Details Page for 0.1347

Complete Solution is Known:

MSV File: q-0.1347.msv

Growth Pattern:

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Details for Q₃₁₃₄(0.1347):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o | a²=1, b³=b, c³=c, bcd=abc, d²=b²c², be=abc, de=b²c, e²=b²c², bf=bd, df=b²c², c²ef=ef, f²=b²c², bg=bc, c²dg=dg, ceg=dg, fg=aef, g²=b²c², bh=abc, c²h=h, dh=b²c, eh=b²c², fh=ef, gh=ab²c², h²=b²c², b²i=i, di=ac²i, ei=aci, fi=ac²i, gi=ci, hi=aci, i²=b²c², bcj=abc, bdj=bc², c²dj=dj, ej=cdj, fj=cef, c²gj=gj, dgj=ef, hj=b²c, ij=ac²i, j²=b²c², bck=c²i, bdk=aci, c²dk=dk, ek=cdk, c²fk=fk, c²gk=gk, dgk=cfk, hk=abc²i, ik=bc, jk=abci, k²=b²c², b²l=l, c²l=l, dl=al, el=acl, fl=al, gl=cl, hl=acl, jl=al, kl=bcil, l²=b²c², b²m=m, c²m=m, dm=am, em=acm, fm=am, gm=cm, hm=acm, jm=am, km=bcim, m²=b²c², b²n=n, c²n=n, dn=an, en=acn, fn=an, gn=cn, hn=acn, jn=an, kn=bcin, n²=b²c², b²o=o, c²o=o, do=ao, eo=aco, fo=ao, go=co, ho=aco, jo=ao, ko=bcio, o²=b²c²>

P = {a, b², ac, ac², b²c², abd, ce, acg, ac²g, aeg, ch, abi, cj, gj, ak, ab²k, ac²k, dk, fk, acgk}

Phi = 1 a a 1 bc bc abc abc b b a ab²c² c b²c bc bc abc bc² bc² d ab²c² c²g b²c e abc abc bc² bc f ab²c² g b²c h ab²c bj bc² bc abc² i c²i ac²i b²c bci bci abci bc bc² abc² ab²c ab²c b²c j ab²c² k bc² bc² abc abc ab²c b²c b²c ab²c² ab²c² bc² bc² bc bc c²i b²c b²c ab²c² ab²c² bci bc² abc bc bc c²i c²i ab²c² ab²c² bci bci abci abc ac²i c²i c²i ac²i ab²c bci bci bc bc abc abc bc² bc² ab²c² ab²c² b²c b²c bc bc abc bc² bc² ab²c² ab²c² b²c b²c ab²c abc abc bc² bc² ab²c² ab²c² b²c b²c ab²c ab²c abc² bc² bc² abc² c²i c²i ac²i b²c bci bci abci bc² bc² abc² ab²c ab²c b²c b²c bci ab²c² bc² bc² l c²i ab²c b²c b²c ab²c² ab²c² bc² bc² l ac²i bc b²c b²c l ab²c bci bc² abc l c²i bc ac²i bl ab²c bci bci bc²i bc²i c²i c²i ac²i ci ab²c bci bci bc²i bc²i l bc² bc² ac²i ab²c² bcl b²c b²c bc²i abc l bc² bc² ci bcl b²c b²c ab²c bc²i l bc² bc² ci ab²c² ab²c² b²c ab²c ab²c abc² bc² l abc² c²i c²i ac²i bcl bci bci abci abc² abc² c²i ab²c ab²c ac²i bl abci ab²c² bc² l l abc ab²c ab²c bl abcl ab²c² bc² cl l l bc b²c bcl bcl abcl bc² bci l l c²i c²i aci abl ab²c bci bci bc²i bc²i c²i c²i ac²i ci bl bci bci abci abci bc²i l ci bc² bcl bcl abl abci abci l l abcil ac²i ci bcl ab²c abcl bc²i bci bci l acl ci ab²c² ab²c² bcl abc²i bci abc² l l aci c²i c²i ac²i abc²i bci bci abc² abc² aci aci ab²c ab²c ac²i bcl abci bci al l l ab²c ab²c bcl bl bl bci bc² acl al ab²c ab²c c²i bcl bcl ail bc² bci abc²i l c²i bc aci bcl bcl bci bci abci bc²i c²i c²i aci ac²i bcl bci bci abci bc²i bc²i l ci ac²i bcl bcl abl abci abci cl acl abcil bc² ci abil abcl il bc²i bci bci cl bc² ci aci ab²c² abcl abc²i bci bci l l aci c²i c²i ac²i abc²i bci bci abci l aci aci c²i ac²i ac²i bcl bci bci abci l l ab²c ab²c abl bl bl ab²c² bci bci cl ac²i c²i c²i abl bl bcl bc² bci cl al ab²c c²i ac²i abcl bcl bci bci bc²i bc²i c²i c²i aci ac²i bcl bci bci abci bc²i bc²i l ci ac²i abil bl bcl abci abci cl cl al bc² bc² abcil m il bc²i ab²c ab²c cl bil ci ab²c² bl abcl abc²i bci ab²c l l aci c²i c²i abc abc²i bci bci abci l aci c²i c²i ac²i ac²i bl abci bci acl l l abcil ab²c bcl bl abci abci bci acl cl cl c²i ab²c m m abcl bc² bci al l c²i c²i bcil abcl bcl bci bci bc²i bc²i c²i c²i aci ci bcl bci bci abci bc²i bc²i l ci ci abcil m il abci abci ail cl bcm bc² ci abil m il cil bci bci bcm bil abcil abil m abcl il bci bci cl cl abcm aci ac²i bcl bcl bci il abci l aci aci c²i ac²i ac²i bl abci bci acl cl bcm abcil ab²c bl bl m bci bci acl bcm abcil c²i c²i abcil m bl bci bci bcm bcm c²i c²i bcil m m bci bc² il bcm c²i c²i aci m bl bci bci bc²i bc²i bcm l ci ci abcil m il il abci ail bcm bm bc² bc² m m bc²i bc²i ail bci bcm bil aci abil am m bc²i cil acil bcm bcm aci c²i c²i m m abc²i il abci bcm aci abil c²i ac²i ac²i bl ail bc²i bci cl bcm ci ab²c abl m cm abc² abci bcm bcm abil c²i abcil m m bl bci bci abm bcm c²i c²i bcil m m bci bc² bcim bcm bcm aci aci abil m bci bci abc²i ail abcm bm aci aci abcil m m il bc²i ail bcm bcil bc² ci cm m il bc²i cil bci bcm bil abcil abil cm m il ail bci bcm abcm im bil ac²i ac²i am abc²i il bci bcm aci aci bil ac²i ac²i acil bci bci cil bcm abil abcil ac²i m m am abc² abci bcm abcm abil c²i bcil m am ail bci bci abcim abcm abcil c²i bcil am cm bci bci bcim bm bm aci aci abil am cm bci abc²i abcim abcm bcm bcil ci abil m m il bc ail bcm bcil bc² abcil acm m il cil ail abm bcm bil bcil abil cim cm il cil bci bm bm abcm aci ac²i ac²i cm abc²i il il bcm aci aci bil ac²i cl bim acil bc²i bci abcm abm abcil ac²i m cl acil bci abci bcm bm abil ab²c bcil abcil cl ail bci bci abcm abm abil c²i bcil cm cm bci bci il bm bm im aci abil cm abclm il il abcim bl bcm bcil bcil im cl il il bc²i abcm bl bcil bc² im m cl bc²i il bcim bl bcl abcl bcil cim cl l il il acil abcm abl im abcil c²i cl abclm l il bcl bcl clm aci ac²i ac²i cl bclm ail abci abci abcl abcl ci ac²i abc l al abc² abci abcl abcl ab²c ab²c im cl l bci bci bcim abm bcl c²i c²i im l acl abim ail bcim bm bl im aci cim cm acl abcim bcim bim bcl alm abil aci ci l abclm abcim bc²i ab²c² bl bl aim im cl l bc²i bc²i abm bl bcl abcl ci cim cl acl bcim bci bci bl lm im im aim l l abc²i bci bcl bcl abcl abcl im ac²i ac²i al bci bc²i abim bcl abcl abil ci abc l al abcim abci abcl bcl bcl ab²c im al l l bci bcim lm bcl acim im abc² l acl ail bcim bcim abcl bl im aci abc² l l abcim bc²i abc²i bcl ab²c² im ci ci l bclm abcim b²c bc²i bcl ab²c² bc² ci cl l acl bc²i bc²i bl bcl ci ci cim cl l bc²i bcim abcim bl abcl abl aim c²i l l abim bci abcim bcl bcl c²i c²i aim l al bcim bc²i abim bcl ab²c im ci cim abc al abcim bcim ab²c² bcl bcl ab²c im al l l abci bcim b²c bcl acm im aci l abc² bci bci bcim abcl bl ab²c² im abc² l l bci bcim bc²i bcl ab²c² lm ci ci abc bci bci bc²i clm abcl abcl ci ci cl l abc² bc²i bc²i bl ab²c abcl im cim cl l acl bcim bim bl abcl abl cim cim l l bim bci bcl bcl abcl cim im c²i l bci bim bcim abim bcl ab²c c²i im abclm l al bcim bcim abcl bcl bcl ab²c im al l abc² abcim bci b²c bcl acim im im abc² abc² abclm bcim ab²c b²c bcl im im acl bc² l bci bcim ab²c bcl bl lm im ci l bclm abcim bc²i clm abcl abcl ci ci cl abc² acl bcim bcim ab²c ab²c abcl im cim bc² l bcim bcim abcim ab²c abcl abl cim cim l l abim bcim bcl bcl abl abcl aim c²i l cl bclm abcim aclm bcl ab²c im im blm l abclm abcim ailm abcl bcl bcl im cim al l cl bm bm abcl ab²c aclm im im abc² bclm abcim bcim bcim abl ab²c im c²i acl l l abcim bcim bim bcl lm im im bcilm l cl abcim bc²i clm bcl bl aim im cl l ilm bcim ailm bl bcl bcilm im im al l bcim bcim ailm bl abcl im aim abcilm l l abim bcim abcim bcl bcl im aim aim l al bim bim m bcl abcl cim cim blm l n bcim bcim abcl bcn bcl im abcilm bcilm n acilm abcim abcim cilm am aclm im im l n ilm bcim ab²c abcl bcl im im cim l l abcim bcim abcl bcl bl aim abcilm im n n cilm bim ilm bcn bcn aim im cl cl n ilm ilm bl bcl bcilm cim abcilm n n ailm bim alm bcn bcn abcn cim bilm cl l lm bcim bcl bcl bcn bilm cim bcilm l al abim acilm bcn bcl abcn cim im abc²i al cn bim bcim m bcn bcn bilm abcilm abcilm n acilm bcim ilm abcn bcn bcilm im abcilm l n n ailm abcim bcn bcn im im abcilm n n abim abim ailm bcn bl aim abcilm im n cl bim bim abcn bl bn aim acim cl cl abcim cilm cilm bcn bcl bn cim bilm cl alm acn cilm cilm abclm am abn cim in abcm n abim bcim abcim bcn abcn blm cim aim n bm abim abim bcin m bcn bcilm bcilm abc²i n lm acilm bcim aci abl ablm abilm abcilm bcilm alm alm bcim bcin abn abclm im bilm bilm n alm alm bcin ailm abcn bn im acim in acl acl abcim bcin ailm abcn bc²i bclm abcilm in an cl ilm bim abcin bl bclm in in cl lm ilm ilm bcin abcn abcn ab²c² cim abilm abm lm clm acilm bcin bl cm cim in in bcm cn abc abim bcl abl blm abclm in ail alm alm abcim bcin abcin acm abclm abilm in abcm cn lm bcin bcim abn bclm abclm in in cl alm alm bcim bcin abin ablm bilm acil in lm alm alm bcin bcin cm acil ablm in acn clm alm alm bcin abcim abclm abclm in in acn clm alm abcin abcil abcil acm bclm ail in in lm aclm abin bcin bin m blm in in abm abm bcln bcin bcin abn am am ain cn cn abc abc bcin bcl acm abclm abclm in alm alm lm bcin bcin bn bclm 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bcim bcimo ailmo cl l acmo imo aimo abcn abim bmo bimo abiln al bcln bclmo bin no bcl aln ilmo cin ain al cl bilmo imo acino abcl abl ilmo abcimo bcln l amo abcilmo ailn abcl abcl bl ailmo in abcln cl im im bcin bl bl ab²c² in bcimo cl al bcilmo bcilmo no bcl abl ilmo abimo ain acl cl bilmo bin ln bcl abl bimo in abcln cl abcio aimo bcin abn abcl abcl bimo in cl l amo imo iln cln bcl bcmo bcimo acilmo l l abio imo abin bl bcl abmo abcino n l acl aimo aino ano abl abl bcim in acl al abcio bcilmo bcin abl abcl ilm ailmo cin in l acmo bilmo bcin ano abcl lmo bcimo in cmo acl blmo abin bcin bcl bcl clmo in bcno cl acmo bcilmo abcin ln bcl abcl ilm in ain amo cl bilmo abcin abcin bcl ailm ilmo in l al acl iln bcin bcin abl lmo bcino in bcno l amo bcin iln abl bcl lmo in in l l acmo bin bin bmo bl ab²c² cin bciln l abio acmo iln iln aclmo abcmo acin cin cin cl cmo abcilmo bcin abl bcl abcmo abino in bno cl cl bin bcin abcl bcl abo cin in cmo cl acmo abin bcin bl bcl ailmo in in cl mo ciln ciln bcin bcl bcl abino in in al mo ciln bin abl ab²c² b²c ain ain l mo amo abcin abcin bcin bcl bmo ain in l abc² abc² abcin bin bcl abl abciln bciln ain bc² mo abclmo bin bcin bmo abl abmo acin acin l abclmo aciln ailn ab²c ab²c ab²c² bcino cin acl l bilm bin bcin ciln ab²c² abmo acin in in cl amo ailn abcin bcin bcmo abcmo in bciln acil l ciln ciln abcin ab²c² bcl bcmo in m cl abc blo ailn ailn ab²c bcmo aclo ain ain cl cl ciln ailn abcin ab²c² bmo biln abciln bcino bcio bc² aino bcin aci bl bmo bciln il amo abc cmo bin abm bcilno lo abciln bciln bciln abc² abc² ailn iln iln ab²c bcmo abmo in bc² l im ailn bin bin bcmo bmo bcino cin biln bc² amo aciln ino abcm abl bo cin bcno abcino cl cmo bin ailn bmo bcmo almo abco cm bc² amo amo ailn bcm bmo bcmo biln acin m amo amo ao bcin ab²c² bcmo bcmo bciln in imn amo acmo aciln abcin abcin bcmo bcmo ain in l acmo amo iln aci ab²c² abcmo bmo in cin aimn im cmo ciln abin ac²i ab²c² bcmo biln biln cl mo acmo bin ino bmo bcmo abmo cin bc² mo cmo aino ac²i abm bcmo abcmo bco bciln bc² mo cmo ailn bm abcin bcmo abcmo abciln ain abc²i amo amo abin abil bcm bcmo clmo in bci amo amo acmo bcin bcin bmo bcmo clmo in abci mo mo bcin bcin aino bcmo bcmo bcino in bci mo mo aino abcin aci bcmo bcmo ain ain acm mo amo ailn bin bil bmo bmo bcino abc²i amo mo acmo bin ac²i abcmo bcmo bcmo acin ail amo mo acmo bcin abm bmo bcmo abmo bci cl amo cmo ailn bin abil bcmo bcmo ain bci biln acmo acmo ciln c²i aci bcmo abcmo cin bci bci mo blmo ciln bil bmo abcmo abcmo ain bc²i cmo mo ailn abcin aci bl bmo biln bci bci mo mo iln ac²i abm bcmo bcmo abcino bci abc²i amo amo ino ac²i ac²i abcmo bmo abciln bc²i bci cmo abil abcin ac²i abcilno bcmo in bci il bclmo amo cmo ac²i ac²i abcil bcmo ail abc²i abc²i amo mo aciln ac²i ac²i abmo bcmo abiln bci bci amo mo bil c²i almo bmo bcmo abci bci bclmo mo amo ciln c²i lmo bcmo abiln bc²i bci acmo acmo blmo c²i c²i almo abmo acil bc²i bci amo amo abcil aci ac²i almo bcmo bci bci blmo abclmo ablo iln ac²i ailmo bcmo bcmo bc²i abci ablmo bclmo abcn aci c²i bcmo bcmo bmo il abci ain amo abil aci c²i clmo bcmo abcmo abci bc²i bclmo amo bcil c²i ac²i abcmo bcmo abno bci bci amo mo abcil c²i c²i bmo bcmo in bci bci amo mo bcil c²i ac²i abcilo an il bci bclmo abcn bcn ac²i c²i lmo abmo bmo ail bci bclmo aln abil ac²i c²i bmo abcln ain bci abc²i abclmo mo abcil c²i ci bmo aclmo il abci abci mo bclno abcil c²i aci bmo abcmo acil bci bcilmo mo cln ci ac²i ailmo clmo bln bci abci blmo mo aln c²i c²i abimo clmo il bci bci blmo cmo abcil c²i ac²i lmo bcmo ail bci abci bclmo cmo bcil c²i ilmo bmo bcmo bc²i bci bilmo acmo abcn abcil ac²i bcimo bcln lo bci abc²i acln acno abn bcil ac²i lmo bln n il abci aimo ln abcil aci c²i abln an ail abc²i cil abn abn abcil aci bcimo bcln bln cil abci abc²i blmo bn abcil ac²i aclmo bln acn ail bc²i bcilmo acln bcn bil ci aclmo bcno in bc²i cin cln aln abil ci aci lmo cn il bci imo cln cln bil c²i bcimo lmo an ail abci abcilmo abclmo abn abcil ac²i bcimo bln acn bci abci acln bcn bcn bcil aci abimo n cn abci acil imo acln cln ac²i aci abcln bcln ail abc²i aimo cln cln bil ac²i bcimo bln acn il bci imo aln abn abcil c²i abcimo abcno acn il bc²i acimo bcn bcn abcil bil bcln bcln cn acil bc²i bcilmo abn bcn abil abcimo abcimo cn aim bc²i imo acmo bcn abil abcil bil bcln acn il acil aimo cln bcn abn abil bcimo acn n alo acil aimo cln abcn aci abcil bln bln cn ail acil acln abcn abcn abclo bcimo bcimo abln cn ail imo aln bcn abcim bcil abcimo acilmo n acl il ail cln cln abil bcil bcimo bcno acn acil imo imo aln ln abcil abil abcimo bcln an acmn imo aimo abn bcn abcil bcimo bcln bcln abln acil aimo ln bcn bcim ci abcimo abcimo bln im acil imo ano bcl bil bclo bimo abcln bcln cim bc²i imo abcl abcn abim abclo bcimo lno cl cil abci aimo bcn abim bcmn bcimo bcimo n im bo acm acln bl abn abcil abcil bcimo cl n mn imo bcl bcn bn bcimo bcimo cilmo bcilm acim lo aimo abcl abl bcil bimo bcimo l acl il aimo imn no bcl bn abil abcimo cl acl cil aimo bcilmo abl bcim bcmn bcimo ailmo cl cim aclo amn abl abn abil abmn bcimo ilmo acl acil imo imo bn bn abcl bcmn bcimo clo an acn acmn acimo cln bl acln bcimo bcimo n acl an aimo aimo bl bcn bmn bcimo bcimo acn cl bcimno imo acln bcl abl bmn bcimo bio l acn mn cio bn bcl abclno bcimo bcimo bcln acl acl bcmno imo bcl abn bclno abcimo bcimo al n alno aclo aimo bl bl bn bcimo abcimo acl n abcno cimo cimo abl bcn bn bcimo abio an l lno aimo acio bcl abl aclmn bcimo acl acl acn alo aimo bcl aln bn bcmn bcimo abcln acl alno imo imo abcl bn bclno abcimo cilo l n bcln imo acio bcl bcn abcmn bcimo abio l l acmn imo bilo bilo abcn abmn abcimo acl an an amn imo abl bl abcn abcimo abcimo cl acl alno imo imo abclo abl aln abcimo abcimo acm n n imo bilo bcn abcn bn bcimo cilo cl n cmn imo acio bl bclno abclo abcimo bimo bcno lno amn acimo bcl abn bn cilmo bcimo abcimo abln bln acmn imo abcl cno acln bcimo abcimo m acn bln imo imo abl abl acln bcimo bcimo l acl bcilno cimo cimo abcl bn bmn abcimo bcimo bcln bcln alo imo cio abclno bcn ilno bcimo bcimo acl cn alo aimo bcl abcn abcn bcimo bcimo ilo n bcln imo bilo abcilo abcn ablno bcimo acilo acilo acn alno imo cio bclo abcn bcmn abcimo ailo ailo n clno imo ablo abilo abn abcino abcimo biln bcln abcln bilmo bilo cio ln bcn bcimo acilo abciln acn an bclmn imo bcilo bcilo cln ilno ailo acin cn bln cimo bcin cln bcn ablno abio bimo ain acn bcln cio acio bcilo abcn acln bcimo ailo ailo acn amo cimo bclo abcn bcn clmn bcimo abciln acn n aimo bcilo bcilo abim bcmo abmn bcimo ilo cn an bclmn bcilo abin ablno bn abcimo acin bio bcln bcln blmn cio bilo abn ln cilno ilo cn cn bcin cio aln cmno abmo clmn bcimo bio cn bcln imo aciln bm ln abcmn abcino abcino abciln clno cn ino abcm abin mno cln ilno blm ilo bcln bclmn ailn lm bcilo aln aln abino bio abclmo cn mo ailn cio iln acln abmn ilno cin ailo bcln abclmn acio bl cmno clmn lmn acilo l abclmo an ablmn bcilo bcilo amno bcn clmn bio acilo acilo an bin cio aino bcmo abcn acilmo bio ilo amo amo mn bcilo no abmo almn abcimo acilo mo cmo blmn bin cio ln ln abmn ailo cin mo bcln imo bin bilo ln bcn biln cin cilo amo bln bln bin abilo abcmo abcmo ilno ailo ailo mo abclmn bin cio aciln bcmo bcn abio ilo abc² mo abclmn bcin abcilo cln bcmo aclmo bio abciln ailo acmo acino ailn iln lmo almn abiln ain acilo ablmo cmo ailn bcin abilo bmo abcn abciln acin bln bln an bcilo bcilo bilo bmo almn bino ilo acilo an amn bcilo aio abcilo bcmo cmno abciln cilo abcmno mo abil abcin abin ab²c aclmn bmn biln ailo mo amo bcmno bilo bcilo ab²c cmno abcino cin bcln amo aino abil abil bcilo abmo abcmo ailo acilo cimn cmo aino bcin bcin acmno bmo lmn in cin cmo mo abclmn aciln bcin bimn almn bciln abiln bilm ailo acmo ablmn bcilno abilo bcmo bcmo abiln cin cim bcmno acmo ailn ilm acio bcmo aclmn bciln bciln ilo cmo acino abcin abcin cio abmo mno abiln cilno acimn amo amo abin abin mno bcmo bcmo cin abcilm cmo acmo abin abcin acio bcmo bcmo cilno abcilm bc² mo mo abcin abcin aciln bcmo bcmo ailo im im mo aino bin abil abin abcmo abcmo bcilm bcilm cimn mo bclmn bin acilm bcimn bcmo lmn abilm bciln cilo bcmno acino bcilo abcilo abimn bcmo abclmno bilm abilm bcmno bcmno bilo bcin ailn bcimn abmo abcmo bio abio abio amo ailn ailm bilo bcmo mno abilm acimn abio cmo aino acilm cilm bno bmo cmno

Monoid Structure