Details Page for 0.335

Complete Solution is Known:

MSV File: q-0.335.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₆(0.335):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a²=1, b³=b, b²c=c, c⁴=ac³, b²d=d, c³d=bc³, d²=abcd, b²e=e, c³e=abc³, de=abce, e²=abe, f=b, b²g=g, c³g=abc³, cg²=ac²eg, dg²=bc²eg, eg²=abg², g⁴=ac³, b²h=h, c²h=ac³, cdh=ac²d, cegh=bg³, g³h=bc³, ch²=c³, dh²=c²d, gh²=acgh, h³=ac³, b²i=i, c²i=ac²eg, cgi=abc²eg, dgi=c²eg, egi=abgi, g²i=bg³, chi=abg³, ghi=bg²h, h²i=bg³, ci²=ac²eg, di²=bc²eg, ei²=abi², gi²=abc²eg, hi²=ac³, i³=c³, b²j=j, c³j=bc³, dj=abcj, ej=abj, c²gj=c³, g³j=c³, chj=ac²j, ghj=abg²j, h²j=c²j, hij=abgij, i²j=abc³, cj²=c³, gj²=abc²eg, hj²=ac³, ij²=ac²eg, j³=abc³, b²k=k, c²k=abc²eg, dk=abck, ek=abk, cgk=ac²eg, g²k=g³, chk=ag³, ghk=g²h, h²k=g³, cik=abc²eg, gik=ac²eg, hik=abc³, i²k=bc³, cjk=bcij, gjk=bgij, hjk=agij, ijk=ac³, j²k=abc²eg, ck²=c³, gk²=abc²eg, hk²=ac³, ik²=c³, jk²=abc³, k³=bc³, b²l=l, cl=aj², dl=bj², el=abl, g²l=c²eg, hl=j², gil=bc²eg, i²l=ac³, jl=abc³, kl=bil, l²=ac³, b²m=m, cm=abcei, dm=cei, em=abm, gm=bgk, hm=bhk, im=i², j²m=ac²eg, km=ik, lm=il, m²=i², b²n=n, cn=cj, dn=abcj, en=abn, g²n=abc³, ghn=c³, h²n=abc³, gin=ac³, hin=bc³, i²n=abc³, jn=ac³, gkn=abc³, hkn=c³, ikn=ac³, k²n=abc³, ln=abc³, mn=in, n²=ac³, b²o=o, co=acei, do=bcei, eo=abo, go=bgi, ho=aehi, io=bi², jo=bjm, ko=bik, lo=bil, mo=bi², no=bin, o²=i², p=l, b²q=q, c²q=ac²eg, dq=abcq, eq=abq, cgq=acij, g³q=abc³, chq=ag²q, g²hq=c³, h²q=g²q, ciq=ac²eg, giq=abc²eg, hiq=ac³, i²q=c³, jq=jm, kq=bk², lq=il, mq=bik, nq=bkn, oq=ik, q²=k², b²r=r, c²r=c²j, dr=abcr, er=abr, g³r=agij, cghr=gij, g²hr=bgij, h²r=achr, i²r=abc³, jr=bc²j, ckr=bcir, gkr=bgir, hkr=bhir, ikr=ac³, k²r=abc³, lr=abc³, mr=bkr, nr=ac³, or=kr, qr=bkr, r²=ac³, b²s=s, c²s=abc²eg, cegs=bc²eg, g²s=g³, chs=ag³, dghs=acdgs, eghs=abg²h, h²s=g³, cis=abc²eg, eis=aiq, gis=ac²eg, his=abc³, i²s=bc³, js=jk, cks=c³, gks=abc²eg, hks=ac³, iks=c³, k²s=bc³, gls=c²eg, ils=abc³, ms=biq, gns=abc³, hns=c³, ins=ac³, kns=abc³, os=iq, qs=bks, rs=kr, s²=ac³, b²t=t, ct=aj², dt=bj², et=abt, g²t=ac³, ht=j², git=abc³, i²t=ac³, jt=abc³, gkt=ac³, ikt=abc³, k²t=ac³, lt=ac³, mt=it, nt=abc³, ot=bit, qt=bkt, rt=abc³, st=bit, t²=ac³, b²u=u, c³u=ac³, c²dgu=abcdgs, cegu=bc²eu, g³u=abc³, chu=ac²u, dhu=acdu, ehu=abegu, g²hu=c³, cdiu=cdgs, ceiu=bgij, giu=abgij, hiu=aciu, i²u=c³, c²ju=abgij, gju=bcju, hju=acju, iju=bgij, j²u=agij, ku=cju, glu=bgij, ilu=ac³, mu=bcju, hnu=abgnu, inu=abc³, ou=cju, qu=bcju, cru=cju, gru=bcju, hru=acju, iru=bgij, su=bgij, gtu=bgij, itu=ac³, u²=ac³, b²v=v, c³v=bc³, dv=abcv, ev=abv, c²gv=agij, g³v=agij, chv=ac²v, g²hv=abc³, h²v=c²v, civ=bcgv, giv=bg²v, hiv=bghv, cjv=abc²v, g²jv=ac³, hjv=ac³, ijv=bgjv, j²v=c²v, gkv=g²v, hkv=ghv, ilv=hir, mv=iv, gnv=abgnu, hnv=ac³, inv=agnu, ov=biv, cqv=bckv, gqv=bg²v, hqv=bghv, iqv=bikv, rv=bk²v, csv=ckv, hsv=ghv, isv=ikv, ksv=k²v, lsv=bhir, nsv=knv, itv=bgtv, cuv=bgij, guv=gij, huv=abgij, iuv=abc³, juv=agij, luv=abgij, nuv=c³, tuv=abgij, v²=ac³>

P = {a, b², bc, c², ac³, ad, abcd, bc²d, abe, ace, abc²e, abc²g, cdg, ac²dg, c²eg, g², abg³, h, ach, bdh, abeh, bceh, abgh, bcgh, adgh, egh, g²h, h², abeh², abi, bcdi, ei, abdhi, i², aj, cj, bc²j, bgj, ahj, j², gk, abhk, bik, k², l, abgl, ail, bn, bhn, akn, ao, abq, gq, abhq, ar, cr, bgr, ag²r, ahr, chr, bghr, bs, cds, aes, acgs, dgs, adhs, ghs, t, abgt, ait, abkt, abu, bcu, adu, abc²du, eu, aceu, gu, bc²gu, bdgu, abcdgu, abegu, abhu, biu, diu, aeiu, aju, cju, ablu, anu, atu, bv, cv, ac²v, abcgv, ag²v, bhv, jv, ikv, abjkv, bk²v, alv, bglv, nv, abknv, btv, aktv}

Phi = 1 a b ab b² c d e b² be b g h i j k l m n o l q r s t u v

Monoid Structure