Details Page for 0.0064

Complete Solution is Known:

MSV File: q-0.0064.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₄(0.0064):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c³=c³, c⁵=c³, b²cd=cd, c³d=ac⁴, c²d³=c²d, d⁴=d², be=ab, c³e=ac³, cde=acd, e²=b², b²cf=cf, c³f=ac⁴, b²df=df, ef=ab²f, b²f²=f², c²f²=c⁴, d²f²=acd²f, cf³=ac⁴, f⁴=c⁴, b²g=g, c³g=c⁴, eg=ag, c²g²=b²c², d²g²=b²d², cg³=cg, dg³=dg, fg³=fg, g⁴=g², b²ch=ch, c³h=c⁴, b²dh=dh, ceh=ach, deh=adh, g³h=gh, c²dh²=c²d, d²h²=b²d², dgh²=dg, f³gh²=f³g, c²h³=c²h, cgh³=cgh, f²gh³=f²gh, cdh⁴=cdh², f³h⁴=f³h², gh⁴=gh², ch⁵=ch³, dh⁵=dh³, h⁶=h⁴, b²ci=ci, c²i=c²h, di=dh, cei=aci, fi=fh, g³i=gi, cgh²i=cgi, gh³i=ghi, ch⁴i=ch²i, h⁵i=h³i, i²=hi, b²j=j, ej=aj, c²d²hj=c²hj, c²h²j=c²d²j, cij=chj, c²dj²=ac³j², cd³j²=cdj², cdf²j²=ac⁴j², f³j²=ac³j², g²j²=j², c²hj²=c³j², dh²j²=dj², ch³j²=chj², f²h³j²=f²hj², h⁴j²=h²j², ij²=hj², c²j³=j³, dj³=acj³, fj³=acj³, gj³=cj³, hj³=cj³, j⁴=bj³, b²ck=ck, b²dk=dk, c²d²k=c²k, d³k=dk, ek=ab²k, df²k=acdfk, dg²k=dk, f³g²k=f³k, g³k=gk, c²h²k=c²k, dh²k=dk, f³h²k=f³k, gh²k=gk, ch⁴k=ch²k, h⁵k=h³k, ik=hk, c⁴j²k=c²j²k, cd²j²k=cj²k, c²fj²k=ac³j²k, cf²j²k=c³j²k, c²gj²k=c³j²k, h²j²k=j²k, j³k=bj³, k²=b²d²>

P = {a, b², c², b²c², c⁴, ad, bcd, ad², b²d², c²d², ad³, bcd³, ce, af, bcf, abdf, c²df, acd²f, abd³f, f², acdf², df³, bcg, dg, ac²dg, bcd²g, d³g, bcfg, abd²fg, ac²d²fg, af³g, g², bcdg², bcfg², abdfg², f²g², acdf²g², df³g², h, bch, dh, ac²dh, bcd²h, d³h, ac²fh, abd²fh, ac²d²fh, cf²h, af³h, gh, c²gh, bcdgh, d²gh, c²d²gh, bcd³gh, abdfgh, c²dfgh, acd²fgh, abd³fgh, f²gh, acdf²gh, df³gh, bcg²h, dg²h, cf²g²h, af³g²h, ah², b²h², c²h², bcdh², afh², bcfh², abdfh², f²h², acdf²h², df³h², bcgh², bcfgh², g²h², bcfg²h², f²g²h², h³, bch³, dh³, cf²h³, af³h³, gh³, ah⁴, b²h⁴, afh⁴, bcfh⁴, abdfh⁴, f²h⁴, h⁵, i, abci, gi, abcg²i, ahi, b²hi, bcghi, g²hi, h²i, abch²i, gh²i, ah³i, b²h³i, h⁴i, abcj, abc³j, bdj, bc²dj, cd²j, bd³j, bfj, ac²fj, cdfj, ad²fj, bc²d²fj, cd³fj, bf²j, bf³j, abc²gj, bd²gj, abc²d²gj, bfgj, cdfgj, cd³fgj, bf²gj, abdf³gj, cg²j, bdg²j, bfg²j, cdfg²j, bf²g²j, bf³g²j, bg³j, abc²hj, bd²hj, acfhj, abc²dfhj, adf²hj, cghj, bdghj, bc²dghj, cd²ghj, bd³ghj, bc²fghj, ad²fghj, abcf²ghj, adf²ghj, bf³ghj, bg²hj, acfg²hj, adf²g²hj, ch²j, bdh²j, bfh²j, cdfh²j, cf²h²j, bf³h²j, bgh²j, cg²h²j, afg²h²j, cf²g²h²j, bh³j, acfh³j, abf²h³j, bcdf²h³j, abdf³h³j, afgh³j, bg²h³j, ch⁴j, bdh⁴j, bfh⁴j, abcf²h⁴j, adf²h⁴j, bh⁵j, bghij, j², c²j², c⁴j², acdj², d²j², acfj², dfj², acd²fj², d³fj², f²j², cf²gj², adf²gj², afhj², cdfhj², cf²hj², ghj², acdghj², d²ghj², dfghj², acd²fghj², d³fghj², f²ghj², h²j², acfh²j², f²h²j², gh³j², bj³, ck, abc³k, bdk, bc²dk, cd²k, ab²fk, bc²fk, abcdfk, ad²fk, abcf²k, bf³k, bgk, abc²gk, cdgk, bd²gk, adfgk, abc²dfgk, cg²k, afg²k, abcf²g²k, bhk, abc²hk, cdhk, bd²hk, adfhk, abc²dfhk, cghk, bdghk, bc²dghk, cd²ghk, afghk, bc²fghk, abcdfghk, ad²fghk, abcf²ghk, bf³ghk, bg²hk, ch²k, ab²fh²k, abcf²h²k, bh³k, ab²fh⁴k, jk, c²jk, c⁴jk, bcdjk, d²jk, bcfjk, abdfjk, c²dfjk, bcd²fjk, f²jk, dgjk, ac²dgjk, bcfgjk, bcd²fgjk, af³gjk, g²jk, bcfg²jk, f²g²jk, dhjk, ac²dhjk, ac²fhjk, af³hjk, ghjk, c²ghjk, bcdghjk, d²ghjk, abdfghjk, c²dfghjk, abf²ghjk, h²jk, bcfh²jk, f²h²jk, cf²h³jk, h⁴jk, abf²h⁴jk, abcj²k, abc³j²k, bdj²k, bfj²k, abcdfj²k, bd²fj²k, abf²gj²k, bcfhj²k, abcghj²k, bdghj²k, bfghj²k, abcdfghj²k, bd²fghj²k}

Phi = 1 1 1 1 a a a b b b ab ab ab c a a a d d d ab ab ab b b b e ab² ab² f g h i j k

Monoid Structure