Details Page for 0.335

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   3310
P-Portion Size:   558
Tame?   No

MSV File: q-0.335.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5144
11224
13306
145410
155810
187812
2110617
2215825
2327043
2547075
26702108
271070165
281078166
291534261
303310558

(Click on a heap to see details)

Details for Q25(0.335):

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, b2c=c, c4=ac3, b2d=d, c3d=bc3, d2=abcd, b2e=e, c3e=abc3, de=abce, e2=abe, f=b, b2g=g, c3g=abc3, c2eg=ac3, cg2=c3, dg2=abc3, eg2=abg2, g4=ac3, b2h=h, c2h=ac3, cdh=ac2d, cegh=bg3, g2h=abg3, ch2=c3, dh2=c2d, gh2=acgh, h3=ac3, b2i=i, c2i=c3, cdi=abc2dg, cgi=bc3, dgi=ac3, egi=abgi, g2i=bg3, chi=abg3, ghi=ag3, h2i=bg3, i2=ac3, b2j=j, c3j=bc3, dj=abcj, ej=abj, c2gj=c3, g2j=bcgj, hj=acj, gij=bcij, j2=bc2j, b2k=k, ck=acei, dk=bcei, ek=abk, g2k=g3, ghk=abg3, h2k=g3, ik=abc3, gjk=cij, k2=ac3, b2l=l, cl=abc2j, dl=c2j, el=abl, gl=ac2j, hl=bc2j, il=c3, jl=abc3, kl=bc3, l2=ac3, b2m=m, cm=abcei, dm=cei, em=abm, gm=bgk, hm=bhk, im=ac3, jm=bjk, km=abc3, lm=c3, m2=ac3, b2n=n, cn=cj, dn=abcj, en=abn, g2n=abc3, ghn=c3, h2n=abc3, gin=ac3, hin=bc3, jn=ac3, gkn=abc3, hkn=c3, ln=abc3, mn=in, n2=ac3, b2o=o, co=acei, do=bcei, eo=abo, go=bgi, ho=aehi, io=abc3, jo=jk, ko=ac3, lo=bc3, mo=abc3, no=bin, o2=ac3, p=l, b2q=q, c2q=c3, dq=abcq, eq=abq, cgq=acij, g3q=abc3, chq=ag2q, ghq=abg2q, h2q=g2q, iq=bcij, jq=bjk, kq=abc3, lq=c3, mq=ac3, nq=bkn, oq=abc3, q2=ac3, b2r=r, c2r=c2j, dr=abcr, er=abr, g3r=abcij, cghr=bcij, h2r=achr, hir=bjk, jr=bc2j, gkr=bgir, hkr=jk, lr=abc3, mr=bkr, nr=ac3, or=kr, qr=bkr, r2=ac3, b2s=s, c2s=bc3, cegs=abc3, g2s=g3, chs=ag3, dghs=acdgs, eghs=g3, h2s=g3, cis=bc3, dis=abcdgs, eis=abcij, gis=c3, his=abc3, js=jk, ks=bcij, ls=acij, ms=cij, ns=bin, os=bcij, qs=cij, rs=kr, s2=ac3, b2t=t, ct=abc2j, dt=c2j, et=abt, gt=ac2j, ht=bc2j, it=c3, jt=abc3, kt=bc3, lt=ac3, mt=c3, nt=abc3, ot=bc3, qt=c3, rt=abc3, st=bc3, t2=ac3, b2u=u, c3u=ac3, c2du=abcds, c2gu=abcgs, cdgu=abdgs, cegu=bc2eu, g3u=abc3, chu=ac2u, dhu=acdu, ehu=abegu, ciu=abis, giu=acij, hiu=bis, c2ju=acij, gju=bcju, iju=cij, ku=cju, lu=abcju, mu=bcju, gnu=abin, hnu=in, inu=abc3, ou=cju, qu=bcju, cru=cju, gru=bcju, hru=acju, iru=cij, su=cij, u2=ac3>

P = {a, b2, bc, c2, ac3, ad, abcd, bc2d, abe, ace, abc2e, abc2g, cdg, ac2dg, g2, abg3, h, ach, bdh, abeh, bceh, abgh, bcgh, adgh, egh, h2, abeh2, abi, ei, abdhi, aj, cj, bc2j, bgj, gk, abhk, l, bn, bhn, akn, ao, abq, gq, abhq, ar, cr, bgr, ag2r, ahr, chr, bghr, bs, cds, aes, acgs, dgs, adhs, ghs, t, abu, bcu, adu, eu, aceu, gu, bdgu, abegu, abhu, biu, diu, aeiu, aju, cju, anu, atu}

Phi = 1 a b ab b2 c d e b2 be b g h i j k l m n o l q r s t u

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
ac3 *4460
abe44