Details Page for 0.7561

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   420
P-Portion Size:   105
Tame?   No

MSV File: q-0.7561.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
582
10123
13184
16246
19327
224010
255011
286015
317216
348421
379822
4011228
4312829
4614436
4916237
5218045
5520046
5822055
6124256
6426466
6728867
7031278
7333879
7636491
7939292
82420105

(Click on a heap to see details)

Details for Q82(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,A | a2=1, b28=b26, 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=ab27, co=ab2o, do=b3o, eo=ab4o, fo=b5o, go=ab6o, ho=b7o, io=ab8o, jo=b9o, ko=ab10o, lo=b11o, mo=ab12o, no=ab27, o2=b26, b13p=ab12o, cp=ab2p, dp=b3p, ep=ab4p, fp=b5p, gp=ab6p, hp=b7p, ip=ab8p, jp=b9p, kp=ab10p, lp=b11p, mp=ab12p, np=ab12o, op=ab27, p2=b26, b12q=ab11p, cq=ab2q, dq=b3q, eq=ab4q, fq=b5q, gq=ab6q, hq=b7q, iq=ab8q, jq=b9q, kq=ab10q, lq=b11q, mq=b11p, nq=ab12p, oq=ab12o, pq=ab27, q2=b26, b11r=ab10q, cr=ab2r, dr=b3r, er=ab4r, fr=b5r, gr=ab6r, hr=b7r, ir=ab8r, jr=b9r, kr=ab10r, lr=ab10q, mr=b11q, nr=b11p, or=ab12p, pr=ab12o, qr=ab27, r2=b26, b10s=ab9r, cs=ab2s, ds=b3s, es=ab4s, fs=b5s, gs=ab6s, hs=b7s, is=ab8s, js=b9s, ks=b9r, ls=ab10r, ms=ab10q, ns=b11q, os=b11p, ps=ab12p, qs=ab12o, rs=ab27, s2=b26, b9t=ab8s, ct=ab2t, dt=b3t, et=ab4t, ft=b5t, gt=ab6t, ht=b7t, it=ab8t, jt=ab8s, kt=b9s, lt=b9r, mt=ab10r, nt=ab10q, ot=b11q, pt=b11p, qt=ab12p, rt=ab12o, st=ab27, t2=b26, b8u=ab7t, cu=ab2u, du=b3u, eu=ab4u, fu=b5u, gu=ab6u, hu=b7u, iu=b7t, ju=ab8t, ku=ab8s, lu=b9s, mu=b9r, nu=ab10r, ou=ab10q, pu=b11q, qu=b11p, ru=ab12p, su=ab12o, tu=ab27, u2=b26, b7v=ab6u, cv=ab2v, dv=b3v, ev=ab4v, fv=b5v, gv=ab6v, hv=ab6u, iv=b7u, jv=b7t, kv=ab8t, lv=ab8s, mv=b9s, nv=b9r, ov=ab10r, pv=ab10q, qv=b11q, rv=b11p, sv=ab12p, tv=ab12o, uv=ab27, v2=b26, b6w=ab5v, cw=ab2w, dw=b3w, ew=ab4w, fw=b5w, gw=b5v, hw=ab6v, iw=ab6u, jw=b7u, kw=b7t, lw=ab8t, mw=ab8s, nw=b9s, ow=b9r, pw=ab10r, qw=ab10q, rw=b11q, sw=b11p, tw=ab12p, uw=ab12o, vw=ab27, w2=b26, b5x=ab4w, cx=ab2x, dx=b3x, ex=ab4x, fx=ab4w, gx=b5w, hx=b5v, ix=ab6v, jx=ab6u, kx=b7u, lx=b7t, mx=ab8t, nx=ab8s, ox=b9s, px=b9r, qx=ab10r, rx=ab10q, sx=b11q, tx=b11p, ux=ab12p, vx=ab12o, wx=ab27, x2=b26, b4y=ab3x, cy=ab2y, dy=b3y, ey=b3x, fy=ab4x, gy=ab4w, hy=b5w, iy=b5v, jy=ab6v, ky=ab6u, ly=b7u, my=b7t, ny=ab8t, oy=ab8s, py=b9s, qy=b9r, ry=ab10r, sy=ab10q, ty=b11q, uy=b11p, vy=ab12p, wy=ab12o, xy=ab27, y2=b26, b3z=ab2y, cz=ab2z, dz=ab2y, ez=b3y, fz=b3x, gz=ab4x, hz=ab4w, iz=b5w, jz=b5v, kz=ab6v, lz=ab6u, mz=b7u, nz=b7t, oz=ab8t, pz=ab8s, qz=b9s, rz=b9r, sz=ab10r, tz=ab10q, uz=b11q, vz=b11p, wz=ab12p, xz=ab12o, yz=ab27, z2=b26, b3A=bz, cA=ab2A, dA=bz, eA=ab2z, fA=ab2y, gA=b3y, hA=b3x, iA=ab4x, jA=ab4w, kA=b5w, lA=b5v, mA=ab6v, nA=ab6u, oA=b7u, pA=b7t, qA=ab8t, rA=ab8s, sA=b9s, tA=b9r, uA=ab10r, vA=ab10q, wA=b11q, xA=b11p, yA=ab12p, zA=ab12o, A2=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, ab12p, bq, b3q, b5q, b7q, b9q, b11q, ar, ab2r, ab4r, ab6r, ab8r, ab10r, bs, b3s, b5s, b7s, b9s, at, ab2t, ab4t, ab6t, ab8t, bu, b3u, b5u, b7u, av, ab2v, ab4v, ab6v, bw, b3w, b5w, ax, ab2x, ab4x, by, b3y, az, ab2z, aA, ab2A}

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 abz z abA b2A abA A abA A

Monoid Structure

Idempotent  |G|  |Arch|
122
b26 *4418