Details Page for 0.1675

Complete Solution is Known:

MSV File: q-0.1675.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₁(0.1675):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c=c, c³=ac², b²d=d, c²d=ac², d³=d, b²e=e, c²e=abc², de²=ac², e³=abe², b²f=f, c²f=bc², d²f=f, ef=ac², f²=c², b²g=g, c²g²=c², e²g²=e², fg³=fg, g⁵=g³, b²h=h, ch=c², e²h=ce², fh=cf, degh=acdfg, eg³h=egh, h²=c², b²i=i, c²i=ac², cd²i=ci, ce²i=c², d²hi=hi, ehi=acfi, g³hi=ghi, d²i²=i², e²i²=c², fi²=bc², hi²=ac², i³=di², b²j=j, d²j=j, e²j=c²j, cgj=agj, dgj=agj, egj=abgj, fgj=bgj, g²j=c²j, ghj=agj, cdeij=aceij, gij=agj, di²j=ai²j, cei²j=aceij, c²j²=c², gj²=c²g, fj³=fj, eij³=eij, i²j³=i²j, j⁵=j³, b²k=k, c²k=bc², dek=c², e²k=abek, fk=c², eg²k=ek, cdg³k=acfg, hk=ck, ceik=ac², cgik=acdfgi, dg³ik=dgik, i²k=bc², jk=bc²j, k²=c²>

P = {a, b², abc, c², ad, bcd, d², abcd², e², ace², bf, abdf, abg, cg, bdg, acdg, abd²g, cd²g, abceg, bcdeg, abcd²eg, bcfg, bcdfg, g², adg², d²g², abeg², bdeg², abd²eg², bfg², abcfg², abdfg², cg³, cdg³, cd²g³, abceg³, abcdeg³, abcd²eg³, g⁴, acg⁴, adg⁴, d²g⁴, acd²g⁴, abeg⁴, bceg⁴, bdeg⁴, abd²eg⁴, bcd²eg⁴, abh, bdh, abd²h, gh, dgh, d²gh, abegh, ag²h, ad²g²h, beg²h, g³h, dg³h, d²g³h, ag⁴h, ad²g⁴h, bei, abdei, bd²ei, ae²i, abfi, bdfi, abcdfi, agi, dgi, ad²gi, bcegi, abcdegi, acdg²i, beg²i, abdeg²i, bd²eg²i, abfg²i, bdfg²i, abcdfg²i, ag³i, dg³i, ad²g³i, bcdeg³i, acdg⁴i, beg⁴i, abdeg⁴i, bd²eg⁴i, adghi, i², aci², adi², cdi², abei², bdei², abcegi², bcdegi², g²i², acg²i², adg²i², cdg²i², abeg²i², bdeg²i², bcg³i², bceg³i², g⁴i², acg⁴i², adg⁴i², cdg⁴i², abeg⁴i², bdeg⁴i², abcdeg⁴i², bcj, abcdj, ej, acej, adej, cdej, cfj, acdfj, bhj, abdhj, aehj, dehj, bij, abcij, abdij, bcdij, ceij, cdfij, abhij, bdhij, j², adj², bfj², abdfj², beij², abdeij², abfij², bdfij², abcdfij², i²j², aci²j², abei²j², bcj³, bcdj³, ej³, acej³, adej³, bhj³, bdhj³, aehj³, bij³, abcij³, abdij³, abhij³, j⁴, acj⁴, adj⁴, bcej⁴, ahj⁴, behj⁴, cij⁴, hij⁴, ek, bgk, abcgk, abdgk, bcdgk, bd²gk, abcd²gk, aegk, cegk, bg³k, abcg³k, bdg³k, bd²g³k, abg⁴k, abdg⁴k, abik, bcik, bdik, abcdik, abd²ik, abg²ik, abd²g²ik}

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

Monoid Structure