Details Page for 0.3571

Complete Solution is Known:

MSV File: q-0.3571.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₃(0.3571):

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, b²⁷=b²⁵, 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=b²⁶, b¹³o=ab²⁵, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=b⁷o, io=ab⁸o, jo=b⁹o, ko=ab¹⁰o, lo=b¹¹o, mo=ab¹²o, no=ab²⁵, o²=b²⁶, b¹²p=ab¹¹o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=ab⁶p, hp=b⁷p, ip=ab⁸p, jp=b⁹p, kp=ab¹⁰p, lp=b¹¹p, mp=b¹¹o, np=ab¹²o, op=ab²⁵, p²=b²⁶, b¹¹q=ab¹⁰p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=b⁵q, gq=ab⁶q, hq=b⁷q, iq=ab⁸q, jq=b⁹q, kq=ab¹⁰q, lq=ab¹⁰p, mq=b¹¹p, nq=b¹¹o, oq=ab¹²o, pq=ab²⁵, q²=b²⁶, b¹⁰r=ab⁹q, cr=ab²r, dr=b³r, er=ab⁴r, fr=b⁵r, gr=ab⁶r, hr=b⁷r, ir=ab⁸r, jr=b⁹r, kr=b⁹q, lr=ab¹⁰q, mr=ab¹⁰p, nr=b¹¹p, or=b¹¹o, pr=ab¹²o, qr=ab²⁵, r²=b²⁶, b⁹s=ab⁸r, cs=ab²s, ds=b³s, es=ab⁴s, fs=b⁵s, gs=ab⁶s, hs=b⁷s, is=ab⁸s, js=ab⁸r, ks=b⁹r, ls=b⁹q, ms=ab¹⁰q, ns=ab¹⁰p, os=b¹¹p, ps=b¹¹o, qs=ab¹²o, rs=ab²⁵, s²=b²⁶, b⁸t=ab⁷s, ct=ab²t, dt=b³t, et=ab⁴t, ft=b⁵t, gt=ab⁶t, ht=b⁷t, it=b⁷s, jt=ab⁸s, kt=ab⁸r, lt=b⁹r, mt=b⁹q, nt=ab¹⁰q, ot=ab¹⁰p, pt=b¹¹p, qt=b¹¹o, rt=ab¹²o, st=ab²⁵, t²=b²⁶, b⁷u=ab⁶t, cu=ab²u, du=b³u, eu=ab⁴u, fu=b⁵u, gu=ab⁶u, hu=ab⁶t, iu=b⁷t, ju=b⁷s, ku=ab⁸s, lu=ab⁸r, mu=b⁹r, nu=b⁹q, ou=ab¹⁰q, pu=ab¹⁰p, qu=b¹¹p, ru=b¹¹o, su=ab¹²o, tu=ab²⁵, u²=b²⁶, b⁶v=ab⁵u, cv=ab²v, dv=b³v, ev=ab⁴v, fv=b⁵v, gv=b⁵u, hv=ab⁶u, iv=ab⁶t, jv=b⁷t, kv=b⁷s, lv=ab⁸s, mv=ab⁸r, nv=b⁹r, ov=b⁹q, pv=ab¹⁰q, qv=ab¹⁰p, rv=b¹¹p, sv=b¹¹o, tv=ab¹²o, uv=ab²⁵, v²=b²⁶, b⁵w=ab⁴v, cw=ab²w, dw=b³w, ew=ab⁴w, fw=ab⁴v, gw=b⁵v, hw=b⁵u, iw=ab⁶u, jw=ab⁶t, kw=b⁷t, lw=b⁷s, mw=ab⁸s, nw=ab⁸r, ow=b⁹r, pw=b⁹q, qw=ab¹⁰q, rw=ab¹⁰p, sw=b¹¹p, tw=b¹¹o, uw=ab¹²o, vw=ab²⁵, w²=b²⁶, b⁴x=ab³w, cx=ab²x, dx=b³x, ex=b³w, fx=ab⁴w, gx=ab⁴v, hx=b⁵v, ix=b⁵u, jx=ab⁶u, kx=ab⁶t, lx=b⁷t, mx=b⁷s, nx=ab⁸s, ox=ab⁸r, px=b⁹r, qx=b⁹q, rx=ab¹⁰q, sx=ab¹⁰p, tx=b¹¹p, ux=b¹¹o, vx=ab¹²o, wx=ab²⁵, x²=b²⁶, b³y=ab²x, cy=ab²y, dy=ab²x, ey=b³x, fy=b³w, gy=ab⁴w, hy=ab⁴v, iy=b⁵v, jy=b⁵u, ky=ab⁶u, ly=ab⁶t, my=b⁷t, ny=b⁷s, oy=ab⁸s, py=ab⁸r, qy=b⁹r, ry=b⁹q, sy=ab¹⁰q, ty=ab¹⁰p, uy=b¹¹p, vy=b¹¹o, wy=ab¹²o, xy=ab²⁵, y²=b²⁶, b³z=by, cz=ab²z, dz=by, ez=ab²y, fz=ab²x, gz=b³x, hz=b³w, iz=ab⁴w, jz=ab⁴v, kz=b⁵v, lz=b⁵u, mz=ab⁶u, nz=ab⁶t, oz=b⁷t, pz=b⁷s, qz=ab⁸s, rz=ab⁸r, sz=b⁹r, tz=b⁹q, uz=ab¹⁰q, vz=ab¹⁰p, wz=b¹¹p, xz=b¹¹o, yz=ab¹²o, z²=b²⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, b²⁶, 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, bz}

Phi = 1 a b a b a b c b c b³ c b³ abd d abd abe e abe abf f abf abg g abg abh h abh abi i abi abj j abj abk k abk abl l abl abm m abm abn n abn abo o abo abp p abp abq q abq abr r abr abs s abs abt t abt abu u abu abv v abv abw w abw abx x abx aby y aby b²z abz b²z abz z abz z

Monoid Structure