Details Page for 0.7267

Complete Solution is Known:

MSV File: q-0.7267.msv

Growth Pattern:

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Details for Q₉₁₆(0.7267):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b⁴=b², b³c=bc, bc²=b³, c⁴=c², bd=abc, c²d=ac³, d³=d, b³e=be, be²=b³, e³=e, bf=abc, c²f=ab²c, cf²=cdf, df³=d²f², f⁴=f², bg=abe, c²g=ab²e, e²g=g, dfg=ab²e, f²g=ab²e, g²=aeg, bh=ab³, ch=ab²c, dh=acd²eg, e²h=h, f³h=fh, gh=cdg, h²=b², b²i=bce, bci=b²e, c²i=bce, cd²i=ci, ei=bc, cfi=cdi, d²fi=fi, f²i=dfi, gi=abc, hi=abce, bi²=b, fi²=di², ci³=ci, di³=fi, i⁴=i², bj=abc, c²j=ab²c, cfj=cdj, defj=d²ej, df²j=d²fj, f³j=fj, gj=fg, f²hj=hj, d²ij=ij, fij=dij, i³j=ij, j²=b², bk=abe, cd²k=ck, e²k=k, f²k=dfk, gk=b², fhk=ab²ce, ik=abc, jk=b²ce, k²=b², bl=be, cl=b²ce, d²l=l, el=b², fl=ab²ce, gl=ab², hl=ab²e, il=bc, jl=ab²ce, kl=ab², l²=b², b²m=ab²ce, cm=ab²e, dm=b²e, em=ab²c, fm=b²e, gm=b²c, hm=b²ce, i²m=m, jm=b²e, km=b²c, lm=ab²c, m²=b², b³n=bn, b²cn=cn, c²n=b²n, dn=acn, e²n=n, cfn=ab²n, f²n=n, gn=ab²en, hn=ab²n, in=bcen, cjn=ab²n, kn=ab²en, ln=b²en, mn=acen, n²=b², bo=abc, co=ab², do=b², e²o=o, go=b²ce, ho=b²c, io=abe, jo=afhj, ko=b²ce, lo=ab²ce, mo=b²e, no=acn, o²=b², bp=be, c²p=p, dp=acp, e²p=p, fp=ab²ce, gp=ab², hp=ab²e, ip=bc, jp=ab²ce, lp=b², mp=ab²c, np=b²en, op=ab²ce, p²=b², bq=bcn, c²q=q, dq=acq, e²q=q, fq=ab²n, gq=acen, hq=acn, iq=ben, jq=ab²n, lq=cen, mq=ab²en, nq=b²c, oq=ab²n, pq=cen, q²=b², br=bn, c²r=r, dr=acr, e²r=r, fr=acn, gr=ab²en, hr=ab²n, ir=bcen, jr=acn, lr=b²en, mr=acen, nr=b², or=acn, pr=b²en, qr=b²c, r²=b², bs=ab²ce, c²s=s, ds=acs, es=abc, fs=be, gs=bc, hs=bce, is=ab², js=be, ks=bc, ls=abc, ms=b³, ns=abcen, os=be, ps=abc, qs=aben, rs=abcen, s²=b², b²t=t, c²t=t, dt=act, e²t=t, ft=act, gt=aet, ht=at, it=bcet, jt=act, kt=aet, lt=et, mt=acet, ot=act, pt=et, qt=cnt, rt=nt, st=abcet, t²=b², b²u=u, c²u=u, du=acu, e²u=u, fu=acu, gu=aeu, hu=au, iu=bceu, ju=acu, ku=aeu, lu=eu, mu=aceu, ou=acu, pu=eu, qu=cnu, ru=nu, su=abceu, u²=b², b²v=v, c²v=v, dv=acv, e²v=v, fv=acv, gv=aev, hv=av, iv=bcev, jv=acv, kv=aev, lv=ev, mv=acev, ov=acv, pv=ev, qv=cnv, rv=nv, sv=abcev, v²=b², b²w=w, c²w=w, dw=acw, e²w=w, fw=acw, gw=aew, hw=aw, iw=bcew, jw=acw, kw=aew, lw=ew, mw=acew, ow=acw, pw=ew, qw=cnw, rw=nw, sw=abcew, w²=b²>

P = {a, b², c², d, ad², ace, de, acd²e, ae², c²e², de², ad²e², af, acdef, ae²f, f², d²f², e²f², d²e²f², af³, ae²f³, eg, adeg, d²eg, efg, aci, di, i², d²i², aj, acdej, ae²j, de²j, fj, d²fj, e²fj, af²j, ae²f²j, di²j, aek, ac²ek, ad²ek, efk, adefk, adl, aim, ajn, f³o, acep, aceq, ckq, cer, ackr, cs}

Phi = 1 a 1 b ab bc abc c d c²ek b³ ab³ bc abc e b²c f g ab³ b³ h i b²c j adfk k cdij ij ab³ b³ ab² l bc b²n abe ab³ b³ m b²ce ab²e n bc o be abe p b ab² b²n abce bn bc abc abcn q r abce bn bc abc abcn ab²e bim acn abce bce bc acekp bcen ab² ab²n b²en be abce ab³ abn bn cekq b²n be b³ ab³ abn ab²ce aben s be bc t bcn ben b²ce abt bn ab²n bc b²e abe bcn abt b²en ab²en abce bce abn bcn bt cn b²en cen ct abce bcen b²e ab²e ab²en abcn at ct abce b²ce ab²ce abt aet abe t ben ab²en bct ab²ce cen abe cn acn bcn abcn bc b²ce abt abe be b³ bcn b²en bcet acet ab²n t act ct abcet abt bct b²c cet et bn bcnt abct ab²c abe cet ab²ce et abn ant bt bcnt abcnt bnt b²en t bcen abcen abce abt ab³ abc ent nt acnt ab²n bet ct aent abcnt acet ben abc abe ent cen t acet u be abce au abcet ab²ce abu bcen abcen u acu bc b²en cent aet ab²n ab³ b³ beu b²en be aet ct u bcen ab³ abeu ab²n ab²c cet aben u bet abt abu abcu abce cent nt b²e abet bet b²n cen acu bn abcu abt aceu abu aet et acen aent cent cu b²c be bc u aceu abcu bce bct b²n bnt ab²e ant abu bcen bet acen abc ct bu nt abe aceu au u ct bcu abn bn aeu au b²n abcent bcent aceu aent ent nt anu be at abnu ceu b²n cnt beu cnu t ab²c abu bcn bcu acnt aben b²en abnt bcenu abcen cent acet abct abce bent abcnu abu u bc bcent aceu abcnt b²n abcet bn abn beu bcent ceu abcnt tu cn aeu beu u abe bcent tu abcenu abceu btu abce at bnt acnu ab²e ab²en bctu bnu aent abet aeu aenu ab²e aceu bu ent ben cetu abent beu aeu abe aben nt atu bcetu acu aceu abt bcnu cnu anu ab²en cen ntu abntu cntu abeu beu bcent abenu b²e atu acu cenu b³ bntu cen entu bcu eu ab²en btu beu cet acet aeu cent abcnt nt bceu b²ce bntu bcntu antu abcnu aeu abc bn bu cenu ab² abet aentu acent abcentu v bcntu aeu bent bcenu cen av aenu aet aentu abcn abv v cnu bcen cen acu abct bent ab²en abet ent v bcen abctu acet cetu ab²ce av at beu cet ab²e cen bcnu abcu acent cnt abentu abcn bcnt act av enu abe v bv abv at cen abcen cu abcu bv b²c aceu acn nu nt av btu abenu be abt bt bcnt cent bcn aev bct v aet benu acenu acv bu ant btu antu ab²c aev aentu aben acenu au abcenu bv ab²en bnv aev abcent abentu abcev ceu cntu centu ntu bn tu bcntu acn bv abcenu abu abct ct ab² abtu ceu bnt bt ab³ acv bn b²n abcv cu ent b²e acn aet cet abcv bv cnu abet cv abu v abctu bn ab²n abet atu aenu eu cen abcetu entu au abcnu bcen aet aev aeu bcntu bnu abcnu acev cent bntu bnv aeu abcv nt bu cev anv acv atv abce bev abcenv bv bctu bc bcev abtu nv abcnu enu tu aev ent anu abcntu abcv abtu ab² v benv acnu bv entu acev etu abnv v acnu abctv acu aentu bent cntu nu acv acn eu abcnv act tv env abcet anv nv beu acu abcnv actu bu btv cnv cev abtv bcnu abcu abct ben abceu cent abcv bcetv aetv bet av aev aenv nt bcetv abet abev cnt abeu b³ ctv aeu aenv antv bnu acv ab³ bcentu v abcenv abn btv acv aentv bntv bcntv aent beu abev bcnv acentv abcv tu act bcetu bcenu abv bcntv etv acv abe bcev abcen abcenv bnv bcu cnv abcent cet bct cetv abcv abceu tu bctv etv abenv abcnv bceu abnt nt b²ce abtv bentv v bc abtu bcetv acn abnu av abctv etv uv benv nv env acuv abcn abntu abcnt ab²n b²c uv nt cuv u bnv ab²c euv aet bcv bcnu abnv abnt bcuv at ab²e auv abent abcen entv acv cv bu bcenv ben cetu aeu et bcuv bcnu bnt bcenu abctu env abuv benv acen bct acent at bu cetv buv bctu bcuv cu bnv bcnu euv enuv cetv abnuv abnv ceuv antu be abcet v b²en bceu euv aenu benu av cntv atv buv u abc acentu antv abcnt antu bcnu etv bnu acentv acenuv cent ct ab²e abnuv entv etu abcentu bnu btu acenuv bcent abcuv acntv b²e acuv anuv abctv av cn abenv ctuv acuv acntu aben ant abev abenuv aentu bcenu nuv cenv ceuv ben acetu benuv abcet abv bntv acv cetu buv abu cetv nt aceu at tv abceuv beu abctu abenuv acnt ntu bnv bcuv bceuv bcenuv abcnv abcet acv btuv aben nuv cetu abtv ctu betuv abuv aetuv bce cev abcnv cen b²c ceuv aeu cetuv b²en acuv abcetuv tv u ctu abcnv ctv abet aenu cnt abtuv euv cen bcntv abnuv v ntuv abce abenu btuv bcenu acenv actuv ctu aent abenu bnv abev aenv bnuv abetu aetuv anv bnv b²ce bentv abceuv atuv au abev w acev aev abntv eu aenuv buv entu bcen bcntv nv aben btu cu antuv abntu betuv btv w bentuv cu bcentuv bcnv acnu acentuv t cv abctuv actv bcntuv bcuv abcetuv cnt bt ctu aceu w abcetu tv bentv cuv acuv abw bnt abce bu ant abnuv abentv acetuv bent acent acnv w aceu ab²e aetuv act btu cenuv bu bcet cent aev abcnuv aentv et ben bcnu bntuv at aw abcenu cenuv bw bceuv bet abet aw centuv bcen u bnuv cuv abctv b²e acn bcentuv bw abntu bnu bc antu w aw acetu abeuv cntu bw ceu w abnv bnw abtu abew nt antuv abcet abnu abenuv bcen aev acnt abew ntuv bcu b²n abcew bw bcw anv tv aentv acw centv bntv ct anu acntuv ew abnw tv abntv bnv b²c bctu acent abnw aetv cenuv abcenuv actuv acw acetuv acew acen abnw bn ben abe cew cnt bct entu abcew abetu v bntu abcw abcnw abcv enu abu abnuv bw btv bcw abent etv ntv bntuv acnw abtv aew acent beu benv acw anuv acentv abcentuv abnw abcv w abetv betv anu abcntu bw acw abentu acenuv t bew abent bcntu aenw cen abcnw abcenu abctuv bctu ew abetv bcnw abcnw eu ab²e bctu anw cu aw abent abcetu bu cv abntu abcentu aenuv abce ab²en bnu acev abcntu bcentv aeuv actw bcet bctw cw et actu cnw cent abt abctw bcntuv actw abetv entuv cnu acnt bu abcenw auv buv enu abetu abceuv w ew aetw nw abctw atw bcntu acnu acw abcnu ntw ew tuv ab²ce abnw btu abeu atu aeu aev bew w abcetu abctuv abentuv bnv acnw tw bcw bcn ew acent nuv abcew abcw abcnt aew bctv bcenw aenuv bcetw bctw actuv abent acw abcnu abcnt bcnv bcw ceu abent abenuv abenw ent abenu abctw bctu cen entuv cew abntuv tu bw abenu abntu cnv cetuv abtv euv acuv abe abeu abctv ceu bcetv bn cew acew nw abu acev enu abenw cw abce bctw atw abcew bcnw bcnv abcetu acw bcetw antw cetu cent abuw abt bcenv acnw abet cenw abenw bentw entw acntu ntu bcetw abcentv acetw ntuv abnw aentw w acenuv abcenu acnu abcnt abcnw ab²n w cent abcent anw tw abcew beu abenw abtu bcetw acntw abentw cuw acev abv abeuw abcentu cntu cnuv cetuv etu w bcenw ab²c abcetw acnw cuw bctuv cew abcv w bctw antw abcentw abctv antu bcuv abuw ctu acew aenuv acentv cetv abent bcnuv abcenuv ab²e beuv aben bceu aeu bentu tuv acv auw abentuv bcnv be aetuv abuw bcuw entuv btu abceuv antuv abnuw bcenw ctu bcetw ab²en bcuv abenw ntu abuw abcenuv w abenv cntuv nw abcev cw bcent cent cetw ctuv abct b²ce enuw abnv uw cetv bnuw acenw abceu actw abctw bceuw bcetuv ew buw abuw bnuw acuw tu abentu cntu cntw abuw enuw bcent bcenw bcuv acentw abntv betw aentw bcentw abcentw bcnw abe entv btv anw abcnu bcw abcen bcenuw abcenw abcenu abuv abetu benuv abcnuw v atw beuv bntw cew bu ctuv atuw abcev tw cev bce bcenu abcnw euv abnuv ctuv etuw acu abce abuw bceuw cetuv bentw nt cetv acnt benuv euw acetw acntv ctuv nw abcuv at bceuv abcw ab²n antu ctuw aentuv cnuw acn ab³ bcnuv auw abcw bctw abcntuw cntw nw abev bcntw benuw aew beu aeuv bn entv abnuv bcnv abceu etuw bcntv abcetuw actuw abctu bceu abcentuw abcuw v btw bentuw acntuw abcetuv tv bcenv acnv anw abcntw cntw aet cetuw ent abcuw nw bctuv abnw be abtuw bcetuw abuv aetuw bceuw u benw auv abev ct btv acetw vw cuw benuw abvw cntv ntuw acntw antv bc ab³ bn abvw bcew at bcev cnv bentu bcentw abntuw acetw acenw acvw cvw cent abetuv abctuv cuw abn bcetu ctv abcevw bcenw abcentuw benuw aevw antu b²n abceuw abntw bnvw aetv aentu bcent aenuw b²ce acew abcentv abvw acetuw cvw cnuv abceu abcnvw bnuv cetu bntv aenuv bcevw bevw cnv bctuw enw bentuw betuw bcentw tuv cenv acvw acnvw tw acenu nv bctw ant cen bentv bntw acv acntu bnt bctu acnw abcentu benu bcenvw anw bcew abcuw aceuv evw buw bcevw acent beu beuv cvw entw enw benvw tuv abcenv avw abcevw nvw ab²en acentuw abntw abentuw enw benu abtvw bnvw bcu aetvw betvw abc aetuv bntw abvw bet bcenvw nw bc abenuw abtvw abcntuv aenvw atvw ctuw cu abvw bcnv actuv entv abentuv aenu aent cntv bctvw abenv aetuv acetw abcetvw aet bntw centu ntw abctu acetv etw abctw acv bctuv acw acetvw aeuv bcuv bcev abentw bce antvw abcnv abcuv anv atu acnu b²en aenuw abcetuw abetv abcnv cetw abcen cuv ant centu tvw ntvw benu cvw bv nu abc cnw atvw bntu aevw cntu abcn acntuw bcuv ct b²en ceu abcv abentu auvw ntvw abvw abnuw abcenvw abenw atvw cnv enuv abetv cenw acetvw acentw cenuv btw abenw atuw abcvw bcntuv tw cuv bcw abvw abe bceuw nw abcetvw bntuw anw bcnvw abcentw tvw abeuvw ab²e abenuw bentuw cetuw actv bw betvw abctuw cetu antu ctvw acuw abcetuw cent bu bcentuw aceuw abcnw acetw cu betu bc betw abetuv abetuw abn cenu bceu abe aeu bevw acuvw abcntuv auvw aetv anv btv abcntvw nt abnw acenv aeuvw acentvw nuvw ab²n bu abnvw aenu auvw btvw abent aetuv btv abtuv bcuvw aentvw bcnv acnuw act cevw bnu bw abceuw actv abcenvw abeuvw antv abcnvw abn bnv tu acentv cnuvw bcnuw bcenu abcetuv bcv aetu abcetvw et etw bntuw bcenuw aentw benuvw bct betvw atuvw bvw abcevw ceuvw cenuvw abetuv abeuvw cnuvw bc bctu abcetuw ntw abentvw acenvw cenuvw euvw be abcuw abet abetv bceu abctuvw av bevw atuvw aeuw envw ctu cntv abnuvw nu acenvw auvw abcenw cuw abcvw acnvw bct cenuvw abcnt antu bcen nv btvw abnuv ceuv centuw cetuvw w cenuw abcent abcntuw abeuvw bce bent actuvw abentu cntuw bctvw acenvw acnuvw abcentv tuvw abcnw abevw ab² aenuv abeuv acetuw abetw cntv ntuw aceuvw bceuw acntvw ntuv abcntuvw bentw abe b²e euvw bcentv abent abevw acetuvw abc aetuvw bu centvw cenu tv bcen cw aenu aeuvw enuvw abeuw nuvw abcenuv abcentv ctu betuw abcetu cv abcevw atuvw acntv abetv abcentw bet ab²n abeu bentvw bu abenw ctw buv abetuw bcen btv abew aentu bcnu ctuvw aben acetvw bcetuv bcenuvw ntuv auw cw aenu atu

Monoid Structure