Details Page for 0.7266

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2454
P-Portion Size:   54
Tame?   No

MSV File: q-0.7266.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
5102
8163
14325
166410
1711216
2012416
2117626
2325236
2426837
2528039
3128440
3330040
3731842
4033443
4235044
4539848
5441450
5543052
8543854
8847054
19453454
41466254
91691854
1968143054
4286245454

(Click on a heap to see details)

Details for Q414(0.7266):

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, b4=b2, b3c=bc, bc2=b3, c4=c2, bd=abc, c2d=ac3, d3=d, b3e=be, be2=b3, e3=e, bf=abc, c2f=ab2c, cf2=cdf, df3=d2f2, f4=f2, bg=abe, c2g=ab2e, e2g=g, dfg=ab2e, f2g=ab2e, g2=aeg, bh=ab3, ch=ab2c, dh=acd2eg, e2h=h, f3h=fh, gh=cdg, h2=b2, b2i=bce, bci=b2e, c2i=bce, cd2i=ci, ei=bc, cfi=cdi, d2fi=fi, f2i=dfi, gi=abc, hi=abce, bi2=b, fi2=di2, ci3=ci, di3=fi, i4=i2, bj=abc, c2j=ab2c, cfj=cdj, defj=d2ej, df2j=d2fj, f3j=fj, gj=fg, f2hj=hj, d2ij=ij, fij=dij, i3j=ij, j2=b2, bk=abe, cd2k=ck, e2k=k, f2k=dfk, gk=b2, fhk=ab2ce, ik=abc, jk=b2ce, k2=b2, bl=be, cl=b2ce, d2l=l, el=b2, fl=ab2ce, gl=ab2, hl=ab2e, il=bc, jl=ab2ce, kl=ab2, l2=b2, b2m=ab2ce, cm=ab2e, dm=b2e, em=ab2c, fm=b2e, gm=b2c, hm=b2ce, i2m=m, jm=b2e, km=b2c, lm=ab2c, m2=b2, b3n=bn, b2cn=cn, c2n=b2n, dn=acn, e2n=n, cfn=ab2n, f2n=n, gn=ab2en, hn=ab2n, in=bcen, cjn=ab2n, kn=ab2en, ln=b2en, mn=acen, n2=b2, bo=abc, co=ab2, do=b2, e2o=o, go=b2ce, ho=b2c, io=abe, jo=afhj, ko=b2ce, lo=ab2ce, mo=b2e, no=acn, o2=b2, bp=be, c2p=p, dp=acp, e2p=p, fp=ab2ce, gp=ab2, hp=ab2e, ip=bc, jp=ab2ce, lp=b2, mp=ab2c, np=b2en, op=ab2ce, p2=b2, bq=bcn, c2q=q, dq=acq, e2q=q, fq=ab2n, gq=acen, hq=acn, iq=ben, jq=ab2n, lq=cen, mq=ab2en, nq=b2c, oq=ab2n, pq=cen, q2=b2, br=bn, c2r=r, dr=acr, e2r=r, fr=acn, gr=ab2en, hr=ab2n, ir=bcen, jr=acn, lr=b2en, mr=acen, nr=b2, or=acn, pr=b2en, qr=b2c, r2=b2, bs=ab2ce, c2s=s, ds=acs, es=abc, fs=be, gs=bc, hs=bce, is=ab2, js=be, ks=bc, ls=abc, ms=b3, ns=abcen, os=be, ps=abc, qs=aben, rs=abcen, s2=b2, b2t=t, c2t=t, dt=act, e2t=t, ft=act, gt=aet, ht=at, it=bcet, jt=act, kt=aet, lt=et, mt=acet, ot=act, pt=et, qt=cnt, rt=nt, st=abcet, t2=b2, b2u=u, c2u=u, du=acu, e2u=u, fu=acu, gu=aeu, hu=au, iu=bceu, ju=acu, ku=aeu, lu=eu, mu=aceu, ou=acu, pu=eu, qu=cnu, ru=nu, su=abceu, u2=b2, b2v=v, c2v=v, dv=acv, e2v=v, fv=acv, gv=aev, hv=av, iv=bcev, jv=acv, kv=aev, lv=ev, mv=acev, ov=acv, pv=ev, qv=cnv, rv=nv, sv=abcev, v2=b2>

P = {a, b2, c2, d, ad2, ace, de, acd2e, ae2, c2e2, de2, ad2e2, af, acdef, ae2f, f2, d2f2, e2f2, d2e2f2, af3, ae2f3, eg, adeg, d2eg, efg, aci, di, i2, d2i2, aj, acdej, ae2j, de2j, fj, d2fj, e2fj, af2j, ae2f2j, di2j, aek, ac2ek, ad2ek, efk, adefk, adl, aim, ajn, f3o, acep, aceq, ckq, cer, ackr, cs}

Phi = 1 a 1 b ab bc abc c d c2ek b3 ab3 bc abc e b2c f g ab3 b3 h i b2c j adfk k cdij ij ab3 b3 ab2 l bc b2n abe ab3 b3 m b2ce ab2e n bc o be abe p b ab2 b2n abce bn bc abc abcn q r abce bn bc abc abcn ab2e bim acn abce bce bc acekp bcen ab2 ab2n b2en be abce ab3 abn bn cekq b2n be b3 ab3 abn ab2ce aben s be bc t bcn ben b2ce abt bn ab2n bc b2e abe bcn abt b2en ab2en abce bce abn bcn bt cn b2en cen ct abce bcen b2e ab2e ab2en abcn at ct abce b2ce ab2ce abt aet abe t ben ab2en bct ab2ce cen abe cn acn bcn abcn bc b2ce abt abe be b3 bcn b2en bcet acet ab2n t act ct abcet abt bct b2c cet et bn bcnt abct ab2c abe cet ab2ce et abn ant bt bcnt abcnt bnt b2en t bcen abcen abce abt ab3 abc ent nt acnt ab2n bet ct aent abcnt acet ben abc abe ent cen t acet u be abce au abcet ab2ce abu bcen abcen u acu bc b2en cent aet ab2n ab3 b3 beu b2en be aet ct u bcen ab3 abeu ab2n ab2c cet aben u bet abt abu abcu abce cent nt b2e abet bet b2n cen acu bn abcu abt aceu abu aet et acen aent cent cu b2c be bc u aceu abcu bce bct b2n bnt ab2e ant abu bcen bet acen abc ct bu nt abe aceu au u ct bcu abn bn aeu au b2n abcent bcent aceu aent ent nt anu be at abnu ceu b2n cnt beu cnu t ab2c abu bcn bcu acnt aben b2en abnt bcenu abcen cent acet abct abce bent abcnu abu u bc bcent aceu abcnt b2n abcet bn abn beu bcent ceu abcnt tu cn aeu beu u abe bcent tu abcenu abceu btu abce at bnt acnu ab2e ab2en bctu bnu aent abet aeu aenu ab2e aceu bu ent ben cetu abent beu aeu abe aben nt atu bcetu acu aceu abt bcnu cnu anu ab2en cen ntu abntu cntu abeu beu bcent abenu b2e atu acu cenu b3 bntu cen entu bcu eu ab2en btu beu cet acet aeu cent abcnt nt bceu b2ce bntu bcntu antu abcnu aeu abc bn bu cenu ab2 abet aentu acent abcentu v bcntu aeu bent bcenu cen av aenu aet aentu abcn abv v cnu bcen cen acu abct bent ab2en abet ent v bcen abctu acet cetu ab2ce av at beu cet ab2e cen bcnu abcu acent cnt abentu abcn bcnt act av enu abe v bv abv at cen abcen cu abcu bv b2c aceu acn nu nt av btu abenu be abt bt bcnt cent bcn aev bct v aet benu acenu acv bu ant btu antu ab2c aev aentu aben acenu au abcenu bv ab2en bnv aev abcent abentu abcev ceu cntu centu ntu bn tu bcntu acn bv abcenu abu abct ct ab2 abtu ceu bnt bt ab3 acv bn b2n abcv cu ent b2e acn aet cet abcv bv cnu abet cv abu v abctu bn ab2n abet atu aenu eu cen abcetu entu au abcnu bcen aet aev aeu bcntu bnu abcnu acev cent bntu bnv aeu abcv nt bu cev anv acv atv abce bev abcenv bv bctu bc bcev abtu nv abcnu enu tu aev ent anu abcntu abcv abtu ab2 v benv acnu bv entu acev etu abnv v acnu abctv acu aentu bent cntu nu acv acn eu abcnv act tv env abcet anv nv beu acu abcnv actu bu btv cnv cev abtv bcnu abcu abct ben abceu cent abcv bcetv aetv bet av aev aenv nt bcetv abet abev cnt abeu b3 ctv aeu aenv antv bnu acv ab3 bcentu v abcenv abn btv acv aentv bntv bcntv aent beu abev bcnv acentv abcv tu act bcetu bcenu abv bcntv etv acv abe bcev abcen abcenv bnv bcu cnv abcent cet bct cetv abcv abceu tu bctv etv abenv abcnv bceu abnt nt b2ce abtv bentv v bc abtu bcetv acn abnu av abctv etv uv benv nv env acuv abcn abntu abcnt ab2n b2c uv nt cuv u bnv ab2c euv aet bcv bcnu abnv abnt bcuv at ab2e auv abent abcen entv acv cv bu bcenv ben cetu aeu et bcuv bcnu bnt bcenu abctu env abuv benv acen bct acent at bu cetv buv bctu bcuv cu bnv bcnu euv enuv cetv abnuv abnv ceuv antu be abcet v b2en bceu euv aenu benu av cntv atv buv u abc acentu antv abcnt antu bcnu etv bnu acentv acenuv cent ct ab2e abnuv entv etu abcentu bnu btu acenuv bcent abcuv acntv b2e acuv anuv abctv av cn abenv ctuv acuv acntu aben ant abev abenuv aentu bcenu nuv cenv ceuv ben acetu benuv abcet abv bntv acv cetu buv abu cetv nt aceu at tv abceuv beu abctu abenuv acnt ntu bnv bcuv bceuv bcenuv abcnv abcet acv btuv aben nuv cetu abtv ctu betuv abuv aetuv bce cev abcnv cen b2c ceuv aeu cetuv b2en acuv abcetuv tv u ctu abcnv ctv abet aenu cnt abtuv euv cen bcntv abnuv v ntuv abce abenu btuv bcenu acenv actuv ctu aent abenu bnv abev aenv bnuv abetu aetuv anv bnv b2ce bentv abceuv atuv au abev

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *256542
c2410
d244
e244
c2e2820
d2e288
f246
d2f248
e2f2812
d2e2f2816
aeg44
ad2eg88
i246
d2i2812