Details Page for 0.1461

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1774
P-Portion Size:   186
Tame?   No

MSV File: q-0.1461.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
18123
19164
226210
2510414
2863867
301350134
311774186

(Click on a heap to see details)

Details for Q31(0.1461):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, b2c=c, c4=c2, b2d=d, cd=bc2, d4=d2, ce=bc2, be2=bc2, de2=bc3, e4=e2, bf=be, cf=bc2, df=de, e3f=ef, f2=c2, c3g=cg, d3g=dg, fg=b2eg, b2g2=g2, c2g2=g2, dg2=bcg2, eg2=bcg2, g3=ag2, g2h=abcg2, b2h2=h2, ch2=c, e2h2=c2, fh2=eh2, h4=h2, efi=c2i, b2hi=hi, e2hi=c2hi, fhi=ehi, degh2i=c2gi, b2i2=i2, c3i2=ci2, d3i2=di2, ei2=bci2, fi2=bci2, c2gi2=gi2, dgi2=bcgi2, h2i2=i2, c2i3=i3, di3=bci3, g2i3=g2i, gi6=gi4, i8=i6, b2j=j, c2j=j, dj=bcj, ej=bcj, fj=bcj, g2j=bg2, h2j=j, i4j3=i2j3, j4=bj3, b2k=k, c3k=ck, dk=bck, ek=bck, fk=bck, c2gk=gk, h2k=k, ik=ci, c2k2=k2, k4=k2>

P = {a, b2, c2, d2, e, de, d3e, ae2, e3, aef, abg, ac2g, abdg, abd2g, g2, ah, ab2h, abc3h, adh, ad3h, ad2eh, ae2h, bgh, bcgh, bdgh, bd2gh, h2, d2h2, deh2, d3eh2, abgh2, abdgh2, abd2gh2, ah3, adh3, ad3h3, ad2eh3, bgh3, bdgh3, bd2gh3, bci, b2ei, abd3ei, dgi, aegi, ab2egi, ad2egi, ae3gi, abchi, bd2ehi, ghi, d2ghi, deghi, eh2i, abd3eh2i, adgh2i, ad2gh2i, aegh2i, bd2eh3i, gh3i, dgh3i, d2gh3i, i2, c2i2, d2i2, acgi2, g2i2, ahi2, ac2hi2, bghi2, abi3, bcgi3, aghi3, i4, acgi4, abchi4, bghi4, abi5, bcgi5, chi5, aghi5, i6, abchi6, abi7, chi7, bj, abgj, achj, cghj, bi2j, agi2j, abhi2j, ghi2j, achi3j, bi4j, agi4j, abhi4j, ghi4j, abghi5j, bi6j, achi6j, bchi7j, j2, agj2, abchj2, bcghj2, i2j2, abgi2j2, ahi2j2, bghi2j2, bci3j2, acgi3j2, abchi3j2, cghi3j2, i4j2, abgi4j2, ahi4j2, bghi4j2, bci5j2, acgi5j2, abchi5j2, i6j2, ahi6j2, bj3, abgj3, achj3, cghj3, bi2j3, agi2j3, abhi2j3, ghi2j3, ci3j3, abcgi3j3, achi3j3, bcghi3j3, ck, acgk, cg2k, abc2hk, bghk, bcjk, abcgjk, ahjk, ghjk, cj2k, acgj2k, abhj2k, bghj2k, bcj3k, abcgj3k, ahj3k, ghj3k, k2, agk2, g2k2, abchk2, bcghk2, bjk2, abgjk2, achjk2, cghjk2, j2k2, agj2k2, abchj2k2, bcghj2k2, bj3k2, abgj3k2, achj3k2, cghj3k2, ak3, gk3, ag2k3, bchk3, abcghk3, abjk3, bgjk3, chjk3, acghjk3, aj2k3, gj2k3, bchj2k3, abcghj2k3, abj3k3, bgj3k3, chj3k3, acghj3k3}

Phi = 1 a 1 1 b b b be a a ab2 ab ab b be be c d e f b ab g ab2 ab2 h b2e bc i bd j k

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c216106
d2812
e246
g28184
h2814
d2h21636
g2i2 *16392
i632282
bj31648
bi2j332272
k23256
g2k216216
bj3k232144