Details Page for 0.5026

Complete Solution is Known:

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

MSV File: q-0.5026.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 Q25(0.5026):

Q = <a,b,c,d,e,f,g,h,i,j,k | 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, bc2i=abc2g, c2dei=ac2deg, c2dgi=ac2dg2, c2egi=ac2eg2, bi2=bc2, c2di2=c2d, ei2=c2e, fi2=ac2fgi, g4i2=g2i2, c2hi2=hi2, dhi2=c2dh, ghi2=ac2g2hi, c2i3=i3, di3=c2di, gi3=ac2g2i2, hi3=c2hi, i4=c2i2, bc2j=bc3, c2dj=ac2de, ej=ab2cj, fj=ab2j, c2gj=ac2eg, g3j=gj, chj=ac2dg2h, dhj=b2cj, g2hj=hj, c2i2j=ac2eg2, cdgi2j=cdei, hi2j=ac3dg2h, i3j=c2eg, b2j2=j2, c2j2=b2c2, dj2=aj2, g2j2=j2, hj2=acj2, i2j2=b2c2, j3=b2j, b2k=k, c2k=bc3, dk=ak, ek=ack, fk=ak, g2k=k, hk=ack, i2k=bc3, jk=bc2, k3=k>

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, c3gi, acdegi, cg2i, c3g2i, ceg3i, ahi, ac2hi, dhi, c2dhi, acghi, ac3ghi, ag2hi, ac2g2hi, acdg3hi, ai2, aci2, ac2i2, ac3i2, cdi2, acgi2, ac3gi2, cdgi2, ag2i2, acg2i2, ac2g2i2, ac3g2i2, cdg2i2, acg3i2, chi2, ci3, b2cj, ij, c2ij, agij, ab2gij, dgij, j2, bgij2, bck, gik, k2, bgik2}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b2824
c246
b2c2 *16424
c2g2816
g448
ac3h48
ac3g2h822
c3ghi822
c2i2820
c2g2i2844
achi2812
j21628
k21616