Details Page for 0.1701

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   638
P-Portion Size:   109
Tame?   No

MSV File: q-0.1701.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
10123
14245
2514423
2717628
3036065
3152089
3255293
33638109

(Click on a heap to see details)

Details for Q30(0.1701):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b4=b2, b2c=b3, c3=c, b2d2=b2, bcd2=bc, d3=d, b2e=ab2, ce=ab3, e2=b2, b2f=ab2, cf=ac, f2=1, bg=abc, cdg=ac2d, d2eg=eg, g2=acg, bch=b2h, cgh=ac2h, b3h2=bh2, ch2=bh2, d2h2=h2, eh2=ab2h2, bfh2=abh2, gh2=abh2, h3=ab2h2, b2i=b2, bci=b2, bdi=deg, cdi=bc2d, ei=ab2, gi=aci, chi=b3h, bh2i=bh2, i2=b2, bj=be, cj=ab3, dj=de, ej=b2, gj=bi, h2j=ab2h2, ij=ab2, j2=b2, b2k=b2d, bck=b2d, cdk=b3, dek=ab2, dfk=adk, dgk=ab3, egk=b3d, h2k=b2dh2, bik=abek, dik=b2, hik=aehk, bk2=b3, c2k2=k2, dk2=b2d, ek2=ab2, fk2=ak2, hk2=b2h, jk2=ab2, ik3=c2ik, k4=k2>

P = {a, b2, c, ac2, ad, cd, ac2d, ad2, cd2, ac2d2, ae, ad2e, f, df, d2f, ef, d2ef, ag, cg, ac2g, adg, ad2g, fg, dfg, d2fg, bh, b3h, bd2h, eh, bdeh, d2eh, abfh, abd2fh, befh, bd2efh, aefgh, h2, b2h2, afh2, ahi, adhi, ad2hi, abfhi, afh2i, aj, fj, hj, k, ack, c2k, dk, afk, gk, acgk, c2gk, afgk, chk, adhk, abehk, aghk, fghk, acik, ak2, ack3, gk3}

Phi = 1 a a 1 b a ab 1 a a c2g b c ab d a ad c2g b c ab e f ae g h c i j ac2 k

Monoid Structure

Idempotent  |G|  |Arch|
144
b28120
c244
d288
c2d2816
acg48
b2h2 *8168
k2816
acgk2816