Details Page for 0.07

Complete Solution is Known:

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

MSV File: q-0.07.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
10123
14245
2514423
2717628
3036065
3152089
3255293
33638109

(Click on a heap to see details)

Details for Q30(0.07):

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=b2, ce=b3, 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=b2h2, bfh2=abh2, gh2=abh2, h3=b2h2, b2i=ab2, bci=ab2, bdi=deg, cdi=abc2d, ei=ab2, gi=aci, chi=ab3h, bh2i=abh2, i2=b2, bj=abe, cj=ab3, dj=ade, ej=ab2, gj=abi, h2j=ab2h2, ij=b2, j2=b2, b2k=b2d, bck=b2d, cdk=b3, dek=b2, dfk=adk, dgk=ab3, egk=ab3d, h2k=b2dh2, bik=abek, dik=ab2, hik=aehk, bk2=b3, c2k2=k2, dk2=b2d, ek2=b2, fk2=ak2, hk2=b2h, jk2=ab2, ik3=c2ik, k4=k2>

P = {a, b2, c, ac2, ad, cd, ac2d, ad2, cd2, ac2d2, e, d2e, f, df, d2f, aef, ad2ef, ag, cg, ac2g, adg, ad2g, fg, dfg, d2fg, abh, ab3h, abd2h, eh, bdeh, d2eh, bfh, bd2fh, befh, bd2efh, aefgh, h2, b2h2, afh2, ahi, adhi, ad2hi, abfhi, fh2i, aj, fj, ahj, k, ack, c2k, dk, afk, gk, acgk, c2gk, afgk, achk, dhk, abehk, ghk, afghk, cik, ak2, ack3, gk3}

Phi = 1 1 a a b 1 ab a a 1 c2g ab c b d 1 ad ac2g b ac ab e f ae g h c i j c2 k

Monoid Structure

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