Details Page for 0.7123

Complete Solution is Known:

MSV File: q-0.7123.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀₄(0.7123):

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,z,A | a²=1, b²⁷=b²⁵, bc=b³, c²=b⁴, b²d=b⁵, cd=b⁵, d²=b⁶, b³e=b⁷, ce=b²e, de=b⁷, e²=b⁸, b⁴f=b⁹, cf=b²f, df=b³f, ef=b⁹, f²=b¹⁰, b⁵g=b¹¹, cg=b²g, dg=b³g, eg=b⁴g, fg=b¹¹, g²=b¹², b⁶h=b¹³, ch=b²h, dh=b³h, eh=b⁴h, fh=b⁵h, gh=b¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=b²i, di=b³i, ei=b⁴i, fi=b⁵i, gi=b⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=b²j, dj=b³j, ej=b⁴j, fj=b⁵j, gj=b⁶j, hj=b⁷j, ij=b¹⁷, j²=b¹⁸, b⁹k=b¹⁹, ck=b²k, dk=b³k, ek=b⁴k, fk=b⁵k, gk=b⁶k, hk=b⁷k, ik=b⁸k, jk=b¹⁹, k²=b²⁰, b¹⁰l=b²¹, cl=b²l, dl=b³l, el=b⁴l, fl=b⁵l, gl=b⁶l, hl=b⁷l, il=b⁸l, jl=b⁹l, kl=b²¹, l²=b²², b¹¹m=b²³, cm=b²m, dm=b³m, em=b⁴m, fm=b⁵m, gm=b⁶m, hm=b⁷m, im=b⁸m, jm=b⁹m, km=b¹⁰m, lm=b²³, m²=b²⁴, b¹²n=b²⁵, cn=b²n, dn=b³n, en=b⁴n, fn=b⁵n, gn=b⁶n, hn=b⁷n, in=b⁸n, jn=b⁹n, kn=b¹⁰n, ln=b¹¹n, mn=b²⁵, n²=b²⁶, b¹³o=b²⁵, co=b²o, do=b³o, eo=b⁴o, fo=b⁵o, go=b⁶o, ho=b⁷o, io=b⁸o, jo=b⁹o, ko=b¹⁰o, lo=b¹¹o, mo=b¹²o, no=b²⁵, o²=b²⁶, b¹²p=b¹¹o, cp=b²p, dp=b³p, ep=b⁴p, fp=b⁵p, gp=b⁶p, hp=b⁷p, ip=b⁸p, jp=b⁹p, kp=b¹⁰p, lp=b¹¹p, mp=b¹¹o, np=b¹²o, op=b²⁵, p²=b²⁶, b¹¹q=b¹⁰p, cq=b²q, dq=b³q, eq=b⁴q, fq=b⁵q, gq=b⁶q, hq=b⁷q, iq=b⁸q, jq=b⁹q, kq=b¹⁰q, lq=b¹⁰p, mq=b¹¹p, nq=b¹¹o, oq=b¹²o, pq=b²⁵, q²=b²⁶, b¹⁰r=b⁹q, cr=b²r, dr=b³r, er=b⁴r, fr=b⁵r, gr=b⁶r, hr=b⁷r, ir=b⁸r, jr=b⁹r, kr=b⁹q, lr=b¹⁰q, mr=b¹⁰p, nr=b¹¹p, or=b¹¹o, pr=b¹²o, qr=b²⁵, r²=b²⁶, b⁹s=b⁸r, cs=b²s, ds=b³s, es=b⁴s, fs=b⁵s, gs=b⁶s, hs=b⁷s, is=b⁸s, js=b⁸r, ks=b⁹r, ls=b⁹q, ms=b¹⁰q, ns=b¹⁰p, os=b¹¹p, ps=b¹¹o, qs=b¹²o, rs=b²⁵, s²=b²⁶, b⁸t=b⁷s, ct=b²t, dt=b³t, et=b⁴t, ft=b⁵t, gt=b⁶t, ht=b⁷t, it=b⁷s, jt=b⁸s, kt=b⁸r, lt=b⁹r, mt=b⁹q, nt=b¹⁰q, ot=b¹⁰p, pt=b¹¹p, qt=b¹¹o, rt=b¹²o, st=b²⁵, t²=b²⁶, b⁷u=b⁶t, cu=b²u, du=b³u, eu=b⁴u, fu=b⁵u, gu=b⁶u, hu=b⁶t, iu=b⁷t, ju=b⁷s, ku=b⁸s, lu=b⁸r, mu=b⁹r, nu=b⁹q, ou=b¹⁰q, pu=b¹⁰p, qu=b¹¹p, ru=b¹¹o, su=b¹²o, tu=b²⁵, u²=b²⁶, b⁶v=b⁵u, cv=b²v, dv=b³v, ev=b⁴v, fv=b⁵v, gv=b⁵u, hv=b⁶u, iv=b⁶t, jv=b⁷t, kv=b⁷s, lv=b⁸s, mv=b⁸r, nv=b⁹r, ov=b⁹q, pv=b¹⁰q, qv=b¹⁰p, rv=b¹¹p, sv=b¹¹o, tv=b¹²o, uv=b²⁵, v²=b²⁶, b⁵w=b⁴v, cw=b²w, dw=b³w, ew=b⁴w, fw=b⁴v, gw=b⁵v, hw=b⁵u, iw=b⁶u, jw=b⁶t, kw=b⁷t, lw=b⁷s, mw=b⁸s, nw=b⁸r, ow=b⁹r, pw=b⁹q, qw=b¹⁰q, rw=b¹⁰p, sw=b¹¹p, tw=b¹¹o, uw=b¹²o, vw=b²⁵, w²=b²⁶, b⁴x=b³w, cx=b²x, dx=b³x, ex=b³w, fx=b⁴w, gx=b⁴v, hx=b⁵v, ix=b⁵u, jx=b⁶u, kx=b⁶t, lx=b⁷t, mx=b⁷s, nx=b⁸s, ox=b⁸r, px=b⁹r, qx=b⁹q, rx=b¹⁰q, sx=b¹⁰p, tx=b¹¹p, ux=b¹¹o, vx=b¹²o, wx=b²⁵, x²=b²⁶, b³y=b²x, cy=b²y, dy=b²x, ey=b³x, fy=b³w, gy=b⁴w, hy=b⁴v, iy=b⁵v, jy=b⁵u, ky=b⁶u, ly=b⁶t, my=b⁷t, ny=b⁷s, oy=b⁸s, py=b⁸r, qy=b⁹r, ry=b⁹q, sy=b¹⁰q, ty=b¹⁰p, uy=b¹¹p, vy=b¹¹o, wy=b¹²o, xy=b²⁵, y²=b²⁶, b²z=by, cz=by, dz=b²y, ez=b²x, fz=b³x, gz=b³w, hz=b⁴w, iz=b⁴v, jz=b⁵v, kz=b⁵u, lz=b⁶u, mz=b⁶t, nz=b⁷t, oz=b⁷s, pz=b⁸s, qz=b⁸r, rz=b⁹r, sz=b⁹q, tz=b¹⁰q, uz=b¹⁰p, vz=b¹¹p, wz=b¹¹o, xz=b¹²o, yz=b²⁵, z²=b²⁶, bA=z, cA=bz, dA=by, eA=b²y, fA=b²x, gA=b³x, hA=b³w, iA=b⁴w, jA=b⁴v, kA=b⁵v, lA=b⁵u, mA=b⁶u, nA=b⁶t, oA=b⁷t, pA=b⁷s, qA=b⁸s, rA=b⁸r, sA=b⁹r, tA=b⁹q, uA=b¹⁰q, vA=b¹⁰p, wA=b¹¹p, xA=b¹¹o, yA=b¹²o, zA=b²⁵, A²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, d, be, f, b²f, bg, b³g, h, b²h, b⁴h, bi, b³i, b⁵i, j, b²j, b⁴j, b⁶j, bk, b³k, b⁵k, b⁷k, l, b²l, b⁴l, b⁶l, b⁸l, bm, b³m, b⁵m, b⁷m, b⁹m, n, b²n, b⁴n, b⁶n, b⁸n, b¹⁰n, bo, b³o, b⁵o, b⁷o, b⁹o, b¹¹o, p, b²p, b⁴p, b⁶p, b⁸p, b¹⁰p, bq, b³q, b⁵q, b⁷q, b⁹q, r, b²r, b⁴r, b⁶r, b⁸r, bs, b³s, b⁵s, b⁷s, t, b²t, b⁴t, b⁶t, bu, b³u, b⁵u, v, b²v, b⁴v, bw, b³w, x, b²x, by, z}

Phi = 1 a b a b ab 1 ab c ac b ab² d ab³ b² ab³ e ab⁴ b³ ab⁴ f ab⁵ b⁴ ab⁵ g ab⁶ b⁵ ab⁶ h ab⁷ b⁶ ab⁷ i ab⁸ b⁷ ab⁸ j ab⁹ b⁸ ab⁹ k ab¹⁰ b⁹ ab¹⁰ l ab¹¹ b¹⁰ ab¹¹ m ab¹² b¹¹ ab¹² n ab¹³ b¹² ab¹³ o ab¹⁴ b¹³ ab¹⁴ p ab¹⁵ b¹⁴ ab¹⁵ q ab¹⁶ b¹⁵ ab¹⁶ r ab¹⁷ b¹⁶ ab¹⁷ s ab¹⁸ b¹⁷ ab¹⁸ t ab¹⁹ b¹⁸ ab¹⁹ u ab²⁰ b¹⁹ ab²⁰ v ab²¹ b²⁰ ab²¹ w ab²² b²¹ ab²² x ab²³ b²² ab²³ y ab²⁴ b²³ ab²⁴ z ab²⁵ b²⁴ ab²⁵ A ab²⁶ b²⁵ ab²⁶

Monoid Structure