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 Q62(0.5056):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | 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, b2m=m, c2m=m, dm=am, em=am, fm=abm, gm=bm, hm=abm, im=cm, km=abm, lm=bjm, m2=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 m ab2 b2j b3 b3 bc bc bc b2c bcj ab2 ab2 ab2 ab2j b3 ab3 b3 abc bj b2c b2c acj ab2j ab2j ab2j m abj bj bcj bcj bcm b2c abc abc abc ab3 ab3 ab3 ab2 bm ab2 bm ab2j cj bcm bcm bcm am bj am abm b2j b2j cj cj abcm bcj abj abj ajm jm ab2 ab2 b3 b3 bcjm abc bcj b2c abcm b2c cj ab2j ab2 m abjm abm abcj bj bcm acj acj ab2j ab2j ab2j m abj bj abm jm cjm b2c abc abc abjm abjm b3 b3 b3 bm bm

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *3282
c246