Details Page for 0.3747

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   924
P-Portion Size:   79
Tame?   No

MSV File: q-0.3747.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
6102
11182
12202
13507
1410213
1530624
1637029
1940232
2044636
2150643
2284870
2392479

(Click on a heap to see details)

Details for Q21(0.3747):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a2=1, b4=b2, b3c=bc, c2=b2, b2d=bc, bcd=b2, cd2=bd, bd3=bd, d4=d2, b2e=abc, bce=ab2, bd2e=cde, d3e=de, e2=b2, b2f2=b2, cf2=b2c, df2=bc, ef2=abc, f4=b2, b2g=ab2, bcg=abc, bdg=cde, cdg=ce, d2g=de, deg=b2, bf3g=abf3, eg2=abc, cg3=ab2c, dg3=abc, bfg3=abfg2, f2g3=af2g2, g4=ag3, b2h=b3, ch=bc, dh=bd, eh=cde, bgh=abh, f2gh=af2h, bh2=b3, f3h2=bf3h, gh2=ah2, h3=b3, b2i=ab3, ci=abc, di=abd, bei=bc, bf3i=ab2f, egi=ab2c, bg2i=ab2, f3g2i=ab3f, g3i=ag2i, bhi=ab3, f3hi=ab2f, ghi=ahi, h2i=ab3, i2=b2, b2j=ab3f, bcj=ab2cf, cdej=bej, bf2j=ab2f, dgj=ej, begj=abcf, cegj=abfgi, f3gj=af2g2i, bfg2j=f2hi, f2g2j=af2gj, bg3j=afhi, bhj=ab3f, f3hj=f2hi, h2j=ab3f, bij=b3f, eij=abej, f3ij=bf2gi, fgij=abfgj, g2ij=afhi, hij=b3f, j2=b2, b2k=b2cf, ck=abd2j, bdk=abd2j, bek=acej, dek=ad2ej, d3fk=dfk, f2k=b2cf, dfgk=adefj, g2k=cfg2, hk=abdj, bik=ab2cf, gik=bej, bjk=ab2c, fjk=abcf, egjk=abf2gi, ijk=b2c, k2=b2, l=acf, bm=bc, cm=b2, dm=bd2, em=bde, f2m=b2c, gm=cde, hm=bc, im=abc, km=abd2j, m2=b2, bn=b2c, dn=b2, en=ab2, f2n=bc, cgn=aceg, g2n=bc, hn=b2c, in=ab2c, kn=cfn, mn=ceg, n2=b2, bo=cde, co=ce, d3o=do, eo=b2, f2o=abc, go=agn, ho=cde, io=acde, fko=adefj, djko=befj, mo=bde, no=ab2, o2=b2, b2p=b2f, cp=b2cf, dp=bcf, ep=abcf, bf3p=af2g2i, bgp=abp, f2gp=af2p, g3p=ag2p, ghp=ahp, h2p=bhp, ip=ab3f, jp=abfp, kp=b2c, mp=b2cf, np=bcf, op=abcf, p2=b2>

P = {a, b2, d2, ade, f2, af2g, g2, f2g2, ag3, ah, abfh, af3h, h2, f2h2, bi, bf2i, afgi, af3gi, fhi, abj, cfj, bdfj, bgj, efgj, fg3hj, aij, af2ij, abfk, aefgk, efik, adjk, ad3jk, ejk, fjm, afjn, fgjn, ado, ad2fjo, jko, fp, fg2p, bfhp, af3hp}

Phi = 1 a b 1 a b c ac d c e f g h i j k acf m n o p

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *16492
d246
ag326