Details Page for 0.6026

Complete Solution is Known:

MSV File: q-0.6026.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₅(0.6026):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b⁴=b², b³c=bc, b²c²=c², c⁴=c², bd=b²c, c²d=bc³, cd³=bc², d⁵=d³, b³e=be, b²ce=ce, c²e=ac², cde=abc², d⁴e=d²e, b²e²=e², ce²=c³, de²=bc³, e⁴=c², b²cf=cf, c²f=abc², df=bcf, b²ef=ef, cef=bc³, b²f²=f², cf²=c³, e³f³=e³f, ef⁴=ef², f⁶=f⁴, b²g=g, c²g=bc², dg=bcg, ceg=abc³, cfg=bcf, ef³g=efg, f⁵g=f³g, e²g²=e²f², ef²g²=eg², f⁴g²=f²g², cg³=bcg², eg³=ef²g, f²g³=f⁴g, g⁴=g², b²ch=ch, cdh=bc²h, ceh=ac³h, cfh=abc³h, ef³h=efh, f⁵h=f³h, e³f²gh=e³gh, f⁴gh=f²gh, fg³h=fgh, c²h²=c², d⁴h²=d²h², d²eh²=d²e, e³h²=e³f², ef²h²=b²eh², f⁴h²=f²h², cgh²=abce, eg²h²=b²eh², fg²h²=b²fh², d²h³=d⁴h, deh³=deh, e²h³=e²f²h, g³h³=gh³, ch⁴=c³, eh⁴=eh², f²h⁴=f²h², g²h⁴=b²h⁴, fh⁵=f³h³, bh⁶=bf²h², dh⁶=dh⁴, gh⁶=f²gh², h⁸=h⁶, b³i=bi, c²i=ac³, d³i=abc², ei=c³, b²fi=fi, f⁴i=ac³, cgi=bci, f²gi=af³i, g³i=bg²i, f³hi=bc³h, g²hi=bghi, b²h²i=h²i, ch²i=ac², dh²i=abc², f²h²i=ac³, gh²i=bh²i, h⁶i=ac³, i²=c², c²j=abc³, cdj=acd², d⁴j=d²j, d²ej=ad³e, e²j=abc³, cfj=c², efj=ac³, f³j=c³, egj=c³, f²gj=ac³, cg²j=abc², fg²j=bfgj, g³j=bg²j, d²hj=ad³h, ehj=adeh, f²hj=abc³h, fgh²j=b³fh²j, g²h³j=bgh³j, dh⁴j=ad²h², b²fh⁴j=abcf, gh⁴j=b³h⁴j, b²h⁵j=abcg²h, h⁶j=adh⁴, bcij=c³, dij=ad²i, f²ij=cej, g²ij=bgij, chij=bc³h, fh⁴ij=abcfi, h⁵ij=abchi, b²j²=c², cj²=c³, dj²=d³h², bej²=abc², f²j²=c², gj²=bc², bfh⁴j²=cd²i, ij²=ac³, j³=ad³h², b³k=bk, ck=c², dk=cd, ek=ce, b²fk=fk, f³k=f²j, f²gk=af²j, g²k=cg², b²hk=hk, ghk=bcg²h, h²k=ace, f²hik=bch³j, fjk=c², gjk=ac², ijk=cij, j²k=c³, k²=c²>

P = {a, b², c², ad, ad², ad³, ad⁴, be, e², ae³, abf, ab³f, aef, abe²f, be³f, f², bef², e²f², ae³f², af³, abef³, f⁴, af⁵, beg, abe³g, aefg, e³fg, abf²g, bef²g, abe²f²g, abf⁴g, g², beg², aefg², f²g², abg³, abeh, d³eh, be²h, efh, ae²fh, be²f²h, abe³f²h, agh, abegh, bfgh, efgh, af²gh, be²f²gh, bf³gh, abeg²h, efg²h, ag³h, h², b²h², d²h², aeh², ab²eh², e²h², abfh², ab³fh², befh², abe²fh², f²h², abf³h², g²h², bh³, b³h³, abeh³, afh³, ab²fh³, efh³, bf²h³, af³h³, bgh³, abegh³, afgh³, efgh³, bf²gh³, af³gh³, bg²h³, h⁴, b²h⁴, abfh⁴, ab³fh⁴, bh⁵, b³h⁵, bgh⁵, h⁶, ai, ab²i, ad²i, bfi, abgi, fgi, ag²i, bfg²i, bchi, ad²hi, acj, ab²cj, acgj, abchj, adhj, abgh²j, ach³j, bfij, ab²hij, afghij, bh²ij, abfh³ij, bh⁴ij, j², aej², abfj², h²j², afh²j², h⁴j², afh⁴j², abh⁵j², afik, bf²ik, bhik, ajk, ab²jk, abhjk}

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

Monoid Structure