Details Page for 0.1705

Complete Solution is Known:

MSV File: q-0.1705.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₃(0.1705):

Q = <a,b,c,d,e,f,g,h,i,j,k | a²=1, b³=b, b²c²=c², c⁵=c³, bd=b²c, cd=bc², d²=c², c³e=c⁴, c²e³=c²e, e⁴=e², bf=ab²c, c²f=abc³, df=ac², ce³f=cef, f²=c², b²g=g, dg=bcg, fg=abcg, c³g²=c³, c²eg³=c³g, ce³g³=ceg³, ceg⁴=c⁴, c²g⁵=c⁴g, cg⁶=c³, eg⁶=eg⁴, g⁸=g⁶, b²ch=ch, c²h=ac², dh=bch, ceh=ab²ce, be²h=abe², cfh=bc², efh=de, e²gh=ae²g, cg³h=acg³, b²h²=h², e²h²=b²e², fh²=abch², ch³=ach², eh³=aeh², h⁴=ah³, b²i=i, c³i=ac⁴, di=bci, fi=abci, ehi=aei, cg²h²i=acg²hi, c²i²=c², cei²=b²ce, cg³i²=cg³, e³g⁴i²=eg⁴i², cg²hi²=acg²h², g⁴hi²=ag⁴i², ch²i²=ch², g²h²i²=ag²hi², h³i²=ah²i², ci³=ci, i⁴=i², c³j=abc⁴, dj=bcj, c²ej=abc⁴, ce²g²j=bc²eg²i, ceg³j=abc³g, b²hj=hj, e²hj=ab²e²j, fhj=abchj, chij=acij, ci²j=ch²j, e²g³i²j=bceg³i, eg⁴i²j=abc⁴, g²hi²j=ag²i²j, gh²i²j=aghi²j, b²j²=j², c²j²=c⁴, cej²=c⁴, fj²=abcj², cg³j²=abc²g³j, e²g³j²=e²gj², eg⁵j²=eg³j², ch²j²=abc²j, cij²=abc²ij, e²g²ij²=e²ij², ei²j²=c³, g⁵i²j²=abcg⁵j, hi²j²=ai²j², e²g²j³=e²j³, g⁶j³=g⁴j³, eh²j³=e³j³, h³j³=ae²j³, eij³=bc³, i²j³=abc³, ej⁴=cj⁴, cj⁵=cj³, j⁶=j⁴, b²k=k, ck=ab²c, dk=abc, ek=ab²e, fk=bc, g³k=ag³, gh²k=agh², gi²k=agi², h²j²k=ah²j², i²j²k=ai²j², gj⁴k=agj⁴, ij⁴k=aij⁴, h²i²jk²=ahi²jk², k³=ak²>

P = {a, b², c², c⁴, ae, bce, ae², b²e², c²e², ae³, bce³, ef, e³f, g², c²g², ceg², e²g², c²e²g², ce³g², g⁴, c²g⁴, e²g⁴, g⁶, bh, ag²h, ag⁴h, ag⁶h, h², g²h², g⁴h², g⁶h², ah³, ag²h³, ag⁴h³, ag⁶h³, bcei, bce³i, gi, c²egi, e²gi, acg²i, aeg²i, ace²g²i, ae³g²i, ceg³i, acg⁴i, eg⁵i, e³g⁵i, bhi, bcghi, ag³hi, cgh²i, g³h²i, ag³h³i, i², e²i², g²i², e²g²i², g⁴i², e²g⁴i², g⁶i², bhi², ag²hi², h²i², gi³, e²gi³, aeg²i³, ae³g²i³, eg⁵i³, bhi³, ag³hi³, aj, ab²j, ae²j, ae³j, efj, e²fj, e³fj, cgj, egj, ce²gj, e³gj, bg³j, be²g³j, abcg⁴j, abeg⁴j, abe³g⁴j, abhj, acghj, aeghj, abg³hj, beg⁴hj, cgh²j, egh²j, bg³h²j, abeg⁴h²j, abg³h³j, bc²ij, be²ij, agij, cg²ij, be²g²ij, c²g³ij, abeg³ij, bg⁴ij, be²g⁴ij, abcg⁵ij, g⁷ij, abhij, abg⁴hij, ag⁷hij, ah²ij, bg⁴h²ij, g⁷h²ij, h³ij, abg⁴h³ij, ag⁷h³ij, ai²j, egi²j, e³gi²j, bg³i²j, be²i³j, agi³j, be²g²i³j, abeg³i³j, bg⁴i³j, g⁷i³j, abhi³j, ah²i³j, j², be²j², g²j², e²g²j², g⁴j², g⁶j², bhj², ag²hj², ag⁴hj², ag⁶hj², h²j², g²h²j², g⁴h²j², g⁶h²j², ah³j², ag²h³j², ag⁴h³j², ag⁶h³j², egij², e³gij², aeg⁴ij², g⁵ij², ag⁵hij², g⁵h²ij², ag⁵h³ij², i²j², g²i²j², g⁴i²j², aj³, cgj³, egj³, e³gj³, bg³j³, abeg⁴j³, abhj³, acghj³, aeghj³, abg³hj³, beg⁴hj³, ag²ij³, bg⁴ij³, abhij³, g²hij³, abg⁴hij³, bh²ij³, bg²h²ij³, bg⁴h²ij³, j⁴, g²j⁴, g⁴j⁴, bhj⁴, ag²hj⁴, ag⁴hj⁴, h²j⁴, g²h²j⁴, g⁴h²j⁴, aj⁵, bg³j⁵, abhj⁵, abg³hj⁵, agij⁵, bg³ij⁵, g⁵ij⁵, abhij⁵, abg³hij⁵, ag⁵hij⁵, bh²ij⁵, ag³h²ij⁵, g⁵h²ij⁵, ak, ag²k, g²hk, ah²k, h³k, agik, abhik, ai²k, ah²i²k, abhi³k, jk, bhjk, gijk, bhijk, i²jk, bhi³jk, aj²k, ag²j²k, g²hj²k, j³k, bhj³k, bhij³k, aj⁴k, j⁵k, bhj⁵k, k², g²k², ahk², ag²hk², h²k², ah³k², gik², i²k², ahi²k², h²i²k², agijk², abhijk², bh²ijk², abh³ijk², abhi³jk², j²k², g²j²k², ahj²k², ag²hj²k², bij³k², bg²ij³k², abhij³k², abg²hij³k², j⁴k², ahj⁴k²}

Phi = 1 a a 1 b a ab b b c c a d e f g b b ab ab² h i j k

Monoid Structure