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 Q₂₂(0.1675):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | 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, def=c², e²f=abef, f²=c², b²g=g, c²g²=c², efg²=ef, dfg³=dfg, fg⁴=fg², dg⁵=dg³, g⁶=g⁴, b²h=h, ch=c², e²h=ce², fh=cf, degh=acdfg, h²=c², b²i=i, c²i=ac², cd²i=ci, ce²i=c², cefi=ac², fg³i=fgi, g⁵i=g³i, d²hi=hi, ehi=acfi, g³hi=ghi, d²i²=i², e²i²=c², fi²=bc², hi²=ac², i³=di², b²j=j, d²j=j, e²j=c²j, efj=ac²j, cgj=agj, dgj=agj, egj=abgj, fgj=bgj, g²j=c²j, ghj=agj, cdeij=aceij, gij=agj, di²j=ai²j, cei²j=aceij, c²j²=c², gj²=c²g, cfj³=cfj, eij³=eij, fij³=fij, i²j³=i²j, j⁵=j³, b²k=k, c²k=bc², dek=c², e²k=abek, fk=c², eg²k=ek, cdg³k=acd²fg, g⁵k=g³k, hk=ck, ceik=ac², cgik=acdfgi, dg³ik=dgik, i²k=bc², jk=bc²j, k²=c², b²l=l, c²l=bc², cdel=ac², ce²l=abcel, cdfl=c², efl=bek, cdgl=cdgk, degl=bcdgk, dfgl=bcd²fg, cfg²l=acek, ehl=cel, ghl=cgl, cil=cik, deil=bcdik, dfil=bcfg²i, dg³il=dgil, hil=cik, i²l=bc², cejl=c²j, dejl=aejl, fjl=aejl, gjl=bgj, ijl=abc²j, cj³l=hjl, ej³l=ac²j, hj³l=hjl, kl=c², l²=c²>

P = {a, b², abc, c², ad, bcd, d², abcd², e², ace², bf, abdf, bd²f, aef, cef, abg, cg, bdg, acdg, abd²g, cd²g, abceg, bcdeg, abcd²eg, bcfg, bcdfg, bcd²fg, g², adg², d²g², abeg², bdeg², abd²eg², e²g², ace²g², bfg², abcfg², abdfg², bd²fg², abcd²fg², cg³, cdg³, cd²g³, abceg³, abcdeg³, abcd²eg³, bcfg³, g⁴, acg⁴, adg⁴, d²g⁴, acd²g⁴, abeg⁴, bceg⁴, bdeg⁴, abd²eg⁴, bcd²eg⁴, e²g⁴, ace²g⁴, cg⁵, abceg⁵, abh, bdh, abd²h, gh, dgh, d²gh, abegh, ag²h, ad²g²h, beg²h, g³h, dg³h, d²g³h, abeg³h, ag⁴h, ad²g⁴h, beg⁴h, g⁵h, abeg⁵h, bei, abdei, bd²ei, ae²i, abfi, bdfi, abcdfi, abd²fi, efi, agi, dgi, ad²gi, bcegi, abcdegi, acdg²i, beg²i, abdeg²i, bd²eg²i, ae²g²i, abfg²i, bdfg²i, abcdfg²i, abd²fg²i, ag³i, dg³i, ad²g³i, bcdeg³i, acdg⁴i, beg⁴i, abdeg⁴i, bd²eg⁴i, ae²g⁴i, 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, bfj⁴, abdfj⁴, 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, al, dl, ad²l, cel, be²l, acfl, bgl, abcgl, abdgl, bd²gl, aegl, fgl, ceg²l, be²g²l, afg²l, bg³l, abcg³l, bdg³l, bd²g³l, aeg³l, fg³l, abg⁴l, abdg⁴l, eg⁴l, abe²g⁴l, bg⁵l, abcg⁵l, aeg⁵l, ceg⁵l, be²g⁵l, abil, bdil, abd²il, eil, abe²il, afil, abg²il, abd²g²il, eg²il, abe²g²il, aj²l, dj²l, abhj²l, bj⁴l, abdj⁴l}

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

Monoid Structure