Details Page for 0.3125

Complete Solution is Known:

Period:   10
Preperiod:   35
Quotient Size:   58
P-Portion Size:   13
Tame?   No

MSV File: q-0.3125.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
6144
11349
164611
175012
325813

(Click on a heap to see details)

Details for Q32(0.3125):

Q = <a,b,c,d,e,f,g,h | a2=1, b3=b, b2c=c, c3=ac2, b2d=d, c2d=ac2, d2=c2, b2e=e, ce=bc, de=bd, e2=be, b2f=f, cf=c2, df=c2, f2=c2, b2g=g, cg=c, eg=bg, fg=ac2, g2=g, b2h=h, c2h=bc2, dh=bdg, eh=bh, fh=abc2, gh=h, h3=bh2>

P = {a, b2, bc, c2, d, bcd, be, bf, g, adg, bh, h2, ach2}

Phi = 1 a b h2 b h2 c b2 bh2 b2 bh2 d e h2 e h2 f g bh2 g bh2 d bg h2 bg h2 f g bh2 g bh2 ac2 h h2 h h2 ac2 h2 bh2 h2 bh2 ac2 bh2 h2 bh2 h2 ac2 h2 bh2 h2 bh2 ac2 bh2 h2 bh2 h2 ac2 h2 bh2 h2 bh2 ac2 bh2 h2 bh2 h2 ac2 h2 bh2 h2 bh2 ac2 bh2 h2 bh2 h2 ac2 h2 bh2 h2 bh2 ac2 bh2 h2 bh2 h2 ac2 h2 bh2 h2 bh2 ac2 bh2 h2 bh2

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *436
be44
g44
h248