Details Page for 0.1042

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1080
P-Portion Size:   133
Tame?   No

MSV File: q-0.1042.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
17123
31325
3511212
3711614
3818830
3939459
4346464
4447265
4659487
4759888
4960688
51912121
521048128
531080133

(Click on a heap to see details)

Details for Q44(0.1042):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a2=1, b5=b3, bc=b4, c2=b4, bd2=b, cd2=c, d3=d, be=b2d, ce=b4d, de=b, e5=e3, b2f=ab3, cf=ab4, d2f=f, ef=bdf, f2=b4, b2g=b3, cg=b4, d2g=g, eg=bdg, fg=bf, g2=b4, b2h=ab3, ch=ab4, d2h=h, eh=bdh, fh=b4, gh=abg, bh2=b3, h3=ab3, bi=abg, ci=ab4, e4i=e2i, fi=b4, gi=abg, hi=b2, i2=bg, bj=b3, cj=b3, dj=b2d, e3j=ej, fj=ab3, gj=b3, hj=ab3, e2ij=ij, j2=b4, b2k=b3d, d2k=k, ek=bdk, bfk=ab3d, gk=b4d, hk=ack, ik=ack, jk=b3d, ck2=c, k3=k, bl=bg, cl=b4, d2l=l, el=bdg, fl=ab4, gl=bg, hl=abg, il=abg, jl=b3, kl=ck, l2=bg, bm=b4, cm=b4, em=ae3i, fm=ab4, gm=b4, hm=ab4, im=ab4, jm=aij, km=b4d, lm=b4, m2=b4, b3n=b3d, cn=b3d, d2n=n, en=bdn, jn=b2n, kn=bk2, mn=b3d, n2=b4, bo=b3d, co=b3d, do=abh, eo=b3, fo=ab3d, go=b3d, ho=ab3d, io=ab3d, jo=b4d, ko=b3, lo=b3d, mo=b3d, no=abdhn, o2=b4, b2p=abg, cp=ac, fp=afk2, bgp=abg, bhp=b2, h2p=bh, d2ip=ip, eip=bdg, ijp=b3, bkp=ack, lp=aip, mp=ab3, bnp=in, inp=ln, op=ab2d, bp2=ip, e2p2=ae2p, gp2=agp, hp2=bp, ip2=aip, jp2=ajp, kp2=akp, ep3=aep2, p4=ap3, b3q=ab3, cq=fk2, fq=b3, d2iq=iq, eiq=abdgq, ijq=b3, mq=ab3, oq=abdhq, bpq=iq, gpq=agq, ipq=lq, hnpq=bnq, q2=abf, b2r=ab3, cr=ab4, e4r=e2r, fr=b4, bgr=ab3, bhr=b3, h2r=ab3, e3ir=eir, e2jr=jr, kr=bkq, lr=ad2ir, dmr=bfn, nr=bnq, or=ab3d, pr=iq, qr=b3, r2=b4, bs=ab3d, cs=ab3d, d2s=s, es=ab3, fs=b3d, gs=ab3d, hs=b3d, is=b3d, js=ab4d, ks=ab3, ls=ab3d, ms=ab3d, os=ab4, ps=abdh, qs=adh2q, rs=b3d, s2=b4, t=ck>

P = {a, b2, b4, ad, ad2, e2, e4, abf, bg, abh, h2, j, e2j, adk, acdk, ak2, adk2, bdn, adfn, abdgn, abdhn, dh2n, o, p, dp, d2p, ae2p, ae4p, ajp, ae2jp, k2p, dk2p, dnp, ap2, adp2, ad2p2, adnp2, p3, dp3, d2p3, dnp3, ab2q, dq, ae2q, ae4q, abgq, bhq, ah2q, ajq, ae2jq, abdkq, dk2q, dnq, ab2dnq, bdhnq, adh2nq, epq, e3pq, aep2q, ar, bdr, er, dgr, eir, ads}

Phi = 1 a 1 1 1 b b b b a a a b2 ab ab ab c d d ab2 b4 e e f g h i bf j ab2 abg k hp l m n b2 o p q gn gn bp r s ck

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8414
d244
e448
k288
ae4p410
ak2p88
ap326
ad2p3412