Details Page for 0.5056

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1082
P-Portion Size:   14
Tame?   No

MSV File: q-0.5056.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
562
8102
12184
14265
15408
17529
245610
256812
267013
297414
629014
16312214
47218614
95131414
230857014
5366108214

(Click on a heap to see details)

Details for Q29(0.5056):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b4=b2, b3c=bc, bc2=b3, c4=c2, b2d=ab2, bcd=abc, c3d=cd, d2=b2, b2e=ab2, bce=abc, c3e=ce, bde=b3, c2de=de, e2=b2, b2f=ab3, cf=abc, df=b3, f2=b2, bg=b2, cg=bc, dg=bd, eg=ab3, fg=abef, g2=b2, b2h=ab3, ch=abc, bdh=bef, eh=b3, fh=bef, gh=bh, h2=b2, bi=bc, ci=bef, di=ab2c, ei=ab2c, fi=abc, gi=bc, hi=abc, i2=b2, b3j=bj, b2cj=cj, c2j=b2j, dj=ab2j, ej=ab2j, bfj=ab2j, gj=bj, hj=abj, ij=cj, j2=b2, bk=abef, ck=abc, dk=b3, ek=b3, fk=b2, gk=ab2, hk=bef, ik=abc, jk=abj, k2=b2, bl=b2j, cl=bcj, dl=abj, el=abj, fl=ab2j, gl=b2j, il=bcj, jl=b3, kl=ab2j, l2=b2>

P = {a, b2, c2, cd, ae, ac2e, af, ef, bh, ai, aj, fj, ak, hl}

Phi = 1 a 1 a 1 b b b bc bc bc c d ab2 e f g h g abc abc ab2c b2c ce i j k g be l bj bcj ab2c b2c ab2c abc abc abc ab3 ab3 ab2 ab2 ab2 b2c b2c cj abc bc b3 b3 b3 bj ab2 ab2 b2j b2j bc abc bc abj abj abj

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *1666
c246