Details Page for 0.0145

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   3888
P-Portion Size:   491
Tame?   No

MSV File: q-0.0145.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
662
11102
17123
18163
246815
2711625
3218032
3319634
3422040
3525246
3626849
3754467
3860878
3966483
401250186
411274189
471330195
501458207
513352425
623448435
673608459
683688464
733736472
773840485
823864489
863888491

(Click on a heap to see details)

Details for Q82(0.0145):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z | a2=1, b4=b2, b3c=bc, b2c2=c2, c4=ac3, b3d=bd, c3d=ac3, bd2=b3, cd2=c, d3=d, b3e=be, bce=abe, c2e=b2e, bde=abe, be2=abc3, e3=e, bf=be, cf=ce, df=de, e2f=f, f2=d2e2, c3g=ac3, beg=abe, fg=d2eg, g2=ac3, b3h=bh, c2h=c3, d2h=h, beh=abe, fh=eh, dh2=ah2, h3=ah2, b2i=i, c2i=abc3, d2i=i, ei=be, fi=be, cdgi=acgi, cghi=acgi, i2=ac3, b2j=j, cj=ci, d2j=j, ej=be, fj=be, hj=hi, ij=ac3, j2=ac3, b2k=k, c2k=abc3, cdk=ack, d2k=k, ek=be, fk=be, gk=adgi, chk=ack, ik=ac3, jk=ac3, k2=ac3, b2l=l, c2l=abc3, d2l=l, el=be, fl=be, hl=hk, il=ac3, jl=ac3, kl=ac3, l2=ac3, b2m=m, cm=bc2, d2m=m, em=abe, fm=abe, hm=abc3, im=c3, jm=c3, km=c3, lm=c3, m2=ac3, c2n2=c2, ben2=be, bghn2=bgh, in2=i, jn2=j, kn2=k, ln2=l, mn2=m, bn3=bn, n4=n2, b2co=co, c2o=c3, b2do=do, d2o=b2o, beo=abe, ceo=b2e, deo=b2e, fo=ab2e, go=ac3, b2ho=ho, cho=b2cgh, eho=b2e, h2o=b2gh2, io=gj, jo=gj, ko=adgj, lo=gl, mo=abc3, n2o=o, bo2=abc3, co2=c3, do2=c3, e2o2=o2, ho2=c3, o3=c3, b3p=bp, c2p=c3, d2p=p, bep=abe, fp=ep, bgp=abc3, e2gp=gp, bchp=acgl, ip=bc3, jp=bc3, kp=bc3, lp=bc3, mp=abc3, bn2p=bp, op=ac3, p2=ac3, b2q=q, cq=abcl, d2q=q, eq=ab2e, fq=ab2e, gq=b2hp, dhq=ahq, h2q=ahq, iq=bc3, jq=bc3, kq=bc3, lq=bc3, mq=abc3, n2q=q, oq=b2hp, pq=ac3, q2=ac3, b2r=r, c2r=abc3, d2r=r, er=be, fr=be, gr=bdhp, chr=chi, ir=ac3, jr=ac3, kr=ac3, lr=ac3, mr=c3, n2r=r, or=bdhp, pr=bc3, qr=bc3, r2=ac3, b2s=s, c3s=bc3, d2s=s, es=be, fs=be, hs=bc3, is=ac3, js=ac3, ks=ac3, ls=ac3, n3s=ns, os=bc3, ps=bc3, qs=bc3, rs=ac3, s2=ac3, b3t=bt, c2t=bc2ns, bet=ben, d2et=et, ft=et, deht=aeht, eh2t=aeht, cgit=cgin, h2it=h2in, jt=it, ckt=ckn, h2kt=h2kn, d2nt=nt, bhn2t=bht, b2ot=ot, eot=ab2en, hot=b2ght, o2t=ac3n, dghpt=aghpt, bh2pt=bh2np, gh2pt=aghpt, hqt=hnq, h2rt=h2nr, mst=c3n, nst=abc3, bt2=bh2nt, dt2=at2, ht2=at2, it2=h2i, kt2=h2k, lt2=h2k, mt2=bc3, ot2=b2gh2nt, qt2=ahq, rt2=h2r, st2=abc3, n2t3=n3t2, t4=t2, bu=abc3n, c2u=ac3n, d2u=u, e2u=u, fu=eu, dhu=ahu, h2u=ahu, iu=abc3n, ju=abc3n, ku=abc3n, lu=abc3n, mu=bc3n, nu=ac3, ou=c3n, pu=c3n, qu=c3n, ru=abc3n, su=abc3n, t2u=ahu, u2=ac3, bv=be, c2v=b2e, d2v=v, e2v=v, fv=ev, gv=ab2e, dhv=ahv, h2v=ahv, iv=be, jv=be, kv=be, lv=be, mv=abe, n3v=nv, ov=ab2e, qv=ab2e, rv=be, sv=be, dtv=atv, htv=atv, ntv=b2e, ptv=aeghu, t3v=tv, uv=b2en, v2=ac3, b2w=w, c2w=abc3, d2w=w, ew=be, fw=be, cdgw=acgw, dhw=ahw, cghw=acgw, h2w=ahw, iw=ac3, jw=ac3, kw=ac3, lw=ac3, mw=c3, n2w=w, ow=gw, pw=bc3, qw=bc3, rw=ac3, sw=ac3, tw=bhpt, uw=abc3n, vw=be, w2=ac3, b2x=x, c2x=ac3n, d2x=x, ex=b2en, fx=b2en, gx=c3n, dhx=ahx, h2x=ahx, ix=abc3n, jx=abc3n, kx=abc3n, lx=abc3n, mx=bc3n, nx=ac3, ox=c3n, px=c3n, qx=c3n, rx=abc3n, sx=abc3n, tx=ac3, ux=ac3, vx=b2en, wx=abc3n, x2=ac3, by=abe, c2y=ab2e, e2y=y, fy=d2ey, gy=b2e, dhy=ahy, h2y=ahy, iy=abe, jy=abe, ky=abe, ly=abe, my=be, n2y=y, oy=b2e, qy=b2e, ry=abe, sy=abe, ty=egn2t, uy=ab2en, vy=c3, wy=abe, xy=ab2en, y2=ac3, b2z=z, c2z=abc3, d2z=z, ez=be, fz=be, gz=bc3, dhz=ahz, h2z=ahz, iz=ac3, jz=ac3, kz=ac3, lz=ac3, mz=c3, nz=abc3n, oz=bc3, pz=bc3, qz=bc3, rz=ac3, sz=ac3, tz=abc3n, uz=abc3n, vz=be, wz=ac3, xz=abc3n, yz=abe, z2=ac3>

P = {a, b2, ac, ab2c, c2, ac3, ad, ab2d, cd, b2cd, ac2d, d2, ae, ae2, ace2, ade2, cde2, d2e2, bg, b3g, bcg, ac2g, bdg, bcdg, ce2g, de2g, acde2g, ad2e2g, ah, ab2h, ch, b2ch, dh, b2dh, acdh, ab2cdh, ae2h, ce2h, de2h, acde2h, gh, b2gh, abcgh, e2gh, ace2gh, ade2gh, cde2gh, h2, b2h2, ach2, ab2ch2, e2h2, ace2h2, agh2, ab2gh2, bcgh2, ae2gh2, ce2gh2, bi, bcdi, abhi, bdhi, abcdhi, abdghi, bh2i, bj, bdgj, bk, abck, abdk, abhk, bdhk, bh2k, bl, abcl, abdl, bcdl, abgl, abcdgl, abm, bdm, abdgm, n, bcn, bdn, e2n, efn, agn, b3gn, abcgn, abdgn, bcdgn, ae2gn, abchn, abghn, bcghn, abcdghn, bch2n, bgh2n, abcgh2n, an2, b2n2, acn2, ab2cn2, adn2, ab2dn2, cdn2, b2cdn2, d2n2, aen2, ae2n2, ace2n2, ade2n2, cde2n2, d2e2n2, bgn2, b3gn2, bcgn2, bdgn2, bcdgn2, ce2gn2, de2gn2, acde2gn2, ad2e2gn2, ahn2, ab2hn2, chn2, b2chn2, dhn2, b2dhn2, acdhn2, ab2cdhn2, ae2hn2, ce2hn2, de2hn2, acde2hn2, ghn2, e2ghn2, ace2ghn2, ade2ghn2, cde2ghn2, h2n2, b2h2n2, ach2n2, ab2ch2n2, e2h2n2, ace2h2n2, agh2n2, ae2gh2n2, ce2gh2n2, n3, e2n3, efn3, agn3, ae2gn3, ab2o, bco, e2o, ho, adho, ano, b3no, abcno, bcdno, ae2no, abhno, no2, ap, ab2p, acdp, ab2cdp, acep, adep, ae2p, acde2p, gp, cdgp, hp, b2hp, adhp, ab2dhp, cdhp, cehp, e2hp, ade2hp, cde2hp, aghp, dghp, acdghp, ah2p, ab2h2p, aceh2p, ae2h2p, gh2p, cnp, dnp, ce2np, de2np, acgnp, adgnp, achnp, ace2hnp, cghnp, acgh2np, an2p, acdn2p, aden2p, ae2n2p, acde2n2p, gn2p, cdgn2p, hn2p, adhn2p, cdhn2p, e2hn2p, ade2hn2p, cde2hn2p, aghn2p, dghn2p, acdghn2p, ah2n2p, ae2h2n2p, ce2h2n2p, gh2n2p, cn3p, dn3p, ce2n3p, de2n3p, acgn3p, adgn3p, achn3p, ace2hn3p, cghn3p, acgh2n3p, aq, dq, hq, br, abdr, bcdr, abhr, bdhr, bh2r, bs, abcs, bc2s, abds, bcds, abc2ds, gs, abc2gs, cdgs, ams, dms, adgms, bn2s, abcn2s, abdn2s, bcdn2s, gn2s, cdgn2s, gt, nt, b2nt, acnt, ab2cnt, adnt, ab2dnt, cdnt, b2cdnt, e2nt, ace2nt, ade2nt, cde2nt, agnt, ab2gnt, bcgnt, bcdgnt, ae2gnt, ce2gnt, de2gnt, acde2gnt, ahnt, ab2hnt, chnt, b2chnt, dhnt, b2dhnt, acdhnt, ab2cdhnt, ae2hnt, ce2hnt, ghnt, b2ghnt, abcghnt, adghnt, ab2dghnt, e2ghnt, ace2ghnt, h2nt, b2h2nt, ach2nt, ab2ch2nt, agh2nt, ab2gh2nt, bcgh2nt, bint, abdint, bcdint, bdgint, abhint, bdhint, abcdhint, abdghint, bknt, abdknt, abhknt, bdhknt, blnt, abclnt, abdlnt, bcdlnt, abglnt, abcdglnt, abmnt, bdmnt, bgmnt, abdgmnt, n3t, acn3t, adn3t, cdn3t, e2n3t, ace2n3t, ade2n3t, cde2n3t, agn3t, ae2gn3t, ce2gn3t, de2gn3t, acde2gn3t, ahn3t, chn3t, dhn3t, acdhn3t, ae2hn3t, ce2hn3t, ghn3t, adghn3t, e2ghn3t, ace2ghn3t, h2n3t, ach2n3t, agh2n3t, anot, bcnot, dnot, cdept, cehpt, anpt, ab2npt, b2dnpt, acdnpt, ab2cdnpt, acenpt, adenpt, ae2npt, acde2npt, gnpt, cdgnpt, b2hnpt, ab2dhnpt, aehnpt, cghnpt, an3pt, dn3pt, acdn3pt, acen3pt, ae2n3pt, de2n3pt, acde2n3pt, gn3pt, adgn3pt, cdgn3pt, hn3pt, adhn3pt, e2hn3pt, aghn3pt, cghn3pt, ah2n3pt, anqt, dnqt, bnrt, abdnrt, bcdnrt, abhnrt, bdhnrt, bgst, bcdgst, t2, act2, e2t2, ace2t2, agt2, ae2gt2, ce2gt2, n2t2, acn2t2, e2n2t2, ace2n2t2, agn2t2, ae2gn2t2, ce2gn2t2, apt2, acept2, ae2pt2, gpt2, an2pt2, acen2pt2, ae2n2pt2, gn2pt2, nt3, acnt3, e2nt3, ace2nt3, agnt3, ae2gnt3, ce2gnt3, acept3, enpt3, acgnpt3, tu, actu, adtu, acdetu, agtu, cgtu, dgtu, ahtu, acehtu, ghtu, ev, acev, adev, cdev, aehv, cehv, en2v, acen2v, aden2v, cden2v, aehn2v, cehn2v, aepv, cepv, depv, ehpv, acdenpv, acehnpv, aen2pv, cen2pv, den2pv, ehn2pv, et2v, acet2v, bw, abdw, bcdw, bdgw, abhw, bcx, abchx, cey, dey, acdey, ad2ey, ehy, acehy, aeny, epy, acepy, cdepy, aehpy, cehpy, adenpy, bz, abdz, bcdz, abhz}

Phi = 1 1 a 1 a a be be be be abe b b a a c d e f abe be be be be g d2e2g c3 h b2e b2e b2e egh i j k l m n o b2p p q ab2e aegh abe abe abe r abc3 c3 s t ab2e b2e b2e abe ben ben be be c3 c3 u ac3n b2e b2e b2e v w bhp abc3 abc3 bc3 x ac3n ac3n ac3n y y ben ben ben z abc3 abc3 abc3

Monoid Structure

Idempotent  |G|  |Arch|
122
b2810
ac3 *163464
d244
e244
d2e2812
h226
b2h2412
e2h2412
n246
b2n21620
d2n2812
e2n2812
d2e2n21636
h2n2418
b2h2n2824
e2h2n2836
b2h2nt848
t2416
e2t2820
n2t2438
e2n2t2852