Details Page for 0.0344

Complete Solution is Known:

MSV File: q-0.0344.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₀(0.0344):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b⁴=b², b²c²=b², c⁴=c², b²d=ab², d³=d, b²e=b³c, ce=bc², bde=ab²c, de²=ab², be³=b²c, e⁵=e³, bf=b²c, cf=bc², df=de, ef=b², f²=b², bg=b², eg=be, fg=b²c, g²=b², bh=ab², dh=abd, eh=abe, fh=ab²c, gh=ab², h²=b², b²i=b²c, c³i=ci, di=ai, ei=bci, fi=bci, c²gi=gi, hi=abi, i²=b², bj=ab³, c³j=cj, dj=ac²j, e³j=ej, fj=ab³c, gj=ab³, hj=b³, c²ij=ij, j²=b², b²k=ab²c, ck=ac², dk=acd, ek=abc², fk=abc², gk=acg, hk=ach, ik=aci, jk=acj, k²=c², bl=b²c, c³l=cl, el=b², fl=b², gl=b²c, hl=ab²c, il=cgi, jl=ab³c, kl=acl, l²=b², bm=ab²c, cm=abc², em=e²j, fm=ab², gm=ab²c, hm=b²c, im=abci, jm=b³c, km=bc², lm=ab², m²=b², ben=b²cn, e²n=b²n, fn=en, c²jn=jn, ejn=ab³cn, b²n²=b², bc²d²n²=abc²dn², d²en²=aden², gin²=gi, jn²=c²j, cd²ln²=acdln², bc²dn³=ab³n, bin³=aden³, bcdn⁴=ab³c, c³dn⁴=cdn⁴, bd²n⁴=abdn⁴, en⁴=bcn⁴, c²gn⁴=gn⁴, c³hn⁴=chn⁴, c²in⁴=in⁴, kn⁴=ac³n⁴, c²ln⁴=ln⁴, d²ln⁴=adln⁴, mn⁴=abc³n⁴, bdn⁵=ab³n, c²dn⁵=dn⁵, c²hn⁵=hn⁵, dln⁵=c²dln³, dn⁶=c²dn⁴, in⁶=in⁴, hn⁸=abc²n⁶, ln⁸=ln⁶, bc²n⁹=b³n, bn¹⁰=be², c³n¹⁰=cn¹⁰, gn¹⁰=d²gn⁴, c²n¹¹=n¹¹, n¹³=n¹¹, bo=ab³c, co=cij, d²o=ado, eo=ab³, fo=ab³, go=ab³c, ho=b³c, io=ab², jo=b²c, ko=acij, lo=ab³, mo=b³, dn³o=aijn, n⁹o=ijn, o²=b², b²p=b³, e³p=b²c, gip=aij, jp=ab³, p²=b²>

P = {a, b², c², ad, ac²d, d², c²d², ae, ae², ae³, ae⁴, ci, acj, cjn, ijn, n², c²n², adn², ac²dn², d²n², c²d²n², cin², n⁴, c²n⁴, adn⁴, ac²dn⁴, d²n⁴, c²d²n⁴, cin⁴, n⁶, c²n⁶, n⁸, c²n⁸, n¹⁰, c²n¹⁰, n¹², no, adno, n³o, n⁵o, n⁷o, ap, ac²p, dp, c²dp, ad²p, ac²d²p, ae²p, acip, bcnp, bc³np, bcdnp, bc³dnp, bcd²np, bc³d²np, enp, denp, d²enp, cgnp, c³gnp, cdgnp, c³dgnp, cd²gnp, c³d²gnp, achnp, ac³hnp, abinp, abc²inp, abknp, lnp, c²lnp, dlnp, c²dlnp, d²lnp, c²d²lnp, amnp, admnp, ad²mnp, an³p, bcn³p, ac³n³p, dn³p, bcdn³p, c³dn³p, ad²n³p, bcd²n³p, ac³d²n³p, aen³p, den³p, cgn³p, ac³gn³p, cdgn³p, c³dgn³p, cd²gn³p, ac³d²gn³p, achn³p, ac²in³p, abkn³p, ln³p, dln³p, d²ln³p, admn³p, bc²n⁴p, ac²hn⁴p, cln⁴p, acdln⁴p, cgn⁵p, cdgn⁵p, cd²gn⁵p, an⁶p, ac²n⁶p, abcn⁷p, abc³n⁷p, acgn⁷p, chn⁷p, aln⁷p, an⁹p, abcn⁹p, ac³n⁹p, acgn⁹p, an²op, dn²op, an⁶op, an⁸op}

Phi = 1 1 a a 1 b b ab ab c c ac a d e f g b h ab i c j k l bc abc m n o p

Monoid Structure