Details Page for 0.3715

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   724
P-Portion Size:   118
Tame?   No

MSV File: q-0.3715.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
7123
8245
166414
2015227
22724118

(Click on a heap to see details)

Details for Q22(0.3715):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b5=b3, b2c=b3, bc3=bc, c4=c2, bd2=b, cd2=c, d3=d, be=ab2, ce=abc, d2e=e, e3=ab3, bf=b2, cf=bc, d2f=f, ef=ab2, f2=b2, b3g=ab3, bcg=ab4, c2g=abc, d2g=g, b2g2=b4, cg2=bg2, eg2=ab3, fg2=b3, g3=ab4, b2h=ab3, ch=abc, d2h=h, eh=abh, fh=bh, g2h=ab3, bh2=b3, h3=ab3, b2i=b3, bci=bc2, c2i=c3, ei=abi, fi=bi, cgi=abc, g2i=bg2, bhi=ab3, h2i=b3, bi2=bc2, ci2=c3, d2i2=i2, gi2=abc, hi2=abc2, i3=c3, b4j=b2j, bcj=b2j, d2j=j, e2j=b2j, fj=aej, b2gj=ab2j, bhj=ab2j, h2j=b2j, bij=b2j, cij=c2j, hij=ab2j, i2j=c2j, b3j2=bj2, cj2=bj2, ej2=abj2, bgj2=abj2, g2j2=b2j2, hj2=abj2, ij2=bj2, bj3=abdj2, j4=b2j2, bk=abj, ck=acj, d2k=k, ek=aej, fk=ej, g2k=ag2j, hk=ahj, ik=aij, jk=aj2, k3=b2dj2, el=abl, fl=bl, cgl=abc2l, bg2l=b3l, h2l=b4l, c3jl=cjl, g2jl=b2jl, b2l2=e2, bcl2=bc, c2l2=c2, g2l2=b4, bhl2=bh, bgil2=e2g, ghil2=bgh, cjl2=c3j, hjl2=hj, gijl2=bgjl2, bj2l2=bj2, bjl3=bjl, d2l4=l4, bgl4=bgl2, hl4=hl2, gil4=gil2, j3l4=j3l2, k2l4=k2l2, l5=d2l3>

P = {a, b2, b4, c, ac2, c3, ad, cd, ac2d, c3d, ad2, e2, bg, bdg, aeg, adeg, de2g, fg, dfg, g2, abh, agh, adgh, h2, i, aci, di, acdi, d2i, abgi, ghi, ai2, adi2, abdj, ab3dj, dej, agj, adgj, cdgj, adg2j, dhj, dgij, j2, b2j2, adj3, dgj3, gk, dgk, k2, al, cl, ac2l, c3l, adl, b2dl, b4dl, cdl, ac2dl, c3dl, ad2l, b2gl, abdhl, adghl, il, acil, dil, acdil, d2il, dghil, ai2l, adi2l, abjl, ab3jl, abdgjl, hjl, gj2l, gk2l, al2, cl2, adl2, cdl2, ad2l2, aghl2, il2, acil2, dil2, acdil2, d2il2, ai2l2, adi2l2, abdjl2, abgjl2, j2l2, dgj2l2, adj3l2, k2l2, dgk2l2, al3, cl3, adl3, cdl3, ad2l3, adghl3, il3, acil3, bdil3, aijl3, gj2l3, adgj3l3, gk2l3, al4, cl4, adl4, cdl4, bil4, acdil4, adijl4, j2l4}

Phi = 1 a b ab a 1 ab c d e b d ad f af b2 g h i ab2 j k l

Monoid Structure

Idempotent  |G|  |Arch|
122
b416268
c216104
d244
b2j2 *16324
l4822