Details Page for 0.3423

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   218
P-Portion Size:   38
Tame?   No

MSV File: q-0.3423.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
13123
22163
254411
275615
2812830
2913432
3021838

(Click on a heap to see details)

Details for Q30(0.3423):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b3=b, c3=c2, c2d=cd, b2d2=d2, cd2=d2, d3=ad2, be=abd, ce=acd, de=ad2, e2=d2, b2c2f=c2f, bdf=abcf, cdf=ac2f, d2f=c2f, ef=adf, c2f2=d2, f3=f, c2g=cg, cdg=dg, d2g=ad2, eg=adg, fg=acf, g2=d2, bc2h=bch, bdh=abch, d2h=b2ch, eh=adh, c2fh=b2cfh, bf2h=bh, bgh=abch, b2h2=h2, ch2=h2, dh2=ah2, f2h2=h2, gh2=ah2, h3=bh2, bi=abh, di=adh, ei=dh, fi=afh, gi=agh, hi=ah2, i2=h2, bj=c2f, d2j=bc2f, ej=acdj, c2fj=bd2, dfj=abd2, cdhj=dhj, h2j=bfh2, ij=ahj, c2j2=d2, cdj2=ad2, gj2=acf2j2, dhj2=ab2ch, f2hj2=hj2, fj3=fj, hj3=f2hj, j4=j2>

P = {a, b, ab2, ac, bc, ab2c, ac2, bc2, ab2c2, d2, f, abf, b2f, af2, bf2, ab2f2, g, abg, b2g, cg, abcg, b2cg, adh, acdh, bcfh, cf2h, adf2h, agh, acgh, dgh, h2, aci, ac2i, afj, acfj, aj2, acj2, af2j2}

Phi = 1 a 1 a acf cf acf 1 a 1 cf acf cf b ab d2 acf cf ac2f ab b c d e acf f af g h i j

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c224
b2c248
d2886
f244
b2f288
h2 *888
j246
f2j288