Details Page for 0.454

Complete Solution is Known:

MSV File: q-0.454.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₅(0.454):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q | a²=1, b³=b, bc²=b, c³=c, bd=ab, d²=b², be=b²c, ce=b, e⁴=e², bf=b²c, cf=b, f²=b², bg=ab, cdg=acd, e³g=eg, e²fg=fg, g²=ag, bh=b²c, ch=b, e³h=eh, efh=bc, gh=abc, h²=fh, bi=b²c, ci=b, dei=adefg, e³i=ei, fi=b², gi=ae²i, dhi=dfh, ehi=bc, i²=b², bj²=b, ej⁴=ej², fgj⁴=fgj², cj⁵=cj³, gj⁵=gj³, hj⁵=hj³, j⁶=j⁴, bk=bc, c²k=k, ek=b, fk=b, gk=ak, hk=b, ik=b, j⁵k=j³k, k²=b², bl=ab, cdl=adk, el=de²h, gl=ac²l, dil=dfl, kl=ab²c, l²=b², bm=ab, cm=cl, dm=dl, em=abc, fm=fl, gm=ac²l, hm=hl, im=il, km=ab²c, lm=b², m²=b², bn=bj, gn=ac²n, ehn=b²j, ein=b²j, j⁴n=j²n, mn=ln, n²=b², bo=ab²c, co=ab, do=bc, eo=de³fjn, go=bc, ho=ab², j³o=de²fj²n, ko=ab, ilo=flo, mo=lo, no=abcj, o²=b², bp=bj, cp=acln, e³p=ep, dfgp=ade²fp, dehp=de³fn, fhp=afhln, dip=dfp, hip=ahiln, j⁴p=j²p, kp=b²cj, lp=de³fn, mp=ab²j, np=b², op=abcj, p²=b², bq=bj, cdq=dkn, e³q=eq, gq=gp, hq=ahln, iq=ip, dej²q=adegj²p, dfj²q=dfj²p, efj²q=aefgj²p, j⁴q=j²q, kq=b²cj, lq=ab²j, mq=ab²j, nq=b², oq=abcj, pq=b², q²=b²>

P = {a, b², c², acd, ae, ae², ae³, de³, adef, ag, ac²g, ae²g, de²g, aefg, defg, adh, eh, adeh, fh, ei, dej, afj, ae²fj, de²fj, ij, adij, j², c²j², acdj², e²j², ade²j², aefj², ae³fj², agj², ac²gj², ae²gj², de²gj², aefgj², defgj², adhj², aehj², fhj², eij², ej³, adej³, e³j³, ade³j³, afj³, dfj³, ae²fj³, de²fj³, ahj³, dhj³, ae²hj³, de²hj³, ij³, adij³, j⁴, c²j⁴, adj⁴, ac²dj⁴, agj⁴, ac²gj⁴, dgj⁴, fhj⁴, adfhj⁴, hij⁴, afj⁵, dfj⁵, cj⁴k, acdj⁴k, al, ac²l, dhl, afhl, dfjl, aijl, ac²j²l, dhj²l, afhj²l, dfj³l, aij³l, ac²j⁴l, dj⁴l, afhj⁴l, dfhj⁴l, ahij⁴l, am, aj²m, aj⁴m, jn, c²jn, adjn, ac²djn, e²jn, ade²jn, efjn, adefjn, e³fjn, ade³fjn, fhjn, adfhjn, hijn, aj³n, c²j³n, acdj³n, aej³n, ae²j³n, ae³j³n, de³j³n, adefj³n, adhj³n, fhj³n, cjkn, acdjkn, ajln, ac²jln, djln, afhjln, dfhjln, ahijln, aj³ln, ac²j³ln, dhj³ln, afhj³ln, afo, afj²o, jp, adjp, e²jp, ade²jp, efjp, adefjp, agjp, dgjp, ae²gjp, de²gjp, aefgjp, ehjp, eijp, j³p, dej³p, e²j³p, aefj³p, agj³p, adegj³p, ae²gj³p, adhj³p, aehj³p, eij³p, jq, c²jq, dejq, e²jq, acj³q}

Phi = 1 1 a a b b ab c a d e f ab b b ab² g h i j k acl ab²c bj l m n ab ab b²c b²c o bc afl p q b²c

Monoid Structure