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 Q86(0.7122):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a2=1, b21=b19, 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=b14, b7i=b15, ci=ab2i, di=b3i, ei=b4i, fi=b5i, gi=b6i, hi=b15, i2=b16, b8j=b17, cj=ab2j, dj=b3j, ej=b4j, fj=b5j, gj=b6j, hj=b7j, ij=b17, j2=b18, b9k=b19, ck=ab2k, dk=b3k, ek=b4k, fk=b5k, gk=b6k, hk=b7k, ik=b8k, jk=b19, k2=b20, b10l=b19, cl=ab2l, dl=b3l, el=b4l, fl=b5l, gl=b6l, hl=b7l, il=b8l, jl=b9l, kl=b19, l2=b20, b9m=b8l, cm=ab2m, dm=b3m, em=b4m, fm=b5m, gm=b6m, hm=b7m, im=b8m, jm=b8l, km=b9l, lm=b19, m2=b20, b8n=b7m, cn=ab2n, dn=b3n, en=b4n, fn=b5n, gn=b6n, hn=b7n, in=b7m, jn=b8m, kn=b8l, ln=b9l, mn=b19, n2=b20, b7o=b6n, co=ab2o, do=b3o, eo=b4o, fo=b5o, go=b6o, ho=b6n, io=b7n, jo=b7m, ko=b8m, lo=b8l, mo=b9l, no=b19, o2=b20, b6p=b5o, cp=ab2p, dp=b3p, ep=b4p, fp=b5p, gp=b5o, hp=b6o, ip=b6n, jp=b7n, kp=b7m, lp=b8m, mp=b8l, np=b9l, op=b19, p2=b20, b5q=b4p, cq=ab2q, dq=b3q, eq=b4q, fq=b4p, gq=b5p, hq=b5o, iq=b6o, jq=b6n, kq=b7n, lq=b7m, mq=b8m, nq=b8l, oq=b9l, pq=b19, q2=b20, b4r=b3q, cr=ab2r, dr=b3r, er=b3q, fr=b4q, gr=b4p, hr=b5p, ir=b5o, jr=b6o, kr=b6n, lr=b7n, mr=b7m, nr=b8m, or=b8l, pr=b9l, qr=b19, r2=b20, b3s=b2r, cs=ab2s, ds=b2r, es=b3r, fs=b3q, gs=b4q, hs=b4p, is=b5p, js=b5o, ks=b6o, ls=b6n, ms=b7n, ns=b7m, os=b8m, ps=b8l, qs=b9l, rs=b19, s2=b20, b2t=bs, ct=abs, dt=b2s, et=b2r, ft=b3r, gt=b3q, ht=b4q, it=b4p, jt=b5p, kt=b5o, lt=b6o, mt=b6n, nt=b7n, ot=b7m, pt=b8m, qt=b8l, rt=b9l, st=b19, t2=b20, bu=t, cu=abt, du=bs, eu=b2s, fu=b2r, gu=b3r, hu=b3q, iu=b4q, ju=b4p, ku=b5p, lu=b5o, mu=b6o, nu=b6n, ou=b7n, pu=b7m, qu=b8m, ru=b8l, su=b9l, tu=b19, u2=b20>

P = {a, b2, b4, b6, b8, b10, b12, b14, b16, b18, b20, d, be, f, b2f, bg, b3g, h, b2h, b4h, bi, b3i, b5i, j, b2j, b4j, b6j, bk, b3k, b5k, b7k, l, b2l, b4l, b6l, b8l, bm, b3m, b5m, b7m, n, b2n, b4n, b6n, bo, b3o, b5o, p, b2p, b4p, bq, b3q, r, b2r, bs, t}

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 abn b12 an o abo b13 ao p abp b14 ap q abq b15 aq r abr b16 ar s abs b17 as t abt b18 at u at b19 au

Monoid Structure

Idempotent  |G|  |Arch|
122
b20 *4240