Details Page for 0.7043

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   364
P-Portion Size:   91
Tame?   No

MSV File: q-0.7043.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
982
15123
19184
23246
27327
314010
355011
396015
437216
478421
519822
5511228
5912829
6314436
6716237
7118045
7520046
7922055
8324256
8726466
9128867
9531278
9933879
10336491

(Click on a heap to see details)

Details for Q55(0.7043):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b14=b12, bc=ab3, c2=b4, b2d=ab5, cd=b5, d2=b6, b3e=ab7, ce=ab2e, de=b7, e2=b8, b4f=ab9, cf=ab2f, df=ab3f, ef=b9, f2=b10, b5g=ab11, cg=ab2g, dg=ab3g, eg=ab4g, fg=b11, g2=b12, b6h=ab13, ch=ab2h, dh=ab3h, eh=ab4h, fh=ab5h, gh=b13, h2=b12, b6i=b5h, ci=ab2i, di=ab3i, ei=ab4i, fi=ab5i, gi=ab5h, hi=b13, i2=b12, b5j=b4i, cj=ab2j, dj=ab3j, ej=ab4j, fj=ab4i, gj=ab5i, hj=ab5h, ij=b13, j2=b12, b4k=b3j, ck=ab2k, dk=ab3k, ek=ab3j, fk=ab4j, gk=ab4i, hk=ab5i, ik=ab5h, jk=b13, k2=b12, b3l=b2k, cl=ab2l, dl=ab2k, el=ab3k, fl=ab3j, gl=ab4j, hl=ab4i, il=ab5i, jl=ab5h, kl=b13, l2=b12, b2m=bl, cm=abl, dm=ab2l, em=ab2k, fm=ab3k, gm=ab3j, hm=ab4j, im=ab4i, jm=ab5i, km=ab5h, lm=b13, m2=b12, bn=m, cn=abm, dn=abl, en=ab2l, fn=ab2k, gn=ab3k, hn=ab3j, in=ab4j, jn=ab4i, kn=ab5i, ln=ab5h, mn=b13, n2=b12>

P = {a, b2, b4, b6, b8, b10, b12, ad, abe, af, ab2f, abg, ab3g, ah, ab2h, ab4h, abi, ab3i, ab5i, aj, ab2j, ab4j, abk, ab3k, al, ab2l, abm, an}

Phi = 1 a 1 a b ab b ab 1 c ac c b ab3 b3 d b2 bd b4 e b3 be b5 f b4 bf b6 g b5 bg b7 h b6 bh b8 i b7 bi b9 j b8 bj b10 k b9 bk b11 l b10 bl b12 m b11 bm b13 n b12 m b12

Monoid Structure

Idempotent  |G|  |Arch|
122
b12 *4110