Details Page for 0.3633

Complete Solution is Known:

MSV File: q-0.3633.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₇(0.3633):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b⁵=b³, b⁴c²=b²c², b²c³=c³, c⁴=b²c², b²cd=cd, c²d=ac³, cd³=cd, d⁴=d², b³e=b⁴, b²c²e=b³c², c³e=bc³, cde=bcd, be²=b, c²e²=c², e³=e, b³f=ab⁴, b²c²f=ab³c², c³f=abc³, cdf=abcd, e²f=f, bf²=b, f³=f, b³g=b⁴d, b²c²g=abc³, c³g=ab³c², bdg=b²d², cdg=bcd², d²g=bd³, e²g=g, df²g=dg, b²cg⁴=b²cg², c²g⁴=c²f²g², b²g⁵=b²g³, bcg⁵=bcg³, dg⁵=dg³, cfg⁵=cfg³, g⁶=g⁴, b³h=ab³, bch=ab²ce, c²h=ab²c², cdh=acd, b²gh=ab³d, dgh=bd²h, bg²h=ab²eg², g⁵h=g³h, bdh²=bd, d²h²=d², ceh²=b³c, cfh²=ab³c, gh²=bd, b²h³=b²h, ch³=ach², dh³=dh, h⁴=h², b²c²i=c³, c³i=b²c², de²i=di, cdi²=ab²c², d²i²=b²c², dgi²=bc²i², b²g²i³=ab²cegi³, bcg²i³=b²eg²i², cf²g⁴i³=cg⁴i³, cg⁵i³=cf²g³i³, cg²hi³=bc²gi³, f²g³hi³=g³hi³, c²i⁴=b²c², g³i⁴=aceg²i⁴, g²hi⁴=aceghi⁴, dh²i⁴=di⁴, cg²i⁵=ceghi⁴, b³i⁶=b³i², di⁶=dh²i², b²hi⁶=b²hi², h²i⁶=h²i², b²i⁷=b²i³, bhi⁷=bhi³, cghi⁷=ceg²i⁴, i⁸=i⁴>

P = {a, b², b⁴, c², b²c², ad, bcd, ad², b²d², b⁴d², ad³, be, bc²e, bd²e, e², d²e², abf, abc²f, abd²f, aef, ab²ef, ac²ef, ad²ef, ab²d²ef, f², c²f², d²f², cg, b²cg, bceg, deg, abcfg, adfg, acefg, ab²cefg, cf²g, g², b²g², c²g², beg², bc²eg², abfg², abc²fg², aefg², ab²efg², ac²efg², f²g², c²f²g², cg³, b²cg³, bceg³, deg³, abcfg³, adfg³, acefg³, ab²cefg³, cf²g³, g⁴, b²g⁴, beg⁴, abfg⁴, aefg⁴, ab²efg⁴, f²g⁴, cg⁵, h, ab²h, dh, d²h, ab²d²h, d³h, abeh, abd²eh, ae²h, ad²e²h, bfh, bd²fh, efh, b²efh, d²efh, b²d²efh, af²h, ad²f²h, acgh, cefgh, acf²gh, ag²h, efg²h, af²g²h, acg³h, cefg³h, acf²g³h, ag⁴h, efg⁴h, af²g⁴h, ah², b²h², adh², beh², e²h², abfh², aefh², ab²efh², f²h², h³, abeh³, ae²h³, bfh³, efh³, af²h³, ai, bci, b³ci, adi, b²di, b⁴di, bcd²i, ad³i, b²d³i, b⁴d³i, cei, b²cei, adei, ad³ei, acfi, ab²cfi, bdfi, bd³fi, abcefi, bdefi, bd³efi, df²i, d³f²i, cef²i, bgi, abc²gi, b²egi, ac²egi, fgi, ab²fgi, c²fgi, efgi, bc²efgi, ac²ef²gi, bcg²i, dg²i, ceg²i, b²ceg²i, acfg²i, ab²cfg²i, abcefg²i, cef²g²i, bg³i, abc²g³i, eg³i, b²eg³i, ac²eg³i, afg³i, ab²fg³i, c²fg³i, abefg³i, bc²efg³i, ef²g³i, ac²ef²g³i, bcg⁴i, dg⁴i, ceg⁴i, acfg⁴i, abcefg⁴i, adefg⁴i, cef²g⁴i, bg⁵i, eg⁵i, afg⁵i, abefg⁵i, ef²g⁵i, hi, ab²dhi, ab²d³hi, acehi, abdehi, abd³ehi, cfhi, defhi, b²defhi, d³efhi, b²d³efhi, adf²hi, ad³f²hi, acef²hi, abghi, aeghi, befghi, aef²ghi, aceg²hi, cfg²hi, acef²g²hi, aeg³hi, fg³hi, aef²g³hi, aceg⁴hi, cfg⁴hi, acef²g⁴hi, ah²i, adh²i, adeh²i, df²h²i, h³i, ai², b²i², b⁴i², c²i², aei², bc²ei², ae²i², bfi², abc²fi², befi², ac²efi², f²i², c²f²i², abcgi², acegi², ab²cegi², afgi², ab²fgi², bcefgi², acef²gi², g²i², b²g²i², c²g²i², beg²i², bc²eg²i², abfg²i², abc²fg²i², ac²efg²i², f²g²i², c²f²g²i², abcg³i², aceg³i², ab²ceg³i², afg³i², ab²fg³i², bcefg³i², acef²g³i², g⁴i², b²g⁴i², beg⁴i², abfg⁴i², f²g⁴i², aceg⁵i², afg⁵i², ab²hi², abehi², efhi², b²efhi², af²hi², aeghi², acfghi², befghi², cef²ghi², efg²hi², af²g²hi², aeg³hi², acfg³hi², cef²g³hi², efg⁴hi², af²g⁴hi², ah²i², b²h²i², beh²i², e²h²i², abfh²i², aefh²i², ab²efh²i², f²h²i², h³i², abeh³i², ae²h³i², bfh³i², efh³i², af²h³i², ci³, b²ci³, b⁴ci³, adi³, ab²di³, ab⁴di³, bcei³, abdei³, ce²i³, abcfi³, bdfi³, acefi³, ab²cefi³, defi³, b²defi³, cf²i³, adf²i³, abgi³, abc²gi³, ab²egi³, ac²egi³, fgi³, b²fgi³, c²fgi³, bc²efgi³, aef²gi³, ac²ef²gi³, ag²i³, bfg²i³, acefg²i³, cf²g²i³, abg³i³, ceg³i³, fg³i³, c²fg³i³, aef²g³i³, ac²ef²g³i³, ag⁴i³, bfg⁴i³, cefg⁴i³, abg⁵i³, fg⁵i³, aef²g⁵i³, hi³, dhi³, b²dhi³, bdehi³, ace²hi³, abdfhi³, cefhi³, adefhi³, ab²defhi³, acf²hi³, df²hi³, bghi³, eghi³, afghi³, abefghi³, ef²ghi³, eg³hi³, afg³hi³, ah²i³, adh²i³, defh²i³, adf²h²i³, h³i³, ai⁴, b²i⁴, b⁴i⁴, bei⁴, e²i⁴, abfi⁴, aefi⁴, ab²efi⁴, f²i⁴, abcgi⁴, acegi⁴, ab²cegi⁴, cfgi⁴, b²cfgi⁴, bcefgi⁴, acef²gi⁴, g²i⁴, beg²i⁴, abfg²i⁴, aefg²i⁴, f²g²i⁴, hi⁴, ab²hi⁴, abehi⁴, ae²hi⁴, bfhi⁴, efhi⁴, b²efhi⁴, af²hi⁴, ceghi⁴, acfghi⁴, cef²ghi⁴, ah²i⁴, b²h²i⁴, beh²i⁴, e²h²i⁴, abfh²i⁴, aefh²i⁴, ab²efh²i⁴, f²h²i⁴, h³i⁴, abeh³i⁴, ae²h³i⁴, bfh³i⁴, efh³i⁴, af²h³i⁴, ai⁵, bci⁵, b³ci⁵, adi⁵, b²di⁵, b⁴di⁵, cei⁵, b²cei⁵, adei⁵, acfi⁵, ab²cfi⁵, bdfi⁵, abcefi⁵, bdefi⁵, df²i⁵, cef²i⁵, bgi⁵, b²egi⁵, fgi⁵, ab²fgi⁵, efgi⁵, hi⁵, ab²dhi⁵, acehi⁵, abdehi⁵, cfhi⁵, defhi⁵, b²defhi⁵, adf²hi⁵, acef²hi⁵, abghi⁵, aeghi⁵, befghi⁵, aef²ghi⁵, ah²i⁵, h³i⁵, ai⁶, b²i⁶, aei⁶, ae²i⁶, bfi⁶, befi⁶, f²i⁶, abcgi⁶, acegi⁶, ab²cegi⁶, afgi⁶, ab²fgi⁶, bcefgi⁶, acef²gi⁶, g²i⁶, beg²i⁶, abfg²i⁶, f²g²i⁶, abehi⁶, efhi⁶, af²hi⁶, aeghi⁶, acfghi⁶, befghi⁶, cef²ghi⁶, ci⁷, bcei⁷, ce²i⁷, abcfi⁷, acefi⁷, cf²i⁷, abgi⁷, fgi⁷, aef²gi⁷, ag²i⁷, bfg²i⁷, hi⁷, ace²hi⁷, cefhi⁷, acf²hi⁷, eghi⁷, afghi⁷, ef²ghi⁷}

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

Monoid Structure