Details Page for 0.5113

Complete Solution is Known:

Period:   15
Preperiod:   43
Quotient Size:   58
P-Portion Size:   12
Tame?   No

MSV File: q-0.5113.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
1182
12122
23163
27366
32407
38469
405812

(Click on a heap to see details)

Details for Q40(0.5113):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b4=b2, bc=ab3, c2=b2, b3d=bd, cd=ab2d, b2d2=d2, d4=d2, b2e=b3, ce=ab3, de=bd, e2=b2, b2f=f, cf=af, df=ab2d, ef=bf, f2=af, cg=ab2g, b2dg=dg, d2g=d3, eg=b3g, fg=ab2g, g2=d2, bh=ab3, ch=be, dh=ab2d, eh=ab3, fh=af, gh=ab2g, h2=b2, bi=be, ci=ab3, d2i=bd2, ei=b2, fi=bf, gi=b3g, hi=ab3, i2=b2, b3j=bj, dj=ab2d, ej=bj, fj=af, gj=ab2g, hj=ab2j, ij=bj, j2=b2>

P = {a, b2, d2, ae, af, bg, abdg, h, ai, di, aj, b2j}

Phi = 1 a a a a b b b b a b2 c d b b3 b3 ab2 ab2 ab2 c b3 b3 b3 e ab2 f ab2 g b3 b3 b3 ab2 h ab2 abe b3 b3 b3 i ab2 j ab2 g b3 b3 b3 ab2 ab2 ab2 ab2 b3 b3 b3 b3 ab2 f ab2 d3 b3 b3 b3 ab2 ab2 ab2 ab2 b3 b3 b3 b3 ab2 f ab2 d3 b3 b3 b3 ab2 ab2 ab2 ab2 b3 b3 b3 b3 ab2 f ab2 d3 b3 b3 b3 ab2 ab2 ab2 ab2 b3 b3 b3 b3 ab2 f ab2 d3 b3 b3 b3 ab2 ab2 ab2 ab2 b3 b3 b3 b3 ab2 f ab2 d3 b3 b3 b3

Monoid Structure

Idempotent  |G|  |Arch|
122
b2824
d2 *828
af44