Details Page for 0.3165

Complete Solution is Known:

Period:   636
Preperiod:   3098
Quotient Size:   68
P-Portion Size:   2
Tame?   No

MSV File: q-0.3165.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
7102
9122
15202
65362
821682

(Click on a heap to see details)

Details for Q65(0.3165):

Q = <a,b,c,d,e,f | a2=1, b3=b, b2c=c, c2=b2, bd=ab, cd=ac, d2=b2, b2e=e, de=ae, e2=b2, b2f=f, df=af, f2=b2>

P = {a, b2}

Phi = 1 a b b2 b a b c ac d ac c abc d b e b ab2 b e abe abc bc abc e ac ab2 b ab2 b ab2 b e abe e c abc abe bce b ce ab2 e ab2 b ab2 e c abc c ac c bce ab2 b ab2 b ab2 b e c abc bc bce ace f ab2 b ab2 b ab2 b e abe e f ace bce abe b ace ab2 e ab2 b ab2 e c b abc ce c b ab2 abe ab2 e ab2 e abe c f af abe b ace ab2 e b f ab2 e abe f abf e ce ace ab2 b e abe ab2 b e abe f b abc bce ab2 abf ab2 cf ab2 b e b e abe f abf ab2 bce abe f ab2 b e b ab2 b e abe abc ace e ace bcf ab2 b e b ab2 b e abe ab2 f bce abc ace ab2 e b e ab2 e b abe f abf ace bce abe ab2 cf ab2 b ab2 b e b abe abc ace abf ab2 bcf abcf b e ab2 e b e abe c ace b abe acf ab2 e b e ab2 e b abe f ace c abf abe bce e ab2 b ab2 b e abe c abc abf acf cf b e ab2 e ab2 b abe f abf ace abc abe bce b e ab2 e ab2 b ab2 abe f abf abc bcf e b acf ab2 e ab2 abe ab2 e abf c abc bce acf aef ab2 b ab2 b ab2 b e abe e c e abc bce b ab2 abe ab2 abe ab2 e f e c bce acf ace ab2 b ab2 b ab2 b e abe c abf abc bce abe ab2 e ab2 b ab2 b e b abe c abc e cef ab2 bcf ab2 e ab2 abe b e c abe abc bce ab2 ace ab2 e b e abe e b f c f ace bce ab2 bcf ab2 e b e b e abe f abc ace ab2 ace ab2 b abe b e b e abe ab2 ace abc bce ab2 ace e abe b abe e abe ab2 f abf ace ab2 bce b abe acf ab2 b e abe e f b abc ab2 ace ab2 acf abe bcf e c b abe ab2 e ab2 ace ab2 abf b acf abe e b e ab2 e b bce ab2 bce acf b abe e abe e ab2 e f b ace b bce abf ab2 e abe e ab2 b abe b bce b c f bce abf e abe f b e bef ab2 b abf bce abf aef e c e ab2 e ab2 b ab2 b abf bce f bef abc e acf e b ab2 abe ab2 b f abf ace aef e abe acf abe e b ab2 b e b ab2 abe c e ab2 abe bcf b ab2 abe f b ab2 e abf abc abf abe e b ab2 b abe b abf ab2 abe aef e aef e abe b ab2 b abe abf f e abe aef abc aef e ab2 b ab2 b e b abe f c e abc abe aef ab2 b f abe e ab2 b abe e abf c abc abe ab2 b ab2 b ab2 b e abe e abe abc abf aef ab2 b ab2 e ab2 b abe e abe abf c f bef f ab2 b ab2 b ab2 e abe e abc e abe ace ab2 b ab2 b abcef b e abe e abc f abe f ace ab2 b ab2 e bcf b abe abc e f abf f ab2 b ab2 b e b e abe e abe f abe ace ab2 b ab2 b e b e abe c abe ab2 abe ab2 b ab2 b e b e abe e abe f abe ab2 b ab2 b ab2 b e abe e abe e abe f b ab2 ace ab2 b e abe c b e abc abe ab2 ace f ace b e b e b e ab2 abe f abe ab2 abf b bce b acf e abe e abc e ab2 f abf b ace b abf b e abe e abe ab2 abe ab2 b ace f bce b e acf c b e ab2 abe ab2 b bce f bce b acf e abe e ab2 e abe b ab2 ace bce b bcf ab2 e abe b abe e abe b f ab2 aef ab2 b e acf e abe b abe ab2 f b f bce abf b e ab2 e abe b ab2 f abe b ab2 e f b acf e abe

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *3234