Details Page for 0.7261

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   490
P-Portion Size:   122
Tame?   No

MSV File: q-0.7261.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
982
16123
18184
20225
22286
24348
26429
285012
306013
327017
348218
369423
3810824
4012230
4213831
4415438
4617239
4819047
5021048
5223057
5425258
5627468
5829869
6032280
6234881
6437493
6640294
68430107
70460108
72490122

(Click on a heap to see details)

Details for Q72(0.7261):

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,B,C,D | a2=1, b32=b30, 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=b24, b10m=ab23, cm=ab2m, dm=ab4m, em=ab5m, fm=b6m, gm=ab7m, hm=b8m, im=ab9m, jm=ab23, km=b24, lm=ab25, m2=b26, b11n=b25, cn=ab2n, dn=ab4n, en=ab5n, fn=b6n, gn=ab7n, hn=b8n, in=ab9n, jn=b10n, kn=ab25, ln=b26, mn=ab27, n2=b28, b12o=ab27, co=ab2o, do=ab4o, eo=ab5o, fo=b6o, go=ab7o, ho=b8o, io=ab9o, jo=b10o, ko=ab11o, lo=ab27, mo=b28, no=ab29, o2=b30, b13p=b29, cp=ab2p, dp=ab4p, ep=ab5p, fp=b6p, gp=ab7p, hp=b8p, ip=ab9p, jp=b10p, kp=ab11p, lp=b12p, mp=ab29, np=b30, op=ab31, p2=b30, b14q=ab31, cq=ab2q, dq=ab4q, eq=ab5q, fq=b6q, gq=ab7q, hq=b8q, iq=ab9q, jq=b10q, kq=ab11q, lq=b12q, mq=ab13q, nq=ab31, oq=b30, pq=ab31, q2=b30, b14r=ab13q, cr=ab2r, dr=ab4r, er=ab5r, fr=b6r, gr=ab7r, hr=b8r, ir=ab9r, jr=b10r, kr=ab11r, lr=b12r, mr=ab13r, nr=ab13q, or=ab31, pr=b30, qr=ab31, r2=b30, b13s=ab12r, cs=ab2s, ds=ab4s, es=ab5s, fs=b6s, gs=ab7s, hs=b8s, is=ab9s, js=b10s, ks=ab11s, ls=b12s, ms=b12r, ns=ab13r, os=ab13q, ps=ab31, qs=b30, rs=ab31, s2=b30, b12t=ab11s, ct=ab2t, dt=ab4t, et=ab5t, ft=b6t, gt=ab7t, ht=b8t, it=ab9t, jt=b10t, kt=ab11t, lt=ab11s, mt=b12s, nt=b12r, ot=ab13r, pt=ab13q, qt=ab31, rt=b30, st=ab31, t2=b30, b11u=ab10t, cu=ab2u, du=ab4u, eu=ab5u, fu=b6u, gu=ab7u, hu=b8u, iu=ab9u, ju=b10u, ku=b10t, lu=ab11t, mu=ab11s, nu=b12s, ou=b12r, pu=ab13r, qu=ab13q, ru=ab31, su=b30, tu=ab31, u2=b30, b10v=ab9u, cv=ab2v, dv=ab4v, ev=ab5v, fv=b6v, gv=ab7v, hv=b8v, iv=ab9v, jv=ab9u, kv=b10u, lv=b10t, mv=ab11t, nv=ab11s, ov=b12s, pv=b12r, qv=ab13r, rv=ab13q, sv=ab31, tv=b30, uv=ab31, v2=b30, b9w=ab8v, cw=ab2w, dw=ab4w, ew=ab5w, fw=b6w, gw=ab7w, hw=b8w, iw=b8v, jw=ab9v, kw=ab9u, lw=b10u, mw=b10t, nw=ab11t, ow=ab11s, pw=b12s, qw=b12r, rw=ab13r, sw=ab13q, tw=ab31, uw=b30, vw=ab31, w2=b30, b8x=ab7w, cx=ab2x, dx=ab4x, ex=ab5x, fx=b6x, gx=ab7x, hx=ab7w, ix=b8w, jx=b8v, kx=ab9v, lx=ab9u, mx=b10u, nx=b10t, ox=ab11t, px=ab11s, qx=b12s, rx=b12r, sx=ab13r, tx=ab13q, ux=ab31, vx=b30, wx=ab31, x2=b30, b7y=ab6x, cy=ab2y, dy=ab4y, ey=ab5y, fy=b6y, gy=b6x, hy=ab7x, iy=ab7w, jy=b8w, ky=b8v, ly=ab9v, my=ab9u, ny=b10u, oy=b10t, py=ab11t, qy=ab11s, ry=b12s, sy=b12r, ty=ab13r, uy=ab13q, vy=ab31, wy=b30, xy=ab31, y2=b30, b6z=ab5y, cz=ab2z, dz=ab4z, ez=ab5z, fz=ab5y, gz=b6y, hz=b6x, iz=ab7x, jz=ab7w, kz=b8w, lz=b8v, mz=ab9v, nz=ab9u, oz=b10u, pz=b10t, qz=ab11t, rz=ab11s, sz=b12s, tz=b12r, uz=ab13r, vz=ab13q, wz=ab31, xz=b30, yz=ab31, z2=b30, b5A=ab4z, cA=ab2A, dA=ab4A, eA=b4z, fA=ab5z, gA=ab5y, hA=b6y, iA=b6x, jA=ab7x, kA=ab7w, lA=b8w, mA=b8v, nA=ab9v, oA=ab9u, pA=b10u, qA=b10t, rA=ab11t, sA=ab11s, tA=b12s, uA=b12r, vA=ab13r, wA=ab13q, xA=ab31, yA=b30, zA=ab31, A2=b30, b4B=ab3A, cB=ab2B, dB=b3A, eB=b4A, fB=b4z, gB=ab5z, hB=ab5y, iB=b6y, jB=b6x, kB=ab7x, lB=ab7w, mB=b8w, nB=b8v, oB=ab9v, pB=ab9u, qB=b10u, rB=b10t, sB=ab11t, tB=ab11s, uB=b12s, vB=b12r, wB=ab13r, xB=ab13q, yB=ab31, zB=b30, AB=ab31, B2=b30, b3C=ab2B, cC=ab2C, dC=b3B, eC=ab3A, fC=b4A, gC=b4z, hC=ab5z, iC=ab5y, jC=b6y, kC=b6x, lC=ab7x, mC=ab7w, nC=b8w, oC=b8v, pC=ab9v, qC=ab9u, rC=b10u, sC=b10t, tC=ab11t, uC=ab11s, vC=b12s, wC=b12r, xC=ab13r, yC=ab13q, zC=ab31, AC=b30, BC=ab31, C2=b30, b5D=bC, cD=ab2D, dD=ab4D, eD=abC, fD=b2C, gD=b2B, hD=ab3B, iD=ab3A, jD=b4A, kD=b4z, lD=ab5z, mD=ab5y, nD=b6y, oD=b6x, pD=ab7x, qD=ab7w, rD=b8w, sD=b8v, tD=ab9v, uD=ab9u, vD=b10u, wD=b10t, xD=ab11t, yD=ab11s, zD=b12s, AD=b12r, BD=ab13r, CD=ab13q, D2=b30>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, b22, b24, b26, b28, b30, 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, b10o, abp, ab3p, ab5p, ab7p, ab9p, ab11p, q, b2q, b4q, b6q, b8q, b10q, b12q, abr, ab3r, ab5r, ab7r, ab9r, ab11r, ab13r, s, b2s, b4s, b6s, b8s, b10s, b12s, abt, ab3t, ab5t, ab7t, ab9t, ab11t, u, b2u, b4u, b6u, b8u, b10u, abv, ab3v, ab5v, ab7v, ab9v, w, b2w, b4w, b6w, b8w, abx, ab3x, ab5x, ab7x, y, b2y, b4y, b6y, abz, ab3z, ab5z, A, b2A, b4A, abB, ab3B, C, b2C, D, b2D, b4D}

Phi = 1 a 1 b ab a 1 b ab c ac b3 ab3 d ad b5 e ab6 f b7 g ab8 h b9 i ab10 j b11 k ab12 l b13 m ab14 n b15 o ab16 p b17 q ab18 r b19 s ab20 t b21 u ab22 v b23 w ab24 x b25 y ab26 z b27 A ab28 B b29 C ab30 ab3D b31 b2D ab30 abD b31 D ab30

Monoid Structure

Idempotent  |G|  |Arch|
122
b30 *4488