Details Page for 0.3732

Complete Solution is Known:

MSV File: q-0.3732.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₀(0.3732):

Q = <a,b,c,d,e,f,g,h | a²=1, b⁴=b², b²c²=b², bc³=bc, c⁴=c², b²d=ab², c³d=cd, c²d²=d², d³=ab², b²e=b³, bc²e=be, c³e=ce, e⁶=e⁴, b²f=ab³, bc²f=bf, c³f=cf, bd²f=ab², bef=ab³, d²e²f=abd²e², f²=b², c³g=cg, bd²g=b³g, bdeg=ab²g, d²e³g=b³g, be⁴g=be²g, e⁵g=e³g, d²fg=ab³g, c²defg=defg, e⁴fg=e²fg, b³g²=bg², c²g²=g², dg²=ab²g², beg²=b²g², bfg²=ab²g², bg³=bcg², e⁴g³=e²g³, g⁴=b²g², bc²dh=bdh, bc²gh=bgh, bdgh=ab³gh, bfgh=ab²gh, c²efgh=efgh, de²fgh=b³gh, bg²h=abcg², fg²h=bcg², g³h=ab²g², c²fh²=fh², cde³gh²=abce²gh², c²e²h³=e²h³, de⁴fh³=abde⁴h³, de³gh³=abe²gh³, dfgh³=b³gh³, b²h⁴=b²g², d²fh⁴=abd²h⁴, e²fgh⁴=abcg², g²h⁴=bd²eh⁴, c²eh⁵=eh⁵, bd²e²h⁵=abgh⁴, bfh⁵=b²cg², be²gh⁵=abd²e⁴h⁴, efgh⁵=bdfh⁴, c²dh⁶=dh⁶, e⁴h⁶=e⁴h⁴, c²gh⁶=gh⁶, d²egh⁶=afgh⁴, e³gh⁶=e³gh⁴, fgh⁶=abcg², c²h⁸=h⁸, dgh⁸=bd²eh⁷, bgh⁹=bgh⁷, bh¹⁰=bh⁸, d²h¹⁰=d²h⁸, e³h¹⁰=e³h⁸, fh¹⁰=fh⁸, dh¹¹=dh⁹, h¹²=h¹⁰>

P = {a, b², c², acd, d², e, bce, abde, bd²e, ae², c²e², acde², d²e², e³, bce³, abde³, bd²e³, ae⁴, c²e⁴, acde⁴, d²e⁴, e⁵, bce⁵, abde⁵, bd²e⁵, bf, cef, ad²ef, ce³f, ce⁵f, abg, b²cg, ac²g, bdg, cd²g, deg, ac²e²g, cd²e²g, de³g, ac²e⁴g, afg, bcfg, c²dfg, ae³fg, c²e³fg, g², b²g², e²g², e⁴g², aefg², ace³fg², cg³, ce²g³, acefg³, ch, ab²ch, c³h, adh, ac²dh, beh, acd²eh, ce²h, ade²h, ac²de²h, be³h, acd²e³h, ce⁴h, ade⁴h, ac²de⁴h, be⁵h, acd²e⁵h, abcfh, efh, c²efh, e³fh, ac²e³fh, c²de³fh, e⁵fh, ac²e⁵fh, c²de⁵fh, abgh, ab³gh, aegh, degh, c²degh, ad²egh, abe²gh, de³gh, ac²fgh, adfgh, acg²h, ace²g²h, ace⁴g²h, h², b²h², c²h², acdh², d²h², bceh², abdeh², bd²eh², e²h², c²e²h², acde²h², d²e²h², bce³h², abde³h², bd²e³h², e⁴h², c²e⁴h², acde⁴h², d²e⁴h², bce⁵h², abde⁵h², bd²e⁵h², bfh², cefh², ad²efh², ce³fh², ce⁵fh², b²cgh², cd²gh², ae²gh², ac²e²gh², cd²e²gh², de³gh², ae⁴gh², ac²e⁴gh², efgh², ace³fgh², g²h², e²g²h², e⁴g²h², ah³, ab²ch³, ac²h³, cdh³, acd²h³, beh³, abcd²eh³, ce²h³, ade²h³, be³h³, acd²e³h³, ce⁴h³, ade⁴h³, be⁵h³, acd²e⁵h³, bcfh³, abcdfh³, aefh³, defh³, e³fh³, e⁵fh³, abgh³, ab³gh³, acdegh³, abe²gh³, acg²h³, ace²g²h³, ace⁴g²h³, h⁴, c²h⁴, adh⁴, ac²dh⁴, d²h⁴, bceh⁴, abdeh⁴, bd²eh⁴, e²h⁴, acde²h⁴, d²e²h⁴, bce³h⁴, abde³h⁴, bd²e³h⁴, e⁴h⁴, acde⁴h⁴, d²e⁴h⁴, bce⁵h⁴, abde⁵h⁴, bd²e⁵h⁴, bfh⁴, cefh⁴, ae³fh⁴, de³fh⁴, ae⁵fh⁴, cgh⁴, cd²gh⁴, degh⁴, ae²gh⁴, cd²e²gh⁴, ae⁴gh⁴, acefgh⁴, ach⁵, ac³h⁵, cdh⁵, acd²h⁵, beh⁵, abcd²eh⁵, ce²h⁵, ade²h⁵, be³h⁵, acd²e³h⁵, ce⁴h⁵, ade⁴h⁵, be⁵h⁵, acd²e⁵h⁵, efh⁵, acdefh⁵, agh⁵, ac²gh⁵, c²dgh⁵, ad²gh⁵, abegh⁵, ace²gh⁵, de²gh⁵, ad²e²gh⁵, ace⁴gh⁵, h⁶, c²h⁶, adh⁶, d²h⁶, bceh⁶, abdeh⁶, bd²eh⁶, e²h⁶, acde²h⁶, d²e²h⁶, bce³h⁶, abde³h⁶, aefh⁶, defh⁶, ae³fh⁶, de³fh⁶, cgh⁶, acdgh⁶, cd²gh⁶, ae²gh⁶, bh⁷, ac³h⁷, cdh⁷, acd²h⁷, abceh⁷, bcdeh⁷, abcd²eh⁷, ade²h⁷, be³h⁷, acd²e³h⁷, cefh⁷, acdefh⁷, agh⁷, dgh⁷, ad²gh⁷, abegh⁷, ce²gh⁷, acde²gh⁷, h⁸, adh⁸, d²h⁸, beh⁸, abdeh⁸, bd²eh⁸, e²h⁸, d²e²h⁸, bce³h⁸, abde³h⁸, aefh⁸, defh⁸, ae³fh⁸, de³fh⁸, cgh⁸, bcegh⁸, ae²gh⁸, ach⁹, cdh⁹, acd²h⁹, abceh⁹, bcdeh⁹, abcd²eh⁹, ace²h⁹, cde²h⁹, acd²e²h⁹, be³h⁹, cefh⁹, acdefh⁹, acde³fh⁹, agh⁹, h¹⁰, adh¹⁰, e²h¹⁰, ade²h¹⁰, cgh¹⁰, ce²gh¹⁰, ach¹¹, ace²h¹¹, agh¹¹, ae²gh¹¹}

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

Monoid Structure