Details Page for 0.1357

Complete Solution is Known:

Period:   24
Preperiod:   141
Quotient Size:   40
P-Portion Size:   9
Tame?   No

MSV File: q-0.1357.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
9123
17186
23248
49329
53409

(Click on a heap to see details)

Details for Q53(0.1357):

Q = <a,b,c,d,e,f,g | a2=1, b3=b, bc2=b, c3=c, bd=bc, cd=b2, d3=d, be=bc, ce=b2, e2=de, bf=ab, cf=ab2c, d2f=f, f2=b2, b2g=g, c2g=g, dg=cg, eg=cg, fg=ag, g2=b2>

P = {a, b2, ac, ac2, d, ad2, e, ade, adf}

Phi = 1 a a b b ab ab a a c c ab ab b b ab2 ab2 d d b b bc bc e e ab2 ab2 b b abc abc ab2 ab2 d2e d2e ab ab b b ade ade b2c b2c bc bc abc abc b2c b2c f f b b g g ab2c ab2c b2c b2c abc abc b b ab2 ab2 g g bc bc abc abc b2c b2c ab2 ab2 b b ab ab ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 b2c b2c b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g bc bc abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc b2c b2c ab2 ab2 b b g g ab2 ab2 b2c b2c abc abc b b ab2 ab2 g g b b abc abc

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *1624
c244
d244
de46