Details Page for 0.3375

Complete Solution is Known:

MSV File: q-0.3375.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₄(0.3375):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b³=b, b²c³=c³, c⁵=c³, b²cd=cd, c³d=ac⁴, bd²=b, cd²=b²c, d³=d, be=bc, ce=c², de=cd, e²=b²c², b²f=f, c²f=ac⁴, d²f=f, ef=cf, f²=c⁴, b²g=g, c³g=ac⁴, d²g=g, eg=cg, g⁴=g², b²h=h, d²h=h, eh=ch, cfgh=c²dgh, c²h²=abc⁴h, fh²=cdh², cgh²=bc²dgh, ch³=c³h, g²h³=c⁴h, h⁴=abc⁴h, c³i=c⁴, g²i=adg², ch²i=bcfhi, cfhi²=c²dhi², h³i³=c³h, cfi⁴=acdfi³, c²hi⁴=ac²dhi³, h²i⁴=adh²i³, fi⁵=adfi⁴, hi⁵=adhi⁴, bi⁶=abdi⁵, di⁶=ad²i⁵, gi⁶=adgi⁵, i⁷=i⁵, b²c²j=c²j, b²dj=dj, d²j=b²j, ej=b²cj, cfj=ac³j, c²hj=bc⁴h, fghj=dfhj, cg²hj=dfhj, ch²j=ac³h, h³j=bc⁴h, fhij=adfhj, chi³j=acdhi²j, h²i³j=adh²i²j, c²i⁴j=ac²di³j, fi⁴j=adfi³j, hi⁴j=adhi³j, b²j²=j², c²j²=c⁴, fgj²=dfj², fhj²=bfhj, g²h²j²=abc²g²h, fij²=adfj², i⁴j²=adi³j², cg²j³=dfj³, g³hj³=dg²hj³, fj⁴=fj², g³j⁴=dg²j⁴, h²j⁴=abc⁴h, cj⁵=cj³, g²hj⁵=g²hj³, g²j⁶=g²j⁴, i³j⁶=i³j⁴, j⁷=j⁵>

P = {a, b², c², b²c², c⁴, ad, bcd, ad², bf, cdf, ag, abcdg, abfg, g², c²g², bcdg², bfg², cdfg², ag³, abcdg³, abfg³, abh, abc²h, abc⁴h, bdfh, bgh, cdgh, fgh, abg²h, abc²g²h, bg³h, cdg³h, fg³h, h², acdh², g²h², abh³, abdgh³, i, abci, ab²di, ac²di, d²i, acfi, abdfi, bcgi, dgi, bdfgi, abcdhi, bcfhi, acghi, adfghi, adh²i, bgh²i, bdh³i, b²i², ci², b²c²i², adi², bcdi², bfi², cdfi², agi², abcdgi², abfgi², abhi², abc²hi², cdghi², fghi², h²i², abdgh²i², abh³i², i³, abci³, ab²di³, ac²di³, d²i³, acfi³, abdfi³, bgi³, ac²gi³, acdfgi³, bdhi³, bc²dhi³, bc²ghi³, abcdghi³, abfghi³, adh²i³, b²i⁴, ci⁴, b²c²i⁴, adi⁴, bcdi⁴, bfi⁴, agi⁴, c²dgi⁴, bdfgi⁴, abhi⁴, bghi⁴, i⁵, abci⁵, ab²di⁵, ac²di⁵, d²i⁵, bcgi⁵, dgi⁵, ci⁶, cj, b²cj, abc³j, bdj, bc²dj, dfj, acgj, abdgj, cg²j, bdg²j, bc²dg²j, dfg²j, acg³j, abdg³j, adhj, dghj, dg³hj, bh²j, bg²h²j, abij, abc²ij, acdij, afij, bgij, cdgij, hij, aghij, abdh²ij, b²ci²j, bdi²j, bc²di²j, dfi²j, acgi²j, abdgi²j, adhi²j, dghi²j, bh²i²j, abi³j, abc²i³j, acdi³j, afi³j, bcgi³j, abc²dgi³j, adfgi³j, hi³j, aghi³j, b²ci⁴j, bdi⁴j, abcdgi⁴j, abi⁵j, acdi⁵j, j², bcdj², bfj², agj², g²j², bcdg²j², ag³j², abhj², bghj², abg²hj², bg³hj², h²j², abcij², adij², dgij², bdhij², abdghij², adh²ij², i²j², bcdi²j², agi²j², abhi²j², bghi²j², h²i²j², abci³j², adi³j², cdgi³j², bdhi³j², abdghi³j², cj³, bdj³, dfj³, cdgj³, bdg²j³, adhj³, bh²j³, bdgh²j³, abij³, acdij³, acgij³, hij³, abdh²ij³, abgh²ij³, ci²j³, bdi²j³, adhi²j³, dghi²j³, bh²i²j³, abi³j³, acdi³j³, bcgi³j³, hi³j³, aghi³j³, j⁴, bcdj⁴, bcgj⁴, dgj⁴, g²j⁴, abhj⁴, abdghj⁴, abg²hj⁴, abcij⁴, adij⁴, agij⁴, abcdgij⁴, bdhij⁴, bghij⁴, i²j⁴, bcdi²j⁴, abhi²j⁴, bcghi²j⁴, abci³j⁴, adi³j⁴, bgi³j⁴, cdgi³j⁴, bdhi³j⁴, bdj⁵, bgj⁵, bdg²j⁵, adhj⁵, abij⁵, abdgij⁵, hij⁵, bdi²j⁵, adhi²j⁵, abi³j⁵, dgi³j⁵, hi³j⁵, j⁶, dgj⁶, abhj⁶, abdghj⁶, adij⁶, agij⁶, bdhij⁶, bghij⁶, i²j⁶, abhi²j⁶, abdghi²j⁶}

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

Monoid Structure