Details Page for 0.1062

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1056
P-Portion Size:   122
Tame?   No

MSV File: q-0.1062.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
13102
19184
22325
2619624
2920025
3055871
3157675
3267690
3375294
3478696
351056122

(Click on a heap to see details)

Details for Q35(0.1062):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a2=1, b5=b3, bc2=b3, c3=b4c, b3d=b4c, bcd=b4, b2d2=b4, c2d2=b4, bd4=cd3, cd4=bd3, d6=d4, b2e=ab4, c2e=ab4, cde=ab3, bd2e=ab3, d5e=d3e, e2=b4, bf=ab, cf=ac, df=ad, ef=ae, f2=af, b3g=ab4, b2cg=ab2d, c2g=ab3, b2dg=bde, bd2g=d2e, cd3g=d4e, bdeg=b3c, d2eg=cd3, cd2g2=bdg2, d3g2=d5, bceg2=ab2d, deg2=cd2g, b2g3=ab3, bdg3=d3e, cdg3=d4e, d2g3=d4g, fg3=ag3, bg4=cd3, dg4=d5, ceg4=bde, eg5=cd3, g7=g5, b3h=b3c, bch=b3, c2h=b4c, bdh=b4, cdh=b3c, d2h=cd2, ceh=ab4, deh=ab3, b2gh=ab2d, cgh=ab3, dgh=cdg, begh=b4c, fgh=agh, bg2h=ceg3, eg4h=ab4c, g6h=g4h, h2=b4, b2i=b2d, d2i=b2d, bcei=ab4, dei=ac2di, fi=ai, bcgi=abdi, bdgi=ac2di, cdgi=ab2d, begi=b3c, ceg2i=abdi, bg3i=ab3c, dg3i=ab3, cg4i=b3, eg4i=ab3c, g6i=g4i, chi=c2d, dhi=b2h, bghi=abdi, eghi=abehi, g3hi=ab4, c2i2=b4, bdi2=b4c, cdi2=b3, bgi2=ac2di, dgi2=bde, cegi2=bci2, g2i2=b4, bhi2=acgi2, ghi2=cgi2, bci3=c2di, di3=c2di, cgi3=cg3i, i4=b4, b2j=b4, bcj=abce, c2j=b4, bdj=abde, cdj=b3, d2j=ad4e, ej=abeg, fj=aj, dgj=adeg, bg2j=abeg2, g3j=aeg3, chj=b4, dhj=b3, bghj=bde, g2hj=aeg2h, bij=abei, dij=c2di, gij=aegi, i2j=aei2, j2=beg, b2k=ab4, bck=ab3c, c2k=ab4, bdk=bde, cdk=ab3, d3k=ab3c, bek=b3, cek=b4c, dek=eg3h, fk=ak, bgk=b4, dgk=abde, egk=ab3, g2k=ab2g2, hk=ab2c, bik=ab4c, cik=ab3, dik=ac2di, eik=b3c, gik=abde, i2k=ac2di, jk=aek, k2=b4, b3l=ab3c, c2l=ab4c, b2dl=abdi, bd2l=ab2d, cd2l=b2cl, d3l=abd2, bdel=c2di, d2el=abde, degl=bcegl, b2g2l=aegi3, bdg2l=ac2di, eg4l=abeg3l, chl=ab4c, dhl=cdl, ehl=ab2cl, g4hl=cg6l, bcil=bde, bdil=ab3c, cdil=b2hl, beil=abehi, ceil=c2d, bgil=aceg3l, dgil=b2gl, egil=bcegl, g3il=acg4l, bhil=bde, ghil=cgil, bi2l=cgi2, ci2l=cg3i, di2l=abdi, hi2l=ab4, gi3l=c2di, bhjl=abdi, cijl=ac2d, hijl=ab3c, bkl=c2i, ckl=ab2cl, d2kl=abde, ekl=ab4c, gkl=ab2gl, ikl=bdi, b2l2=b2g2, bcl2=ceg3, cel2=bde, del2=cg2il, bdgl2=cg2il, cdgl2=ac2di, d2gl2=ag2hi, egl2=b3, fgl2=agl2, g2l2=b4, hl2=cl2, bil2=bg2i, cil2=g2hi, dil2=dg2i, eil2=ab3c, gil2=ab4c, i2l2=b4, bjl2=abel2, cjl2=abde, djl2=b3c, gjl2=ab3, ijl2=b3c, kl2=bgl2, bdl3=ac2di, bel3=eg3h, bgl3=egi3, jl3=ael3, l4=b4, bm=beg2l, c2m=b4c, dm=bd2, em=ab4c, fm=am, cgm=ceg3l, g4m=bd3, hm=b4, cim=bci2, gim=ac2di, i3m=b3, jm=eg3i, km=ab4c, clm=ab4c, glm=abk, ilm=ab3c, l3m=ab4, m2=b4, b2n=ab3, bcn=ab4c, c2n=ab3, cdn=bn, bd2n=bn, d4n=d2n, ben=b4, cen=abeh, d3en=den, fn=an, bgn=d2en, d3gn=dgn, egn=bn, dg2n=d3n, cg3n=cgn, g5n=g3n, bhn=ab4c, chn=ab3, dhn=bn, ehn=abeh, g3hn=ghn, bin=ab3c, din=ab3, cgin=b3, g3in=gin, ghin=b3, ci2n=cgi2, gi2n=b4, hi2n=cgi2, bjn=ab4, djn=aden, gjn=abn, hjn=cjn, kn=b3, bln=b4c, d2ln=abdn, eln=cjn, dgln=ad2en, cg2ln=cln, hln=cln, ciln=b4c, giln=acln, i2ln=acgi2, jln=acjn, cl2n=ab3c, dl2n=bde, gl2n=b4, il2n=ab4c, cmn=ab3, gmn=den, imn=ac2di, lmn=b3, n2=b4, bo=ab2, c2o=ab3, cdo=ac2di, d4o=acd3, deo=abde, fo=ao, d3go=ag3m, ego=abeg, dg2o=abd3, cg3o=abcg3, g4o=acd3, cho=ab3, dho=ab4, eho=abeh, g3ho=b4c, cio=abhi, dio=abdi, g3io=b3c, hio=abhi, ei2o=ei2n, gi2o=c2di, i3o=i3n, jo=aeo, ko=abk, d2lo=b2d, celo=abcel, g2hlo=cgl3, eilo=behi, gilo=acgl3, i2lo=acgi2, dl2o=al2m, el2o=b3, cgl2o=b4c, il2o=aegi3, cl3o=cgl3, gl3o=ab4c, cmo=abdi, gmo=abeg3l, imo=ac2di, lmo=b3, no=abn, o2=b4, bp=ab2, c2p=ab3, dp=abd, fp=ap, gp=abg, chp=ab3, ehp=b3c, eip=abeg3l, hip=abci, ci2p=abci2, i3p=abg2i, cjp=acep, hjp=ab2d, ijp=aeg3i, kp=abk, celp=abcel, hlp=abhl, cilp=abde, i2lp=bci2, cl2p=aceg3, el2p=b3, il2p=abg2i, jl2p=ab3, mp=abeg2l, np=abn, cop=b2h, eop=ab4, hop=b2h, iop=b2d, l2op=b2g2, p2=op, b2q=b3c, bcq=ab2cl, c2q=c2i, bd3q=cd2q, cd3q=bd2q, bdeq=ab3, d4eq=d2eq, fq=aq, cd2gq=d3eq, begq=b3c, cegq=abcegl, degq=cd2q, bdg2q=cd2q, d2g2q=d4q, bg3q=d2eq, dg3q=d5gq, eg4q=d2eq, g6q=g4q, bhq=ab2hl, chq=bci2, eg2hq=abdi, g4hq=cd2q, biq=bdi, diq=b3c, ceiq=bde, cgiq=ab2d, egiq=b3, g2iq=b2g2, hiq=cdi, i2q=b2d, bjq=abeq, cjq=aceq, gjq=aegq, hjq=aehq, ijq=aeiq, bkq=ab4c, ckq=abdi, d2kq=ab3c, ekq=c2i, gkq=abeg3l, ikq=ac2di, bdlq=ab2d, cdlq=aeghq, d2lq=abdq, belq=ad2k, celq=bci2, delq=abde, eglq=ab4, bg2lq=ac2di, cg2lq=agi2l, dg2lq=aeg3q, g3lq=ad3eq, ghlq=cglq, eilq=abeg3l, djlq=ab4c, klq=abk, bgl2q=ac2i, cgl2q=ab4, dgl2q=dglo, il2q=b2g2, bl3q=cg3i, cl3q=abci2, dl3q=al2m, cmq=b3c, imq=b4c, lmq=ab3c, d3nq=dnq, d2enq=enq, cg2nq=cnq, g3nq=gnq, hnq=bdnq, inq=ab3, jnq=aenq, clnq=b4c, dlnq=abnq, glnq=adenq, l2nq=bde, mnq=bdnq, d3oq=ag2mq, eoq=abeg3l, cgoq=bdi, g2oq=aeg3q, hoq=bcegl, ioq=abdi, loq=ad2k, moq=ab4, cpq=b2cl, epq=b4c, hpq=b2hl, ipq=abdi, jpq=ab4c, l3pq=c2di, opq=b3c, bq2=b3, dq2=b2d, eq2=ab4, cgq2=ab2d, g2q2=b2g2, hq2=cq2, iq2=b3c, jq2=b4, kq2=ab4, clq2=aeghq, l2q2=b4, mq2=b4c, nq2=ab3, oq2=ab3, pq2=ab3, q3=b3c>

P = {a, b2, b4, c2, d2, d4, ade, ad3e, f, g, abdg, acd2g, beg, afg, ag2, b2g2, d2g2, fg2, g3, beg3, ag4, g5, ag6, ch, agh, ag3h, ag5h, bi, acdi, dgi, egi, bg2i, cg3i, abhi, i2, agi2, ahi2, bi3, dj, abgj, ak, ad2k, ek, al, bcl, ad2l, del, acgl, bdgl, cegl, ag2l, bcg2l, ad2g2l, ceg3l, ag4l, g5l, ag6l, ab2hl, fhl, ghl, bil, acg2il, gi2l, djl, acgjl, ahjl, l2, d2l2, afl2, agl2, jl2, al3, ad2l3, am, ag2m, ai2m, alm, n, abdn, agn, d2gn, g2n, ag3n, g4n, ahn, ag2hn, acin, ein, acijn, agln, ag3ln, g4ln, amn, d2go, ag2io, ailo, gl2o, cip, op, abq, acdq, ad3q, ad5q, cg2q, acg3q, acg5q, eghq, g3hq, iq, dkq, ablq, dglq, cilq, dl2q, agmq, ag3mq, acnq, adgnq, coq, pq, lpq, q2}

Phi = 1 a 1 1 1 b b b ab a a a 1 c c b b b d e b2 f g h ab b i b j k l m n o p q

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *81010
d4826
af22
g6416