Details Page for 0.3354

Complete Solution is Known:

MSV File: q-0.3354.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₂(0.3354):

Q = <a,b,c,d,e,f,g,h | a²=1, b³=b, b²c=c, c⁴=ac³, c³d=bc³, b²d²=d², cd²=abc²d, d⁴=ac³, c³e=ac²e, b²de=de, cde=abc²e, d²e=c²e, b²e²=e², c²e²=ac³, de²=abce², ce³=abde, e⁴=e², b²f=f, c³f=c²e, c²ef=c³, def=bce², e²f=ae³, f²=aef, b²g=g, c³g=ac²e, c²eg=ac³, deg²=bc²e, e²g²=ace², ceg⁴=ceg², g⁶=g⁴, b²h=h, c³h=abc³, c²eh=abc²e, d³g⁴h=abceg³h, ceh²=ac²e, deh²=bc²e, e²h²=ac³, efh²=c³, c²dg²h²=abd³g²h, eg²h²=c²e, d³h³=abd³h², c²g⁴h³=bc³, cdg⁴h³=bceg³h, d²g⁴h³=bc³, c²h⁴=abc²h³, d²h⁴=abd²h³, eh⁴=c²e, cdg²h⁴=d²g²h³, cg⁴h⁴=abd³g⁴, dg⁴h⁴=ceg³h, cdh⁵=abcdh⁴, dh⁶=abdh⁵, g⁴h⁶=bceg³h, ch⁷=abch⁶, h⁸=abh⁷>

P = {a, b², bc, c², ac³, ab²d, abcd, bc²d, d², bd³, ae, e², ace², aef, cef, bg, cg, abdg, aceg, bdeg, e³g, ac²fg, cdfg, ad²fg, d³fg, g², bcg², c²g², adg², abcdg², bc²dg², d²g², bd³g², aefg², cefg², bg³, cg³, abdg³, aceg³, ac²fg³, cdfg³, ad²fg³, d³fg³, g⁴, bcg⁴, c²g⁴, adg⁴, abcdg⁴, bc²dg⁴, d²g⁴, bd³g⁴, aefg⁴, bg⁵, cg⁵, abdg⁵, ac²fg⁵, cdfg⁵, ad²fg⁵, d³fg⁵, abc²h, cdh, ac²dh, abd²h, ad³h, eh, bceh, adeh, abe³h, afh, cfh, abdfh, abe²gh, bc²fgh, adfgh, abcdfgh, befgh, abc²g²h, cdg²h, ac²dg²h, abd²g²h, ad³g²h, eg²h, afg²h, abcfg²h, bceg³h, abfg³h, bc²fg³h, abcdfg³h, abc²g⁴h, cdg⁴h, ac²dg⁴h, abd²g⁴h, afg⁴h, abcfg⁴h, abeg⁵h, bc²fg⁵h, abcdfg⁵h, h², ach², c²h², bdh², abcdh², bc²dh², d²h², bd³h², abegh², ac²fgh², cdfgh², ad²fgh², abd³fgh², g²h², acg²h², c²g²h², bdg²h², abcdg²h², d²g²h², bd³g²h², ac²fg³h², adfg³h², cdfg³h², abd²fg³h², g⁴h², acg⁴h², c²g⁴h², bdg⁴h², abcdg⁴h², d²g⁴h², bfg⁵h², ac²fg⁵h², cdfg⁵h², ad²fg⁵h², abh³, bch³, abc²h³, adh³, cdh³, ac²dh³, abd²h³, fgh³, bc²fgh³, abcdfgh³, bd²fgh³, abg²h³, bcg²h³, abc²g²h³, adg²h³, cdg²h³, abd²g²h³, fg³h³, bc²fg³h³, bdfg³h³, abcdfg³h³, d²fg³h³, abg⁴h³, bcg⁴h³, adg⁴h³, afg⁵h³, cfg⁵h³, h⁴, ach⁴, bdh⁴, abcdh⁴, abfgh⁴, cdfgh⁴, g²h⁴, acg²h⁴, bdg²h⁴, abfg³h⁴, adfg³h⁴, g⁴h⁴, bfg⁵h⁴, abh⁵, bch⁵, adh⁵, fgh⁵, abg²h⁵, bcg²h⁵, adg²h⁵, fg³h⁵, bdfg³h⁵, abg⁴h⁵, afg⁵h⁵, h⁶, ach⁶, abfgh⁶, g²h⁶, acg²h⁶, abfg³h⁶, abh⁷, fgh⁷, abg²h⁷, fg³h⁷}

Phi = 1 a b ab b² c d e ab f ab² g h

Monoid Structure