Details Page for 0.0345

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   694
P-Portion Size:   78
Tame?   No

MSV File: q-0.0345.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
8102
11285
12489
176812
1917426
2029838
2169478

(Click on a heap to see details)

Details for Q21(0.0345):

Q = <a,b,c,d,e,f,g,h,i | a2=1, b3=b, b2c3=c3, c5=c3, b2cd=cd, c2d=c3, d4=d2, b2ce=ce, c3e=ac4, d3e=de, cde2=cd3, e3=e, bf=ab, c3f=ac3, cdf=acd, cef=ace, f2=b2, b2c2g=c2g, c3g=ac4, b2dg=dg, b2eg=eg, fg=ab2g, b2g2=g2, cg2=ac2g, d3g2=dg2, g4=c4, b2h=h, c3h=c4, d2h=b2de2, deh=b2d2e, fh=ah, dg2h=d2e2g2, ch2=b2c, eh2=b2e, dh3=dh, h4=h2, b2c2i=c2i, c3i=c4, b2di=di, cdi=cd2, d3i=di, b2ei=ei, c2e2i=c2i, de2i=di, cfi=ab2ci, dfi=adi, efi=aei, ce2gi=b2cgi, e2g2i=g2i, dhi=d2i, h2i=b2i, bi2=bd2e2, c2i2=c4, di2=b2de2, ei2=b2d2e, g2i2=d2e2g2, hi2=b2de2, ci3=cd3, gi3=d2gi, fi4=fi2, i5=i3>

P = {a, b2, c2, b2c2, c4, ad, bcd, ad2, b2d2, ad3, bcd3, ae, bce, ade, b2de, ad2e, bcd2e, ae2, b2e2, c2e2, ade2, ad2e2, b2d2e2, cf, ag, bcg, abdg, acd2g, abd3g, abeg, c2eg, abd2eg, ace2g, abde2g, g2, d2g2, abdeg2, e2g2, d2e2g2, dg3, eg3, d2eg3, bch, dh, eh, ac2eh, bce2h, bcgh, abe2gh, ac2e2gh, abeg2h, h2, abdgh2, g2h2, abg3h3, i, abci, di, ei, ac2ei, d2ei, bce2i, ac2gi, abd2gi, abe2gi, ag3i, ad2g3i, deg3i, hi, c2hi, bcehi, e2hi, bceghi, bg2hi, ai2, agi2, i3, ai4}

Phi = 1 1 a a b b ab ab c a a d e ab ab b b f ab2 g h i

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c4 *8532
d246
b2d2818
e244
b2e21620
d2e288
b2d2e23278
h2812
i448