Details Page for 0.3744

Complete Solution is Known:

MSV File: q-0.3744.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅(0.3744):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², b²c²=c², c⁵=c³, bcd=abc², c²d=ac³, bd²=bc⁴, cd²=c³, d³=ac³, b²e=ab³d, bce=c², c²e=bc³, d²e=acde, be²=bc⁴, ce²=c³, de²=ac³, e³=bc³, b²cf=abc², c²f=abc³, d²f=acdf, e²f=cde, b²f²=c², cdef²=abcf², bef³=acef², cf⁴=acef³, bf⁵=ac³, df⁵=bc⁴, f⁷=f⁵, b²g²=c⁴, cg²=c³, dg²=ac³, eg²=bc³, fg²=abc³, bg³=bc⁴g, g⁴=c⁴, b²h=ab², bch=ab³c, c²h=ac², bdh=ab³d, cdh=abcf, d²h=acdef, beh=b²d, deh=bc⁴, e²h=bcf³, efh=b³df, bf²h=ceh, cf²h=cef³, f³h=ef⁶, ch²=b²c, dh²=b²d, eh²=ab³d, fh²=b²f, bgh³=abgh², g²h³=ag²h², h⁴=ah³, b²i=b³, ci=bc, bdi=b²d, d²i=bc⁴, ei=ab²d, bf²i=abcf, df²i=abcf², f³i=adef³, dhi=ab³d, fhi=ab³f, g²hi=ag²i, h²i=ahi, i²=b², b³cj=bcj, c³j=abc³, b³dj=bdj, cdj=ac²j, d²j=abc⁴, bej=ab²dj, cej=bc²j, dej=cdef, e²j=abc⁴, b³fj=bfj, bcfj=ac²j, bdfj=c²j, bf²j=bc²j, cf²j=abcf², df²j=cdf³, ef²j=cef³, f⁴j=abc⁴, chj=ab²cj, dhj=ab²dj, ehj=bdj, fhj=ab²fj, bh²j=b³j, g²h²j=abg²h², gh³j=agh²j, bij=b²j, dij=bdj, fij=bfj, g²ij=abg²i, hij=aij, j²=cdef, c³k=c³g, bcf³gk=abg²hj, bg²k=bc⁴g, g²hk=bcf³k, bgh²k=b³gk, g²ik=bc⁴g, hik=ab³k, b³jk=bjk, g²jk=abc⁴g, bhjk=abjk, ghjk=ab²gjk, ijk=bjk, k²=c⁴>

P = {a, b², c², c⁴, acd, d², abde, e², abcf, bdf, b³df, aef, cdef, f², acdf², abdef², abcf³, bdf³, aef³, f⁴, aef⁵, f⁶, g², af²h, ag²h, h², g²h², ah³, ai, dfi, abgi, ag³i, bghi, bj, ab³j, abc²j, cfj, adfj, bg²j, aghj, ag³hj, gij, abk, b²gk, acgk, abc²gk, d²gk, abdegk, e²gk, aefgk, cdefgk, f²gk, bdf²gk, bf³gk, cdf³gk, def⁴gk, af⁵gk, g³k, bhk, eghk, acfghk, gh²k, abh³k, bgik, af²gik, ajk, abfgjk, f³gjk, h³jk}

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

Monoid Structure