Details Page for 0.7002

Complete Solution is Known:

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

MSV File: q-0.7002.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
1182
16123
20184
24246
28327
324010
365011
406015
447216
488421
529822
5611228
6012829
6414436
6816237
7218045
7620046
8022055
8424256
8826466
9228867
9631278
10033879
10436491

(Click on a heap to see details)

Details for Q56(0.7002):

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=b7, ce=ab2e, de=ab7, e2=b8, b4f=ab9, cf=ab2f, df=ab3f, ef=ab9, f2=b10, b5g=b11, cg=ab2g, dg=ab3g, eg=b4g, fg=ab11, g2=b12, b6h=ab13, ch=ab2h, dh=ab3h, eh=b4h, fh=ab5h, gh=ab13, h2=b12, b6i=ab5h, ci=ab2i, di=ab3i, ei=b4i, fi=ab5i, gi=ab5h, hi=ab13, i2=b12, b5j=ab4i, cj=ab2j, dj=ab3j, ej=b4j, fj=b4i, gj=ab5i, hj=ab5h, ij=ab13, j2=b12, b4k=ab3j, ck=ab2k, dk=ab3k, ek=ab3j, fk=b4j, gk=b4i, hk=ab5i, ik=ab5h, jk=ab13, k2=b12, b3l=ab2k, cl=ab2l, dl=b2k, el=ab3k, fl=ab3j, gl=b4j, hl=b4i, il=ab5i, jl=ab5h, kl=ab13, l2=b12, b2m=abl, cm=bl, dm=b2l, em=b2k, fm=ab3k, gm=ab3j, hm=b4j, im=b4i, jm=ab5i, km=ab5h, lm=ab13, m2=b12, bn=am, cn=bm, dn=abl, en=b2l, fn=b2k, gn=ab3k, hn=ab3j, in=b4j, jn=b4i, kn=ab5i, ln=ab5h, mn=ab13, n2=b12>

P = {a, b2, b4, b6, b8, b10, b12, d, abe, f, b2f, abg, ab3g, h, b2h, b4h, abi, ab3i, ab5i, j, b2j, b4j, abk, ab3k, l, b2l, abm, n}

Phi = 1 a 1 a 1 b ab b ab a 1 c ac b ab b3 d ab2 b2 bd e b3 ab3 be f ab4 b4 bf g b5 ab5 bg h ab6 b6 bh i b7 ab7 bi j ab8 b8 bj k b9 ab9 bk l ab10 b10 bl m b11 ab11 bm n ab12 b12 am

Monoid Structure

Idempotent  |G|  |Arch|
122
b12 *4110