Details Page for 0.3361

Complete Solution is Known:

MSV File: q-0.3361.msv

Growth Pattern:

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Details for Q₁₂(0.3361):

Q = <a,b,c,d,e,f,g,h | a²=1, b⁵=b³, c²=1, b⁴d=b²d, b²d²=d², d³=d², d²e=abd², b²de²=d², b²e⁴=d², bde⁴=bd², be⁵=ade⁴, de⁵=abe⁴, e⁶=e⁴, d²f=ad², b³e³f=b³def, e⁴f=ade⁴, b⁴f²=b²f², df²=d², b²e³f²=abd², f³=ad², d²g=bd², e⁴g=ae⁵, b²dfg=b²ef², b²ef²g=b²df, g²=1, d²h=d², b²deh=b⁴e³, b²e³h=b²e³, e⁴h=de⁴, b²dfh=b²df, f²h=b²f², dh²=dh, be³h²=be³h, fh²=fh, h³=h²>

P = {a, b², b⁴, ac, abd, ab³d, d², e, ce, ab²ce, ab⁴ce, bcde, b³cde, ae², b²e², b⁴e², ace², e³, ab³e³, ce³, abde³, ae⁴, ace⁴, e⁵, ce⁵, bf, b³f, adf, ab²df, abcef, ab³cef, cdef, b²cdef, be²f, b³e²f, ade²f, abce³f, bde³f, f², b²f², acef², ab²cef², e²f², b²e²f², ace³f², ag, acg, b²cg, b⁴cg, abcdg, ab³cdg, eg, ab²eg, ab⁴eg, ceg, ab²deg, ae²g, ace²g, b²ce²g, b⁴ce²g, bde²g, e³g, ab²e³g, ab⁴e³g, ce³g, bcfg, b³cfg, acdfg, abefg, ab³efg, defg, bce²fg, b³ce²fg, abde²fg, b²e³fg, de³fg, cf²g, b²cf²g, aef²g, ce²f²g, ae³f²g, abh, ab³h, dh, b²dh, bceh, b³ceh, abdeh, b²e²h, b⁴e²h, de²h, abe³h, abde³h, afh, ab²fh, ab⁴fh, adfh, cefh, b²cefh, b⁴cefh, cdefh, ae²fh, ab²e²fh, ab⁴e²fh, ade²fh, be³fh, bce³fh, abcgh, ab³cgh, bdgh, b³dgh, ab²egh, ab⁴egh, adegh, abce²gh, ab³ce²gh, bde²gh, ade³gh, acfgh, ab²cfgh, ab⁴cfgh, acdfgh, efgh, b²efgh, b⁴efgh, defgh, ace²fgh, ab²ce²fgh, ab⁴ce²fgh, abde²fgh, e³fgh, de³fgh, h², b²h², b⁴h², abeh², ab³eh², e²h², b²e²h², b⁴e²h², bgh², b³gh², aegh², ab²egh², ab⁴egh², be²gh², b³e²gh², ae³gh²}

Phi = 1 a b 1 ab a b c d e f g h

Monoid Structure