Details Page for 0.0104

Complete Solution is Known:

MSV File: q-0.0104.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₃(0.0104):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², b²c³=b²c, bc⁵=bc³, c⁶=c⁴, b²d=ab², bc³d=abc³, c⁴d=ac⁴, d³=ad², b²e=b³, bde=abe, c²de=ac²e, be³=be, e⁴=e², b²cf=ab²c, bc³f=ab³c, bdf=ab³f, c²d²f=ac²df, bef=b²f, e³f=ef, bf²=b³c², c³f²=c³df, df²=af², f³=af², b²g=b³c, bcg=b²c², c³g=bc², bd²g=b²c, beg=b³c, e³g=eg, bfg=ab²c, c²dfg=b³c, c²efg=ab²c, f²g=b³c, cg²=bg, d²e²g²=d²g², fg²=ab²c², bg³=bg, g⁴=g², b²h=ab³, bc²d²h=bc⁴h, c³d²h=c⁵h, beh=ab³, c⁵eh=c³eh, cdeh=aceh, c²e²h=abc²e², de²h=ae²h, c⁴fh=b³c², c²dfh=ab³c², d²fh=adfh, efh=ab²f, f²h=ab³c², c²dgh=bcdh, cegh=ab³c², degh=aegh, e²g²h=d²g²h, d²g³h=e²gh, eg³h=egh, bh²=b³, c³h²=ch², dh²=ah², eh²=b³, fh²=b²f, gh²=b³c, h³=ab³, b²i=b², bc⁴i=bc²i, c⁵i=c³i, bcdi=abci, c²di=ac²i, d²i=adi, dei=aei, bfi=b³f, c³fi=ab²c, dfi=afi, bgi=abdg, c²fgi=ab³c, e²g²i=adg²i, c⁴ehi=c²ehi, ce²hi=abce²i, fhi=adfh, c²ghi=bchi, dg³hi=ae²ghi, h²i=b², bi²=b³, c²i²=b²c², di²=ai², e³i²=ei², efi²=b³f, f²i²=b²c², egi²=aefgi, g²i²=b²c², ehi²=ab², ei³=b³, fi³=fi², hi³=hi², i⁴=i³, cdej=acej, d²fj=adfj, defj=aefj, bgj=b²cj, dg²j=ag²j, e²g²j=g²j, d²ehj=adehj, g³hj=e²ghj, dij=aij, b²j²=b², bcj²=bc, c³j²=c³, bd²j²=bd², bej²=be, dej²=aej², bfj²=bf, c²fgj²=c²fg, g²j²=d²g², c²hj²=c²h, d²hj²=d²h, ehj²=d²eh, dfhj²=dfh, fghj²=fgh, h²j²=h², bij²=abdi, hij²=adhi, fi²j²=fi², i³j²=i³, bdj³=bdj, c²gj³=c²gj, cdgj³=cdgj, d²gj³=d²gj, egj³=d²egj, fgj³=fgj, dhj³=dhj, fhj³=fhj, gij³=gij, i²j³=i²j, bj⁴=bj², gj⁴=gj², hj⁴=hj², c²fj⁶=c²f, cf²j⁶=cf², c²j⁷=c²j, cdj⁷=cdj, d²j⁷=d²j, ej⁷=d²ej, fj⁷=fj, ij⁷=ij, j⁸=j², b²k=b², bc³k=bck, bdk=abk, c³dk=ac³k, cd²k=acdk, bek=b², cdek=acek, de²k=ae²k, bfk=b³f, cdfk=acfk, d²fk=adfk, c³efk=ac³e³k, defk=aefk, bgk=b²c, cdgk=abc²k, d²gk=bck, egk=b²c, fgk=ab³c, g²k=b²c², bchk=bc³hi, c⁵hk=c³hk, cdhk=ac³hk, cehk=bc³h, e²hk=ab³, cfhk=b³c, dfhk=b³f, h²k=abhk, bik=b³, dik=aik, c³eik=bck, gik=b³c, c³hik=chik, ehik=bhk, i²k=b², d²jk=adjk, dfjk=afjk, dgjk=abcjk, fhjk=ab³fj, bj²k=bk, cgj²k=cgk, chj²k=chk, dhj²k=ad²hk, gj³k=gjk, cj⁶k=ck, dj⁷k=djk, bk²=b³, c³k²=ck², cdk²=ack², ek²=bk, fk²=b²f, gk²=b³c, hk²=hik, j²k²=d²k², ik³=ik², k⁴=k³>

P = {a, b², c², b²c², c⁴, ac²d, d², c²d², ae, bce, ac³e, bc⁴e, de, ae², c²e², c⁴e², d²e², ae³, ac³e³, de³, abf, ab³f, ac²f, ac⁴f, c²df, ad²ef, ac²e²f, ac⁴e²f, f², c²f², e²f², c²e²f², dg, d²eg, de²g, efg, adefg, acd²efg, g², d²g², e²g², dg³, de²g³, bh, bc²h, abc⁴h, acdh, ac³dh, abd²h, ceh, ac⁴eh, ce³h, afh, ac³fh, cdfh, cgh, abdgh, acd²gh, abg²h, aeg²h, h², c²h², ci, c³i, acdi, bei, ac²ei, bc³ei, ce²i, c³e²i, ac²e³i, ac²fi, aefi, ac²e²fi, f²i, c²f²i, e²f²i, c²e²f²i, acefgi, g²i, adg²i, abc³hi, bdhi, ac³ehi, cdghi, eghi, i², e²i², acghi², i³, ab²j, ad²j, abcej, ad²e²j, bfj, b³fj, efj, aegj, c²egj, ad²egj, abdhj, bd²hj, acehj, ace³hj, cfhj, acdghj, cd²ghj, c²fghj, ah²j, acij, ac³ij, abeij, abc³eij, ace²ij, ac³e²ij, efij, c²egij, bhij, bc³hij, c³ehij, cghij, ai²j, ae²i²j, cghi²j, ai³j, j², c²j², adj², ac²dj², d²j², c²d²j², e²j², c²e²j², ac²fj², c²dfj², aefj², ac²e²fj², f²j², c²f²j², e²f²j², c²e²f²j², egj², acefgj², abhj², bdhj², acfhj², acghj², cdghj², cij², ce²ij², ac²fij², aefij², ac²e²fij², f²ij², c²f²ij², e²f²ij², c²e²f²ij², ac²egij², i²j², e²i²j², aj³, dj³, ad²j³, ae²j³, efj³, bhj³, cghj³, acij³, ace²ij³, efij³, j⁴, c²j⁴, adj⁴, ac²dj⁴, d²j⁴, c²d²j⁴, e²j⁴, c²e²j⁴, ac²fj⁴, c²dfj⁴, aefj⁴, ac²e²fj⁴, f²j⁴, c²f²j⁴, e²f²j⁴, c²e²f²j⁴, cij⁴, ce²ij⁴, ac²fij⁴, aefij⁴, ac²e²fij⁴, f²ij⁴, c²f²ij⁴, e²f²ij⁴, c²e²f²ij⁴, aj⁵, dj⁵, ad²j⁵, ae²j⁵, efj⁵, acij⁵, ace²ij⁵, efij⁵, j⁶, c²j⁶, adj⁶, ac²dj⁶, d²j⁶, c²d²j⁶, e²j⁶, c²e²j⁶, aefj⁶, f²j⁶, e²f²j⁶, cij⁶, ce²ij⁶, aefij⁶, f²ij⁶, e²f²ij⁶, aj⁷, dj⁷, ak, c²k, c⁴k, ac²dk, d²k, ce²k, ac³e²k, c⁵e²k, ac²fk, ac⁴fk, aefk, f²k, c²f²k, e²f²k, ehk, ad²ehk, aghk, ac²ghk, cik, c³ik, e²ik, ac²fik, aefik, f²ik, c²f²ik, e²f²ik, djk, ace²jk, efjk, ce²f²jk, adehjk, ghjk, acijk, ac³ijk, ae²ijk, ac²e²ijk, efijk, c²e²fijk, ac²e²f²ijk, j²k, c²j²k, adj²k, ac²dj²k, ce²j²k, ac²fj²k, aefj²k, f²j²k, c²f²j²k, aghj²k, cij²k, e²ij²k, ac²fij²k, aefij²k, f²ij²k, c²f²ij²k, e²f²ij²k, aj³k, dj³k, ace²j³k, efj³k, ae²f²j³k, acij³k, ae²ij³k, ac²e²ij³k, efij³k, c²e²fij³k, ace²f²ij³k, j⁴k, c²j⁴k, adj⁴k, ac²dj⁴k, ce²j⁴k, ac²fj⁴k, aefj⁴k, f²j⁴k, c²f²j⁴k, ce²f²j⁴k, cij⁴k, e²ij⁴k, ac²fij⁴k, aefij⁴k, f²ij⁴k, c²f²ij⁴k, aj⁵k, dj⁵k, ace²j⁵k, efj⁵k, acij⁵k, ae²ij⁵k, ac²e²ij⁵k, efij⁵k, c²e²fij⁵k, ae²f²ij⁵k, ac²e²f²ij⁵k, j⁶k, adj⁶k, aefj⁶k, f²j⁶k, e²f²j⁶k, e²ij⁶k, aefij⁶k, f²ij⁶k, aj⁷k, ak², c²k², d²k², cik², djk², acijk², ak³, c²k³, d²k³, djk³}

Phi = 1 1 a 1 1 1 a 1 a b b b a b ab c c 1 a 1 ac 1 d e f b g b h b ab i j k

Monoid Structure