Details Page for 0.1241

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   692
P-Portion Size:   122
Tame?   No

MSV File: q-0.1241.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
762
17123
25245
4614423
4817628
5336065
5652089
58610109
59692122

(Click on a heap to see details)

Details for Q59(0.1241):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a2=1, b5=b3, b2c=b3, c3=c, b2d2=b2, bcd2=bc, d3=d, b2e=b4, ce=b3, e2=b4, b2f=ab2, cf=ac, bf2=b, df2=d, ef2=e, f3=f, bg=abc, cdg=ac2d, d2eg=eg, f2g=g, g2=acg, bch=b4h, f2h=h, cgh=ac2h, b3h2=bh2, ch2=bh2, d2h2=h2, eh2=b2h2, bfh2=abh2, gh2=abh2, h3=b2h2, b2i=ab4, bci=ab4, cdi=abc2d, ei=ab4, f2i=i, gi=aci, chi=ab3h, bh2i=abh2, i2=b4, bj=abe, cj=ab3, dj=ade, ej=ab4, f2j=j, h2j=ab2h2, ij=b4, j2=b4, b2k=b4d, bck=b4d, cdk=b3, dek=b4, dfk=adk, dgk=ab3, egk=ab3d, h2k=b2dh2, bik=abek, dik=ab4, hik=aehk, gjk=bek, bk2=b3, dk2=b4d, ek2=b4, fk2=ac2k2, c2gk2=gk2, hk2=b4h, c2ik2=ik2, jk2=ab4, c2k3=k3, ik3=c2ik, k4=c2k2, b2l=ab2d, cl=acd, f2l=l, dgl=cd2, egl=b3d, bd2hl=bhl, d2ehl=ehl, h2l=ab2dh2, bil=abd2el, hil=aehl, jl=ael, bkl=abdk, dkl=ad2k, ehkl=ab4h, ikl=aekl, k2l=ab4d, d2l2=l2, el2=dk, fl2=al2, gl2=acd2, kl2=d2k, l3=adl2, bm=bk, dm=dk, em=ek, gm=gk, hm=hk, im=ik, jm=jk, km=k2, lm=kl, fm2=ac2m2, c2m3=m3, m4=c2m2, b2n=abd2k, cn=ac2d, bdn=il2, den=eg, gn=c2d, bhn=ad2hk, ehn=degh, h2n=abdh2, in=bc2d, jn=aen, dkn=ab3d, ekn=ab3, bfkn=abkn, hkn=aghkl, k3n=ab3, beln=aekl, dfln=adln, d2hln=hln, fhln=ahln, kln=b3d, l2n=adln, mn=kn, n2=c2d2, bo=b2, do=bd, c2go=go, ego=ab4, fgo=ago, ho=bh, io=bi, jo=aeo, eko=bek, c2k2o=k2o, gk2o=ik2, lo=bd2l, c2m2o=m2o, eno=ab4d, fno=adil2, k2no=ab4d, o2=b2>

P = {a, b2, b4, c, ac2, ad, cd, ac2d, ad2, cd2, ac2d2, e, d2e, f, df, d2f, aef, ad2ef, af2, ag, cg, ac2g, adg, ad2g, fg, dfg, d2fg, abh, ab3h, abd2h, eh, bdeh, d2eh, bfh, bd2fh, befh, bd2efh, aefgh, h2, b2h2, afh2, ahi, adhi, ad2hi, abfhi, abd2fhi, fh2i, aj, fj, ahj, fghj, k, ack, c2k, dk, afk, f2k, gk, acgk, c2gk, afgk, achk, dhk, abehk, ghk, afghk, cik, ak2, ac2k2, ack3, gk3, l, dl, d2l, adel, afl, adfl, ad2fl, defl, gl, afgl, bdhl, bdehl, abdfhl, defhl, akl, fkl, efkl, fhkl, fghkl, al2, adl2, abhl2, m, acm, c2m, afm, f2m, am2, ac2m2, acm3, an, adn, ad2n, fn, dfn, d2fn, af2n, kn, afkn, f2kn, ak2n, ln, dln, d2ln, aeln, afln, cko, agko, cgko, cmo, cm2o}

Phi = 1 a 1 1 a a 1 b a ab 1 b a ab 1 a a c2g 1 ac2g ab c2g b c ab d b ad 1 d ac2g ad c2g b ac2g ab ac b e ab ae f e g ae ag h g i c ai j i k c2 ak l m n o an

Monoid Structure

Idempotent  |G|  |Arch|
122
b48296
c244
d288
c2d2842
f244
acg48
b2h2 *8256
c2k2820
acgk2816
l2416
c2m2820