Details Page for 0.1671

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   406
P-Portion Size:   58
Tame?   No

MSV File: q-0.1671.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
6102
9123
14349
154210
1618626
1721430
1824436
2126237
2229841
2330441
2431841
2532443
2634248
2740258
2840658

(Click on a heap to see details)

Details for Q28(0.1671):

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, b4c=b2c, b2c2=b4, bc4=bc2, c7=c5, b2d=ab4, c5d=c3d, d2=b4, b2e=b3c, bce=b4, c3e=bc2, bde=ab2c, cde=bd, be2=b3, ce2=b2c, de2=ab4, e4=e2, b2f=b2c, c5f=c3f, df=ab2c, bef=b4, cef=bf, e2f=b2c, f2=b4, bg=b3c, cg=b4, dg=ab2c, eg=b3, fg=b4, g2=b4, bh=ab3, c4h=c2h, dh=b4, ceh=ab3, fh=ab2c, gh=ab2c, ch2=b2c, eh2=aeh, h3=ah2, b2i=ab4, bc3i=bci, c6i=c4i, bdi=bcf, c4di=c2di, bei=ab2c, c2ei=bci, dei=bf, e2i=ab4, fi=ab2c, gi=ab2c, c2hi=hi, ehi=b3c, h2i=ab4, i2=b4, b2j=ab3, c5j=c3j, bej=ab3c, e2j=ab3, bc2fj=achi, gj=ab3c, hj=b3, c4ij=c2ij, j2=b4, bk=ab4, c4k=c2k, dk=abd, ek=ab2c, fk=abf, gk=ab3c, hk=b3, c3ik=cik, k2=b4, b2l=abe, bcl=ab3, c2l=achi, dl=be, cel=ab3c, e2l=ab2c, bfl=ab3, cfl=ab2c, efl=ab3c, gl=fl, hl=be, il=be, bjl=be, cjl=b3, ejl=abel, fjl=b3, kl=b3c, cl2=be, el2=b3c, fl2=be, jl3=b3c, l4=b4, b2m=b3c, bcm=abcfj, c5m=c3m, dm=abf, bem=b3, cem=abfj, e2m=b3c, fm=b3, gm=b3, hm=ab3c, im=ab3c, bjm=ab3c, cjm=abij, ejm=ab3, km=bfj, blm=bel, clm=ab3c, elm=ab2c, jlm=abel, l2m=b3c, m2=b4, bn=be, c5n=c3n, dn=abf, en=abel, fn=ef, gn=b3, hn=ab3c, in=ab3c, kn=ab2c, ln=el, mn=em, n2=abel, bo=ab2, co=ab3c, do=b3, eo=ab2c, fo=ab3c, go=ab3c, ho=b3, io=b3, jo=b4, ko=b4, l3o=b3c, mo=ab2c, no=ab2c, o2=b4, bp=ijk, c5p=c3p, dp=adij, c2ep=cijk, e2p=ab3, fp=ab3c, gp=ab3c, hp=b3, ip=b3, jp=aefj, kp=aijk, lp=b3c, mp=ab2c, np=ab2c, op=b4, p2=b4, bq=ab3, cq=adej, dq=b4, eq=ab3c, fq=ab2c, gq=ab2c, hq=b4, iq=aefj, jq=b3, kq=b3, lq=be, mq=ab3c, nq=ab3c, oq=b3, pq=b3, q2=b4, br=ab3c, c6r=c4r, dr=b2c, er=ab3, fr=ab4, gr=ab4, hr=abfj, ir=chi, jr=b3c, kr=b3c, lr=abel, mr=ab3, nr=ab3, or=b3c, pr=b3c, qr=b2c, r2=b4, b3s=bs, bc2s=bs, bds=abs, c4ds=c2ds, es=bcs, bfs=bcs, gs=b2cs, hs=ab2s, bis=abs, dis=cfs, js=abs, ks=abs, bls=abcs, cls=ab2s, fls=ab2s, l3s=ab2cs, ms=bcs, ns=bcs, os=abs, ps=abs, qs=ab2s, rs=ab2cs, s2=b4, bt=be, ct=abd, dt=ab3c, et=abel, ft=b3, gt=b3, ht=ab3c, it=abf, kt=ab2c, lt=el, mt=abel, nt=abel, ot=ab2c, pt=bfj, qt=ab3c, rt=ab3, st=bcs, t2=abel>

P = {a, b2, b4, c2, c4, c6, ad, ac2d, ac4d, ae, ae2, ae3, cf, c3f, ach, ac3h, e3h, h2, ai, ac2i, ac4i, di, c2di, abj, ac2j, bc3j, bdj, bc3dj, ac2ej, abcfj, aefj, bij, c2ij, jk, ac3jk, aijk, ac2ijk, ael, ajl, bl2, ajl2, abl3, ac4m, acjn, c4jn, aq, ar, ac2r, c5r, acs, ac3s, ac6s, c3ds, ac4fs, cis, c3is, ls, al2s}

Phi = 1 a 1 b b ab c a d e b b f g h i j k l be be m n o p q r s t b3c

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *16376
c6412
e246
ae2h46
h224