Details Page for 0.1066

Complete Solution is Known:

MSV File: q-0.1066.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₁(0.1066):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b⁴=b², b³c=bc, c³=c, bd=bc, d²=b²c², b³e=be, ce=abc, de=abc, b²e²=e², e³=abe², e²f=b²c²f, f²=b²c², bcg=bcf, beg²=be, e²g²=e², b²fg²=b²f, dfg²=df, b²g³=b²g, cfg³=cfg, bg⁴=bg², cg⁴=cg², dg⁴=dg², eg⁴=eg², g⁵=g³, b³h=bh, bch=abc, c²dh=dh, eh=be², bfh=abc²f, c²fh=fh, bg²h=bh, dg²h=dh, g³h=gh, bh²=be², dh²=adh, fh²=afh, h³=ah², bi=bh, ei=be², fi=ab²c²f, g²i=i, ci²=aci, di²=adi, hi²=ahi, i³=ai², bcj=abc, e²j=ae², cfj=acf, dfj=adf, b²g²j=b²j, bhj=be², dhj=adh, fhj=afh, cghj=acgh, gh²j=agh², cij=aci, dij=ac²di, hij=ahi, i²j=aij, cj²=acj, dj²=adj, ej²=aej, fj²=afj, hj²=ahj, ij²=aij, j³=aj², b²k=k, ck=bc, dk=bc, e²k=abek, fk=bc²f, g²k=k, hk=bek, ik=bek, jk=bek, k²=b²c², b³l=bl, cl=abc, dl=abc, b²el=el, e²l=abel, fl=ef, bg²l=bl, eg²l=el, g⁴l=g²l, hl=bel, il=bel, ejl=ael, j²l=ajl, kl=ab²c², l²=el, cm=abc, dm=abc, e²m=abem, b²fm=abc²f, efm=abfm, b²g²m=b²m, hm=bem, im=bem, b²jm=bem, ejm=abjm, bg²jm=eg²m, fg³jm=afg³m, j²m=ajm, km=ab²c², elm=ablm, bjlm=ablm, g²jlm=ag²lm, m²=b²c², bn=abc, cn=ab²c², en=bc, dg²n=dn, g³n=gn, hn=b²c, i²n=ain, fgjn=afgn, ijn=ab²c, j²n=ajn, kn=abc, ln=bc, mn=bc, n²=b²c², bo=bc, do=b²c², eo=abc, c²fo=fo, c²go=go, g²o=c²o, c²ho=ho, fho=dfh, h²o=aho, io=ab²c, cjo=aco, fjo=afo, gjo=ago, hjo=aho, j²o=ajo, ko=bc, lo=abc, mo=abc, fno=ab²c²f, gno=ab²c²f, o²=b²c², bp=bc, cp=co, ep=abc, fp=fo, dg²p=dp, g³p=gp, hp=ho, ip=ain, j²p=ajp, kp=bc, lp=abc, mp=abc, np=no, op=b²c², p²=b²c², bq=bc, cq=co, dq=din, eq=abc, fq=fo, g³q=gq, hq=ho, iq=ain, jq=jo, kq=bc, lq=abc, mq=abc, nq=no, oq=b²c², pq=b²c², q²=b²c², bcr=abc, c²dfr=dfr, cfg²r=cfr, b²hr=hr, chr=b²c, dhr=b²c, fhr=b²c²f, g²hr=hr, h²r=e²r, ir=hr, cjr=acr, djr=adr, hjr=e²r, elr=ab²lm, b²mr=akr, bemr=abekr, bfg²mr=adfn, blmr=abc², g²lmr=adjn, nr=b²c, or=ab²c, g²pr=pr, jpr=apr, qr=ab²c, r²=b²c², b³s=bs, cs=cr, ds=dr, es=blm, fs=c²fr, bg²s=bs, g⁴s=g²s, hs=b²lm, is=b²lm, bjs=blm, j²s=ajs, ks=abc², ls=blm, ms=bc², ns=b²c, os=ab²c, ps=pr, qs=ab²c, rs=b²c², s²=b²c², b³t=bt, bct=bcf, b²et=et, dft=b²c, b²fgt=fgt, cfgt=b²cf, bg²t=bt, dg²t=dt, eg²t=et, fg²t=b²ft, g³t=gt, dht=ac²dt, fght=ab²c²f, ch²t=acht, cit=cg²ht, hit=g²h²t, cjt=act, ejt=be²t, bfjt=ab²efgj, fgjt=abefj, hjt=h²t, ijt=g²h²t, b²lt=lt, g²lt=lt, jlt=belt, b²mt=mt, fmt=abc², g²mt=mt, jmt=bemt, fnt=ab²c, g²nt=nt, int=ant, jnt=b²cf, ot=b²cf, g²pt=pt, qt=ant, cdrt=ab²c²f, b²frt=frt, cfrt=ab²c, g²rt=rt, fjrt=abefgjr, mrt=akrt, g²st=st, t²=b²c², b³u=bu, bcu=bcf, b²eu=eu, fu=b²c², g²u=u, bhu=eu, cdiu=acdu, chiu=achu, dhiu=adhu, h²iu=ah²u, bju=eu, cju=acu, eju=be²u, hju=hiu, b²lu=lu, elu=ablu, jlu=alu, b²mu=mu, jmu=bemu, jnu=b²cf, ou=b²cf, qu=inu, cdru=ab²c²f, hru=beru, lru=blmu, mru=akru, crtu=dfgr, prtu=fgn, u²=b²c²>

P = {a, b², ac, ac², b²c², abe, e², acdg, fg, b²fg, c²fg, acdfg, abefg, g², b²g², c²g², acdg², acdg³, fg³, g⁴, ab²h, ch, cfh, cdgh, afgh, ag²h, ac²g²h, ach², g²h², c²g²h², ai, ac²i, acdi, hi, c²hi, cdhi, ah²i, ac²h²i, i², j, ab²j, cj, c²j, bej, afgj, ab²fgj, befgj, ag²j, ac²g²j, cdg²j, afg³j, ag⁴j, g²hj, ah²j, ac²h²j, ij, aj², b²j², g²j², g⁴j², bk, aek, abl, el, bjl, abm, ab³m, em, b²em, abfgm, abg²m, eg²m, abfg³m, bjm, bfgjm, lm, b²lm, g²lm, ajlm, an, dgn, din, afjn, adgjn, co, cfgo, cgho, ano, dp, adjp, br, b³r, acdr, ae²r, bfr, b³fr, gr, b²gr, c²gr, abegr, bfg²r, g³r, c²g³r, cdg³r, hr, abfjr, ab³fjr, agjr, ab²gjr, begjr, abfg²jr, ag³jr, gj²r, b²gj²r, g³j²r, abkr, ekr, abglr, bgjlr, bmr, aemr, afgmr, ag²mr, afg²mr, abg³mr, eg³mr, afg⁴mr, abjmr, abfgjmr, almr, jlmr, adpr, ab²s, gs, g³s, agjs, ag³js, ft, b²ft, c²ft, abeft, gt, b²gt, c²gt, cdgt, abegt, e²gt, aght, ab²ght, ac²ght, gh²t, agit, gi²t, afjt, agjt, ab²gjt, gj²t, b²gj²t, bgkt, aegkt, abglt, eglt, abgmt, egmt, glmt, adgnt, dgpt, adgjpt, rt, b²rt, bfrt, bgrt, ac²grt, ae²grt, ghrt, ajrt, ab²jrt, j²rt, b²j²rt, abgkrt, egkrt, adgprt, agst, ab²gst, gjst, agu, ab²gu, acgu, ac²gu, begu, ae²gu, ghu, acdghu, agh²u, c²gh²u, giu, cgiu, aghiu, agi²u, gju, agiju, agj²u, bgku, aegku, bglu, adgnu, ginu, gpu, dgjpu, abgru, egru, abe²gru, bgsu, atu, ab²tu, actu, ac²tu, betu, ae²tu, htu, chtu, ah²tu, itu, ai²tu, jtu, aj²tu, bktu, aektu, bltu, antu, ptu, djptu, brtu, abe²rtu, abkrtu, bstu}

Phi = 1 a 1 1 1 bc bc bc abc b a a a c d e bc bc bc f g h i j abc abc abc k l abel m n o p q abc bc abc r s t u

Monoid Structure