Details Page for 0.7561

Complete Solution is Known:

MSV File: q-0.7561.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₆(0.7561):

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 | a²=1, b²⁶=b²⁴, bc=ab³, c²=b⁴, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=ab⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=b³g, eg=ab⁴g, fg=ab¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=ab⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=ab⁴j, fj=b⁵j, gj=ab⁶j, hj=b⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=ab⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=b²¹, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=b⁹l, kl=ab²¹, l²=b²², b¹¹m=ab²³, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=ab⁸m, jm=b⁹m, km=ab¹⁰m, lm=ab²³, m²=b²⁴, b¹²n=b²⁵, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=b⁷n, in=ab⁸n, jn=b⁹n, kn=ab¹⁰n, ln=b¹¹n, mn=ab²⁵, n²=b²⁴, b¹²o=ab¹¹n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=b⁷o, io=ab⁸o, jo=b⁹o, ko=ab¹⁰o, lo=b¹¹o, mo=b¹¹n, no=ab²⁵, o²=b²⁴, b¹¹p=ab¹⁰o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=ab⁶p, hp=b⁷p, ip=ab⁸p, jp=b⁹p, kp=ab¹⁰p, lp=ab¹⁰o, mp=b¹¹o, np=b¹¹n, op=ab²⁵, p²=b²⁴, b¹⁰q=ab⁹p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=b⁵q, gq=ab⁶q, hq=b⁷q, iq=ab⁸q, jq=b⁹q, kq=b⁹p, lq=ab¹⁰p, mq=ab¹⁰o, nq=b¹¹o, oq=b¹¹n, pq=ab²⁵, q²=b²⁴, b⁹r=ab⁸q, cr=ab²r, dr=b³r, er=ab⁴r, fr=b⁵r, gr=ab⁶r, hr=b⁷r, ir=ab⁸r, jr=ab⁸q, kr=b⁹q, lr=b⁹p, mr=ab¹⁰p, nr=ab¹⁰o, or=b¹¹o, pr=b¹¹n, qr=ab²⁵, r²=b²⁴, b⁸s=ab⁷r, cs=ab²s, ds=b³s, es=ab⁴s, fs=b⁵s, gs=ab⁶s, hs=b⁷s, is=b⁷r, js=ab⁸r, ks=ab⁸q, ls=b⁹q, ms=b⁹p, ns=ab¹⁰p, os=ab¹⁰o, ps=b¹¹o, qs=b¹¹n, rs=ab²⁵, s²=b²⁴, b⁷t=ab⁶s, ct=ab²t, dt=b³t, et=ab⁴t, ft=b⁵t, gt=ab⁶t, ht=ab⁶s, it=b⁷s, jt=b⁷r, kt=ab⁸r, lt=ab⁸q, mt=b⁹q, nt=b⁹p, ot=ab¹⁰p, pt=ab¹⁰o, qt=b¹¹o, rt=b¹¹n, st=ab²⁵, t²=b²⁴, b⁶u=ab⁵t, cu=ab²u, du=b³u, eu=ab⁴u, fu=b⁵u, gu=b⁵t, hu=ab⁶t, iu=ab⁶s, ju=b⁷s, ku=b⁷r, lu=ab⁸r, mu=ab⁸q, nu=b⁹q, ou=b⁹p, pu=ab¹⁰p, qu=ab¹⁰o, ru=b¹¹o, su=b¹¹n, tu=ab²⁵, u²=b²⁴, b⁵v=ab⁴u, cv=ab²v, dv=b³v, ev=ab⁴v, fv=ab⁴u, gv=b⁵u, hv=b⁵t, iv=ab⁶t, jv=ab⁶s, kv=b⁷s, lv=b⁷r, mv=ab⁸r, nv=ab⁸q, ov=b⁹q, pv=b⁹p, qv=ab¹⁰p, rv=ab¹⁰o, sv=b¹¹o, tv=b¹¹n, uv=ab²⁵, v²=b²⁴, b⁴w=ab³v, cw=ab²w, dw=b³w, ew=b³v, fw=ab⁴v, gw=ab⁴u, hw=b⁵u, iw=b⁵t, jw=ab⁶t, kw=ab⁶s, lw=b⁷s, mw=b⁷r, nw=ab⁸r, ow=ab⁸q, pw=b⁹q, qw=b⁹p, rw=ab¹⁰p, sw=ab¹⁰o, tw=b¹¹o, uw=b¹¹n, vw=ab²⁵, w²=b²⁴, b³x=ab²w, cx=ab²x, dx=ab²w, ex=b³w, fx=b³v, gx=ab⁴v, hx=ab⁴u, ix=b⁵u, jx=b⁵t, kx=ab⁶t, lx=ab⁶s, mx=b⁷s, nx=b⁷r, ox=ab⁸r, px=ab⁸q, qx=b⁹q, rx=b⁹p, sx=ab¹⁰p, tx=ab¹⁰o, ux=b¹¹o, vx=b¹¹n, wx=ab²⁵, x²=b²⁴, b²y=abx, cy=bx, dy=ab²x, ey=ab²w, fy=b³w, gy=b³v, hy=ab⁴v, iy=ab⁴u, jy=b⁵u, ky=b⁵t, ly=ab⁶t, my=ab⁶s, ny=b⁷s, oy=b⁷r, py=ab⁸r, qy=ab⁸q, ry=b⁹q, sy=b⁹p, ty=ab¹⁰p, uy=ab¹⁰o, vy=b¹¹o, wy=b¹¹n, xy=ab²⁵, y²=b²⁴, bz=ay, cz=by, dz=bx, ez=ab²x, fz=ab²w, gz=b³w, hz=b³v, iz=ab⁴v, jz=ab⁴u, kz=b⁵u, lz=b⁵t, mz=ab⁶t, nz=ab⁶s, oz=b⁷s, pz=b⁷r, qz=ab⁸r, rz=ab⁸q, sz=b⁹q, tz=b⁹p, uz=ab¹⁰p, vz=ab¹⁰o, wz=b¹¹o, xz=b¹¹n, yz=ab²⁵, z²=b²⁴>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, bm, b³m, b⁵m, b⁷m, b⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, ab¹⁰n, bo, b³o, b⁵o, b⁷o, b⁹o, b¹¹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, ab¹⁰p, bq, b³q, b⁵q, b⁷q, b⁹q, ar, ab²r, ab⁴r, ab⁶r, ab⁸r, bs, b³s, b⁵s, b⁷s, at, ab²t, ab⁴t, ab⁶t, bu, b³u, b⁵u, av, ab²v, ab⁴v, bw, b³w, ax, ab²x, by, az}

Phi = 1 a b a b c b c b³ c d abd d e abe e f abf f g abg g h abh h i abi i j abj j k abk k l abl l m abm m n abn n o abo o p abp p q abq q r abr r s abs s t abt t u abu u v abv v w abw w x abx x y aby y z y z

Monoid Structure