Details Page for 0.1074

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   4474
P-Portion Size:   579
Tame?   No

MSV File: q-0.1074.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
662
10102
17123
25368
33448
377013
389016
4423438
4548268
4763487
484474579

(Click on a heap to see details)

Details for Q48(0.1074):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a2=1, b3=b, b2c=c, c2=b2, cd=ab2d, d3=d, b2e=e, de=bd, e2=b2, bdf=abd, f2=b2d2, b2g=g, dg=abd, fg=abf, g2=b2, b2h=h, dfh=adh, dh2=b2d, h4=h2, b2i=i, di=ab2d, fi=ab2f, gi=abi, i3=ai2, dj=df, ej=bj, fj=b2d2, gj=abj, h2j=b2j, ij=b2d2, j2=b2d2, dk=bd2h, b2fk=fk, gk=abk, hk=bd, i2k=aik, bjk=adh, cjk=bdh, b2k2=k2, ik2=ak2, jk2=ab2d2, k3=aik, b2l=l, dl=dh, fh2l=acfh3, h2il=ach3i, kl=bd, hl2=h, jl2=b2j, l3=l, b2m=m, dm=abd, fm=bd2, eh2im=bh2im, jm=bd2, eikm=bikm, ek2m=bk2m, m2=b2d2, b2n=n, dn=bd, h3n=hn, i2n=ain, ekn=bkn, fkn=cikm, ikn=akn, jkn=adh, fhln=acfh2n, hiln=ach2in, jln=achjn, h2mn=mn, imn=b2d2, kmn=abdh, l2mn=mn, n2=b2d2, b2o=o, do=ab2d, jko=bdh, h2imo=ah2im, ikmo=aikm, k2mo=ak2m, jno=ajn, kno=akn, efo2=bfo2, h3o2=ho2, eio2=bio2, eko2=bko2, flo2=acfho2, h2lo2=lo2, ilo2=achio2, l2o2=h2o2, himo2=h3im, fno2=aci2mo2, fo3=afo2, go3=aeo3, io3=aio2, ko3=ako2, lo3=acho3, eno3=bno3, mno3=abjn, o4=abeo3>

P = {a, b2, ac, ad, ad2, b2d2, be, abce, bf, bcf, ef, cef, abg, bcg, aeg, ceg, h2, ach2, beh2, abceh2, afh2, cfh2, abefh2, bcefh2, abgh2, bcgh2, aegh2, cegh2, ai, ci, abei, bcei, ah2i, ch2i, abeh2i, bceh2i, i2, aci2, bei2, abcei2, h2i2, ach2i2, beh2i2, abceh2i2, abj, bcj, bhj, abchj, fk, acfk, befk, abcefk, ajk, k2, ack2, bek2, abcek2, bfk2, bcfk2, efk2, cefk2, abfl, abcfl, aefl, acefl, hl, achl, behl, abcehl, abghl, bcghl, aeghl, ceghl, h3l, ach3l, beh3l, abceh3l, abgh3l, bcgh3l, aegh3l, cegh3l, ahil, chil, abehil, bcehil, hi2l, achi2l, behi2l, abcehi2l, bjl, bcjl, l2, acl2, bel2, abcel2, bfl2, bcfl2, efl2, cefl2, abgl2, bcgl2, aegl2, cegl2, ail2, cil2, abeil2, bceil2, i2l2, aci2l2, bei2l2, abcei2l2, hm, chm, behm, bcehm, abghm, abcghm, aeghm, aceghm, h3m, ch3m, beh3m, bceh3m, abgh3m, abcgh3m, aegh3m, acegh3m, bim, eim, bh2im, abch2im, abi2m, aei2m, achi2m, abcehi2m, abh2i2m, ach3i2m, abckm, acekm, bcikm, abk2m, lm, clm, belm, bcelm, abglm, abcglm, aeglm, aceglm, h2lm, ch2lm, beh2lm, bceh2lm, abgh2lm, abcgh2lm, aegh2lm, acegh2lm, ailm, abeilm, abchilm, acehilm, i2lm, bei2lm, bchi2lm, cehi2lm, bil2m, eil2m, abi2l2m, aei2l2m, bn, abcn, en, acen, bcfn, cefn, agn, cgn, abegn, bcegn, fhn, befhn, bh2n, abch2n, eh2n, aceh2n, bcfh2n, cefh2n, agh2n, cgh2n, abegh2n, bcegh2n, abin, bcin, aein, cein, abh2in, bch2in, aeh2in, ceh2in, abjn, achjn, bk2n, abck2n, acfln, abcefln, bhln, abchln, ehln, acehln, aghln, cghln, abeghln, bceghln, bl2n, abcl2n, el2n, acel2n, bcfl2n, cefl2n, agl2n, cgl2n, abegl2n, bcegl2n, abil2n, bcil2n, aeil2n, ceil2n, amn, abemn, bgmn, egmn, abchmn, acehmn, cghmn, bceghmn, blmn, elmn, aglmn, abeglmn, ao, co, abeo, bceo, fo, aefo, bgo, abcgo, ego, acego, efho, acefho, ah2o, ch2o, abeh2o, bceh2o, fh2o, acfh2o, bgh2o, abcgh2o, egh2o, acegh2o, efh3o, acefh3o, io, acio, beio, abceio, h2io, ach2io, beh2io, abceh2io, ai2o, ci2o, abei2o, bcei2o, ah2i2o, ch2i2o, abeh2i2o, bceh2i2o, bhjo, bchjo, cfko, abefko, bcefko, ak2o, ck2o, abek2o, bcek2o, fk2o, aefk2o, bcflo, eflo, ahlo, chlo, abehlo, bcehlo, fhlo, aefhlo, bghlo, abcghlo, eghlo, aceghlo, ah3lo, ch3lo, abeh3lo, bceh3lo, bgh3lo, abcgh3lo, egh3lo, acegh3lo, hilo, achilo, behilo, abcehilo, ahi2lo, chi2lo, abehi2lo, bcehi2lo, abjlo, bcjlo, al2o, cl2o, abel2o, bcel2o, fl2o, aefl2o, bgl2o, abcgl2o, egl2o, acegl2o, il2o, acil2o, beil2o, abceil2o, ai2l2o, ci2l2o, abei2l2o, bcei2l2o, abcmo, cgmo, ahmo, behmo, abcehmo, eghmo, ceghmo, abch2mo, cgh2mo, ah3mo, beh3mo, abceh3mo, egh3mo, cegh3mo, abimo, bcimo, aeimo, bi2mo, ei2mo, chi2mo, bcehi2mo, cekmo, almo, clmo, belmo, bcelmo, abcglmo, aceglmo, ah2lmo, ch2lmo, beh2lmo, bceh2lmo, abcgh2lmo, acegh2lmo, ilmo, bchilmo, ai2lmo, abei2lmo, abchi2lmo, abcl2mo, cgl2mo, abil2mo, bcil2mo, aeil2mo, bi2l2mo, ei2l2mo, abno, bcno, aeno, ceno, abcfno, acefno, gno, acgno, begno, abcegno, afhno, abefhno, abh2no, bch2no, aeh2no, ceh2no, abcfh2no, gh2no, acgh2no, begh2no, abcegh2no, bino, abcino, eino, aceino, bh2ino, abch2ino, eh2ino, aceh2ino, cflno, bceflno, abhlno, bchlno, aehlno, cehlno, ghlno, acghlno, beghlno, abceghlno, abl2no, bcl2no, ael2no, cel2no, abcfl2no, acefl2no, gl2no, acgl2no, begl2no, abcegl2no, bil2no, abcil2no, eil2no, aceil2no, mno, abgmno, aegmno, bchmno, cehmno, acghmno, abceghmno, ablmno, bclmno, aelmno, glmno, beglmno, achlmno, o2, aco2, beo2, abceo2, afo2, cfo2, abgo2, bcgo2, aego2, cego2, h2o2, ach2o2, beh2o2, abceh2o2, afh2o2, cfh2o2, abgh2o2, bcgh2o2, aegh2o2, cegh2o2, aio2, cio2, ah2io2, ch2io2, i2o2, aci2o2, h2i2o2, ach2i2o2, ajo2, abchjo2, k2o2, ack2o2, afk2o2, cfk2o2, hlo2, achlo2, behlo2, abcehlo2, abghlo2, bcghlo2, aeghlo2, ceghlo2, bjlo2, bcmo2, aemo2, cemo2, gmo2, acgmo2, abcegmo2, behmo2, abghmo2, bch2mo2, aeh2mo2, ceh2mo2, gh2mo2, acgh2mo2, abcegh2mo2, bimo2, abcimo2, abi2mo2, abcelmo2, bcglmo2, aehlmo2, ghlmo2, beghlmo2, bno2, abcno2, eno2, aceno2, agno2, cgno2, abegno2, bcegno2, bh2no2, abch2no2, eh2no2, aceh2no2, agh2no2, cgh2no2, abegh2no2, bcegh2no2, abino2, bcino2, abh2ino2, bch2ino2, bhlno2, abchlno2, ehlno2, acehlno2, aghlno2, cghlno2, abeghlno2, bceghlno2, amno2, abemno2, bgmno2, egmno2, abchmno2, acehmno2, cghmno2, bceghmno2, blmno2, elmno2, aglmno2, abeglmno2, bcehlmno2, abcghlmno2, aceghlmno2, ao3, co3, abeo3, bceo3, ah2o3, ch2o3, abeh2o3, bceh2o3, jo3, bchjo3, bmo3, abcmo3, acemo3, ahmo3, bh2mo3, abch2mo3, aceh2mo3, abno3, bcno3, abh2no3, bch2no3}

Phi = 1 a 1 a 1 a bd bd bd abd b b b ab a c c d abd bd bd bd abd e e f g b2d b2d b2d ab2d abd abd h bd i ab2d2 j k ab2d b2d b2d b2d ab2d l m abd2 n o

Monoid Structure

Idempotent  |G|  |Arch|
122
b23232
d244
b2d2 *163066
h2128192
i21632
h2i232128
k23250
l26464
i2l23264
i2o2848
h2i2o216224
k2o21672
abeo31680
abeh2o332416