Details Page for 0.3176

Complete Solution is Known:

MSV File: q-0.3176.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₀(0.3176):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², b³c=bc, b²c²=c², c⁵=c³, bd=ab³, c²d=ac², cd²=acd, d³=ad², c³e=abc⁴, d²e=ade, b²e²=e², ce²=abc²e, de²=ae², e³=abc³, bf=ab³, cf=ab²c, df=b², ef=ab²e, f²=b², b²g=bc, bcg=c², c²g=bc³, cdg=acg, d²g=adg, e²g=ac²e, fg=abc, g²=c², cdh=ach, d²h=adh, fh=ab²h, gh=bch, b³h²=bh², c³h²=c³, dh²=ah², c²h⁴=c²h², e²h⁴=e²h², h⁵=h³, bi=abg, ci=abc², di=bc, e²i=c²e, fi=bc, gi=ac², h²i=abch², i²=c², b³j=bj, c²j=abc⁴, dj=aj, e²j=abc⁴, fj=ab²j, bgj=b²cj, cgj=ac⁴, egj=bcej, ch²j=cj, h⁴j=h²j, ij=abcj, j²=c⁴, b³k=bk, c³k=ac⁴, dk=ak, fk=ab²k, bgk=b²ck, b²hk=hk, ik=abck, cjk=bc⁴, h²jk=ab²cj, k²=c⁴>

P = {a, b², c², c⁴, d², ae, b²ce, acde, e², aeg, beh, h², b²h², c²h², abceh², e²h², h⁴, b²h⁴, abceh⁴, ei, ehi, ahj, ab²hj, aehj, b²cehj, ah³j, ab²h³j, aeh³j, abk, bc²ek, aegk, achk, behk, ceh²k, abch³k, c²eh³k, beh⁴k, ab²ejk}

Phi = 1 a dg a 1 adg b dg b ab adg c d e f g h b³ i j k

Monoid Structure