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 Q34(0.0702):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a2=1, b3=b, b2c2=c2, c4=c2, cd=ac3, d2=c2, be=c2, c2e=bc2, de=abc2, e4=e2, cf=c2, df=ac3, f2=c2, g=c3, b2ch=ch, c2h=bc3, dh=abc3, ceh=c2, e2h=e3f, b2fh=fh, efh=c2, ch2=b2c, fh2=b2f, bh3=bh, h4=h2, bi=c3, ci=bc2, e3i=ei, fi=bc2, hi=c2, i2=c2, bj=c2, c2j=bc2, dj=abc2, ce2j=bc3, e2fj=bc3, hj=efj, eij=bc3, j2=e3j, c2k=ac2, dk=ab2d, fk=ac, cejk=aij, e2jk=abc2, ik2=aik, ck3=ack2, k4=ak3, b2cl=cl, c2l=ac3, dl=c3, el=ae3f, b2fl=fl, b2hl=hl, h2l=b2l, il=abc2, jl=abc3, l2=c2, bm=bl, c2m=ac3, dm=c3, chm=chl, fhm=fhl, e2jm=abc3, lm=ae2fm, m2=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}

Phi = 1 1 a a ack ack ck ck a c2 b b ck c3 c d ac2 c2 e f c3 h i j k ac2 c3 c3 ac3 aef ac2 ac2 bc2 l m

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *8372
e246
h246
b2h288
e3j48
ak326
ab2k3412
ae2k3418
ah2k3418
ab2h2k3824