Details Page for 0.7122

Complete Solution is Known:

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

MSV File: q-0.7122.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
1182
18123
22184
26246
30327
344010
385011
426015
467216
508421
549822
5811228
6212829
6614436
7016237
7418045
7820046
8222055
8624256
9026466
9428867
9831278
10233879
10636491

(Click on a heap to see details)

Details for Q58(0.7122):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b14=b12, bc=ab3, c2=b4, b2d=b5, cd=ab5, d2=b6, b3e=b7, ce=ab2e, de=b7, e2=b8, b4f=b9, cf=ab2f, df=b3f, ef=b9, f2=b10, b5g=b11, cg=ab2g, dg=b3g, eg=b4g, fg=b11, g2=b12, b6h=b13, ch=ab2h, dh=b3h, eh=b4h, fh=b5h, gh=b13, h2=b12, b6i=b5h, ci=ab2i, di=b3i, ei=b4i, fi=b5i, gi=b5h, hi=b13, i2=b12, b5j=b4i, cj=ab2j, dj=b3j, ej=b4j, fj=b4i, gj=b5i, hj=b5h, ij=b13, j2=b12, b4k=b3j, ck=ab2k, dk=b3k, ek=b3j, fk=b4j, gk=b4i, hk=b5i, ik=b5h, jk=b13, k2=b12, b3l=b2k, cl=ab2l, dl=b2k, el=b3k, fl=b3j, gl=b4j, hl=b4i, il=b5i, jl=b5h, kl=b13, l2=b12, b2m=bl, cm=abl, dm=b2l, em=b2k, fm=b3k, gm=b3j, hm=b4j, im=b4i, jm=b5i, km=b5h, lm=b13, m2=b12, bn=m, cn=abm, dn=bl, en=b2l, fn=b2k, gn=b3k, hn=b3j, in=b4j, jn=b4i, kn=b5i, ln=b5h, mn=b13, n2=b12>

P = {a, b2, b4, b6, b8, b10, b12, d, be, f, b2f, bg, b3g, h, b2h, b4h, bi, b3i, b5i, j, b2j, b4j, bk, b3k, l, b2l, bm, n}

Phi = 1 a b a 1 ab 1 ab b a b c 1 ab ac ab3 b c d abd b2 ad e abe b3 ae f abf b4 af g abg b5 ag h abh b6 ah i abi b7 ai j abj b8 aj k abk b9 ak l abl b10 al m abm b11 am n am b12 an

Monoid Structure

Idempotent  |G|  |Arch|
122
b12 *4110