Details Page for 0.4107

Complete Solution is Known:

Period:   24
Preperiod:   66
Quotient Size:   506
P-Portion Size:   58
Tame?   No

MSV File: q-0.4107.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
7102
9184
10204
13366
15527
17609
187210
197611
229613
2412417
3012618
3328036
3532240
3632841
3741046
3943648
4144848
4345249
4445650
4646452
4746652
5046853
5147454
5348055
5648857
6150658

(Click on a heap to see details)

Details for Q39(0.4107):

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 | a2=1, b5=b3, b3c2=b3, b2c3=b2c, c4=c2, bd=ab3, c3d=cd, d2=b4, be=ab, ce=ac, de=ad, e3=ae2, bf=b4, c3f=cf, df=ab3, ef=af, f2=b4, b3g=ab4c, bcg=ab2c2, c2g=abc3, dg=ab2g, eg=ag, cfg=ab4, g2=b2, b2h=ab3, bc3h=bch, dh=b3, eh=ah, fh=ab4, bgh=ab2g, cgh=abc2h, h2=b4, b3i=b3c, bc2i=bi, c3i=ci, c2di=di, ei=ai, fi=b3c, bgi=ab2ci, cgi=abi, c2hi=hi, ghi=abchi, i2=b2ci, bj=ab3, c3j=cj, c2dj=dj, ej=aj, fj=ab3, gj=ab2g, hj=b3, ij=bhi, j2=b4, bk=bc, c2dk=dk, ek=ak, cfk=c2f, cgk=abc, fgk=ab4, hk=ch, c2ik=ik, dik=bchi, gik=abi, c2jk=jk, djk=b4c, k2=ck, bl=ab2c, c3l=cl, dl=b3c, el=al, fl=ab4c, cgl=b2c, hl=abch, c2il=il, gil=b2i, jl=b3c, kl=cl, l2=b2ci, b2m=ab3c, bc2m=bm, c3m=cm, dm=b3c, em=am, fm=ab4c, gm=abcm, bhm=b3c, c2hm=hm, bim=ab2ci, c2im=im, jm=b3c, km=cm, lm=abcm, m2=b4, bn=b2, dn=ab3, en=an, fn=b4, cgn=ab2c2, hn=bh, in=acil, jn=ab3, kn=cn, ln=ab2i, mn=bm, n2=b4, b2o=b3, bc2o=bo, do=ab3, eo=ao, fo=b4, bgo=ab3c, cgo=abo, ho=abo, bio=chim, c2io=io, gio=ahim, jo=ab3, ko=co, lo=achim, mo=abco, no=b4, o2=b4, bp=ab3, cp=ab2c, dp=b4, ep=ap, fp=ab3, gp=ab2g, hp=b3, ip=ab2i, jp=b4, kp=ab2c, lp=b3c, mp=b3c, np=ab3, op=ab3, p2=b4, b2q=b2i, bcq=aim, c3q=cq, c2dq=dq, eq=aq, fq=b3c, gq=im, bhq=achim, c2hq=hq, biq=b3, c2iq=iq, diq=adj, hiq=ab3, jq=bhi, c2kq=kq, dkq=bchi, ikq=b2i, c2lq=lq, ilq=ab3c, bmq=ab4, c2mq=mq, hmq=him, imq=ab3c, cnq=alq, oq=io, pq=ab2i, bq2=b3, c2q2=q2, dq2=adj, hq2=ab3, iq2=b4c, kq2=b2i, lq2=ab3c, mq2=ab3c, nq2=b3, q3=b4c, b2r=b4c, cr=b2, dr=ab4c, er=ar, fr=ab2g, hr=abr, ir=b2ci, jr=ab4c, kr=b2, lr=ab3, mr=ab3, nr=b3c, or=ab2g, pr=ab4c, qr=b2ci, r2=b4, bs=acjk, ds=ab3, es=as, fs=b4, gs=jk, c2hs=hs, c2is=is, his=bhi, js=ab3, ks=cs, ls=bhi, ms=chs, ns=b4, os=b4, ps=ab3, c2qs=qs, hqs=achim, iqs=b3, q2s=b3, rs=b3c, s2=b4, bt=ab2i, c3t=ct, dt=b3c, et=at, ft=ab4c, cgt=b2i, ht=hm, c2it=it, git=b4c, jt=b3c, kt=ct, lt=b4, mt=b4, nt=ab4c, ot=ab4c, pt=b3c, qt=it, rt=ab3, st=ab4c, t2=b4, b2u=abo, c3u=cu, du=bo, eu=au, cgu=abc2u, bc2hu=bhu, bhiu=chim, ju=bo, ku=cu, c2lu=lu, glu=abo, bmu=bchu, c2mu=mu, hmu=ab4c, imu=chiu, c2nu=nu, gnu=bco, ou=fu, pu=bo, bqu=ahiu, hqu=b3c, iqu=ahim, mqu=b3, nqu=aclqu, q2u=ahim, su=nu, tu=clqu, u2=b4, bv=b2ci, c3v=cv, dv=ab3, ev=av, fv=b2ci, cgv=ab2ci, c2hv=hv, ghv=b3c, civ=ait, giv=bgr, hiv=achim, jv=ab3, kv=cv, lv=ab4c, mv=ab4c, nv=b4, ov=b2ci, pv=ab3, qv=acit, rv=b3c, sv=b4, tv=ab4c, huv=him, iuv=bru, v2=b4, bw=ab4c, c3w=cw, dw=b3c, ew=aw, fw=ab4c, gw=bgru, hw=hm, iw=it, jw=b3c, kw=cw, lw=b4, mw=b4, nw=ab4c, ow=ab4c, pw=b3c, qw=it, rw=ab3, sw=ab4c, tw=b4, uw=b3c, vw=ab4c, w2=b4, b2x=bru, bcx=abgru, c2x=cfu, dx=abru, ex=ax, cfx=ab4, cgx=afx, fgx=b3, bhx=abru, chx=bgru, bix=ab4, cix=ab3c, gix=fgu, hix=b4, jx=abru, fkx=abgru, ikx=ab3c, lx=bgru, mx=bgru, cnx=abgru, gnx=gru, ox=agkx, px=abru, qx=ghx, brx=abgru, sx=agrx, tx=b4, ux=b3c, vx=aguv, wx=b4, x2=b4, by=br, c2y=b2i, dy=ab4c, ey=ay, fy=br, cgy=b2g, hy=abr, ciy=b4c, giy=b2g, jy=ab4c, ky=cy, ly=ab3, my=ab3, ny=b3c, oy=br, py=ab4c, qy=abgr, ry=b4, sy=b3c, ty=ab3, cuy=ahim, iuy=abgru, vy=b3c, wy=ab3, cxy=bru, ixy=bru, y2=b4>

P = {a, b2, b4, c2, b2c2, acd, e2, ah, abch, b2ci, achi, cj, ck, c3k, adk, al, abcm, hm, ao, ac2o, acio, cq, adq, achq, kq, q2, abgr, as, ac2s, acis, acqs, at, abu, abc2u, hu, c2hu, abciu, giu, chiu, clu, cmu, abru, achv, acuv, aw, ackx, cy, iy}

Phi = 1 1 a a b b ab c c d e f g h b i ab2 j k l m n o p q r abo anq b3 s t abm cq2 u cjk v w x b3 y agt

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8416
c246
e224
c3k48