Details Page for 0.1752

Complete Solution is Known:

MSV File: q-0.1752.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₉(0.1752):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c³=c³, c⁵=c³, bd=ab, c³d=ac³, d²=b², b²ce=ce, c³e=c⁴, de=ab²e, e⁴=e², bf=ab, c³f=ac³, cef=ace, f²=b², b²g=g, c³g=ac³, dg=ag, fg=ag, c²g²=b²c², eg²=b²e, g³=g, b²h=h, c³h=c⁴, dh=ah, fh=ah, g²h=h, c²h²=b²c², ceh²=ce, e²h²=b²e², ch³=ch, eh³=eh, h⁴=h², b²ci=ci, c³i=bc⁴, di=ab²i, b²e²i=e²i, fi=ab²i, b²i²=i², c²i²=b²c², g²i²=i², h²i²=i², ce²i³=ce²i, i⁴=i², bj=b²e, c²j=bc²e, ej=be², fj=dj, gj=beg, hj=beh, ij=bei, j²=b²e², b²k=k, dk=ak, c²e³k=c²ek, fk=ak, g²k=k, ch²ik=cik, eh²ik=eik, h³ik=hik, jk=bek, c²k²=c²e², e²k²=b²e², h²k²=k², ci³k³=cik³, k⁴=b²e²>

P = {a, b², c², b²c², c⁴, ad, ac²d, ae, bce, ae², b²e², c²e², ae³, bce³, cf, cdf, ag, ac²g, bceg, ae²g, ac²e²g, bce³g, g², bch, eh, c²eh, bce²h, e³h, c²e³h, bcgh, aegh, ac²egh, bce²gh, ae³gh, ac²e³gh, h², agh², abci, ab²ei, bc²ei, ce²i, be³i, bc²e³i, abcgi, egi, abc²egi, ce³gi, ahi, bc²hi, cehi, be²hi, bc²e²hi, ghi, abc²ghi, abc²e²ghi, ch²i, beh²i, bh³i, i², bcei², e²i², bce³i², agi², abcegi², ae²gi², bce³gi², bchi², ehi², bce²hi², e³hi², abcghi², aeghi², abce²ghi², ae³ghi², ci³, bei³, be³i³, acgi³, abegi³, bhi³, cehi³, be²hi³, abghi³, aceghi³, abe²ghi³, cj, ck, bek, ace²k, abe³k, cgk, begk, ce²gk, be³gk, bhk, acehk, abe²hk, ce³hk, bghk, ceghk, be²ghk, ce³ghk, ach²k, abeh²k, cgh²k, begh²k, abh³k, bgh³k, abik, abceik, ae²ik, abce³ik, abgik, bcegik, e²gik, abc²e²gik, abchik, aehik, bcghik, eghik, e³ghik, ah²ik, gh²ik, aci²k, abei²k, ace²i²k, abe³i²k, cgi²k, begi²k, ce²gi²k, be³gi²k, abhi²k, acehi²k, abe²hi²k, ce³hi²k, bghi²k, ceghi²k, be²ghi²k, ce³ghi²k, ai³k, abcei³k, ae²i³k, gi³k, bcegi³k, e²gi³k, abchi³k, aehi³k, bcghi³k, eghi³k, e³ghi³k, k², bcek², agk², abcegk², bchk², ehk², abcghk², aeghk², cik², beik², acgik², abegik², bhik², cehik², abghik², i²k², bcei²k², agi²k², abcegi²k², bchi²k², ehi²k², abcghi²k², aeghi²k², ci³k², bei³k², acgi³k², abegi³k², bhi³k², cehi³k², abghi³k², aceghi³k², ack³, abek³, cgk³, begk³, abhk³, acehk³, bghk³, ceghk³, aik³, abceik³, gik³, abchik³, aehik³, eghik³, aci²k³, abei²k³, cgi²k³, begi²k³, abhi²k³, acehi²k³, bghi²k³, ceghi²k³, ai³k³, gi³k³, aehi³k³, eghi³k³}

Phi = 1 a a b b ab c a d e ab b b f g b²e h i j k

Monoid Structure