Details Page for 0.1347

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1120
P-Portion Size:   20
Tame?   No

MSV File: q-0.1347.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
8102
12123
19286
21368
23409
28469
305210
325611
346011
387212
519014
5311220
14412820
46116020
138122420
313435220
865260820
19446112020

(Click on a heap to see details)

Details for Q144(0.1347):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b3=b, c3=c, bcd=abc, d2=b2c2, be=abc, de=b2c, e2=b2c2, bf=bd, df=b2c2, c2ef=ef, f2=b2c2, bg=bc, c2dg=dg, ceg=dg, fg=aef, g2=b2c2, bh=abc, c2h=h, dh=b2c, eh=b2c2, fh=ef, gh=ab2c2, h2=b2c2, b2i=i, di=ac2i, ei=aci, fi=ac2i, gi=ci, hi=aci, i2=b2c2, bcj=abc, bdj=bc2, c2dj=dj, ej=cdj, fj=cef, c2gj=gj, dgj=ef, hj=b2c, ij=ac2i, j2=b2c2, bck=c2i, bdk=aci, c2dk=dk, ek=cdk, c2fk=fk, c2gk=gk, dgk=cfk, hk=abc2i, ik=bc, jk=abci, k2=b2c2, b2l=l, c2l=l, dl=al, el=acl, fl=al, gl=cl, hl=acl, jl=al, kl=bcil, l2=b2c2>

P = {a, b2, ac, ac2, b2c2, abd, ce, acg, ac2g, aeg, ch, abi, cj, gj, ak, ab2k, ac2k, dk, fk, acgk}

Phi = 1 a a 1 bc bc abc abc b b a ab2c2 c b2c bc bc abc bc2 bc2 d ab2c2 c2g b2c e abc abc bc2 bc f ab2c2 g b2c h ab2c bj bc2 bc abc2 i c2i ac2i b2c bci bci abci bc bc2 abc2 ab2c ab2c b2c j ab2c2 k bc2 bc2 abc abc ab2c b2c b2c ab2c2 ab2c2 bc2 bc2 bc bc c2i b2c b2c ab2c2 ab2c2 bci bc2 abc bc bc c2i c2i ab2c2 ab2c2 bci bci abci abc ac2i c2i c2i ac2i ab2c bci bci bc bc abc abc bc2 bc2 ab2c2 ab2c2 b2c b2c bc bc abc bc2 bc2 ab2c2 ab2c2 b2c b2c ab2c abc abc bc2 bc2 ab2c2 ab2c2 b2c b2c ab2c ab2c abc2 bc2 bc2 abc2 c2i c2i ac2i b2c bci bci abci bc2 bc2 abc2 ab2c ab2c b2c b2c bci ab2c2 bc2 bc2 l c2i ab2c b2c b2c ab2c2 ab2c2 bc2 bc2 l ac2i bc b2c b2c l ab2c bci bc2 abc l c2i bc ac2i bl ab2c bci bci bc2i bc2i c2i c2i ac2i ci ab2c bci bci bc2i bc2i l bc2 bc2 ac2i ab2c2 bcl b2c b2c bc2i abc l bc2 bc2 ci bcl b2c b2c ab2c bc2i l bc2 bc2 ci ab2c2 ab2c2 b2c ab2c ab2c abc2 bc2 l abc2 c2i c2i ac2i bcl bci bci abci abc2 abc2 c2i ab2c ab2c ac2i bl abci ab2c2 bc2 l l abc ab2c ab2c bl abcl ab2c2 bc2 cl l l bc b2c bcl bcl abcl bc2 bci l l c2i c2i aci abl ab2c bci bci bc2i bc2i c2i c2i ac2i ci bl bci bci abci abci bc2i l ci bc2 bcl bcl abl abci abci l l abcil ac2i ci bcl ab2c abcl bc2i bci bci l acl ci ab2c2 ab2c2 bcl abc2i bci abc2 l l aci c2i c2i ac2i abc2i bci bci abc2 abc2 aci aci ab2c ab2c ac2i bcl abci bci al l l ab2c ab2c bcl bl bl bci bc2 acl al ab2c ab2c c2i bcl bcl ail bc2 bci abc2i l c2i bc aci bcl bcl bci bci abci bc2i c2i c2i aci ac2i bcl bci bci abci bc2i bc2i l ci ac2i bcl bcl abl abci abci cl acl abcil bc2 ci abil abcl il bc2i bci bci cl bc2 ci aci ab2c2 abcl abc2i bci bci l l aci c2i c2i ac2i abc2i bci bci abci l aci aci c2i ac2i ac2i bcl bci bci abci l l ab2c ab2c abl bl bl ab2c2 bci bci cl ac2i c2i c2i abl bl bcl bc2 bci cl al ab2c c2i ac2i abcl bcl bci bci bc2i bc2i c2i c2i aci ac2i bcl bci bci abci bc2i bc2i l ci ac2i abil bl bcl abci abci cl cl al bc2 bc2 abcil

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c244
b2c2 *32118