Details Page for 0.3142

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   514
P-Portion Size:   2
Tame?   Yes

MSV File: q-0.3142.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
12102
62182
169342
683662
28251302
59672582
151245142

(Click on a heap to see details)

Details for Q62(0.3142):

Q = <a,b,c,d | a2=1, b3=b, b2c=c, c2=b2, b2d=d, d2=b2>

P = {a, b2}

Phi = 1 a b b2 ab2 b b2 b ab ab2 b ab2 c ab b2 ab bc c b ab2 ab b b2 b ab2 c b ab2 b bc b2 ab c b bc ab2 ab abc ab2 ab ab2 b abc ab2 ab ab2 c bc ab2 ab ab2 c b ab2 ab b b2 bc b2 c b c d abc c bc c ac abc c d ad ac ab ac ab abc ab2 abc ac ab bc c abc ab2 c b ad d bc b2 bc bd cd bc c bc abc c b c ac ab ab2 abc abd ac ab ac ad d c abc ac c b c cd acd c b c bd ab b2 b c ab2 bc c acd ab ab2 bc d ad abc ab2 bd b ab2 bc ab2 ad b c bc abd b2 b b2 bc b ab2 b c d ab ab2 b ab ab2 ab bcd acd ab b2 ab d

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *1616