Details Page for 0.3124

Complete Solution is Known:

Period:   10
Preperiod:   35
Quotient Size:   100
P-Portion Size:   25
Tame?   No

MSV File: q-0.3124.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
4123
6205
114010
166014
176415
197618
248823
329624
3410025

(Click on a heap to see details)

Details for Q34(0.3124):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b4=b2, b2c=b3, c2=1, b2d=d, cd=bd, d3=ad2, b2e=e, ce=be, d2e=ad2, e2=d2, df=bd, ef=be, bf2=bcf, f3=cf2, b2g=g, cg=bg, dg=d2, eg=d2, f2g=bfg, g2=d2, dh=d, bfh=b2h, f2h=cfh, gh=ad2, h2=b2h, bi=bch, di=bd, ei=beh, f2i=b3h, gi=abd2, hi=b3h, i2=b2h, b3j=bj, bcj=b2j, d2j=bd2, ej=beh, fj=bj, gj=abd2, hj=b2j, ij=bj, b2j2=j2, cj2=bj2, j3=bj2>

P = {a, b2, ac, bd, d2, e, bde, af, b3f, acf, af2, acf2, bg, ah, b2h, ach, aeh, acfh, ai, aci, afi, bj, acj, j2, adj2}

Phi = 1 a b j2 c j2 d b2 bj2 1 bj2 e b2f j2 f j2 g b2h bj2 h bj2 e b3h j2 i j2 g b2h bj2 ci bj2 ad2 b2j j2 j j2 ad2 j2 bj2 j2 bj2 ad2 bj2 j2 bj2 j2 ad2 j2 bj2 j2 bj2 ad2 bj2 j2 bj2 j2 ad2 j2 bj2 j2 bj2 ad2 bj2 j2 bj2 j2 ad2 j2 bj2 j2 bj2 ad2 bj2 j2 bj2 j2 ad2 j2 bj2 j2 bj2 ad2 bj2 j2 bj2 j2 ad2 j2 bj2 j2 bj2 ad2 bj2 j2 bj2

Monoid Structure

Idempotent  |G|  |Arch|
144
b248
d2 *436
b3f48
f248
b2h424
j2412