Details Page for 0.3054

Complete Solution is Known:

MSV File: q-0.3054.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₆(0.3054):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, b²c=c, c⁵=c³, c³d=c⁴, c²d³=c²d, d⁶=d², c³e=bc⁴, c²d²e=c²e, c²e²=c⁴, b²de²=de², b²e³=e³, ce⁴=c³, d⁴e⁴=d²e⁴, e⁵=bc³, c³f=abc⁴, cdf=abc²d, cef=abc²e, b²e²f=e²f, e⁴f=abc³, cf²=abc²f, df²=bc²e, ef²=bc³, f³=abc³, cg=acf, beg=abef, e²g=ae²f, fg=af², g²=f², c³h=ac⁴, b²e²h=e²h, b²f²h=f²h, egh=ab²efh, c²h²=c², cd⁴h²=cd²h², cd²e²h²=c²d, d⁴e³h²=d²e³h², e⁴h²=e⁴, cfh²=cf, b²efh²=efh², e³fh²=abce³h², f²h²=b²f², b²gh²=gh², b²h³=h³, h⁴=b²h², b²e²i=e²i, b²f²i=f²i, b²h²i=h²i, c²i²=c², e⁴i²=e⁴, cfi²=cf, f²i²=b²f², egi²=aefi², b²hi²=hi², ch²i²=ch², efh²i²=efh², gh²i²=gh², b²i³=i³, d²e³fi³=d⁴e³fi, e²h²i³=e²h²i, ci⁴=c, fh²i⁴=b²fh², e³fi⁵=e³fi, e³hi⁵=e³hi, h²i⁵=h²i, i⁶=b²i²>

P = {a, b², c², c⁴, ad, bcd, ad², b²d², c²d², ad³, bcd³, ad⁴, b²d⁴, ad⁵, bcd⁵, abce, de, ab²de, bc²de, d³e, ab²d³e, d⁵e, ab²d⁵e, ae², b²e², cde², bd²e², cd³e², bd⁴e², cd⁵e², bce³, bcd²e³, bcd⁴e³, e⁴, d²e⁴, bcf, adf, b²df, ad³f, b²d³f, ad⁵f, b²d⁵f, ef, ab²ef, ab²d²ef, ab²d⁴ef, abde²f, abd³e²f, abd⁵e²f, ae³f, ad²e³f, ad⁴e³f, af², b²f², dg, ab²dg, d³g, ab²d³g, d⁵g, ab²d⁵g, aeg, bcdh, bcd³h, bcd⁵h, abceh, adeh, ab²deh, cd²eh, ad⁴eh, abcd⁴eh, ad⁵eh, ab²d⁵eh, bd²e²h, abe³h, abcde³h, d³e³h, d⁵e³h, ade⁴h, bcfh, dfh, b²dfh, d³fh, b²d³fh, d⁵fh, b²d⁵fh, be²fh, bd⁴e²fh, de³fh, adgh, ab²dgh, ad³gh, ab²d³gh, ad⁵gh, ab²d⁵gh, h², b²h², bcdh², d²h², b²d²h², bcd³h², ad⁴h², b²d⁴h², abceh², adeh², ab²deh², d³eh², ab²d³eh², ad⁵eh², ab²d⁵eh², e²h², cde²h², bd²e²h², d⁴e²h², bce³h², dfh², b²dfh², b²d³fh², d⁵fh², b²d⁵fh², aefh², ad²efh², ad⁴efh², abde²fh², abd³e²fh², abd⁵e²fh², adgh², ad³gh², ad⁵gh², bcdh³, bcd³h³, abceh³, adeh³, cd²eh³, bd²e²h³, abe³h³, abcde³h³, d³e³h³, dfh³, d³fh³, d⁵fh³, be²fh³, bd⁴e²fh³, adgh³, ad³gh³, ad⁵gh³, abcdi, abcd³i, abcd⁵i, dei, b²dei, acd²ei, ad³ei, ab²d³ei, cd⁴ei, d⁵ei, b²d⁵ei, abd²e²i, bd⁴e²i, de³i, ad³e³i, ad⁵e³i, adfi, ab²dfi, ad⁵fi, ab²d⁵fi, dgi, b²dgi, d³gi, b²d³gi, d⁵gi, b²d⁵gi, ahi, ab²hi, ac²hi, abcdhi, ad²hi, ab²d²hi, ac²d²hi, abcd³hi, d⁴hi, ab²d⁴hi, abcd⁵hi, bcehi, dehi, b²dehi, ad³ehi, d⁵ehi, b²d⁵ehi, abd²e²hi, acd³e²hi, acd⁵e²hi, d⁴e³hi, bd³e⁴hi, abcfhi, adfhi, ab²dfhi, d³fhi, ab²d³fhi, ad⁵fhi, ab²d⁵fhi, b²d²efhi, bd³e²fhi, bd⁵e²fhi, dghi, b²dghi, b²d³ghi, d⁵ghi, b²d⁵ghi, abcdh²i, abcd³h²i, deh²i, acd²eh²i, ad³eh²i, abd²e²h²i, de³h²i, ad³e³h²i, adfh²i, ad⁵fh²i, dgh²i, d³gh²i, d⁵gh²i, ah³i, abcdh³i, ad²h³i, abcd³h³i, ad⁴h³i, bceh³i, deh³i, d⁵eh³i, abd²e²h³i, ad⁴e²h³i, adfh³i, ad³fh³i, ad⁵fh³i, d²efh³i, bd³e²fh³i, bd⁵e²fh³i, dgh³i, d³gh³i, d⁵gh³i, i², b²i², bcdi², d²i², b²d²i², bcd³i², ad⁴i², b²d⁴i², bcd⁵i², abcei², adei², ab²dei², d³ei², ab²d³ei², ad⁵ei², ab²d⁵ei², e²i², cde²i², bd²e²i², cd³e²i², bd⁴e²i², cd⁵e²i², bce³i², bcd²e³i², bcd⁴e³i², dfi², b²dfi², ad³fi², b²d³fi², d⁵fi², b²d⁵fi², aefi², ab²efi², ab²d²efi², ad⁴efi², ab²d⁴efi², abde²fi², abd³e²fi², abd⁵e²fi², ae³fi², ad²e³fi², ad⁴e³fi², adgi², ab²dgi², d³gi², ab²d³gi², ad⁵gi², ab²d⁵gi², bcdhi², bcd³hi², bcd⁵hi², abcehi², adehi², cd²ehi², cd⁴ehi², bd²e²hi², abe³hi², abcde³hi², abcd³e³hi², abd⁵e³hi², dfhi², d³fhi², d⁵fhi², be²fhi², bd⁴e²fhi², de³fhi², d³e³fhi², adghi², ad³ghi², ad⁵ghi², h²i², d²h²i², d⁴h²i², adeh²i², ad³eh²i², ad⁵eh²i², e²h²i², bd²e²h²i², d⁴e²h²i², dfh²i², d³fh²i², d⁵fh²i², adeh³i², bd²e²h³i², abe³h³i², abd³e³h³i², dfh³i², d³fh³i², d⁵fh³i², abcdi³, abcd³i³, abcd⁵i³, dei³, acd²ei³, ad³ei³, acd⁴ei³, ad⁵ei³, abd²e²i³, bd⁴e²i³, de³i³, d³e³i³, d⁵e³i³, adfi³, dgi³, d³gi³, d⁵gi³, ahi³, abcdhi³, ad²hi³, abcd³hi³, ad⁴hi³, abcd⁵hi³, bcehi³, dehi³, abd²e²hi³, bcd⁴e²hi³, cd⁵e³hi³, adfhi³, ad³fhi³, ad⁵fhi³, d²efhi³, bd⁵e²fhi³, dghi³, d³ghi³, d⁵ghi³, deh²i³, ad³eh²i³, ad⁵eh²i³, adfh²i³, ah³i³, ad²h³i³, ad⁴h³i³, deh³i³, adfh³i³, ad³fh³i³, ad⁵fh³i³, i⁴, d²i⁴, d⁴i⁴, adei⁴, ad³ei⁴, ad⁵ei⁴, e²i⁴, bd²e²i⁴, bd⁴e²i⁴, dfi⁴, d³fi⁴, d⁵fi⁴, aefi⁴, ad²efi⁴, ad⁴efi⁴, abde²fi⁴, abd³e²fi⁴, abd⁵e²fi⁴, ae³fi⁴, adgi⁴, ad³gi⁴, ad⁵gi⁴, adehi⁴, bd²e²hi⁴, abe³hi⁴, abd³e³hi⁴, dfhi⁴, d³fhi⁴, d⁵fhi⁴, be²fhi⁴, bd⁴e²fhi⁴, de³fhi⁴, adghi⁴, ad³ghi⁴, ad⁵ghi⁴, h²i⁴, d²h²i⁴, d⁴h²i⁴, adeh²i⁴, ad³eh²i⁴, ad⁵eh²i⁴, adeh³i⁴, dei⁵, ad³ei⁵, d⁵ei⁵, abd²e²i⁵, bd⁴e²i⁵, de³i⁵, d³e³i⁵, d⁵e³i⁵, adfi⁵, ad⁵fi⁵, dgi⁵, d³gi⁵, d⁵gi⁵, ahi⁵, ad²hi⁵, ad⁴hi⁵, dehi⁵, d⁵ehi⁵, abd²e²hi⁵, adfhi⁵, ad³fhi⁵, ad⁵fhi⁵, d²efhi⁵, bd³e²fhi⁵, dghi⁵, d³ghi⁵, d⁵ghi⁵}

Phi = 1 a 1 a 1 a b ab b ab b c ac c a d e f g b ab b ab b ab² h i

Monoid Structure