Details Page for 0.3135

Complete Solution is Known:

MSV File: q-0.3135.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₁(0.3135):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b³=b, b²c=c, c⁵=c⁴, b²d=d, c⁴d=ac⁴, d²=c⁴, b²e=e, c⁴e=bc⁴, c³e²=c³, ce³=ce, e⁴=e², b²f=f, c⁴f=ac⁴, cf²=c, e²f²=e², f⁴=f², b²g=g, cg=bc², e²g²=c²e², f²g²=c², g⁵=bg⁴, b²h=h, c⁴h=ac⁴, c²e²h=c²h, ef³h=efh, de³fgh=defgh, def²gh=de³gh, efg²h=c²efh, fg³h=bc³fh, g⁴h=fg⁴, c²h²=c²e², eh²=e³, g³h²=bc³, cdh³=cdh, fg²h³=fg²h, h⁴=h², b²i=i, c²i=c³, cei=c²e, e²i=ce², egi=beg², g²i=bg³, f³hi=fhi, f²h²i=h²i, ch³i=chi, chi²=c³h, gh²i²=bc³, ci³=c⁴, ei³=beg³, gi³=bg⁴, h³i³=f²hi³, i⁴=g⁴, b²j=j, c³j=bc³e, cej=bce², e²j=be³, g⁴j=g⁴, c²hj=bc²eh, cdhj=bcdeh, defhj=bde²fh, f³hj=fhj, fg²hj=bc²efh, ch²j=bce, f²h²j=h²j, gh²j=be³g, cij=bc²e, f²gij=ef²i², fghij=efhi², h²ij=bce, i²j=bgij, c²j²=c², egj²=eg, g³j²=g³, dfghj²=de²fgh, dh³j²=df²hj², f²ij²=bef²ij, fhij²=befhij, ghij²=bg²hj², cj³=cj, g²j³=g²j, dehj³=dehj, dfhj³=dfh³j, h²j³=h²j, ej⁴=ej², gj⁴=gj², dhj⁴=dhj², j⁵=j³>

P = {a, b², c, c², c³, c⁴, bd, acd, ac²d, ac³d, be, bce, bc²e, bc³e, ade, abc²de, abc³de, e², ce², c²e², bde², acde², ac²de², be³, ade³, f, acf, ac²f, ac³f, bdf, c²df, c³df, bef, bcef, abc²ef, abc³ef, def, cdef, bc³def, e²f, ace²f, ac²e²f, bde²f, c²de²f, be³f, de³f, f², bdf², bef², adef², f³, bdf³, bef³, def³, bg, dg, eg, be²g, e³g, bfg, efg, bdefg, be²fg, e³fg, bde³fg, bf²g, ef²g, bf³g, ef³g, bdef³g, g², bdg², beg², fg², befg², bg³, dg³, eg³, bfg³, efg³, g⁴, bdg⁴, beg⁴, fg⁴, befg⁴, h, ach, ac²h, ac³h, bdh, bcdh, c³dh, beh, bceh, abc²eh, abc³eh, deh, bc²deh, bc³deh, e²h, ace²h, bde²h, bcde²h, be³h, de³h, fh, cfh, c²fh, c³fh, bdfh, abcdfh, abc²dfh, befh, bcefh, bc²efh, bc³efh, defh, acdefh, abc³defh, e²fh, ce²fh, bde²fh, abcde²fh, be³fh, de³fh, f²h, bdf²h, bef²h, def²h, f³h, bdf³h, bgh, dgh, egh, be²gh, de²gh, e³gh, bfgh, adfgh, efgh, abdefgh, be²fgh, ade²fgh, e³fgh, bf²gh, df²gh, ef²gh, bf³gh, adf³gh, g²h, beg²h, fg²h, abdfg²h, bg³h, eg³h, h², ch², bdh², acdh², fh², acfh², bdfh², f²h², bdf²h², f³h², bdf³h², bgh², dgh², bfgh², bf²gh², bf³gh², g²h², fg²h², h³, ach³, bdh³, fh³, cfh³, bdfh³, f²h³, bdf²h³, f³h³, bdf³h³, bgh³, dgh³, bfgh³, adfgh³, bf²gh³, df²gh³, bf³gh³, adf³gh³, g²h³, i, ci, bdi, acdi, bei, fi, acfi, bdfi, befi, defi, f²i, bdf²i, bef²i, f³i, bdf³i, bef³i, def³i, bgi, dgi, bfgi, bf²gi, bf³gi, hi, achi, bdhi, behi, fhi, cfhi, bdfhi, abcdfhi, befhi, adefhi, f²hi, bdf²hi, bef²hi, bghi, bfghi, adfghi, bf²ghi, h²i, ch²i, bdh²i, acdh²i, fh²i, acfh²i, bdfh²i, bgh²i, bfgh²i, h³i, bdh³i, fh³i, bdfh³i, bgh³i, bfgh³i, adfgh³i, i², ci², bdi², acdi², bei², fi², acfi², bdfi², befi², f²i², bdf²i², bef²i², f³i², bdf³i², bef³i², bgi², dgi², bfgi², bf²gi², bf³gi², hi², behi², fhi², adfhi², befhi², af²hi², bef²hi², bghi², bfghi², bf²ghi², h²i², adh²i², afh²i², ah³i², fh³i², adfh³i², i³, bdi³, fi³, f²i³, adf²i³, af³i³, hi³, fhi³, adfhi³, af²hi³, df²hi³, h²i³, adh²i³, afh²i³, dfh²i³, j, cj, c²j, bdj, acdj, ac²dj, bej, fj, acfj, ac²fj, bdfj, c²dfj, befj, defj, f²j, bdf²j, bef²j, f³j, bdf³j, bef³j, def³j, bgj, dgj, egj, bfgj, efgj, bf²gj, ef²gj, adef²gj, bf³gj, aef³gj, g²j, bdg²j, beg²j, fg²j, befg²j, bg³j, dg³j, eg³j, bfg³j, efg³j, hj, achj, bdhj, behj, dehj, fhj, cfhj, bdfhj, befhj, f²hj, bdf²hj, bef²hj, bghj, eghj, bdeghj, bfghj, adfghj, efghj, bf²ghj, aef²ghj, g²hj, beg²hj, bg³hj, eg³hj, h²j, bdh²j, fh²j, bdfh²j, h³j, bdh³j, fh³j, bdfh³j, ij, bdij, beij, fij, bdfij, befij, f²ij, bdf²ij, bef²ij, f³ij, bdf³ij, bef³ij, bgij, dgij, bfgij, hij, behij, dehij, fhij, abdfhij, befhij, f²hij, bef²hij, bghij, j², cj², bdj², acdj², bej², adej², fj², acfj², bdfj², befj², defj², f²j², bdf²j², bef²j², adef²j², f³j², bdf³j², bef³j², def³j², bgj², dgj², bfgj², bf²gj², bf³gj², g²j², bdg²j², fg²j², hj², achj², bdhj², behj², dehj², fhj², cfhj², bdfhj², befhj², f²hj², bdf²hj², bef²hj², bghj², dghj², bfghj², bf²ghj², g²hj², h²j², bdh²j², fh²j², bdfh²j², h³j², fh³j², ij², bdij², beij², fij², befij², defij², bgij², dgij², bfgij², hij², bdhij², behij², j³, bdj³, bej³, fj³, bdfj³, befj³, defj³, f²j³, bdf²j³, bef²j³, f³j³, bdf³j³, bef³j³, def³j³, bgj³, dgj³, bfgj³, bf²gj³, bf³gj³, hj³, bdhj³, behj³, fhj³, befhj³, f²hj³, bef²hj³, bghj³, bfghj³, bf²ghj³, ij³, bdij³, beij³, fij³, bdfij³, befij³, bgij³, dgij³, bfgij³, hij³, behij³, j⁴, bdj⁴, fj⁴, bdfj⁴, f²j⁴, bdf²j⁴, f³j⁴, bdf³j⁴, hj⁴, fhj⁴, f²hj⁴, ij⁴, bdij⁴, fij⁴, hij⁴}

Phi = 1 a b a b c b b² d b² ef²j² b² e f g h b c b i d j

Monoid Structure