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 Q₂₇(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,w | a²=1, b³=b, b²c=c, c⁴=ac³, b²d=d, c³d=bc³, c²d²=ac³, d³=abcd², b²e=e, c³e=abc³, de=abce, e²=abe, f=b, b²g=g, c³g=abc³, d²g=abcdg, cg²=ac²eg, dg²=bc²eg, eg²=abg², g⁴=ac³, b²h=h, c²h=ac³, d²h=abcdh, g³h=bc³, ch²=c³, dh²=acdh, g²h²=ac³, h³=ac³, b²i=i, c³i=ac³, c²di=bc³, c²ei=abc²i, cgi=bc²i, dgi=ac²i, egi=abgi, g³i=abc³, cdhi=bcd²i, g²hi=c³, h²i=achi, ci²=c²i, di²=abc²i, ei²=abi², gi²=bc²i, hi²=ac³, i³=c³, b²j=j, c³j=bc³, dj=abcj, ej=abj, g³j=c²gj, ghj=abg²j, h²j=achj, c²ij=bc³, g²ij=bc³, hij=abgij, i²j=abc³, cj²=c³, g²j²=ac³, hj²=ac³, ij²=c²i, j³=abc³, b²k=k, c²k=gj², dk=abck, ek=abk, cgk=bgj², g²k=bg²i, chk=acehi, ghk=bghi, h²k=cehi, cik=bc²i, gik=c²i, hik=abc³, i²k=bc³, hjk=abgjk, ijk=ac³, j²k=bc²i, ck²=c³, gk²=bc²i, hk²=ac³, ik²=c³, jk²=abc³, k³=bc³, b²l=l, c²l=ac³, dl=abcl, el=abl, cgl=agj², g²l=abgj², hl=j², cil=ac²i, gil=abc²i, i²l=ac³, jl=abc³, ckl=abc²i, gkl=ac²i, ikl=abc³, k²l=ac³, l²=ac³, b²m=m, c²m=c²i, dm=abcm, em=abm, cgm=bc²i, g²m=g²i, hm=bhk, im=i², cjm=bcjk, gjm=bgjk, j²m=c²i, km=ik, lm=bkl, m²=i², b²n=n, cn=cj, dn=abcj, en=abn, g³n=c³, ghn=abg²n, h²n=abc²gj, gin=ac³, hin=bc³, i²n=abc³, jn=ac²gj, gkn=abc³, hkn=c³, ikn=ac³, k²n=abc³, ln=abc³, gmn=ac³, n²=ac³, b²o=o, co=bcm, do=acm, eo=abo, g²o=bg²i, gho=bghi, h²o=cehi, io=bi², jo=bjm, ko=bik, lo=kl, mo=bi², no=bmn, o²=i², b²p=p, cp=cl, dp=abcl, ep=abp, g²p=ac²i, ghp=bc²i, h²p=ac³, ip=bkl, jp=abc³, kp=kl, lp=ac³, mp=bkl, np=abc³, op=kl, p²=ac³, b²q=q, c²q=bgj², dq=abcq, eq=abq, cgq=acij, g³q=abc³, g²hq=c³, h²q=achq, ciq=c²i, giq=bc²i, hiq=ac³, i²q=c³, jq=jm, kq=bk², lq=bkl, mq=bik, nq=bkn, oq=ik, pq=bkl, q²=k², b²r=r, c²r=c²j, dr=abcr, er=abr, g³r=abgjk, cghr=gij, g²hr=gjk, gh²r=abgjk, g²ir=agjk, chir=gjk, ghir=bgjk, i²r=abc³, cjr=c³, gjr=bc³, hjr=ac³, ijr=c³, j²r=abc³, gkr=bgir, hkr=bhir, ikr=ac³, jkr=bc³, k²r=abc³, lr=abc³, mr=bkr, nr=ac³, or=kr, pr=abc³, qr=bkr, r²=ac³, b²s=s, c²s=bc²i, d²s=abcds, cegs=abc²i, g²s=bg²i, chs=abg²i, dghs=acdgs, h²s=bg²i, cis=bc²i, eis=aiq, gis=c²i, his=abc³, i²s=bc³, cjs=cjk, gjs=gjk, hjs=abgjk, ijs=ac³, j²s=bc²i, cks=c³, gks=bc²i, hks=ac³, iks=c³, jks=abc³, k²s=bc³, cls=abc²i, gls=ac²i, ils=abc³, kls=ac³, ms=biq, gns=abc³, hns=c³, ins=ac³, kns=abc³, os=iq, ps=ls, qs=bks, rs=kr, s²=ac³, b²t=t, ct=cl, dt=abcl, et=abt, g²t=ac²gj, ht=j², git=abc³, i²t=ac³, jt=abc³, gkt=ac³, ikt=abc³, k²t=ac³, lt=ac³, gmt=abc³, nt=abc³, ot=bmt, pt=ac³, qt=bkt, rt=abc³, st=bmt, t²=ac³, b²u=u, c³u=ac³, d²u=abcdu, c²dgu=abcdgs, cegu=bc²eu, g³u=abc³, chu=ac²u, dhu=acdu, ehu=abegu, g²hu=c³, gh²u=c²gu, c²iu=ac³, cdiu=cdgs, ceiu=gjk, giu=agjk, hiu=aciu, i²u=c³, c²ju=agjk, gju=bcju, hju=acju, iju=gjk, j²u=abgjk, ku=cju, clu=bgjk, glu=gjk, ilu=ac³, mu=bcju, g²nu=bc³, hnu=abgnu, inu=abc³, ou=cju, pu=lu, qu=bcju, cru=cju, gru=bcju, hru=acju, iru=gjk, jru=abgjk, su=gjk, gtu=gjk, itu=ac³, u²=ac³, b²v=v, c³v=bc³, dv=abcv, ev=abv, c²gv=abgjk, g³v=abgjk, cghv=bgjk, g²hv=abc³, h²v=achv, civ=bcgv, giv=bg²v, cjv=abc²v, g²jv=ac³, hjv=ac³, ijv=bgjv, j²v=c²v, gkv=g²v, hkv=bhiv, clv=ac²v, ilv=hir, klv=bhir, mv=iv, gnv=abgnu, hnv=ac³, inv=agnu, ov=biv, pv=lv, cqv=bckv, gqv=bg²v, hqv=hiv, iqv=bikv, rv=bk²v, csv=ckv, hsv=bhiv, isv=ikv, jsv=jkv, ksv=k²v, lsv=bhir, nsv=knv, itv=bgtv, cuv=gjk, guv=bgjk, huv=agjk, iuv=abc³, juv=abgjk, luv=agjk, nuv=c³, tuv=agjk, v²=ac³, b²w=w, c³w=abc³, c²dw=c³, c²ew=abc²w, cdghw=cdgs, ceghw=c²eu, egh²w=g²hw, c²iw=abc³, d²iw=abcdgu, g²iw=abc³, chiw=bciu, dhiw=bdiu, ghiw=abgjk, i²w=bc³, c²jw=abk²v, cgjw=acju, g²jw=abcju, ijw=bcju, j²w=abchjw, ckw=abcju, gkw=bgtv, hkw=bcju, ikw=c³, jkw=gjk, k²w=bc³, clw=k²v, glw=abhir, ilw=gjk, klw=ac³, cmw=abckr, gmw=ackr, jmw=bgjk, gnw=anu, inw=gnu, knw=abc³, mnw=ac³, ow=bmw, gpw=gnu, hpw=agjk, qw=bkw, rw=nw, sw=bcju, tw=abcjw, uw=gjk, cvw=ckr, gvw=bckr, hvw=abcju, ivw=ac³, jvw=agjk, kvw=abc³, lvw=c³, nvw=bc³, w²=ac³>

P = {a, b², bc, c², ac³, ad, abcd, bc²d, d², acd², abe, ace, abc²e, abc²g, cdg, ac²dg, c²eg, g², abg³, h, ach, bdh, abcdh, abeh, bceh, abgh, bcgh, adgh, cdgh, egh, acegh, g²h, h², abeh², abgh², egh², abi, ac²i, bcdi, ad²i, cd²i, ei, ag²i, chi, abdhi, abcehi, bghi, i², aj, cj, bc²j, bgj, ac²gj, ahj, abchj, j², abgj², gk, abhk, bik, k², l, acl, abgl, ail, abkl, bgm, bn, bg²n, bhn, akn, ao, p, abgp, hp, abq, gq, abhq, ar, cr, bgr, ag²r, ahr, chr, bghr, ah²r, jr, bs, cds, aes, acgs, dgs, adhs, ghs, abeghs, t, abgt, ait, abkt, amt, 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, chv, jv, ikv, abjkv, bk²v, alv, bglv, nv, abknv, btv, aktv, aw, abc²w, cdw, abd²w, bcd²w, bew, bgw, c²gw, aegw, g³w, ahw, cdhw, behw, bghw, dghw, aeghw, iw, acdiw, abeiw, hiw, abehiw, abjw, gjw, abhjw, bkw, mw, abnw, abhnw}

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

Monoid Structure