Details Page for 0.2206

Complete Solution is Known:

MSV File: q-0.2206.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₈(0.2206):

Q = <a,b,c,d,e,f,g,h | a²=1, b⁴=b², b²c=ab³, c²=1, d²=1, b³e=be, bce=ab²e, b²e²=e², ce²=abe², e⁵=e⁴, b³f=bf, bcf=ab²f, b²ef=ef, cef=abef, b²f²=f², cf²=abf², e³f³=e²f³, f⁵=af⁴, b³g=bg, bcg=ab²g, b²eg=eg, ceg=abeg, e⁴g=be⁴, b²fg=fg, cfg=abfg, e²f³g=be²f³, b²g²=g², cg²=abg², ef³g²=ef³, f⁴g²=f⁴, f³g⁵=f³g³, g⁷=g⁵, b²h=h, ch=abh, e²f⁴h=abe²f⁴, ef³gh²=bef³h², f⁴gh²=bf⁴h², f⁴h³=abf⁴h², e⁴f²h⁴=e⁴f²h², e²f³h⁴=e²f³h², e⁴h⁵=e⁴h³, ef³h⁵=ef³h³, f³g²h⁶=f³h⁶, e³h⁸=e³h⁶, f²h⁸=f²h⁶, h⁹=h⁷>

P = {a, b², ac, d, cd, be, e², e³, e⁴, bf, ef, ae²f, ae³f, ae⁴f, f², aef², e²f², e³f², e⁴f², af³, ef³, ae²f³, f⁴, aef⁴, e²f⁴, bg, eg, be²g, be³g, fg, aefg, abe²fg, abe³fg, af²g, ef²g, be²f²g, be³f²g, f³g, aef³g, af⁴g, ef⁴g, g², aeg², e²g², e³g², afg², efg², ae²fg², ae³fg², f²g², aef²g², e²f²g², e³f²g², af³g², ag³, eg³, be²g³, be³g³, fg³, aefg³, abe²fg³, abe³fg³, af²g³, ef²g³, be²f²g³, be³f²g³, f³g³, g⁴, aeg⁴, e²g⁴, e³g⁴, afg⁴, efg⁴, ae²fg⁴, ae³fg⁴, f²g⁴, aef²g⁴, e²f²g⁴, e³f²g⁴, af³g⁴, ag⁵, eg⁵, be²g⁵, be³g⁵, fg⁵, aefg⁵, abe²fg⁵, abe³fg⁵, af²g⁵, ef²g⁵, be²f²g⁵, be³f²g⁵, g⁶, aeg⁶, e²g⁶, e³g⁶, afg⁶, efg⁶, ae²fg⁶, ae³fg⁶, f²g⁶, aef²g⁶, e²f²g⁶, e³f²g⁶, ah, aeh, abe²h, abe³h, abe⁴h, abfh, bdefh, de²fh, be³fh, be⁴fh, bdf²h, def²h, abe²f²h, abe³f²h, abe⁴f²h, df³h, adef³h, be²f³h, adf⁴h, def⁴h, abgh, abegh, ae²gh, ae³gh, bdfgh, defgh, bde²fgh, e³fgh, df²gh, abef²gh, ae²f²gh, ae³f²gh, adf³gh, bef³gh, df⁴gh, abef⁴gh, bdg²h, deg²h, abe²g²h, abe³g²h, dfg²h, adefg²h, de²fg²h, be³fg²h, adf²g²h, def²g²h, abe²f²g²h, abe³f²g²h, df³g²h, dg³h, abeg³h, ae²g³h, ae³g³h, adfg³h, befg³h, e³fg³h, df²g³h, abef²g³h, ae²f²g³h, ae³f²g³h, adf³g³h, adg⁴h, deg⁴h, abe²g⁴h, abe³g⁴h, dfg⁴h, adefg⁴h, be²fg⁴h, be³fg⁴h, adf²g⁴h, def²g⁴h, abe²f²g⁴h, abe³f²g⁴h, df³g⁴h, dg⁵h, abeg⁵h, ae²g⁵h, ae³g⁵h, adfg⁵h, befg⁵h, e²fg⁵h, e³fg⁵h, df²g⁵h, abef²g⁵h, ae²f²g⁵h, ae³f²g⁵h, adg⁶h, deg⁶h, abe²g⁶h, abe³g⁶h, dfg⁶h, adefg⁶h, be²fg⁶h, be³fg⁶h, adf²g⁶h, def²g⁶h, abe²f²g⁶h, abe³f²g⁶h, h², eh², e²h², e³h², e⁴h², bfh², adefh², be²fh², ade³fh², ade⁴fh², f²h², bef²h², e²f²h², e³f²h², e⁴f²h², af³h², abef³h², ae²f³h², f⁴h², bef⁴h², bgh², begh², be²gh², be³gh², fgh², abdefgh², e²fgh², abde³fgh², bf²gh², ef²gh², be²f²gh², be³f²gh², abf³gh², g²h², abdeg²h², e²g²h², e³g²h², afg²h², efg²h², ae²fg²h², f²g²h², bef²g²h², e²f²g²h², e³f²g²h², af³g²h², bg³h², eg³h², be²g³h², be³g³h², abfg³h², aefg³h², e²fg³h², ade³fg³h², bf²g³h², ef²g³h², be²f²g³h², be³f²g³h², abf³g³h², g⁴h², beg⁴h², e²g⁴h², e³g⁴h², afg⁴h², abefg⁴h², ae²fg⁴h², abde³fg⁴h², f²g⁴h², bef²g⁴h², e²f²g⁴h², e³f²g⁴h², af³g⁴h², bg⁵h², eg⁵h², be²g⁵h², be³g⁵h², abfg⁵h², aefg⁵h², abe²fg⁵h², ade³fg⁵h², bf²g⁵h², ef²g⁵h², be²f²g⁵h², be³f²g⁵h², g⁶h², beg⁶h², e²g⁶h², e³g⁶h², afg⁶h², abefg⁶h², ae²fg⁶h², abde³fg⁶h², f²g⁶h², bef²g⁶h², e²f²g⁶h², e³f²g⁶h², ah³, aeh³, ae²h³, ae³h³, ae⁴h³, abfh³, abefh³, abe²fh³, abe³fh³, abe⁴fh³, bdf²h³, aef²h³, bde²f²h³, bde³f²h³, bde⁴f²h³, df³h³, def³h³, de²f³h³, abgh³, abegh³, abe²gh³, abe³gh³, bdfgh³, aefgh³, bde²fgh³, ae³fgh³, af²gh³, abef²gh³, ae²f²gh³, de³f²gh³, bdf³gh³, bdg²h³, aeg²h³, bde²g²h³, ae³g²h³, dfg²h³, bdefg²h³, de²fg²h³, abe³fg²h³, abf²g²h³, aef²g²h³, abe²f²g²h³, bde³f²g²h³, df³g²h³, ag³h³, abeg³h³, ae²g³h³, abe³g³h³, bdfg³h³, defg³h³, abe²fg³h³, de³fg³h³, af²g³h³, abef²g³h³, ae²f²g³h³, ae³f²g³h³, bdf³g³h³, abg⁴h³, aeg⁴h³, abe²g⁴h³, ae³g⁴h³, dfg⁴h³, bdefg⁴h³, de²fg⁴h³, bde³fg⁴h³, abf²g⁴h³, aef²g⁴h³, abe²f²g⁴h³, abe³f²g⁴h³, df³g⁴h³, ag⁵h³, abeg⁵h³, ae²g⁵h³, abe³g⁵h³, bdfg⁵h³, defg⁵h³, bde²fg⁵h³, de³fg⁵h³, af²g⁵h³, abef²g⁵h³, ae²f²g⁵h³, ae³f²g⁵h³, abg⁶h³, aeg⁶h³, abe²g⁶h³, ae³g⁶h³, dfg⁶h³, bdefg⁶h³, de²fg⁶h³, bde³fg⁶h³, abf²g⁶h³, aef²g⁶h³, abe²f²g⁶h³, abe³f²g⁶h³, h⁴, eh⁴, e²h⁴, e³h⁴, e⁴h⁴, bfh⁴, befh⁴, be²fh⁴, be³fh⁴, be⁴fh⁴, f²h⁴, ef²h⁴, e²f²h⁴, e³f²h⁴, af³h⁴, abdef³h⁴, bgh⁴, begh⁴, be²gh⁴, be³gh⁴, fgh⁴, efgh⁴, e²fgh⁴, e³fgh⁴, bf²gh⁴, bef²gh⁴, be²f²gh⁴, be³f²gh⁴, f³gh⁴, g²h⁴, eg²h⁴, e²g²h⁴, e³g²h⁴, bfg²h⁴, adefg²h⁴, be²fg²h⁴, be³fg²h⁴, f²g²h⁴, ef²g²h⁴, e²f²g²h⁴, e³f²g²h⁴, af³g²h⁴, bg³h⁴, beg³h⁴, be²g³h⁴, be³g³h⁴, fg³h⁴, abdefg³h⁴, e²fg³h⁴, ade³fg³h⁴, bf²g³h⁴, bef²g³h⁴, be²f²g³h⁴, be³f²g³h⁴, f³g³h⁴, g⁴h⁴, eg⁴h⁴, e²g⁴h⁴, e³g⁴h⁴, afg⁴h⁴, ae²fg⁴h⁴, abde³fg⁴h⁴, f²g⁴h⁴, ef²g⁴h⁴, e²f²g⁴h⁴, e³f²g⁴h⁴, af³g⁴h⁴, bg⁵h⁴, beg⁵h⁴, be²g⁵h⁴, be³g⁵h⁴, fg⁵h⁴, adefg⁵h⁴, e²fg⁵h⁴, ade³fg⁵h⁴, bf²g⁵h⁴, bef²g⁵h⁴, be²f²g⁵h⁴, be³f²g⁵h⁴, g⁶h⁴, eg⁶h⁴, e²g⁶h⁴, e³g⁶h⁴, afg⁶h⁴, abdefg⁶h⁴, ae²fg⁶h⁴, abde³fg⁶h⁴, f²g⁶h⁴, ef²g⁶h⁴, e²f²g⁶h⁴, e³f²g⁶h⁴, ah⁵, aeh⁵, ae²h⁵, ae³h⁵, abfh⁵, abefh⁵, abe²fh⁵, abe³fh⁵, bdf²h⁵, aef²h⁵, bde²f²h⁵, bde³f²h⁵, df³h⁵, abgh⁵, abegh⁵, abe²gh⁵, abe³gh⁵, afgh⁵, aefgh⁵, ae²fgh⁵, ae³fgh⁵, abf²gh⁵, abef²gh⁵, de²f²gh⁵, de³f²gh⁵, bdf³gh⁵, ag²h⁵, aeg²h⁵, ae²g²h⁵, ae³g²h⁵, abfg²h⁵, abefg²h⁵, abe²fg²h⁵, abe³fg²h⁵, bdf²g²h⁵, aef²g²h⁵, bde²f²g²h⁵, bde³f²g²h⁵, df³g²h⁵, abg³h⁵, abeg³h⁵, abe²g³h⁵, abe³g³h⁵, bdfg³h⁵, aefg³h⁵, bde²fg³h⁵, de³fg³h⁵, af²g³h⁵, abef²g³h⁵, ae²f²g³h⁵, ae³f²g³h⁵, abf³g³h⁵, bdg⁴h⁵, aeg⁴h⁵, bde²g⁴h⁵, ae³g⁴h⁵, dfg⁴h⁵, defg⁴h⁵, de²fg⁴h⁵, bde³fg⁴h⁵, abf²g⁴h⁵, aef²g⁴h⁵, abe²f²g⁴h⁵, abe³f²g⁴h⁵, bf³g⁴h⁵, ag⁵h⁵, abeg⁵h⁵, ae²g⁵h⁵, abe³g⁵h⁵, abfg⁵h⁵, bdefg⁵h⁵, abe²fg⁵h⁵, de³fg⁵h⁵, af²g⁵h⁵, abef²g⁵h⁵, ae²f²g⁵h⁵, ae³f²g⁵h⁵, abg⁶h⁵, aeg⁶h⁵, abe²g⁶h⁵, ae³g⁶h⁵, bfg⁶h⁵, defg⁶h⁵, be²fg⁶h⁵, abf²g⁶h⁵, aef²g⁶h⁵, abe²f²g⁶h⁵, abe³f²g⁶h⁵, h⁶, eh⁶, e²h⁶, e³h⁶, bfh⁶, befh⁶, be²fh⁶, be³fh⁶, f²h⁶, ef²h⁶, e²f²h⁶, e³f²h⁶, af³h⁶, bgh⁶, begh⁶, be²gh⁶, be³gh⁶, fgh⁶, efgh⁶, e²fgh⁶, e³fgh⁶, bf²gh⁶, bef²gh⁶, be²f²gh⁶, be³f²gh⁶, f³gh⁶, g²h⁶, eg²h⁶, e²g²h⁶, e³g²h⁶, bfg²h⁶, befg²h⁶, be²fg²h⁶, be³fg²h⁶, f²g²h⁶, ef²g²h⁶, e²f²g²h⁶, e³f²g²h⁶, bg³h⁶, beg³h⁶, be²g³h⁶, be³g³h⁶, fg³h⁶, efg³h⁶, e²fg³h⁶, ade³fg³h⁶, bf²g³h⁶, bef²g³h⁶, be²f²g³h⁶, be³f²g³h⁶, g⁴h⁶, eg⁴h⁶, e²g⁴h⁶, e³g⁴h⁶, bfg⁴h⁶, befg⁴h⁶, be²fg⁴h⁶, abde³fg⁴h⁶, f²g⁴h⁶, ef²g⁴h⁶, e²f²g⁴h⁶, e³f²g⁴h⁶, bg⁵h⁶, beg⁵h⁶, be²g⁵h⁶, be³g⁵h⁶, fg⁵h⁶, efg⁵h⁶, e²fg⁵h⁶, ade³fg⁵h⁶, bf²g⁵h⁶, bef²g⁵h⁶, be²f²g⁵h⁶, be³f²g⁵h⁶, g⁶h⁶, eg⁶h⁶, e²g⁶h⁶, e³g⁶h⁶, adfg⁶h⁶, befg⁶h⁶, ade²fg⁶h⁶, be³fg⁶h⁶, f²g⁶h⁶, ef²g⁶h⁶, e²f²g⁶h⁶, e³f²g⁶h⁶, ah⁷, aeh⁷, ae²h⁷, ae³h⁷, abfh⁷, abefh⁷, abe²fh⁷, abe³fh⁷, bdf²h⁷, aef²h⁷, bde²f²h⁷, bde³f²h⁷, df³h⁷, abgh⁷, abegh⁷, abe²gh⁷, abe³gh⁷, afgh⁷, aefgh⁷, ae²fgh⁷, ae³fgh⁷, abf²gh⁷, abef²gh⁷, de²f²gh⁷, de³f²gh⁷, bdf³gh⁷, ag²h⁷, aeg²h⁷, ae²g²h⁷, ae³g²h⁷, abfg²h⁷, abefg²h⁷, abe²fg²h⁷, abe³fg²h⁷, bdf²g²h⁷, aef²g²h⁷, bde²f²g²h⁷, bde³f²g²h⁷, abg³h⁷, abeg³h⁷, abe²g³h⁷, abe³g³h⁷, afg³h⁷, aefg³h⁷, ae²fg³h⁷, de³fg³h⁷, abf²g³h⁷, abef²g³h⁷, de²f²g³h⁷, ae³f²g³h⁷, ag⁴h⁷, aeg⁴h⁷, ae²g⁴h⁷, ae³g⁴h⁷, abfg⁴h⁷, abefg⁴h⁷, abe²fg⁴h⁷, bde³fg⁴h⁷, bdf²g⁴h⁷, aef²g⁴h⁷, bde²f²g⁴h⁷, abe³f²g⁴h⁷, abg⁵h⁷, abeg⁵h⁷, abe²g⁵h⁷, abe³g⁵h⁷, afg⁵h⁷, aefg⁵h⁷, ae²fg⁵h⁷, de³fg⁵h⁷, abf²g⁵h⁷, abef²g⁵h⁷, de²f²g⁵h⁷, ae³f²g⁵h⁷, ag⁶h⁷, aeg⁶h⁷, ae²g⁶h⁷, ae³g⁶h⁷, abfg⁶h⁷, abefg⁶h⁷, abe²fg⁶h⁷, abe³fg⁶h⁷, bdf²g⁶h⁷, aef²g⁶h⁷, bde²f²g⁶h⁷, bde³f²g⁶h⁷, h⁸, eh⁸, e²h⁸, bfh⁸, befh⁸, be²fh⁸, bgh⁸, begh⁸, be²gh⁸, fgh⁸, efgh⁸, e²fgh⁸, g²h⁸, eg²h⁸, e²g²h⁸, bfg²h⁸, befg²h⁸, be²fg²h⁸, bg³h⁸, beg³h⁸, be²g³h⁸, fg³h⁸, efg³h⁸, e²fg³h⁸, g⁴h⁸, eg⁴h⁸, e²g⁴h⁸, bfg⁴h⁸, befg⁴h⁸, be²fg⁴h⁸, bg⁵h⁸, beg⁵h⁸, be²g⁵h⁸, fg⁵h⁸, efg⁵h⁸, e²fg⁵h⁸, g⁶h⁸, eg⁶h⁸, e²g⁶h⁸, bfg⁶h⁸, befg⁶h⁸, be²fg⁶h⁸}

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

Monoid Structure