Details Page for 0.7157

Complete Solution is Known:

Period:   5
Preperiod:   740
Quotient Size:   162
P-Portion Size:   19
Tame?   No

MSV File: q-0.7157.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
7102
9265
15426
20568
22609
256410
266610
297210
329611
3310012
4510413
5210614
5312217
5412418
5612819
5713019
11816219

(Click on a heap to see details)

Details for Q45(0.7157):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a2=1, b3=b, bc2=b, c3=c, bd=abc, c2d=d, d2=b2, be=ab, e2=b2, bf=ab2c, cf=ab, df=b, f2=b2, c2g=g, dg=ab2cg, fg=abcg, g2=b2, h=ab2, bi=b2c, ci=b, di=ab, gi=bcg, i2=b2, bj=ab2g, c2j=j, dj=bcg, ej=bg, fj=b2cg, gj=ab, ij=ab2cg, j2=b2, bk=bg, ck=b2cg, dk=ab2cg, ek=ab2g, fk=abcg, gk=b2, jk=ab, k2=b2, bl=abg, cl=ab2cg, dl=b2cg, el=b2g, gl=ab2, il=abcg, jl=b, kl=aefi, l2=b2, bm=ab2cg, cm=abg, dm=bg, em=bcg, gm=abc, im=ab2g, jm=b2c, km=abc, lm=aei, m2=b2, b2cn=cn, c2n=b2n, dn=acn, en=ab2n, b2gn=gn, in=bcn, jn=abgn, ln=agn, fmn=kn, n2=b2, bo=abn, c2o=o, do=cn, eo=b2n, fo=bcn, go=agn, io=abcn, jo=bgn, ko=agn, lo=gn, mo=bcgn, no=ab2, o2=b2, bp=b2n, cp=bcn, dp=abcn, ep=abn, fp=acn, gp=bgn, ip=cn, jp=agn, kp=bgn, mp=acgn, np=b, op=ab, p2=b2>

P = {a, b2, c2, acd, ce, aceg, ei, afi, cj, ik, kn, co, alp}

Phi = 1 a b a b ab a c d e d bc f b ab2 g b ab2 b2g aef i d j ab2 b2c k l b ab2 m ab2 b2cg n o aef b bg b2g cn ab2 b b2cg b bcg abcg p b2c bg b2g cn b abcg

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *3298
c244