Details Page for 0.1716

Complete Solution is Known:

MSV File: q-0.1716.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₈(0.1716):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, c⁵=c³, bd=ab, d²=b², b²ce=ce, c³e=b²c⁴, cde=ace, be³=be, ce³=ce, e⁴=e², bf=b²c, cf=bc², def=abce, f²=b²c², b²g=g, c³g=ab²c³, dg=ag, eg=ab²e, fg=bcg, cg²=ce², g⁴=b²e², bh=b, ch=b²c, e³h=eh, fh=bc, gh=g, h²=b², cdi=ab²ci, b²ei=ei, dei=aei, e³i=ei, efi=bcei, c²gi=ac²e²i, hi=b²i, b²ci²=ci², c³i²=b²c³, c²ei²=c²e, fi²=bci², b²i³=i³, di³=ai³, ei³=ei, cgi³=cgi, g²i³=g²i, ci⁴=ci², i⁵=i³, b²cj=cj, c³j=abc⁴, dj=ab²j, b²ej=ej, cej=abc²e, e³j=ej, fj=bcj, hj=b²j, b²i²j=i²j, b²j²=j², cj²=abc²j, ej²=c²e, g²j²=c²e², gij²=ac²e²i, i⁴j²=i²j², j³=abc³, b²ck=ck, c³k=bc⁴, cdk=ack, b²ek=ek, dek=aek, e³k=ek, efk=bcek, hk=b²k, b²ik=ik, dik=aik, fik=bcik, b²jk=jk, k²=b²>

P = {a, b², c², b²c², c⁴, b²c⁴, acd, ac³d, ae, bce, ae², b²e², c²e², ae³, de³, ef, ag, ac²g, g², ag³, ah, ae²h, bci, ac³i, adi, ei, bce²i, fi, abcgi, i², b²i², c²i², bcei², e²i², agi², g²i², ag³i², bci³, i⁴, agi⁴, bcj, ej, b²ij, ae²ij, agij, g³ij, bci²j, ei²j, i³j, agi³j, j², agj², i²j², cek, adfk, cik, beik, c²eik, ce²ik, acgik, ci³k, cjk, bejk, acgjk, bijk, c²ijk, abe²ijk, abgijk, bg²ijk, bi³jk, abc²i³jk, abgi⁴jk}

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

Monoid Structure