Details Page for 0.5036

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   860
P-Portion Size:   103
Tame?   No

MSV File: q-0.5036.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
8102
11123
12164
14244
20568
217211
2340874
2455680
2565286
27860103

(Click on a heap to see details)

Details for Q27(0.5036):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b3=b, c4=c2, bd=ab, d2=b2, be=abc, e2=b2c2, bf=ab, c2df=c3de, ef=b2c, f2=b2, bg2=b, deg2=de, fg2=f, c2g3=c2g, dg4=dg2, eg4=eg2, g5=g3, bh=abc, eh=cdh, fh=b2c, cg4h=cg2h, h2=ach, bc2i2=bi2, c2ei2=ei2, c2fi2=fi2, dfi2=cdei2, eg3i2=egi2, g4i2=g2i2, c2hi2=hi2, g3hi2=ghi2, bi3=abgi2, c2i3=i3, dei3=adegi2, fi3=afgi2, gi3=ac2g2i2, i4=c2i2, bc2j=bc3, c2dj=ac2de, ej=ab2cj, fj=ab2j, c2gj=ac2eg, g3j=gj, chj=ac2dg2h, dhj=b2cj, g2hj=hj, bi2j=bci2, c2i2j=aeg2i2, hi2j=acdg2hi2, i3j=egi2, b2j2=j2, c2j2=b2c2, dj2=aj2, g2j2=j2, hj2=acj2, i2j2=b2i2, j3=b2j, b2k=k, c2k=bc3, dk=ak, ek=ack, fk=ak, g2k=k, hk=ack, i2k=bci2, jk=bc2, k3=k, b2l=l, c3l=cl, dl=al, el=acl, fl=al, g2l=l, hl=acl, i2l=bi2, jl=cl, ckl=bc2l, k2l=l, l2=b2i2>

P = {a, b2, ac, ac2, b2c2, ac3, cd, c3d, ag, acg, ac2g, ac3g, cdg, c3dg, fg, c2fg, ag2, acg2, ac2g2, ac3g2, cdg2, c3dg2, ag3, acg3, cdg3, ag4, acg4, ch, c3h, gh, cgh, c2gh, c3gh, cg2h, c3g2h, g3h, cg3h, ci, c3i, acdi, ac3di, aei, ac2ei, bgi, ab2c2gi, c3gi, ac3dgi, acdegi, cg2i, c3g2i, ac3dg2i, ceg3i, ahi, ac2hi, dhi, c2dhi, acghi, ac3ghi, ag2hi, ac2g2hi, acdg3hi, ai2, b2i2, aci2, ac2i2, ac3i2, cdi2, c3di2, acgi2, ac3gi2, cdgi2, c3dgi2, ag2i2, acg2i2, ac2g2i2, ac3g2i2, cdg2i2, c3dg2i2, acg3i2, chi2, ghi2, cg2hi2, ci3, acdi3, aei3, ahi3, dhi3, b2cj, ij, c2ij, agij, ab2gij, dgij, acdg2i2j, j2, bgij2, bck, gik, k2, bgik2, bl, bc2l, abcgil}

Phi = 1 a 1 a 1 b b b bc bc a c d c e ab b abc b f g h ah i j k bc l

Monoid Structure

Idempotent  |G|  |Arch|
122
b2824
c246
b2c216184
c2g2816
g448
ac3h48
ac3g2h822
b2i2 *16436
c2i2820
c2g2i2844
achi2816
acg2hi2830
j21628
k21616