Details Page for 0.7451

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   934
P-Portion Size:   82
Tame?   No

MSV File: q-0.7451.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
9184
16345
20427
217812
289014
2910216
3111817
3313018
3416221
3716622
3817423
4218625
4337443
4445851
4746652
5048252
5361461
5866266
6567468
6668670
6785077
6890679
6993081
7393482

(Click on a heap to see details)

Details for Q53(0.7451):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a2=1, b3=b, b2c=c, c3=ac2, b2d=d, cd=c2, d2=c2, b2e=e, c2e2=c2, ce3=ce, de3=de, e4=e2, b2f=f, c2f=acf, df=cf, cef=aef, e2f=acf, f2=c2, b2g=g, c2g=bc2, e3g=eg, cfg=bcf, efg=bef, g2=c2, b2h=h, ch=acg, dh=adg, eh=aeg, fh=afg, gh=ac2, h2=c2, b2i=i, c2i=ac2e, di=ci, e3i=ei, fi=aef, e2gi=gi, hi=agi, i2=aei, b2j=j, cj=cf, dj=cf, ej=ef, fj=c2, gj=abcf, hj=bcf, ij=aef, j2=c2, b2k=k, ck=cf, ek=ef, fk=c2, gk=abcf, hk=bcf, ik=aef, k2=c2, b2l=l, c2l=bc2, dl=cl, ce2l=cl, e3l=el, fl=abcf, gl=c2, hl=ac2, il=gi, jl=abcf, kl=abcf, l2=c2, b2m=m, cm=c2e, e2m=m, fm=aef, gm=abc2e, hm=bc2e, im=c2, jm=aef, km=aef, lm=abc2e, m2=c2, b2n=n, cn=c2, dn=c2, e3n=en, fn=cf, e2gn=gn, hn=agn, e2in=in, gin=cgi, jn=cf, kn=dk, e2ln=ln, mn=c2e, n2=c2, b2o=o, c2o=acf, eo=ef, cfo=ac2, cgo=bcf, dgo=bco, fgo=bjk, ho=ago, io=aef, jo=c2, ko=c2, lo=abcf, mo=aef, no=cf, o2=c2, b2p=p, cp=c2e, dp=c2e, e3p=ep, fp=aef, e2gp=gp, hp=agp, ip=c2, jp=aef, kp=aef, e2lp=lp, mp=dem, np=c2e, op=aef, p2=c2, b2q=q, c2q=c2e, dq=cq, e2q=q, fq=ef, gq=bc2e, hq=abc2e, iq=ac2, jq=ef, kq=ef, lq=bc2e, mq=ac2, nq=ac2e, oq=ef, pq=ceq, q2=c2, b2r=r, cr=cf, dr=cf, er=ef, fr=c2, hr=bcf, ir=aef, jr=jk, kr=jk, lr=abcf, mr=aef, nr=cf, or=c2, pr=aef, qr=ef, r2=c2, b2s=s, c2s=bc2e, ds=cs, fs=bef, e2gs=gs, hs=ags, js=bef, ks=bef, cls=cgs, e2ls=ls, ms=abdem, e2ns=ns, gns=cgs, lns=cgs, os=bef, ps=abc2, qs=abceq, rs=bef, s2=c2, b2t=t, ct=aelp, de2t=dt, e3t=et, ft=bcf, dgt=abelp, e2gt=gt, ht=agt, it=bc2e, jt=bcf, kt=bcf, lt=ac2, dmt=bcq, e2nt=nt, gnt=aceq, ot=bcf, pt=det, qt=abc2e, rt=bcf, st=abdet, t2=c2, b2u=u, cu=c2, du=c2, e2u=u, fu=cf, gu=acegi, hu=cegi, iu=ce2i, ju=cf, ku=cf, lu=acegi, mu=c2e, nu=c2, ou=cf, pu=c2e, qu=ac2e, ru=cf, su=aceis, tu=bc2, u2=c2, b2v=v, dv=cv, cfv=afv, e2gv=gv, fgv=bfv, hv=agv, jv=fv, kv=fv, clv=cgv, e2lv=lv, e2nv=nv, gnv=cgv, lnv=cgv, ov=fv, pv=ac2ev, cqv=ac2ev, rv=fv, sv=bc2ev, e2tv=tv, gtv=aeqv, mtv=bqv, ntv=bc2v, uv=aceiv, v2=c2>

P = {a, b2, bc, c2, ad, ace, e2, bce2, ade2, bf, abg, abdeg, be2g, abce2g, bh, aei, cei, abegi, bcegi, bk, abdk, abl, abcel, be2l, aem, ae2n, ein, aco, fo, abp, aep, abgp, ablp, eq, agr, abs, abces, be3s, gs, acegs, bis, abe2is, bce2is, gis, ls, abens, bt, bdet, abe2t, agt, bemt, aeu, aev, abegv, aciv, abcgiv, abelv, mv, ainv, aqv, betv}

Phi = 1 a 1 a ef aef ef b ab c bef abef ef aef ef d e ae bef abef f g h i ai ac2 j cf k l al m bef n o ao aef p q aq bef abef r s t ac2e c2e u bef acf efv bc2 abc2 v abcf abef efv acf

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *32584
e2812
aei812