Details Page for 0.1367

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   526
P-Portion Size:   57
Tame?   No

MSV File: q-0.1367.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
8102
12123
13164
19327
214410
234811
286211
296411
307012
327413
347813
359416
3710617
3912021
5129040
5331246
7132249
7941057
8041457
9043057
48346257
157352657

(Click on a heap to see details)

Details for Q71(0.1367):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a2=1, b3=b, c3=c, bd=bc, c2d=d, d2=b2c2, bce=abc, de2=ade, e3=ae2, bf=bc, c2f=f, def=cde, e2f=ce2, f2=c2e2, bg=abc, eg=ade, dfg=ab2c, g2=b2c2, bch=abc, eh=acde, c2gh=gh, dgh=adfh, fgh=b2c2, h2=b2c2, bi=bh, ci=dh, di=ab2c, ei=b2c2, fi=cdfh, gi=acdfh, hi=b2c2, i2=b2c2, bj=bc, c2ej=ej, fj=ce2j, dgj=ab2c, c2hj=hj, dhj=dfh, ghj=b2c2, ij=cdfh, j2=b2c2, bk=abc, c2k=k, dk=dg, ek=ade, fk=cde, gk=b2c2, hk=gh, ik=acdfh, jk=dej, k2=b2c2, b2l=l, cl=bc, dl=bc, e2l=ael, fl=bc, gl=abc, hl=abc2, il=abc2, jl=bc, kl=abc, l2=b2c2, em=ac2m, fm=cm, gm=adm, hm=acdm, im=ab2c2m, c2jm=jm, km=adm, lm=bc2m, m2=b2c2, n=b2m, bo=abc2m, c2eo=eo, e2o=aeo, fo=aceo, go=deo, c2ho=ho, dho=b2cm, io=b2c2m, c2jo=jo, ejo=ajo, hjo=acdjo, ko=deo, lo=abc2m, o2=b2c2, p=o, bcq=abc, eq=ac2q, fq=cq, gq=adq, hq=acdq, iq=b2c2, c2jq=jq, kq=adq, lq=abc2, bmq=abc2m, c2mq=mq, c2oq=oq, q2=b2c2, bcr=b2c2m, er=ac2r, fr=cr, gr=adr, hr=acdr, ir=abcm, c2jr=jr, kr=adr, lr=b2cm, mr=bc, or=abc, qr=abcm, r2=b2c2, s=b2c2m, bt=abc, ct=ab2c2, dt=ab2c2, et=b2c, ft=ab2c2, gt=b2c2, ht=b2c, it=b2c, jt=ab2c2, kt=b2c2, lt=abc, qt=b2c, rt=abc2m, t2=b2c2>

P = {a, b2, ac, ac2, b2c2, acd, abe, acde, e2, b2e2, c2e2, af, acf, adf, cg, dg, abh, acj, ac2j, adj, adej, ce2j, agj, ck, bel, abm, aco, ac2o, ado, ho, amo, ac2mo, acdmo, acjmo, adjmo, cq, jq, coq, joq, acmoq, ajmoq, ar, ab2r, ac2r, acdr, acjr, adjr, at, mot}

Phi = 1 a a 1 bc bc abc abc b b a ab2c2 c d bc bc abc bc2 bc2 e ab2e2 f ade g abc abc bc2 bc h i j b2c k fh bq l bc m b2m o o b2c bcm bq bq bc bc2 b2m ab2c ab2c b2c q ab2c2 r bc2 bc2 abc abc ab2c b2c q ab2c2 r bc2 bc bc abc b2c2m b2c q ab2c2 t bcm bc bc abc b2c2m b2c2m b2cm

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c244
b2c2 *16284
e224
b2e248
c2e2416