy=ab⁹p, ty=ab⁹o, uy=b¹⁰o, vy=b¹⁰n, wy=ab¹¹n, xy=ab²³, y²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, d, abe, f, b²f, abg, ab³g, h, b²h, b⁴h, abi, ab³i, ab⁵i, j, b²j, b⁴j, b⁶j, abk, ab³k, ab⁵k, ab⁷k, l, b²l, b⁴l, b⁶l, b⁸l, abm, ab³m, ab⁵m, ab⁷m, ab⁹m, n, b²n, b⁴n, b⁶n, b⁸n, b¹⁰n, abo, ab³o, ab⁵o, ab⁷o, ab⁹o, p, b²p, b⁴p, b⁶p, b⁸p, abq, ab³q, ab⁵q, ab⁷q, r, b²r, b⁴r, b⁶r, abs, ab³s, ab⁵s, t, b²t, b⁴t, abu, ab³u, v, b²v, abw, x}

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 br s b¹⁷ ab¹⁷ bs t ab¹⁸ b¹⁸ bt u b¹⁹ ab¹⁹ bu v ab²⁰ b²⁰ bv w b²¹ ab²¹ bw x ab²² b²² bx y b²³ ab²³ ax

Monoid Structure