Details Page for 0.314

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   754
P-Portion Size:   107
Tame?   No

MSV File: q-0.314.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5123
7164
9204
10366
137214
1418429
1821636
1928040
2341258
2562487
2864890
29738106
31754107

(Click on a heap to see details)

Details for Q28(0.314):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n | a2=1, b4=b2, b2c=b3, c2=1, bd=b2, d2=b2, be=b2, e2=b2, bf=ab2, f2=b2, bg2=b, fg2=f, dg3=dg, eg3=eg, g4=g2, b2h=ab2g, bh2=abgh, fh2=afgh, gh2=ag2h, dh3=dh, h4=h2, i=ab3, bj=bh, fj=fh, dg2j=dj, eg2j=ej, g3j=gj, hj=agh, dj2=adgj, g2j2=j2, j3=agj2, bk=ab3, fk=b3, g2k=k, hk=b2g, j2k=agjk, k2=b2, bl=b2, dfl=ab3, dgl=b2g, fhl=b2g, eghl=ab2, g2hl=ab3g, dh2l=dl, djl=ab2g, ejl=degk, gjl=dk, j2l=dgjk, kl=cfl, dl2=b3, el2=aghl, fl2=ab3, gl2=b2g, hl2=ab2g, jl2=ab2g, l3=b3, bm=b2, defm=bcgh, g3m=gm, efhm=aefgm, eghm=aeg2m, eh2m=em, ejm=aegm, g2jm=jm, km=ek, flm=efl, glm=egl, jlm=degk, l2m=aghl, m2=b2, b2n=ab2g, dn=cfgl, fn=abn, g2n=n, hn=b2, jn=b2, kn=b2g, ln=cfgl, mn=en, n2=b2>

P = {a, b2, c, acd, cf, df, g, bcg, cdg, ceg, deg, acfg, adfg, aefg, acdefg, ag2, cg2, acdg2, g3, ch, dh, eh, cdeh, gh, acgh, cdgh, acfgh, adfgh, g3h, acg3h, ah2, ch2, acdh2, ch3, eh3, aj, acdj, acej, adej, gj, acgj, cdgj, ag2j, aj2, cj2, gj2, cegj2, agk, acdgk, acegk, adegk, cgl, egl, afgl, acefgl, cg3l, hl, cehl, acjl, acm, adm, fm, cdfm, cgm, dgm, afgm, acdfgm, acg2m, adg2m, hm, cdhm, cehm, dehm, cghm, dghm, afghm, acdfghm, ach2m, adh2m, h3m, acjm, adjm, cgjm, dgjm, acj2m, cgj2m, chlm, an, acen, acgn}

Phi = 1 a b b2 ab2 c 1 d ab2 e f ab2 b3 g h ab3 b2 ab3 j k b3 ab2 ab3 l ab2 m ab2 b3 n

Monoid Structure

Idempotent  |G|  |Arch|
144
b2 *8588
g2812
ag3h812
h2812
j2820