Details Page for 0.7246

Complete Solution is Known:

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

MSV File: q-0.7246.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 Q916(0.7246):

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, 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, b2w=w, c2w=w, dw=acw, e2w=w, fw=acw, gw=aew, hw=aw, iw=bcew, jw=acw, kw=aew, lw=ew, mw=acew, ow=acw, pw=ew, qw=cnw, rw=nw, sw=abcew, w2=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 w acev aev abntv eu aenuv buv entu bcen bcntv nv aben btu cu antuv abntu betuv btv w bentuv cu bcentuv bcnv acnu acentuv t cv abctuv actv bcntuv bcuv abcetuv cnt bt ctu aceu w abcetu tv bentv cuv acuv abw bnt abce bu ant abnuv abentv acetuv bent acent acnv w aceu ab2e aetuv act btu cenuv bu bcet cent aev abcnuv aentv et ben bcnu bntuv at aw abcenu cenuv bw bceuv bet abet aw centuv bcen u bnuv cuv abctv b2e acn bcentuv bw abntu bnu bc antu w aw acetu abeuv cntu bw ceu w abnv bnw abtu abew nt antuv abcet abnu abenuv bcen aev acnt abew ntuv bcu b2n abcew bw bcw anv tv aentv acw centv bntv ct anu acntuv ew abnw tv abntv bnv b2c bctu acent abnw aetv cenuv abcenuv actuv acw acetuv acew acen abnw bn ben abe cew cnt bct entu abcew abetu v bntu abcw abcnw abcv enu abu abnuv bw btv bcw abent etv ntv bntuv acnw abtv aew acent beu benv acw anuv acentv abcentuv abnw abcv w abetv betv anu abcntu bw acw abentu acenuv t bew abent bcntu aenw cen abcnw abcenu abctuv bctu ew abetv bcnw abcnw eu ab2e bctu anw cu aw abent abcetu bu cv abntu abcentu aenuv abce ab2en bnu acev abcntu bcentv aeuv actw bcet bctw cw et actu cnw cent abt abctw bcntuv actw abetv entuv cnu acnt bu abcenw auv buv enu abetu abceuv w ew aetw nw abctw atw bcntu acnu acw abcnu ntw ew tuv ab2ce abnw btu abeu atu aeu aev bew w abcetu abctuv abentuv bnv acnw tw bcw bcn ew acent nuv abcew abcw abcnt aew bctv bcenw aenuv bcetw bctw actuv abent acw abcnu abcnt bcnv bcw ceu abent abenuv abenw ent abenu abctw bctu cen entuv cew abntuv tu bw abenu abntu cnv cetuv abtv euv acuv abe abeu abctv ceu bcetv bn cew acew nw abu acev enu abenw cw abce bctw atw abcew bcnw bcnv abcetu acw bcetw antw cetu cent abuw abt bcenv acnw abet cenw abenw bentw entw acntu ntu bcetw abcentv acetw ntuv abnw aentw w acenuv abcenu acnu abcnt abcnw ab2n w cent abcent anw tw abcew beu abenw abtu bcetw acntw abentw cuw acev abv abeuw abcentu cntu cnuv cetuv etu w bcenw ab2c abcetw acnw cuw bctuv cew abcv w bctw antw abcentw abctv antu bcuv abuw ctu acew aenuv acentv cetv abent bcnuv abcenuv ab2e beuv aben bceu aeu bentu tuv acv auw abentuv bcnv be aetuv abuw bcuw entuv btu abceuv antuv abnuw bcenw ctu bcetw ab2en bcuv abenw ntu abuw abcenuv w abenv cntuv nw abcev cw bcent cent cetw ctuv abct b2ce enuw abnv uw cetv bnuw acenw abceu actw abctw bceuw bcetuv ew buw abuw bnuw acuw tu abentu cntu cntw abuw enuw bcent bcenw bcuv acentw abntv betw aentw bcentw abcentw bcnw abe entv btv anw abcnu bcw abcen bcenuw abcenw abcenu abuv abetu benuv abcnuw v atw beuv bntw cew bu ctuv atuw abcev tw cev bce bcenu abcnw euv abnuv ctuv etuw acu abce abuw bceuw cetuv bentw nt cetv acnt benuv euw acetw acntv ctuv nw abcuv at bceuv abcw ab2n antu ctuw aentuv cnuw acn ab3 bcnuv auw abcw bctw abcntuw cntw nw abev bcntw benuw aew beu aeuv bn entv abnuv bcnv abceu etuw bcntv abcetuw actuw abctu bceu abcentuw abcuw v btw bentuw acntuw abcetuv tv bcenv acnv anw abcntw cntw aet cetuw ent abcuw nw bctuv abnw be abtuw bcetuw abuv aetuw bceuw u benw auv abev ct btv acetw vw cuw benuw abvw cntv ntuw acntw antv bc ab3 bn abvw bcew at bcev cnv bentu bcentw abntuw acetw acenw acvw cvw cent abetuv abctuv cuw abn bcetu ctv abcevw bcenw abcentuw benuw aevw antu b2n abceuw abntw bnvw aetv aentu bcent aenuw b2ce acew abcentv abvw acetuw cvw cnuv abceu abcnvw bnuv cetu bntv aenuv bcevw bevw cnv bctuw enw bentuw betuw bcentw tuv cenv acvw acnvw tw acenu nv bctw ant cen bentv bntw acv acntu bnt bctu acnw abcentu benu bcenvw anw bcew abcuw aceuv evw buw bcevw acent beu beuv cvw entw enw benvw tuv abcenv avw abcevw nvw ab2en acentuw abntw abentuw enw benu abtvw bnvw bcu aetvw betvw abc aetuv bntw abvw bet bcenvw nw bc abenuw abtvw abcntuv aenvw atvw ctuw cu abvw bcnv actuv entv abentuv aenu aent cntv bctvw abenv aetuv acetw abcetvw aet bntw centu ntw abctu acetv etw abctw acv bctuv acw acetvw aeuv bcuv bcev abentw bce antvw abcnv abcuv anv atu acnu b2en aenuw abcetuw abetv abcnv cetw abcen cuv ant centu tvw ntvw benu cvw bv nu abc cnw atvw bntu aevw cntu abcn acntuw bcuv ct b2en ceu abcv abentu auvw ntvw abvw abnuw abcenvw abenw atvw cnv enuv abetv cenw acetvw acentw cenuv btw abenw atuw abcvw bcntuv tw cuv bcw abvw abe bceuw nw abcetvw bntuw anw bcnvw abcentw tvw abeuvw ab2e abenuw bentuw cetuw actv bw betvw abctuw cetu antu ctvw acuw abcetuw cent bu bcentuw aceuw abcnw acetw cu betu bc betw abetuv abetuw abn cenu bceu abe aeu bevw acuvw abcntuv auvw aetv anv btv abcntvw nt abnw acenv aeuvw acentvw nuvw ab2n bu abnvw aenu auvw btvw abent aetuv btv abtuv bcuvw aentvw bcnv acnuw act cevw bnu bw abceuw actv abcenvw abeuvw antv abcnvw abn bnv tu acentv cnuvw bcnuw bcenu abcetuv bcv aetu abcetvw et etw bntuw bcenuw aentw benuvw bct betvw atuvw bvw abcevw ceuvw cenuvw abetuv abeuvw cnuvw bc bctu abcetuw ntw abentvw acenvw cenuvw euvw be abcuw abet abetv bceu abctuvw av bevw atuvw aeuw envw ctu cntv abnuvw nu acenvw auvw abcenw cuw abcvw acnvw bct cenuvw abcnt antu bcen nv btvw abnuv ceuv centuw cetuvw w cenuw abcent abcntuw abeuvw bce bent actuvw abentu cntuw bctvw acenvw acnuvw abcentv tuvw abcnw abevw ab2 aenuv abeuv acetuw abetw cntv ntuw aceuvw bceuw acntvw ntuv abcntuvw bentw abe b2e euvw bcentv abent abevw acetuvw abc aetuvw bu centvw cenu tv bcen cw aenu aeuvw enuvw abeuw nuvw abcenuv abcentv ctu betuw abcetu cv abcevw atuvw acntv abetv abcentw bet ab2n abeu bentvw bu abenw ctw buv abetuw bcen btv abew aentu bcnu ctuvw aben acetvw bcetuv bcenuvw ntuv auw cw aenu atu

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *512798
c2410
d244
e244
c2e2820
d2e288
f246
d2f248
e2f2812
d2e2f2816
aeg44
ad2eg88
i246
d2i2812