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 Q23(0.335):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a2=1, b3=b, b2c=c, c3=ac2, b2d=d, c2d=bc2, d2=abcd, b2e=e, c2e=abc2, de=abce, e2=abe, f=b, b2g=g, c2g=abc2, cg2=ac2, dg2=bc2, eg2=abg2, g4=c2, b2h=h, c2h=c2, cdh=abc2, ceh=abch, cgh=ag3, g2h=abg3, h2=ach, b2i=i, c2i=ac2, cdi=bc2, cei=abci, cgi=abc2, dgi=c2, egi=abgi, g2i=bg3, chi=abg3, dhi=g3, ehi=abhi, ghi=ag3, i2=c2, b2j=j, c2j=bc2, dj=abcj, ej=abj, g2j=bcgj, hj=acj, cij=bcgj, gij=cgj, j2=c2, b2k=k, ck=bci, dk=aci, ek=abk, g2k=g3, ghk=abg3, ik=bc2, jk=bij, k2=c2, b2l=l, cl=ac2, dl=bc2, el=abl, gl=abc2, hl=c2, il=ac2, jl=bc2, kl=abc2, l2=c2, b2m=m, cm=ci, dm=abci, em=abm, gm=bgk, hm=bhk, im=c2, jm=ij, km=bc2, lm=ac2, m2=c2, b2n=n, cn=cj, dn=abcj, en=abn, g2n=bc2, hn=bc2, in=bgn, jn=c2, gkn=bc2, ln=bc2, mn=bgn, n2=c2, b2o=o, co=bci, do=aci, eo=abo, go=bgi, ho=bhi, io=bc2, jo=bij, ko=c2, lo=abc2, mo=bc2, no=gn, o2=c2, p=l, b2q=q, c2q=ac2, dq=abcq, eq=abq, cgq=abcgj, g3q=bc2, chq=ag2q, ghq=abg2q, iq=cgj, jq=ij, kq=bc2, lq=ac2, mq=c2, nq=bkn, oq=bc2, q2=c2, b2r=r, c2r=bc2, dr=abcr, er=abr, g3r=acgj, hr=j, cir=bcgr, jr=c2, kr=bir, lr=bc2, mr=ir, nr=c2, or=bir, qr=ir, r2=c2, b2s=s, c2s=abc2, ces=aci, egs=agi, g2s=g3, chs=ag3, ehs=ahi, dghs=acdgs, cis=abc2, dis=abcdgs, eis=acgj, gis=ac2, his=bc2, js=bij, ks=cgj, ls=abcgj, ms=bcgj, ns=gn, os=cgj, qs=bcgj, rs=bir, s2=c2, t=c2>

P = {a, b2, bc, c2, ad, abcd, abe, ace, cdg, g2, abg3, h, ach, bdh, abeh, abgh, adgh, egh, abi, ei, aj, cj, bgj, gk, abhk, l, bn, akn, ao, abq, gq, abhq, ar, cr, bgr, ag2r, bs, cds, aes, acgs, dgs, adhs, ghs}

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 c2

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *4260
abe44