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 Q35(0.0702):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | 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, k4=ak3, 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, l2=c2, bm=bh2l, c2m=ac3, dm=c3, gm=ac2, chm=chl, fhm=fhl, e2jm=abc3, fkm=acm, ck3m=ack2m, lm=ae2fm, m2=c2, b2n=n, c2n=bc3, en=c3, hn=c2, in=c2, jn=c3, ln=acdkn, mn=abc2, n2=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, 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}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *8550
e246
h246
b2h288
e3j48
ak326
ab2k3412
ae2k3418
ah2k3418
ab2h2k3824