Details Page for 0.7303

Complete Solution is Known:

MSV File: q-0.7303.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₄(0.7303):

Q = <a,b,c,d,e,f,g,h,i | a²=1, b³=b, c²=1, b²d=d, d⁶=ad⁵, d⁵e=abd⁵, d⁴e⁴=d⁴e², e⁵=e³, b²f=f, d⁵f²=d⁵, d⁴e²f²=d⁴e², e³f²=b²e³, ef³=ef, f⁵=f³, d⁵g²=d⁵, d⁴eg²=d⁴e, e²g²=e², g³=g, d⁵h=bd⁵, d⁴e²h=ad⁴e³, e³h=ae⁴, h²=1, b²i=i, d⁵i=d⁵, i²=b²>

P = {a, b², ac, bd, d², ad³, d⁴, ad⁵, e, ce, ab²ce, abcde, acd²e, bd³e, abd⁴e, ae², b²e², ace², bde², d²e², ad³e², d⁴e², e³, ce³, ab²ce³, abcde³, acd²e³, bd³e³, abd⁴e³, ae⁴, b²e⁴, ace⁴, bde⁴, d²e⁴, ad³e⁴, abf, adf, abd²f, cd³f, acd⁴f, cd⁵f, bcef, cdef, bcd²ef, abcd³ef, bcd⁴ef, abe²f, ade²f, abd²e²f, cd³e²f, acd⁴e²f, bce³f, cde³f, bcd²e³f, abcd³e³f, bcd⁴e³f, abe⁴f, ade⁴f, abd²e⁴f, cd³e⁴f, f², bdf², d²f², ad³f², d⁴f², acef², abcdef², acd²ef², bd³ef², abd⁴ef², e²f², bde²f², d²e²f², ad³e²f², abf³, adf³, abd²f³, cd³f³, acd⁴f³, f⁴, bdf⁴, d²f⁴, ad³f⁴, d⁴f⁴, g, ab²g, cg, abdg, ad²g, abcd³g, bcd⁴g, abcd⁵g, aeg, aceg, b²ceg, bcdeg, cd²eg, acd⁴eg, e²g, ab²e²g, ce²g, abde²g, ad²e²g, abcd³e²g, bcd⁴e²g, ae³g, ace³g, b²ce³g, bcde³g, cd²e³g, acd⁴e³g, e⁴g, ab²e⁴g, ce⁴g, abde⁴g, ad²e⁴g, abcd³e⁴g, bfg, dfg, bd²fg, d³fg, ad⁴fg, d⁵fg, abcefg, acdefg, abcd²efg, bd⁴efg, be²fg, de²fg, bd²e²fg, d³e²fg, ad⁴e²fg, abce³fg, acde³fg, abcd²e³fg, bd⁴e³fg, be⁴fg, de⁴fg, bd²e⁴fg, d³e⁴fg, af²g, abdf²g, ad²f²g, abcd³f²g, bcd⁴f²g, cef²g, bcdef²g, cd²ef²g, acd⁴ef²g, ae²f²g, abde²f²g, ad²e²f²g, abcd³e²f²g, bf³g, df³g, bd²f³g, d³f³g, ad⁴f³g, af⁴g, abdf⁴g, ad²f⁴g, abcd³f⁴g, bcd⁴f⁴g, ag², b²g², acg², bdg², d²g², ad³g², d⁴g², eg², ceg², ab²ceg², abcdeg², acd²eg², bd³eg², abfg², adfg², abd²fg², cd³fg², acd⁴fg², bcefg², cdefg², bcd²efg², abcd³efg², f²g², bdf²g², d²f²g², ad³f²g², d⁴f²g², acef²g², abcdef²g², acd²ef²g², bd³ef²g², abf³g², adf³g², abd²f³g², cd³f³g², acd⁴f³g², f⁴g², bdf⁴g², d²f⁴g², ad³f⁴g², d⁴f⁴g², ah, ach, b²ch, bcdh, cd²h, abd³h, bd⁴h, eh, ab²eh, ceh, abdeh, ad²eh, d³eh, ad⁴eh, ae²h, ace²h, b²ce²h, bcde²h, cd²e²h, abd³e²h, abcfh, acdfh, abcd²fh, bcd³fh, abcd⁴fh, befh, defh, bd²efh, acd³efh, cd⁴efh, abce²fh, acde²fh, abcd²e²fh, bcd³e²fh, cf²h, bcdf²h, cd²f²h, abd³f²h, bd⁴f²h, aef²h, abdef²h, ad²ef²h, d³ef²h, ad⁴ef²h, ce²f²h, bcde²f²h, cd²e²f²h, abd³e²f²h, abcf³h, acdf³h, abcd²f³h, bcd³f³h, abcd⁴f³h, cf⁴h, bcdf⁴h, cd²f⁴h, abd³f⁴h, bd⁴f⁴h, gh, cgh, ab²cgh, abcdgh, acd²gh, cd⁴gh, aegh, b²egh, acegh, bdegh, d²egh, bcd³egh, abcd⁴egh, e²gh, ce²gh, ab²ce²gh, abcde²gh, acd²e²gh, bcfgh, cdfgh, bcd²fgh, abd⁴fgh, abefgh, adefgh, abd²efgh, ad³efgh, d⁴efgh, bce²fgh, cde²fgh, bcd²e²fgh, acf²gh, abcdf²gh, acd²f²gh, cd⁴f²gh, ef²gh, bdef²gh, d²ef²gh, bcd³ef²gh, abcd⁴ef²gh, ace²f²gh, abcde²f²gh, acd²e²f²gh, bcf³gh, cdf³gh, bcd²f³gh, abd⁴f³gh, acf⁴gh, abcdf⁴gh, acd²f⁴gh, cd⁴f⁴gh, ag²h, acg²h, b²cg²h, bcdg²h, cd²g²h, abd³g²h, bd⁴g²h, eg²h, ab²eg²h, ceg²h, abdeg²h, ad²eg²h, d³eg²h, abcfg²h, acdfg²h, abcd²fg²h, bcd³fg²h, abcd⁴fg²h, befg²h, defg²h, bd²efg²h, acd³efg²h, cf²g²h, bcdf²g²h, cd²f²g²h, abd³f²g²h, bd⁴f²g²h, aef²g²h, abdef²g²h, ad²ef²g²h, d³ef²g²h, abcf³g²h, acdf³g²h, abcd²f³g²h, bcd³f³g²h, abcd⁴f³g²h, cf⁴g²h, bcdf⁴g²h, cd²f⁴g²h, abd³f⁴g²h, bd⁴f⁴g²h, abi, adi, abd²i, ad³i, d⁴i, bcei, cdei, bcd²ei, cd³ei, abd⁴ei, abe²i, ade²i, abd²e²i, ad³e²i, d⁴e²i, bce³i, cde³i, bcd²e³i, cd³e³i, abd⁴e³i, abe⁴i, ade⁴i, abd²e⁴i, ad³e⁴i, fi, bdfi, d²fi, bd³fi, acd⁴fi, acefi, abcdefi, acd²efi, abcd³efi, bcd⁴efi, e²fi, bde²fi, d²e²fi, bd³e²fi, acd⁴e²fi, ace³fi, abcde³fi, acd²e³fi, abcd³e³fi, bcd⁴e³fi, e⁴fi, bde⁴fi, d²e⁴fi, bd³e⁴fi, abf²i, adf²i, abd²f²i, ad³f²i, d⁴f²i, bcef²i, cdef²i, bcd²ef²i, cd³ef²i, abd⁴ef²i, abe²f²i, ade²f²i, abd²e²f²i, ad³e²f²i, f³i, bdf³i, d²f³i, bd³f³i, acd⁴f³i, abf⁴i, adf⁴i, abd²f⁴i, ad³f⁴i, d⁴f⁴i, bgi, dgi, bd²gi, cd³gi, bcd⁴gi, abcegi, acdegi, abcd²egi, ad³egi, be²gi, de²gi, bd²e²gi, cd³e²gi, bcd⁴e²gi, abce³gi, acde³gi, abcd²e³gi, ad³e³gi, be⁴gi, de⁴gi, bd²e⁴gi, cd³e⁴gi, afgi, abdfgi, ad²fgi, abd³fgi, ad⁴fgi, cefgi, bcdefgi, cd²efgi, bd⁴efgi, ae²fgi, abde²fgi, ad²e²fgi, abcd³e²fgi, ad⁴e²fgi, ce³fgi, bcde³fgi, cd²e³fgi, bd³e³fgi, ae⁴fgi, abde⁴fgi, ad²e⁴fgi, abcd³e⁴fgi, bf²gi, df²gi, bd²f²gi, cd³f²gi, bcd⁴f²gi, abcef²gi, acdef²gi, abcd²ef²gi, acd⁴ef²gi, be²f²gi, de²f²gi, bd²e²f²gi, af³gi, abdf³gi, ad²f³gi, abd³f³gi, ad⁴f³gi, bf⁴gi, df⁴gi, bd²f⁴gi, cd³f⁴gi, bcd⁴f⁴gi, abg²i, adg²i, abd²g²i, ad³g²i, d⁴g²i, bceg²i, cdeg²i, bcd²eg²i, cd³eg²i, fg²i, bdfg²i, d²fg²i, bd³fg²i, acd⁴fg²i, acefg²i, abcdefg²i, acd²efg²i, abcd³efg²i, abf²g²i, adf²g²i, abd²f²g²i, ad³f²g²i, d⁴f²g²i, bcef²g²i, cdef²g²i, bcd²ef²g²i, f³g²i, bdf³g²i, d²f³g²i, bd³f³g²i, acd⁴f³g²i, abf⁴g²i, adf⁴g²i, abd²f⁴g²i, ad³f⁴g²i, d⁴f⁴g²i, abchi, acdhi, abcd²hi, acd³hi, bd⁴hi, behi, dehi, bd²ehi, d³ehi, ad⁴ehi, abce²hi, acde²hi, abcd²e²hi, acd³e²hi, cfhi, bcdfhi, cd²fhi, bcd³fhi, abcd⁴fhi, aefhi, abdefhi, ad²efhi, abd³efhi, cd⁴efhi, ce²fhi, bcde²fhi, cd²e²fhi, bcd³e²fhi, abcf²hi, acdf²hi, abcd²f²hi, acd³f²hi, bd⁴f²hi, bef²hi, def²hi, bd²ef²hi, d³ef²hi, ad⁴ef²hi, abce²f²hi, acde²f²hi, abcd²e²f²hi, acd³e²f²hi, cf³hi, bcdf³hi, cd²f³hi, bcd³f³hi, abcd⁴f³hi, abcf⁴hi, acdf⁴hi, abcd²f⁴hi, acd³f⁴hi, bd⁴f⁴hi, bcghi, cdghi, bcd²ghi, d³ghi, abeghi, adeghi, abd²eghi, acd³eghi, abcd⁴eghi, bce²ghi, cde²ghi, bcd²e²ghi, d³e²ghi, acfghi, abcdfghi, acd²fghi, abd⁴fghi, efghi, bdefghi, d²efghi, d⁴efghi, ace²fghi, abcde²fghi, acd²e²fghi, abd³e²fghi, bcf²ghi, cdf²ghi, bcd²f²ghi, cd⁴f²ghi, abef²ghi, adef²ghi, abd²ef²ghi, abcd⁴ef²ghi, bce²f²ghi, cde²f²ghi, bcd²e²f²ghi, d³e²f²ghi, acf³ghi, abcdf³ghi, acd²f³ghi, abd⁴f³ghi, bcf⁴ghi, cdf⁴ghi, bcd²f⁴ghi, cd⁴f⁴ghi, abcg²hi, acdg²hi, abcd²g²hi, acd³g²hi, bd⁴g²hi, beg²hi, deg²hi, bd²eg²hi, d³eg²hi, cfg²hi, bcdfg²hi, cd²fg²hi, bcd³fg²hi, abcd⁴fg²hi, aefg²hi, abdefg²hi, ad²efg²hi, abd³efg²hi, abcf²g²hi, acdf²g²hi, abcd²f²g²hi, bd⁴f²g²hi, bef²g²hi, def²g²hi, bd²ef²g²hi, d³ef²g²hi, cf³g²hi, bcdf³g²hi, cd²f³g²hi, acd³f³g²hi, abcd⁴f³g²hi, abcf⁴g²hi, acdf⁴g²hi, abcd²f⁴g²hi, bcd³f⁴g²hi}

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

Monoid Structure