Details Page for 0.2444

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2204
P-Portion Size:   23
Tame?   No

MSV File: q-0.2444.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
562
9102
12184
21345
23508
337411
4510615
4612418
5715621
5917223
7518823
16022023
35428423
73841223
185566823
4124118023
9861220423

(Click on a heap to see details)

Details for Q354(0.2444):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m | a2=1, b3=b, b2c2=c2, c3=ac2, c2d2=c2, d3=d, bce=abe, c2e=b2e, d2e=e, e2=c2, c2f=c2d, d2f=f, ef=de, f2=df, bg=be, c2g=b2e, d2g=g, fg=dg, eg2=b2e, g4=g2, b2h=h, c2h=bde, dh=be, eh=bc2d, fh=be, gh=bc2d, h2=c2, b2i=i, c2i=bc2, d2i=i, ei=be, gi=be, hi=b2de, i2=c2, b2j=j, c2j=bc2, d2j=j, ej=be, fj=bc2d, gj=be, hj=b2de, ij=c2, j2=c2, b2k=k, ck=ak, d2k=k, fk=dk, gk=ek, hk=bdek, ik=bk, jk=bk, k2=c2, b2l=l, cl=al, d2l=l, fl=dl, gl=el, hl=bdel, il=bl, jl=bl, l2=c2, b2m=m, cm=am, d2m=m, fm=dm, gm=em, hm=bdem, im=bm, jm=bm, m2=c2>

P = {a, b2, abc, c2, acd, ab2cd, d2, b2d2, abcd2, ace, df, b2df, abcdf, acg, eg, g2, acg3, ch, bi, abcdi, bdfi, bj, abcdj}

Phi = 1 1 a 1 a be abe be abe b ab b c b2e ab2e b2e abe be abe be ac2 d ad e ab2e b2e ab2e bc2 abc2 bc2 abc2 c2d ac2d f ac2 bde abde bde abc2 bc2 abc2 bc2 ab2e b2e ab2e g h ah ac2 be abe be abe b2e ab2e b2e ab2e i ai j ac2d c2d ac2d be ac2 bde abde bde bc2d abc2d bc2d bc2 ab2e b2e b2de k ak k ac2 bc2d bek abek bk b2de ab2de bc2 ab2e bc2 abc2 b2e bek bde abde be ac2d c2d ac2d ek bc2d abc2d bk ab2e ab2de b2e k c2d ac2d c2d ac2 bde abde bde bk abk bk b2de abc2 bc2 abc2 k bde abde ac2 be abe c2d ac2d ek aek bc2 bdek b2e ab2e b2e bek c2d ac2d be ac2 bde abe bde bk abk ab2e b2e bc2 abc2 ab2de k ak k abde abek ac2d abdk ek aek ek b2de l bc2d abc2d adk bdek adk ac2 adek ac2d bde abdk l bdk bc2 abc2 bel ab2de abek bek abek bek l ac2d bde ac2d adek dek b2e ab2e b2e ab2e bc2d k ak k ak ac2 bde abe bde l abdk abc2 abdk abc2 bc2d bdek dk bek abek bek ak ac2 l bdk abdk ab2e b2e ab2e bc2d ab2de bc2d k bdek abdek be abe ac2d abde bde bk bc2 l el ab2de bdel ab2de k dk k ac2 abde adl adek bdk aek bk aek abc2 bel adl ael bek abek bek l bdel bdl abel bdl bk aek dl l kl l k ak k c2d abdl abekl adel del abde kl bk b2de ab2de bdel bekl abekl bek abek ac2 el kl ekl bdl aek ek aek abekl adek adel kl dk bdek k ak bdekl abkl adel abk bk bde bk akl ekl bdel abdel ak ab2de bdek abe dl ekl abk bdl aek ab2e aek abc2 abekl k ak bek ak ac2 bdek bdekl abkl bkl aek bk abk l adekl ekl bdel bek ak bek ak el abekl ekl abk bk aek ab2e abdl bdekl abkl m ak bek ak bek bem kl abdekl ek aek bc2 aek am adekl dekl abek bek dk ak abdel k m dekl bc2 abk aek bk bem bm abdekl m k ak be bek dkl bem abk bm bc2d aek l aem em bdek abek bek abek dk bm bdekl dm dek bc2d bk abk adkl bm abm abdekl k ak k ak am adkl m abk bk aek ek aek adel em ael abdel bek abek abdem bem abem abdekl ek aek bk abk bk bdem abdem bl adk ak dk dem am m km abk ab2de aek ek bm bekm akl ac2 m bek ak am bem abem abekm adm abk abc2d bk aem km abdem be ac2d be ak am ael b2e ab2e b2e bc2 aek abe bekm abekm be ak ac2 bek abek bek bl abem bc2 ek bk abk bm adem dkm ac2 bek abel k ak adk ael dm b2e ab2e bdk abdk abdm bdm abekm abkm ac2 be bek abek bem ekm abc2 abkm bc2 aek ek abekm dkm bde abde abek ac2 dk bdkl abdkl am del dekl abk bk bdk bk bm ac2 dl ac2d be k l dekm akl bk bdkm dek adek dek dem aem em abdel bm lm adk abl b2e abdl l ek abk ac2d abdk dkm c2d abm dl bek abdek bdek dekm ab2de b2de abdl bdl ab2e dem belm dl em del ac2d abdek abdem alm abc2d bem abdl ab2e belm abelm ac2d c2d abe c2d be adk bdekm adk bdkl m adel bc2 dekl abdk dekm alm bdelm abdekm ac2 akm bek bdek dekm bdem abdl adm ek adek bk abekl belm abelm ac2d be abe be dk bdelm bdkl b2e abem bel adel abdem adlm em aem abdekl ac2 c2d dem ablm beklm m abdl m abc2 aek ek abdkm bm dl adl abek ekl abek elm klm bekl del ab2de b2e ab2e bk dekm dlm adlm ak bde k bdelm abdelm adl b2e bk b2e abc2 abelm bekl aek em ac2d be bek adk ablm adlm abdkl bdkl aek ab2de bdl adm dm adkl adlm dklm be ac2d be k klm abc2 bc2 ab2e bc2 dek bc2d abdkm eklm ac2d c2d be bdel dekl elm beklm abeklm bc2d ab2e bc2d ek klm bklm dkl abeklm

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *128242
d244
b2d288
df44
b2df88
g2812