Details Page for 0.1042

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1080
P-Portion Size:   133
Tame?   No

MSV File: q-0.1042.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
17123
31325
3511212
3711614
3818830
3939459
4346464
4447265
4659487
4759888
4960688
51912121
521048128
531080133

(Click on a heap to see details)

Details for Q49(0.1042):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a2=1, b5=b3, bc=b4, c2=b4, bd2=b, cd2=c, d4=d2, be=b2d, ce=b4d, de=b, e5=e3, b2f=ab3, cf=ab4, d2f=f, ef=bdf, f2=b4, b2g=b3, cg=b4, d2g=g, eg=bdg, fg=bf, g2=b4, b2h=ab3, ch=ab4, d2h=h, eh=bdh, fh=b4, gh=abg, bh2=b3, h3=ab3, bi=abg, ci=ab4, d3i=di, e4i=e2i, fi=b4, gi=abg, hi=b2, i2=bg, bj=b3, cj=b3, d2j=b2, e3j=ej, fj=ab3, gj=b3, hj=ab3, dij=ab3d, e2ij=ij, j2=b4, b2k=b3d, d2k=k, ek=bdk, bfk=ab3d, gk=b4d, hk=ack, ik=ack, jk=b3d, ck2=c, k3=k, bl=bg, cl=b4, d2l=l, el=bdg, fl=ab4, gl=bg, hl=abg, il=abg, jl=b3, kl=ck, l2=bg, bm=b4, cm=b4, d3m=dm, em=ae3i, fm=ab4, gm=b4, hm=ab4, im=ab4, jm=aij, km=b4d, lm=b4, m2=b4, b3n=b3d, cn=b3d, d3n=dn, en=bdn, d2in=in, jn=b2n, kn=bk2, mn=b3d, n2=b4, bo=b3d, co=b3d, do=abh, eo=b3, fo=ab3d, go=b3d, ho=ab3d, io=ab3d, jo=b4d, ko=b3, lo=b3d, mo=b3d, no=abdhn, o2=b4, b2p=abg, cp=ac, fp=afk2, bgp=abg, bhp=b2, h2p=bh, d2ip=ip, eip=bdg, ijp=b3, bkp=ack, lp=aip, mp=ab3, bnp=in, inp=ln, op=ab2d, bp2=ip, e2p2=ae2p, gp2=agp, hp2=bp, ip2=aip, jp2=ajp, kp2=akp, ep3=aep2, p4=ap3, b3q=ab3, cq=fk2, d3q=dq, fq=b3, d2iq=iq, eiq=abdgq, djq=b2dq, ijq=b3, mq=ab3, d2nq=nq, oq=abdhq, bpq=iq, gpq=agq, ipq=lq, hnpq=bnq, q2=abf, b2r=ab3, cr=ab4, d3r=dr, e4r=e2r, fr=b4, bgr=ab3, bhr=b3, h2r=ab3, e3ir=eir, djr=ab3d, e2jr=jr, kr=bkq, lr=ad2ir, dmr=bfn, nr=bnq, or=ab3d, pr=iq, qr=b3, r2=b4, bs=ab3d, cs=ab3d, d2s=s, es=ab3, fs=b3d, gs=ab3d, hs=b3d, is=b3d, js=ab4d, ks=ab3, ls=ab3d, ms=ab3d, os=ab4, ps=abdh, qs=adh2q, rs=b3d, s2=b4, bt=b3d, ct=b3d, dt=cdk, et=b3, ft=ab3d, gt=b3d, ht=ab3d, it=ab3d, kt=c, lt=b3d, mt=b3d, nt=b4, ot=b4, p2t=apt, qt=fk, rt=ab3d, st=ab4, t2=b4, b2u=b4d, eu=bdu, bfu=ab4d, gu=b3d, hu=acu, iu=acu, k2u=d2u, lu=cu, mu=b3d, bnu=b3, dnu=bdku, fnu=ab3, ou=b4, bpu=acu, dp2u=adpu, p3u=ap2u, d2qu=qu, jqu=ab4d, nqu=bkqu, p2qu=apqu, ru=bqu, su=ab4, jptu=djpu, u2=b4, bv=ab3, cv=ab3, d2v=v, ev=ab3d, fv=b3, gv=ab3, hv=b3, iv=b3, jv=ab4, kv=ab3d, lv=ab3, mv=ab3, nv=abgn, ov=ab4d, pv=bg, qv=abgq, rv=b3, sv=b4d, tv=ab4d, uv=ab4d, v2=b4, bw=b2n, cw=b4d, d2w=w, ew=b2dn, fw=ab4d, gw=bgn, hw=abgn, iw=abgn, jw=b3d, kw=b4, lw=bgn, mw=b4d, nw=b3, ow=b3, pw=aln, rw=b2nq, sw=ab3, tw=b3, uw=b3, vw=ab3d, w2=b4>

P = {a, b2, b4, ad, ad2, ad3, e2, e4, abf, bg, abh, h2, j, e2j, adk, acdk, ak2, adk2, bdn, adfn, abdgn, abdhn, dh2n, o, p, dp, d2p, d3p, ae2p, ae4p, ajp, ae2jp, k2p, dk2p, dnp, ap2, adp2, ad2p2, ad3p2, adnp2, p3, dp3, d2p3, d3p3, dnp3, ab2q, dq, ae2q, ae4q, abgq, bhq, ah2q, ajq, ae2jq, abdkq, dk2q, dnq, ab2dnq, bdhnq, adh2nq, epq, e3pq, aep2q, ar, bdr, er, dgr, eir, ads, au, adu, ad2u, ad3u, dju, aku, acku, pu, dpu, d2pu, d3pu, jpu, anpu, ap2u, abkqu, atu, ajtu, ptu, dv}

Phi = 1 a 1 1 1 b b b b a a a b2 ab ab ab c d d ab2 b4 e e f g h i bf j ab2 abg k hp l m n b2 o p q gn gn bp r s t u v abh w b3

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8540
d246
e448
k288
ae4p410
ak2p88
ap326
ad2p3418