Details Page for 0.1633

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   502
P-Portion Size:   56
Tame?   No

MSV File: q-0.1633.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
8123
12164
14204
17448
185210
2010017
2311618
2617623
2728435
2936241
3041248
3243248
3346051
3547854
3650256

(Click on a heap to see details)

Details for Q30(0.1633):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a2=1, b5=b3, bc2=b, c3=c, b2d=b3, c2d=d, d2=b4, b2e=ab4, de=be, be3=ab3, c2e3=e3, e4=ae3, b2f=b4, c2f=f, df=bf, ef=ab4, f2=f, bg=bce2, dg=bce2, eg=ce3, fg=b4c, c2g2=g2, g4=g2, b2h=b3c, c2h=h, bdh=b3c, eh=abce2, fh=b3c, gh=b3, h2=b4, b2i=abd, bdi=abd, ei=ae3, bfi=ab3, c2gi=gi, g2i=ag2, bhi=adh, dhi=adh, bi2=abi, ci2=aci, di2=adi, fi2=afi, gi2=agi, hi2=ahi, i3=ai2, b2j=bh, bdj=dh, c2ej=ej, e2j=ace3, fj=b4c, c2gj=gj, g2j=ace3, hj=abcej, bij=hi, i2j=ac2ij, j2=gj, bk=abd, c2k=k, dk=abd, ek=abe, fk=abf, gk=abce2, hk=adh, ik=abi, k2=bd, b2l=b3, c2l=l, bdl=b3, el=ab3, fl=b3, gl=b3c, bhl=b3c, dhl=b3c, bil=adl, dil=adl, hil=ahl, i2l=ail, bjl=hl, djl=hl, ijl=ajl, kl=adl, l2=b4, b2m=ab4, dm=bm, be2m=bcej, ce2m=ej, e3m=ae3, fm=ab4, gm=ej, hm=abcem, im=agij, jm=ce3, km=abm, lm=ab3, m2=ae3, b4n=b2n, bdn=b2n, en=ab2n, gn=b2cn, hn=b3cn, din=bin, fin=ab2n, i2n=ain, jn=b2cn, kn=adn, ln=b3n, bmn=ab3n, cmn=ab2cn, b2n2=n2, c2n2=n2, dn2=bn2, fn2=n2, in2=an2, mn2=an2, n3=cn2, b2o=ab3, bdo=ab3, e3o=b3, fo=abf, go=ce2o, ho=abceo, bio=chl, dio=chl, i2o=aio, c2jo=jo, djo=bjo, ijo=b3c, ko=ado, lo=ab4, bemo=bcjo, cemo=jo, bno=ab2n, cno=abcfn, dno=ab2n, n2o=abn2, o2=b4, bp=b2n, cp=cdn, dp=b2n, e3p=ab3n, fp=bfn, gp=b3cn, hp=b2cn, i2p=aip, jp=b3cn, kp=ab2n, lp=b2n, n2p=bcn2, p2=n2, b4q=b2q, dq=b3q, eq=ab2q, bfq=b3q, cgq=b2q, g2q=b2q, hq=b3cq, biq=ab3q, c2iq=iq, fiq=afq, giq=ab2cq, i2q=aiq, jq=b2cq, kq=ab3q, ilq=ab3q, mq=ab2q, nq=an2, oq=ab3q, pq=abn2, q2=n2>

P = {a, b2, b4, ac, ac2, bd, ce, ace2, ce3, f, ag2, acg2, ach, acdh, i, ci, c2i, afi, ai2, aj, abcj, ej, acgj, ij, bl, dl, cm, acem, abcn, ab3cn, cfn, n2, abo, beo, abe2o, cio, bjo, abcmo, aop, iop, mop, aemop, e2mop, q, cq, b2cq, acfq, clq}

Phi = 1 a 1 b b ab a b2 c b d bc e f g abe bf h i f j k bf l m f n o bf p q b4

Monoid Structure

Idempotent  |G|  |Arch|
122
b48186
c244
ae3454
f44
g2818
ac2i44
afi44
i224
n2 *8132