Details Page for 0.1315

Complete Solution is Known:

MSV File: q-0.1315.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅(0.1315):

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, c²e²=c², de⁴=de², e⁵=e³, b²f=f, c⁴f=bc⁴, cf²=c, e²f²=e², f³=f, c³g=ac⁴, cdg=c⁴, ce²g=cg, de²g=ac³d, e⁴g=e²g, df²g=dg, g²=c⁴, b²h=h, c⁴h=ac⁴, h²=b², b²i=i, c²i=abc³d, cdi=abdg, cgi=abc⁴, dgi=bc⁴, ci²=c⁴, di²=ac⁴, e²i²=abe²gi, gi²=ac⁴, i³=bc⁴, b²j=j, c⁴j=bc⁴, c³j²=c⁴, ce²j²=cj², f²j²=j², cgj²=e²fgi, dgj²=c⁴, e²gj²=gj², de²ij²=dij², gij²=e²gi, i²j²=abe²gi, c²j³=c²fj², dj³=dfj², cj⁴=cj², e³j⁴=e³j², gj⁴=gj², j⁵=j³>

P = {a, b², c, c², c³, c⁴, bd, acd, ac²d, ac³d, abde, e², ce², bde², acde², abde³, e⁴, ce⁴, bf, bcf, bc²f, bc³f, adf, abc²df, abc³df, def, cdef, be²f, bce²f, de³f, cde³f, be⁴f, bce⁴f, f², bdf², abdef², ab²g, acg, ac²g, dg, ae²g, abfg, abcfg, abc²fg, bdfg, abe²fg, af²g, h, ach, ac²h, ac³h, bdh, c²dh, c³dh, aeh, abdeh, bcdeh, e²h, ace²h, bde²h, ae³h, abde³h, bcde³h, e⁴h, ace⁴h, bfh, bcfh, abc²fh, abc³fh, dfh, cdfh, bc³dfh, abcefh, acdefh, c²defh, abe²fh, bce²fh, ade²fh, cde²fh, be³fh, abce³fh, de³fh, acde³fh, abe⁴fh, bce⁴fh, f²h, bdf²h, aef²h, abdef²h, cgh, c²gh, adgh, abegh, abe³gh, bc²fgh, abdfgh, efgh, acefgh, e³fgh, abef²gh, bi, bci, adei, be²i, bce²i, ade³i, be⁴i, bce⁴i, fi, cfi, adfi, e²fi, ce²fi, ade²fi, e⁴fi, ce⁴fi, bf²i, adef²i, abgi, abe²gi, afgi, ae²fgi, abf²gi, bhi, abchi, adehi, be²hi, abce²hi, ade³hi, be⁴hi, abce⁴hi, dfhi, aefhi, bde³fhi, ae⁴fhi, bf²hi, adef²hi, aeghi, ae³ghi, fghi, e²fghi, aef²ghi, i², bfi², f²i², behi², abfhi², bef²hi², bj, bcj, bc²j, bc³j, adj, abc²dj, abc³dj, dej, acdej, be²j, bce²j, ade²j, de³j, acde³j, be⁴j, bce⁴j, fj, cfj, c²fj, c³fj, bdfj, abcdfj, ac³dfj, abdefj, bcdefj, ac²defj, e²fj, ce²fj, bde²fj, abcde²fj, abde³fj, bcde³fj, e⁴fj, ce⁴fj, bf²j, adf²j, def²j, abgj, abcgj, abc²gj, bdgj, abe²gj, afgj, acfgj, ac²fgj, dfgj, ae²fgj, abf²gj, bhj, bchj, abc²hj, abc³hj, dhj, cdhj, bc³dhj, abcehj, acdehj, c²dehj, abe²hj, bce²hj, ade²hj, cde²hj, be³hj, abce³hj, de³hj, acde³hj, abe⁴hj, bce⁴hj, fhj, cfhj, c²fhj, ac³fhj, bdfhj, bcdfhj, bc²dfhj, ac²efhj, abc²defhj, c³defhj, e²fhj, ace²fhj, bde²fhj, abcde²fhj, ae³fhj, ce³fhj, abde³fhj, bcde³fhj, e⁴fhj, ace⁴fhj, bf²hj, df²hj, bc²ghj, abdghj, eghj, e³ghj, adfghj, befghj, bcefghj, abe³fghj, ef²ghj, ij, cij, adij, e²ij, ce²ij, ade²ij, e⁴ij, ce⁴ij, bfij, bcfij, abdefij, be²fij, bce²fij, abde³fij, be⁴fij, bce⁴fij, f²ij, adf²ij, agij, ae²gij, abfgij, abe²fgij, af²gij, aehij, acehij, bdehij, ace³hij, bde³hij, ae⁴hij, abefhij, cefhij, adefhij, be²fhij, de²fhij, be⁴fhij, abce⁴fhij, bef²hij, beghij, be³ghij, bfghij, bi²j, fi²j, bf²i²j, aehi²j, afhi²j, ef²hi²j, j², cj², c²j², bdj², acdj², ac²dj², abdej², e²j², bde²j², abde³j², e⁴j², bfj², bcfj², bc²fj², adfj², abc²dfj², defj², acdefj², be²fj², ade²fj², de³fj², be⁴fj², agj², abfgj², hj², achj², ac²hj², bdhj², c²dhj², aehj², abdehj², bcdehj², e²hj², bde²hj², ae³hj², abde³hj², e⁴hj², bfhj², bcfhj², abc²fhj², dfhj², cdfhj², abcefhj², acdefhj², c²defhj², abe²fhj², ade²fhj², be³fhj², de³fhj², abe⁴fhj², abeghj², efghj², bij², bcij², adeij², be²ij², be⁴ij², fij², cfij², adfij², e²fij², e⁴fij², bhij², abchij², adehij², be²hij², be⁴hij², bdefhij², ae²fhij², ae⁴fhij², bj³, bcj³, be²j³, be⁴j³, fj³, cfj³, e²fj³, e⁴fj³, abgj³, afgj³, bhj³, bchj³, abcehj³, abe²hj³, be³hj³, abe⁴hj³, fhj³, acfhj³, aefhj³, e²fhj³, ae³fhj³, e⁴fhj³, eghj³, abefghj³, ij³, cij³, e²ij³, e⁴ij³, bfij³, bcfij³, be²fij³, be⁴fij³, aehij³, acehij³, ae⁴hij³, bfhij³, abcfhij³, be²fhij³, be⁴fhij³, j⁴, e²j⁴, bfj⁴, be²fj⁴, hj⁴, aehj⁴, e²hj⁴, bfhj⁴, abe²fhj⁴, bij⁴, be²ij⁴, fij⁴, e²fij⁴, bhij⁴, be²hij⁴, aefhij⁴}

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

Monoid Structure