Details Page for 0.0702

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1312
P-Portion Size:   89
Tame?   No

MSV File: q-0.0702.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
10123
15163
18226
21388
22449
235011
2413031
3319434
3448465
3566277
4176682
4379884
4580685
5481689
19883289
43786489
91392889
3355105689
10462131289

(Click on a heap to see details)

Details for Q913(0.0702):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a2=1, b3=b, b2c2=c2, c4=c2, b2cd=cd, c2d=ac2, d2=c2, be=c2, c2e=bc2, de=abc2, e4=e2, cf=c2, b2df=df, f2=c2, b2g=g, cg=c2, dg=ac3, eg=bc3, fg=c2, g2=c2, b2ch=ch, c2h=bc3, dh=abc3, ceh=c2, e2h=e3f, b2fh=fh, efh=c2, gh=bc2, bh3=bh, ch3=ch, fh3=fh, h4=h2, bi=c3, ci=bc2, e3i=ei, fi=bc2, gi=bc2, hi=c2, i2=c2, bj=c2, c2j=bc2, dj=abc2, ce2j=bc3, e2fj=bc3, gj=bc3, hj=efj, eij=bc3, j2=e3j, c2k=ac2, b2dk=dk, dfk=acd, efk=ace, fhk=ach, dik=bc3, cejk=aij, e2jk=abc2, fjk=acj, ik2=aik, cdk3=acdk2, cek3=acek2, fk3=ck3, gk3=agk2, chk3=achk2, cjk3=acjk2, ck4=ack3, dk4=adk3, ek4=aek3, hk4=ahk3, jk4=ajk3, k5=ak4, b2cl=cl, c2l=ac3, dl=c3, el=ae3f, b2fl=fl, gl=ac2, b2hl=hl, ch2l=cl, fh2l=fl, h3l=hl, il=abc2, jl=abc3, fkl=acl, ck3l=ack2l, k4l=ak3l, l2=c2, bm=bh2l, c2m=ac3, dm=c3, gm=ac2, chm=chl, fhm=fhl, e2jm=abc3, fkm=acm, ck3m=ack2m, k4m=ak3m, lm=ae2fm, m2=c2, b2n=n, c2n=bc3, en=c3, hn=c2, in=c2, jn=c3, k4n=ak3n, ln=acdkn, mn=abc2, n2=c2, b2co=co, c3o=co, b2do=do, cdo=aco, ceo=bco, e3o=eo, fo=co, go=co, bho=co, cho=bc2o, eho=co, h3o=ho, io=bco, jo=bc2o, cko=aco, bk2o=abko, dk2o=adko, k4o=ak3o, lo=aco, cmo=ac2o, no=bco, o2=c2, bp=c3, cp=acjm, dp=abc3, fp=afjm, gp=bc2, hp=aefjm, ip=aijm, jp=c3, e2k2p=e2i, k4p=ak3p, lp=abc2, e2mp=mp, k2mp=e2im, np=c2, op=bco, p2=c2, b2q=q, cq=bc3, dq=acdkn, eq=c2, fq=bc3, gq=bc3, hq=c3, iq=c3, jq=c2, k2q=akq, lq=abc3, mq=abc3, nq=c3, oq=bc2o, pq=c3, q2=c2, b2r=r, cr=bc3, dr=dfn, er=c2, fr=bc3, gr=bc3, hr=c3, ir=c3, jr=c2, kr=acn, lr=abc3, mr=abc3, nr=c3, or=bc2o, pr=c3, qr=c2, r2=c2, b2s=s, c2s=s, ds=as, es=bs, fs=cs, gs=cs, hs=bcs, is=bcs, js=bs, ks=as, ls=acs, ms=acs, ns=bcs, ps=bcs, qs=bs, rs=bs, s2=c2, b2t=t, c2t=t, dt=at, et=bt, ft=ct, gt=ct, ht=bct, it=bct, jt=bt, kt=at, lt=act, mt=act, nt=bct, pt=bct, qt=bt, rt=bt, t2=c2, b2u=u, c2u=u, du=au, eu=bu, fu=cu, gu=cu, hu=bcu, iu=bcu, ju=bu, ku=au, lu=acu, mu=acu, nu=bcu, pu=bcu, qu=bu, ru=bu, u2=c2>

P = {a, ab, ab2, c2, e, ae2, e3, abh, bch, bfh, ah2, ab2h2, adi, j, aej, ae3j, k, bk, b2k, aek, ae3k, h2k, b2h2k, ajk, ak2, abk2, ab2k2, ek2, e3k2, abchk2, ah2k2, ab2h2k2, jk2, k3, bk3, b2k3, aek3, ae3k3, h2k3, b2h2k3, ajk3, ak4, abk4, ab2k4, acl, afl, ckl, acm, ace2m, afm, ae2fm, aehm, aeh3m, aeim, acejm, aefjm, aijm, ckm, ce2km, ehkm, eh3km, acek2m, ace3k2m, aehk2m, aeh3k2m, acjk2m, hk3m, h3k3m, bcn, abcdn, bfn, abdfn, bgn, abckn, bcdkn, ack2n, abfk2n, abgk2n, ck3n, bck3n, abko, bdko, k3mo, e2k3mo, h2k3mo, aemp, ekmp, bq, br}

Phi = 1 1 a a ack ack ck ck a c2 b b ck c3 c d ac2 c2 e f g h i j k ac2 c3 c3 ac3 aef ac2 ac2 bc2 l m n c3 ac2 ae3j c2 bc2 o ace3k p abc3 q ac2 ac2 abc2 c3 ac3 abc3 ac2o abc2 r ac3 abc3 c3 c3 ac2 ac2o c2 bc2 c2o ac2 bc3 abc3 afjm bc2 ac2 c3 c3 bc3 ac3 bc2o abc2 bc2 bc2 abc3 bc3 c3 c2o ac2o c2 bc2 aco ac2 bc3 c2o bc2 bc2 ac2 aco c3 ac3 ac3 c2o c2o ac2 ac2 abc3 bc3 c3 c2o ac2o c2 bc2 co ac2 c3 c3 bc2 bc2 ac2 aco c3 ac3 ac3 ac2o c2o ac2 ac2 aco c3 c3 bc3 ac2o c2 bc2 co co c3 c3 c2o c2o abc2 ac2 co ac3 ac3 c3 c2o bc2 bc2 co bco bc3 bc3 ac2o abc2o bc2 aco aco c3 abc3 bc3 c2o abc2 aco co ac3 bco c3 ac2 ac2 bc2 bc2 aco bc3 bc3 ac2o abc3 abc2o bco aco ac2o abc3 ac3 bc2 ac2 aco abco co abc3 abc3 abc2o abc2o bc2 bc2 aco bc3 bc3 bc2o abc3 bc2 abco bco bco s abc2o bc2 as cs bco co abc3 abc3 c3 cs as bco acs bc3 c2o bc2o ac2o bc2 bs bco aco abc3 abc2o bc2 abc2 cs abco co acs abs ac3 c2o bco abc3 aco bc3 as bc2o ac2o bc2 os bco aco cs c2o c2o abc2 abs abco co bco aos c2o c2o acs s aco aco c2o acs ac2o s as aco aco cs os c2o c2o abs s co bco os ac2o c2o bcs s aco ac2 os acs ac2o c2o cos c3 aco abco c2o ac2o bc2o as s co bco cs abc2o c2o c2 bc2 abcs ac2 os bos ac2o c2o cos c3 aco abco os acs c2o abs acos co aco cs ac2 bc2 bs bs abco ac2 bco bos ac2o c2o cos cos bco os os bc2o c3 ac2 cos bco aco cs ac2 bos ac2o acos abco bco bco aos abc2o c2o bs c3 aco ac2 c2 acs c2o abc2o cos bco aco ac2 ac2 abc2o c2 bs abcs aco aco bos bc2 c2o bs acos bc3 ac2 c2 bc2o c2o c2o bcos s aco ac2 ac2 abc2o c2o abcs abcs co aco bc2 bc2 c2o bcos as bc3 bc2 abos os c2o c3 abcos abc3 aco abcs ac2 bc2 bc2o bcos s co aco bc2 bc2 abc2o bs c3 abs ac2 abcs bc2 c2o abc2o abcos abc3 aco abco ac2 bc2 abc2o abc2o s bs aco bc2 bc2 acs t bc3 bc3 bco aco bos bc2o cs abc3 cos bco bc2 abos ac2 abc2o abc3 t acos aco bc2 cs acs t bcos s ac3 bs aco abcs ac2 abc3 abc3 bco bc2 abc2 aco cs abcs c2o c3 bco bc2 cs acs t t bcos bco ct ct abcs cs ac2o bco s ct abc2 bc2 cs abcs c2o abc3 as co co acs t bc3 as as ct ac2 ac2 cs ac2o ac3 s s abc2 ac2 bc2 bc2 c2o abc3 as co at acs cs bc3 abcos abc3 bs ac2 t cs bcs ct s s abc2 ac2 bcs bc2 bt bs bs bos c2 bc2 bcs t c3 abc3 as abt bct cs bcs aos abc3 s as ac2 cs bc2 abc3 act as abs bc2 bc2 cs cs c3 abc3 acos bc2 ac2 c2o bt at bc3 cot as acos cs bc2 acs t as ct bc2 abcs bcs t c3 abc3 abc3 bc2 abt cs ot at bc3 bs s act ac2 abt abcs t as act ct abcs bot acs t abc3 acos bcos bc2 bcs bcs abcs abt abt as acot c2 abcs acs c2o t abt ct ct ac2 t bco abc3 abt abc2o ot ot bcs abcs cot cot as as abct abos bco abt t abc2o cos aot aot ac2 bco cot ac3 abc2o c2o ot abc2 abt os cot bcot abc2o ot ct bco cs t abc2o bcot c2o aot st t c3 s as as acos abc2 aos aco bcot ast abc2o ct ct bco co ac3 abt c2o c2o aot act os co s abc3 as ac2o ot aos aco cot st abc2o ac2o abt bc2 aco abcot cot c2o c2o bcos aot os co bos abc3 cot cst cs bst co abcs as acot ac2o bcos aot abos os cot acot bc2 cst abct ot c3 bos cot abc2 bc2o bct abt st bco cot abc2o cos bcos bct bos bos abc3 cot bs aot acos ot co abcs abt cot as bot bst abot os abcst acot bc2o ot aot bco aco abos t bc2o s acos ot os aos abt cot as st bco acs os os bcot abcst bs aot act os os abt bcos as as t aost co cot cot acos bcos aot abos aos os bcot cos ac2 aot bc2 os abos abcst s cos acos ot ot os aos t abs acos bct abc3 abos os acot bc2o cos c2o act os os abcot bc2 cos as as ot abcs abcs cot t bc2 bs bct bos aco bcs at abt cos abot abct abos bos acot cos c2o as ct acs aco cot abc2o bcos bs bs st os os abt t cos aot abct ast abcot bc2 bc2o cst acos ot s aco cot t abcst abt ot ast bos bos u abt s aost as co abcs acot t c2o abs abst bct bco aos abcot t abc3 aost bst abct bos abcot abcs t as ast st bct abcs abcst bt as bot bs bco aos ac2 abcot bs bs au act cs abcost bc2 t abcos abs ot abcs ast acs c2o u bs bct abst act ac2 at acst ac3 abc3 act bct bcs abcs t bost abcos u u abcs acs bc2 c2o bs bct st abco ac2 abcst abt s abc3 u aco ac2 ac2 t bcot acos bc3 bct bct cs bc2 abt ac3 c3 ct bc2 cs cs abt u ac3 as bct acs ac2 acu bcst as c3 ct abcs acs cot abt cst abc3 bct abct abcs acu abt bost s abc3 bct bst ac2 acs bt abcos s ac3 abcs acs bc2 bt cos abc3 abot act st cs abt u s abc3 bot abct cs acs acu bt s abc2o bst abcs ac2 cs abt s ac3 acos bcost cs bc2 at bost abc3 ct bct cs acu bcu t bc3 u bcost abcs bc2 cu abt s abc3 u act bcs abcs abcs s abc3 c3 ast c2o acs cst t bost bc3 ct abot c2o cu t u bs s st cs bc2 abcs bs abcos as ct ct c2 acu aost abs s ct abct c2o bcs abcu bost s aost bct bcost cs ac2 cot abs as u u acs cs abcot abs bs abc3 abc2o abcs bst bcs aos bs ac3 au ac2o acs c2 t au bost abc2o abot abcs aos bc2 abt bs bs abc2o act abcost abc2 acot cot abc3 bc2o ac2o cs bc2 bt bt as abost u cost cs bos bco abcot bs abct bct cu acu abt cst bs c3 ot abcs abcost os bos acot u c2o bct ac2 t abcot abt s abc2o acos bcs acu abos acst cst c3 bc2o ot ast aos cu abco bs bcos bct abot aos bcu aco u abc2o bot bcs bcost aos bco acot acos bcos abot acs cu bcot cot abcot cos bcost aot cu bco abcot aost au abc2o bcs ot bc2 os bs abcos acos abcs aot bc2 bos bcot cst cos cos aot bcs abt cot cot acos acos bcs ot os aos bcot acot u abc2o bot abst aos bcot cot bcos cos au bst acs abos acot cot abcos ac2o ot aos bco ou acot u cos bot abot aos bcu acot bost cos au st acu abos bou cot abcos bc2o ot abcost os ou cot u as abc2o abst cs bos acot acst cst abu ct abst os cu cot acou acos cou bcost aco au bcot bcst cos bcos aot bos abos abcot acot bcos abc2o bcu abot abos cu aco acst cos cou bu act aco u u cos cos abcou abct abos bcot acot bcos abc2o abot act aos bos cot bt cos bcos ot abos bos bcu abt cos cos aot aot abc2 os abcu abc2o bcos acos bct bct bc2 cot bt ac2 bcos ot abst st cu abt abt cos aot bcost st aos abcu bcst c2o acos abot ast os bcs bcst aost u ot st abct bos abou acst bt au st abct aou abcu at t bu abs ast ast bcot acu abcst abt bs au bst cu cu bcs su aot st bct acu bcot bou t cou acos abst abct aou acu acst cos bs au act abct os acu t bcos abu bst st abcu aou bt abost acos bot st act bcost bou bcst cou abcou bst cost acu bost cst acst au bst acost abcs ou bcu t au u abst abct bcs abcu bcst ost au bcost ct aou bcs abcs t acos abcou st aos acs acu t aost u ast ct aos acu at cos abu act ct bco acu t t abost s ct aos bou cu t at u abcsu act bst cu t abt abu u abct bct acu acu bc2 abcst bs acsu acsu abct bcs su ac2 as bs st bos cu abcu t abt au csu abct bou abcs bt abost abost u acost abst cost bcs abt bs as csu bcost bcost cu bcst abt au u act abst abcs acst t abost u ct bct acs cost bcst as bs au bct st acost abcu abt bs as ct cs cs acu abcot u u bu bcsu cost bcs at su s au abu cs bcs cu bou t as csu bct bou acu at ost abs as ct ot cu aou abos bs abu ct bcost cs acost su s abs act ast ast acs aou at abs abs act abot cost cs cst bcot acou bst aosu bcs c2 su s abcot cou cou aot abcs acu bsu bs bost bct act bcs cs bcst bt as c3 act abct abot cu cot bs abs u bot bcs acu asu ost bost au abot cs cu acu ost as abcou csu ot abcs bcu abost cot s u acou ot bcost cu co ac3 cou csu aot abcu acu ost acot acos u abcost aot cs su ost cot u acou abot tu acu bc2 acot as au cost bcs aou cu aost bs u csu aot abcu acu abost abs u abst cost ac2 cu aou ost cot u cost bcs abos cu aos abost abcou csu ot ac2 abos absu cot s abcou bcost bot cu bou bost ost abu cost ot acu acu abcot aost u u abcs aot bos aou ost abcot au au bot bcost bcu ost bcot s abcos cost ot bou aost acot abcou cou acost bot bcu ou bou abcot abcou bcost aot ot act bcu abcot abcot cou aot bcost bou cu os acosu acou acou abcost os aou bsu acot cst cou cost abot abcu bcu cosu bcos cou bu aot abos abos bcu aost cos u bcos tu aou bos absu bcosu abu cou bst tu abou bost cot abcou abcos bot bot bcu acu cosu abcosu cst bot bot ct aou abcot as acou au ot abos acu aou abcot acos acou acsu acost abos bct co acos bcou abu osu cost aou bost bt t acou cou abot ast su bost acst bcos u bct act aou bou cst cos abu bot st aos ou cst cos abcos cou ot abos acu asu acst abt bcos abst aos act bcu cst t acou au ct aos bou bost at bt abu act aos abcs ou acst t cou acsu aos abco aou cst t aosu abu abct abct abcost acu bt t abcos csu ct aos ou bcst abt osu u bst os aou asu abt abt abcou cost act act bcu acst t abcou au abos act acu abcst acot bcos u bst act aou cu abt bcos abcou u act act acu cosu cs bosu u ac2o ct bcu absu bcos abt acsu abu abos act cu abcst abt t u csu os ou bcu abcos acos au abu co abc2 bcu acos at abctu abu aco act cu acu abt acou abs bcsu act atu cu bt abcos cou bu acsu ct cu acos t abcou cou bst act atu acu acst cos u u bct ct ou bcu t bcst abu bct tu aou bcu su bt csu u act act bou abt acos abs u st act btu bcu acst as cou bu act bst asu at at bctu u bst tu bot cosu bc2 t abu ast ct ct abot bcst ctu ctu au bct act bot abou t actu csu csu st bct ou ac2 bt bctu csu ct tu bou bcu t s acsu csu st bot abcs su as abu abct abct acs abot asu abt ctu abu aosu tu btu t bcst at cot u csu abcs abcs su bs t au abst cs bcos bou aost abs abcot u bot cs bou su at cot cot cost abct acu bcu bs abs aost cou acs acs cu bsu acot bcot abcou tu cs bou su acot as abcou csu cs aot bou bcst as aost au bct abcs aot absu abcot bs u abcou bcs ot aou ctu ost cot u cs ot bcu bsu t as abcot osu ot bot cu as as bost abu bcs ot acu bcosu abc2 abost u cou cs abcost bou s cot abcou acsu ot aot acu abost acot abcot abcou aot abcs abcosu acu as cot bosu cs acs cotu acu bou as csu bu bot abcs aot bcu bs cot abu acou cs aot acu absu cot abu cou cs bcs bcosu su as abcot acou btu cs abot absu acot cot abosu csu abot ot absu bs bs cot u bot acs cotu bcu as ac3 acot abu aot aot bcu su ost au abcou cs bc2 bou aou aou c3 u cou acs abc2 su ost as u abu abcou abc2 cosu asu s cot acsu abcs aot acost su bc3 abs botu abu ot bot bos acu cot at acou csu aot abct abcu abcot cot abu bcsu bct bot cosu abou as bs aosu ot bot tu as aou abt t bu aot abos su bou bcot acst csu acost bct ct abcu bcot cot abt u bot abct acu acu abt at cs abot act bcosu cosu bctu cot cs cou cotu abct as as cot abt bcsu osu act act abs abt abcst t u abtu ct bs bcot abt cs cou ot bct asu cu bcos abcst abcs abcou bos act abou bctu abt t cs abos ct bs ou cot t bcsu aosu bct acost cu cot abcos abcs u os act ast bcu cst acst csu acou abct bs absu acst at abt bcsu tu abct absu su at at cou acsu os act su aotu bt abu acsu abos ct asu absu bc3 bt acsu abosu bos as cu acos at abcsu cou bct abos acu su acos t bcou abos ct acosu ou t at cou abcou os act bcu ou abcos t abcou os abos abst bcu bt acos acsu os co bst acu acosu t acou acsu os act otu bou ac2o t cou bos aco ct bcu abcos t acst abcsu aco act asu acos c2o t cou au aos act bou cos at abcst bos abos ct bcosu bou t cst acsu abos abco bst bou c2o bcos acsu abu bos bct acu at bc2o osu au os abos acosu bcos acos bt cst aos co abot ou bcos abc2o abt csu aos bct absu abou bt t u abos ct atu bcu abcos bt cst aos aos act aot abt abc2o bcst csu au act bot abcu ac2o t bcsu os abos ct absu acos bt abt ost bos aco st acos t abt cot bos aos bct asu bcos acos bcot u bct abct aot acos actu ac2o abctu abos aco aot bsu abou cst ctu abcsu abco bct cos bcos acosu cot abu osu atu aot acu bou at aos abos tu abct bot at bcos abcst csu abu ct ot bcu abctu bt acot bct cotu aot bcu bcos bs abt bcou os abst bot abcost bctu cot cot abos abcs ot bou bou bt s ost aosu cost acos acu acu abt acot os tu ot abcost abcos cot abcot acou bct ot ot abcu cot aost aos acsu act aot abot cot acot acot csu abosu bct aot su t cot acsu bcsu abcs aot cost bcosu ost cot au tu aot cstu acu abotu t aost atu abcs bot su ctu t cot bu abcs ot bcu bcu bs cot au cou aot ot acu bs at abcot u cost ot bot su bs abcst bu csu bcs aot cost bcot bs ost abcou bcs abcs cosu bou abs cot au abcs abcs bot cotu aost t bu abcou bot aot bcu bou bcot cot acsu abcs ot acu bsu abs c3 au osu bcs cost bcu as cot acot u abcost ot bcotu bcu cot cot osu u ot bc2 su as bc3 cot u acs cost cost bou s cot abt acs cs abct acu s abc3 bu bcs abot ct acu as aost bcot au acs acs abct acu bctu abc3 osu osu cs act abcu cosu cot abcot abcou abcs bot acost bcu absu cot u acsu bcs cost bcosu bs bctu bctu u abot bot bct abcu abc3 ost abcsu cs abot bct asu abcosu bost otu au bot act act su abcot at u cs aot ct su bs abcot bcst abcou abcs ct abct as as aost at bcs bos atu bs otu t abu csu bos ot asu abcosu t acst osu osu act abct acu acosu abcst acsu acou aot act su cosu t t bcs cotu cotu bct acosu as bt botu abcs cotu abct abs acosu bcst bost acou abcou act btu aou at t cst osu btu act abcu abs t t abcsu bosu ct ct asu at ctu bcst abcs st ct bcos bcosu cst bosu osu bos bct cstu cosu abt at abcou osu ast abs acu bs bcos bcst abcs act ct bct cosu acst t cou bcou bct abct su botu at bctu abos btu abs acosu abcos bcos at acs aosu ct bou abcu abctu abcos acs abcsu abos abct su aou bctu abt bcsu abcou bco act acosu otu t abcs acou abct ct bou abotu cst acst acou atu abct acstu su bcos cst abcsu bcsu abct act bsu abctu bcos bcst abcou aos st aou bcu bstu bt abcsu acou abst abco absu abou cos abctu abcsu abco abct bou cosu c2o acst csu os ast ast cos abcos abc2o abcot aos act act abcu aou at ac2o aosu acsu act st abcu cos t csu bcou aos abst bsu aou acos bcst abosu bos act cotu abou acos ac2o abcou aosu st act cosu cos c2o csu osu bcou co su acosu t acst bcsu abos ct atu abcu su at abosu acou acotu abst su ou bcos bcst acou cou ct abot aou acu bctu csu aos bst abco asu abcos bcos ctu acou aosu abst acotu ou abcos acst acot bos abos tu acosu ctu abcos abcot acsu osu aot abst bcos cos abotu bcsu abos u bot abou cos ctu aotu bos aosu abos bot acos bt at abotu aos btu btu cstu cos ctu cot bu

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *128810
e246
h246
b2h288
e3j48
ae2k3418
ah2k3418
ab2h2k3824
k428
b2k4416