Details Page for 0.3162

Complete Solution is Known:

MSV File: q-0.3162.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀(0.3162):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b⁵=b³, b²c=c, c³=c², c²d=bc², b³d²=b⁴d, cd²=bcd, d³=d, b³e=ab⁴, ce=abc, be²=ab²e, e⁴=b⁴, b³f=bf, c²f=ac², bd²f=b²df, bef=ab²f, e²f=b²f, f²=b⁴, c²g=abc², b³dg=cdf, cdg=ac², b²fg=fg, dfg=bcd, efg=abfg, b³g²=cfg, cg²=c², b²eg²=acfg, fg²=bcg, b²g³=abc², d²g³=g³, beg³=ad²e³g², e³g³=ade³g², g⁴=adg³, b³h=b⁴d, ch=bcd, d²h=h, e²h=abeh, fh=adef, beg²h=ab²g²h, g³h=bdg³, h²=bdh, b⁴i=b²i, b²d²i=b³di, bei=ab²i, e³i=ab³i, b²fi=fi, d²fi=bdfi, efi=abfi, b²dgi=bcdfi, b²g²i=bcfgi, g³i=adg²i, bhi=b²di, ehi=ab²di, g²hi=bdg²i, b³i²=bi², c²i²=c², bd²i²=b²di², e²i²=b²i², bdgi²=cdfi², bg²i²=cfgi², deg²i²=de³g², hi²=bdi², ei³=abi³, dg²i³=de²g²i, i⁴=c², c²j=ac²i, de³g²j=d²e²g²i, de²ij=bd²ij, bdg²ij=de³g², bg³j²=de²g³, eg³j²=eg³, deg²ij²=deg²i, dg²i²j²=dg²i², b²dg²j³=b²dg²j, deg²j³=deg²j, bg²hj³=bg²hj, eg²hj³=eg²hj, dg²ij³=dg²ij, bj⁴=bj², cj⁴=cj², ej⁴=ej², fj⁴=fj², dgj⁴=dgj², g²j⁴=g²j², hj⁴=hj², j⁵=j³>

P = {a, b², b⁴, c, c², ad, b³d, bcd, ad², b²d², abe, ab²de, abd²e, e², d²e², ade³, af, ab²f, acf, abdf, abcdf, ad²f, def, bg, ab³g, abcg, dg, ab²dg, bd²g, aeg, b²eg, ad²eg, b²d²eg, e³g, d²e³g, bfg, bcfg, ag², b²g², abdg², ad²g², b²d²g², deg², ae²g², ad²e²g², bg³, dg³, aeg³, de²g³, b²h, bdh, abeh, adeh, ab²deh, abgh, dgh, ab²dgh, b²egh, bdegh, ag²h, b²g²h, bdg²h, di, bdgi, adegi, abg²i, abd²g²i, de²g²i, ghi, i², b²i², ci², bdi², bcdi², d²i², adei², afi², acfi², abdfi², abcdfi², abgi², abcgi², egi², d²egi², bfgi², bcfgi², g²i², d²g²i², abj, adj, abd²j, ej, bdej, d²ej, ade²j, gj, d²gj, abegj, abd²egj, e²gj, d²e²gj, ade³gj, adg²j, eg²j, bdeg²j, d²eg²j, ade²g²j, e³g²j, g³j, adeg³j, e²g³j, adhj, ehj, adeghj, eg²hj, bij, b³ij, acij, dij, b²dij, abcdij, bd²ij, aeij, ad²eij, bfij, dfij, bcgij, adgij, afgij, dhij, adi²j, adegi²j, eg²i²j, ai³j, ab²i³j, aci³j, abdi³j, abcdi³j, ad²i³j, fi³j, cfi³j, bdfi³j, bcdfi³j, bgi³j, bcgi³j, abfgi³j, abcfgi³j, aj², b²j², b⁴j², cj², adj², b³dj², bcdj², ad²j², b²d²j², bdej², ae²j², ade²j², ad²e²j², afj², ab²fj², acfj², abdfj², abcdfj², ad²fj², bgj², ab³gj², abcgj², dgj², ab²dgj², bd²gj², aegj², b²egj², ad²egj², b²d²egj², de²gj², bfgj², bcfgj², ag²j², b²g²j², abdg²j², ad²g²j², b²d²g²j², deg²j², ae²g²j², ad²e²g²j², dg³j², abhj², abdhj², ehj², dehj², ab²dehj², bghj², dghj², b²dghj², aeghj², abdeghj², ag²hj², abdgij², bg²ij², i²j², b²i²j², ci²j², bdi²j², bcdi²j², d²i²j², afi²j², acfi²j², abdfi²j², abcdfi²j², abgi²j², abcgi²j², adgi²j², bfgi²j², bcfgi²j², g²i²j², di³j², agi³j², ad²gi³j², abj³, adj³, abd²j³, ej³, bdej³, d²ej³, ade²j³, e³j³, d²e³j³, gj³, bdgj³, d²gj³, abegj³, adegj³, abd²egj³, e²gj³, d²e²gj³, ade³gj³, abg²j³, adg²j³, abd²g²j³, eg²j³, e³g²j³, g³j³, abhj³, adhj³, ab²dhj³, ehj³, b²ehj³, bdehj³, ghj³, b²ghj³, bdghj³, abeghj³, adeghj³, adg²hj³, bij³, b³ij³, acij³, dij³, b²dij³, abcdij³, bd²ij³, aeij³, ad²eij³, bfij³, dfij³, bcgij³, afgij³, dhij³, ei²j³, d²ei²j³, adegi²j³, eg²i²j³, bi³j³, aci³j³, di³j³, b²di³j³, abcdi³j³, bfi³j³, dfi³j³, bcgi³j³, afgi³j³, aj⁴, adj⁴, ad²j⁴, i²j⁴, d²i²j⁴}

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

Monoid Structure