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 Q54(0.7157):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s | a2=1, b3=b, c3=c, bd=abc, c2d=d, d2=b2c2, be=ab, e2=b2, bf=ab2c, cf=abc2, df=bc2, f2=b2c2, c2g=g, dg=ab2cg, fg=abcg, g2=b2c2, b2h=h, ch=ab2c, dh=b2c, eh=ah, fh=bc, gh=ab2g, h2=b2c2, bi=b2c, ci=bc2, di=abc2, gi=bcg, hi=abc, i2=b2c2, bj=ab2g, c2j=j, dj=bcg, ej=bg, fj=b2cg, gj=abc2, hj=bg, ij=ab2cg, j2=b2c2, bk=bg, ck=b2cg, dk=ab2cg, ek=ab2g, fk=abcg, gk=b2c2, hk=ab2g, jk=abc2, k2=b2c2, bl=abg, cl=ab2cg, dl=b2cg, el=b2g, gl=ab2c2, hl=b2g, il=abcg, jl=bc2, kl=aefi, l2=b2c2, bm=ab2cg, cm=abg, dm=bg, em=bcg, gm=abc, hm=bcg, im=ab2g, jm=b2c, km=abc, lm=aei, m2=b2c2, b2cn=cn, c2n=b2n, dn=acn, en=ab2n, b2gn=gn, hn=ab2n, in=bcn, jn=abgn, ln=agn, fmn=kn, n2=b2c2, bo=abn, c2o=o, do=cn, eo=b2n, fo=bcn, go=agn, ho=b2n, io=abcn, jo=bgn, ko=agn, lo=gn, mo=bcgn, no=ab2c2, o2=b2c2, bp=b2n, cp=bcn, dp=abcn, ep=abn, fp=acn, gp=bgn, hp=abn, ip=cn, jp=agn, kp=bgn, mp=acgn, np=bc2, op=abc2, p2=b2c2, bq=bcn, cq=b2n, dq=ab2n, eq=acn, fq=abn, gq=cgn, hq=acn, iq=bn, jq=abcgn, kq=cgn, lq=acgn, mq=abgn, nq=b2c, oq=ab2c, pq=bc, q2=b2c2, b2r=r, cr=ab2c, dr=b2c, er=ar, fr=bc, gr=ab2g, ir=abc, jr=bg, kr=ab2g, lr=b2g, mr=bcg, nr=ab2n, or=b2n, pr=abn, qr=acn, r2=b2c2, bs=bcg, cs=b2g, ds=ab2g, es=ab2cg, fs=abg, gs=b2c, hs=ab2cg, is=bg, js=abc, ks=b2c, ls=ab2c, ms=abc2, ns=cgn, os=acgn, ps=bcgn, qs=gn, rs=ab2cg, s2=b2c2>

P = {a, b2, c2, b2c2, acd, ce, aceg, ah, ei, afi, cj, ik, kn, co, alp, aq, br, as}

Phi = 1 a b a b ab a c d e d bc f b ab2 g bc2 h b2g aef i d j h b2c k l bc2 ab2c2 m ab2c2 b2cg n o aef bc2 bg b2g cn ab2c2 bc2 b2cg bc2 bcg abcg p b2c bg b2g cn bc2 abcg q r s b2n

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c244
b2c2 *32112